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Sample records for mathematics skill area

  1. Mathematical Skills and Motor Life Skills in Toddlers: Do Differences in Mathematical Skills Reflect Differences in Motor Skills?

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    Reikerås, Elin; Moser, Thomas; Tønnessen, Finn Egil

    2017-01-01

    This study examines possible relations between early mathematical skills and motor life skills in 450 toddlers aged two years and nine months. The study employs baseline data from the longitudinal Stavanger Project--The Learning Child. The children's mathematical skills and motor life skills were assessed by structured observation in the natural…

  2. Contributions of executive function and spatial skills to preschool mathematics achievement.

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    Verdine, Brian N; Irwin, Casey M; Golinkoff, Roberta Michnick; Hirsh-Pasek, Kathryn

    2014-10-01

    Early mathematics achievement is highly predictive of later mathematics performance. Here we investigated the influence of executive function (EF) and spatial skills, two generalizable skills often overlooked in mathematics curricula, on mathematics performance in preschoolers. Children (N=44) of varying socioeconomic status (SES) levels were assessed at 3 years of age on a new assessment of spatial skill (Test of Spatial Assembly, TOSA) and a vocabulary measure (Peabody Picture Vocabulary Test, PPVT). The same children were tested at 4 years of age on the Beery Test of Visual-Motor Integration (VMI) as well as on measures of EF and mathematics. The TOSA was created specifically as an assessment for 3-year-olds, allowing the investigation of links among spatial, EF, and mathematical skills earlier than previously possible. Results of a hierarchical regression indicate that EF and spatial skills predict 70% of the variance in mathematics performance without an explicit math test, EF is an important predictor of math performance as prior research suggested, and spatial skills uniquely predict 27% of the variance in mathematics skills. Additional research is needed to understand whether EF is truly malleable and whether EF and spatial skills may be leveraged to support early mathematics skills, especially for lower SES children who are already falling behind in these skill areas by 3 and 4 years of age. These findings indicate that both skills are part of an important foundation for mathematics performance and may represent pathways for improving school readiness for mathematics. Copyright © 2014 Elsevier Inc. All rights reserved.

  3. Why do early mathematics skills predict later reading? The role of mathematical language.

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    Purpura, David J; Logan, Jessica A R; Hassinger-Das, Brenna; Napoli, Amy R

    2017-09-01

    A growing body of evidence indicates that the development of mathematics and literacy skills is highly related. The importance of literacy skills-specifically language-for mathematics development has been well rationalized. However, despite several prominent studies indicating that mathematics skills are highly predictive of literacy development, the reason for this relation is not well understood. The purpose of this study was to identify how and why early mathematics is predictive of early literacy development. Participants included 125 preschool children 3-5 years old (M = 4 years 3 months). Participants were assessed on mathematics, literacy, and cognitive measures in both the fall and spring of their preschool year. Mediation analyses indicated that the relation between early mathematics and literacy skills is mediated by children's mathematical language skills. These findings suggest that, in prior research identifying mathematical performance as a significant predictor of later literacy skills, mathematical performance may have acted only as a proxy measure for more complex language skills such as those assessed on a mathematical language measure. (PsycINFO Database Record (c) 2017 APA, all rights reserved).

  4. Spatial Skill Profile of Mathematics Pre-Service Teachers

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    Putri, R. O. E.

    2018-01-01

    This study is aimed to investigate the spatial intelligence of mathematics pre-service teachers and find the best instructional strategy that facilitates this aspect. Data were collected from 35 mathematics pre-service teachers. The Purdue Spatial Visualization Test (PSVT) was used to identify the spatial skill of mathematics pre-service teachers. Statistical analysis indicate that more than 50% of the participants possessed spatial skill in intermediate level, whereas the other were in high and low level of spatial skill. The result also shows that there is a positive correlation between spatial skill and mathematics ability, especially in geometrical problem solving. High spatial skill students tend to have better mathematical performance compare to those in two other levels. Furthermore, qualitative analysis reveals that most students have difficulty in manipulating geometrical objects mentally. This problem mostly appears in intermediate and low-level spatial skill students. The observation revealed that 3-D geometrical figures is the best method that can overcome the mentally manipulation problem and develop the spatial visualization. Computer application can also be used to improve students’ spatial skill.

  5. Critical Thinking and Problem Solving Skills in Mathematics of Grade-7 Public Secondary Students

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    Emil C. Alcantara

    2017-11-01

    Full Text Available The study aimed to assess the academic performance, critical thinking skills, and problem solving skills in mathematics of Grade-7 students in the five central public secondary schools of Area 2, Division of Batangas, Philippines. This study utilized descriptive method of research. Three hundred forty one (341 students of the public secondary schools out of the total of 2,324 Grade-7 students were selected through systematic random sampling as the subjects of the study. It was found out that the level of performance in Mathematics of the Grade-7 students is proficient. The level of critical thinking skills of students from the different schools is above average as well as their level of problem solving skills. The mathematics performance of the students is positively correlated to their level of critical thinking skills and problem solving skills. Students considered the following learning competencies in the different content areas of Grade-7 Mathematics as difficult to master: solving problems involving sets, describing the development of measurement from the primitive to the present international system of units, finding a solution of an equation or inequality involving one variable, using compass and straightedge to bisect line segments and angles, and analyzing, interpreting accurately and drawing conclusions from graphic and tabular presentations of statistical data.

  6. I. SPATIAL SKILLS, THEIR DEVELOPMENT, AND THEIR LINKS TO MATHEMATICS.

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    Verdine, Brian N; Golinkoff, Roberta Michnick; Hirsh-Pasek, Kathy; Newcombe, Nora S

    2017-03-01

    Understanding the development of spatial skills is important for promoting school readiness and improving overall success in STEM (science, technology, engineering, and mathematics) fields (e.g., Wai, Lubinski, Benbow, & Steiger, 2010). Children use their spatial skills to understand the world, including visualizing how objects fit together, and can practice them via spatial assembly activities (e.g., puzzles or blocks). These skills are incorporated into measures of overall intelligence and have been linked to success in subjects like mathematics (Mix & Cheng, 2012) and science (Pallrand & Seeber, 1984; Pribyl & Bodner, 1987). This monograph sought to answer four questions about early spatial skill development: 1) Can we reliably measure spatial skills in 3- and 4-year-olds?; 2) Do spatial skills measured at 3 predict spatial skills at age 5?; 3) Do preschool spatial skills predict mathematics skills at age 5?; and 4) What factors contribute to individual differences in preschool spatial skills (e.g., SES, gender, fine-motor skills, vocabulary, and executive function)? Longitudinal data generated from a new spatial skill test for 3-year-old children, called the TOSA (Test of Spatial Assembly), show that it is a reliable and valid measure of early spatial skills that provides strong prediction to spatial skills measured with established tests at age 5. New data using this measure finds links between early spatial skill and mathematics, language, and executive function skills. Analyses suggest that preschool spatial experiences may play a central role in children's mathematical skills around the time of school entry. Executive function skills provide an additional unique contribution to predicting mathematical performance. In addition, individual differences, specifically socioeconomic status, are related to spatial and mathematical skill. We conclude by exploring ways of providing rich early spatial experiences to children. © 2017 The Society for Research in Child

  7. Working memory and language: skill-specific or domain-general relations to mathematics?

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    Purpura, David J; Ganley, Colleen M

    2014-06-01

    Children's early mathematics skills develop in a cumulative fashion; foundational skills form a basis for the acquisition of later skills. However, non-mathematical factors such as working memory and language skills have also been linked to mathematical development at a broad level. Unfortunately, little research has been conducted to evaluate the specific relations of these two non-mathematical factors to individual aspects of early mathematics. Thus, the focus of this study was to determine whether working memory and language were related to only individual aspects of early mathematics or related to many components of early mathematics skills. A total of 199 4- to 6-year-old preschool and kindergarten children were assessed on a battery of early mathematics tasks as well as measures of working memory and language. Results indicated that working memory has a specific relation to only a few-but critically important-early mathematics skills and language has a broad relation to nearly all early mathematics skills. Copyright © 2014 Elsevier Inc. All rights reserved.

  8. The Threshold Hypothesis Applied to Spatial Skill and Mathematics

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    Freer, Daniel

    2017-01-01

    This cross-sectional study assessed the relation between spatial skills and mathematics in 854 participants across kindergarten, third grade, and sixth grade. Specifically, the study probed for a threshold for spatial skills when performing mathematics, above which spatial scores and mathematics scores would be significantly less related. This…

  9. Influence of Writing Ability and Computation Skill on Mathematics Writing

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    Powell, Sarah R.; Hebert, Michael A.

    2016-01-01

    Mathematics standards expect students to communicate about mathematics using oral and written methods, and some high-stakes assessments ask students to answer mathematics questions by writing. Assumptions about mathematics communication via writing include (a) students possess writing skill, (b) students can transfer this writing skill to…

  10. Core skills assessment to improve mathematical competency

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    Carr, Michael; Bowe, Brian; Fhloinn, Eabhnat Ní

    2013-12-01

    Many engineering undergraduates begin third-level education with significant deficiencies in their core mathematical skills. Every year, in the Dublin Institute of Technology, a diagnostic test is given to incoming first-year students, consistently revealing problems in basic mathematics. It is difficult to motivate students to address these problems; instead, they struggle through their degree, carrying a serious handicap of poor core mathematical skills, as confirmed by exploratory testing of final year students. In order to improve these skills, a pilot project was set up in which a 'module' in core mathematics was developed. The course material was basic, but 90% or higher was required to pass. Students were allowed to repeat this module throughout the year by completing an automated examination on WebCT populated by a question bank. Subsequent to the success of this pilot with third-year mechanical engineering students, the project was extended to five different engineering programmes, across three different year-groups. Full results and analysis of this project are presented, including responses to interviews carried out with a selection of the students involved.

  11. Mathematics ability and related skills in preschoolers born very preterm.

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    Hasler, Holly M; Akshoomoff, Natacha

    2017-12-12

    Children born very preterm (VPT) are at risk for academic, behavioral, and/or emotional problems. Mathematics is a particular weakness and better understanding of the relationship between preterm birth and early mathematics ability is needed, particularly as early as possible to aid in early intervention. Preschoolers born VPT (n = 58) and those born full term (FT; n = 29) were administered a large battery of measures within 6 months of beginning kindergarten. A multiple-mediation model was utilized to characterize the difference in skills underlying mathematics ability between groups. Children born VPT performed significantly worse than FT-born children on a measure of mathematics ability as well as full-scale IQ, verbal skills, visual-motor integration, phonological awareness, phonological working memory, motor skills, and executive functioning. Mathematics was significantly correlated with verbal skills, visual-motor integration, phonological processing, and motor skills across both groups. When entered into the mediation model, verbal skills, visual-motor integration, and phonological awareness were significant mediators of the group differences. This analysis provides insights into the pre-academic skills that are weak in preschoolers born VPT and their relationship to mathematics. It is important to identify children who will have difficulties as early as possible, particularly for VPT children who are at higher risk for academic difficulties. Therefore, this model may be used in evaluating VPT children for emerging difficulties as well as an indicator that if other weaknesses are found, an assessment of mathematics should be conducted.

  12. Mathematical literacy skills of students' in term of gender differences

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    Lailiyah, Siti

    2017-08-01

    Good mathematical literacy skills will hopefully help maximize the tasks and role of the prospective teacher in activities. Mathematical literacy focus on students' ability to analyze, justify, and communicate ideas effectively, formulate, solve and interpret mathematical problems in a variety of forms and situations. The purpose of this study is to describe the mathematical literacy skills of the prospective teacher in term of gender differences. This research used a qualitative approach with a case study. Subjects of this study were taken from two male students and two female students of the mathematics education prospective teacher who have followed Community Service Program (CSP) in literacy. Data were collected through methods think a loud and interviews. Four prospective teachers were asked to fill mathematical literacy test and video taken during solving this test. Students are required to convey loud what he was thinking when solving problems. After students get the solution, researchers grouped the students' answers and results think aloud. Furthermore, the data are grouped and analyzed according to indicators of mathematical literacy skills. Male students have good of each indicator in mathematical literacy skills (the first indicator to the sixth indicator). Female students have good of mathematical literacy skills (the first indicator, the second indicator, the third indicator, the fourth indicator and the sixth indicator), except for the fifth indicators that are enough.

  13. Elementary Mathematics Teachers' Perceptions and Lived Experiences on Mathematical Communication

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    Kaya, Defne; Aydin, Hasan

    2016-01-01

    Mathematical thinking skills and meaningful mathematical understanding are among the goals of current mathematics education. There is a wide consensus among scholars about the purpose of developing mathematical understanding and higher order thinking skills in students. However, how to develop those skills in classroom settings is an area that…

  14. Students’ Critical Mathematical Thinking Skills and Character:Experiments for Junior High School Students through Realistic Mathematics Education Culture-Based

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    Anderson L. Palinussa

    2013-01-01

    Full Text Available This paper presents the findings of a quasi-experimental with pre-test-post-test design and control group that aims to assess students’ critical mathematical thinking skills and character through realistic mathematics education (RME culture-based. Subjects of this study were 106 junior high school students from two low and medium schools level in Ambon. The instruments of the study are: students’ early math skills test, critical thinking skills mathematical test and perception scale of students’character. Data was analyzed by using t-test and Anova. The study found that: 1 Achievements and enhancement of students’ critical mathematical thinking skills who were treated with by realistic mathematics education is better then students’ skills were treated by conventional mathematics education. The differences are considered to: a overall students, b the level of early math skills, and c schools’ level; 2 Quality of students’ character who were treated by realistic mathematics education is better then students’ character who were treated by conventional mathematics education The differences are considered to: a overall students, b the level of early math skills, and c schools’ level  Keywords: Critical Thinking, Students’ Character, Realistic Mathematics Education Culture-Based DOI: http://dx.doi.org/10.22342/jme.4.1.566.75-94

  15. Scientific Approach to Improve Mathematical Problem Solving Skills Students of Grade V

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    Roheni; Herman, T.; Jupri, A.

    2017-09-01

    This study investigates the skills of elementary school students’ in problem solving through the Scientific Approach. The purpose of this study is to determine mathematical problem solving skills of students by using Scientific Approach is better than mathematical problem solving skills of students by using Direct Instruction. This study is using quasi-experimental method. Subject of this study is students in grade V in one of state elementary school in Cirebon Regency. Instrument that used in this study is mathematical problem solving skills. The result of this study showed that mathematical problem solving skills of students who learn by using Scientific Approach is more significant than using Direct Instruction. Base on result and analysis, the conclusion is that Scientific Approach can improve students’ mathematical problem solving skills.

  16. Role of linguistic skills in fifth-grade mathematics.

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    Kleemans, Tijs; Segers, Eliane; Verhoeven, Ludo

    2018-03-01

    The current study investigated the direct and indirect relations between basic linguistic skills (i.e., phonological skills and grammatical ability) and advanced linguistic skills (i.e., academic vocabulary and verbal reasoning), on the one hand, and fifth-grade mathematics (i.e., arithmetic, geometry, and fractions), on the other, taking working memory and general intelligence into account and controlling for socioeconomic status, age, and gender. The results showed the basic linguistic representations of 167 fifth graders to be indirectly related to their geometric and fraction skills via arithmetic. Furthermore, advanced linguistic skills were found to be directly related to geometry and fractions after controlling for arithmetic. It can be concluded that linguistic skills directly and indirectly relate to mathematical ability in the upper grades of primary education, which highlights the importance of paying attention to such skills in the school curriculum. Copyright © 2017 Elsevier Inc. All rights reserved.

  17. Developing Critical Thinking Skills of Students in Mathematics Learning

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    Firdaus Firdaus

    2015-08-01

    Full Text Available Critical thinking skills should be owned by students. Therefore, schools should be responsible to develop and  evaluate critical thinking skills through teaching and learning process in schools. This study aims to identify the effects of mathematical learning modules based on problem-based learning to critical thinking skills at secondary school students in District of Bone. Assessment of critical thinking skills in mathematical problem solving non-routine includes three parts;  the identification and interpretation of information, information analysis, and evaluate of evidence and arguments. This study involved a total of 68 students grade 12 science state secondary school (SMAN in Bone District of South Sulawesi, Indonesia in academic year 2014-2015. The sample consists of 38 students in the city and 30 rural students. The design of the study was quasi experimental one group pretest-posttest. The data was analysed using the inferential t-test with SPSS 20.0 for windows. The study found that there are effects of the use of mathematical learning module based PBL to enhance the ability of critical thinking skills in mathematics students in all three components, namely, identifying and interpreting information, information analysis, and evaluate of evidence and argument.

  18. Brain stimulation, mathematical, and numerical training: Contribution of core and noncore skills.

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    Looi, C Y; Cohen Kadosh, R

    2016-01-01

    Mathematical abilities that are correlated with various life outcomes vary across individuals. One approach to improve mathematical abilities is by understanding the underlying cognitive functions. Theoretical and experimental evidence suggest that mathematical abilities are subserved by "core" and "noncore" skills. Core skills are commonly regarded as the "innate" capacity to attend to and process numerical information, while noncore skills are those that are important for mathematical cognition, but are not exclusive to the mathematical domain such as executive functions, spatial skills, and attention. In recent years, mathematical training has been combined with the application of noninvasive brain stimulation to further enhance training outcomes. However, the development of more strategic training paradigms is hindered by the lack of understanding on the contributory nature of core and noncore skills and their neural underpinnings. In the current review, we will examine the effects of brain stimulation with focus on transcranial electrical stimulation on core and noncore skills, and its impact on mathematical and numerical training. We will conclude with a discussion on the theoretical and experimental implications of these studies and directions for further research. © 2016 Elsevier B.V. All rights reserved.

  19. Gender: Its relation to Mathematical Creative Thinking Skill

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    Permatasari, H. R.; Wahyudin, W.

    2017-09-01

    Mathematical creative thinking skill is one of the most important capabilities in the present century, both for men and women. One of the current issues is about gender and how gender mainstreaming can be realized optimally. The purpose of this study is to determine the comparison of the mathematical creative thinking skill increasing between male and female students after the application of Team Games Tournament (TGT) learning. This research was conducted at 28 students in the 4th grade of an elementary school in Bandung City. The research method used is quasi experiment because it is aimed to test wether there are differences in mathematical creative thinking skill improving between male and female students after being treatment in the form of learnig with TGT. The result of this research is that there is no difference in mathematical creative thinking skill improving between male and female students after the application of TGT learning. It is influenced by some factors such as how the teacher treats male and female with the same treatment in learning process. Recommendation of this research that can be done further research about this topic more deeply. Beside that, the teacher especially in elementary school can use the TGT learning application to reduce the gap between male and female students during the learning process.

  20. The Prevalence of Mathematical Anxiety in a Business School: A Comparative Study Across Subject Areas

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    Howard, A; Warwick, J

    2016-01-01

    Mathematical anxiety is a phenomenon linked to poor attainment in mathematics and restricted development of mathematical skills among those who are afflicted by it. Unfortunately most undergraduate courses in business related areas require the further study of mathematics to enable effective business decision making and students who suffer from mathematical anxiety are placed at risk of underperformance or failure in such quantitative modules. This paper summarizes the results of ...

  1. Critical Thinking Skills Of Junior High School Female Students With High Mathematical Skills In Solving Contextual And Formal Mathematical Problems

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    Ismail; Suwarsono, St.; Lukito, A.

    2018-01-01

    Critical thinking is one of the most important skills of the 21st century in addition to other learning skills such as creative thinking, communication skills and collaborative skills. This is what makes researchers feel the need to conduct research on critical thinking skills in junior high school students. The purpose of this study is to describe the critical thinking skills of junior high school female students with high mathematical skills in solving contextual and formal mathematical problems. To achieve this is used qualitative research. The subject of the study was a female student of eight grade junior high school. The students’ critical thinking skills are derived from in-depth problem-based interviews using interview guidelines. Interviews conducted in this study are problem-based interviews, which are done by the subject given a written assignment and given time to complete. The results show that critical thinking skills of female high school students with high math skills are as follows: In solving the problem at the stage of understanding the problem used interpretation skills with sub-indicators: categorization, decode, and clarify meaning. At the planning stage of the problem-solving strategy is used analytical skills with sub-indicators: idea checking, argument identification and argument analysis and evaluation skills with sub indicators: assessing the argument. In the implementation phase of problem solving, inference skills are used with subindicators: drawing conclusions, and problem solving and explanatory skills with sub-indicators: problem presentation, justification procedures, and argument articulation. At the re-checking stage all steps have been employed self-regulatory skills with sub-indicators: self-correction and selfstudy.

  2. The Interaction of Procedural Skill, Conceptual Understanding and Working Memory in Early Mathematics Achievement

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    Camilla Gilmore

    2017-12-01

    Full Text Available Large individual differences in children’s mathematics achievement are observed from the start of schooling. Previous research has identified three cognitive skills that are independent predictors of mathematics achievement: procedural skill, conceptual understanding and working memory. However, most studies have only tested independent effects of these factors and failed to consider moderating effects. We explored the procedural skill, conceptual understanding and working memory capacity of 75 children aged 5 to 6 years as well as their overall mathematical achievement. We found that, not only were all three skills independently associated with mathematics achievement, but there was also a significant interaction between them. We found that levels of conceptual understanding and working memory moderated the relationship between procedural skill and mathematics achievement such that there was a greater benefit of good procedural skill when associated with good conceptual understanding and working memory. Cluster analysis also revealed that children with equivalent levels of overall mathematical achievement had differing strengths and weaknesses across these skills. This highlights the importance of considering children’s skill profile, rather than simply their overall achievement.

  3. The Increase of Critical Thinking Skills through Mathematical Investigation Approach

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    Sumarna, N.; Wahyudin; Herman, T.

    2017-02-01

    Some research findings on critical thinking skills of prospective elementary teachers, showed a response that is not optimal. On the other hand, critical thinking skills will lead a student in the process of analysis, evaluation and synthesis in solving a mathematical problem. This study attempts to perform an alternative solution with a focus on mathematics learning conditions that is held in the lecture room through mathematical investigation approach. This research method was Quasi-Experimental design with pre-test post-test design. Data analysis using a mixed method with Embedded design. Subjects were regular students enrolled in 2014 at the study program of education of primary school teachers. The number of research subjects were 111 students consisting of 56 students in the experimental group and 55 students in the control group. The results of the study showed that (1) there is a significant difference in the improvement of critical thinking ability of students who receive learning through mathematical investigation approach when compared with students studying through expository approach, and (2) there is no interaction effect between prior knowledge of mathematics and learning factors (mathematical investigation and expository) to increase of critical thinking skills of students.

  4. Helping Students Acquire Thinking Skills through Mathematics Instruction.

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    Van Devender, Evelyn M.

    1992-01-01

    Describes three activities that the teacher can employ to help students develop thinking skills through mathematics instruction: (1) memorization using the technique of chunking; (2) higher order thinking with magic squares; and (3) predicting games. Identifies eight facets of the teacher's role in promoting thinking skills. (MDH)

  5. Developmental Relations Among Motor and Cognitive Processes and Mathematics Skills.

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    Kim, Helyn; Duran, Chelsea A K; Cameron, Claire E; Grissmer, David

    2018-03-01

    This study explored transactional associations among visuomotor integration, attention, fine motor coordination, and mathematics skills in a diverse sample of one hundred thirty-five 5-year-olds (kindergarteners) and one hundred nineteen 6-year-olds (first graders) in the United States who were followed over the course of 2 school years. Associations were dynamic, with more reciprocal transactions occurring in kindergarten than in the later grades. Specifically, visuomotor integration and mathematics exhibited ongoing reciprocity in kindergarten and first grade, attention contributed to mathematics in kindergarten and first grade, mathematics contributed to attention across the kindergarten year only, and fine motor coordination contributed to mathematics indirectly, through visuomotor integration, across kindergarten and first grade. Implications of examining the hierarchical interrelations among processes underlying the development of children's mathematics skills are discussed. © 2017 The Authors. Child Development © 2017 Society for Research in Child Development, Inc.

  6. Elementary General and Special Education Teachers' Mathematics Skills and Efficacy

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    Flores, Margaret M.; Thornton, Jennifer; Franklin, Toni M.; Hinton, Vanessa M.; Strozier, Shaunita

    2014-01-01

    The purpose of this study was to extend the literature regarding elementary teachers' beliefs about mathematics instruction to include special education teachers by surveying special education and general education teachers' mathematics teaching efficacy. In addition, the researchers' surveyed teachers' mathematics skills. The participants (n =…

  7. Analysis mathematical literacy skills in terms of the students’ metacognition on PISA-CPS model

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    Ovan; Waluya, S. B.; Nugroho, S. E.

    2018-03-01

    This research was aimed to know the effectiveness of PISA-CPS model and desceibe the mathematical literacy skills (KLM) in terms of the students’ metacognition. This study used Mixed Methods approaches with the concurrent embedded desaign. The technique of data analysis on quantitative research done analysis of lesson plan, prerequisite test, test hypotesis 1 and hypotesis test. While qualitative research done data reduction, data presentation, and drawing conclution and data verification. The subject of this study was the students of Grade Eight (VIII) of SMP Islam Sultan Agung 4 Semarang, Central Java. The writer analyzed the data with quantitative and qualitative approaches based on the metacognition of the students in low, medium and high groups. Subsequently, taken the mathematical literacy skills (KLM) from students’ metacognition in low, medium, and high . The results of the study showed that the PISA-CPS model was complete and the students’ mathematical literacy skills in terms of the students’ metacognition taught by the PISA-CPS model was higher than the expository learning. metacognitions’ students classified low hadmathematical literacy skills (KLM) less good, metacognitions’ students classified medium had mathematical literacy skills (KLM) good enough, metacognitions’ students classified high had mathematical literacy skills (KLM) very good. Based onresult analysis got conclusion that the PISA-CPS model was effective toward the students’ mathematical literacy skills (KLM). To increase the students’ mathematical literacy skills (KLM), the teachers need to provide reinforcements in the form of the exercises so that the student’s mathematical literacy was achieved at level 5 and level 6.

  8. Enhancing students’ mathematical problem posing skill through writing in performance tasks strategy

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    Kadir; Adelina, R.; Fatma, M.

    2018-01-01

    Many researchers have studied the Writing in Performance Task (WiPT) strategy in learning, but only a few paid attention on its relation to the problem-posing skill in mathematics. The problem-posing skill in mathematics covers problem reformulation, reconstruction, and imitation. The purpose of the present study was to examine the effect of WiPT strategy on students’ mathematical problem-posing skill. The research was conducted at a Public Junior Secondary School in Tangerang Selatan. It used a quasi-experimental method with randomized control group post-test. The samples were 64 students consists of 32 students of the experiment group and 32 students of the control. A cluster random sampling technique was used for sampling. The research data were obtained by testing. The research shows that the problem-posing skill of students taught by WiPT strategy is higher than students taught by a conventional strategy. The research concludes that the WiPT strategy is more effective in enhancing the students’ mathematical problem-posing skill compared to the conventional strategy.

  9. The Prevalence of Mathematical Anxiety in a Business School: A Comparative Study across Subject Areas

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    Anna Howard

    2017-01-01

    Full Text Available Mathematical anxiety is a phenomenon linked to poor attainment in mathematics and restricted development of mathematical skills among those who are afflicted by it. Unfortunately most undergraduate courses in business related areas require the further study of mathematics to enable effective business decision making and students who suffer from mathematical anxiety are placed at risk of underperformance or failure in such quantitative modules. This paper summarizes the results of a survey (n = 330 of students joining a university business school with a view to ascertaining the degree of mathematical anxiety exhibited by incoming students. Results of the survey show no significant differences in anxiety attributable to age or gender but significant differences attributable to level of study and subject area. Implications of the findings for a redesigned teaching approach are discussed drawing on suggestions from the literature surrounding mathematical anxiety.

  10. The Study of the Relationship between Mother's Studies with Study Skills and Mathematics Performance of Students

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    Behnoush Taheri

    2015-07-01

    Full Text Available Certainly teaching study skills of mathematics has special importance and plays important role in mathematics performance of students. As mothers spend more times with self-children then they can be effect on study and their mathematics performance. Present research implements to study of the relationship between mothers' studies with study skills and mathematics performance of their children. Population of this research is all girl students of first grade in high school at zone one of Tehran and sample is 97 people. For collecting data of this research through standard questionnaire of mathematics studies skills is used for measuring of study skill of mathematics and questions for studying information related to mothers' studies and a math exam for getting information of mathematics performance of students are used. The results indicated that there is not significant relationship between mothers' studies and study skill of mathematics among students. Also, it is indicated that there is positive significant relationship between mothers' studies and mathematic performance of students.

  11. How Mathematics Teachers Develop Their Pupils' Self-Regulated Learning Skills

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    Marchis, Iuliana

    2011-01-01

    Self-regulated learning skills are important in mathematical problem solving. The aim of the paper is to present a research on how mathematics teachers guide their pupils' mathematical problem-solving activities in order to increase self-regulation. 62 teachers have filled in a questionnaire developed for this research. The results are show that…

  12. A Research on Mathematical Thinking Skills: Mathematical Thinking Skills of Athletes in Individual and Team Sports

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    Onal, Halil; Inan, Mehmet; Bozkurt, Sinan

    2017-01-01

    The aim of this research is to examine the mathematical thinking skills of licensed athletes engaged in individual and team sports. The research is designed as a survey model. The sample of the research is composed of 59 female and 170 male licensed athletes (n = 229) and (aged 14 to 52) licensed who do the sports of shooting, billiards, archery,…

  13. The Effects of Computer Games on the Achievement of Basic Mathematical Skills

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    Sayan, Hamiyet

    2015-01-01

    This study aims to analyze the relationship between playing computer games and learning basic mathematics skills. It shows the role computer games play in the learning and achievement of basic mathematical skills by students. Nowadays it is clear that individuals, especially young persons are very fond of computer and computer games. Since…

  14. Interpreting Mathematics Scores on the New Jersey College Basic Skills Placement Test.

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    Dass, Jane; Pine, Charles

    The New Jersey College Basic Skills Placement Test (NJCBSPT) is designed to measure certain basic language and mathematics skills of students entering New Jersey colleges. The primary purpose of the two mathematics sections is to determine whether students are prepared to begin certain college-level work without a handicap in computation or…

  15. Have Basic Mathematical Skills Grown Obsolete in the Computer Age: Assessing Basic Mathematical Skills and Forecasting Performance in a Business Statistics Course

    Science.gov (United States)

    Noser, Thomas C.; Tanner, John R.; Shah, Situl

    2008-01-01

    The purpose of this study was to measure the comprehension of basic mathematical skills of students enrolled in statistics classes at a large regional university, and to determine if the scores earned on a basic math skills test are useful in forecasting student performance in these statistics classes, and to determine if students' basic math…

  16. An Analysis of the Reasoning Skills of Pre-Service Teachers in the Context of Mathematical Thinking

    Science.gov (United States)

    Yavuz Mumcu, Hayal; Aktürk, Tolga

    2017-01-01

    The aim of this study is to address and analyse pre-service teachers' mathematical reasoning skills in relation to mathematical thinking processes. For these purposes, pre-service teachers' mathematical reasoning skills namely generalising/abstraction/modelling, ratiocination, development and creative thinking skills and the relationships among…

  17. Mathematics in Finance and Economics: Importance of Teaching Higher Order Mathematical Thinking Skills in Finance

    Science.gov (United States)

    Tularam, Gurudeo Anand

    2013-01-01

    This paper addresses the importance of teaching mathematics in business and finance schools of tertiary institutions of Australia. The paper explores the nature of thinking and reasoning required for advancement financial or economic studies involves the use of higher order thinking and creativity skills (HOTS) for teaching in mathematics classes.…

  18. Reading skills and mathematics | Bohlmann | South African Journal ...

    African Journals Online (AJOL)

    This article considers the relationship between poorly-developed reading skills and academic performance in mathematics. It discusses ... South African Journal of Higher Education Vol.16(3) 2002: 196-206 ... AJOL African Journals Online.

  19. Improving University Students' Perception of Mathematics and Mathematics Ability

    Directory of Open Access Journals (Sweden)

    Shelly L. Wismath

    2015-01-01

    Full Text Available Although mathematical and quantitative reasoning skills are an essential part of adult life in our society, many students arrive at post-secondary education without such skills. Taking a standard mathematics course such as calculus may do little to improve those skills. Using a modification of the Tapia & Marsh questionnaire, we surveyed 62 students taking a broad quantitative reasoning course designed to develop quantitative skills, with respect to two broad attitudinal areas: students’ perception of their own ability, confidence and anxiety, and their perception of the value of mathematics in their studies and their lives. Pre- to post-course comparisons were done by both paired t-tests and Wilcoxon signed-rank tests. Our results showed a significant increase in confidence and decrease in anxiety, while perception of the value of mathematics was already high and changed little by the end of the course.

  20. The Investigation of Elementary Mathematics Teacher Candidates' Problem Solving Skills According to Various Variables

    Science.gov (United States)

    Kaya, Deniz; Izgiol, Dilek; Kesan, Cenk

    2014-01-01

    The aim was to determine elementary mathematics teacher candidates' problem solving skills and analyze problem solving skills according to various variables. The data were obtained from total 306 different grade teacher candidates receiving education in Department of Elementary Mathematics Education, Buca Faculty of Education, Dokuz Eylul…

  1. Promoting students’ mathematical problem-solving skills through 7e learning cycle and hypnoteaching model

    Science.gov (United States)

    Saleh, H.; Suryadi, D.; Dahlan, J. A.

    2018-01-01

    The aim of this research was to find out whether 7E learning cycle under hypnoteaching model can enhance students’ mathematical problem-solving skill. This research was quasi-experimental study. The design of this study was pretest-posttest control group design. There were two groups of sample used in the study. The experimental group was given 7E learning cycle under hypnoteaching model, while the control group was given conventional model. The population of this study was the student of mathematics education program at one university in Tangerang. The statistical analysis used to test the hypothesis of this study were t-test and Mann-Whitney U. The result of this study show that: (1) The students’ achievement of mathematical problem solving skill who obtained 7E learning cycle under hypnoteaching model are higher than the students who obtained conventional model; (2) There are differences in the students’ enhancement of mathematical problem-solving skill based on students’ prior mathematical knowledge (PMK) category (high, middle, and low).

  2. What's Working: Program Factors Influencing California Community College Basic Skills Mathematics Students' Advancement to Transfer Level

    Science.gov (United States)

    Fiero, Diane M.

    2013-01-01

    Purpose: The purpose of this study was to determine which basic skills program factors were exhibited by successful basic skills programs that helped students advance to transfer-level mathematics. This study specifically examined California community college basic skills programs that assist students who place in mathematics courses 2 levels…

  3. Increasing Mathematical Computation Skills for Students with Physical and Health Disabilities

    Science.gov (United States)

    Webb, Paula

    2017-01-01

    Students with physical and health disabilities struggle with basic mathematical concepts. The purpose of this research study was to increase the students' mathematical computation skills through implementing new strategies and/or methods. The strategies implemented with the students was utilizing the ten-frame tiles and technology with the purpose…

  4. Developing Students' Mathematical Skills Involving Order of Operations

    Science.gov (United States)

    Ali Rahman, Ernna Sukinnah; Shahrill, Masitah; Abbas, Nor Arifahwati; Tan, Abby

    2017-01-01

    This small-scale action research study examines the students' ability in using their mathematical skills when performing order of operations in numerical expressions. In this study, the "hierarchy-of-operators triangle" by Ameis (2011) was introduced as an alternative BODMAS approach to help students in gaining a better understanding…

  5. Analysis of anatomic variability in children with low mathematical skills

    Science.gov (United States)

    Han, Zhaoying; Fuchs, Lynn; Davis, Nikki; Cannistraci, Christopher J.; Anderson, Adam W.; Gore, John C.; Dawant, Benoit M.

    2008-03-01

    Mathematical difficulty affects approximately 5-9% of the population. Studies on individuals with dyscalculia, a neurologically based math disorder, provide important insight into the neural correlates of mathematical ability. For example, cognitive theories, neuropsychological studies, and functional neuroimaging studies in individuals with dyscalculia suggest that the bilateral parietal lobes and intraparietal sulcus are central to mathematical performance. The purpose of the present study was to investigate morphological differences in a group of third grade children with poor math skills. We compare population averages of children with low math skill (MD) to gender and age matched controls with average math ability. Anatomical data were gathered with high resolution MRI and four different population averaging methods were used to study the effect of the normalization technique on the results. Statistical results based on the deformation fields between the two groups show anatomical differences in the bilateral parietal lobes, right frontal lobe, and left occipital/parietal lobe.

  6. Evaluation of Mathematical Game Design Skills of Pre-Service Classroom Teachers

    Science.gov (United States)

    Pilten, Pusat; Pilten, Gülhiz; Divrik, Ramazan; Divrik, Fatma

    2017-01-01

    The purpose of the research is to evaluate the games prepared by pre-service classroom teachers within the scope of "Mathematics Teaching 1" and "Mathematics Teaching 2" courses, which are included in the undergraduate classroom teaching programs in Turkey, and to make predictions on the game design skills of pre-service…

  7. Improving the basic skills of teaching mathematics through learning with search-solve-create-share strategy

    Science.gov (United States)

    Rahayu, D. V.; Kusumah, Y. S.; Darhim

    2018-05-01

    This study examined to see the improvement of prospective teachers’ basic skills of teaching mathematics through search-solve-create-share learning strategy based on overall and Mathematical Prior Knowledge (MPK) and interaction of both. Quasi experiments with the design of this experimental-non-equivalent control group design involved 67 students at the mathematics program of STKIP Garut. The instrument used in this study included pre-test and post-test. The result of this study showed that: (1) The improvement and achievement of the basic skills of teaching mathematics of the prospective teachers who get the learning of search-solve-create-share strategy is better than the improvement and achievement of the prospective teachers who get the conventional learning as a whole and based on MPK; (2) There is no interaction between the learning used and MPK on improving and achieving basic skills of teaching mathematics.

  8. Number Line Estimation Predicts Mathematical Skills: Difference in Grades 2 and 4.

    Science.gov (United States)

    Zhu, Meixia; Cai, Dan; Leung, Ada W S

    2017-01-01

    Studies have shown that number line estimation is important for learning. However, it is yet unclear if number line estimation predicts different mathematical skills in different grades after controlling for age, non-verbal cognitive ability, attention, and working memory. The purpose of this study was to examine the role of number line estimation on two mathematical skills (calculation fluency and math problem-solving) in grade 2 and grade 4. One hundred and forty-eight children from Shanghai, China were assessed on measures of number line estimation, non-verbal cognitive ability (non-verbal matrices), working memory (N-back), attention (expressive attention), and mathematical skills (calculation fluency and math problem-solving). The results showed that in grade 2, number line estimation correlated significantly with calculation fluency ( r = -0.27, p problem-solving ( r = -0.52, p problem-solving ( r = -0.38, p problem-solving (12.0%) and calculation fluency (4.0%) after controlling for the effects of age, non-verbal cognitive ability, attention, and working memory. In grade 4, number line estimation accounted for unique variance in math problem-solving (9.0%) but not in calculation fluency. These findings suggested that number line estimation had an important role in math problem-solving for both grades 2 and 4 children and in calculation fluency for grade 2 children. We concluded that number line estimation could be a useful indicator for teachers to identify and improve children's mathematical skills.

  9. A Mathematical Program to Develop the Skills of Thinking of Children

    Directory of Open Access Journals (Sweden)

    Magda M. Saleh

    2009-10-01

    Full Text Available The importance of this study emerges from the importance of the points it discusses as it attempts to study the effectiveness of the suggested program of mathematics that develop the thinking skill of the children in preschool age. Accordingly, it comes from the attempt to teach the children the skill of thinking as one of the important and required skills for the children to accommodate with the surrounded environment and to help them develop and grow completely and to accommodate with themselves and their society. The purpose of this study is, thus, summarized in the answering of the following questions: 1- How can we create a program that uses mathematical activities and that contribute in the development of thinking skill of the preschool child? 2- To what extent is that program effective to develop the skills of thinking of the preschool child? The research sample is composed of 35 children for the experimental group and the same number for the controller group from the KJ2 children. The results of the research showed the effectiveness of the suggested program and its obvious contribution in the development of the thinking skills for the preschool children in a more effective way than the traditional methods used.

  10. Rethinking Teacher Preparation: Conceptualizing Skills and Knowledge of Novice Teachers of Secondary Mathematics

    Science.gov (United States)

    Cummings, Margarita Borelli

    2010-01-01

    This dissertation examines the extent to which novice secondary mathematics teachers (licensed and currently teaching in Utah) perceive they are prepared to do the work of teaching secondary mathematics. It first examined if novice secondary mathematics teachers' perceptions of their knowledge and skills of doing their work fell into four…

  11. The relationship between mathematical problem-solving skills and self-regulated learning through homework behaviours, motivation, and metacognition

    Science.gov (United States)

    Çiğdem Özcan, Zeynep

    2016-04-01

    Studies highlight that using appropriate strategies during problem solving is important to improve problem-solving skills and draw attention to the fact that using these skills is an important part of students' self-regulated learning ability. Studies on this matter view the self-regulated learning ability as key to improving problem-solving skills. The aim of this study is to investigate the relationship between mathematical problem-solving skills and the three dimensions of self-regulated learning (motivation, metacognition, and behaviour), and whether this relationship is of a predictive nature. The sample of this study consists of 323 students from two public secondary schools in Istanbul. In this study, the mathematics homework behaviour scale was administered to measure students' homework behaviours. For metacognition measurements, the mathematics metacognition skills test for students was administered to measure offline mathematical metacognitive skills, and the metacognitive experience scale was used to measure the online mathematical metacognitive experience. The internal and external motivational scales used in the Programme for International Student Assessment (PISA) test were administered to measure motivation. A hierarchic regression analysis was conducted to determine the relationship between the dependent and independent variables in the study. Based on the findings, a model was formed in which 24% of the total variance in students' mathematical problem-solving skills is explained by the three sub-dimensions of the self-regulated learning model: internal motivation (13%), willingness to do homework (7%), and post-problem retrospective metacognitive experience (4%).

  12. A Hybrid Model of Mathematics Support for Science Students Emphasizing Basic Skills and Discipline Relevance

    Science.gov (United States)

    Jackson, Deborah C.; Johnson, Elizabeth D.

    2013-01-01

    The problem of students entering university lacking basic mathematical skills is a critical issue in the Australian higher-education sector and relevant globally. The Maths Skills programme at La Trobe University has been developed to address under preparation in the first-year science cohort in the absence of an institutional mathematics support…

  13. Improving mathematical problem solving skills through visual media

    Science.gov (United States)

    Widodo, S. A.; Darhim; Ikhwanudin, T.

    2018-01-01

    The purpose of this article was to find out the enhancement of students’ mathematical problem solving by using visual learning media. The ability to solve mathematical problems is the ability possessed by students to solve problems encountered, one of the problem-solving model of Polya. This preliminary study was not to make a model, but it only took a conceptual approach by comparing the various literature of problem-solving skills by linking visual learning media. The results of the study indicated that the use of learning media had not been appropriated so that the ability to solve mathematical problems was not optimal. The inappropriateness of media use was due to the instructional media that was not adapted to the characteristics of the learners. Suggestions that can be given is the need to develop visual media to increase the ability to solve problems.

  14. Using the 5E Learning Cycle with Metacognitive Technique to Enhance Students’ Mathematical Critical Thinking Skills

    Directory of Open Access Journals (Sweden)

    Runisah Runisah

    2017-02-01

    Full Text Available This study aims to describe enhancement and achievement of mathematical critical thinking skills of students who received the 5E Learning Cycle with Metacognitive technique, the 5E Learning Cycle, and conventional learning. This study use experimental method with pretest-posttest control group design. Population are junior high school students in Indramayu city, Indonesia. Sample are three classes of eighth grade students from high level school and three classes from medium level school. The study reveal that in terms of overall, mathematical critical thinking skills enhancement and achievement of students who received the 5E Learning Cycle with Metacognitive technique is better than students who received the 5E Learning Cycle and conventional learning. Mathematical critical thinking skills of students who received the 5E Learning Cycle is better than students who received conventional learning. There is no interaction effect between learning model and school level toward enhancement and achievement of students’ mathematical critical thinking skills.

  15. An Early Mathematical Patterning Assessment: identifying young Australian Indigenous children's patterning skills

    Science.gov (United States)

    Papic, Marina

    2015-12-01

    This paper presents an Early Mathematical Patterning Assessment (EMPA) tool that provides early childhood educators with a valuable opportunity to identify young children's mathematical thinking and patterning skills through a series of hands-on and drawing tasks. EMPA was administered through one-to-one assessment interviews to children aged 4 to 5 years in the year prior to formal school. Two hundred and seventeen assessments indicated that the young low socioeconomic and predominantly Australian Indigenous children in the study group had varied patterning and counting skills. Three percent of the study group was able to consistently copy and draw an ABABAB pattern made with coloured blocks. Fifty percent could count to six by ones and count out six items with 4 % of the total group able to identify six items presented in regular formations without counting. The integration of patterning into early mathematics learning is critical to the abstraction of mathematical ideas and relationships and to the development of mathematical reasoning in young children. By using the insights into the children's thinking that the EMPA tool provides, early childhood educators can better inform mathematics teaching and learning and so help close the persistent gap in numeracy between Indigenous and non-Indigenous children.

  16. Contributions of Motivation, Early Numeracy Skills, and Executive Functioning to Mathematical Performance. A Longitudinal Study.

    Science.gov (United States)

    Mercader, Jessica; Miranda, Ana; Presentación, M Jesús; Siegenthaler, Rebeca; Rosel, Jesús F

    2017-01-01

    The main goal of this longitudinal study is to examine the power of different variables and its dynamic interactions in predicting mathematical performance. The model proposed in this study includes indicators of motivational constructs (learning motivation and attributions), executive functioning (inhibition and working memory), and early numeracy skills (logical operations, counting, and magnitude comparison abilities), assessed during kindergarten, and mathematical performance in the second year of Primary Education. The sample consisted of 180 subjects assessed in two moments (5-6 and 7-8 years old). The results showed an indirect effect of initial motivation on later mathematical performance. Executive functioning and early numeracy skills mediated the effect of motivation on later mathematic achievement. Practical implications of these findings for mathematics education are discussed.

  17. A Meta-Analysis of Mathematics and Working Memory: Moderating Effects of Working Memory Domain, Type of Mathematics Skill, and Sample Characteristics

    Science.gov (United States)

    Peng, Peng; Namkung, Jessica; Barnes, Marcia; Sun, Congying

    2016-01-01

    The purpose of this meta-analysis was to determine the relation between mathematics and working memory (WM) and to identify possible moderators of this relation including domains of WM, types of mathematics skills, and sample type. A meta-analysis of 110 studies with 829 effect sizes found a significant medium correlation of mathematics and WM, r…

  18. Students' Critical Mathematical Thinking Skills and Character: Experiments for Junior High School Students through Realistic Mathematics Education Culture-Based

    Science.gov (United States)

    Palinussa, Anderson L.

    2013-01-01

    This paper presents the findings of a quasi-experimental with pre-test-post-test design and control group that aims to assess students' critical mathematical thinking skills and character through realistic mathematics education (RME) culture-based. Subjects of this study were 106 junior high school students from two low and medium schools level in…

  19. Number Line Estimation Predicts Mathematical Skills: Difference in Grades 2 and 4

    Directory of Open Access Journals (Sweden)

    Meixia Zhu

    2017-09-01

    Full Text Available Studies have shown that number line estimation is important for learning. However, it is yet unclear if number line estimation predicts different mathematical skills in different grades after controlling for age, non-verbal cognitive ability, attention, and working memory. The purpose of this study was to examine the role of number line estimation on two mathematical skills (calculation fluency and math problem-solving in grade 2 and grade 4. One hundred and forty-eight children from Shanghai, China were assessed on measures of number line estimation, non-verbal cognitive ability (non-verbal matrices, working memory (N-back, attention (expressive attention, and mathematical skills (calculation fluency and math problem-solving. The results showed that in grade 2, number line estimation correlated significantly with calculation fluency (r = -0.27, p < 0.05 and math problem-solving (r = -0.52, p < 0.01. In grade 4, number line estimation correlated significantly with math problem-solving (r = -0.38, p < 0.01, but not with calculation fluency. Regression analyses indicated that in grade 2, number line estimation accounted for unique variance in math problem-solving (12.0% and calculation fluency (4.0% after controlling for the effects of age, non-verbal cognitive ability, attention, and working memory. In grade 4, number line estimation accounted for unique variance in math problem-solving (9.0% but not in calculation fluency. These findings suggested that number line estimation had an important role in math problem-solving for both grades 2 and 4 children and in calculation fluency for grade 2 children. We concluded that number line estimation could be a useful indicator for teachers to identify and improve children’s mathematical skills.

  20. Contributions of Motivation, Early Numeracy Skills, and Executive Functioning to Mathematical Performance. A Longitudinal Study

    Directory of Open Access Journals (Sweden)

    Jessica Mercader

    2018-01-01

    Full Text Available The main goal of this longitudinal study is to examine the power of different variables and its dynamic interactions in predicting mathematical performance. The model proposed in this study includes indicators of motivational constructs (learning motivation and attributions, executive functioning (inhibition and working memory, and early numeracy skills (logical operations, counting, and magnitude comparison abilities, assessed during kindergarten, and mathematical performance in the second year of Primary Education. The sample consisted of 180 subjects assessed in two moments (5–6 and 7–8 years old. The results showed an indirect effect of initial motivation on later mathematical performance. Executive functioning and early numeracy skills mediated the effect of motivation on later mathematic achievement. Practical implications of these findings for mathematics education are discussed.

  1. Development of Mathematics Learning Strategy Module, Based on Higher Order Thinking Skill (Hots) To Improve Mathematic Communication And Self Efficacy On Students Mathematics Department

    Science.gov (United States)

    Andriani, Ade; Dewi, Izwita; Halomoan, Budi

    2018-03-01

    In general, this research is conducted to improve the quality of lectures on mathematics learning strategy in Mathematics Department. The specific objective of this research is to develop learning instrument of mathematics learning strategy based on Higher Order Thinking Skill (HOTS) that can be used to improve mathematical communication and self efficacy of mathematics education students. The type of research is development research (Research & Development), where this research aims to develop a new product or improve the product that has been made. This development research refers to the four-D Model, which consists of four stages: defining, designing, developing, and disseminating. The instrument of this research is the validation sheet and the student response sheet of the instrument.

  2. Mathematical Knowledge and Skills Expected by Higher Education in Engineering and the Social Sciences: Implications for High School Mathematics Curriculum

    Science.gov (United States)

    Basaran, Mehmet; Özalp, Gülümser; Kalender, Ilker; Alacaci, Cengiz

    2015-01-01

    One important function of school mathematics curriculum is to prepare high school students with the knowledge and skills needed for university education. Identifying them empirically will help making sound decisions about the contents of high school mathematics curriculum. It will also help students to make informed choices in course selection at…

  3. Investigating Lebanese Grade Seven Biology Teachers Mathematical Knowledge and Skills: A Case Study

    Science.gov (United States)

    Raad, Nawal Abou; Chatila, Hanadi

    2016-01-01

    This paper investigates Lebanese grade 7 biology teachers' mathematical knowledge and skills, by exploring how they explain a visual representation in an activity depending on the mathematical concept "Function". Twenty Lebanese in-service biology teachers participated in the study, and were interviewed about their explanation for the…

  4. The Challenge of Teaching Quantitative Skills to Students with Limited Mathematical Background.

    Science.gov (United States)

    Anosike, Nnamdi

    There is a myth in the African American community that only a few students are bright enough to effectively learn quantitative skills, and many African American students attend college with the assumption that they are not good at mathematics and as a result cannot choose majors that require the mastery of quantitative skills. African American…

  5. Critical Thinking Skills of an Eighth Grade Male Student with High Mathematical Ability in Solving Problem

    Science.gov (United States)

    Ismail

    2018-01-01

    This study aims to describe student’s critical thinking skill of grade VIII in solving mathematical problem. A qualitative research was conducted to a male student with high mathematical ability. Student’s critical thinking skill was obtained from a depth task-based interview. The result show that male student’s critical thinking skill of the student as follows. In understanding the problem, the student did categorization, significance decoding, and meaning clarification. In devising a plan he examined his ideas, detected his argument, analyzed his argument and evaluated his argument. During the implementation phase, the skill that appeared were analyzing of the argument and inference skill such as drawing conclusion, deliver alternative thinking, and problem solving skills. At last, in rechecking all the measures, they did self-correcting and self-examination.

  6. Content Area Literacy in the Mathematics Classroom

    Science.gov (United States)

    Armstrong, Abbigail; Ming, Kavin; Helf, Shawnna

    2018-01-01

    Content area literacy has an important role in helping students understand content in specific disciplines, such as mathematics. Although the strategies are not unique to each individual content area, they are often adapted for use in a specific discipline. For example, mathematicians use mathematical language to make sense of new ideas and…

  7. Effects of Reading Skills on Students’ Performance in Science and Mathematics in Public and Private Secondary Schools

    Directory of Open Access Journals (Sweden)

    Ombra A. Imam

    2016-05-01

    Full Text Available In the Philippine education system, reading, mathematics, and science formed part of the core areas of basic education curriculum. For the last decade, the quality of Philippine education was put into a big question due to poor performance of students in mathematics and science tests both local and abroad. The initial result of current efforts of the government by adopting K-12 curriculum didn’t do much to change the status quo. The purpose of this study is to determine the reading predictors of students’ performance in Mathematics and Science and identify its effects to such performance. A total of 660 freshmen students from public and private high schools in Cotabato City, Philippines were taken as sample. A validated and reliable 150-item test in reading comprehension skills, mathematics and science was used to get primary data to perform correlation and regression analysis. Findings showed that only making inference and getting main idea were predictors of mathematics performance of students in public school and private schools, respectively.  Data analysis also revealed that two reading skills such as noting details and making inference had an influence on science performance of students in public school while skills in getting main idea and drawing conclusion influenced science performance of students in private schools.  However, there was only one skill such as vocabulary in context which was predictor of overall science performance of all students. Moreover, separate effects of making inference, identifying main idea explained only 1.8 percent and 1.3 percent of students’ math performance while their combined effects provided only .1 percent or nearly zero percent. Furthermore, the study found out that separate effects of noting details contributed 3.3 percent and its combined effects with making inference explained 4.2 percent of science performance of students in public schools. In terms of effects of reading to science

  8. Effects of "Handep" Cooperative Learning Based on Indigenous Knowledge on Mathematical Problem Solving Skill

    Science.gov (United States)

    Demitra; Sarjoko

    2018-01-01

    Indigenous people of Dayak tribe in Kalimantan, Indonesia have traditionally relied on a system of mutual cooperation called "handep." The cultural context has an influence on students mathematics learning. The "handep" system might be suitable for modern learning situations to develop mathematical problem-solving skill. The…

  9. HOW MATHEMATICS TEACHERS DEVELOP THEIR PUPILS’ SELF-REGULATED LEARNING SKILLS

    Directory of Open Access Journals (Sweden)

    Iuliana Marchis

    2011-11-01

    Full Text Available Self-regulated learning skills are important in mathematical problem solving. The aim of the paper is to present a research on how mathematics teachers guide their pupils’ mathematical problem-solving activities in order to increase self-regulation. 62 teachers have filled in a questionnaire developed for this research. The results are show that more than two third of the teachers promote the methods of understanding the problem; develop pupils’ self-efficacy and self-control. But only one third of the teachers ask pupils to use different strategies for solving a problem; ask students to explain the solution to their colleagues. In case of unsuccessful problem solving only one third of the respondents ask pupils to present previous knowledge about the problem or/and recall and try different methods.

  10. Pre-Service Mathematics Teachers' Noticing Skills and Scaffolding Practices

    Science.gov (United States)

    Kilic, Hulya

    2018-01-01

    A 14-week course program was designed to investigate pre-service teachers' noticing skills and scaffolding practices. Six pre-service teachers were matched with a pair of sixth grade students to observe and scaffold students' mathematical understanding while they were working on the given tasks. Data was collected through pre-service teachers' own…

  11. Developmental Relations among Motor and Cognitive Processes and Mathematics Skills

    Science.gov (United States)

    Kim, Helyn; Duran, Chelsea A. K.; Cameron, Claire E.; Grissmer, David

    2018-01-01

    This study explored transactional associations among visuomotor integration, attention, fine motor coordination, and mathematics skills in a diverse sample of one hundred thirty-five 5-year-olds (kindergarteners) and one hundred nineteen 6-year-olds (first graders) in the United States who were followed over the course of 2 school years.…

  12. Learning transfer of geospatial technologies in secondary science and mathematics core areas

    Science.gov (United States)

    Nielsen, Curtis P.

    The purpose of this study was to investigate the transfer of geospatial technology knowledge and skill presented in a social sciences course context to other core areas of the curriculum. Specifically, this study explored the transfer of geospatial technology knowledge and skill to the STEM-related core areas of science and mathematics among ninth-grade students. Haskell's (2001) research on "levels of transfer" provided the theoretical framework for this study, which sought to demonstrate the experimental group's higher ability to transfer geospatial skills, higher mean assignment scores, higher post-test scores, higher geospatial skill application and deeper levels of transfer application than the control group. The participants of the study consisted of thirty ninth-graders enrolled in U.S. History, Earth Science and Integrated Mathematics 1 courses. The primary investigator of this study had no previous classroom experiences with this group of students. The participants who were enrolled in the school's existing two-section class configuration were assigned to experimental and control groups. The experimental group had ready access to Macintosh MacBook laptop computers, and the control group had ready access to Macintosh iPads. All participants in U.S. History received instruction with and were required to use ArcGIS Explorer Online during a Westward Expansion project. All participants were given the ArcGIS Explorer Online content assessment following the completion of the U.S. History project. Once the project in U.S. History was completed, Earth Science and Integrated Mathematics 1 began units of instruction beginning with a multiple-choice content pre-test created by the classroom teachers. Experimental participants received the same unit of instruction without the use or influence of ArcGIS Explorer Online. At the end of the Earth Science and Integrated Math 1 units, the same multiple-choice test was administered as the content post-test. Following the

  13. Analysis of Mathematical Communication Skills and Confidence of 10th Grader of SMK in Geometry Material Viewed from Cognitive Style

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    Elanda Laksinta Putri

    2017-03-01

    Full Text Available The purpose of this study were to describe the mathematical communication skills and the confidence of grade X SMK students on Van Hiele model geometry learning based on their cognitive styles. It was a qualitative descriptive research. The subjects were 2 impulsive students and 2 reflective students which were selected with MFFT instrument. The data collection techniques were mathematical communication skills tests (written and orally, interviews, documentation, attitude scale and activity observation sheets. The results showed that both written and orally, reflective students were able to meet 5 indicators of mathematical communication skills, and less meet another indicators. While, impulsive students less meet all of the mathematical communication skills indictors. The impulsive students confidence was in the medium category. In contrary, the reflective students confidence was in the high category.

  14. A complementary measure of heterogeneity on mathematical skills

    Science.gov (United States)

    Fedriani, Eugenio M.; Moyano, Rafael

    2012-06-01

    Finding educational truths is an inherently multivariate problem. There are many factors affecting each student and their performances. Because of this, both measuring of skills and assessing students are always complex processes. This is a well-known problem, and a number of solutions have been proposed by specialists. One of its ramifications is that the variety of progress levels of students in the Mathematics classroom makes teaching more difficult. We think that a measure of the heterogeneity of the different student groups could be interesting in order to prepare some strategies to deal with these kinds of difficulties. The major aim of this study is to develop new tools, complementary to the statistical ones that are commonly used for these purposes, to study situations related to education (mainly to the detection of levels of mathematical education) in which several variables are involved. These tools are thought to simplify these educational analyses and, through a better comprehension of the topic, to improve our teaching. Several authors in our research group have developed some mathematical, theoretical tools, to deal with multidimensional phenomena, and have applied them to measure poverty and also to other business models. These tools are based on multidigraphs. In this article, we implement these tools using symbolic computational software and apply them to study a specific situation related to mathematical education.

  15. Using Interactive Software to Teach Foundational Mathematical Skills

    Directory of Open Access Journals (Sweden)

    Larysa V Lysenko

    2016-01-01

    Full Text Available The pilot research presented here explores the classroom use of Emerging Literacy in Mathematics (ELM software, a research-based bilingual interactive multimedia instructional tool, and its potential to develop emerging numeracy skills. At the time of the study, a central theme of early mathematics curricula, Number Concept, was fully developed. It was broken down into five mathematical concepts including counting, comparing, adding, subtracting and decomposing. Each of these was further subdivided yielding 22 online activities, each building in a level of complexity and abstraction. In total, 234 grade one students from 12 classes participated in the two-group post-test study that lasted about seven weeks and for which students in the experimental group used ELM for about 30 minutes weekly. The results for the final sample of 186 students showed that ELM students scored higher on the standardized math test (Canadian Achievement Test, 2008 and reported less boredom and lower anxiety as measured on the Academic Emotions Questionnaire than their peers in the control group. This short duration pilot study of one ELM theme holds great promise for ELM’s continued development.

  16. Reflective Learning and Prospective Teachers' Conceptual Understanding, Critical Thinking, Problem Solving, and Mathematical Communication Skills

    Science.gov (United States)

    Junsay, Merle L.

    2016-01-01

    This is a quasi-experimental study that explored the effects of reflective learning on prospective teachers' conceptual understanding, critical thinking, problem solving, and mathematical communication skills and the relationship of these variables. It involved 60 prospective teachers from two basic mathematics classes of an institution of higher…

  17. Behind Mathematical Learning Disabilities: What about Visual Perception and Motor Skills?

    Science.gov (United States)

    Pieters, Stefanie; Desoete, Annemie; Roeyers, Herbert; Vanderswalmen, Ruth; Van Waelvelde, Hilde

    2012-01-01

    In a sample of 39 children with mathematical learning disabilities (MLD) and 106 typically developing controls belonging to three control groups of three different ages, we found that visual perception, motor skills and visual-motor integration explained a substantial proportion of the variance in either number fact retrieval or procedural…

  18. Interdisciplinary education - a predator-prey model for developing a skill set in mathematics, biology and technology

    Science.gov (United States)

    van der Hoff, Quay

    2017-08-01

    The science of biology has been transforming dramatically and so the need for a stronger mathematical background for biology students has increased. Biological students reaching the senior or post-graduate level often come to realize that their mathematical background is insufficient. Similarly, students in a mathematics programme, interested in biological phenomena, find it difficult to master the complex systems encountered in biology. In short, the biologists do not have enough mathematics and the mathematicians are not being taught enough biology. The need for interdisciplinary curricula that includes disciplines such as biology, physical science, and mathematics is widely recognized, but has not been widely implemented. In this paper, it is suggested that students develop a skill set of ecology, mathematics and technology to encourage working across disciplinary boundaries. To illustrate such a skill set, a predator-prey model that contains self-limiting factors for both predator and prey is suggested. The general idea of dynamics, is introduced and students are encouraged to discover the applicability of this approach to more complex biological systems. The level of mathematics and technology required is not advanced; therefore, it is ideal for inclusion in a senior-level or introductory graduate-level course for students interested in mathematical biology.

  19. Teachers' Beliefs about Improving Transfer of Algebraic Skills from Mathematics into Physics in Senior Pre-University Education

    Science.gov (United States)

    Tursucu, Süleyman; Spandaw, Jeroen; Flipse, Steven; de Vries, Marc J.

    2017-01-01

    Students in senior pre-university education encounter difficulties in the application of mathematics into physics. This paper presents the outcome of an explorative qualitative study of teachers' beliefs about improving the transfer of algebraic skills from mathematics into physics. We interviewed 10 mathematics and 10 physics teachers using a…

  20. Research trends in mathematics teacher education

    CERN Document Server

    Lo, Jane-Jane; Zoest, Laura RVan

    2014-01-01

    Research on the preparation and continued development of mathematics teachers is becoming an increasingly important subset of mathematics education research. Such research explores the attributes, knowledge, skills and beliefs of mathematics teachers as well as methods for assessing and developing these critical aspects of teachers and influences on teaching.Research Trends in Mathematics Teacher Education focuses on three major themes in current mathematics teacher education research: mathematical knowledge for teaching, teacher beliefs and identities, and tools and techniques to support teacher learning. Through careful reports of individual research studies and cross-study syntheses of the state of research in these areas, the book provides insights into teachers' learning processes and how these processes can be harnessed to develop effective teachers. Chapters investigate bedrock skills needed for working with primary and secondary learners (writing relevant problems, planning lessons, being attentive to...

  1. Pre-Service Class Teacher' Ability in Solving Mathematical Problems and Skills in Solving Daily Problems

    Science.gov (United States)

    Aljaberi, Nahil M.; Gheith, Eman

    2016-01-01

    This study aims to investigate the ability of pre-service class teacher at University of Petrain solving mathematical problems using Polya's Techniques, their level of problem solving skills in daily-life issues. The study also investigates the correlation between their ability to solve mathematical problems and their level of problem solving…

  2. Enhancing the Communication and Speaking Skills of Mathematics Undergraduates

    OpenAIRE

    Groves, James

    2012-01-01

    In June 2011, the University of Lancaster delivered a substantially-enhanced course in Communication and Presentation Skills to 108 second-year undergraduate mathematicians. The course was delivered jointly by staff in the Department of Mathematics and Statistics and CETAD, the Centre for Training and Development at Lancaster. Funding for the course and its increased staffing requirement came from an MSOR HE Curriculum Innovation Fund grant of £5,000. CETAD is a specialist unit which focuses ...

  3. Teaching general problem-solving skills is not a substitute for, or a viable addition to, teaching mathematics

    NARCIS (Netherlands)

    Sweller, John; Clark, Richard; Kirschner, Paul A.

    2010-01-01

    Sweller, J., Clark, R., & Kirschner, P. A. (2010). Teaching general problem-solving skills is not a substitute for, or a viable addition to, teaching mathematics. Notices of the American Mathematical Society, 57, 1303-1304.

  4. Nonsymbolic and symbolic magnitude comparison skills as longitudinal predictors of mathematical achievement

    NARCIS (Netherlands)

    Xenidou-Dervou, I.; Molenaar, D.; Ansari, D.; van der Schoot, M.; van Lieshout, E.C.D.M.

    What developmental roles do nonsymbolic (e.g., dot arrays) and symbolic (i.e., Arabic numerals) magnitude comparison skills play in children's mathematics? We assessed a large sample in kindergarten, grade 1 and 2 on two well-known nonsymbolic and symbolic magnitude comparison measures. We also

  5. Number sense or working memory? The effect of two computer-based trainings on mathematical skills in elementary school.

    Science.gov (United States)

    Kuhn, Jörg-Tobias; Holling, Heinz

    2014-01-01

    Research on the improvement of elementary school mathematics has shown that computer-based training of number sense (e.g., processing magnitudes or locating numbers on the number line) can lead to substantial achievement gains in arithmetic skills. Recent studies, however, have highlighted that training domain-general cognitive abilities (e.g., working memory [WM]) may also improve mathematical achievement. This study addressed the question of whether a training of domain-specific number sense skills or domain-general WM abilities is more appropriate for improving mathematical abilities in elementary school. Fifty-nine children (M age = 9 years, 32 girls and 27 boys) received either a computer-based, adaptive training of number sense (n = 20), WM skills (n = 19), or served as a control group (n = 20). The training duration was 20 min per day for 15 days. Before and after training, we measured mathematical ability using a curriculum-based math test, as well as spatial WM. For both training groups, we observed substantial increases in the math posttest compared to the control group (d = .54 for number sense skills training, d = .57 for WM training, respectively). Whereas the number sense group showed significant gains in arithmetical skills, the WM training group exhibited marginally significant gains in word problem solving. However, no training group showed significant posttest gains on the spatial WM task. Results indicate that a short training of either domain-specific or domain-general skills may result in reliable short-term training gains in math performance, although no stable training effects were found in the spatial WM task.

  6. Deaf college students' mathematical skills relative to morphological knowledge, reading level, and language proficiency.

    Science.gov (United States)

    Kelly, Ronald R; Gaustad, Martha G

    2007-01-01

    This study of deaf college students examined specific relationships between their mathematics performance and their assessed skills in reading, language, and English morphology. Simple regression analyses showed that deaf college students' language proficiency scores, reading grade level, and morphological knowledge regarding word segmentation and meaning were all significantly correlated with both the ACT Mathematics Subtest and National Technical Institute for the Deaf (NTID) Mathematics Placement Test scores. Multiple regression analyses identified the best combination from among these potential independent predictors of students' performance on both the ACT and NTID mathematics tests. Additionally, the participating deaf students' grades in their college mathematics courses were significantly and positively associated with their reading grade level and their knowledge of morphological components of words.

  7. The Relationship between Higher Order Thinking Skills and Academic Performance of Student in Mathematics Instruction

    Science.gov (United States)

    Tanujaya, Benidiktus; Mumu, Jeinne; Margono, Gaguk

    2017-01-01

    Higher order thinking skills (HOTS) is one of important aspects in education. Students with high level of higher order thinking skills tend to be more successful. However, do this phenomenon also happen in the learning of Mathematics? To answer this question, this research aims to study the relationship between HOTS and students' academic…

  8. Developing CORE model-based worksheet with recitation task to facilitate students’ mathematical communication skills in linear algebra course

    Science.gov (United States)

    Risnawati; Khairinnisa, S.; Darwis, A. H.

    2018-01-01

    The purpose of this study was to develop a CORE model-based worksheet with recitation task that were valid and practical and could facilitate students’ communication skills in Linear Algebra course. This study was conducted in mathematics education department of one public university in Riau, Indonesia. Participants of the study were media and subject matter experts as validators as well as students from mathematics education department. The objects of this study are students’ worksheet and students’ mathematical communication skills. The results of study showed that: (1) based on validation of the experts, the developed students’ worksheet was valid and could be applied for students in Linear Algebra courses; (2) based on the group trial, the practicality percentage was 92.14% in small group and 90.19% in large group, so the worksheet was very practical and could attract students to learn; and (3) based on the post test, the average percentage of ideals was 87.83%. In addition, the results showed that the students’ worksheet was able to facilitate students’ mathematical communication skills in linear algebra course.

  9. Teachers’ beliefs about improving transfer of algebraic skills from mathematics into physics in senior pre-university education

    NARCIS (Netherlands)

    Tursucu, S.; Spandaw, J.G.; Flipse, S.M.; de Vries, M.J.

    2017-01-01

    Students in senior pre-university education encounter difficulties in the application of mathematics into physics. This paper presents the outcome of an explorative qualitative study of teachers’ beliefs about improving the transfer of algebraic skills from mathematics into physics. We

  10. Spontaneous focusing on numerosity in preschool as a predictor of mathematical skills and knowledge in the fifth grade.

    Science.gov (United States)

    Nanu, Cristina E; McMullen, Jake; Munck, Petriina; Hannula-Sormunen, Minna M

    2018-05-01

    Previous studies in a variety of countries have shown that there are substantial individual differences in children's spontaneous focusing on numerosity (SFON), and these differences are positively related to the development of early numerical skills in preschool and primary school. A total of 74 5-year-olds participated in a 7-year follow-up study, in which we explored whether SFON measured with very small numerosities at 5 years of age predicts mathematical skills and knowledge, math motivation, and reading in fifth grade at 11 years of age. Results show that preschool SFON is a unique predictor of arithmetic fluency and number line estimation but not of rational number knowledge, mathematical achievement, math motivation, or reading. These results hold even after taking into account age, IQ, working memory, digit naming, and cardinality skills. The results of the current study further the understanding of how preschool SFON tendency plays a role in the development of different formal mathematical skills over an extended period of time. Copyright © 2017 Elsevier Inc. All rights reserved.

  11. Critical Thinking Skills of Students through Mathematics Learning with ASSURE Model Assisted by Software Autograph

    Science.gov (United States)

    Kristianti, Y.; Prabawanto, S.; Suhendra, S.

    2017-09-01

    This study aims to examine the ability of critical thinking and students who attain learning mathematics with learning model ASSURE assisted Autograph software. The design of this study was experimental group with pre-test and post-test control group. The experimental group obtained a mathematics learning with ASSURE-assisted model Autograph software and the control group acquired the mathematics learning with the conventional model. The data are obtained from the research results through critical thinking skills tests. This research was conducted at junior high school level with research population in one of junior high school student in Subang Regency of Lesson Year 2016/2017 and research sample of class VIII student in one of junior high school in Subang Regency for 2 classes. Analysis of research data is administered quantitatively. Quantitative data analysis was performed on the normalized gain level between the two sample groups using a one-way anova test. The results show that mathematics learning with ASSURE assisted model Autograph software can improve the critical thinking ability of junior high school students. Mathematical learning using ASSURE-assisted model Autograph software is significantly better in improving the critical thinking skills of junior high school students compared with conventional models.

  12. American Mathematical Association of Two Year Colleges Reform Policies in Practice: Implementing Standards in Classroom Instruction for Basic Skills Mathematics at One Four-Year College in New Jersey

    Science.gov (United States)

    Garruto, Patricia J.

    2012-01-01

    High school graduates continue to enter post-secondary education lacking in basic mathematical skills and thus not academically prepared to enroll in college-level mathematics courses (ACT, 2010). Although it can be argued that those mathematical concepts should have been mastered in grades K-12, educating those students in basic skills…

  13. Efforts to Improve Mathematics Teacher Competency Through Training Program on Design Olympiad Mathematics Problems Based on Higher Order Thinking Skills in The Junior High School

    Science.gov (United States)

    Arnellis, A.; Jamaan, E. Z.; Amalita, N.

    2018-04-01

    The goal to analyse a improvement of teacher competence after being trained in preparing high-order math olympicad based on high order thinking skills in junior high school teachers in Pesisir Selatan Regency. The sample of these activities are teachers at the MGMP junior high school in Pesisir Selatan District. Evaluation of the implementation is done by giving a pre test and post test, which will measure the success rate of the implementation of this activities. The existence of the devotion activities is expected to understand the enrichment of mathematics olympiad material and training in the preparation of math olympiad questions for the teachers of South Pesisir district junior high school, motivating and raising the interest of the participants in order to follow the mathematics olympiad with the enrichment of mathematics materials and the training of problem solving about mathematics olympiad for junior high school teachers, the participants gain experience and gain insight, as well as the ins and outs of junior mathematics olympiad and implement to teachers and students in olympic competitions. The result of that the post-test is better than the result of pretest in the training of mathematics teacher competence improvement in composing the mathematics olympiad problem based on high order thinking skills of junior high school (SMP) in Pesisir Selatan District, West Sumatra, Indonesia.

  14. High School Students with Learning Disabilities: Mathematics Instruction, Study Skills, and High Stakes Tests

    Science.gov (United States)

    Steele, Marcee M.

    2010-01-01

    This article reviews characteristics of high school students with learning disabilities and presents instructional modifications and study skills to help them succeed in algebra and geometry courses and on high stakes mathematics assessments.

  15. Effects of phonological awareness and naming speed on mathematics skills in children with mild intellectual disabilities.

    Science.gov (United States)

    Foster, Matthew E; Sevcik, Rose A; Romski, Maryann; Morris, Robin D

    2015-01-01

    Both phonological awareness (PA) and naming speed have been identified as two skills related to the development of mathematics skills for children with and without learning disabilities. The purpose of the present study was to investigate the relationships between PA and colour naming speed for 265 elementary school students with mild intellectual disabilities (MID). Participants were assessed using the Comprehensive Test of Phonological Processes and the KeyMath Revised Diagnostic Inventory of Essential Mathematics. Hierarchical regression analyses accounting for the effects of age indicated that children with MID rely on both PA and naming speed when solving mathematics problems, although PA was the more robust indicator of the two. As a whole, these results suggest that children with intellectual disabilities evidence the same types of reading and math relationships as shown for other populations of children.

  16. From Research to Practice: Basic Mathematics Skills and Success in Introductory Statistics

    Science.gov (United States)

    Lunsford, M. Leigh; Poplin, Phillip

    2011-01-01

    Based on previous research of Johnson and Kuennen (2006), we conducted a study to determine factors that would possibly predict student success in an introductory statistics course. Our results were similar to Johnson and Kuennen in that we found students' basic mathematical skills, as measured on a test created by Johnson and Kuennen, were a…

  17. Bridging the Gap: A Design-based Case Study of a Mathematics Skills Intervention Program

    OpenAIRE

    Safaralian, Leila

    2017-01-01

    Abstract of the DissertationBridge the Gap: A Design-based Case Study of a Mathematics Skills Intervention ProgrambyLeila SafaralianDoctor of Education in Educational LeadershipUniversity of California, San Diego, 2017California State University, San Marcos, 2017Kenneth P. Gonzalez, ChairMany students aspire to continue their educational journey, but far too many enter college without the basic content knowledge, skills, or habits of mind needed to succeed. Research on college readiness indic...

  18. Developing Basic Mathematical Skills of Pre-School Children by Using Plasticized Clay

    Science.gov (United States)

    Chumark, Charung; Puncreobutr, Vichian

    2016-01-01

    The main objective of this research was to study the development of basic mathematical skills in preschool children by using plasticized clay. A pre-test and post-test design was adopted for the study to compare the difference before and after the art activity. The experimental group of 15 preschool children of 3-4 years old, attending…

  19. An investigation to find strategies to improve student nurses' maths skills.

    Science.gov (United States)

    Wright, Kerri

    Being able to perform drug calculations accurately is an essential skill for nurses. Many studies, however, have demonstrated that nurses need to improve this area of their practice and in particular their mathematical skills. Several strategies have been implemented to develop the drug calculation skills of nurses, with mixed success. This article reports on a study that was carried out to investigate whether strategies implemented within a second-year pre-registration course were perceived by students to be helpful in improving their mathematical skills for drug calculations. The results demonstrated that students felt their mathematics and confidence improved as a result of these strategies. The students' evaluation of the learning strategy that they found most helpful in learning drug calculation gave a mixed result, indicating that students have differing learning styles and needs. The study also indicates that student nurses were able to integrate the mathematical skills into their nursing practice by having different strategies that allowed them to develop conceptual, mathematical and practical skills concurrently. The study recommends the implementation of integrated strategies to address drug calculation skills in student nurses, although further research is still required.

  20. Effects of the SOLVE Strategy on the Mathematical Problem Solving Skills of Secondary Students with Learning Disabilities

    Science.gov (United States)

    Freeman-Green, Shaqwana M.; O'Brien, Chris; Wood, Charles L.; Hitt, Sara Beth

    2015-01-01

    This study examined the effects of explicit instruction in the SOLVE Strategy on the mathematical problem solving skills of six Grade 8 students with specific learning disabilities. The SOLVE Strategy is an explicit instruction, mnemonic-based learning strategy designed to help students in solving mathematical word problems. Using a multiple probe…

  1. Primary School Text Comprehension Predicts Mathematical Word Problem-Solving Skills in Secondary School

    Science.gov (United States)

    Björn, Piia Maria; Aunola, Kaisa; Nurmi, Jari-Erik

    2016-01-01

    This longitudinal study aimed to investigate the extent to which primary school text comprehension predicts mathematical word problem-solving skills in secondary school among Finnish students. The participants were 224 fourth graders (9-10 years old at the baseline). The children's text-reading fluency, text comprehension and basic calculation…

  2. The Effectiveness of Local Culture-Based Mathematical Heuristic-KR Learning towards Enhancing Student's Creative Thinking Skill

    Science.gov (United States)

    Tandiseru, Selvi Rajuaty

    2015-01-01

    The problem in this research is the lack of creative thinking skills of students. One of the learning models that is expected to enhance student's creative thinking skill is the local culture-based mathematical heuristic-KR learning model (LC-BMHLM). Heuristic-KR is a learning model which was introduced by Krulik and Rudnick (1995) that is the…

  3. Evaluation of the Effect of Mathematical Routines on the Development of Skills in Mathematical Problem Solving and School Motivation of Primary School Students in Abitibi-Témiscamingue

    Science.gov (United States)

    Rajotte, Thomas; Marcotte, Christine; Bureau-Levasseur, Lisa

    2016-01-01

    In recent decades, the dropout rate in Abitibi-Témiscamingue is a worrying phenomenon. An analysis of ministerial examination results identifies that students in Abitibi-Témiscamingue have specific difficulties with mathematical problem solving tasks. Among the activities that develop those skills, the daily routines in mathematics seem to be a…

  4. Skill Games for Mathematics.

    Science.gov (United States)

    Corle, Clyde G.

    This guide is to assist teachers with motivational ideas for teaching elementary school mathematics. The items included are a wide variety of games (paper and pencil, verbal, and physical), jingles, contests, teaching devices, and thought provoking exercises. Suggestions for selection of mathematical games are offered. The devices are used to…

  5. Evaluation of Students' Mathematical Problem Solving Skills in Relation to Their Reading Levels

    Science.gov (United States)

    Özsoy, Gökhan; Kuruyer, Hayriye Gül; Çakiroglu, Ahmet

    2015-01-01

    The purpose of the current study is to investigate the correlation between students' reading levels and mathematical problem solving skills. The present study was conducted in line with a qualitative research method, i.e., the phenomenological method. The study group of the current research is composed of six third grade students with different…

  6. The Instructional Guide for Abbott Skills Enhancement Classes. Revised Edition.

    Science.gov (United States)

    Ballinger, Ronda; Gee, Mary Kay

    This guide, which integrates adult basic education (ABE) curriculum, job skills for Abbott Laboratories, and work-related foundation skills, is designed for an instructional program in the skill areas of reading, writing, oral communications, mathematics, and problem solving. In addition to creating a uniform process and product to promote…

  7. Connecting mathematics learning through spatial reasoning

    Science.gov (United States)

    Mulligan, Joanne; Woolcott, Geoffrey; Mitchelmore, Michael; Davis, Brent

    2018-03-01

    Spatial reasoning, an emerging transdisciplinary area of interest to mathematics education research, is proving integral to all human learning. It is particularly critical to science, technology, engineering and mathematics (STEM) fields. This project will create an innovative knowledge framework based on spatial reasoning that identifies new pathways for mathematics learning, pedagogy and curriculum. Novel analytical tools will map the unknown complex systems linking spatial and mathematical concepts. It will involve the design, implementation and evaluation of a Spatial Reasoning Mathematics Program (SRMP) in Grades 3 to 5. Benefits will be seen through development of critical spatial skills for students, increased teacher capability and informed policy and curriculum across STEM education.

  8. Intangible heritage for sustainable future: mathematics in the paddy field

    Science.gov (United States)

    Dewanto, Stanley P.; Kusuma, Dianne A.; Nurani Ruchjana, Budi; Setiawan Abdullah, Atje

    2017-10-01

    Mathematics, as the only general language, can describe all phenomena on earth. Mathematics not only helps us to understand these phenomena, but it also can sustain human activities, consequently ensure that the future development is sustainable. Indonesia, with high cultural diversity, should aware to have its understanding, skills, and philosophies developed by certain societies, with long histories of interaction with their natural surroundings, which will provide a foundation for locally appropriate sustainable development. This paper discussed the condition and situation on certain area in Cigugur, Indonesia, and what skills, knowledge, and concept can be transmitted, regarding simple mathematics (arithmetic). Some examples are provided.

  9. Developing Argumentation Skills in Mathematics through Computer-Supported Collaborative Learning: The Role of Transactivity

    Science.gov (United States)

    Vogel, Freydis; Kollar, Ingo; Ufer, Stefan; Reichersdorfer, Elisabeth; Reiss, Kristina; Fischer, Frank

    2016-01-01

    Collaboration scripts and heuristic worked examples are effective means to scaffold university freshmen's mathematical argumentation skills. Yet, which collaborative learning processes are responsible for these effects has remained unclear. Learners presumably will gain the most out of collaboration if the collaborators refer to each other's…

  10. Building a Mentorship-Based Research Program Focused on Individual Interests, Curiosity, and Professional Skills at the North Carolina School of Science and Mathematics

    Science.gov (United States)

    Shoemaker, Sarah E.; Thomas, Christopher; Roberts, Todd; Boltz, Robin

    2016-01-01

    The North Carolina School of Science and Mathematics (NCSSM) offers students a wide variety of real-world opportunities to develop skills and talent critical for students to gain the essential professional and personal skills that lead to success in science, technology, engineering, and mathematics (STEM) careers. One of the key avenues available…

  11. Mathematical calculation skills required for drug administration in undergraduate nursing students to ensure patient safety: A descriptive study: Drug calculation skills in nursing students.

    Science.gov (United States)

    Bagnasco, Annamaria; Galaverna, Lucia; Aleo, Giuseppe; Grugnetti, Anna Maria; Rosa, Francesca; Sasso, Loredana

    2016-01-01

    In the literature we found many studies that confirmed our concerns about nursing students' poor maths skills that directly impact on their ability to correctly calculate drug dosages with very serious consequences for patient safety. The aim of our study was to explore where students had most difficulty and identify appropriate educational interventions to bridge their mathematical knowledge gaps. This was a quali-quantitative descriptive study that included a sample of 726 undergraduate nursing students. We identified exactly where students had most difficulty and identified appropriate educational interventions to bridge their mathematical knowledge gaps. We found that the undergraduate nursing students mainly had difficulty with basic maths principles. Specific learning interventions are needed to improve their basic maths skills and their dosage calculation skills. For this purpose, we identified safeMedicate and eDose (Authentic World Ltd.), only that they are only available in English. In the near future we hope to set up a partnership to work together on the Italian version of these tools. Copyright © 2015 Elsevier Ltd. All rights reserved.

  12. Mathematics Learning Assisted Geogebra using Technologically Aligned Classroom (TAC) to Improve Communication Skills of Vocasional High School Student

    Science.gov (United States)

    Yuliardi, R.; Nurjanah

    2017-09-01

    The purpose of this study to analyze mathematical communication skill’s student to resolve geometry transformation problems through computer Assisted Geogebra using Technologically Aligned Classroom (TAC). The population in this study were students from one of Vocasional High School Student in West Java. Selection of sample by purposed random sampling, the experimental class is taught Technologically Aligned Classroom (TAC) with GeoGebra, while the control class is taught by conventional learning. This study was quasi-experimental with pretest and posttest control group design. Based on the results; (1) The enhancement of student mathematical communication skills through TAC was higher than the conventional learning; (2) based on gender, there were no differences of mathematical communication skilss student who exposed with TAC and conventional learning; (3) based on KAM test, there was significant enhancement of students’ communication skills among ability of high, middle, and low KAM. The differences occur between high KAM and middle KAM, and also between high KAM and low KAM. Based on this result, mathematics learning Assisted Geogebra using Technologically Aligned Classroom (TAC) can be applied in the process of Mathematics Learning in Vocasional High School.

  13. Mathematical Skills in Undergraduate Students. A Ten-Year Survey of a Plant Physiology Course

    Science.gov (United States)

    Llamas, A.; Vila, F.; Sanz, A.

    2012-01-01

    In the health and life sciences and many other scientific disciplines, problem solving depends on mathematical skills. However, significant deficiencies are commonly found in this regard in undergraduate students. In an attempt to understand the underlying causes, and to improve students' performances, this article describes a ten-year survey…

  14. Developing Instructional Design to Improve Mathematical Higher Order Thinking Skills of Students

    Science.gov (United States)

    Apino, E.; Retnawati, H.

    2017-02-01

    This study aimed to describe the instructional design to improve the Higher Order Thinking Skills (HOTS) of students in learning mathematics. This research is design research involving teachers and students of class X MIPA 1 MAN Yigyakarta III, Special Region of Yogyakarta, Indonesia. Data collected through focus group discussions and tests. Data analyzed by quantitative descriptive. The results showed that the instructional design developed is effective to improving students’ HOTS in learning mathematics. Instructional design developed generally include three main components: (1) involve students in the activities non-routine problem solving; (2) facilitating students to develop the ability to analyze and evaluate (critical thinking) and the ability to create (creative thinking); and (3) encourage students to construct their own knowledge.

  15. Ideas Para Fortalecer Las Destrezas en Matematicas. Ideas for Strengthening Mathematics Skills. Spanish Edition.

    Science.gov (United States)

    New York State Education Dept., Albany. Bureau of Bilingual Education.

    Presented is an overview of some specific schemes that have been used successfully by teachers throughout New York State to strengthen basic mathematics skills. Components offer ideas that have been successful with primary, intermediate, and secondary students. The contents of this Spanish language edition are identical to the English language and…

  16. Idee Per Consolidare Le Abilita In Matematica. Ideas for Strengthening Mathematics Skills. Italian Edition.

    Science.gov (United States)

    New York State Education Dept., Albany. Bureau of Bilingual Education.

    Presented is an overview of some specific schemes that have been used successfully by teachers throughout New York State to strengthen basic mathematics skills. Components offer ideas that have been successful with primary, intermediate, and secondary students. The contents of this Italian language edition are identical to the English language and…

  17. An Analysis of Mathematics Teacher Candidates' Critical Thinking Dispositions and Their Logical Thinking Skills

    Science.gov (United States)

    Incikabi, Lutfi; Tuna, Abdulkadir; Biber, Abdullah Cagri

    2013-01-01

    This study aimed to investigate the existence of the relationship between mathematics teacher candidates' critical thinking skills and their logical thinking dispositions in terms of the variables of grade level in college, high school type, and gender. The current study utilized relational survey model and included a total of 99 mathematics…

  18. The measurement of enhancement in mathematical abilities as a result of joint cognitive trainings in numerical and visual- spatial skills: A preliminary study

    International Nuclear Information System (INIS)

    Agus, M; Mascia, M L; Fastame, M C; Melis, V; Pilloni, M C; Penna, M P

    2015-01-01

    A body of literature shows the significant role of visual-spatial skills played in the improvement of mathematical skills in the primary school. The main goal of the current study was to investigate the impact of a combined visuo-spatial and mathematical training on the improvement of mathematical skills in 146 second graders of several schools located in Italy. Participants were presented single pencil-and-paper visuo-spatial or mathematical trainings, computerised version of the above mentioned treatments, as well as a combined version of computer-assisted and pencil-and-paper visuo-spatial and mathematical trainings, respectively. Experimental groups were presented with training for 3 months, once a week. All children were treated collectively both in computer-assisted or pencil-and-paper modalities. At pre and post-test all our participants were presented with a battery of objective tests assessing numerical and visuo-spatial abilities. Our results suggest the positive effect of different types of training for the empowerment of visuo-spatial and numerical abilities. Specifically, the combination of computerised and pencil-and-paper versions of visuo-spatial and mathematical trainings are more effective than the single execution of the software or of the pencil-and-paper treatment

  19. The measurement of enhancement in mathematical abilities as a result of joint cognitive trainings in numerical and visual- spatial skills: A preliminary study

    Science.gov (United States)

    Agus, M.; Mascia, M. L.; Fastame, M. C.; Melis, V.; Pilloni, M. C.; Penna, M. P.

    2015-02-01

    A body of literature shows the significant role of visual-spatial skills played in the improvement of mathematical skills in the primary school. The main goal of the current study was to investigate the impact of a combined visuo-spatial and mathematical training on the improvement of mathematical skills in 146 second graders of several schools located in Italy. Participants were presented single pencil-and-paper visuo-spatial or mathematical trainings, computerised version of the above mentioned treatments, as well as a combined version of computer-assisted and pencil-and-paper visuo-spatial and mathematical trainings, respectively. Experimental groups were presented with training for 3 months, once a week. All children were treated collectively both in computer-assisted or pencil-and-paper modalities. At pre and post-test all our participants were presented with a battery of objective tests assessing numerical and visuo-spatial abilities. Our results suggest the positive effect of different types of training for the empowerment of visuo-spatial and numerical abilities. Specifically, the combination of computerised and pencil-and-paper versions of visuo-spatial and mathematical trainings are more effective than the single execution of the software or of the pencil-and-paper treatment.

  20. Profile of Metacognition of Mathematics and Mathematics Education Students in Understanding the Concept of Integral Calculus

    Science.gov (United States)

    Misu, La; Ketut Budayasa, I.; Lukito, Agung

    2018-03-01

    This study describes the metacognition profile of mathematics and mathematics education students in understanding the concept of integral calculus. The metacognition profile is a natural and intact description of a person’s cognition that involves his own thinking in terms of using his knowledge, planning and monitoring his thinking process, and evaluating his thinking results when understanding a concept. The purpose of this study was to produce the metacognition profile of mathematics and mathematics education students in understanding the concept of integral calculus. This research method is explorative method with the qualitative approach. The subjects of this study are mathematics and mathematics education students who have studied integral calculus. The results of this study are as follows: (1) the summarizing category, the mathematics and mathematics education students can use metacognition knowledge and metacognition skills in understanding the concept of indefinite integrals. While the definite integrals, only mathematics education students use metacognition skills; and (2) the explaining category, mathematics students can use knowledge and metacognition skills in understanding the concept of indefinite integrals, while the definite integrals only use metacognition skills. In addition, mathematics education students can use knowledge and metacognition skills in understanding the concept of both indefinite and definite integrals.

  1. The implementation of skill assessment by the educators on the mathematics learning process in senior high school

    Science.gov (United States)

    Lestariani, I.; Sujadi, I.; Pramudya, I.

    2018-03-01

    The purpose of research to describe and know the implementation of skill assessment on the mathematics learning process with the high school mathematics teacher as the subject because it is less fully implemented. This research is the type of the descriptive qualitative method. The data was collecting observation method, interview and documentation. The result showed that on the planning stage of the implementation of skill assessment, there were many teachers who had not prepared all the completeness with various assessment techniques through performance, project and portfolio. The teacher was prepared the list of questions. On the implementation stage, there were many teachers who had not understand the stage of completing the assessment with the appropriate instrument method and development. On the reporting stage, discovered that teachers faced the difficulty on preparing scoring report with the range value. Aside from that, the teachers had not prepared the assessment instrument very well on the planning stage. It can be concluded that the implementation of skill assessment has been implemented but not maximally because educators don’t understand about the skill assessment and the number of instrument that must be prepared before the assessment.

  2. An Interdisciplinary Approach for Biology, Technology, Engineering and Mathematics (BTEM to Enhance 21st Century Skills in Malaysia.

    Directory of Open Access Journals (Sweden)

    Lee Chuo Hiong

    2015-07-01

    Full Text Available An interdisciplinary approach for Biology, Technology, Engineering and Mathematics (BTEM is suggested to develop 21st century skills in the Malaysian context. BTEM allows students to master biological knowledge and at the same time to be adroit in other sub discipline skills. Students master factual knowledge of biology and skills of the 21st century simultaneously. The two main teaching and learning strategies applied in BTEM are problem-based learning and inquiry-based learning. Students are exposed to real world problems that require them to undergo inquiry processes to discover the inventive solutions. The content knowledge of biology adheres to the Malaysian Integrated Curriculum for Secondary Schools. The essence of engineering is inventive problem solving. Incorporation of information communication technologies in teaching and learning will be able to fulfil the needs of the current Net Generation. Mathematics plays an important role as computational tools, especially in analysing data. The highlighted 21st century skills in BTEM include digital literacy, inventive thinking, effective communication, high productivity, and spiritual and noble values.

  3. Improving Mathematics at Work The Need for Techno-Mathematical Literacies

    CERN Document Server

    Hoyles, Celia; Kent, Phillip; Bakker, Arthur

    2010-01-01

    What are the mathematical knowledge and skills that actually matter for the world of work today? Has technology reduced the necessary knowledge to the most basic arithmetic? This book argues that there has been a radical shift in the nature of mathematical skills required for work

  4. The Transitory Phase to the Attainment of Self-Regulatory Skill in Mathematical Problem Solving

    Science.gov (United States)

    Lazakidou, G.; Paraskeva, F.; Retalis, S.

    2007-01-01

    Three phases of development of self-regulatory skill in the domain of mathematical problem solving were designed to examine students' behaviour and the effects on their problem solving ability. Forty-eight Grade 4 students (10 year olds) participated in this pilot study. The students were randomly assigned to one of three groups, each representing…

  5. Mathematics teachers' metacognitive skills and mathematical language in the teaching-learning of trigonometric functions in township schools / Johanna Sandra Fransman

    OpenAIRE

    Fransman, Johanna Sandra

    2014-01-01

    Metacognition is commonly understood in the context of the learners and not their teachers. Extant literature focusing on how Mathematics teachers apply their metacognitive skills in the classroom, clearly distinguishes between teaching with metacognition (TwM) referring to teachers thinking about their own thinking and teaching for metacognition (TfM) which refers to teachers creating opportunities for learners to reflect on their thinking. However, in both of these cases, thinking requires ...

  6. Cognitive mechanisms underlying third graders' arithmetic skills: Expanding the pathways to mathematics model.

    Science.gov (United States)

    Träff, Ulf; Olsson, Linda; Skagerlund, Kenny; Östergren, Rickard

    2018-03-01

    A modified pathways to mathematics model was used to examine the cognitive mechanisms underlying arithmetic skills in third graders. A total of 269 children were assessed on tasks tapping the four pathways and arithmetic skills. A path analysis showed that symbolic number processing was directly supported by the linguistic and approximate quantitative pathways. The direct contribution from the four pathways to arithmetic proficiency varied; the linguistic pathway supported single-digit arithmetic and word problem solving, whereas the approximate quantitative pathway supported only multi-digit calculation. The spatial processing and verbal working memory pathways supported only arithmetic word problem solving. The notion of hierarchical levels of arithmetic was supported by the results, and the different levels were supported by different constellations of pathways. However, the strongest support to the hierarchical levels of arithmetic were provided by the proximal arithmetic skills. Copyright © 2017 Elsevier Inc. All rights reserved.

  7. Cognitive Skills Used to Solve Mathematical Word Problems and Numerical Operations: A Study of 6- to 7-Year-Old Children

    Science.gov (United States)

    Bjork, Isabel Maria; Bowyer-Crane, Claudine

    2013-01-01

    This study investigates the relationship between skills that underpin mathematical word problems and those that underpin numerical operations, such as addition, subtraction, division and multiplication. Sixty children aged 6-7 years were tested on measures of mathematical ability, reading accuracy, reading comprehension, verbal intelligence and…

  8. Enabling Metacognitive Skills for Mathematics Problem Solving: A Collective Case Study of Metacognitive Reflection and Awareness

    Science.gov (United States)

    Jagals, Divan; van der Walt, Marthie

    2016-01-01

    Metacognition encompasses knowledge and regulation that, through reflection, sustain problem solving behaviour. How metacognitive awareness is constructed from reflection on metacognitive knowledge and regulation and how these reflections enable metacognitive skills for Mathematics problem solving remain unclear. Three secondary schools…

  9. Engaging Elementary Students in the Creative Process of Mathematizing Their World through Mathematical Modeling

    Directory of Open Access Journals (Sweden)

    Jennifer M. Suh

    2017-06-01

    Full Text Available This paper examines the experiences of two elementary teachers’ implementation of mathematical modeling in their classrooms and how the enactment by the teachers and the engagement by students exhibited their creativity, critical thinking, collaboration and communication skills. In particular, we explore the questions: (1 How can phases of mathematical modeling as a process serve as a venue for exhibiting students’ critical 21st century skills? (2 What were some effective pedagogical practices teachers used as they implemented mathematical modeling with elementary students and how did these promote students’ 21st century skills? We propose that mathematical modeling provides space for teachers and students to have a collective experience through the iterative process of making sense of and building knowledge of important mathematical ideas while engaging in the critical 21st century skills necessary in our complex modern world.

  10. Effects of the Self-Regulation Empowerment Program (SREP) on middle school students' strategic skills, self-efficacy, and mathematics achievement.

    Science.gov (United States)

    Cleary, Timothy J; Velardi, Brittany; Schnaidman, Bracha

    2017-10-01

    The current study examined the effectiveness of an applied self-regulated learning intervention (Self-Regulation Empowerment Program (SREP)) relative to an existing, school-based remedial mathematics intervention for improving the motivation, strategic skills, and mathematics achievement of academically at-risk middle school students. Although significant group differences in student self-regulated learning (SRL) were not observed when using self-report questionnaires, medium to large and statistically significant group differences were observed across several contextualized, situation-specific measures of strategic and regulatory thinking. The SREP group also exhibited a statistically significant and more positive trend in achievement scores over two years in middle school relative to the comparison condition. Finally, SREP students and coaches reported SREP to be a socially-valid intervention, in terms of acceptability and importance. The importance of this study and critical areas for future research are highlighted and discussed. Copyright © 2017 Society for the Study of School Psychology. Published by Elsevier Ltd. All rights reserved.

  11. Exploring Effects of High School Students' Mathematical Processing Skills and Conceptual Understanding of Chemical Concepts on Algorithmic Problem Solving

    Science.gov (United States)

    Gultepe, Nejla; Yalcin Celik, Ayse; Kilic, Ziya

    2013-01-01

    The purpose of the study was to examine the effects of students' conceptual understanding of chemical concepts and mathematical processing skills on algorithmic problem-solving skills. The sample (N = 554) included grades 9, 10, and 11 students in Turkey. Data were collected using the instrument "MPC Test" and with interviews. The MPC…

  12. On the Edge of Mathematics and Biology Integration: Improving Quantitative Skills in Undergraduate Biology Education

    Science.gov (United States)

    Feser, Jason; Vasaly, Helen; Herrera, Jose

    2013-01-01

    In this paper, the authors describe how two institutions are helping their undergraduate biology students build quantitative competencies. Incorporation of quantitative skills and reasoning in biology are framed through a discussion of two cases that both concern introductory biology courses, but differ in the complexity of the mathematics and the…

  13. Selective Spatial Working Memory Impairment in a Group of Children with Mathematics Learning Disabilities and Poor Problem-Solving Skills

    Science.gov (United States)

    Passolunghi, Maria Chiara; Mammarella, Irene Cristina

    2012-01-01

    This study examines visual and spatial working memory skills in 35 third to fifth graders with both mathematics learning disabilities (MLD) and poor problem-solving skills and 35 of their peers with typical development (TD) on tasks involving both low and high attentional control. Results revealed that children with MLD, relative to TD children,…

  14. Finger-Based Numerical Skills Link Fine Motor Skills to Numerical Development in Preschoolers.

    Science.gov (United States)

    Suggate, Sebastian; Stoeger, Heidrun; Fischer, Ursula

    2017-12-01

    Previous studies investigating the association between fine-motor skills (FMS) and mathematical skills have lacked specificity. In this study, we test whether an FMS link to numerical skills is due to the involvement of finger representations in early mathematics. We gave 81 pre-schoolers (mean age of 4 years, 9 months) a set of FMS measures and numerical tasks with and without a specific finger focus. Additionally, we used receptive vocabulary and chronological age as control measures. FMS linked more closely to finger-based than to nonfinger-based numerical skills even after accounting for the control variables. Moreover, the relationship between FMS and numerical skill was entirely mediated by finger-based numerical skills. We concluded that FMS are closely related to early numerical skill development through finger-based numerical counting that aids the acquisition of mathematical mental representations.

  15. How to make university students solve physics problems requiring mathematical skills: The "Adventurous Problem Solving" approach

    NARCIS (Netherlands)

    de Mul, F.F.M.; Martin Batlle, C.; Martin i Batlle, Cristina; de Bruijn, Imme; Rinzema, K.; Rinzema, Kees

    2003-01-01

    Teaching physics to first-year university students (in the USA: junior/senior level) is often hampered by their lack of skills in the underlying mathematics, and that in turn may block their understanding of the physics and their ability to solve problems. Examples are vector algebra, differential

  16. Reading, Mathematics and Fine Motor Skills at 5 Years of Age in US Children who were Extremely Premature at Birth.

    Science.gov (United States)

    Lee, Miryoung; Pascoe, John M; McNicholas, Caroline I

    2017-01-01

    Objectives The prevalence of extreme prematurity at birth has increased, but little research has examined its impact on developmental outcomes in large representative samples within the United States. This study examined the association of extreme prematurity with kindergarteners' reading skills, mathematics skills and fine motor skills. Methods The early childhood longitudinal study-birth cohort, a representative sample of the US children born in 2001 was analyzed for this study. Early reading and mathematics skills and fine motor skills were compared among 200 extremely premature children (EPC) (gestational age motor performance of PC (failed to build a gate, 1.3[95 % CI 1.0-1.7]; failed to draw all four shapes, 1.1[95 % CI 0.8-1.6]) was not significantly different from TC. Mean early reading scale score (36.8[SE:1.3]) of EPC was 4.0 points lower than TC (p value motor delays at age 5 years. This suggests that based on a nationally representative sample of infants, the biological risk of extreme prematurity persists after adjusting for other factors related to development.

  17. Examining Middle School Mathematics Teachers’ Use of Information and Communication Technologies and Psychomotor Skills

    Directory of Open Access Journals (Sweden)

    Alattin Ural

    2015-04-01

    Full Text Available The aim of this study is to investigate what kind of materials are used in which grades in order to improve psychomotor skills and the use of information technologies by students in the courses taught by mathematics teachers and how these materials are used; and to elicit the perceptions of these teachers on the use of these materials. Twenty two mathematics teachers (out of 25 working in 7 secondary schools were given a questionnaire form containing open ended questions and they were asked to write down the answers to those questions on the same form. The research was designed in the scanning model as a qualitative study. The data obtained from teachers were analyzed descriptively and samples from the data were presented categorically. It was observed that, regarding the psychomotor skills, a pair compass-ruler-protractor, dotted-isometric-graph paper, cutting-folding paper in geometry; fraction slips and algebra squares in algebra were the materials used respectively. The grades where these materials are used were 5, 6, 7, and 8 respectively. Regarding the use of information and communication technologies, it was observed that Morpa and Vitamin, the software developed by Turkish Ministery of Education was used to teach the subjects which contain shapes or animation; PowerPoint presentations to teach solid objects, fractals; and animations and videos on the internet to teach solid materials, triangles, fractals, patterns and decoration, equations and symmetry. These activities are used in the grades 8, 7, 6, 5 respectively. The teachers stated that the fact that information technologies and psychomotor skills are not used to the extent they should be stems from the lack of time, lack of computers, the overpopulated classes and the washback effect of the national exams. Keywords: Information and communication technologies (ICT, psychomotor skills, teacher’s opinions

  18. Results of Third-Grade Students in a Reform Curriculum on the Illinois State Mathematics Test.

    Science.gov (United States)

    Carroll, William M.

    1997-01-01

    Reports on the results of the reform curriculum of the University of Chicago School Mathematics Project's elementary curriculum, Everyday Mathematics, for third-grade students. Results included the fact that only 2% of UCSMP students failed to meet state goals. UCSMP students also scored well in all mathematical areas including number skills and…

  19. Developing a Framework of Outcomes for Mathematics Teacher Learning: Three Mathematics Educators Engage in Collaborative Self-Study

    Science.gov (United States)

    Bahr, Damon L.; Monroe, Eula Ewing; Mantilla, Jodi

    2018-01-01

    This article synthesizes the literature on what it means to teach mathematics and science to ELLs and abstract from it a set of knowledge and skills teachers might need to teach ELLs effectively. To this end, the article brings together the sociocultural and linguistic perspectives identifying three areas of effective teaching practice. One…

  20. Development of an Instrument to Measure Higher Order Thinking Skills in Senior High School Mathematics Instruction

    Science.gov (United States)

    Tanujaya, Benidiktus

    2016-01-01

    The purpose of this research was to develop an instrument that can be used to measure higher-order thinking skills (HOTS) in mathematics instruction of high school students. This research was conducted using a standard procedure of instrument development, from the development of conceptual definitions, development of operational definitions,…

  1. Making Meaning of Creativity and Mathematics Teaching

    DEFF Research Database (Denmark)

    Misfeldt, Morten

    2014-01-01

    . One reason is that it is not clear what relation such creative and innovative skills have to mathematics, and how we should teach them. In this paper, I review different conceptions of creativity in mathematics education and investigate what mathematical innovation and creativity “are......Creativity and innovation are important 21st-century skills, and mathematics education contributes to the development of these skills. However, it is far from clear how we as mathematics educators should respond to the need to contribute to our students’ development of creativity and innovation......” in the mathematical classroom. I show how different conceptions of mathematical innovation and creativity dominate different parts of the mathematics education literature, and explain how these differences can be viewed as framing mathematical creativity toward different domains....

  2. Counting on fine motor skills: links between preschool finger dexterity and numerical skills.

    Science.gov (United States)

    Fischer, Ursula; Suggate, Sebastian P; Schmirl, Judith; Stoeger, Heidrun

    2017-10-26

    Finger counting is widely considered an important step in children's early mathematical development. Presumably, children's ability to move their fingers during early counting experiences to aid number representation depends in part on their early fine motor skills (FMS). Specifically, FMS should link to children's procedural counting skills through consistent repetition of finger-counting procedures. Accordingly, we hypothesized that (a) FMS are linked to early counting skills, and (b) greater FMS relate to conceptual counting knowledge (e.g., cardinality, abstraction, order irrelevance) via procedural counting skills (i.e., one-one correspondence and correctness of verbal counting). Preschool children (N = 177) were administered measures of procedural counting skills, conceptual counting knowledge, FMS, and general cognitive skills along with parent questionnaires on home mathematics and fine motor environment. FMS correlated with procedural counting skills and conceptual counting knowledge after controlling for cognitive skills, chronological age, home mathematics and FMS environments. Moreover, the relationship between FMS and conceptual counting knowledge was mediated by procedural counting skills. Findings suggest that FMS play a role in early counting and therewith conceptual counting knowledge. © 2017 John Wiley & Sons Ltd.

  3. A first course in mathematical physics

    CERN Document Server

    Whelan, Colm T

    2016-01-01

    The book assumes next to no prior knowledge of the topic. The first part introduces the core mathematics, always in conjunction with the physical context. In the second part of the book, a series of examples showcases some of the more conceptually advanced areas of physics, the presentation of which draws on the developments in the first part. A large number of problems helps students to hone their skills in using the presented mathematical methods. Solutions to the problems are available to instructors on an associated password-protected website for lecturers.

  4. Applying a Conceptual Mini Game for Supporting Simple Mathematical Calculation Skills: Students' Perceptions and Considerations

    Science.gov (United States)

    Panagiotakopoulos, Chris T.

    2011-01-01

    Mathematics is an area of study that particularly lacks student enthusiasm. Nevertheless, with the help of educational games, any phobias concerning mathematics can be considerably decreased and mathematics can become more appealing. In this study, an educational game addressing mathematics was designed, developed and evaluated by a sample of 33…

  5. The Employment Advantages of Skilled Urban Areas

    OpenAIRE

    Diaz Escobar, Ana Maria

    2011-01-01

    This paper explores whether the agglomeration of human capital leads to social employment advantages in urban labor markets of a developing country: Colombia. I estimate the social effects of human capital agglomeration by comparing employment opportunities of individuals located in urban areas in which the level of education differs. Results show that employment opportunities are higher on average in skilled urban areas. Three explanations have been offered: human capital externalities, prod...

  6. The Effect of Scratch- and Lego Mindstorms Ev3-Based Programming Activities on Academic Achievement, Problem-Solving Skills and Logical-Mathematical Thinking Skills of Students

    Science.gov (United States)

    Korkmaz, Özgen

    2016-01-01

    The aim of this study was to investigate the effect of the Scratch and Lego Mindstorms Ev3 programming activities on academic achievement with respect to computer programming, and on the problem-solving and logical-mathematical thinking skills of students. This study was a semi-experimental, pretest-posttest study with two experimental groups and…

  7. Preschool Children's Interest, Social-Emotional Skills, and Emergent Mathematics Skills

    Science.gov (United States)

    Doctoroff, Greta L.; Fisher, Paige H.; Burrows, Bethany M.; Edman, Maria Tsepilovan

    2016-01-01

    This cross-sectional study examined the relationship between interest, social-emotional skills, and early math skills in preschool children. Math-specific interest and global interest in learning were measured using teacher report and a play-based observation task. Math skills were assessed with a test of math achievement, and social-emotional…

  8. The Effects of Modern Mathematics Computer Games on Mathematics Achievement and Class Motivation

    Science.gov (United States)

    Kebritchi, Mansureh; Hirumi, Atsusi; Bai, Haiyan

    2010-01-01

    This study examined the effects of a computer game on students' mathematics achievement and motivation, and the role of prior mathematics knowledge, computer skill, and English language skill on their achievement and motivation as they played the game. A total of 193 students and 10 teachers participated in this study. The teachers were randomly…

  9. ASSOCIATION AMONG MATHEMATICAL CRITICAL THINKING SKILL, COMMUNICATION, AND CURIOSITY ATTITUDE AS THE IMPACT OF PROBLEM-BASED LEARNING AND COGNITIVE CONFLICT STRATEGY (PBLCCS) IN NUMBER THEORY COURSE

    OpenAIRE

    Zetriuslita Zetriuslita; Wahyudin Wahyudin; Jarnawi Afgani Dahlan

    2018-01-01

    This research aims to find out the association amongMathematical Critical Thinking (MCT) ability, Mathematical Communication, and Mathematical Curiosity Attitude (MCA) as the impact of applying Problem-Based Learning Cognitive Conflict Strategy(PBLCCS) in Number Theory course. The research method is correlative study. The instruments include a test for mathematical critical thinking skill and communication, and questionnaire to obtain the scores of mathematical curiosity attitude. The finding...

  10. Development of early mathematical skills with a tablet intervention: a randomized control trial in Malawi.

    Science.gov (United States)

    Pitchford, Nicola J

    2015-01-01

    Evaluation of educational interventions is necessary prior to wide-scale rollout. Yet very few rigorous studies have been conducted on the effectiveness of tablet-based interventions, especially in the early years and in developing countries. This study reports a randomized control trial to evaluate the effectiveness of a tablet intervention for supporting the development of early mathematical skills in primary school children in Malawi. A total sample of 318 children, spanning Standards 1-3, attending a medium-sized urban primary school, were randomized to one of three groups: maths tablet intervention, non-maths tablet control, and standard face-to-face practice. Children were pre-tested using tablets at the start of the school year on two tests of mathematical knowledge and a range of basic skills related to scholastic progression. Class teachers then delivered the intervention over an 8-weeks period, for the equivalent of 30-min per day. Technical support was provided from the local Voluntary Service Overseas (VSO). Children were then post-tested on the same assessments as given at pre-test. A final sample of 283 children, from Standards 1-3, present at both pre- and post-test, was analyzed to investigate the effectiveness of the maths tablet intervention. Significant effects of the maths tablet intervention over and above standard face-to-face practice or using tablets without the maths software were found in Standards 2 and 3. In Standard 3 the greater learning gains shown by the maths tablet intervention group compared to both of the control groups on the tablet-based assessments transferred to paper and pencil format, illustrating generalization of knowledge gained. Thus, tablet technology can effectively support early years mathematical skills in developing countries if the software is carefully designed to engage the child in the learning process and the content is grounded in a solid well-constructed curriculum appropriate for the child's developmental

  11. Development of early mathematical skills with a tablet intervention: a randomized control trial in Malawi

    Directory of Open Access Journals (Sweden)

    Nicola ePitchford

    2015-04-01

    Full Text Available Evaluation of educational interventions is necessary prior to wide-scale rollout. Yet very few rigorous studies have been conducted on the effectiveness of tablet-based interventions, especially in the early years and in developing countries. This study reports a randomized control trial to evaluate the effectiveness of a tablet intervention for supporting the development of early mathematical skills in primary school children in Malawi. A total sample of 318 children, spanning Standards 1-3, attending a medium-sized urban primary school, were randomized to one of three groups: maths tablet intervention, non-maths tablet control, and standard face-to-face practice. Children were pre-tested using tablets at the start of the school year on two tests of mathematical knowledge and a range of basic skills related to scholastic progression. Class teachers then delivered the intervention over an 8-week period, for the equivalent of 30-minutes per day. Technical support was provided from the local Voluntary Service Overseas. Children were then post-tested on the same assessments as given at pre-test.A final sample of 283 children from Standards 1-3, present at both pre- and post-test, was analyzed to investigate the effectiveness of the maths tablet intervention. Significant effects of the maths tablet intervention over and above standard face-to-face practice or using tablets without the maths software were found in Standard 2 and 3. In Standard 3 the greater learning gains shown by the maths tablet intervention group compared to both of the control groups on the tablet-based assessments transferred to paper and pencil format, illustrating generalization of knowledge gained. Thus, tablet technology can effectively support early years mathematical skills in developing countries if the software is carefully designed to engage the child in the learning process and the content is grounded in a solid well-constructed curriculum appropriate for the child

  12. Student nurses need more than maths to improve their drug calculating skills.

    Science.gov (United States)

    Wright, Kerri

    2007-05-01

    Nurses need to be able to calculate accurate drug calculations in order to safely administer drugs to their patients (NMC, 2002). Studies have shown however that nurses do not always have the necessary skills to calculate accurate drug dosages and are potentially administering incorrect dosages of drugs to their patients (Hutton, M. 1998. Nursing Mathematics: the importance of application. Nursing Standard 13(11), 35-38; Kapborg, I. 1994. Calculation and administration of drug dosage by Swedish nurses, Student Nurses and Physicians. International Journal for Quality in Health Care 6(4), 389-395; O'Shea, E. 1999. Factors contributing to medication errors: a literature review. Journal of Advanced Nursing 8, 496-504; Wilson, A. 2003. Nurses maths: researching a practical approach. Nursing Standard 17(47), 33-36). The literature indicates that in order to improve drug calculations strategies need to focus on both the mathematical skills and conceptual skills of student nurses so they can interpret clinical data into drug calculations to be solved. A study was undertaken to investigate the effectiveness of implementing several strategies which focussed on developing the mathematical and conceptual skills of student nurses to improve their drug calculation skills. The study found that implementing a range of strategies which addressed these two developmental areas significantly improved the drug calculation skills of nurses. The study also indicates that a range of strategies has the potential ensuring that the skills taught are retained by the student nurses. Although the strategies significantly improved the drug calculation skills of student nurses, the fact that only 2 students were able to achieve 100% in their drug calculation test indicates a need for further research into this area.

  13. A Summary of an Assessment of Fourth and Sixth Grade Basic Skills.

    Science.gov (United States)

    CTB / McGraw-Hill, Monterey, CA.

    A comprehensive assessment was made of the status of elementary education in Missouri in reading, mathematics, language, and study skills. The Comprehensive Tests of Basic Skills (CTBS) and the Short Form Test of Academic Aptitude (SFTAA) were administered to a sample of Missouri fourth and sixth graders. For each curricular area, Missouri…

  14. Motivational, Parental, and Cultural Influences on Achievement and Persistence in Basic Skills Mathematics at the Community College

    Science.gov (United States)

    Nordstrom, Donna E.

    2012-01-01

    The purpose of this study was to address the gap in the current literature on community college students in basic math courses by examining motivational, parental and cultural factors as predictors of achievement and persistence of students enrolled in basic skills mathematics courses at a community college. More specifically, this study…

  15. Assessing pediatrics residents' mathematical skills for prescribing medication: a need for improved training.

    Science.gov (United States)

    Glover, Mark L; Sussmane, Jeffrey B

    2002-10-01

    To evaluate residents' skills in performing basic mathematical calculations used for prescribing medications to pediatric patients. In 2001, a test of ten questions on basic calculations was given to first-, second-, and third-year residents at Miami Children's Hospital in Florida. Four additional questions were included to obtain the residents' levels of training, specific pediatrics intensive care unit (PICU) experience, and whether or not they routinely double-checked doses and adjusted them for each patient's weight. The test was anonymous and calculators were permitted. The overall score and the score for each resident class were calculated. Twenty-one residents participated. The overall average test score and the mean test score of each resident class was less than 70%. Second-year residents had the highest mean test scores, although there was no significant difference between the classes of residents (p =.745) or relationship between the residents' PICU experiences and their exam scores (p =.766). There was no significant difference between residents' levels of training and whether they double-checked their calculations (p =.633) or considered each patient's weight relative to the dose prescribed (p =.869). Seven residents committed tenfold dosing errors, and one resident committed a 1,000-fold dosing error. Pediatrics residents need to receive additional education in performing the calculations needed to prescribe medications. In addition, residents should be required to demonstrate these necessary mathematical skills before they are allowed to prescribe medications.

  16. Profile of mathematical reasoning ability of 8th grade students seen from communicational ability, basic skills, connection, and logical thinking

    Science.gov (United States)

    Sumarsih; Budiyono; Indriati, D.

    2018-04-01

    This research aims to understand the students’ weaknesses in mathematical reasoning ability in junior secondary school. A set of multiple choice tests were used to measure this ability involve components mathematical communication, basic skills, connection, and logical thinking. A total of 259 respondents were determined by stratified cluster random sampling. Data were analyzed using one-way Anova test with Fobs = 109.5760 and F = 3.0000. The results show that students’ ability from schools with high National Exam in mathematics category was the best and followed by medium and low category. Mathematical connection is the most difficult component performed by students. In addition, most students also have difficulty in expressing ideas and developing logical arguments.

  17. Setting the Stage with Geometry: Lessons & Worksheets to Build Skills in Measuring Perimeter, Area, Surface Area, and Volume. Poster/Teaching Guide. Expect the Unexpected with Math[R

    Science.gov (United States)

    Actuarial Foundation, 2013

    2013-01-01

    "Setting the Stage with Geometry" is a new math program aligned with the National Council of Teachers of Mathematics (NCTM) standards that is designed to help students in grades 6-8 build and reinforce basic geometry skills for measuring 2D and 3D shapes. Developed by The Actuarial Foundation, this program seeks to provide skill-building math…

  18. Mobile learning to improve mathematics teachers mathematical competencies

    Science.gov (United States)

    Hendrayana, A.; Wahyudin

    2018-01-01

    The role of teachers is crucial to the success of mathematics learning. One of the learning indicator is characterized by the students’ improved mathematical proficiency. In order to increase that, it is necessary to improve the teacher’s mathematical skills first. For that, it needs an innovative way to get teachers close to easily accessible learning resources through technology. The technology can facilitate teachers to access learning resources anytime and anywhere. The appropriate information technology is mobile learning. Innovations that can make teachers easy to access learning resources are mobile applications that can be accessed anytime and anywhere either online or offline. The research method was research development method. In preliminary analysis, subjects consist of teachers and lecturers in professional teacher education program. The results that the teachers ready to adopt mobile-learning for the improvement of their skills.

  19. Relationships of Mathematics Anxiety, Mathematics Self-Efficacy and Mathematics Performance of Adult Basic Education Students

    Science.gov (United States)

    Watts, Beverly Kinsey

    2011-01-01

    Competent mathematical skills are needed in the workplace as well as in the college setting. Adults in Adult Basic Education classes and programs generally perform below high school level competency, but very few studies have been performed investigating the predictors of mathematical success for adults. The current study contributes to the…

  20. Remedial mathematics for quantum chemistry

    NARCIS (Netherlands)

    Koopman, L.; Brouwer, N.; Heck, A.; Buma, W.J.

    2008-01-01

    Proper mathematical skills are important for every science course and mathematics-intensive chemistry courses rely on a sound mathematical pre-knowledge. In the first-year quantum chemistry course at this university, it was noticed that many students lack basic mathematical knowledge. To tackle the

  1. The contribution of spatial ability to mathematics achievement in middle childhood.

    Science.gov (United States)

    Gilligan, Katie A; Flouri, Eirini; Farran, Emily K

    2017-11-01

    Strong spatial skills are associated with success in science, technology, engineering, and mathematics (STEM) domains. Although there is convincing evidence that spatial skills are a reliable predictor of mathematical achievement in preschool children and in university students, there is a lack of research exploring associations between spatial and mathematics achievement during the primary school years. To address this question, this study explored associations between mathematics and spatial skills in children aged 5 and 7years. The study sample included 12,099 children who participated in both Wave 3 (mean age=5; 02 [years; months]) and Wave 4 (mean age=7; 03) of the Millennium Cohort Study. Measures included a standardised assessment of mathematics and the Pattern Construction subscale of the British Ability Scales II to assess intrinsic-dynamic spatial skills. Spatial skills at 5 and 7years of age explained a significant 8.8% of the variation in mathematics achievement at 7years, above that explained by other predictors of mathematics, including gender, socioeconomic status, ethnicity, and language skills. This percentage increased to 22.6% without adjustment for language skills. This study expands previous findings by using a large-scale longitudinal sample of primary school children, a population that has been largely omitted from previous research exploring associations between spatial ability and mathematics achievement. The finding that early and concurrent spatial skills contribute to mathematics achievement at 7years of age highlights the potential of spatial skills as a novel target in the design of mathematics interventions for children in this age range. Crown Copyright © 2017. Published by Elsevier Inc. All rights reserved.

  2. Engineering mathematics

    CERN Document Server

    Stroud, K A

    2013-01-01

    A groundbreaking and comprehensive reference that's been a bestseller since it first debuted in 1970, the new seventh edition of Engineering Mathematics has been thoroughly revised and expanded. Providing a broad mathematical survey, this innovative volume covers a full range of topics from the very basic to the advanced. Whether you're an engineer looking for a useful on-the-job reference or want to improve your mathematical skills, or you are a student who needs an in-depth self-study guide, Engineering Mathematics is sure to come in handy time and time again.

  3. The variability in the effect of additional education on different mathematics skills in primary school - A regression discontinuity analysis

    NARCIS (Netherlands)

    Bartelet, D.; Haelermans, C.; Groot, W.; Maassen van den Brink, H.

    2013-01-01

    This paper explores the variability in the effect of an additional year of education on different basic mathematical skills, which are taught to children and explicitly repeated at different points in time during elementary school. In addition, the role of child specific characteristics and the role

  4. The Comparison of the Effectiveness of Cognitive and Cognitive-Metacognitive Strategies based on Mathematical Problem-Solving Skills on 9th Grade Girl Students with Intellectual Disability

    Directory of Open Access Journals (Sweden)

    Seyyedeh Somayyeh Jalil-Abkenar

    2012-01-01

    Full Text Available Objective: The purpose of present research was the comparison of the effectiveness of cognitive & cognitive-metacognitive strategies based on mathematical problem-solving skills on 9th grade girl students with intellectual disability in Tehran Province. Materials & Methods: The research is an experimental, comparing pre-test and post-test data. The participants were chosen by cluster sampling from three schools three districts of Tehran Province (Gharchak, Shahrerey and Shahryar. Fifteen female students with Intellectual disability were assigned from each school and they were divided into three, one control and two experiment groups. For experimental groups students cognitive & cognitive-metacognitive strategies were taught in the 15 instructional sessions, but the control group students did not receive none of strategies in the same sessions. The instruments consist of Wechsler intelligence test was used for matching the groups in terms of IQ, a teacher performed the tests for mathematical problem-solving and instructional pakage of cognitive and cognitive-metacognitive strategies. The data analysis was done by using descriptive statistics (mean, standard deviation and frequency table and ANCOVA. Results: The findings of this research showed that there was significant increasing in mathematical problem-solving skills in the group receiving cognitive-metacognitive strategies in comparison with the cognitive group (P<0.005 and control group (P<0.001. Beside, the mean difference of the cognitive group was significantly more than the control group (P<0.003. Conclusion: The mathematical problem-solving skill of the students have been improved through cognitive-metacognitive and cognitive strategies. Also, the instruction of cognitive-metacognitive strategies, in compared with cognitive strategy caused more improvement on the performance of mathematical problem-solving skills.

  5. Reorganizing Freshman Business Mathematics II: Authentic Assessment in Mathematics through Professional Memos

    Science.gov (United States)

    Green, Kris; Emerson, Allen

    2008-01-01

    The first part of this two-part paper [see EJ787497] described the development of a new freshman business mathematics (FBM) course at our college. In this paper, we discuss our assessment tool, the business memo, as a venue for students to apply mathematical skills, via mathematical modelling, to realistic business problems. These memos have…

  6. Glogs as Non-Routine Problem Solving Tools in Mathematics

    Science.gov (United States)

    Devine, Matthew T.

    2013-01-01

    In mathematical problem solving, American students are falling behind their global peers because of a lack of foundational and reasoning skills. A specific area of difficulty with problem solving is working non-routine, heuristic-based problems. Many students are not provided with effective instruction and often grow frustrated and dislike math.…

  7. Consumer Citizenship Curriculum Guides for Social Studies, English, Science, Mathematics.

    Science.gov (United States)

    MacKenzie, Louise; Smith, Alice

    These four consumer citizenship curriculum guides for social studies, English, science, and mathematics incorporate consumer education into these subject matter areas in grades 8-12. Each guide is organized around 10 main component/goals. They are basic economics in the marketplace, credit, consumer law/protection, banking skills, comparison…

  8. Investigation of the Effects of Mathematical Thinking States of Form Teachers on Their Mathematics Teaching Anxieties

    Science.gov (United States)

    Yorulmaz, Alper; Altintas, Sedat; Sidekli, Sabri

    2017-01-01

    The state of mathematical thinking is considered to have an effect on the formation of anxiety regarding teaching mathematics. It is hypothesized that with the formation of mathematical thinking, the anxiety in teachers regarding teaching mathematics will be reduced. Since mathematical thinking is a skill acquired starting from the early years of…

  9. Utah's New Mathematics Core

    Science.gov (United States)

    Utah State Office of Education, 2011

    2011-01-01

    Utah has adopted more rigorous mathematics standards known as the Utah Mathematics Core Standards. They are the foundation of the mathematics curriculum for the State of Utah. The standards include the skills and understanding students need to succeed in college and careers. They include rigorous content and application of knowledge and reflect…

  10. Applying an alternative mathematics pedagogy for students with weak mathematics: meta-analysis of alternative pedagogies

    Science.gov (United States)

    Lake, Warren; Wallin, Margie; Woolcott, Geoff; Boyd, Wendy; Foster, Alan; Markopoulos, Christos; Boyd, William

    2017-02-01

    Student mathematics performance and the need for work-ready graduates to be mathematics-competent is a core issue for many universities. While both student and teacher are responsible for learning outcomes, there is a need to explicitly acknowledge the weak mathematics foundation of many university students. A systematic literature review was undertaken of identified innovations and/or interventions that may lead to improvement in student outcomes for university mathematics-based units of study. The review revealed the importance of understanding the foundations of student performance in higher education mathematics learning, especially in first year. Pre-university mathematics skills were identified as significant in student retention and mathematics success at university, and a specific focus on student pre-university mathematics skill level was found to be more effective in providing help, rather than simply focusing on a particular at-risk group. Diagnostics tools were found to be important in identifying (1) student background and (2) appropriate intervention. The studies highlighted the importance of appropriate and validated interventions in mathematics teaching and learning, and the need to improve the learning model for mathematics-based subjects, communication and technology innovations.

  11. The Effects of Computer Programming on High School Students' Reasoning Skills and Mathematical Self-Efficacy and Problem Solving

    Science.gov (United States)

    Psycharis, Sarantos; Kallia, Maria

    2017-01-01

    In this paper we investigate whether computer programming has an impact on high school student's reasoning skills, problem solving and self-efficacy in Mathematics. The quasi-experimental design was adopted to implement the study. The sample of the research comprised 66 high school students separated into two groups, the experimental and the…

  12. The Education of Mathematics

    Directory of Open Access Journals (Sweden)

    Abu Darda

    2016-01-01

    Full Text Available The objective of mathematics education is not only preparingmathematicians but making well-informed citizens. This is a broad generalterms for objective of the teaching of mathematics. And, this might beimplemented as “accurate thorough knowledge” or “original logicalthinking”. So, teaching mathematics is not the conversation andtransmission of mathematical knowledge, but on the aim of preparing wellinformedcitizens trained in independent, critical thinking.By the mathematics, sciences become simple, clearer, and easier to bedeveloped. The mathematics is often applied for solving any problem ofother field of sciences, either in the physics such as astronomy, chemistry,technique; or social sciences such as economy, demography, and assurance.Those all need an analysis reading ability.Mathematical skill, therefore, relates strongly with the analysisreading ability in the human intellectual structure. This study is about therelationship between them. And, result of the study shows us as below:Both Mathematical skill and analysis reading ability possess the “high type”of thinking operation. Both also involve the same content of the abstractintelligent, i.e. symbolic and semantic contents. Last but not least, both alsouse the same product of thinking, i.e. units, classes, relations, and systems.Both can be transformed and have an implication.

  13. Causal Bayes Model of Mathematical Competence in Kindergarten

    Directory of Open Access Journals (Sweden)

    Božidar Tepeš

    2016-06-01

    Full Text Available In this paper authors define mathematical competences in the kindergarten. The basic objective was to measure the mathematical competences or mathematical knowledge, skills and abilities in mathematical education. Mathematical competences were grouped in the following areas: Arithmetic and Geometry. Statistical set consisted of 59 children, 65 to 85 months of age, from the Kindergarten Milan Sachs from Zagreb. The authors describe 13 variables for measuring mathematical competences. Five measuring variables were described for the geometry, and eight measuring variables for the arithmetic. Measuring variables are tasks which children solved with the evaluated results. By measuring mathematical competences the authors make causal Bayes model using free software Tetrad 5.2.1-3. Software makes many causal Bayes models and authors as experts chose the model of the mathematical competences in the kindergarten. Causal Bayes model describes five levels for mathematical competences. At the end of the modeling authors use Bayes estimator. In the results, authors describe by causal Bayes model of mathematical competences, causal effect mathematical competences or how intervention on some competences cause other competences. Authors measure mathematical competences with their expectation as random variables. When expectation of competences was greater, competences improved. Mathematical competences can be improved with intervention on causal competences. Levels of mathematical competences and the result of intervention on mathematical competences can help mathematical teachers.

  14. Improving ability mathematic literacy, self-efficacy and reducing mathematical anxiety with learning Treffinger model at senior high school students

    Directory of Open Access Journals (Sweden)

    Hafizh Nizham

    2017-12-01

    Full Text Available This study is a Quasi Experimental study with the design of The Pretest-Post-Test Non-Equivalent Group Design. Population in this research is all student of class X SHS in South Jakarta. Sampling is done by purposive sampling, to obtain an experimental class and control class. In the experimental class, students learn with Treffinger learning model and control, class learning with conventional learning. This study is also to examine the differences of self-efficacy improvement and students literacy skills, and decreased students' mathematical anxiety. Also, this study also examines the relevance of early mathematical abilities (high, medium, low with improving students' math literacy skills. The instrument used in this research is literacy skill test, self-efficacy scale, mathematical anxiety scale, observation sheet, and student interview. Data were analyzed by t-test, one-way ANOVA, and two lines. From the results of the data, it is found that: (1 The improvement of literacy ability of students who are learned with Treffinger model learning is not significantly higher than students who learn with conventional. (2 The self-efficacy of students who learning with the Treffinger model learning  is better than the student that is learning by conventional. (3 The mathematical anxiety of students learning with Treffinger model learning reduces better than students learning with conventional. (4 There is a difference in the improvement of students' mathematical literacy skills learning by learning the Treffinger model and students learning with conventional learning based on early mathematical abilities. (5 Student response to Treffinger model learning is better than students learning with conventional learning. Therefore, learning model Treffinger can be an alternative model of learning to improve students' mathematical literacy skills, and self-efficacy students, and able to reduce mathematical anxiety.

  15. Early Career Mathematics Teachers' General Pedagogical Knowledge and Skills: Do Teacher Education, Teaching Experience, and Working Conditions Make a Difference?

    Science.gov (United States)

    König, Johannes; Blömeke, Sigrid; Kaiser, Gabriele

    2015-01-01

    We examined several facets of general pedagogical knowledge and skills of early career mathematics teachers, asking how they are associated with characteristics of teacher education, teaching experience, and working conditions. Declarative general pedagogical knowledge (GPK) was assessed via a paper-and-pencil test, while early career teachers'…

  16. Mathematics for physical chemistry

    CERN Document Server

    Mortimer, Robert G

    2013-01-01

    Mathematics for Physical Chemistry is the ideal supplementary text for practicing chemists and students who want to sharpen their mathematics skills while enrolled in general through physical chemistry courses. This book specifically emphasizes the use of mathematics in the context of physical chemistry, as opposed to being simply a mathematics text. This 4e includes new exercises in each chapter that provide practice in a technique immediately after discussion or example and encourage self-study. The early chapters are constructed around a sequence of mathematical topics, wit

  17. Meaning in mathematics

    CERN Document Server

    2011-01-01

    Is mathematics a highly sophisticated intellectual game in which the adepts display their skill by tackling invented problems, or are mathematicians engaged in acts of discovery as they explore an independent realm of mathematical reality? Why does this seemingly abstract discipline provide the key to unlocking the deep secrets of the physical universe? How one answers these questions will significantly influence metaphysical thinking about reality. This book is intended to fill a gap between popular 'wonders of mathematics' books and the technical writings of the philosophers of mathematics.

  18. A case study of pedagogy of mathematics support tutors without a background in mathematics education

    Science.gov (United States)

    Walsh, Richard

    2017-01-01

    This study investigates the pedagogical skills and knowledge of three tertiary-level mathematics support tutors in a large group classroom setting. This is achieved through the use of video analysis and a theoretical framework comprising Rowland's Knowledge Quartet and general pedagogical knowledge. The study reports on the findings in relation to these tutors' provision of mathematics support to first and second year undergraduate engineering students and second year undergraduate science students. It was found that tutors are lacking in various pedagogical skills which are needed for high-quality learning amongst service mathematics students (e.g. engineering/science/technology students), a demographic which have low levels of mathematics upon entering university. Tutors teach their support classes in a very fast didactic way with minimal opportunities for students to ask questions or to attempt problems. It was also found that this teaching method is even more so exaggerated in mandatory departmental mathematics tutorials that students take as part of their mathematics studies at tertiary level. The implications of the findings on mathematics tutor training at tertiary level are also discussed.

  19. Mathematical Performance: What's in It for Developmental Educators?

    Science.gov (United States)

    Garofalo, Joe

    1985-01-01

    Points out that successful mathematical performance depends not only on declarative and procedural content knowledge, but also upon mathematical thinking skills such as problem-schema knowledge, decision-making skills, and metacognitive knowledge. Argues that the growing need for remediation should influence schools' traditional overemphasis on…

  20. A Primer for Mathematical Modeling

    Science.gov (United States)

    Sole, Marla

    2013-01-01

    With the implementation of the National Council of Teachers of Mathematics recommendations and the adoption of the Common Core State Standards for Mathematics, modeling has moved to the forefront of K-12 education. Modeling activities not only reinforce purposeful problem-solving skills, they also connect the mathematics students learn in school…

  1. Teacher's Ability to Develop Learning Materials Potentially Mathematical Discourse

    Directory of Open Access Journals (Sweden)

    Hamdani Hamdani

    2017-10-01

    Full Text Available In the process of learning in the field, the teacher still dominates the conversation while the students as a passive listener. As a result, not only the communication skills of students who are less developed, the understanding of student material is also lacking. Therefore it is necessary to research the ability of teachers in developing learning tools potentially mathematical discourse to improve students' mathematical communication skills. The research method used is descriptive. Research activities include: identification of problems through questionnaires, observation, and interviews; teacher training; teachers develop learning tools; validation; and enhancement of the device by the teacher. The subject of this research is the junior high school mathematics teacher from several districts in the border area of Sambas-Sarawak Regency. The results show that in every learning mathematics there is always a conversation between teachers and students, but rarely use the question "why" and "how". Most teacher-made lesson plans contain scenarios of conversations between teachers and students, but just plain questioning, have not led to a debate between each other so that understanding becomes deeper. Student worksheet made by the teacher in the form of a matter of the ordinary story, rarely load non-routine problem let alone open-ended.

  2. What's Past Is Prologue: Relations between Early Mathematics Knowledge and High School Achievement

    Science.gov (United States)

    Watts, Tyler W.; Duncan, Greg J.; Siegler, Robert S.; Davis-Kean, Pamela E.

    2014-01-01

    Although previous research has established the association between early-grade mathematics knowledge and later mathematics achievement, few studies have measured mathematical skills prior to school entry, and few have investigated the predictive power of early gains in mathematics ability. The current paper relates mathematical skills measured at…

  3. What's Past is Prologue: Relations Between Early Mathematics Knowledge and High School Achievement.

    Science.gov (United States)

    Watts, Tyler W; Duncan, Greg J; Siegler, Robert S; Davis-Kean, Pamela E

    2014-10-01

    Although previous research has established the association between early-grade mathematics knowledge and later mathematics achievement, few studies have measured mathematical skills prior to school entry, nor have they investigated the predictive power of early gains in mathematics ability. The current paper relates mathematical skills measured at 54 months to adolescent mathematics achievement using multi-site longitudinal data. We find that preschool mathematics ability predicts mathematics achievement through age 15, even after accounting for early reading, cognitive skills, and family and child characteristics. Moreover, we find that growth in mathematical ability between age 54 months and first grade is an even stronger predictor of adolescent mathematics achievement. These results demonstrate the importance of pre-kindergarten mathematics knowledge and early math learning for later achievement.

  4. SIGNIFICANCE OF EARLY-AGE LEARNING OF MATHEMATICAL SKILLS

    Directory of Open Access Journals (Sweden)

    Sead Rešić

    2011-12-01

    Full Text Available It is a fact that only hereditary, i.e. genetic factors are not sufficient for development of a child’s brain; on the contrary, a child needs external stimuli expressed through touch, speech, images, which lead to the conclusion that immediate and extended surroundings shape the brain, meaning that the external stimuli, stronger or weaker, mutually connect the brain cells and neurons. Questions regarding the development of mathematical manner of thinking are mostly based on the natural process of learning, however, this paper deals with deeper set of problems, which are not only difficult to resolve but possibly there is no resolution. Namely, a question is posed what is the appropriate age when a child is ready and able to solve certain mathematical problems or notice mathematical principles, that is, whether they are actually exist clearly defined age boundaries based on which a conclusion could be made about the time and individual is ready to solve mathematical problems of a concrete difficulty level or to notice mathematical laws.

  5. Fundamental concepts of mathematics

    CERN Document Server

    Goodstein, R L

    Fundamental Concepts of Mathematics, 2nd Edition provides an account of some basic concepts in modern mathematics. The book is primarily intended for mathematics teachers and lay people who wants to improve their skills in mathematics. Among the concepts and problems presented in the book include the determination of which integral polynomials have integral solutions; sentence logic and informal set theory; and why four colors is enough to color a map. Unlike in the first edition, the second edition provides detailed solutions to exercises contained in the text. Mathematics teachers and people

  6. Using Sorting Networks for Skill Building and Reasoning

    Science.gov (United States)

    Andre, Robert; Wiest, Lynda R.

    2007-01-01

    Sorting networks, used in graph theory, have instructional value as a skill- building tool as well as an interesting exploration in discrete mathematics. Students can practice mathematics facts and develop reasoning and logic skills with this topic. (Contains 4 figures.)

  7. Development of Learning Devices through Problem Based Learning Model Based on the Context of Aceh Cultural to Improve Mathematical Communication Skills and Social Skills of SMPN 1 Muara Batu Students

    Science.gov (United States)

    Aufa, Mahrani; Saragih, Sahat; Minarni, Ani

    2016-01-01

    The purposes of this study were:1) Developed problem-based on learning tools in the cultural context of Aceh (PBM-BKBA) who meet the criteria are valid, practical and effective; 2) Described the improvement of communication capabilities mathematics and social skills of students using the PBM-BKBA developed; and 3) Described the process of student…

  8. Fostering Early Numerical Skills at School Start in Children at Risk for Mathematical Achievement Problems: A Small Sample Size Training Study

    Science.gov (United States)

    Hasselhorn, Marcus; Linke-Hasselhorn, Kathrin

    2013-01-01

    Eight six-year old German children with development disabilities regarding such number competencies as have been demonstrated to be among the most relevant precursor skills for the acquisition of elementary mathematics received intensive training with the program "Mengen, zählen, Zahlen" ["quantities, counting, numbers"] (MZZ,…

  9. Mathematical problems for chemistry students

    CERN Document Server

    Pota, Gyorgy

    2011-01-01

    Mathematical Problems for Chemistry Students has been compiled and written (a) to help chemistrystudents in their mathematical studies by providing them with mathematical problems really occurring in chemistry (b) to help practising chemists to activate their applied mathematical skills and (c) to introduce students and specialistsof the chemistry-related fields (physicists, mathematicians, biologists, etc.) intothe world of the chemical applications.Some problems of the collection are mathematical reformulations of those in the standard textbooks of chemistry, others we

  10. Finite mathematics models and applications

    CERN Document Server

    Morris, Carla C

    2015-01-01

    Features step-by-step examples based on actual data and connects fundamental mathematical modeling skills and decision making concepts to everyday applicability Featuring key linear programming, matrix, and probability concepts, Finite Mathematics: Models and Applications emphasizes cross-disciplinary applications that relate mathematics to everyday life. The book provides a unique combination of practical mathematical applications to illustrate the wide use of mathematics in fields ranging from business, economics, finance, management, operations research, and the life and social sciences.

  11. Using Virtual Manipulative Instruction to Teach the Concepts of Area and Perimeter to Secondary Students with Learning Disabilities

    Science.gov (United States)

    Satsangi, Rajiv; Bouck, Emily C.

    2015-01-01

    Secondary students with a learning disability in mathematics often struggle with the academic demands presented in advanced mathematics courses, such as algebra and geometry. With greater emphasis placed on problem solving and higher level thinking skills in these subject areas, students with a learning disability in mathematics often fail to keep…

  12. From Biology to Mathematical Models and Back: Teaching Modeling to Biology Students, and Biology to Math and Engineering Students

    Science.gov (United States)

    Chiel, Hillel J.; McManus, Jeffrey M.; Shaw, Kendrick M.

    2010-01-01

    We describe the development of a course to teach modeling and mathematical analysis skills to students of biology and to teach biology to students with strong backgrounds in mathematics, physics, or engineering. The two groups of students have different ways of learning material and often have strong negative feelings toward the area of knowledge…

  13. Teaching Preschoolers to Count: Effective Strategies for Achieving Early Mathematics Milestones

    Science.gov (United States)

    Jacobi-Vessels, Jill L.; Brown, E. Todd; Molfese, Victoria J.; Do, Ahn

    2016-01-01

    Attention to early childhood mathematics instructional strategies has sharpened due to the relatively poor mathematics performance of U.S. students in comparison to students from other countries and research evidence that early mathematics skills impact later achievement. Early Childhood counting skills form the foundation for subsequent…

  14. What’s Past is Prologue: Relations Between Early Mathematics Knowledge and High School Achievement

    Science.gov (United States)

    Watts, Tyler W.; Duncan, Greg J.; Siegler, Robert S.; Davis-Kean, Pamela E.

    2015-01-01

    Although previous research has established the association between early-grade mathematics knowledge and later mathematics achievement, few studies have measured mathematical skills prior to school entry, nor have they investigated the predictive power of early gains in mathematics ability. The current paper relates mathematical skills measured at 54 months to adolescent mathematics achievement using multi-site longitudinal data. We find that preschool mathematics ability predicts mathematics achievement through age 15, even after accounting for early reading, cognitive skills, and family and child characteristics. Moreover, we find that growth in mathematical ability between age 54 months and first grade is an even stronger predictor of adolescent mathematics achievement. These results demonstrate the importance of pre-kindergarten mathematics knowledge and early math learning for later achievement. PMID:26806961

  15. Future Directions for The Math You Need, When You Need It: Adaptation and Implementation of Online Student-Centered Tutorials that Remediate Introductory Geoscience-Related Mathematical Skills

    Science.gov (United States)

    Wenner, J. M.; Burn, H.; Baer, E. M.

    2009-12-01

    Requiring introductory geoscience students to apply mathematical concepts and solve quantitative problems can be an arduous task because these courses tend to attract students with diverse levels of mathematical preparedness. Perhaps more significantly, geoscience instructors grapple with quantitative content because of the difficulties students have transferring their prior mathematical learning to common geological problems. As a result, instructors can choose to eliminate the mathematics, spend valuable class time teaching basic mathematical skills or let students flounder in the hope that they will learn on their own. None of these choices are ideal. Instead, research suggests that introductory geoscience courses are opportune places to increase students’ quantitative abilities but that students need effective support at their own skill level. To provide such support, we developed The Math You Need, When You Need It (TMYN): a set of online geoscience context-rich tutorials that students complete just before they encounter a mathematical or numerical skill in their introductory course. The tutorials are modular; each mathematical topic has a set of pages that students work through toward a final assessment. The 11 modules currently available, including unit conversions, graphing, calculating density, and rearranging equations, touch on quantitative topics that cross a number of geologic contexts. TMYN modules are designed to be stand-alone and flexible - faculty members can choose modules appropriate for their courses and implement them at any time throughout the term. The flexible and adaptable nature of TMYN enables faculty to provide a supportive learning environment that remediates math for those who need it without taking significant classroom time. Since spring 2008, seven instructors at Highline Community College and University of Wisconsin Oshkosh successfully implemented TMYN in six geoscience courses with diverse student audiences. Evaluation of

  16. Medication calculation skills of graduating nursing students in Finland.

    Science.gov (United States)

    Grandell-Niemi, H; Hupli, M; Leino-Kilpi, H

    2001-01-01

    The aim of this study was to describe the basic mathematical proficiency and the medication calculation skills of graduating nursing students in Finland. A further concern was with how students experienced the teaching of medication calculation. We wanted to find out whether these experiences were associated with various background factors and the students' medication calculation skills. In spring 1997 the population of graduating nursing students in Finland numbered around 1280; the figure for the whole year was 2640. A convenience sample of 204 students completed a questionnaire specially developed for this study. The instrument included structured questions, statements and a medication calculation test. The response rate was 88%. Data analysis was based on descriptive statistics. The students found it hard to learn mathematics and medication calculation skills. Those who evaluated their mathematical and medication calculation skills as sufficient successfully solved the problems included in the questionnaire. It was felt that the introductory course on medication calculation was uninteresting and poorly organised. Overall the students' mathematical skills were inadequate. One-fifth of the students failed to pass the medication calculation test. A positive correlation was shown between the student's grade in mathematics (Sixth Form College) and her skills in medication calculation.

  17. Understanding engineering mathematics

    CERN Document Server

    Cox, Bill

    2001-01-01

    * Unique interactive style enables students to diagnose their strengths and weaknesses and focus their efforts where needed* Ideal for self-study and tutorial work, building from an initially supportive approach to the development of independent learning skills * Free website includes solutions to all exercises, additional topics and applications, guide to learning mathematics, and practice materialStudents today enter engineering courses with a wide range of mathematical skills, due to the many different pre-university qualifications studied. Bill Cox''s aim is for students to gain a thorough understanding of the maths they are studying, by first strengthening their background in the essentials of each topic. His approach allows a unique self-paced study style, in which students Review their strengths and weaknesses through self-administered diagnostic tests, then focus on Revision where they need it, to finally Reinforce the skills required.The book is structured around a highly successful ''transition'' ma...

  18. Soundoff: Mathematics Is Getting Easier.

    Science.gov (United States)

    Usiskin, Zalman

    1984-01-01

    Teaching mathematics in hard ways, rather than using easier methods or technology, is described. Employing the most efficient means possible to solve a problem is the essence of good mathematics, rather than wasting time in practicing obsolete skills. (MNS)

  19. The use of isiXhosa children’s poetry as a tool to integrate literacy, mathematics and life skills in Foundation Phase: Grade R-3

    Directory of Open Access Journals (Sweden)

    Nozuko Gxekwa

    2017-12-01

    Full Text Available Literature helps us understand and make sense of the world around us. It is a part of education, which broadens one’s mind about how to understand, transfer knowledge and provide meaningful and authentic learning. Thus, this article aims to highlight how some elements of isiXhosa children’s poetry can be used to help pre-service teachers to teach and integrate mathematics and life skills with literacy in Foundation Phase (FP. This approach of using poems for integration strengthens concepts and skills in more than one subject area. The theoretical framework that informed the article is integrative learning. The data in this article were generated through non-participant classroom observations and non-structured interviews with the participants of the study and the researchers adopted the interpretative phenomenological analysis method for data analysis. This article was prompted by findings of lack of understanding of integrative teaching and learning and lack of teaching resources in isiXhosa to enhance integrative teaching and learning in FP intervention undertaken with 25 first year isiXhosa-speaking FP students.

  20. The mathematics of games

    CERN Document Server

    Beasley, John D

    2006-01-01

    ""Mind-exercising and thought-provoking.""-New ScientistIf playing games is natural for humans, analyzing games is equally natural for mathematicians. Even the simplest of games involves the fundamentals of mathematics, such as figuring out the best move or the odds of a certain chance event. This entertaining and wide-ranging guide demonstrates how simple mathematical analysis can throw unexpected light on games of every type-games of chance, games of skill, games of chance and skill, and automatic games.Just how random is a card shuffle or a throw of the dice? Is bluffing a valid poker strat

  1. Teaching mathematics online in the European Area of Higher Education: an instructor's point of view

    Science.gov (United States)

    Juan, Angel A.; Steegmann, Cristina; Huertas, Antonia; Martinez, M. Jesus; Simosa, J.

    2011-03-01

    This article first discusses how information technologies are changing the way knowledge is delivered at universities worldwide. Then, the article reviews some of the most popular learning management systems available today and some of the most useful online resources in the areas of Mathematics and Statistics. After that, some long-term experiences regarding the teaching of online courses in those areas at the Open University of Catalonia are discussed. Finally, the article presents the results of a large-scale survey performed in Spain that aims to reflect instructors' opinions and feelings about potential benefits and challenges of teaching mathematics online, as well as the role of emergent technologies in the context of the European Area of Higher Education. Therefore, this article contributes to the existing literature as an additional reference point, one based on our long-term experience in a large-scale online environment, for discussions involving mathematical e-learning.

  2. Narrowing the Early Mathematics Gap: A Play-Based Intervention to Promote Low-Income Preschoolers’ Number Skills

    Directory of Open Access Journals (Sweden)

    Nicole R. Scalise

    2018-01-01

    Full Text Available Preschoolers from low-income households lag behind preschoolers from middle-income households on numerical skills that underlie later mathematics achievement. However, it is unknown whether these gaps exist on parallel measures of symbolic and non-symbolic numerical skills. Experiment 1 indicated preschoolers from low-income backgrounds were less accurate than peers from middle-income backgrounds on a measure of symbolic magnitude comparison, but they performed equivalently on a measure of non-symbolic magnitude comparison. This suggests activities linking non-symbolic and symbolic number representations may be used to support children’s numerical knowledge. Experiment 2 randomly assigned low-income preschoolers (Mean Age = 4.7 years to play either a numerical magnitude comparison or a numerical matching card game across four 15 min sessions over a 3-week period. The magnitude comparison card game led to significant improvements in participants’ symbolic magnitude comparison skills in an immediate posttest assessment. Following the intervention, low-income participants performed equivalently to an age- and gender-matched sample of middle-income preschoolers in symbolic magnitude comparison. These results suggest a brief intervention that combines non-symbolic and symbolic magnitude representations can support low-income preschoolers’ early numerical knowledge.

  3. The Empathizing-Systemizing Theory, Social Abilities, and Mathematical Achievement in Children.

    Science.gov (United States)

    Escovar, Emily; Rosenberg-Lee, Miriam; Uddin, Lucina Q; Menon, Vinod

    2016-03-14

    The Empathizing-Systemizing (E-S) theory describes a profile of traits that have been linked to autism spectrum disorders, and are thought to encompass a continuum that includes typically developing (TD) individuals. Although systemizing is hypothesized to be related to mathematical abilities, empirical support for this relationship is lacking. We examine the link between empathizing and systemizing tendencies and mathematical achievement in 112 TD children (57 girls) to elucidate how socio-cognitive constructs influence early development of mathematical skills. Assessment of mathematical achievement included standardized tests designed to examine calculation skills and conceptual mathematical reasoning. Empathizing and systemizing were assessed using the Combined Empathy Quotient-Child (EQ-C) and Systemizing Quotient-Child (SQ-C). Contrary to our hypothesis, we found that mathematical achievement was not related to systemizing or the discrepancy between systemizing and empathizing. Surprisingly, children with higher empathy demonstrated lower calculation skills. Further analysis using the Social Responsiveness Scale (SRS) revealed that the relationship between EQ-C and mathematical achievement was mediated by social ability rather than autistic behaviors. Finally, social awareness was found to play a differential role in mediating the relationship between EQ-C and mathematical achievement in girls. These results identify empathy, and social skills more generally, as previously unknown predictors of mathematical achievement.

  4. Combining project based learning with exercises in problem solving in order to train analytical mathematical skills

    DEFF Research Database (Denmark)

    Friesel, Anna

    2013-01-01

    This paper presents the contents and the teaching methods used in the fourth semester course - REG4E - an important subject in engineering, namely Control Theory and Dynamical Systems. Control Theory courses in engineering education are usually related to exercises in the laboratory or to projects....... However, in order to understand complexity of control systems, the students need to possess an analytical understanding of abstract mathematical problems. Our main goal is to illustrate the theory through the robot project, but at the same time we force our students to train their analytical skills...

  5. Higher engineering mathematics

    CERN Document Server

    John Bird

    2014-01-01

    A practical introduction to the core mathematics principles required at higher engineering levelJohn Bird's approach to mathematics, based on numerous worked examples and interactive problems, is ideal for vocational students that require an advanced textbook.Theory is kept to a minimum, with the emphasis firmly placed on problem-solving skills, making this a thoroughly practical introduction to the advanced mathematics engineering that students need to master. The extensive and thorough topic coverage makes this an ideal text for upper level vocational courses. Now in

  6. What’s Past is Prologue: Relations Between Early Mathematics Knowledge and High School Achievement

    OpenAIRE

    Watts, Tyler W.; Duncan, Greg J.; Siegler, Robert S.; Davis-Kean, Pamela E.

    2014-01-01

    © 2014 AERA. Although previous research has established the association between early-grade mathematics knowledge and later mathematics achievement, few studies have measured mathematical skills prior to school entry, and few have investigated the predictive power of early gains in mathematics ability. The current paper relates mathematical skills measured at 54 months to adolescent mathematics achievement using multisite longitudinal data. We find that preschool mathematics ability predicts ...

  7. THE DEVELOPMENT OF ELECTRONIC TEACHING MATERIALS BY FLIPBOOK ASSISTANCE BASED PROBLEM SOLVING SKILL WITH CTL APPROACH ON LEARNING MATHEMATICS CLASS V

    Directory of Open Access Journals (Sweden)

    RUSNILAWATI Eva Gustiana RUSNILAWATI

    2018-01-01

    Full Text Available The purpose of this research is to produce Flipbook-based Electronic Teaching Materials (BAE based on problem solving skills with CTL Approach on Vocational School Class V learning valid, practical, and effective. This type of research is development research (Development Research. This research developed Flipbook-assisted Electronic Teaching Materials (BAE on the mathematics learning of Class V Primary School by using the 4-D development model developed by Thiagarajan, Semmel, and Semmel. The validation results show that the developed Teaching Materials are worthy of use with a good minimum category. The results of the experiments show that Electronic Materials developed are practical and effective. Completed learning in the classical has reached the minimum criteria of 75% that is for problem-solving test reached 86%. Based on a questionnaire of attitudes toward mathematics, 88% of students showed an increase in attitude scores on mathematics, and 85% of students showed attitudes toward mathematics with a good minimum category.

  8. Mathematics and communication skills using educational software in math classes

    Directory of Open Access Journals (Sweden)

    Marjolis Laffita-Cuza

    2017-04-01

    Full Text Available The current transformations conceive among others, to form in the race of Mathematics-Physics a professor who imparts indistinctly the subjects of Mathematics and Physics in the upper secondary education from the third year of this race which requires putting more emphasis in the orientation of those Subjects to achieve greater professionalism. The present paper approaches from the theoretical aspects the essential aspects in the educational process of the learning of mathematics for the Mathematics-Physics career of the university of pedagogical sciences such as mathematical communicative competences and the use of educational software, all in function of achieving A greater development of student's mathematical logical thinking.

  9. Speed mathematics secrets skills for quick calculation

    CERN Document Server

    Handley, Bill

    2011-01-01

    Using this book will improve your understanding of math and haveyou performing like a genius!People who excel at mathematics use better strategies than the restof us; they are not necessarily more intelligent.Speed Mathematics teaches simple methods that will enable you tomake lightning calculations in your head-including multiplication,division, addition, and subtraction, as well as working withfractions, squaring numbers, and extracting square and cube roots.Here's just one example of this revolutionary approach to basicmathematics:96 x 97 =Subtract each number from 100.96 x 97 =4 3Subtract

  10. The Association between Mathematical Word Problems and Reading Comprehension

    Science.gov (United States)

    Vilenius-Tuohimaa, Piia Maria; Aunola, Kaisa; Nurmi, Jari-Erik

    2008-01-01

    This study aimed to investigate the interplay between mathematical word problem skills and reading comprehension. The participants were 225 children aged 9-10 (Grade 4). The children's text comprehension and mathematical word problem-solving performance was tested. Technical reading skills were investigated in order to categorise participants as…

  11. High school mathematics teachers' perspectives on the purposes of mathematical proof in school mathematics

    Science.gov (United States)

    Dickerson, David S.; Doerr, Helen M.

    2014-12-01

    Proof serves many purposes in mathematics. In this qualitative study of 17 high school mathematics teachers, we found that these teachers perceived that two of the most important purposes for proof in school mathematics were (a) to enhance students' mathematical understanding and (b) to develop generalized thinking skills that were transferable to other fields of endeavor. We found teachers were divided on the characteristics (or features) of proofs that would serve these purposes. Teachers with less experience tended to believe that proofs in the high school should adhere to strict standards of language and reasoning while teachers with more experience tended to believe that proofs based on concrete or visual features were well suited for high school mathematics. This study has implications for teacher preparation because it appears that there is a wide variation in how teachers think about proof. It seems likely that students would experience proof very differently merely because they were seated in different classrooms.

  12. Integration of Media Design Processes in Science, Technology, Engineering, and Mathematics (STEM) Education

    Science.gov (United States)

    Karahan, Engin; Canbazoglu Bilici, Sedef; Unal, Aycin

    2015-01-01

    Problem Statement: Science, technology, engineering and mathematics (STEM) education aims at improving students' knowledge and skills in science and math, and thus their attitudes and career choices in these areas. The ultimate goal in STEM education is to create scientifically literate individuals who can survive in the global economy. The…

  13. Teachers' Understanding of the Role of Executive Functions in Mathematics Learning.

    Science.gov (United States)

    Gilmore, Camilla; Cragg, Lucy

    2014-09-01

    Cognitive psychology research has suggested an important role for executive functions, the set of skills that monitor and control thought and action, in learning mathematics. However, there is currently little evidence about whether teachers are aware of the importance of these skills and, if so, how they come by this information. We conducted an online survey of teachers' views on the importance of a range of skills for mathematics learning. Teachers rated executive function skills, and in particular inhibition and shifting, to be important for mathematics. The value placed on executive function skills increased with increasing teaching experience. Most teachers reported that they were aware of these skills, although few knew the term "executive functions." This awareness had come about through their teaching experience rather than from formal instruction. Researchers and teacher educators could do more to highlight the importance of these skills to trainee or new teachers.

  14. Effect of a ball skill intervention on children's ball skills and cognitive functions

    NARCIS (Netherlands)

    Westendorp-Haverdings, Marieke; Houwen, Suzanne; Hartman, Esther; Mombarg, Remo; Smith, Joanne; Visscher, Chris

    Purpose: This study examined the effect of a 16-wk ball skill intervention on the ball skills, executive functioning (in terms of problem solving and cognitive flexibility), and in how far improved executive functioning leads to improved reading and mathematics performance of children with learning

  15. The Enhancement of Junior High School Students' Abilities in Mathematical Problem Solving Using Soft Skill-based Metacognitive Learning

    OpenAIRE

    Murni, Atma; Sabandar, Jozua; S. Kusumah, Yaya; Kartasamita, Bana Goerbana

    2013-01-01

    The aim of this study is to know the differences of enhancement in mathematical problem solving ability (MPSA) between the students who received soft skill- based metacognitive learning (SSML) with the students who got conventional learning (CL). This research is a quasi experimental design with pretest-postest control group. The population in this study is the students of Junior High School in Pekanbaru city. The sample consist of 135 students, 68 of them are from the high-level...

  16. Games for Mathematics Skill Practice.

    Science.gov (United States)

    Ludeman, Clinton; Sevier, Bonnie

    1982-01-01

    Multivision is designed to practice simple multiplication and division with one-digit numbers, and is played similarly to Sorry. Fraction Monopoly was designed to assist in practicing addition and subtraction skills with fractions, along with recognizing basic parts and matching numerals with pictorial representations, and is similar to Monopoly.…

  17. From biology to mathematical models and back: teaching modeling to biology students, and biology to math and engineering students.

    Science.gov (United States)

    Chiel, Hillel J; McManus, Jeffrey M; Shaw, Kendrick M

    2010-01-01

    We describe the development of a course to teach modeling and mathematical analysis skills to students of biology and to teach biology to students with strong backgrounds in mathematics, physics, or engineering. The two groups of students have different ways of learning material and often have strong negative feelings toward the area of knowledge that they find difficult. To give students a sense of mastery in each area, several complementary approaches are used in the course: 1) a "live" textbook that allows students to explore models and mathematical processes interactively; 2) benchmark problems providing key skills on which students make continuous progress; 3) assignment of students to teams of two throughout the semester; 4) regular one-on-one interactions with instructors throughout the semester; and 5) a term project in which students reconstruct, analyze, extend, and then write in detail about a recently published biological model. Based on student evaluations and comments, an attitude survey, and the quality of the students' term papers, the course has significantly increased the ability and willingness of biology students to use mathematical concepts and modeling tools to understand biological systems, and it has significantly enhanced engineering students' appreciation of biology.

  18. From Biology to Mathematical Models and Back: Teaching Modeling to Biology Students, and Biology to Math and Engineering Students

    Science.gov (United States)

    McManus, Jeffrey M.; Shaw, Kendrick M.

    2010-01-01

    We describe the development of a course to teach modeling and mathematical analysis skills to students of biology and to teach biology to students with strong backgrounds in mathematics, physics, or engineering. The two groups of students have different ways of learning material and often have strong negative feelings toward the area of knowledge that they find difficult. To give students a sense of mastery in each area, several complementary approaches are used in the course: 1) a “live” textbook that allows students to explore models and mathematical processes interactively; 2) benchmark problems providing key skills on which students make continuous progress; 3) assignment of students to teams of two throughout the semester; 4) regular one-on-one interactions with instructors throughout the semester; and 5) a term project in which students reconstruct, analyze, extend, and then write in detail about a recently published biological model. Based on student evaluations and comments, an attitude survey, and the quality of the students' term papers, the course has significantly increased the ability and willingness of biology students to use mathematical concepts and modeling tools to understand biological systems, and it has significantly enhanced engineering students' appreciation of biology. PMID:20810957

  19. Why Teach mathematics to Adults?

    DEFF Research Database (Denmark)

    Johansen, Lene Østergaard

    2008-01-01

    teachers. I distinguish analytically between three different discourses. The Political Discourse, The Curriculum Planner Discourse and The Mathematics Teachers Discourse. The discourses are analysed separately and I distinguish between explicit reasons and implicit reasons.       In the thesis I construct...... a framework or a tool for my analysis of the three discourses, which consists of three elements. I identify the explicit reasons asking the question "Why teach mathematics to adults?" to the texts of each discourse. To identify the implicit reasons, I assume that it is necessary to construct a need...... in all areas of life increases considerably with good (functional/basic) numeracy skills.    The analysis of the implicit reasons shows that the politicians construct a need for education through the way they talk about the demands of the labour market, the demands of the educational system, the demands...

  20. The relationship between learning mathematics and general cognitive ability in primary school.

    Science.gov (United States)

    Cowan, Richard; Hurry, Jane; Midouhas, Emily

    2018-06-01

    Three relationships between learning mathematics and general cognitive ability have been hypothesized: The educational hypothesis that learning mathematics develops general cognitive skills, the psychometric hypothesis that differences in general cognitive ability cause differences in mathematical attainment, and the reciprocal influence hypothesis that developments in mathematical ability and general cognitive ability influence each other. These hypotheses are assessed with a sample of 948 children from the Twins Early Development Study who were assessed at 7, 9, and 10 years on mathematics, English, and general cognitive ability. A cross-lagged path analysis with mathematics and general cognitive ability measures supports the reciprocal influence hypothesis between 7 and 9 and between 9 and 10. A second analysis including English assessments only provides evidence of a reciprocal relationship between 7 and 9. Statement of Contribution What is already known on this subject? The correlations between mathematical attainment, literacy, and measures of general cognitive skills are well established. The role of literacy in developing general cognitive skills is emerging. What the present study adds? Mathematics contributes to the development of general cognitive skills. General cognitive ability contributes to mathematical development between 7 and 10. These findings support the hypothesis of reciprocal influence between mathematics and general cognitive ability, at least between 7 and 9. © 2017 The British Psychological Society.

  1. Using assessment to individualize early mathematics instruction.

    Science.gov (United States)

    Connor, Carol McDonald; Mazzocco, Michèle M M; Kurz, Terri; Crowe, Elizabeth C; Tighe, Elizabeth L; Wood, Taffeta S; Morrison, Frederick J

    2018-02-01

    Accumulating evidence suggests that assessment-informed personalized instruction, tailored to students' individual skills and abilities, is more effective than more one-size-fits-all approaches. In this study, we evaluate the efficacy of Individualizing Student Instruction in Mathematics (ISI-Math) compared to Reading (ISI-Reading) where classrooms were randomly assigned to ISI-Math or ISI-Reading. The literature on child characteristics X instruction or skill X treatment interaction effects point to the complexities of tailoring instruction for individual students who present with constellations of skills. Second graders received mathematics instruction in small flexible learning groups based on their assessed learning needs. Results of the study (n=32 teachers, 370 students) revealed significant treatment effects on standardized mathematics assessments. With effect sizes (d) of 0.41-0.60, we show that we can significantly improve 2nd graders' mathematics achievement, including for children living in poverty, by using assessment data to individualize the mathematics instruction they receive. The instructional regime, ISI-Math, was implemented by regular classroom teachers and it led to about a 4-month achievement advantage on standardized mathematics tests when compared to students in control classrooms. These results were realized within one school year. Moreover, treatment effects were the same regardless of school-level poverty and students' gender, initial mathematics or vocabulary scores. Copyright © 2017 Society for the Study of School Psychology. Published by Elsevier Ltd. All rights reserved.

  2. Teachers' Understanding of the Role of Executive Functions in Mathematics Learning

    Science.gov (United States)

    Gilmore, Camilla; Cragg, Lucy

    2014-01-01

    Cognitive psychology research has suggested an important role for executive functions, the set of skills that monitor and control thought and action, in learning mathematics. However, there is currently little evidence about whether teachers are aware of the importance of these skills and, if so, how they come by this information. We conducted an online survey of teachers' views on the importance of a range of skills for mathematics learning. Teachers rated executive function skills, and in particular inhibition and shifting, to be important for mathematics. The value placed on executive function skills increased with increasing teaching experience. Most teachers reported that they were aware of these skills, although few knew the term “executive functions.” This awareness had come about through their teaching experience rather than from formal instruction. Researchers and teacher educators could do more to highlight the importance of these skills to trainee or new teachers. PMID:25674156

  3. Strategies of solving arithmetic word problems in students with learning difficulties in mathematics

    OpenAIRE

    Kalan, Marko

    2015-01-01

    Problem solving as an important skill is, beside arithmetic, measure and algebra, included in standards of school mathematics (National Council of Teachers of Mathematics) (NCTM, 2000) and needed as a necessary skill for successfulness in science, technology, engineering and mathematics (STEM) (National Mathematics Advisory Panel, 2008). Since solving of human problems is connected to the real life, the arithmetic word problems (in short AWP) are an important kind of mathematics tasks in scho...

  4. Interdisciplinary Navigation Unit for Mathematics and Earth Science Using Geospatial Technology

    Science.gov (United States)

    Smaglik, S. M.; Harris, V.

    2006-12-01

    Central Wyoming College (CWC) is located northeast of the Wind River Mountains. Although many people find recreation in the wilderness and remote areas surrounding the area, people still lose their lives because they become lost or disoriented. Creating an interdisciplinary field-based curriculum unit within mathematics (MATH 1000) and earth science (GEOL 1070) courses for non-science and education majors, provides students an opportunity to develop critical thinking skills and quantitative literacy. It also provides some necessary skills for survival and an understanding of landscape formation and wilderness navigation using geoscience. A brief history of navigation, including the importance of finding latitude and longitude, and the fairly recent implementation of the Global Positioning System, precedes activities in which students learn to use a basic compass. In addition to learning how to adjust for magnetic declination they read topographic maps, specifically USGS quadrangles, and learn how to use the scale in the legend to verify calculations using the Pythagorean Theorem. Students learn how to estimate distance and time required for traveling a pre- determined distance while using dimensional analysis to convert from the English system to metric. They learn how to read and measure latitude and longitude, as well as universal transverse Mercator projection measurements (UTM's), to find their position. The basic mathematical skills are assessed through hands-on activities such as finding their location on a map using a compass, a GPS unit, and Google Earth, and using a combination of maps, compasses, and GPS units to navigate through a course. Our goal is to provide life-saving information to students while incorporating necessary core curriculum from both mathematics and earth science classes. We work to create field-based activities, as well as assessments, to insure that students who complete the course are prepared to safely enjoy the outdoors and are

  5. Expressive and receptive language skills in preschool children from a socially disadvantaged area.

    Science.gov (United States)

    Ryan, Ashling; Gibbon, Fiona E; O'shea, Aoife

    2016-02-01

    Evidence suggests that children present with receptive language skills that are equivalent to or more advanced than expressive language skills. This profile holds true for typical and delayed language development. This study aimed to determine if such a profile existed for preschool children from an area of social deprivation and to investigate if particular language skills influence any differences found between expressive and receptive skills. Data from 187 CELF P2 UK assessments conducted on preschool children from two socially disadvantaged areas in a city in southern Ireland. A significant difference was found between Receptive Language Index (RLI) and Expressive Language Index (ELI) scores with Receptive scores found to be lower than Expressive scores. The majority (78.6%) of participants had a lower Receptive Language than Expressive score (RLI ELI), with very few (3.2%) having the same Receptive and Expressive scores (RLI = ELI). Scores for the Concepts and Following Directions (receptive) sub-test were significantly lower than for the other receptive sub tests, while scores for the Expressive Vocabulary sub-test were significantly higher than for the other expressive sub tests. The finding of more advanced expressive than receptive language skills in socially deprived preschool children is previously unreported and clinically relevant for speech-language pathologists in identifying the needs of this population.

  6. Mathematical Games: Skill + Luck = Learning

    Science.gov (United States)

    Parsons, John

    2008-01-01

    Left to their own devices, many students are happy to work within their comfort zone of skill and understanding, a level where they are confident that they will achieve regular success. The job of the classroom teacher is to help students reach beyond this and to help them make this level their new comfort zone. Clearly, teachers need to employ a…

  7. Innovative trends in mathematics education: Implications for global ...

    African Journals Online (AJOL)

    Acquisition of Mathematical knowledge and skills requires effective teaching and learning. The traditional method of teaching that is usually adopted by Mathematics Teachers has been identified as one of the causes of students' poor performance Mathematics. However, adoptions of innovative strategies have been ...

  8. Mathematical Modeling and Computational Thinking

    Science.gov (United States)

    Sanford, John F.; Naidu, Jaideep T.

    2017-01-01

    The paper argues that mathematical modeling is the essence of computational thinking. Learning a computer language is a valuable assistance in learning logical thinking but of less assistance when learning problem-solving skills. The paper is third in a series and presents some examples of mathematical modeling using spreadsheets at an advanced…

  9. Working memory resources in young children with mathematical difficulties.

    Science.gov (United States)

    Kyttälä, Minna; Aunio, Pirjo; Hautamäki, Jarkko

    2010-02-01

    Working memory (WM) (Baddeley, 1986, 1997) is argued to be one of the most important cognitive resources underlying mathematical competence (Geary, 2004). Research has established close links between WM deficits and mathematical difficulties. This study investigated the possible deficits in WM, language and fluid intelligence that seem to characterize 4- to 6-year-old children with poor early mathematical skills before formal mathematics education. Children with early mathematical difficulties showed poor performance in both verbal and visuospatial WM tasks as well as on language tests and a fluid intelligence test indicating a thoroughly lower cognitive base. Poor WM performance was not moderated by fluid intelligence, but the extent of WM deficits was related to language skills. The educational implications are discussed.

  10. Effects of Mathematics Anxiety and Mathematical Metacognition on Word Problem Solving in Children with and without Mathematical Learning Difficulties

    Science.gov (United States)

    Lai, Yinghui; Zhu, Xiaoshuang; Chen, Yinghe; Li, Yanjun

    2015-01-01

    Mathematics is one of the most objective, logical, and practical academic disciplines. Yet, in addition to cognitive skills, mathematical problem solving also involves affective factors. In the current study, we first investigated effects of mathematics anxiety (MA) and mathematical metacognition on word problem solving (WPS). We tested 224 children (116 boys, M = 10.15 years old, SD = 0.56) with the Mathematics Anxiety Scale for Children, the Chinese Revised-edition Questionnaire of Pupil’s Metacognitive Ability in Mathematics, and WPS tasks. The results indicated that mathematical metacognition mediated the effect of MA on WPS after controlling for IQ. Second, we divided the children into four mathematics achievement groups including high achieving (HA), typical achieving (TA), low achieving (LA), and mathematical learning difficulty (MLD). Because mathematical metacognition and MA predicted mathematics achievement, we compared group differences in metacognition and MA with IQ partialled out. The results showed that children with MLD scored lower in self-image and higher in learning mathematics anxiety (LMA) than the TA and HA children, but not in mathematical evaluation anxiety (MEA). MLD children’s LMA was also higher than that of their LA counterparts. These results provide insight into factors that may mediate poor WPS performance which emerges under pressure in mathematics. These results also suggest that the anxiety during learning mathematics should be taken into account in mathematical learning difficulty interventions. PMID:26090806

  11. Effects of Mathematics Anxiety and Mathematical Metacognition on Word Problem Solving in Children with and without Mathematical Learning Difficulties.

    Directory of Open Access Journals (Sweden)

    Yinghui Lai

    Full Text Available Mathematics is one of the most objective, logical, and practical academic disciplines. Yet, in addition to cognitive skills, mathematical problem solving also involves affective factors. In the current study, we first investigated effects of mathematics anxiety (MA and mathematical metacognition on word problem solving (WPS. We tested 224 children (116 boys, M = 10.15 years old, SD = 0.56 with the Mathematics Anxiety Scale for Children, the Chinese Revised-edition Questionnaire of Pupil's Metacognitive Ability in Mathematics, and WPS tasks. The results indicated that mathematical metacognition mediated the effect of MA on WPS after controlling for IQ. Second, we divided the children into four mathematics achievement groups including high achieving (HA, typical achieving (TA, low achieving (LA, and mathematical learning difficulty (MLD. Because mathematical metacognition and MA predicted mathematics achievement, we compared group differences in metacognition and MA with IQ partialled out. The results showed that children with MLD scored lower in self-image and higher in learning mathematics anxiety (LMA than the TA and HA children, but not in mathematical evaluation anxiety (MEA. MLD children's LMA was also higher than that of their LA counterparts. These results provide insight into factors that may mediate poor WPS performance which emerges under pressure in mathematics. These results also suggest that the anxiety during learning mathematics should be taken into account in mathematical learning difficulty interventions.

  12. Effects of Mathematics Anxiety and Mathematical Metacognition on Word Problem Solving in Children with and without Mathematical Learning Difficulties.

    Science.gov (United States)

    Lai, Yinghui; Zhu, Xiaoshuang; Chen, Yinghe; Li, Yanjun

    2015-01-01

    Mathematics is one of the most objective, logical, and practical academic disciplines. Yet, in addition to cognitive skills, mathematical problem solving also involves affective factors. In the current study, we first investigated effects of mathematics anxiety (MA) and mathematical metacognition on word problem solving (WPS). We tested 224 children (116 boys, M = 10.15 years old, SD = 0.56) with the Mathematics Anxiety Scale for Children, the Chinese Revised-edition Questionnaire of Pupil's Metacognitive Ability in Mathematics, and WPS tasks. The results indicated that mathematical metacognition mediated the effect of MA on WPS after controlling for IQ. Second, we divided the children into four mathematics achievement groups including high achieving (HA), typical achieving (TA), low achieving (LA), and mathematical learning difficulty (MLD). Because mathematical metacognition and MA predicted mathematics achievement, we compared group differences in metacognition and MA with IQ partialled out. The results showed that children with MLD scored lower in self-image and higher in learning mathematics anxiety (LMA) than the TA and HA children, but not in mathematical evaluation anxiety (MEA). MLD children's LMA was also higher than that of their LA counterparts. These results provide insight into factors that may mediate poor WPS performance which emerges under pressure in mathematics. These results also suggest that the anxiety during learning mathematics should be taken into account in mathematical learning difficulty interventions.

  13. Mathematical psychology.

    Science.gov (United States)

    Batchelder, William H

    2010-09-01

    Mathematical psychology is a sub-field of psychology that started in the 1950s and has continued to grow as an important contributor to formal psychological theory, especially in the cognitive areas of psychology such as learning, memory, classification, choice response time, decision making, attention, and problem solving. In addition, there are several scientific sub-areas that were originated by mathematical psychologists such as the foundations of measurement, stochastic memory models, and psychologically motivated reformulations of expected utility theory. Mathematical psychology does not include all uses of mathematics and statistics in psychology, and indeed there is a long history of such uses especially in the areas of perception and psychometrics. What is most unique about mathematical psychology is its approach to theory construction. While accepting the behaviorist dictum that the data in psychology must be observable and replicable, mathematical models are specified in terms of unobservable formal constructs that can predict detailed aspects of data across multiple experimental and natural settings. By now almost all the substantive areas of cognitive and experimental psychology have formal mathematical models and theories, and many of these are due to researchers that identify with mathematical psychology. Copyright © 2010 John Wiley & Sons, Ltd. For further resources related to this article, please visit the WIREs website. Copyright © 2010 John Wiley & Sons, Ltd.

  14. Research Area 3: Mathematics (3.1 Modeling of Complex Systems)

    Science.gov (United States)

    2017-10-31

    Title: RESEARCH AREA 3: MATHEMATICS (3.1 Modeling of Complex Systems). Proposal should be directed to Dr. John Lavery Report Term: 0-Other Email ...Paolo Rosso Email : prosso@dsic.upv.es values of the profile characteristics taken by the users), intersection (they represent the relationship between...accuracy, especially when adding fully connected layers at the end of the network. This work has resulted in the writing of a manuscript for the Journal

  15. Test-Taking Skills of Secondary Students: The Relationship with Motivation, Attitudes, Anxiety and Attitudes towards Tests

    Science.gov (United States)

    Dodeen, Hamzeh M.; Abdelfattah, Faisal; Alshumrani, Saleh

    2014-01-01

    Test-taking skills are cognitive skills that enable students to undergo any test-taking situation in an appropriate manner. This study is aimed at assessing the relationship between students' test-taking skills and each of the following variables: motivation to learn mathematics; mathematics anxiety; attitudes towards mathematics; and attitudes…

  16. Business Financial Occupations: Skill Standards.

    Science.gov (United States)

    Vocational Technical Education Consortium of States, Decatur, GA.

    This report organizes the information provided by 71 individuals in finance-related occupations in 11 states into skills inventories for persons in these jobs. The skills inventories contain the following sections: (1) occupation-specific knowledge (communication, mathematics, science); (2) workplace behaviors (work ethics, interpersonal…

  17. Spatial transformation abilities and their relation to later mathematics performance.

    Science.gov (United States)

    Frick, Andrea

    2018-04-10

    Using a longitudinal approach, this study investigated the relational structure of different spatial transformation skills at kindergarten age, and how these spatial skills relate to children's later mathematics performance. Children were tested at three time points, in kindergarten, first grade, and second grade (N = 119). Exploratory factor analyses revealed two subcomponents of spatial transformation skills: one representing egocentric transformations (mental rotation and spatial scaling), and one representing allocentric transformations (e.g., cross-sectioning, perspective taking). Structural equation modeling suggested that egocentric transformation skills showed their strongest relation to the part of the mathematics test tapping arithmetic operations, whereas allocentric transformations were strongly related to Numeric-Logical and Spatial Functions as well as geometry. The present findings point to a tight connection between early mental transformation skills, particularly the ones requiring a high level of spatial flexibility and a strong sense for spatial magnitudes, and children's mathematics performance at the beginning of their school career.

  18. Following the Template: Transferring Modeling Skills to Nonstandard Problems

    Science.gov (United States)

    Tyumeneva, Yu. A.; Goncharova, M. V.

    2017-01-01

    This study seeks to analyze how students apply a mathematical modeling skill that was previously learned by solving standard word problems to the solution of word problems with nonstandard contexts. During the course of an experiment involving 106 freshmen, we assessed how well they were able to transfer the mathematical modeling skill that is…

  19. Rethinking the mathematics curriculum

    CERN Document Server

    Hoyles, Celia; Woodhouse, Geoffrey

    1998-01-01

    At a time when political interest in mathematics education is at its highest, this book demonstrates that the issues are far from straightforward. A wide range of international contributors address such questions as: What is mathematics, and what is it for? What skills does mathematics education need to provide as technology advances? What are the implications for teacher education? What can we learn from past attempts to change the mathematics curriculum? Rethinking the Mathematics Curriculum offers stimulating discussions, showing much is to be learnt from the differences in culture, national expectations, and political restraints revealed in the book. This accessible book will be of particular interest to policy makers, curriculum developers, educators, researchers and employers as well as the general reader.

  20. Improving mathematical problem solving : A computerized approach

    NARCIS (Netherlands)

    Harskamp, EG; Suhre, CJM

    Mathematics teachers often experience difficulties in teaching students to become skilled problem solvers. This paper evaluates the effectiveness of two interactive computer programs for high school mathematics problem solving. Both programs present students with problems accompanied by instruction

  1. Mathematics skills in good readers with hydrocephalus.

    Science.gov (United States)

    Barnes, Marcia A; Pengelly, Sarah; Dennis, Maureen; Wilkinson, Margaret; Rogers, Tracey; Faulkner, Heather

    2002-01-01

    Children with hydrocephalus have poor math skills. We investigated the nature of their arithmetic computation errors by comparing written subtraction errors in good readers with hydrocephalus, typically developing good readers of the same age, and younger children matched for math level to the children with hydrocephalus. Children with hydrocephalus made more procedural errors (although not more fact retrieval or visual-spatial errors) than age-matched controls; they made the same number of procedural errors as younger, math-level matched children. We also investigated a broad range of math abilities, and found that children with hydrocephalus performed more poorly than age-matched controls on tests of geometry and applied math skills such as estimation and problem solving. Computation deficits in children with hydrocephalus reflect delayed development of procedural knowledge. Problems in specific math domains such as geometry and applied math, were associated with deficits in constituent cognitive skills such as visual spatial competence, memory, and general knowledge.

  2. Teaching Middle-Grades Mathematics through Financial Literacy

    Science.gov (United States)

    Crawford-Ferre, Heather Glynn; Wiest, Lynda R.; Vega, Stephanie

    2016-01-01

    Because financial literacy is an important skill for middle-grades students, this article suggests numerous personal financial literacy tasks for use in the mathematics classroom. Also provided are specifics for implementing one of these tasks to address mathematical content.

  3. Mathematical people profiles and interviews

    CERN Document Server

    Albers, Donald

    2008-01-01

    This unique collection contains extensive and in-depth interviews with mathematicians who have shaped the field of mathematics in the twentieth century. Collected by two mathematicians respected in the community for their skill in communicating mathematical topics to a broader audience, the book is also rich with photographs and includes an introduction by Philip J. Davis.

  4. Encouraging Students to Read Mathematics

    Science.gov (United States)

    Shepherd, Mary D.

    2005-01-01

    It is generally agreed that the ability to read mathematics is an important skill--one that few of our students possess. A number of people have published some suggestions for helping students learn to read their mathematics textbooks. What these have in common is suggestions for getting students more active while reading. Using these resources as…

  5. Mathematics, anxiety, and the brain.

    Science.gov (United States)

    Moustafa, Ahmed A; Tindle, Richard; Ansari, Zaheda; Doyle, Margery J; Hewedi, Doaa H; Eissa, Abeer

    2017-05-24

    Given that achievement in learning mathematics at school correlates with work and social achievements, it is important to understand the cognitive processes underlying abilities to learn mathematics efficiently as well as reasons underlying the occurrence of mathematics anxiety (i.e. feelings of tension and fear upon facing mathematical problems or numbers) among certain individuals. Over the last two decades, many studies have shown that learning mathematical and numerical concepts relies on many cognitive processes, including working memory, spatial skills, and linguistic abilities. In this review, we discuss the relationship between mathematical learning and cognitive processes as well as the neural substrates underlying successful mathematical learning and problem solving. More importantly, we also discuss the relationship between these cognitive processes, mathematics anxiety, and mathematics learning disabilities (dyscalculia). Our review shows that mathematical cognition relies on a complex brain network, and dysfunction to different segments of this network leads to varying manifestations of mathematical learning disabilities.

  6. Mathematics Teachers’ Interpretation of Higher-Order Thinking in Bloom’s Taxonomy

    OpenAIRE

    Tony Thompson

    2008-01-01

    This study investigated mathematics teachers’ interpretation of higher-order thinking in Bloom’s Taxonomy. Thirty-two high school mathematics teachers from the southeast U.S. were asked to (a) define lower- and higher-order thinking, (b) identify which thinking skills in Bloom’s Taxonomy represented lower- and higher-order thinking, and (c) create an Algebra I final exam item representative of each thinking skill. Results indicate that mathematics teachers have difficulty interpreting the thi...

  7. Construction Industry Related Mathematics: Seventh Grade.

    Science.gov (United States)

    Mundell, Scott

    The field tested construction industry-related mathematics unit is intended to familiarize seventh grade students with various facets of the construction industry, including the various occupations available and the mathematical abilities and other skills and training necessary to pursue an occupation in the industry. The final set of activities…

  8. Mathematical model of parking space unit for triangular parking area

    Science.gov (United States)

    Syahrini, Intan; Sundari, Teti; Iskandar, Taufiq; Halfiani, Vera; Munzir, Said; Ramli, Marwan

    2018-01-01

    Parking space unit (PSU) is an effective measure for the area size of a vehicle, including the free space and the width of the door opening of the vehicle (car). This article discusses a mathematical model for parking space of vehicles in triangular shape area. An optimization model for triangular parking lot is developed. Integer Linear Programming (ILP) method is used to determine the maximum number of the PSU. The triangular parking lot is in isosceles and equilateral triangles shape and implements four possible rows and five possible angles for each field. The vehicles which are considered are cars and motorcycles. The results show that the isosceles triangular parking area has 218 units of optimal PSU, which are 84 units of PSU for cars and 134 units of PSU for motorcycles. Equilateral triangular parking area has 688 units of optimal PSU, which are 175 units of PSU for cars and 513 units of PSU for motorcycles.

  9. Mathematics Prerequisites for Introductory Geoscience Courses: Using Technology to Help Solve the Problem

    Science.gov (United States)

    Burn, H. E.; Wenner, J. M.; Baer, E. M.

    2011-12-01

    The quantitative components of introductory geoscience courses can pose significant barriers to students. Many academic departments respond by stripping courses of their quantitative components or by attaching prerequisite mathematics courses [PMC]. PMCs cause students to incur additional costs and credits and may deter enrollment in introductory courses; yet, stripping quantitative content from geoscience courses masks the data-rich, quantitative nature of geoscience. Furthermore, the diversity of math skills required in geoscience and students' difficulty with transferring mathematical knowledge across domains suggest that PMCs may be ineffective. Instead, this study explores an alternative strategy -- to remediate students' mathematical skills using online modules that provide students with opportunities to build contextual quantitative reasoning skills. The Math You Need, When You Need It [TMYN] is a set of modular online student resources that address mathematical concepts in the context of the geosciences. TMYN modules are online resources that employ a "just-in-time" approach - giving students access to skills and then immediately providing opportunities to apply them. Each module places the mathematical concept in multiple geoscience contexts. Such an approach illustrates the immediate application of a principle and provides repeated exposure to a mathematical skill, enhancing long-term retention. At the same time, placing mathematics directly in several geoscience contexts better promotes transfer of learning by using similar discourse (words, tools, representations) and context that students will encounter when applying mathematics in the future. This study uses quantitative and qualitative data to explore the effectiveness of TMYN modules in remediating students' mathematical skills. Quantitative data derive from ten geoscience courses that used TMYN modules during the fall 2010 and spring 2011 semesters; none of the courses had a PMC. In all courses

  10. Mathematics for physics with calculus

    CERN Document Server

    Das, Biman

    2005-01-01

    Designed for students who plan to take or who are presently taking calculus-based physics courses. This book will develop necessary mathematical skills and help students gain the competence to use precalculus, calculus, vector algebra, vector calculus, and the statistical analysis of experimental data. Students taking intermediate physics, engineering, and other science courses will also find the book useful-and will be able to use the book as a mathematical resource for these intermediate level courses. The book emphasizes primarily the use of mathematical techniques and mathematical concepts in Physics and does not go into their rigorous developments.

  11. Mathematics education and students with learning disabilities: introduction to the special series.

    Science.gov (United States)

    Rivera, D P

    1997-01-01

    The prevalence of students with mathematics learning disabilities has triggered an interest among special education researchers and practitioners in developing an understanding of the needs of this group of students, and in identifying effective instructional programming to foster their mathematical performance during the school years and into adulthood. Research into the characteristics of students with mathematics learning disabilities is being approached from different perspectives, including developmental, neurological and neuropsychological, and educational. This diversity helps us develop a broader understanding of students' learning needs and difficulties. Special education assessment practices encompass a variety of approaches, including norm-referenced, criterion-referenced, and nonstandardized procedures, depending on the specific assessment questions professionals seek to answer. Students' mathematical knowledge and conceptual understanding must be examined to determine their strengths and weaknesses, curriculum-based progress, and use of cognitive strategies to arrive at mathematical solutions. Research findings have identified empirically validated interventions for teaching mathematics curricula to students with mathematics learning disabilities. Research studies have been grounded in behavioral theory and cognitive psychology, with an emergent interest in the constructivist approach. Although research studies have focused primarily on computational performance, more work is being conducted in the areas of story-problem solving and technology. These areas as well as other math curricular skills require further study. Additionally, the needs of adults with math LD have spurred educators to examine the elementary and secondary math curricula and determine ways to infuse them with life skills instruction accordingly. As the field of mathematics special education continues to evolve, special educators must remain cognizant of the developments in and

  12. Mastering mathematics for Edexcel GCSE

    CERN Document Server

    Davis, Heather; Liggett, Linda

    2015-01-01

    Help students to develop their knowledge, skills and understanding so that they can reason mathematically, communicate mathematical information and apply mathematical techniques in solving problems; with resources developed specifically for the Edexcel GCSE 2015 specification with leading Assessment Consultant Keith Pledger and a team of subject specialists. - Supports you and your students through the new specifications, with topic explanations and new exam-style questions, to support the new assessment objectives. - Builds understanding and measures progress throughout the course with plenty

  13. The Impact of Chess Instruction on the Critical Thinking Ability and Mathematical Achievement of Developmental Mathematics Students

    Science.gov (United States)

    Berkley, Darrin K.

    2012-01-01

    This sequential explanatory mixed-methods study determined whether the game of chess can be used as an educational tool to improve critical thinking skills of developmental mathematics students and improve mathematics achievement for these students. Five research questions were investigated. These questions were as follows: (a) Is there a…

  14. The Role of Teachers in Facilitating Mathematics Learning Opportunities in Agriculture, Food, and Natural Resources

    Science.gov (United States)

    McKim, Aaron J.; Velez, Jonathan J.; Everett, Michael W.; Sorensen, Tyson J.

    2017-01-01

    Strengthening knowledge and skills in mathematics is critically important to preparing the next generation of innovators, problem solvers, and interdisciplinary thinkers. School-based agricultural education offers a valuable context to co-develop mathematics knowledge and skills alongside knowledge and skills in agriculture, food, and natural…

  15. Students' perceptions of the relevance of mathematics in engineering

    Science.gov (United States)

    Flegg, Jennifer; Mallet, Dann; Lupton, Mandy

    2012-09-01

    In this article, we report on the findings of an exploratory study into the experience of students as they learn first year engineering mathematics. Here we define engineering as the application of mathematics and sciences to the building and design of projects for the use of society [M. Kirschenman and B. Brenner, Education for Civil Engineering: A Profession of Practice, Leader. Manag. Eng. 10 (2010), p. 54]. Qualitative and quantitative data on students' views of the relevance of their mathematics study to their engineering studies and future careers in engineering was collected. The students described using a range of mathematics techniques (mathematics skills developed, mathematics concepts applied to engineering and skills developed relevant for engineering) for various usages (as a subject of study, a tool for other subjects or a tool for real world problems). We found a number of themes relating to the design of engineering mathematics curriculum emerged from the data. These included the relevance of mathematics within different engineering majors, the relevance of mathematics to future studies, the relevance of learning mathematical rigour and the effectiveness of problem-solving tasks in conveying the relevance of mathematics more effectively than other forms of assessment. We make recommendations for the design of engineering mathematics curriculum based on our findings.

  16. COLLEGE STUDENTS’ PERCEPTIONS OF LEARNING MATHEMATICS AND USING COMPUTERS

    OpenAIRE

    Gok, Tolga

    2016-01-01

    Mathematics isthe key course to interpret the science and nature. A positive attitude shouldbe improved by learners to comprehend the logic of mathematics. However, mostof the research indicated that they were not interested in learning andstudying mathematics. Instead of understanding the basic principles, manystudents preferred to use sophisticated software packages or graphingcalculators for solving mathematics problems. Thus, these tools prevent theimprovement of their mathematical skills...

  17. Cognitive predictors of children's development in mathematics achievement: A latent growth modeling approach.

    Science.gov (United States)

    Xenidou-Dervou, Iro; Van Luit, Johannes E H; Kroesbergen, Evelyn H; Friso-van den Bos, Ilona; Jonkman, Lisa M; van der Schoot, Menno; van Lieshout, Ernest C D M

    2018-04-24

    Research has identified various domain-general and domain-specific cognitive abilities as predictors of children's individual differences in mathematics achievement. However, research into the predictors of children's individual growth rates, namely between-person differences in within-person change in mathematics achievement is scarce. We assessed 334 children's domain-general and mathematics-specific early cognitive abilities and their general mathematics achievement longitudinally across four time-points within the first and second grades of primary school. As expected, a constellation of multiple cognitive abilities contributed to the children's starting level of mathematical success. Specifically, latent growth modeling revealed that WM abilities, IQ, counting skills, nonsymbolic and symbolic approximate arithmetic and comparison skills explained individual differences in the children's initial status on a curriculum-based general mathematics achievement test. Surprisingly, however, only one out of all the assessed cognitive abilities was a unique predictor of the children's individual growth rates in mathematics achievement: their performance in the symbolic approximate addition task. In this task, children were asked to estimate the sum of two large numbers and decide if this estimated sum was smaller or larger compared to a third number. Our findings demonstrate the importance of multiple domain-general and mathematics-specific cognitive skills for identifying children at risk of struggling with mathematics and highlight the significance of early approximate arithmetic skills for the development of one's mathematical success. We argue the need for more research focus on explaining children's individual growth rates in mathematics achievement. © 2018 John Wiley & Sons Ltd.

  18. Science, technology, engineering, mathematics (STEM) as mathematics learning approach in 21st century

    Science.gov (United States)

    Milaturrahmah, Naila; Mardiyana, Pramudya, Ikrar

    2017-08-01

    This 21st century demands competent human resources in science, technology, engineering design and mathematics so that education is expected to integrate the four disciplines. This paper aims to describe the importance of STEM as mathematics learning approach in Indonesia in the 21st century. This paper uses a descriptive analysis research method, and the method reveals that STEM education growing in developed countries today can be a framework for innovation mathematics in Indonesia in the 21st century. STEM education integrate understanding of science, math skills, and the available technology with the ability to perform engineering design process. Implementation of mathematics learning with STEM approach makes graduates trained in using of mathematics knowledge that they have to create innovative products that are able to solve the problems that exist in society.

  19. Crossroads in the History of Mathematics and Mathematics Education. The Montana Mathematics Enthusiast: Monograph Series in Mathematics Education

    Science.gov (United States)

    Sriraman, Bharath, Ed.

    2012-01-01

    The interaction of the history of mathematics and mathematics education has long been construed as an esoteric area of inquiry. Much of the research done in this realm has been under the auspices of the history and pedagogy of mathematics group. However there is little systematization or consolidation of the existing literature aimed at…

  20. An introduction to mathematical modeling

    CERN Document Server

    Bender, Edward A

    2000-01-01

    Employing a practical, ""learn by doing"" approach, this first-rate text fosters the development of the skills beyond the pure mathematics needed to set up and manipulate mathematical models. The author draws on a diversity of fields - including science, engineering, and operations research - to provide over 100 reality-based examples. Students learn from the examples by applying mathematical methods to formulate, analyze, and criticize models. Extensive documentation, consisting of over 150 references, supplements the models, encouraging further research on models of particular interest. The

  1. Mathematics in the Workplace: Issues and Challenges

    NARCIS (Netherlands)

    Hoyles, C.; Noss, R.; Kent, P.; Bakker, A.

    2013-01-01

    In political and educational debate, there is contrary opinion about the mathematical needs of employees. Several influential studies report that, apart from recognizing the need for a small layer of ‘symbolic analysts’ (Reich 1992), employers do not prioritize mathematical skills (e.g., Department

  2. A Study on Gendered Portrayals in Children's Picture Books with Mathematical Content

    Directory of Open Access Journals (Sweden)

    Patricia R. Ladd

    2011-12-01

    Full Text Available This study analyzes sexism in children's picture books that incorporate mathematical problems and problem-solving into the plot to determine if children's earliest reading material is affecting the achievement gap between males and females in this subject area. The study focused not just on overall totals of male and female characters, but also analyzed which genders most often portrayed gender stereotyped behaviors and personality traits and which characters were most often shown with mathematical skills. The findings of the study show that there were twice as many male as female characters, and the math problem-solving was generally done by males in the majority of titles.

  3. Remedial Instruction to Enhance Mathematical Ability of Dyscalculics

    Science.gov (United States)

    Kumar, S. Praveen; Raja, B. William Dharma

    2012-01-01

    The ability to do arithmetic calculations is essential to school-based learning and skill development in an information rich society. Arithmetic is a basic academic skill that is needed for learning which includes the skills such as counting, calculating, reasoning etc. that are used for performing mathematical calculations. Unfortunately, many…

  4. Drama for children with special needs (motor skill development)

    OpenAIRE

    Cameron, Fiona

    1991-01-01

    During placement in secondary schools, the author notice a general lack of confidence in the ability to use movement. Many of these "Clumsy Children" expressed difficulties with reading and writing and in the area of Mathematics. Was there a connection between under-developed motor skills and general academic and social behaviour? Primary 1-3 are structured around "learning by doing". After that the work changes to more cognitive based learning and more classroom structure. If the children do...

  5. Implication of formative assessment practices among mathematics teacher

    Science.gov (United States)

    Samah, Mas Norbany binti Abu; Tajudin, Nor'ain binti Mohd

    2017-05-01

    Formative assessment of school-based assessment (SBA) is implemented in schools as a move to improve the National Education Assessment System (NEAS). Formative assessment focuses on assessment for learning. There are various types of formative assessment instruments used by teachers of mathematics, namely the form of observation, questioning protocols, worksheets and quizzes. This study aims to help teachers improve skills in formative assessments during the teaching and learning (t&l) Mathematics. One mathematics teacher had been chosen as the study participants. The collecting data using document analysis, observation and interviews. Data were analyzed narrative and assessments can help teachers implement PBS. Formative assessment is conducted to improve the skills of students in t&l effectively.

  6. Sharpen Your Skills: Mathematics and Science Braille.

    Science.gov (United States)

    Eulert, Von E.; Cohn, Doris

    1984-01-01

    Three articles about mathematics and science braille are provided for braille transcribers and teachers of the visually handicapped. The first article discusses common problems such as setting braille writers incorrectly, duplicating transcribed materials unnecessarily, and incorrectly transcribing from typescript. The second article provides a…

  7. Physics Doctorates: Skills Used & Satisfaction with Employment. Data from the Degree Recipient Follow-Up Survey for the Classes of 2013 and 2014. Focus On

    Science.gov (United States)

    Pold, Jack; Mulvey, Patrick

    2016-01-01

    By the time people earn physics PhDs, they have learned a great deal about physics and how research is conducted. However, physics PhDs also develop skills and knowledge in a number of related areas, such as advanced mathematics, programming, modeling, and technical writing. Physics PhDs draw upon an arsenal of skills and knowledge in their…

  8. Foundations of mathematics and literacy: The role of executive functioning components.

    Science.gov (United States)

    Purpura, David J; Schmitt, Sara A; Ganley, Colleen M

    2017-01-01

    The current study investigated the relations between the three cognitive processes that comprise executive functioning (EF)-response inhibition, working memory, and cognitive flexibility-and individual components of mathematics and literacy skills in preschool children. Participants were 125 preschool children ranging in age from 3.12 to 5.26years (M=4.17years, SD=0.58). Approximately 53.2% were female, and the sample was predominantly Caucasian (69.8%). Results suggest that the components of EF may be differentially related to the specific components of early mathematics and literacy. For mathematics, response inhibition was broadly related to most components. Working memory was related to more advanced mathematics skills that involve comparison or combination of numbers and quantities. Cognitive flexibility was related to more conceptual or abstract mathematics skills. For early literacy, response inhibition and cognitive flexibility were related to print knowledge, and working memory was related only to phonological awareness. None of the EF components was related to vocabulary. These findings provide initial evidence for better understanding the ways in which EF components and academic skills are related and measured. Furthermore, the findings provide a foundation for further study of the components of each domain using a broader and more diverse array of measures. Copyright © 2016 Elsevier Inc. All rights reserved.

  9. The effect of creative problem solving on students’ mathematical adaptive reasoning

    Science.gov (United States)

    Muin, A.; Hanifah, S. H.; Diwidian, F.

    2018-01-01

    This research was conducted to analyse the effect of creative problem solving (CPS) learning model on the students’ mathematical adaptive reasoning. The method used in this study was a quasi-experimental with randomized post-test only control group design. Samples were taken as many as two classes by cluster random sampling technique consisting of experimental class (CPS) as many as 40 students and control class (conventional) as many as 40 students. Based on the result of hypothesis testing with the t-test at the significance level of 5%, it was obtained that significance level of 0.0000 is less than α = 0.05. This shows that the students’ mathematical adaptive reasoning skills who were taught by CPS model were higher than the students’ mathematical adaptive reasoning skills of those who were taught by conventional model. The result of this research showed that the most prominent aspect of adaptive reasoning that could be developed through a CPS was inductive intuitive. Two aspects of adaptive reasoning, which were inductive intuitive and deductive intuitive, were mostly balanced. The different between inductive intuitive and deductive intuitive aspect was not too big. CPS model can develop student mathematical adaptive reasoning skills. CPS model can facilitate development of mathematical adaptive reasoning skills thoroughly.

  10. Effect of a ball skill intervention on children's ball skills and cognitive functions.

    Science.gov (United States)

    Westendorp, Marieke; Houwen, Suzanne; Hartman, Esther; Mombarg, Remo; Smith, Joanne; Visscher, Chris

    2014-02-01

    This study examined the effect of a 16-wk ball skill intervention on the ball skills, executive functioning (in terms of problem solving and cognitive flexibility), and in how far improved executive functioning leads to improved reading and mathematics performance of children with learning disorders. Ninety-one children with learning disorders (age 7-11 yr old) were recruited from six classes in a Dutch special-needs primary school. The six classes were assigned randomly either to the intervention or to the control group. The control group received the school's regular physical education lessons. In the intervention group, ball skills were practiced in relative static, simple settings as well as in more dynamic and cognitive demanding settings. Both groups received two 40-min lessons per week. Children's scores on the Test of Gross Motor Development-2 (ball skills), Tower of London (problem solving), Trail Making Test (cognitive flexibility), Dutch Analysis of Individual Word Forms (reading), and the Dutch World in Numbers test (mathematics) at pretest, posttest, and retention test were used to examine intervention effects. The results showed that the intervention group significantly improved their ball skills, whereas the control group did not. No intervention effects were found on the cognitive parameters. However, within the intervention group, a positive relationship (r = 0.41, P = 0.007) was found between the change in ball skill performance and the change in problem solving: the larger children's improvement in ball skills, the larger their improvement in problem solving. The present ball skill intervention is an effective instrument to improve the ball skills of children with learning disorders. Further research is needed to examine the effect of the ball skill intervention on the cognitive parameters in this population.

  11. Modelling as a foundation for academic forming in mathematics education

    NARCIS (Netherlands)

    Perrenet, J.C.; Morsche, ter H.G.

    2004-01-01

    The Bachelor curriculum of Applied Mathematics in Eindhoven includes a series of modelling projects where pairs of students solve mathematical problems posed in non-mathematical language. Communication skills training is integrated with this track. Recently a new course has been added. The students

  12. Identifying Domain-General and Domain-Specific Predictors of Low Mathematics Performance: A Classification and Regression Tree Analysis

    Directory of Open Access Journals (Sweden)

    David J. Purpura

    2017-12-01

    Full Text Available Many children struggle to successfully acquire early mathematics skills. Theoretical and empirical evidence has pointed to deficits in domain-specific skills (e.g., non-symbolic mathematics skills or domain-general skills (e.g., executive functioning and language as underlying low mathematical performance. In the current study, we assessed a sample of 113 three- to five-year old preschool children on a battery of domain-specific and domain-general factors in the fall and spring of their preschool year to identify Time 1 (fall factors associated with low performance in mathematics knowledge at Time 2 (spring. We used the exploratory approach of classification and regression tree analyses, a strategy that uses step-wise partitioning to create subgroups from a larger sample using multiple predictors, to identify the factors that were the strongest classifiers of low performance for younger and older preschool children. Results indicated that the most consistent classifier of low mathematics performance at Time 2 was children’s Time 1 mathematical language skills. Further, other distinct classifiers of low performance emerged for younger and older children. These findings suggest that risk classification for low mathematics performance may differ depending on children’s age.

  13. The Language of Mathematics: The Importance of Teaching and Learning Mathematical Vocabulary

    Science.gov (United States)

    Riccomini, Paul J.; Smith, Gregory W.; Hughes, Elizabeth M.; Fries, Karen M.

    2015-01-01

    Vocabulary understanding is a major contributor to overall comprehension in many content areas, including mathematics. Effective methods for teaching vocabulary in all content areas are diverse and long standing. Teaching and learning the language of mathematics is vital for the development of mathematical proficiency. Students' mathematical…

  14. Investigating and Developing Engineering Students' Mathematical Modelling and Problem-Solving Skills

    Science.gov (United States)

    Wedelin, Dag; Adawi, Tom; Jahan, Tabassum; Andersson, Sven

    2015-01-01

    How do engineering students approach mathematical modelling problems and how can they learn to deal with such problems? In the context of a course in mathematical modelling and problem solving, and using a qualitative case study approach, we found that the students had little prior experience of mathematical modelling. They were also inexperienced…

  15. Heuristic and algorithmic processing in English, mathematics, and science education.

    Science.gov (United States)

    Sharps, Matthew J; Hess, Adam B; Price-Sharps, Jana L; Teh, Jane

    2008-01-01

    Many college students experience difficulties in basic academic skills. Recent research suggests that much of this difficulty may lie in heuristic competency--the ability to use and successfully manage general cognitive strategies. In the present study, the authors evaluated this possibility. They compared participants' performance on a practice California Basic Educational Skills Test and on a series of questions in the natural sciences with heuristic and algorithmic performance on a series of mathematics and reading comprehension exercises. Heuristic competency in mathematics was associated with better scores in science and mathematics. Verbal and algorithmic skills were associated with better reading comprehension. These results indicate the importance of including heuristic training in educational contexts and highlight the importance of a relatively domain-specific approach to questions of cognition in higher education.

  16. The mathematical knowledge of physics graduates: Primary data and conclusions

    Science.gov (United States)

    Breitenberger, Ernst

    1992-04-01

    Systematic observations were made of the mathematical knowledge of physics students from the U.S. and other countries during their first years of graduate study at Ohio University. It was found that all were deficient in general and in ``modern'' mathematical concepts, and in problem-solving skills. Sizable fractions of them did not even possess adequate concepts of ``derivative,'' ``integration,'' and ``truth.'' Nearly all were limited to some familiarity with rather elementary calculus, and with equally elementary differential and linear equations, but they showed some ability and a pronounced willingness to perform manipulations. Roughly, they regarded mathematics as mechanical method, not as constructive thinking. In view of the significantly higher levels of mathematical fluency demanded by contemporary advances in physics and in computer usage, none of these students was adequately prepared for future-oriented study, or for research and employment in physics and related areas at the close of the 20th century. It is intended to discuss the likely causes of this state of affairs elsewhere with a view toward remedial actions.

  17. Quotable Quotes in Mathematics

    Science.gov (United States)

    Lo, Bruce W. N.

    1983-01-01

    As a way to dispel negative feelings toward mathematics, a variety of quotations are given. They are categorized by: what mathematics is, mathematicians, mathematics and other disciplines, different areas of mathematics, mathematics and humor, applications of mathematics, and pure versus applied mathematics. (MNS)

  18. Do preschool special education services make a difference in kindergarten reading and mathematics skills?: A propensity score weighting analysis.

    Science.gov (United States)

    Sullivan, Amanda L; Field, Samuel

    2013-04-01

    The purpose of this study was to examine the average treatment effect of preschool special education services on children's kindergarten academic skills. Using data from a nationally representative sample of United States children who participated in the Early Childhood Longitudinal Study-Birth Cohort, we examined the effectiveness of preschool special education services by comparing reading and math outcomes for children who received special education services at preschool-age to a propensity-score-weighted sample of children who did not receive these services. Results indicated that the receipt of these special education services had a statistically significant moderate negative effect on children's kindergarten skills in both reading (d=-0.21) and mathematics (d=-0.29). These findings have implications for the implementation and evaluation of services for young children experiencing developmental delays or disabilities. Copyright © 2012 Society for the Study of School Psychology. Published by Elsevier Ltd. All rights reserved.

  19. Improved capacity to evaluate changes in intestinal mucosal surface area using mathematical modeling.

    Science.gov (United States)

    Greig, Chasen J; Cowles, Robert A

    2017-07-01

    Quantification of intestinal mucosal growth typically relies on morphometric parameters, commonly villus height, as a surrogate for presumed changes in mucosal surface area (MSA). We hypothesized that using mathematical modeling based on multiple unique measurements would improve discrimination of the effects of interventions on MSA compared to standard measures. To determine the ability of mathematical modeling to resolve differences in MSA, a mouse model with enhanced serotonin (5HT) signaling known to stimulate mucosal growth was used. 5-HT signaling is potentiated by targeting the serotonin reuptake transporter (SERT) molecule. Selective serotonin reuptake inhibitor-treated wild-type (WT-SSRI), SERT-knockout (SERTKO), and wild-type C57Bl/6 (WT) mice were used. Distal ileal sections were H&E-stained. Villus height (VH), width (VW), crypt width (CW), and bowel diameter were used to calculate surface area enlargement factor (SEF) and MSA. VH alone for SERTKO and SSRI was significantly increased compared to WT, without a difference between SERTKO and WT-SSRI. VW and CW were significantly decreased for both SERTKO and WT-SSRI compared to WT, and VW for WT-SSRI was also decreased compared to SERTKO. These changes increased SEF and MSA for SERTKO and WT-SSRI compared to WT. Additionally, SEF and MSA were significantly increased for WT-SSRI compared to SERTKO. Mathematical modeling provides a valuable tool for differentiating changes in intestinal MSA. This more comprehensive assessment of surface area does not appear to correlate linearly with standard morphometric measures and represents a more comprehensive method for discriminating between therapies aimed at increasing functional intestinal mucosa. © 2017 Wiley Periodicals, Inc.

  20. Examination Of Gifted Students’ Probability Problem Solving Process In Terms Of Mathematical Thinking

    Directory of Open Access Journals (Sweden)

    Serdal BALTACI

    2016-10-01

    Full Text Available It is a widely known fact that gifted students have different skills compared to their peers. However, to what extent gifted students use mathematical thinking skills during probability problem solving process emerges as a significant question. Thence, the main aim of the present study is to examine 8th grade gifted students’ probability problem-solving process related to daily life in terms of mathematical thinking skills. In this regard, a case study was used in the study. The participants of the study were six students at 8th grade (four girls and two boys from the Science and Art Center. One of the purposeful sampling methods, maximum variation sampling was used for selecting the participants. Clinical interview and problems were used as a data collection tool. As a results of the study, it was determined that gifted students use reasoning and strategies skill, which is one of the mathematical thinking skills, mostly on the process of probability problem solving, and communication skills at least.

  1. Understanding the Chinese Approach to Creative Teaching in Mathematics Classrooms

    Science.gov (United States)

    Niu, Weihua; Zhou, Zheng; Zhou, Xinlin

    2017-01-01

    Using Amabile's componential theory of creativity as a framework, this paper analyzes how Chinese mathematics teachers achieve creative teaching through acquiring in-depth domain-specific knowledge in mathematics, developing creativity-related skills, as well as stimulating student interest in learning mathematics, through well-crafted,…

  2. English learners in the mathematics classroom

    CERN Document Server

    Coggins, Debra S (Susan)

    2014-01-01

    Research-based strategies to reach English learners - now aligned with the Common Core!Enable your English learners to build higher-level math skills and gain greater fluency in their new language-all while achieving the goals of the Common Core. Now in its second edition, this trusted resource includes:  Mathematics lesson scenarios in every chapter, directly connected to Common Core Standards and the Standards for Mathematical Practice Instructional approaches that promote participation, hands-on learning, and true comprehension of mathematics concepts that benefit ALL students Sample lessons, visuals, and essential vocabulary that connect mathematical concepts with language development.

  3. Teaching Mathematical Modelling for Earth Sciences via Case Studies

    Science.gov (United States)

    Yang, Xin-She

    2010-05-01

    Mathematical modelling is becoming crucially important for earth sciences because the modelling of complex systems such as geological, geophysical and environmental processes requires mathematical analysis, numerical methods and computer programming. However, a substantial fraction of earth science undergraduates and graduates may not have sufficient skills in mathematical modelling, which is due to either limited mathematical training or lack of appropriate mathematical textbooks for self-study. In this paper, we described a detailed case-study-based approach for teaching mathematical modelling. We illustrate how essential mathematical skills can be developed for students with limited training in secondary mathematics so that they are confident in dealing with real-world mathematical modelling at university level. We have chosen various topics such as Airy isostasy, greenhouse effect, sedimentation and Stokes' flow,free-air and Bouguer gravity, Brownian motion, rain-drop dynamics, impact cratering, heat conduction and cooling of the lithosphere as case studies; and we use these step-by-step case studies to teach exponentials, logarithms, spherical geometry, basic calculus, complex numbers, Fourier transforms, ordinary differential equations, vectors and matrix algebra, partial differential equations, geostatistics and basic numeric methods. Implications for teaching university mathematics for earth scientists for tomorrow's classroom will also be discussed. Refereces 1) D. L. Turcotte and G. Schubert, Geodynamics, 2nd Edition, Cambridge University Press, (2002). 2) X. S. Yang, Introductory Mathematics for Earth Scientists, Dunedin Academic Press, (2009).

  4. Graphic Organizer in Action: Solving Secondary Mathematics Word Problems

    Directory of Open Access Journals (Sweden)

    Khoo Jia Sian

    2016-09-01

    Full Text Available Mathematics word problems are one of the most challenging topics to learn and teach in secondary schools. This is especially the case in countries where English is not the first language for the majority of the people, such as in Brunei Darussalam. Researchers proclaimed that limited language proficiency and limited Mathematics strategies are the possible causes to this problem. However, whatever the reason is behind difficulties students face in solving Mathematical word problems, it is perhaps the teaching and learning of the Mathematics that need to be modified. For example, the use of four-square-and-a-diamond graphic organizer that infuses model drawing skill; and Polya’s problem solving principles, to solve Mathematical word problems may be some of the strategies that can help in improving students’ word problem solving skills. This study, through quantitative analysis found that the use of graphic organizer improved students’ performance in terms of Mathematical knowledge, Mathematical strategy and Mathematical explanation in solving word problems. Further qualitative analysis revealed that the use of graphic organizer boosted students’ confidence level and positive attitudes towards solving word problems.Keywords: Word Problems, Graphic Organizer, Algebra, Action Research, Secondary School Mathematics DOI: http://dx.doi.org/10.22342/jme.7.2.3546.83-90

  5. ENHANCING STUDENTS’ COMMUNICATION SKILLS THROUGH TREFFINGER TEACHING MODEL

    Directory of Open Access Journals (Sweden)

    Idrus Alhaddad

    2015-01-01

    Full Text Available This research aims to  investigate, compare, and describe the achievement and enhancement of students’ mathematical communication skills (MCS.  It based on the prior mathematical knowledge (PMK category (high, medium and low by using Treffinger models (TM and conventional learning (CL. This research is an experimental study with the population of all students of Mathematics Education Department who took Discrete Mathematics subject matter of one university in the city of Ternate. The results show that (1 the achievement and enhancement of MCS  students that used  TM are higher than the students learning using CL; (2 Based on the categories of PMK, the achievement and enhancement of MCS of students using TM are also higher than those learning with CL; and  (3 There was no interaction effect between learning (TM and CL and PMK to the achievement and enhancement of MCS of the students.Keyword: Communication Skills, Prior Mathematical Knowledge, Treffinger Model DOI: dx.doi.org/10.22342/jme.61.31

  6. Improved Outcomes with Computer-Assisted Instruction in Mathematics and English Language Skills for Hispanic Students in Need of Remedial Education at Miami Dade College, Florida

    Science.gov (United States)

    Vassiliou, John

    2011-01-01

    In this study, 180 first-time-in-college (FTIC) students at Miami Dade College, Florida in need of remedial instruction in basic mathematics, reading, and sentence skills utilized the A[superscript +]dvancer[R] College Readiness Online software. Significant results were found with increased ACCUPLACER[R] scores; number of students who avoided at…

  7. Visual Representations in Mathematics Teaching: An Experiment with Students

    Science.gov (United States)

    Debrenti, Edith

    2015-01-01

    General problem-solving skills are of central importance in school mathematics achievement. Word problems play an important role not just in mathematical education, but in general education as well. Meaningful learning and understanding are basic aspects of all kinds of learning and it is even more important in the case of learning mathematics. In…

  8. Mathematical methods for physicists

    CERN Document Server

    Arfken, George B

    2005-01-01

    This best-selling title provides in one handy volume the essential mathematical tools and techniques used to solve problems in physics. It is a vital addition to the bookshelf of any serious student of physics or research professional in the field. The authors have put considerable effort into revamping this new edition.* Updates the leading graduate-level text in mathematical physics* Provides comprehensive coverage of the mathematics necessary for advanced study in physics and engineering* Focuses on problem-solving skills and offers a vast array of exercises * Clearly illustrates and proves mathematical relationsNew in the Sixth Edition:* Updated content throughout, based on users'' feedback * More advanced sections, including differential forms and the elegant forms of Maxwell''s equations* A new chapter on probability and statistics* More elementary sections have been deleted

  9. Contextual Teaching and Learning Approach of Mathematics in Primary Schools

    Science.gov (United States)

    Selvianiresa, D.; Prabawanto, S.

    2017-09-01

    The Contextual Teaching and Learning (CTL) approach is an approach involving active students in the learning process to discover the concepts learned through to knowledge and experience of the students. Similar to Piaget’s opinion that learning gives students an actives trying to do new things by relating their experiences and building their own minds. When students to connecting mathematics with real life, then students can looking between a conceptual to be learned with a concept that has been studied. So that, students can developing of mathematical connection ability. This research is quasi experiment with a primary school in the city of Kuningan. The result showed that CTL learning can be successful, when learning used a collaborative interaction with students, a high level of activity in the lesson, a connection to real-world contexts, and an integration of science content with other content and skill areas. Therefore, CTL learning can be applied by techer to mathematics learning in primary schools.

  10. The written mathematical communication profile of prospective math teacher in mathematical proving

    Science.gov (United States)

    Pantaleon, K. V.; Juniati, D.; Lukito, A.; Mandur, K.

    2018-01-01

    Written mathematical communication is the process of expressing mathematical ideas and understanding in writing. It is one of the important aspects that must be mastered by the prospective math teacher as tool of knowledge transfer. This research was a qualitative research that aimed to describe the mathematical communication profile of the prospective mathematics teacher in mathematical proving. This research involved 48 students of Mathematics Education Study Program; one of them with moderate math skills was chosen as the main subject. Data were collected through tests, assignments, and task-based interviews. The results of this study point out that in the proof of geometry, the subject explains what is understood, presents the idea in the form of drawing and symbols, and explains the content/meaning of a representation accurately and clearly, but the subject can not convey the argument systematically and logically. Whereas in the proof of algebra, the subject describes what is understood, explains the method used, and describes the content/meaning of a symbolic representation accurately, systematically, logically, but the argument presented is not clear because it is insufficient detailed and complete.

  11. Beyond Cognitive Increase: Investigating the Influence of Computer Programming on Perception and Application of Mathematical Skills

    Science.gov (United States)

    Rich, Peter J.; Bly, Neil; Leatham, Keith R.

    2014-01-01

    This study aimed to provide first-hand accounts of the perceived long-term effects of learning computer programming on a learner's approach to mathematics. These phenomenological accounts, garnered from individual interviews of seven different programmers, illustrate four specific areas of interest: (1) programming provides context for many…

  12. An introduction to mathematical modeling of infectious diseases

    CERN Document Server

    Li, Michael Y

    2018-01-01

    This text provides essential modeling skills and methodology for the study of infectious diseases through a one-semester modeling course or directed individual studies.  The book includes mathematical descriptions of epidemiological concepts, and uses classic epidemic models to introduce different mathematical methods in model analysis.  Matlab codes are also included for numerical implementations. It is primarily written for upper undergraduate and beginning graduate students in mathematical sciences who have an interest in mathematical modeling of infectious diseases.  Although written in a rigorous mathematical manner, the style is not unfriendly to non-mathematicians.

  13. It takes two-skilled recognition of objects engages lateral areas in both hemispheres.

    Directory of Open Access Journals (Sweden)

    Merim Bilalić

    Full Text Available Our object recognition abilities, a direct product of our experience with objects, are fine-tuned to perfection. Left temporal and lateral areas along the dorsal, action related stream, as well as left infero-temporal areas along the ventral, object related stream are engaged in object recognition. Here we show that expertise modulates the activity of dorsal areas in the recognition of man-made objects with clearly specified functions. Expert chess players were faster than chess novices in identifying chess objects and their functional relations. Experts' advantage was domain-specific as there were no differences between groups in a control task featuring geometrical shapes. The pattern of eye movements supported the notion that experts' extensive knowledge about domain objects and their functions enabled superior recognition even when experts were not directly fixating the objects of interest. Functional magnetic resonance imaging (fMRI related exclusively the areas along the dorsal stream to chess specific object recognition. Besides the commonly involved left temporal and parietal lateral brain areas, we found that only in experts homologous areas on the right hemisphere were also engaged in chess specific object recognition. Based on these results, we discuss whether skilled object recognition does not only involve a more efficient version of the processes found in non-skilled recognition, but also qualitatively different cognitive processes which engage additional brain areas.

  14. Adaptation of abbreviated mathematics anxiety rating scale for engineering students

    Science.gov (United States)

    Nordin, Sayed Kushairi Sayed; Samat, Khairul Fadzli; Sultan, Al Amin Mohamed; Halim, Bushra Abdul; Ismail, Siti Fatimah; Mafazi, Nurul Wirdah

    2015-05-01

    Mathematics is an essential and fundamental tool used by engineers to analyse and solve problems in their field. Due to this, most engineering education programs involve a concentration of study in mathematics courses whereby engineering students have to take mathematics courses such as numerical methods, differential equations and calculus in the first two years and continue to do so until the completion of the sequence. However, the students struggled and had difficulties in learning courses that require mathematical abilities. Hence, this study presents the factors that caused mathematics anxiety among engineering students using Abbreviated Mathematics Anxiety Rating Scale (AMARS) through 95 students of Universiti Teknikal Malaysia Melaka (UTeM). From 25 items in AMARS, principal component analysis (PCA) suggested that there are four mathematics anxiety factors, namely experiences of learning mathematics, cognitive skills, mathematics evaluation anxiety and students' perception on mathematics. Minitab 16 software was used to analyse the nonparametric statistics. Kruskal-Wallis Test indicated that there is a significant difference in the experience of learning mathematics and mathematics evaluation anxiety among races. The Chi-Square Test of Independence revealed that the experience of learning mathematics, cognitive skills and mathematics evaluation anxiety depend on the results of their SPM additional mathematics. Based on this study, it is recommended to address the anxiety problems among engineering students at the early stage of studying in the university. Thus, lecturers should play their part by ensuring a positive classroom environment which encourages students to study mathematics without fear.

  15. Teaching Mathematics That Addresses Learners' Multiple Intelligences

    Science.gov (United States)

    Gouws, E.; Dicker, A-M.

    2011-01-01

    To meet the demands of our highly technological and globally competitive society, it is becoming increasingly important for all learners in South Africa to obtain skills and knowledge in mathematics. However, South Africa performed the worst of all the countries who participated in the Trends in International Mathematics and Science Study (TIMMS).…

  16. Using the Wonder of Inequalities between Averages for Mathematics Problems Solving

    Science.gov (United States)

    Shaanan, Rachel Mogilevsky; Gordon, Moshe Stupel

    2016-01-01

    The study presents an introductory idea of using mathematical averages as a tool for enriching mathematical problem solving. Throughout students' activities, a research was conducted on their ability to solve mathematical problems, and how to cope with a variety of mathematical tasks, in a variety of ways, using the skills, tools and experiences…

  17. The Cognitive Differences According to Regionality and Mathematical Minds

    Science.gov (United States)

    Park, Inchan; Igarashi, Hiroya; Yamanaka, Toshimasa

    The purpose of this research is to explore factors that create cognitive diversity. We studied two different ways of recognizing images in our preliminary experiment: attribute-oriented thoughts and relationship-oriented thoughts. We examined whether we could observe the divergences in recognition processes between Asian and European cultures. From the result, we found that European (Dutch and British) subjects had stronger tendencies in attribute-oriented thoughts than the Korean subjects. However, in spite of their regional similarity, the Japanese subjects had greater tendencies in attribute-oriented thoughts than Korean subjects when comparing two Asian countries. This result made us question if there would be any other factors that could create the cognitive differences. Through the consideration of the participants' educational background, we found a possibility that the mathematical thoughts of the European and Japanese subjects were greater than the Korean subjects. Furthermore, in our subsequent study, we discovered that mathematical minds (skill and interest) effected on creating attribute-oriented thoughts as factors. We found the interesting discovery of the Japanese male participants, who had different cognitive tendencies with their mathematical skills and interests; the male subjects who had high-leveled mathematical skills, and who liked mathematics showed stronger tendencies of Attribute-oriented thoughts than those who did not. Based on the result, a possibility was suggested that the Japanese males' strong mathematical minds might be one of the factors that create the cognitive difference between Japanese and Korean subjects in the preliminary experiment.

  18. Educational Needs Assessment Highlights Several Areas of Emphasis in Teaching Evidence-Based Medicine Skills to Physician Assistant Students.

    Science.gov (United States)

    Kuntz, Susan; Ali, Syed Haris; Hahn, Emily

    2016-08-03

    An assessment of educational needs is essential for curricular reform in medical education. Using the conceptual framework of needs assessment, this study aimed to determine which content should be emphasized in teaching evidence-based medicine (EBM) skills to physician assistant (PA) students. Key content areas were identified from the published literature and objectives for previous courses. A questionnaire-type needs assessment instrument was created and given to a graduating class of PA students (n = 21) at the University of North Dakota. The response format had two 5-option scales, one to assess current skill levels and the other to assess ideal skill levels. Means for each category were calculated, and a mean difference analysis was performed. An average mean difference of 0.5 was noted in 3 domains (information retrieval skills, writing skills, and overall gains), and a mean difference of 0.7 was noted in one domain (statistical skills). Items with a mean difference of ≥ 0.7 were identified for prioritization for curricular reform. Open-ended input from respondents substantiated the need for greater emphasis on these content areas. Several content areas related to EBM skills can be identified and prioritized through a systematically conducted educational needs assessment. This method can be used to identify discrepancies between the existing and ideal states of affairs in PA education.

  19. Investigation in Adopting Skill Education on Higher Mathematics Education%高等数学教学实施素质教育的探讨

    Institute of Scientific and Technical Information of China (English)

    朱省娥

    2001-01-01

    在高等数学教学中如何实施素质教育进行了探 讨,提出了设 想,介绍了有关的教改尝试,并对如何进一步加强高等数学的素质教育提出了建议。%The article investigated the adoption of skill educa tion on higher mathema tics education,making a proposal and explaining the initial experiment which has been made,and suggesting some hows on the further adoption of skill education i n higher mathematics education.

  20. Developing Instructional Mathematical Physics Book Based on Inquiry Approach to Improve Students’ Mathematical Problem Solving Ability

    Directory of Open Access Journals (Sweden)

    Syarifah Fadillah

    2017-03-01

    Full Text Available The problem in this research is to know how the process of developing mathematics physics instructional book based on inquiry approach and its supporting documents to improve students' mathematical problem-solving ability. The purpose of this research is to provide mathematical physics instruction based on inquiry approach and its supporting documents (semester learning activity plan, lesson plan and mathematical problem-solving test to improve students' mathematical problem-solving ability. The development of textbook refers to the ADDIE model, including analysis, design, development, implementation, and evaluation. The validation result from the expert team shows that the textbook and its supporting documents are valid. The test results of the mathematical problem-solving skills show that all test questions are valid and reliable. The result of the incorporation of the textbook in teaching and learning process revealed that students' mathematical problem-solving ability using mathematical physics instruction based on inquiry approach book was better than the students who use the regular book.

  1. Nature and origins of mathematics difficulties in very preterm children: a different etiology than developmental dyscalculia.

    Science.gov (United States)

    Simms, Victoria; Gilmore, Camilla; Cragg, Lucy; Clayton, Sarah; Marlow, Neil; Johnson, Samantha

    2015-02-01

    Children born very preterm (mathematics learning difficulties that are out of proportion to other academic and cognitive deficits. However, the etiology of mathematics difficulties in very preterm children is unknown. We sought to identify the nature and origins of preterm children's mathematics difficulties. One hundred and fifteen very preterm children aged 8-10 y were assessed in school with a control group of 77 term-born classmates. Achievement in mathematics, working memory, visuospatial processing, inhibition, and processing speed were assessed using standardized tests. Numerical representations and specific mathematics skills were assessed using experimental tests. Very preterm children had significantly poorer mathematics achievement, working memory, and visuospatial skills than term-born controls. Although preterm children had poorer performance in specific mathematics skills, there was no evidence of imprecise numerical representations. Difficulties in mathematics were associated with deficits in visuospatial processing and working memory. Mathematics difficulties in very preterm children are associated with deficits in working memory and visuospatial processing not numerical representations. Thus, very preterm children's mathematics difficulties are different in nature from those of children with developmental dyscalculia. Interventions targeting general cognitive problems, rather than numerical representations, may improve very preterm children's mathematics achievement.

  2. Science and mathematics teaching through local games in preschools of Botswana

    Directory of Open Access Journals (Sweden)

    Kabita Bose

    2016-11-01

    Full Text Available This article presents a study regarding preschool teachers’ skills and competencies in teaching science and mathematics. The aim of the project was twofold; one to find out the preschool teachers’ knowledge about mathematics and science concepts and then to develop support material to empower them with skills and competencies to teach these concepts in preschools. A qualitative approach was adopted, and a case study method was used. Data were collected through two workshops and focus group discussions with preschool teachers. The study revealed that the preschool teachers had content knowledge, but lacked pedagogical knowledge that is crucial in teaching of preschool children, and they provided science and mathematics experiences in preschools scarcely. A resource book of 33 local games and rhymes thus was developed as a support material to empower the teachers with skills and competencies to use play to teach science and mathematics in preschools. The resource book developed consists of 33 local games/rhymes and is packaged with the games’ illustrations, steps and rules followed in the games, science and mathematics concepts and competencies that could be taught to children, along with probing questions that would help in teaching of science and mathematics concepts to children.

  3. Applied Mathematics for agronomical engineers in Spain at UPM

    Science.gov (United States)

    Anton, J. M.; Grau, J. B.; Tarquis, A. M.; Fabregat, J.; Sanchez, M. E.

    2009-04-01

    Mathematics, created or discovered, are a global human conceptual endowment, containing large systems of knowledge, and varied skills to use definite parts of them, in creation or discovery, or for applications, e.g. in Physics, or notably in engineering behaviour. When getting upper intellectual levels in the 19th century, the agronomical science and praxis was noticeably or mainly organised in Spain in agronomical engineering schools and also in institutes, together with technician schools, also with different lower lever centres, and they have evolved with progress and they are much changing at present to a EEES schema (Bolonia process). They work in different lines that need some basis or skills from mathematics. The vocation to start such careers, that have varied curriculums, contains only some mathematics, and the number of credits for mathematics is restrained because time is necessary for other initial sciences such as applied chemistry, biology, ecology and soil sciences, but some basis and skill of maths are needed, also with Physics, at least for electricity, machines, construction, economics at initial ground levels, and also for Statistics that are here considered part of Applied Mathematics. The ways of teaching mathematical basis and skills are especial, and are different from the practical ways needed e. g. for Soil Sciences, and they involve especial efforts from students, and especial controls or exams that guide much learning. The mathematics have a very large accepted content that uses mostly a standard logic, and that is remarkably stable and international, rather similar notation and expressions being used with different main languages. For engineering the logical basis is really often not taught, but the use of it is transferred, especially for calculus that requires both adapted somehow simplified schemas and the learning of a specific skill to use it, and also for linear algebra. The basic forms of differential calculus in several

  4. Ethnomathematics: the cultural aspects of mathematics

    Directory of Open Access Journals (Sweden)

    Milton Rosa

    2011-01-01

    Full Text Available Ethnomathematics studies the cultural aspects of mathematics. It presents mathematical concepts of the school curriculum in a way in which these concepts are related to the students¿ cultural and daily experiences, thereby enhancing their abilities to elaborate meaningful connections and deepening their understanding of mathematics. Ethnomathematical approaches to mathematics curriculum are intended to make school mathematics more relevant and meaningful for students and to promote the overall quality of their education. In this context, the implementation of an ethnomathematical perspective in the school mathematics curriculum helps to develop students' intellectual, social, emotional, and political learning by using their own unique cultural referents to impart their knowledge, skills, and attitudes. This kind of curriculum provides ways for students to maintain their identity while succeeding academically.

  5. Using Google Apps to Develop the Mathematical Practices

    Science.gov (United States)

    Layton, Rebecca D.; Cady, Jo Ann; Layton, Christopher A.

    2017-01-01

    Recent recommendations for the teaching of mathematics place an emphasis on the Common Core's Standards for Mathematical Practice (SMP) (CCSSI 2010). The SMPs emphasize constructing viable arguments, critiquing the ideas of others, reasoning abstractly and quantitatively, and using computational procedures. These skills, including the use of…

  6. Integrating Study Skills and Problem Solving into Remedial Mathematics

    Science.gov (United States)

    Cornick, Jonathan; Guy, G. Michael; Beckford, Ian

    2015-01-01

    Students at a large urban community college enrolled in seven classes of an experimental remedial algebra programme, which integrated study skills instruction and collaborative problem solving. A control group of seven classes was taught in a traditional lecture format without study skills instruction. Student performance in the course was…

  7. A Multiple Intelligence Pedagogical Approach in Fifth Grade Mathematics: A Mixed Method Study

    Science.gov (United States)

    Davis, Claudine Davillier

    2012-01-01

    The need for mathematics intervention has increased tremendously over the years, particularly after the No Child Left Behind Act of 2001.Students who lack basic mathematics skills and students who experience mathematics difficulties greatly benefit from mathematics interventions. This study examined mathematics intervention through the use of the…

  8. Test-taking skills of secondary students: The relationship with ...

    African Journals Online (AJOL)

    taking situation in an appropriate manner. This study is aimed at assessing the relationship between students' test-taking skills and each of the following variables: motivation to learn mathematics; mathematics anxiety; attitudes towards ...

  9. Mathematics for multimedia

    CERN Document Server

    Wickerhauser, Mladen Victor

    2003-01-01

    Mathematics and Multimedia focuses on the mathematics behind multimedia applications. This timely and thoroughly modern text is a rigorous survey of selected results from algebra and analysis, requiring only undergraduate math skills.The topics are `gems' chosen for their usefulness in understanding and creating application software for multimedia signal processing and communication.The book is aimed at a wide audience, including computer science and mathematics majors and those interested in employing mathematics in multimedia design and implementation. For the instructor, the material is divided into six chapters that may be presented in six lecture hours each. Thus, the entire text may be covered in one semester, with time left for examinations and student projects. For the student,there are more than 100 exercises with complete solutions, and numerous example programs in Standard C. Each chapter ends with suggestions for further reading. A companion website provides more insight for both instructors and s...

  10. An investigation of mathematics and science instruction in English and Spanish for English language learners

    Science.gov (United States)

    Rodriguez-Esquivel, Marina

    The contextual demands of language in content area are difficult for ELLS. Content in the native language furthers students' academic development and native language skills, while they are learning English. Content in English integrates pedagogical strategies for English acquisition with subject area instruction. The following models of curriculum content are provided in most Miami Dade County Public Schools: (a) mathematics instruction in the native language with science instruction in English or (b) science instruction in the native language with mathematics instruction in English. The purpose of this study was to investigate which model of instruction is more contextually supportive for mathematics and science achievement. A pretest and posttest, nonequivalent group design was used with 94 fifth grade ELLs who received instruction in curriculum model (a) or (b). This allowed for statistical analysis that detected a difference in the means of .5 standard deviations with a power of .80 at the .05 level of significance. Pretreatment and post-treatment assessments of mathematics, reading, and science achievement were obtained through the administration of Aprenda-Segunda Edicion and the Florida Comprehensive Achievement Test. The results indicated that students receiving mathematics in English and Science in Spanish scored higher on achievement tests in both Mathematics and Science than the students who received Mathematics in Spanish and Science in English. In addition, the mean score of students on the FCAT mathematics examination was higher than their mean score on the FCAT science examination regardless of the language of instruction.

  11. How to Assess Creative Thinking Skill in Making Products of Liquid Pressure?

    Science.gov (United States)

    Chasanah, L.; Kaniawati, I.; Hernani, H.

    2017-09-01

    The primary skills that must be possessed in the 21st century curriculum are learning and innovation skills. One of the learning strategies that can train students to innovate and improve creative thinking skills is by applying Science, Technology, Engineering and Mathematics (STEM) in learning. Based on an interview to one of the science teachers that learning that aims to train learning and innovation skills has not been applied to learning in the classroom because there is not enough time, learning materials and assessment instruments used. This study aims to determine the results of the implementation of performance assessment of creative thinking skills on STEM-based learning in junior high school for the material of liquid pressure. This research uses descriptive method. Participants in this study were junior high school students 8th in Kudus area. The research instrument consists of observation sheet, performance assessment and documentation. The result showed that creative thinking skills performance assessment can assess student’s creativity in making products of STEM-based learning for junior high school.

  12. Averages, Areas and Volumes; Cambridge Conference on School Mathematics Feasibility Study No. 45.

    Science.gov (United States)

    Cambridge Conference on School Mathematics, Newton, MA.

    Presented is an elementary approach to areas, columns and other mathematical concepts usually treated in calculus. The approach is based on the idea of average and this concept is utilized throughout the report. In the beginning the average (arithmetic mean) of a set of numbers is considered and two properties of the average which often simplify…

  13. Las Matematicas: Lenguaje Universal. Grados Intermedios, Nivel 5b: Medida Lineal, Perimetro y Area (Mathematics: A Universal Language. Intermediate Grades, Level 5b: Linear Measure, Perimeter and Area).

    Science.gov (United States)

    Dissemination and Assessment Center for Bilingual Education, Austin, TX.

    This is one of a series of student booklets designed for use in a bilingual mathematics program in grades 6-8. The general format is to present each page in both Spanish and English. The mathematical topics in this booklet include measurement, perimeter, and area. (MK)

  14. Using Graphic Organizers to Improve the Reading of Mathematics.

    Science.gov (United States)

    Braselton, Stephania; Decker, Barbara C.

    1994-01-01

    Describes the use of a graphic organizer with fifth graders to teach problem-solving skills and to teach reading skills helpful for comprehending mathematics materials. Suggests that the strategy was effective with students of all ability levels. (SR)

  15. Teacher’s Mathematical Communication Profile in Facilitating and Guiding Discussion

    Science.gov (United States)

    Umami, R.; Budayasa, I. K.; Suwarsono, St.

    2018-01-01

    Teacher’s communication skill plays an important role, one of which is to guide a class discussion for teaching purposes. This study aimed to investigate a teacher’s mathematical communication profile in facilitating and guiding a class discussion. This study is qualitative. A junior teacher of high school (i.e., a teacher with 1 to 5 year teaching experience) teaching mathematics at X-Social Class was selected as the subject of this study. The data was collected by observing the teacher’s mathematical communication in facilitating and guiding a discussion with the rules of sinus as the teaching material, and it was followed by a deep interview. The result showed that the junior teacher facilitated and guided a class discussion include providing responses (answer) addressing students’ difficulties and providing chances for students to propose and explain their ideas and be active in discussion. The junior teacher provides responses at sharp, optimal, and specific manner. In addition, she provides chances for her students to explain their thinking and have a discussion in anticipative, observative, selective, and connective manner. However, the study found that some of high-school teachers develop mathematical communication skills and use them to develop students’ mathematical communication skills.

  16. Ethnomathematics: the cultural aspects of mathematics

    Directory of Open Access Journals (Sweden)

    Milton Rosa

    2011-09-01

    Full Text Available Ethnomathematics studies the cultural aspects of mathematics. It presents mathematical concepts of the school curriculum in a way in which these concepts are related to the students’ cultural and daily experiences, thereby enhancing their abilities to elaborate meaningful connections and deepening their understanding ofmathematics. Ethnomathematical approaches to mathematics curriculum are intended to make school mathematics more relevant and meaningful for students and to promote the overall quality of their education.In this context, the implementation of an ethnomathematical perspective in the school mathematics curriculum helps to develop students’ intellectual, social, emotional, and political learning by using their own unique cultural referents to impart their knowledge, skills, and attitudes. This kind of curriculum providesways for students to maintain their identity while succeeding academically.

  17. A discrete transition to advanced mathematics

    CERN Document Server

    Richmond, Bettina

    2009-01-01

    As the title indicates, this book is intended for courses aimed at bridging the gap between lower-level mathematics and advanced mathematics. The text provides a careful introduction to techniques for writing proofs and a logical development of topics based on intuitive understanding of concepts. The authors utilize a clear writing style and a wealth of examples to develop an understanding of discrete mathematics and critical thinking skills. While including many traditional topics, the text offers innovative material throughout. Surprising results are used to motivate the reader. The last thr

  18. Estimation in the Primary School: Developing a Key Mathematical Skill for Life

    Science.gov (United States)

    Mildenhall, Paula

    2016-01-01

    Very recently, in the "Australian Association of Mathematics Teachers (AAMT)/Australian Industry Group quantitative report" (2014), concerns were raised that school mathematics is lacking real world application. This report highlighted the gaps between school mathematics and the requirements of the workplace. After interviewing industry…

  19. Construction of mathematical knowledge using graphic calculators (CAS) in the mathematics classroom

    Science.gov (United States)

    Hitt, Fernando

    2011-09-01

    Mathematics education researchers are asking themselves about why technology has impacted heavily on the social environment and not in the mathematics classroom. The use of technology in the mathematics classroom has not had the expected impact, as it has been its use in everyday life (i.e. cell phone). What about teachers' opinions? Mathematics teachers can be divided into three categories: those with a boundless overflow (enthusiasm) who want to use the technology without worrying much about the construction of mathematical concepts, those who reject outright the use of technology because they think that their use inhibits the development of mathematical skills and others that reflect on the balance that must exist between paper-pencil activities and use of technology. The mathematics teacher, by not having clear examples that support this last option about the balance of paper-pencil activities and technology, opt for one of the extreme positions outlined above. In this article, we show the results of research on a methodology based on collaborative learning (ACODESA) in the training of mathematics teachers in secondary schools and implementation of activities in an environment of paper-pencil and CAS in the mathematics classroom. We also note that with the development of technology on the use of electronic tablets and interactive whiteboards, these activities will take on greater momentum in the near future.

  20. Junior High School Students’ Understanding and Problem Solving Skills on the Topics of Line and Angles

    Science.gov (United States)

    Irsal, I. L.; Jupri, A.; Prabawanto, S.

    2017-09-01

    Line and angles is important topics to learn to develop the geometry skills and also mathematics skills such as understanding and problem solving skills. But, the fact was given by Indonesian researcher show that Indonesian students’ understanding and problem solving skills still low in this topics. This fact be a background to investigate students’ understanding and problem solving skills in line and angles topics. To investigate these skills, this study used descriptive-qualitative approach. Individual written test (essay) and interview was used in this study. 72 students grade 8th from one of Junior High School in Lembang, worked the written test and 18 of them were interviewed. Based on result, almost of student were have a good instrumental understanding in line and angles topic in same area, but almost all student have a low instrumental understanding in line and angles topic in different area. Almost all student have a low relational understanding. Also, almost all student have a low problem solving skills especially in make and use strategy to solve the problem and looking back their answer. Based on result there is need a meaningfulness learning strategy, which can make students build their understanding and develop their problem solving skill independently.

  1. A reading intervention programme for mathematics students ...

    African Journals Online (AJOL)

    Based on the results of Phase I of a reading skills project in 2000 (SAJHE 16(3) 2002), Phase II was undertaken to set up a reading intervention programme on a voluntary basis for students enrolled in a mathematics access module, to determine whether explicit attention given to reading would improve their reading skills ...

  2. Cognitive and Neural Correlates of Mathematical Giftedness in Adults and Children: A Review

    Directory of Open Access Journals (Sweden)

    Timothy Myers

    2017-10-01

    Full Text Available Most mathematical cognition research has focused on understanding normal adult function and child development as well as mildly and moderately impaired mathematical skill, often labeled developmental dyscalculia and/or mathematical learning disability. In contrast, much less research is available on cognitive and neural correlates of gifted/excellent mathematical knowledge in adults and children. In order to facilitate further inquiry into this area, here we review 40 available studies, which examine the cognitive and neural basis of gifted mathematics. Studies associated a large number of cognitive factors with gifted mathematics, with spatial processing and working memory being the most frequently identified contributors. However, the current literature suffers from low statistical power, which most probably contributes to variability across findings. Other major shortcomings include failing to establish domain and stimulus specificity of findings, suggesting causation without sufficient evidence and the frequent use of invalid backward inference in neuro-imaging studies. Future studies must increase statistical power and neuro-imaging studies must rely on supporting behavioral data when interpreting findings. Studies should investigate the factors shown to correlate with math giftedness in a more specific manner and determine exactly how individual factors may contribute to gifted math ability.

  3. Mathematical writing

    CERN Document Server

    Vivaldi, Franco

    2014-01-01

    This book teaches the art of writing mathematics, an essential -and difficult- skill for any mathematics student.   The book begins with an informal introduction on basic writing principles and a review of the essential dictionary for mathematics. Writing techniques are developed gradually, from the small to the large: words, phrases, sentences, paragraphs, to end with short compositions. These may represent the introduction of a concept, the abstract of a presentation or the proof of a theorem. Along the way the student will learn how to establish a coherent notation, mix words and symbols effectively, write neat formulae, and structure a definition.   Some elements of logic and all common methods of proofs are featured, including various versions of induction and existence proofs. The book concludes with advice on specific aspects of thesis writing (choosing of a title, composing an abstract, compiling a bibliography) illustrated by large number of real-life examples. Many exercises are included; over 150...

  4. Mathematics Anxiety, Working Memory, and Mathematics Performance in Secondary-School Children.

    Science.gov (United States)

    Passolunghi, Maria C; Caviola, Sara; De Agostini, Ruggero; Perin, Chiara; Mammarella, Irene C

    2016-01-01

    Mathematics anxiety (MA) has been defined as "a feeling of tension and anxiety that interferes with the manipulation of numbers and the solving of math problems in a wide variety of ordinary life and academic situations." Previous studies have suggested that a notable proportion of children in primary and secondary school suffer from MA, which is negatively correlated with calculation skills. The processing efficiency and attentional control theories suggest that working memory (WM) also plays an important part in such anxious feelings. The present study aimed to analyze the academic achievement and cognitive profiles of students with high math anxiety (HMA) and low math anxiety (LMA). Specifically, 32 students with HMA and 34 with LMA matched for age, gender, generalized anxiety, and vocabulary attending sixth to eighth grades were selected from a larger sample. The two groups were tested on reading decoding, reading comprehension, mathematics achievement, and on verbal short-term memory and WM. Our findings showed that HMA students were weak in several measures of mathematics achievement, but not in reading and writing skills, and that students with HMA reported lower scores on short-term memory and WM performances (with associated difficulties in inhibiting irrelevant information) than children with LMA. In addition, a logistic regression showed that weaknesses in inhibitory control and fact retrieval were the strongest variables for classifying children as having HMA or LMA.

  5. Mathematics Anxiety, Working Memory and Mathematics Performance in Secondary-School Children

    Directory of Open Access Journals (Sweden)

    Maria Chiara ePassolunghi

    2016-02-01

    Full Text Available Mathematics anxiety (MA has been defined as a feeling of tension and anxiety that interferes with the manipulation of numbers and the solving of math problems in a wide variety of ordinary life and academic situations. Previous studies have suggested that a notable proportion of children in primary and secondary school suffer from MA, which is negatively correlated with calculation skills. The processing efficiency and attentional control theories suggest that working memory (WM also plays an important part in such anxious feelings.The present study aimed to analyze the academic achievement and cognitive profiles of students with high math anxiety (HMA and low math anxiety (LMA. Specifically, 32 students with HMA and 34 with LMA matched for age, gender, generalized anxiety, and vocabulary attending sixth to eighth grades were selected from a larger sample. The two groups were tested on reading decoding, reading comprehension, mathematics achievement, and on verbal short-term memory and WM. Our findings showed that HMA students were weak in several measures of mathematics achievement, but not in reading and writing skills, and that students with HMA reported lower scores on short-term memory and WM performances (with associated difficulties in inhibiting irrelevant information than children with LMA. In addition, a logistic regression showed that weaknesses in inhibitory control and fact retrieval were the strongest variables for classifying children as having HMA or LMA.

  6. FEATURES OF FOREIGN STUDENTS PRE-UNIVERSITY MATHEMATICAL TRAINING

    Directory of Open Access Journals (Sweden)

    Наталья Александровна Пыхтина

    2017-12-01

    Full Text Available The aim of improving the international competitiveness of the higher education Russian system at the global level by increasing the number of foreign students leads to the fact, that pre-university training is becoming essential for next years at higher educational programmes.Pre-university mathematical training of international students contributes to the scientific style formation of speech skills, which is so useful in higher educational institute. This article highlights some of the features of foreign students pre-university mathematical training.Design of “Mathematics” course methodical ware for preparatory departments of higher educational institutions is an important element of the educational process. Features of mathematics teaching are shown by the example of such important for foreign students pre-university mathematical training branch of mathematics like the set theory.The article also gives consideration to such aspects of mathematics teaching for foreign students as the inclusion of text mathematical problems in the “Mathematics” course programme for helping to achieve lexical skills and abilities, as well as the organization of individual work of the students with the use of information and communication technologies.The paper refers to the collection of exercises and tasks for the “Mathematics” course for foreign citizens studying at the preparatory departments of higher educational institutions, it additionally gives the themes of the course.

  7. Intentional and Automatic Numerical Processing as Predictors of Mathematical Abilities in Primary School Children

    Directory of Open Access Journals (Sweden)

    Violeta ePina

    2015-03-01

    Full Text Available Previous studies have suggested that numerical processing relates to mathematical performance, but it seems that such relationship is more evident for intentional than for automatic numerical processing. In the present study we assessed the relationship between the two types of numerical processing and specific mathematical abilities in a sample of 109 children in grades 1 to 6. Participants were tested in an ample range of mathematical tests and also performed both a numerical and a size comparison task. The results showed that numerical processing related to mathematical performance only when inhibitory control was involved in the comparison tasks. Concretely, we found that intentional numerical processing, as indexed by the numerical distance effect in the numerical comparison task, was related to mathematical reasoning skills only when the task-irrelevant dimension (the physical size was incongruent; whereas automatic numerical processing, indexed by the congruency effect in the size comparison task, was related to mathematical calculation skills only when digits were separated by small distance. The observed double dissociation highlights the relevance of both intentional and automatic numerical processing in mathematical skills, but when inhibitory control is also involved.

  8. Numerical capacities as domain-specific predictors beyond early mathematics learning: a longitudinal study.

    Science.gov (United States)

    Reigosa-Crespo, Vivian; González-Alemañy, Eduardo; León, Teresa; Torres, Rosario; Mosquera, Raysil; Valdés-Sosa, Mitchell

    2013-01-01

    The first aim of the present study was to investigate whether numerical effects (Numerical Distance Effect, Counting Effect and Subitizing Effect) are domain-specific predictors of mathematics development at the end of elementary school by exploring whether they explain additional variance of later mathematics fluency after controlling for the effects of general cognitive skills, focused on nonnumerical aspects. The second aim was to address the same issues but applied to achievement in mathematics curriculum that requires solutions to fluency in calculation. These analyses assess whether the relationship found for fluency are generalized to mathematics content beyond fluency in calculation. As a third aim, the domain specificity of the numerical effects was examined by analyzing whether they contribute to the development of reading skills, such as decoding fluency and reading comprehension, after controlling for general cognitive skills and phonological processing. Basic numerical capacities were evaluated in children of 3(rd) and 4(th) grades (n=49). Mathematics and reading achievements were assessed in these children one year later. Results showed that the size of the Subitizing Effect was a significant domain-specific predictor of fluency in calculation and also in curricular mathematics achievement, but not in reading skills, assessed at the end of elementary school. Furthermore, the size of the Counting Effect also predicted fluency in calculation, although this association only approached significance. These findings contrast with proposals that the core numerical competencies measured by enumeration will bear little relationship to mathematics achievement. We conclude that basic numerical capacities constitute domain-specific predictors and that they are not exclusively "start-up" tools for the acquisition of Mathematics; but they continue modulating this learning at the end of elementary school.

  9. Enhancing Arithmetic and Word-Problem Solving Skills Efficiently by Individualized Computer-Assisted Practice

    Science.gov (United States)

    Schoppek, Wolfgang; Tulis, Maria

    2010-01-01

    The fluency of basic arithmetical operations is a precondition for mathematical problem solving. However, the training of skills plays a minor role in contemporary mathematics instruction. The authors proposed individualization of practice as a means to improve its efficiency, so that the time spent with the training of skills is minimized. As a…

  10. Studying the Ability of 7th Grade Students to Define the Circle and Its Elements in the Context of Mathematical Language

    Science.gov (United States)

    Akarsu, Esra; Yilmaz, Süha

    2015-01-01

    In this study, it was aimed to study the mathematical language skills that the 7th grade students use in defining the circle and its elements. In the study, the mathematical language skills of students that they use in defining the circle and its elements in a scenario were compared to the mathematical language skills they use in defining them…

  11. Promotion and diffusion of tha career Bachelor and Licenciature of Mathematics Teaching in rural areas of Costa Rica project: effects and results

    Directory of Open Access Journals (Sweden)

    Jorge Arroyo Hernández

    2016-03-01

    Full Text Available This article describes the purpose and activities of the project Promoting Mathematics Education in Rural Areas of Costa Rica. The activity has focused on two objectives. First, supporting and monitoring students who have expressed interest in studying a mathematics teacher. To achieve this, it has been working with students who have an ideal profile for the career, mainly from rural areas. The second objective is to conduct training workshops for high school in-service teachers, to strengthen and improve their knowledge in the area of mathematics. Among the results of the project, it can be highlighted a significant increase in the enrollment of students in the career of Mathematics Education in 2010 and 2011, and the training processes in the field of Real Functions of Real Variable and Geometry at different regional areas mostly rural as Aguirre, Sarapiquí, Coto, Buenos Aires, Limón, Cañas, Pérez Zeledón, Nicoya, Los Santos, Turrialba, Puriscal, Desamparados, San Carlos, Puntarenas, Limón, Liberia, Santa Cruz y Upala.

  12. A mathematics course for political and social research

    CERN Document Server

    Moore, Will H

    2013-01-01

    Political science and sociology increasingly rely on mathematical modeling and sophisticated data analysis, and many graduate programs in these fields now require students to take a ""math camp"" or a semester-long or yearlong course to acquire the necessary skills. Available textbooks are written for mathematics or economics majors, and fail to convey to students of political science and sociology the reasons for learning often-abstract mathematical concepts. A Mathematics Course for Political and Social Research fills this gap, providing both a primer for math novices in the social s

  13. Mathematical bridges

    CERN Document Server

    Andreescu, Titu; Tetiva, Marian

    2017-01-01

    Building bridges between classical results and contemporary nonstandard problems, Mathematical Bridges embraces important topics in analysis and algebra from a problem-solving perspective. Blending old and new techniques, tactics and strategies used in solving challenging mathematical problems, readers will discover numerous genuine mathematical gems throughout that will heighten their appreciation of the inherent beauty of mathematics. Most of the problems are original to the authors and are intertwined in a well-motivated exposition driven by representative examples. The book is structured to assist the reader in formulating and proving conjectures, as well as devising solutions to important mathematical problems by making connections between various concepts and ideas from different areas of mathematics. Instructors and educators teaching problem-solving courses or organizing mathematics clubs, as well as motivated mathematics students from high school juniors to college seniors, will find Mathematical Bri...

  14. Are students who have been educated in an outcomes-based approach prepared for university mathematics?

    Directory of Open Access Journals (Sweden)

    Johann Engelbrecht

    2009-09-01

    the will to work. However, in many instances, their general mathematical attributes such as algebraic manipulation skills and their general mastery of mathematical writing are worse than those of students in the past. There are also areas where their content knowledge is either lacking or unexpectedly shallow. It therefore appears that these students have improved personal attributes but not necessarily the knowledge and mathematical skills to back them up. Some recommendations are made with regard to handling the situation. It is clear that the new school system necessitates changes at school level with a view to university level in order to ensure a transition that is surmountable.

  15. Impact of a required pharmaceutical calculations course on mathematics ability and knowledge retention.

    Science.gov (United States)

    Hegener, Michael A; Buring, Shauna M; Papas, Elizabeth

    2013-08-12

    To assess doctor of pharmacy (PharmD) students' mathematics ability by content area before and after completing a required pharmaceutical calculations course and to analyze changes in scores. A mathematics skills assessment was administered to 2 cohorts of pharmacy students (class of 2013 and 2014) before and after completing a pharmaceutical calculations course. The posttest was administered to the second cohort 6 months after completing the course to assess knowledge retention. Both cohorts performed significantly better on the posttest (cohort 1, 13% higher scores; cohort 2, 15.9% higher scores). Significant improvement on posttest scores was observed in 6 of the 10 content areas for cohorts 1 and 2. Both cohorts scored lower in percentage calculations on the posttest than on the pretest. A required, 1-credit-hour pharmaceutical calculations course improved PharmD students' overall ability to perform fundamental and application-based calculations.

  16. Mathematics for physical chemistry

    CERN Document Server

    Mortimer, Robert G

    2005-01-01

    Mathematics for Physical Chemistry, Third Edition, is the ideal text for students and physical chemists who want to sharpen their mathematics skills. It can help prepare the reader for an undergraduate course, serve as a supplementary text for use during a course, or serve as a reference for graduate students and practicing chemists. The text concentrates on applications instead of theory, and, although the emphasis is on physical chemistry, it can also be useful in general chemistry courses. The Third Edition includes new exercises in each chapter that provide practice in a technique immediately after discussion or example and encourage self-study. The first ten chapters are constructed around a sequence of mathematical topics, with a gradual progression into more advanced material. The final chapter discusses mathematical topics needed in the analysis of experimental data.* Numerous examples and problems interspersed throughout the presentations * Each extensive chapter contains a preview, objectives, and ...

  17. Measuring the Effectiveness of a Mathematics Support Service: An Email Survey

    Science.gov (United States)

    Gillard, Jonathan; Robathan, Kirsty; Wilson, Robert

    2011-01-01

    Over the last decade the "mathematics problem" (students lacking basic mathematical skills on entry into higher education), and proposed solutions of this problem have been widely debated. One method to help combat this issue has been the introduction of mathematics support centres across higher education institutions. This article describes the…

  18. Mathematical Modeling with Middle School Students: The Robot Art Model-Eliciting Activity

    Science.gov (United States)

    Stohlmann, Micah S.

    2017-01-01

    Internationally mathematical modeling is garnering more attention for the benefits associated with it. Mathematical modeling can develop students' communication skills and the ability to demonstrate understanding through different representations. With the increased attention on mathematical modeling, there is a need for more curricula to be…

  19. Investigating and developing engineering students' mathematical modelling and problem-solving skills

    Science.gov (United States)

    Wedelin, Dag; Adawi, Tom; Jahan, Tabassum; Andersson, Sven

    2015-09-01

    How do engineering students approach mathematical modelling problems and how can they learn to deal with such problems? In the context of a course in mathematical modelling and problem solving, and using a qualitative case study approach, we found that the students had little prior experience of mathematical modelling. They were also inexperienced problem solvers, unaware of the importance of understanding the problem and exploring alternatives, and impeded by inappropriate beliefs, attitudes and expectations. Important impacts of the course belong to the metacognitive domain. The nature of the problems, the supervision and the follow-up lectures were emphasised as contributing to the impacts of the course, where students show major development. We discuss these empirical results in relation to a framework for mathematical thinking and the notion of cognitive apprenticeship. Based on the results, we argue that this kind of teaching should be considered in the education of all engineers.

  20. Quality and Equality: Basic Skill Requirements at the University Level.

    Science.gov (United States)

    Guskin, Alan E.; Greenebaum, Ben

    1979-01-01

    The University of Wisconsin-Parkside's comprehensive collegiate skills program is described from proposal to implementation. Junior year students must demonstrate competence in: writing, reading, mathematics, research paper writing, and library skills. (MLW)

  1. [Benefits of Measures to Promote Development in Language, Mathematics and Singing in Kindergardeners: Analysis of Data Collected at School Entrance Examination in the County of Biberach].

    Science.gov (United States)

    Hart, Ulrike; Wildner, Manfred; Krämer, Daniela; Crispin, Alexander

    2018-02-01

    To evaluate the benefits of implementing measures to promote skills in the areas of language, mathematics and singing in kindergardeners by statistical analysis of data collected during the school entrance examination (ESU) of 4-5-year-old children from the county of Biberach. Study 1 employs multivariate regression analysis to analyse - in chronological order - the ESU data on 4 cohorts (2011-2014; n=7 148) of children of the Biberach county. Study 2 qualitatively compares identical data representative of the entire state of Baden-Württemberg (N=3×80 000) with the Biberach results. Study 3 focuses on the cohort 2014 in Biberach county (n=1 783) and employs logistical regression techniques to correlate curriculum content and child development. There are significant performance improvements in the Biberach population (2011-2014) in the development of language and early mathematics, as well as in visual comprehension and visuomotor skills, but not in the area of gross motor skills. Similar improvements are much more difficult to demonstrate for the entire state of Baden-Württemberg. The detailed analysis of the 2014 Biberach County data reveal that kindergardeners with increased exposure to mathematics will have a decreased risk of failure in early mathematics (OR 0.72) and grammar skills (OR 0.53-0.75). Children with speech impairment or children not fluent in German that had extra language tutorials, typically in small groups and 4 times a week for 30 min, still have a higher risk of failure in all developmental aspects, save gross motor skills (e. g. OR 3.32 in grammar skills, OR 3.08 for hyperactivity). Programs with emphasis on singing have little effect on the above data. The risk of failure in German language is high (OR 2.78) for those of non-German backgrounds, but less in visuomotor skills (OR 0.52) and hyperactivity (OR 0.51). Statistical analyses show positive correlation of curriculum content and early child development for the kindergardens

  2. Integrating quantitative thinking into an introductory biology course improves students' mathematical reasoning in biological contexts.

    Science.gov (United States)

    Hester, Susan; Buxner, Sanlyn; Elfring, Lisa; Nagy, Lisa

    2014-01-01

    Recent calls for improving undergraduate biology education have emphasized the importance of students learning to apply quantitative skills to biological problems. Motivated by students' apparent inability to transfer their existing quantitative skills to biological contexts, we designed and taught an introductory molecular and cell biology course in which we integrated application of prerequisite mathematical skills with biology content and reasoning throughout all aspects of the course. In this paper, we describe the principles of our course design and present illustrative examples of course materials integrating mathematics and biology. We also designed an outcome assessment made up of items testing students' understanding of biology concepts and their ability to apply mathematical skills in biological contexts and administered it as a pre/postcourse test to students in the experimental section and other sections of the same course. Precourse results confirmed students' inability to spontaneously transfer their prerequisite mathematics skills to biological problems. Pre/postcourse outcome assessment comparisons showed that, compared with students in other sections, students in the experimental section made greater gains on integrated math/biology items. They also made comparable gains on biology items, indicating that integrating quantitative skills into an introductory biology course does not have a deleterious effect on students' biology learning.

  3. Integrating Quantitative Thinking into an Introductory Biology Course Improves Students’ Mathematical Reasoning in Biological Contexts

    Science.gov (United States)

    Hester, Susan; Buxner, Sanlyn; Elfring, Lisa; Nagy, Lisa

    2014-01-01

    Recent calls for improving undergraduate biology education have emphasized the importance of students learning to apply quantitative skills to biological problems. Motivated by students’ apparent inability to transfer their existing quantitative skills to biological contexts, we designed and taught an introductory molecular and cell biology course in which we integrated application of prerequisite mathematical skills with biology content and reasoning throughout all aspects of the course. In this paper, we describe the principles of our course design and present illustrative examples of course materials integrating mathematics and biology. We also designed an outcome assessment made up of items testing students’ understanding of biology concepts and their ability to apply mathematical skills in biological contexts and administered it as a pre/postcourse test to students in the experimental section and other sections of the same course. Precourse results confirmed students’ inability to spontaneously transfer their prerequisite mathematics skills to biological problems. Pre/postcourse outcome assessment comparisons showed that, compared with students in other sections, students in the experimental section made greater gains on integrated math/biology items. They also made comparable gains on biology items, indicating that integrating quantitative skills into an introductory biology course does not have a deleterious effect on students’ biology learning. PMID:24591504

  4. Introduction to mathematical physics methods and concepts

    CERN Document Server

    Wong, Chun Wa

    2013-01-01

    Mathematical physics provides physical theories with their logical basis and the tools for drawing conclusions from hypotheses. Introduction to Mathematical Physics explains to the reader why and how mathematics is needed in the description of physical events in space. For undergraduates in physics, it is a classroom-tested textbook on vector analysis, linear operators, Fourier series and integrals, differential equations, special functions and functions of a complex variable. Strongly correlated with core undergraduate courses on classical and quantum mechanics and electromagnetism, it helps the student master these necessary mathematical skills. It contains advanced topics of interest to graduate students on relativistic square-root spaces and nonlinear systems. It contains many tables of mathematical formulas and references to useful materials on the Internet. It includes short tutorials on basic mathematical topics to help readers refresh their mathematical knowledge. An appendix on Mathematica encourages...

  5. Mathematics Education: Student Terminal Goals, Program Goals, and Behavioral Objectives.

    Science.gov (United States)

    Mesa Public Schools, AZ.

    Behavioral objectives are listed for the primary, intermediate and junior high mathematics curriculum in the Mesa Public Schools (Arizona). Lists of specific objectives are given by level for sets, symbol recognition, number operations, mathematical structures, measurement and problem solving skills. (JP)

  6. Didactic trajectory of research in mathematics education using research-based learning

    Science.gov (United States)

    Charitas Indra Prahmana, Rully; Kusumah, Yaya S.; Darhim

    2017-10-01

    This study aims to describe the role of research-based learning in design a learning trajectory of research in mathematics education to enhance research and academic writing skills for pre-service mathematics teachers. The method used is a design research with three stages, namely the preliminary design, teaching experiment, and retrospective analysis. The research subjects are pre-service mathematics teacher class of 2012 from one higher education institution in Tangerang - Indonesia. The use of research-based learning in designing learning trajectory of research in mathematics education plays a crucial role as a trigger to enhancing math department preservice teachers research and academic writing skills. Also, this study also describes the design principles and characteristics of the learning trajectory namely didactic trajectory generated by the role of research-based learning syntax.

  7. Is the SNARC effect related to the level of mathematics? No systematic relationship observed despite more power, more repetitions, and more direct assessment of arithmetic skill.

    Science.gov (United States)

    Cipora, Krzysztof; Nuerk, Hans-Christoph

    2013-01-01

    The SNARC (spatial-numerical association of response codes) described that larger numbers are responded faster with the right hand and smaller numbers with the left hand. It is held in the literature that arithmetically skilled and nonskilled adults differ in the SNARC. However, the respective data are descriptive, and the decisive tests are nonsignificant. Possible reasons for this nonsignificance could be that in previous studies (a) very small samples were used, (b) there were too few repetitions producing too little power and, consequently, reliabilities that were too small to reach conventional significance levels for the descriptive skill differences in the SNARC, and (c) general mathematical ability was assessed by the field of study of students, while individual arithmetic skills were not examined. Therefore we used a much bigger sample, a lot more repetitions, and direct assessment of arithmetic skills to explore relations between the SNARC effect and arithmetic skills. Nevertheless, a difference in SNARC effect between arithmetically skilled and nonskilled participants was not obtained. Bayesian analysis showed positive evidence of a true null effect, not just a power problem. Hence we conclude that the idea that arithmetically skilled and nonskilled participants generally differ in the SNARC effect is not warranted by our data.

  8. Influence of Problem-Based Learning Model of Learning to the Mathematical Communication Ability of Students of Grade XI IPA SMAN 14 Padang

    Science.gov (United States)

    Nisa, I. M.

    2018-04-01

    The ability of mathematical communication is one of the goals of learning mathematics expected to be mastered by students. However, reality in the field found that the ability of mathematical communication the students of grade XI IPA SMA Negeri 14 Padang have not developed optimally. This is evident from the low test results of communication skills mathematically done. One of the factors that causes this happens is learning that has not been fully able to facilitate students to develop mathematical communication skills well. By therefore, to improve students' mathematical communication skills required a model in the learning activities. One of the models learning that can be used is Problem Based learning model Learning (PBL). The purpose of this study is to see whether the ability the students' mathematical communication using the PBL model better than the students' mathematical communication skills of the learning using conventional learning in Class XI IPA SMAN 14 Padang. This research type is quasi experiment with design Randomized Group Only Design. Population in this research that is student of class XI IPA SMAN 14 Padang with sample class XI IPA 3 and class XI IPA 4. Data retrieval is done by using communication skill test mathematically shaped essay. To test the hypothesis used U-Mann test Whitney. Based on the results of data analysis, it can be concluded that the ability mathematical communication of students whose learning apply more PBL model better than the students' mathematical communication skills of their learning apply conventional learning in class XI IPA SMA 14 Padang at α = 0.05. This indicates that the PBL learning model effect on students' mathematical communication ability.

  9. Enhancing Students' Communication Skills through Treffinger Teaching Model

    Science.gov (United States)

    Alhaddad, Idrus; Kusumah, Yaya S.; Sabandar, Jozua; Dahlan, Jarnawi A.

    2015-01-01

    This research aims to investigate, compare, and describe the achievement and enhancement of students' mathematical communication skills (MCS). It based on the prior mathematical knowledge (PMK) category (high, medium and low) by using Treffinger models (TM) and conventional learning (CL). This research is an experimental study with the population…

  10. Domain General Mediators of the Relation between Kindergarten Number Sense and First-Grade Mathematics Achievement

    Science.gov (United States)

    Hassinger-Das, Brenna; Jordan, Nancy C.; Glutting, Joseph; Irwin, Casey; Dyson, Nancy

    2013-01-01

    Domain general skills that mediate the relation between kindergarten number sense and first-grade mathematics skills were investigated. Participants were 107 children who displayed low number sense in the fall of kindergarten. Controlling for background variables, multiple regression analyses showed that attention problems and executive functioning both were unique predictors of mathematics outcomes. Attention problems were more important for predicting first-grade calculation performance while executive functioning was more important for predicting first-grade performance on applied problems. Moreover, both executive functioning and attention problems were unique partial mediators of the relationship between kindergarten and first-grade mathematics skills. The results provide empirical support for developing interventions that target executive functioning and attention problems in addition to instruction in number skills for kindergartners with initial low number sense. PMID:24237789

  11. Disentangling Mathematics Target and Access Skills: Implications for Accommodation Assignment Practices

    Science.gov (United States)

    Ketterlin-Geller, Leanne R.; Jamgochian, Elisa M.; Nelson-Walker, Nancy J.; Geller, Joshua P.

    2012-01-01

    Appropriate assignment of accommodations is predicated on a clear distinction between target skills and access skills. In this study, we examine the agreement between test developer/researchers' and educators' classification of target and access skills as a possible explanatory mechanism for assigning accommodations. Findings indicate that…

  12. A Developmental Mapping Program Integrating Geography and Mathematics.

    Science.gov (United States)

    Muir, Sharon Pray; Cheek, Helen Neely

    Presented and discussed is a model which can be used by educators who want to develop an interdisciplinary map skills program in geography and mathematics. The model assumes that most children in elementary schools perform cognitively at Piaget's concrete operational stage, that readiness for map skills can be assessed with Piagetian or…

  13. Numerical Capacities as Domain-Specific Predictors beyond Early Mathematics Learning: A Longitudinal Study

    Science.gov (United States)

    Reigosa-Crespo, Vivian; González-Alemañy, Eduardo; León, Teresa; Torres, Rosario; Mosquera, Raysil; Valdés-Sosa, Mitchell

    2013-01-01

    The first aim of the present study was to investigate whether numerical effects (Numerical Distance Effect, Counting Effect and Subitizing Effect) are domain-specific predictors of mathematics development at the end of elementary school by exploring whether they explain additional variance of later mathematics fluency after controlling for the effects of general cognitive skills, focused on nonnumerical aspects. The second aim was to address the same issues but applied to achievement in mathematics curriculum that requires solutions to fluency in calculation. These analyses assess whether the relationship found for fluency are generalized to mathematics content beyond fluency in calculation. As a third aim, the domain specificity of the numerical effects was examined by analyzing whether they contribute to the development of reading skills, such as decoding fluency and reading comprehension, after controlling for general cognitive skills and phonological processing. Basic numerical capacities were evaluated in children of 3rd and 4th grades (n=49). Mathematics and reading achievements were assessed in these children one year later. Results showed that the size of the Subitizing Effect was a significant domain-specific predictor of fluency in calculation and also in curricular mathematics achievement, but not in reading skills, assessed at the end of elementary school. Furthermore, the size of the Counting Effect also predicted fluency in calculation, although this association only approached significance. These findings contrast with proposals that the core numerical competencies measured by enumeration will bear little relationship to mathematics achievement. We conclude that basic numerical capacities constitute domain-specific predictors and that they are not exclusively “start-up” tools for the acquisition of Mathematics; but they continue modulating this learning at the end of elementary school. PMID:24255710

  14. Modelling Mathematical Reasoning in Physics Education

    Science.gov (United States)

    Uhden, Olaf; Karam, Ricardo; Pietrocola, Maurício; Pospiech, Gesche

    2012-04-01

    Many findings from research as well as reports from teachers describe students' problem solving strategies as manipulation of formulas by rote. The resulting dissatisfaction with quantitative physical textbook problems seems to influence the attitude towards the role of mathematics in physics education in general. Mathematics is often seen as a tool for calculation which hinders a conceptual understanding of physical principles. However, the role of mathematics cannot be reduced to this technical aspect. Hence, instead of putting mathematics away we delve into the nature of physical science to reveal the strong conceptual relationship between mathematics and physics. Moreover, we suggest that, for both prospective teaching and further research, a focus on deeply exploring such interdependency can significantly improve the understanding of physics. To provide a suitable basis, we develop a new model which can be used for analysing different levels of mathematical reasoning within physics. It is also a guideline for shifting the attention from technical to structural mathematical skills while teaching physics. We demonstrate its applicability for analysing physical-mathematical reasoning processes with an example.

  15. Teachers' Attitudes towards Mathematics in Early Childhood Education

    Science.gov (United States)

    Thiel, Oliver

    2010-01-01

    In Germany during the past few years the nursery school (for ages three-six) is increasingly regarded as an educational institution rather than a childcare centre. This is reflected in the increasing number of curricula for young children, which include mathematics as a domain of learning skills. In the past mathematics has not been part of the…

  16. Teaching Secondary School Mathematics and Statistics: Evidence-Based Practice. Volume 1

    Science.gov (United States)

    Averill, Robin; Harvey, Roger

    2009-01-01

    "Mathematics is more than skills... it is also the excitement of discovery." This is how Derek Holton, one of the contributing authors to this book, defines mathematics. His enthusiasm and energy are echoed throughout by many of the other writers. This is a book to delight mathematics teachers at all stages: experienced and inexperienced;…

  17. Contemporary mathematical physics

    CERN Document Server

    Dobrushin, R L; Shubin, M A; Vershik, Anatoly M

    1996-01-01

    This first of a two-volume collection is a celebration of the scientific heritage of F. A. Berezin (1931-1980). Before his untimely death, Berezin had an important influence on physics and mathematics, discovering new ideas in mathematical physics, representation theory, analysis, geometry, and other areas of mathematics. His crowning achievements were the introduction of a new notion of deformation quantization, and Grassmannian analysis ("supermathematics"). Collected here are papers by his many of his colleagues and others who worked in related areas, representing a wide spectrum of topics

  18. Mathematical methods for physicists a comprehensive guide

    CERN Document Server

    Arfken, George B; Harris, Frank E

    2012-01-01

    Now in its 7th edition, Mathematical Methods for Physicists continues to provide all the mathematical methods that aspiring scientists and engineers are likely to encounter as students and beginning researchers. This bestselling text provides mathematical relations and their proofs essential to the study of physics and related fields. While retaining the key features of the 6th edition, the new edition provides a more careful balance of explanation, theory, and examples. Taking a problem-solving-skills approach to incorporating theorems with applications, the book's improved focus w

  19. Could Elementary Mathematics Textbooks Help Give Attention to Reasons in the Classroom?

    Science.gov (United States)

    Newton, Douglas P.; Newton, Lynn D.

    2007-01-01

    Trainee teachers, new and non-specialist teachers of elementary mathematics have a tendency to avoid thought about reasons in mathematics. Instead, they tend to favour the development of computational skill through the rote application of procedures, routines and algorithms. Could elementary mathematics textbooks serve as models of practice and…

  20. Mathematics for sustainability

    CERN Document Server

    Roe, John; Jamshidi, Sara

    2018-01-01

    Designed for the 21st century classroom, this textbook poses, refines, and analyzes questions of sustainability in a quantitative environment. Building mathematical knowledge in the context of issues relevant to every global citizen today, this text takes an approach that empowers students of all disciplines to understand and reason with quantitative information. Whatever conclusions may be reached on a given topic, this book will prepare the reader to think critically about their own and other people’s arguments and to support them with careful, mathematical reasoning. Topics are grouped in themes of measurement, flow, connectivity, change, risk, and decision-making. Mathematical thinking is at the fore throughout, as students learn to model sustainability on local, regional, and global scales. Exercises emphasize concepts, while projects build and challenge communication skills. With no prerequisites beyond high school algebra, instructors will find this book a rich resource for engaging all majors in the...

  1. Special Education Teachers' Views on Using Technology in Teaching Mathematics

    Science.gov (United States)

    Baglama, Basak; Yikmis, Ahmet; Demirok, Mukaddes Sakalli

    2017-01-01

    Individuals with special needs require support in acquiring various academic and social skills and mathematical skills are one of the most important skills in which individuals with special needs need to acquire in order to maintain their daily lives. Current approaches in education emphasize the importance of integrating technology into special…

  2. Episodes in the mathematics of medieval Islam

    CERN Document Server

    Berggren, J L

    1986-01-01

    From the reviews: The book is, in spite of the author's more modest claims, an introductory survey of main developments in those disciplines which were particularly important in Medieval Islamic mathematics...No knowledge of mathematics (or of the history of mathematics) beyond normal high-school level is presupposed, and everything required beyond that (be it Apollonian theory of conics or the definitions of celestial circles) is explained carefully and clearly. Scattered throughout the work are a number of lucid remarks on the character of Islamic mathematics or of mathematical work in general. The book will hence not only be an excellent textbook for the teaching of the history of mathematics but also for the liberal art aspect of mathematics teaching in general. - Jens Høyrup, Mathematical Reviews ...as a textbook, this work is highly commendable...It is definitely the product of a skillful mathematician who has collected over the years a reasonably large number of interesting problems from medieval Arab...

  3. Teaching Writing and Communication in a Mathematical Modeling Course

    Science.gov (United States)

    Linhart, Jean Marie

    2014-01-01

    Writing and communication are essential skills for success in the workplace or in graduate school, yet writing and communication are often the last thing that instructors think about incorporating into a mathematics course. A mathematical modeling course provides a natural environment for writing assignments. This article is an analysis of the…

  4. "Lettuce" Learn Math: Teaching Mathematics with Seeds and Centimeters

    Science.gov (United States)

    Rickard, Laura N.; Wilson, Colette

    2006-01-01

    "Lettuce Learn Math" is an interdisciplinary program that has effectively linked a small-scale agricultural production system to a sixth-grade mathematics and science curriculum. The mathematical concepts and skills, including measurement and geometry, taught in this project met and often exceeded the standards set by New York state for…

  5. Improving basic math skills through integrated dynamic representation strategies.

    Science.gov (United States)

    González-Castro, Paloma; Cueli, Marisol; Cabeza, Lourdes; Álvarez-García, David; Rodríguez, Celestino

    2014-01-01

    In this paper, we analyze the effectiveness of the Integrated Dynamic Representation strategy (IDR) to develop basic math skills. The study involved 72 students, aged between 6 and 8 years. We compared the development of informal basic skills (numbers, comparison, informal calculation, and informal concepts) and formal (conventionalisms, number facts, formal calculus, and formal concepts) in an experimental group (n = 35) where we applied the IDR strategy and in a Control group (n = 37) in order to identify the impact of the procedure. The experimental group improved significantly in all variables except for number facts and formal calculus. It can therefore be concluded that IDR favors the development of the skills more closely related to applied mathematics than those related to automatic mathematics and mental arithmetic.

  6. The Role of the Mathematics Supervisor in K-12 Education

    Science.gov (United States)

    Greenes, Carole

    2013-01-01

    The implementation of "the Common Core Standards for Mathematics" and the assessments of those concepts, skills, reasoning methods, and mathematical practices that are in development necessitate the updating of teachers' knowledge of content, pedagogical techniques to enhance engagement and persistence, and strategies for responding to…

  7. Our Prospective Mathematic Teachers Are Not Critical Thinkers Yet

    Science.gov (United States)

    As'ari, Abdur Rahman; Mahmudi, Ali; Nuerlaelah, Elah

    2017-01-01

    In order to help students develop their critical thinking skills, teachers need to model the critical thinking skills and dispositions in front of their students. Unfortunately, very rare studies investigating prospective teachers' readiness in critical thinking dispositions are available in the field of mathematics education. This study was…

  8. Elementary School Mathematics Priorities

    Science.gov (United States)

    Wilson, W. Stephen

    2009-01-01

    This article first describes some of the basic skills and knowledge that a solid elementary school mathematics foundation requires. It then elaborates on several points germane to these practices. These are then followed with a discussion and conclude with final comments and suggestions for future research. The article sets out the five…

  9. Investigating students' perceptions of graduate learning outcomes in mathematics

    Science.gov (United States)

    King, Deborah; Varsavsky, Cristina; Belward, Shaun; Matthews, Kelly

    2017-11-01

    The purpose of this study is to explore the perceptions mathematics students have of the knowledge and skills they develop throughout their programme of study. It addresses current concerns about the employability of mathematics graduates by contributing much needed insight into how degree programmes are developing broader learning outcomes for students majoring in mathematics. Specifically, the study asked students who were close to completing a mathematics major (n = 144) to indicate the extent to which opportunities to develop mathematical knowledge along with more transferable skills (communication to experts and non-experts, writing, working in teams and thinking ethically) were included and assessed in their major. Their perceptions were compared to the importance they assign to each of these outcomes, their own assessment of improvement during the programme and their confidence in applying these outcomes. Overall, the findings reveal a pattern of high levels of students' agreement that these outcomes are important, but evidence a startling gap when compared to students' perceptions of the extent to which many of these - communication, writing, teamwork and ethical thinking - are actually included and assessed in the curriculum, and their confidence in using such learning.

  10. Domain-general mediators of the relation between kindergarten number sense and first-grade mathematics achievement.

    Science.gov (United States)

    Hassinger-Das, Brenna; Jordan, Nancy C; Glutting, Joseph; Irwin, Casey; Dyson, Nancy

    2014-02-01

    Domain-general skills that mediate the relation between kindergarten number sense and first-grade mathematics skills were investigated. Participants were 107 children who displayed low number sense in the fall of kindergarten. Controlling for background variables, multiple regression analyses showed that both attention problems and executive functioning were unique predictors of mathematics outcomes. Attention problems were more important for predicting first-grade calculation performance, whereas executive functioning was more important for predicting first-grade performance on applied problems. Moreover, both executive functioning and attention problems were unique partial mediators of the relationship between kindergarten and first-grade mathematics skills. The results provide empirical support for developing interventions that target executive functioning and attention problems in addition to instruction in number skills for kindergartners with initial low number sense. Copyright © 2013 Elsevier Inc. All rights reserved.

  11. Intellectual skills needed for the effective learning and application of chemical knowledge

    OpenAIRE

    Drummond, Helen P.; Selvaratnam, Mailoo

    2009-01-01

    Many students' difficulties in learning and applying chemical knowledge are associated with their being incompetent in a few widely applicable intellectual skills and strategies. This paper discusses the results of a study that was done to test first year university students' competence in some types of intellectual skills that are important in chemistry. The skills tested include language skills, mathematical skills, graphical skills, three-dimensional visualization skills, information proce...

  12. The effects of gender, motor skills and play area on the free play activities of 8-11 year old school children.

    Science.gov (United States)

    Harten, Nathan; Olds, Tim; Dollman, Jim

    2008-09-01

    Two studies were conducted to examine the interactions between gender, play area, motor skills and free play activity in 8-11 year old school children. In both studies, boys were more active than girls. In boys, but not in girls, energy expenditure was greater for high-skill than for low-skill children (p = 0.0002), and increased as play area increased (p = 0.01). These results suggest that motor skills and play space are important variables in determining the free play activity of boys, but not of girls. This may be related to widely different play styles among boys and girls.

  13. Do higher levels of education and skills in an area benefit wider society?

    OpenAIRE

    Winters, John V.

    2015-01-01

    Formal schooling increases earnings and provides other individual benefits. However, societal benefits of education may exceed individual benefits. Research finds that increased average education levels in an area are correlated with higher earnings, even for locals with relatively little education. Science, technology, engineering, and mathematics (STEM) graduates appear to have especially strong external effects, due to their role in stimulating innovation and economic growth. Several strat...

  14. Pursuing excellence in mathematics education essays in honor of Jeremy Kilpatrick

    CERN Document Server

    Silver, Edward

    2014-01-01

    ​Chapters in this book recognize the more than forty years of sustained and distinguished lifetime achievement in mathematics education research and development of Jeremy Kilpatrick. Including contributions from a variety of skilled mathematics educators, this text honors Jeremy Kilpatrick, reflecting on his groundbreaking papers, book chapters, and books - many of which are now standard references in the literature - on mathematical problem solving, the history of mathematics education, mathematical ability and proficiency, curriculum change and its history, global perspectives on mathematics education, and mathematics assessment. Many chapters also offer substantial contributions of their own on important themes, including mathematical problem solving, mathematics curriculum, the role of theory in mathematics education, the democratization of mathematics, and international perspectives on the professional field of mathematics education.​.

  15. Technology-integrated Mathematics Education at the Secondary School Level

    Directory of Open Access Journals (Sweden)

    Hamdi Serin

    2017-06-01

    Full Text Available The potential of technological devices to enrich learning and teaching of Mathematics has been widely recognized recently. This study is founded on a case study that investigates how technology-related Mathematics teaching can enhance learning of Mathematical topics. The findings indicate that when teachers integrate technology into their teaching practices, students’ learning of Mathematics is significantly promoted. It was seen that the use of effective presentations through technological devices highly motivated the students and improved their mathematics achievement. This highlights that the availability of technological devices, teacher beliefs, easy access to resources and most importantly teacher skills of using technological devices effectively are decisive factors that can provide learners better understanding of mathematical concepts.

  16. Shop Math for the Metal Trades. Combination Welder Apprentice, Machinist Helper, Precision Metal Finisher, Sheet Metal Worker Apprentice. A Report on Metal Trades Industry Certified, Single-Concept, Mathematical Learning Projects to Eliminate Student Math Fears.

    Science.gov (United States)

    Newton, Lawrence R.

    This project (1) identifies basic and functional mathematics skills (shop mathematics skills), (2) provides pretests on these functional mathematics skills, and (3) provides student learning projects (project sheets) that prepare metal trades students to read, understand, and apply mathematics and measuring skills that meet entry-level job…

  17. Skills and Competencies

    Directory of Open Access Journals (Sweden)

    Nasios Orinos

    2013-07-01

    Full Text Available This article presents the results of a study aimed to investigate the requirements of the business sector in light of the skills and competencies students should have in order to be recruited. In this fashion, the study intended to measure the importance of the skills and competencies sought by the business world, revealing ways through which students can develop such skills. This project portrayed that, some of the required classes will certainly give students a strong theoretical background but they will neither completely prepare this student with all possible skills or competencies nor provide the student with any practical experience that will enable him/her to be more competitive when entering the business market. In some classes, however, like Public Speaking, which is designed to teach presentation skills, successful students are able to build good communication and interpersonal skills. Additionally, an English writing class will certainly attempt to provide them with strong writing skills, and a business class will possibly demand reading skills. Moreover, a calculus and a statistics class will provide basic arithmetic/mathematical skills. However, through this project it is proven that all of these classes will neglect the indoctrination of creative thinking in students, or make students believe in their own self-worth (self-esteem skills; the courses will also fail to develop the sense of urgency, drive and determination that students should possess not just to compete but also to survive in a business world.

  18. Computational experiment approach to advanced secondary mathematics curriculum

    CERN Document Server

    Abramovich, Sergei

    2014-01-01

    This book promotes the experimental mathematics approach in the context of secondary mathematics curriculum by exploring mathematical models depending on parameters that were typically considered advanced in the pre-digital education era. This approach, by drawing on the power of computers to perform numerical computations and graphical constructions, stimulates formal learning of mathematics through making sense of a computational experiment. It allows one (in the spirit of Freudenthal) to bridge serious mathematical content and contemporary teaching practice. In other words, the notion of teaching experiment can be extended to include a true mathematical experiment. When used appropriately, the approach creates conditions for collateral learning (in the spirit of Dewey) to occur including the development of skills important for engineering applications of mathematics. In the context of a mathematics teacher education program, this book addresses a call for the preparation of teachers capable of utilizing mo...

  19. Factors Influencing Students' Perceptions of Their Quantitative Skills

    Science.gov (United States)

    Matthews, Kelly E.; Hodgson, Yvonne; Varsavsky, Cristina

    2013-01-01

    There is international agreement that quantitative skills (QS) are an essential graduate competence in science. QS refer to the application of mathematical and statistical thinking and reasoning in science. This study reports on the use of the Science Students Skills Inventory to capture final year science students' perceptions of their QS across…

  20. Non-intellectual predictors of achievement in mathematics

    Directory of Open Access Journals (Sweden)

    Milošević Nikoleta M.

    2003-01-01

    Full Text Available Findings presented herein are a part of a large international study of primary school final grade student achievement in mathematics and science (TIMSS 2003. Studies were also conducted on the degree of correlation between student family socioeconomic status, mathematical self-concept and achievement in mathematics. Pilot studies, whose findings are discussed comprised 112 seventh-grade students. "Family socioeconomic status" was defined by variables such as the number of family members, economically disadvantaged/affluent home, and parental educational status. "Mathematical self-concept" was defined as one of the more narrow domains of academic self-concept. "Achievement in mathematics" was measured by the test assessing two dimensions of knowledge of mathematics: content and cognitive skills. The analyses of partial correlations indicate that the most significant predictors of achievement in mathematics test are as follows mathematical self-concept, mother’s educational status and some indicators of family socioeconomic status (access to the Internet, number of household members, number of books available at home. Concerning the correlation found between family characteristics and mathematical self-concept and achievement in mathematics, the developers of current changes in mathematics teaching should not disregard the findings of this study.

  1. Pre-service mathematics teachers' learning and teaching of activity-based lessons supported with spreadsheets

    NARCIS (Netherlands)

    Agyei, D.D.; Voogt, Joke; Resta, P.

    2012-01-01

    Mathematics education research has shown that too few students have adequate mathematics comprehension or problem-solving skills. To make up for this lapse in student outcomes, mathematics teachers should be among the most enthusiastic in seeking to maximize technologies’ potential to develop

  2. The Chess and Mathematics Connection: More than Just a Game

    Science.gov (United States)

    Berkman, Robert M.

    2004-01-01

    This article describes connections between chess and mathematics, including examples of activities that connect chess with set theory, patterns, algebra, geometry, combinatorics, and Pascal's triangle. The author observes that competitive games play a dual purpose in advancing the work of mathematics educators: to reinforce a specific skill and to…

  3. Mathematics education a spectrum of work in mathematical sciences departments

    CERN Document Server

    Hsu, Pao-sheng; Pollatsek, Harriet

    2016-01-01

    Many in the mathematics community in the U.S. are involved in mathematics education in various capacities. This book highlights the breadth of the work in K-16 mathematics education done by members of US departments of mathematical sciences. It contains contributions by mathematicians and mathematics educators who do work in areas such as teacher education, quantitative literacy, informal education, writing and communication, social justice, outreach and mentoring, tactile learning, art and mathematics, ethnomathematics, scholarship of teaching and learning, and mathematics education research. Contributors describe their work, its impact, and how it is perceived and valued. In addition, there is a chapter, co-authored by two mathematicians who have become administrators, on the challenges of supporting, evaluating, and rewarding work in mathematics education in departments of mathematical sciences. This book is intended to inform the readership of the breadth of the work and to encourage discussion of its val...

  4. How Do Different Aspects of Spatial Skills Relate to Early Arithmetic and Number Line Estimation?

    Directory of Open Access Journals (Sweden)

    Véronique Cornu

    2017-12-01

    Full Text Available The present study investigated the predictive role of spatial skills for arithmetic and number line estimation in kindergarten children (N = 125. Spatial skills are known to be related to mathematical development, but due to the construct’s non-unitary nature, different aspects of spatial skills need to be differentiated. In the present study, a spatial orientation task, a spatial visualization task and visuo-motor integration task were administered to assess three different aspects of spatial skills. Furthermore, we assessed counting abilities, knowledge of Arabic numerals, quantitative knowledge, as well as verbal working memory and verbal intelligence in kindergarten. Four months later, the same children performed an arithmetic and a number line estimation task to evaluate how the abilities measured at Time 1 predicted early mathematics outcomes. Hierarchical regression analysis revealed that children’s performance in arithmetic was predicted by their performance on the spatial orientation and visuo-motor integration task, as well as their knowledge of the Arabic numerals. Performance in number line estimation was significantly predicted by the children’s spatial orientation performance. Our findings emphasize the role of spatial skills, notably spatial orientation, in mathematical development. The relation between spatial orientation and arithmetic was partially mediated by the number line estimation task. Our results further show that some aspects of spatial skills might be more predictive of mathematical development than others, underlining the importance to differentiate within the construct of spatial skills when it comes to understanding numerical development.

  5. A cognitive framework for analyzing and describing introductory students' use and understanding of mathematics in physics

    Science.gov (United States)

    Tuminaro, Jonathan

    Many introductory, algebra-based physics students perform poorly on mathematical problem solving tasks in physics. There are at least two possible, distinct reasons for this poor performance: (1) students simply lack the mathematical skills needed to solve problems in physics, or (2) students do not know how to apply the mathematical skills they have to particular problem situations in physics. While many students do lack the requisite mathematical skills, a major finding from this work is that the majority of students possess the requisite mathematical skills, yet fail to use or interpret them in the context of physics. In this thesis I propose a theoretical framework to analyze and describe students' mathematical thinking in physics. In particular, I attempt to answer two questions. What are the cognitive tools involved in formal mathematical thinking in physics? And, why do students make the kinds of mistakes they do when using mathematics in physics? According to the proposed theoretical framework there are three major theoretical constructs: mathematical resources, which are the knowledge elements that are activated in mathematical thinking and problem solving; epistemic games, which are patterns of activities that use particular kinds of knowledge to create new knowledge or solve a problem; and frames, which are structures of expectations that determine how individuals interpret situations or events. The empirical basis for this study comes from videotaped sessions of college students solving homework problems. The students are enrolled in an algebra-based introductory physics course. The videotapes were transcribed and analyzed using the aforementioned theoretical framework. Two important results from this work are: (1) the construction of a theoretical framework that offers researchers a vocabulary (ontological classification of cognitive structures) and grammar (relationship between the cognitive structures) for understanding the nature and origin of

  6. Visuo-spatial abilities are key for young children's verbal number skills.

    Science.gov (United States)

    Cornu, Véronique; Schiltz, Christine; Martin, Romain; Hornung, Caroline

    2018-02-01

    Children's development of verbal number skills (i.e., counting abilities and knowledge of the number names) presents a milestone in mathematical development. Different factors such as visuo-spatial and verbal abilities have been discussed as contributing to the development of these foundational skills. To understand the cognitive nature of verbal number skills in young children, the current study assessed the relation of preschoolers' verbal and visuo-spatial abilities to their verbal number skills. In total, 141 children aged 5 or 6 years participated in the current study. Verbal number skills were regressed on vocabulary, phonological awareness and visuo-spatial abilities, and verbal and visuo-spatial working memory in a structural equation model. Only visuo-spatial abilities emerged as a significant predictor of verbal number skills in the estimated model. Our results suggest that visuo-spatial abilities contribute to a larger extent to children's verbal number skills than verbal abilities. From a theoretical point of view, these results suggest a visuo-spatial, rather than a verbal, grounding of verbal number skills. These results are potentially informative for the conception of early mathematics assessments and interventions. Copyright © 2017 Elsevier Inc. All rights reserved.

  7. Prepare 2 Learn: A mathematics intervention program for students at risk in Years 3 to 6 designed to help them reach expected level and become confident, responsible, independent mathematics learners

    OpenAIRE

    BERNADETTE MARY LONG

    2017-01-01

    This study reports on an intervention, Prepare 2 Learn, designed taking into account research literature and components of other successful mathematics programs. The research targeted students approximately 6 months behind the expected mathematics level for their year. The intervention consisted of four key components: building prerequisite knowledge of mathematical language, concepts, and skills to prepare students for their classroom mathematics; increasing fluency with mental computation; ...

  8. Effectiveness of a Clinical Skills Workshop for drug-dosage calculation in a nursing program.

    Science.gov (United States)

    Grugnetti, Anna Maria; Bagnasco, Annamaria; Rosa, Francesca; Sasso, Loredana

    2014-04-01

    Mathematical and calculation skills are widely acknowledged as being key nursing competences if patients are to receive care that is both effective and safe. Indeed, weaknesses in mathematical competence may lead to the administration of miscalculated drug doses, which in turn may harm or endanger patients' lives. However, little attention has been given to identifying appropriate teaching and learning strategies that will effectively facilitate the development of these skills in nurses. One such approach may be simulation. To evaluate the effectiveness of a Clinical Skills Workshop on drug administration that focused on improving the drug-dosage calculation skills of second-year nursing students, with a view to promoting safety in drugs administration. A descriptive pre-post test design. Educational. Simulation center. The sample population included 77 nursing students from a Northern Italian University who attended a 30-hour Clinical Skills Workshop over a period of two weeks. The workshop covered integrated teaching strategies and innovative drug-calculation methodologies which have been described to improve psychomotor skills and build cognitive abilities through a greater understanding of mathematics linked to clinical practice. Study results showed a significant improvement between the pre- and the post-test phases, after the intervention. Pre-test scores ranged between 0 and 25 out of a maximum of 30 points, with a mean score of 15.96 (SD 4.85), and a median score of 17. Post-test scores ranged between 15 and 30 out of 30, with a mean score of 25.2 (SD 3.63) and a median score of 26 (pstudy shows that Clinical Skills Workshops may be tailored to include teaching techniques that encourage the development of drug-dosage calculation skills, and that training strategies implemented during a Clinical skills Workshop can enhance students' comprehension of mathematical calculations. Copyright © 2013 Elsevier Ltd. All rights reserved.

  9. Teacher's Guide to Secondary Mathematics.

    Science.gov (United States)

    Duval County Schools, Jacksonville, FL.

    This is a teacher's guide to secondary school mathematics. Developed for use in the Duval County Public Schools, Jacksonville, Florida. Areas of mathematics covered are algebra, analysis, calculus, computer literacy, computer science, geometry, analytic geometry, general mathematics, consumer mathematics, pre-algebra, probability and statistics,…

  10. Applying Mathematical Concepts with Hands-On, Food-Based Science Curriculum

    Science.gov (United States)

    Roseno, Ashley T.; Carraway-Stage, Virginia G.; Hoerdeman, Callan; Díaz, Sebastián R.; Geist, Eugene; Duffrin, Melani W.

    2015-01-01

    This article addresses the current state of the mathematics education system in the United States and provides a possible solution to the contributing issues. As a result of lower performance in primary mathematics, American students are not acquiring the necessary quantitative literacy skills to become successful adults. This study analyzed the…

  11. Investigating Students' Perceptions of Graduate Learning Outcomes in Mathematics

    Science.gov (United States)

    King, Deborah; Varsavsky, Cristina; Belward, Shaun; Matthews, Kelly

    2017-01-01

    The purpose of this study is to explore the perceptions mathematics students have of the knowledge and skills they develop throughout their programme of study. It addresses current concerns about the employability of mathematics graduates by contributing much needed insight into how degree programmes are developing broader learning outcomes for…

  12. More than Numbers: Teaching ELLs Mathematical Language in Primary Grades

    Science.gov (United States)

    Sistla, Michelle; Feng, Jay

    2014-01-01

    Teaching English Language Learners (ELL) academics while they are acquiring English language skills is a challenge for teachers. This action research examines the use of Response To Intervention (RTI) in teaching ELLs mathematical language and its effect on students' math achievement in primary grades. It shows that when mathematical language…

  13. What Spreadsheet and Database Skills Do Business Students Need?

    Science.gov (United States)

    Coleman, Phillip D.; Blankenship, Ray J.

    2017-01-01

    The Principles of Information Systems course taught at a medium-sized Midwest University consists of Information Systems conceptual material plus Microsoft Excel and Access skills that the Information Systems faculty feel are most important to business students from all business disciplines. These skills range from using basic mathematic functions…

  14. MATHEMATICS PROGRAMS AS A MEANS TO IMPROVE JOB QUALIFICATIONS FOR WOMEN

    NARCIS (Netherlands)

    Harskamp, E.G.; Suhre, C.J.M.

    1995-01-01

    Pass rates in courses for vocational (re)schooling of adults are generally low. Lack of mathematical skills is one of the factors that can be responsible. To enhance pass rates, most courses supply additional mathematics schooling. The present study investigated whether the effectiveness of

  15. Virtual Manipulatives: Tools for Teaching Mathematics to Students with Learning Disabilities

    Science.gov (United States)

    Shin, Mikyung; Bryant, Diane P.; Bryant, Brian R.; McKenna, John W.; Hou, Fangjuan; Ok, Min Wook

    2017-01-01

    Many students with learning disabilities demonstrate difficulty in developing a conceptual understanding of mathematical topics. Researchers recommend using visual models to support student learning of the concepts and skills necessary to complete abstract and symbolic mathematical problems. Virtual manipulatives (i.e., interactive visual models)…

  16. Learners with learning difficulties in mathematics : attitudes, curriculum and methods of teaching mathematics

    OpenAIRE

    2012-01-01

    D.Ed. The aim of this theses is to find out whether there is any relationship between learners' attitudes and learning difficulties in mathematics: To investigate whether learning difficulties in mathematics are associated with learners' gender. To establish the nature of teachers' perceptions of the learning problem areas in the mathematics curriculum. To find out about the teachers' views on the methods of teaching mathematics, resources, learning of mathematics, extra curricular activit...

  17. Mathematics Teachers' Use of Ethnomathematics Approach in Mathematics Teaching in Edo State

    Science.gov (United States)

    Aikpitanyi, Lucky Aiwuyor; Eraikhuemen, Lucy

    2017-01-01

    The study investigated mathematics teachers' use of ethnomathematics approach to teaching. Descriptive survey research was used with a target population of all mathematics teacher in all public secondary schools in Oredo, Egor and Ikpoba-Okha local government areas of Edo State out of which 121 mathematics teachers in 42 randomly selected public…

  18. Math in plain english literacy strategies for the mathematics classroom

    CERN Document Server

    Benjamin, Amy

    2013-01-01

    Do word problems and math vocabulary confuse students in your mathematics classes? Do simple keywords like ""value"" and ""portion"" seem to mislead them? Many words that students already know can have a different meaning in mathematics. To grasp that difference, students need to connect English literacy skills to math. Successful students speak, read, write, and listen to each other so they can understand, retain, and apply mathematics concepts. This book explains how to use 10 classroom-ready literacy strategies in concert with your mathematics instruction. You'll learn how to develop stude

  19. Engaging Life-Sciences Students with Mathematical Models: Does Authenticity Help?

    Science.gov (United States)

    Poladian, Leon

    2013-01-01

    Compulsory mathematics service units for the life sciences present unique challenges: even students who learn some specific skills maintain a negative attitude to mathematics and do not see the relevance of the unit towards their degree. The focus on authentic content and the presentation and teaching of global or qualitative methods before…

  20. Promoting the Understanding of Mathematics in Physics at Secondary Level

    Science.gov (United States)

    Thompson, Alaric

    2016-01-01

    This article explores some of the common mathematical difficulties that 11- to 16-year-old students experience with respect to their learning of physics. The definition of "understanding" expressed in the article is in the sense of transferability of mathematical skills from topic to topic within physics as well as between the separate…

  1. Counting skills intervention for low-performing first graders

    Directory of Open Access Journals (Sweden)

    Riikka Mononen

    2016-09-01

    Conclusion: A relatively short counting skills intervention that applied explicit teaching showed promising effects in improving low-performing children’s mathematical performance as a supplemental instruction.

  2. Mathematical physics

    CERN Document Server

    Geroch, Robert

    1985-01-01

    Mathematical Physics is an introduction to such basic mathematical structures as groups, vector spaces, topological spaces, measure spaces, and Hilbert space. Geroch uses category theory to emphasize both the interrelationships among different structures and the unity of mathematics. Perhaps the most valuable feature of the book is the illuminating intuitive discussion of the ""whys"" of proofs and of axioms and definitions. This book, based on Geroch's University of Chicago course, will be especially helpful to those working in theoretical physics, including such areas as relativity, particle

  3. Unraveling the Culture of the Mathematics Classroom: A Video-Based Study in Sixth Grade

    Science.gov (United States)

    Depaepe, Fien; De Corte, Erik; Verschaffel, Lieven

    2007-01-01

    Changing perspectives on mathematics teaching and learning resulted in a new generation of mathematics textbooks, stressing among others the importance of mathematical reasoning and problem-solving skills and their application to real-life situations. The article reports a study that investigates to what extent the reform-based ideas underlying…

  4. MARA: Mathematics/Architecture Related Activities.

    Science.gov (United States)

    New York State Education Dept., Albany. Bureau of Curriculum Development.

    This document is designed primarily to help teachers in elementary and middle schools to teach basic skills in mathematics, the visual arts, and social interaction. The Introduction contains sections titled: (1) How and Where to Begin; (2) Orientation Exercises; (3) Discovering the Environment; (4) Toothpicks and Gumdrops; (5) A Process for the…

  5. Applying Realistic Mathematics Education (RME) in teaching geometry in Indonesian primary schools

    NARCIS (Netherlands)

    Fauzan, Ahmad

    2002-01-01

    Similar to other countries (see for example Niss, 1996; NCTM, 2000), the mathematics curriculum for primary schools in Indonesia pays much attention to several important aspects such as developing pupils' reasoning, activity, creativity and attitude, and providing pupils with mathematics skills so

  6. Team research at the biology-mathematics interface: project management perspectives.

    Science.gov (United States)

    Milton, John G; Radunskaya, Ami E; Lee, Arthur H; de Pillis, Lisette G; Bartlett, Diana F

    2010-01-01

    The success of interdisciplinary research teams depends largely upon skills related to team performance. We evaluated student and team performance for undergraduate biology and mathematics students who participated in summer research projects conducted in off-campus laboratories. The student teams were composed of a student with a mathematics background and an experimentally oriented biology student. The team mentors typically ranked the students' performance very good to excellent over a range of attributes that included creativity and ability to conduct independent research. However, the research teams experienced problems meeting prespecified deadlines due to poor time and project management skills. Because time and project management skills can be readily taught and moreover typically reflect good research practices, simple modifications should be made to undergraduate curricula so that the promise of initiatives, such as MATH-BIO 2010, can be implemented.

  7. Journal of applied mathematics

    National Research Council Canada - National Science Library

    2001-01-01

    "[The] Journal of Applied Mathematics is a refereed journal devoted to the publication of original research papers and review articles in all areas of applied, computational, and industrial mathematics...

  8. Qualified nurses' rate new nursing graduates as lacking skills in key clinical areas.

    Science.gov (United States)

    Missen, Karen; McKenna, Lisa; Beauchamp, Alison; Larkins, Jo-Ann

    2016-08-01

    The aim of this study was to explore perceptions of qualified nurses on the abilities of newly registered nursing graduates to perform a variety of clinical skills. Evidence from the literature suggests that undergraduate nursing programmes do not adequately prepare nursing students to be practice-ready on completion of their nursing courses. A descriptive quantitative design was used. Participants were recruited through the Australian Nursing and Midwifery Federation, Victorian branch. A brief explanation of the study and a link to the survey were promoted in their monthly e-newsletter. A total of 245 qualified nurses in the state of Victoria, Australia participated in this study. A survey tool of 51 clinical skills and open-ended questions was used, whereby participants were asked to rate new nursing graduates' abilities using a 5-point Likert scale. Overall participants rated new nursing graduates' abilities for undertaking clinical skills as good or very good in 35·3% of skills, 33·3% were rated as adequate and 31·4% rated as being performed poorly or very poorly. Of concern, essential clinical skills, such as critical thinking and problem solving, working independently and assessment procedures, were found to be poorly executed and affecting new registered nurses graduates' competence. The findings from this study can further serve as a reference for nursing education providers to enhance nursing curricula and work collaboratively with healthcare settings in preparing nurses to be competent, safe practitioners on completion of their studies. Identifying key areas in which new nursing graduates are not yet competent means that educational providers and educators from healthcare settings can focus on these skills in better preparing our nurses to be work ready. © 2016 John Wiley & Sons Ltd.

  9. Investigating middle school students’ difficulties in mathematical literacy problems level 1 and 2

    Science.gov (United States)

    Setiawati, S.; Herman, T.; Jupri, A.

    2017-11-01

    The background of this study is the lack of mathematical literacy skills of students. The proficiency of students’ mathematical literacy skills based on the results of the PISA 2015 study shows that Indonesian students at the proficiency level 1. This fact gave rise to this study which aims to investigate middle school students’ difficulties in mathematical literacy problems level 1 and 2. Qualitative research was used in this study. An individual written test on mathematical literacy problems was administered, followed by interviews. The subjects of the study were 61 students grade VII in Bandung and 26 of them were interviewed afterward. Data analysis revealed that students’ error in performing arithmetic most frequently observed. Other observed difficulties concerned understanding about algebra concept, applying arithmetic operation in algebraic expressions, and interpreting symbols to represent the unknown. In solving mathematical literacy problems, students use their prior knowledge, although sometimes not relevant to the questions. Based on the results, we suggest that mathematics learning in contextual learning and which invites students to participate in the processes of understanding the concepts.

  10. A practical course in differential equations and mathematical modeling

    CERN Document Server

    Ibragimov , Nail H

    2009-01-01

    A Practical Course in Differential Equations and Mathematical Modelling is a unique blend of the traditional methods of ordinary and partial differential equations with Lie group analysis enriched by the author's own theoretical developments. The book which aims to present new mathematical curricula based on symmetry and invariance principles is tailored to develop analytic skills and working knowledge in both classical and Lie's methods for solving linear and nonlinear equations. This approach helps to make courses in differential equations, mathematical modelling, distributions and fundame

  11. Refractive Thinking Profile In Solving Mathematical Problem Reviewed from Students Math Capability

    Science.gov (United States)

    Maslukha, M.; Lukito, A.; Ekawati, R.

    2018-01-01

    Refraction is a mental activity experienced by a person to make a decision through reflective thinking and critical thinking. Differences in mathematical capability have an influence on the difference of student’s refractive thinking processes in solving math problems. This descriptive research aims to generate a picture of refractive thinking of students in solving mathematical problems in terms of students’ math skill. Subjects in this study consisted of three students, namely students with high, medium, and low math skills based on mathematics capability test. Data collection methods used are test-based methods and interviews. After collected data is analyzed through three stages that are, condensing and displaying data, data display, and drawing and verifying conclusion. Results showed refractive thinking profiles of three subjects is different. This difference occurs at the planning and execution stage of the problem. This difference is influenced by mathematical capability and experience of each subject.

  12. The Link between Logic, Mathematics and Imagination: Evidence from Children with Developmental Dyscalculia and Mathematically Gifted Children

    Science.gov (United States)

    Morsanyi, Kinga; Devine, Amy; Nobes, Alison; Szucs, Denes

    2013-01-01

    This study examined performance on transitive inference problems in children with developmental dyscalculia (DD), typically developing controls matched on IQ, working memory and reading skills, and in children with outstanding mathematical abilities. Whereas mainstream approaches currently consider DD as a domain-specific deficit, we hypothesized…

  13. Exploring the Effects of Project-Based Learning in Secondary Mathematics Education

    Science.gov (United States)

    Holmes, Vicki-Lynn; Hwang, Yooyeun

    2016-01-01

    This mixed-method, longitudinal study investigated the benefits of project-based learning (PBL) on secondary-mathematics students' academic skill development and motivated strategies for learning (i.e., cognitive, social, and motivational). The focus of this study was academic skill development (algebra- and geometry-assessment scores) and other…

  14. Multiple Skills Underlie Arithmetic Performance: A Large-Scale Structural Equation Modeling Analysis

    Directory of Open Access Journals (Sweden)

    Sarit Ashkenazi

    2017-12-01

    Full Text Available Current theoretical approaches point to the importance of several cognitive skills not specific to mathematics for the etiology of mathematics disorders (MD. In the current study, we examined the role of many of these skills, specifically: rapid automatized naming, attention, reading, and visual perception, on mathematics performance among a large group of college students (N = 1,322 with a wide range of arithmetic proficiency. Using factor analysis, we discovered that our data clustered to four latent variables 1 mathematics, 2 perception speed, 3 attention and 4 reading. In subsequent structural equation modeling, we found that the latent variable perception speed had a strong and meaningful effect on mathematics performance. Moreover, sustained attention, independent from the effect of the latent variable perception speed, had a meaningful, direct effect on arithmetic fact retrieval and procedural knowledge. The latent variable reading had a modest effect on mathematics performance. Specifically, reading comprehension, independent from the effect of the latent variable reading, had a meaningful direct effect on mathematics, and particularly on number line knowledge. Attention, tested by the attention network test, had no effect on mathematics, reading or perception speed. These results indicate that multiple factors can affect mathematics performance supporting a heterogeneous approach to mathematics. These results have meaningful implications for the diagnosis and intervention of pure and comorbid learning disorders.

  15. Especial Skills in Experienced Archers.

    Science.gov (United States)

    Nabavinik, Mahdi; Abaszadeh, Ali; Mehranmanesh, Mehrab; Rosenbaum, David A

    2017-09-05

    Especial skills are skills that are distinctive by virtue of massive practice within the narrow contexts in which they are expressed. In the first demonstration of especial skills, Keetch, Schmidt, Lee, and Young (2005) showed that experienced basketball players are better at shooting baskets from the foul line, where they had massive amounts of practice, than would expected from their success at other locations closer to or farther from the basket. Similar results were obtained for baseball throwing. The authors asked whether especial skills hold in archery, a sport requiring less movement. If the emergence of especial skills depends on large-scale movement, one would expect archery to escape so-called especialism. But if the emergence of especial skills reflects a more general tendency for highly specific learning, experienced archers should show especial skills. The authors obtained evidence consistent with the latter prediction. The expert archers did much better at their most highly practiced distance than would be expected by looking at the overall function relating shooting score to distance. We offer a mathematical model to account for this result. The findings attest to the generality of the especial skills phenomenon.

  16. IMPROVING TEACHING MATHEMATICS USING MODERN INFORMATION TECHNOLOGIES IN FORMATION MATHEMATICAL COMPETENCE REQUIRED FUTURE SKIPPERS.

    Directory of Open Access Journals (Sweden)

    Elena Gudyreva

    2015-10-01

    Full Text Available The article is devoted to consideration of issues related to identifying the potential for teaching mathematics using network (Internet technology and the introduction of elements of distance learning into educational process of higher educational establishments of the sea profile, as well as achievement of formation of mathematical competence of students of the University generally, and of the University's Maritime profile, in particular. Based on the analysis of psychological and pedagogical literature highlights the factors that influence the increase of efficiency of independent work of students of higher educational institutions and on the formation of steady skills of self-education that ultimately leads to quality of formation of mathematical competence of a student. Specific features of teaching mathematics at the University of the sea profile. The description of the project (complex sites "KSMA. Higher mathematics navigators", who developed and used in the Kherson state Maritime Academy in the teaching of mathematics and the organization of individual techniques of distance learning, shows the simplicity and accessibility of working with complex sites, as well as the simplicity and accessibility of design "personal website", but in fact complex sites, by a teacher of any discipline of higher education. Shown, also a training process with the use of the project "KSMA. Higher mathematics navigators", analyzes the experience of teaching the course "Higher mathematics" in a higher educational institution of the marine profile with the use of a personal website, a teacher and shown positive results in students mastery of basic mathematical competencies.

  17. Word Problem Solving in Contemporary Math Education: A Plea for Reading Comprehension Skills Training

    Science.gov (United States)

    Boonen, Anton J. H.; de Koning, Björn B.; Jolles, Jelle; van der Schoot, Menno

    2016-01-01

    Successfully solving mathematical word problems requires both mental representation skills and reading comprehension skills. In Realistic Math Education (RME), however, students primarily learn to apply the first of these skills (i.e., representational skills) in the context of word problem solving. Given this, it seems legitimate to assume that students from a RME curriculum experience difficulties when asked to solve semantically complex word problems. We investigated this assumption under 80 sixth grade students who were classified as successful and less successful word problem solvers based on a standardized mathematics test. To this end, students completed word problems that ask for both mental representation skills and reading comprehension skills. The results showed that even successful word problem solvers had a low performance on semantically complex word problems, despite adequate performance on semantically less complex word problems. Based on this study, we concluded that reading comprehension skills should be given a (more) prominent role during word problem solving instruction in RME. PMID:26925012

  18. Word problem solving in contemporary math education: A plea for reading comprehension skills training

    Directory of Open Access Journals (Sweden)

    Anton eBoonen

    2016-02-01

    Full Text Available Successfully solving mathematical word problems requires both mental representation skills and reading comprehension skills. In Realistic Math Education (RME, however, students primarily learn to apply the first of these skills (i.e., representational skills in the context of word problem solving. Given this, it seems legitimate to assume that students from a RME curriculum experience difficulties when asked to solve semantically complex word problems. We investigated this assumption under 80 sixth grade students who were classified as successful and less successful word problem solvers based on a standardized mathematics test. To this end, students completed word problems that ask for both mental representation skills and reading comprehension skills. The results showed that even successful word problem solvers had a low performance on semantically complex word problems, despite adequate performance on semantically less complex word problems. Based on this study, we concluded that reading comprehension skills should be given a (more prominent role during word problem solving instruction in RME.

  19. Word Problem Solving in Contemporary Math Education: A Plea for Reading Comprehension Skills Training.

    Science.gov (United States)

    Boonen, Anton J H; de Koning, Björn B; Jolles, Jelle; van der Schoot, Menno

    2016-01-01

    Successfully solving mathematical word problems requires both mental representation skills and reading comprehension skills. In Realistic Math Education (RME), however, students primarily learn to apply the first of these skills (i.e., representational skills) in the context of word problem solving. Given this, it seems legitimate to assume that students from a RME curriculum experience difficulties when asked to solve semantically complex word problems. We investigated this assumption under 80 sixth grade students who were classified as successful and less successful word problem solvers based on a standardized mathematics test. To this end, students completed word problems that ask for both mental representation skills and reading comprehension skills. The results showed that even successful word problem solvers had a low performance on semantically complex word problems, despite adequate performance on semantically less complex word problems. Based on this study, we concluded that reading comprehension skills should be given a (more) prominent role during word problem solving instruction in RME.

  20. Scott Foresman-Addison Wesley Elementary Mathematics. What Works Clearinghouse Intervention Report

    Science.gov (United States)

    What Works Clearinghouse, 2010

    2010-01-01

    "Scott Foresman-Addison Wesley Elementary Mathematics" is a core curriculum for students at all ability levels in prekindergarten through grade 6. The program supports students' understanding of key math concepts and skills and covers a range of mathematical content across grades. The What Works Clearinghouse (WWC) reviewed 12 studies on…

  1. Development Mathematic Assessment to Increase Mathematical Prerequisite Ability on The Student with Learning Disabilities in Inclusive Elementary School

    Science.gov (United States)

    Robiansyah, S. T. U.; Nanang, F.; Hidayat

    2018-01-01

    The purpose of this study was to introduce about mathematic assessment is a process of obtaining data or information about the mastery of a student's mathematical skills as an ingredient in preparing a learning program. With this mathematics assessment can be known obstacles, difficulties and needs of students especially in the field of mathematic, so that the learning program will be in accordance with the potential students because it is tailored to what is required of students. This research study was conducted at elementary school of inclusive precisely at SDN Sukagalih I Bandung City based learning in setting of inclusive education. This research study is motivated by the existence of a first-grade student who has disabilities learning in mathematics, the ability of the mathematical prerequisite mastery of the classification of objects by color. The results of the research can provide a profile picture of student data information, the data obtained from the results of the development of systematic and formal mathematical assessment. After doing the development of mathematics assessment then the teacher gets important related information: 1. process the analysis of students’ learning needs, especially in the field of mathematics, 2. preparing the learning program planning according to student learning needs, 3. Designing procedural of method remedial program.

  2. Calculation method of rate and area of sedimentation, by non-conventional mathematical process of data treatment

    International Nuclear Information System (INIS)

    Cota, P.L.

    1987-01-01

    The used methods for calculating the rate and area of sedimentation are based in techniques of graphical resolution. The solution of the problem by a mathematical resolution, using computational methods, is more fast and more accuracy. The comparison between the results from this methods and the conventional method is shown. (E.G.) [pt

  3. USING TASK LIKE PISA’S PROBLEM TO SUPPORT STUDENT’S CREATIVITY IN MATHEMATICS

    Directory of Open Access Journals (Sweden)

    Rita Novita

    2016-01-01

    Full Text Available Creativity is one of keys to success in the evolving global economy and also be a fundamental skill that is absolutely necessary in the 21st century. Also In mathematics, creativity or thinking creatively is important to be developed because creativity is an integral part of mathematics. However, limiting the use of creativity in the classroom reduces mathematics to a set of skills to master and rules to memorize. Doing so causes many children’s natural curiosity and enthusiasm for mathematics to disappear as they get older, creating a tremendous problem for mathematics educators who are trying to instil these very qualities. In order to investigate the increase in awareness of elementary school students’ creativity in solving mathematics’ problems by using task like PISA’s Question, a qualitative research emphasizing on holistic description was conducted. We used a formative evaluation type of development research as a mean to develop mathematical tasks like PISA’s question that have potential effect to support students’ creativity in mathematics. Ten elementary school students of grade 6 in Palembang were involved in this research. They judged the task given for them is very challenging and provokes their curiosity. The result showed that task like PISA’s question can encourage students to more creatively in mathematics.

  4. THE TYPES OF INDEPENDENT WORK OF STUDENTS OF ECONOMIC SPECIALTIES IN THE STUDY OF MATHEMATICAL DISCIPLINES

    Directory of Open Access Journals (Sweden)

    Vita Horbach

    2016-09-01

    Full Text Available The article analyzes the types of independent work of students in higher school and determines the most appropriate ones for the students majoring in economics during their study of mathematical disciplines. There have been defined training and professional skills, which a future economist will gain in the process of self-study of mathematical disciplines. These skills have been proved to be the most determinative in formation of professional independence as a basic quality of a future economist. The scheme which reveals the relationship of classification bases of self work with its forms and types as well as educational skills which are formed in the course of its implementation to be transformed in the future into professional skills of economists has been worked out. It has been highlighted that the use of these types of self work will help create optimal conditions for efficient management of training and learning activities of students of economic specialties in the study of mathematical disciplines.

  5. Mathematical methods in physics distributions, Hilbert space operators, variational methods, and applications in quantum physics

    CERN Document Server

    Blanchard, Philippe

    2015-01-01

    The second edition of this textbook presents the basic mathematical knowledge and skills that are needed for courses on modern theoretical physics, such as those on quantum mechanics, classical and quantum field theory, and related areas.  The authors stress that learning mathematical physics is not a passive process and include numerous detailed proofs, examples, and over 200 exercises, as well as hints linking mathematical concepts and results to the relevant physical concepts and theories.  All of the material from the first edition has been updated, and five new chapters have been added on such topics as distributions, Hilbert space operators, and variational methods.   The text is divided into three main parts. Part I is a brief introduction to distribution theory, in which elements from the theories of ultradistributions and hyperfunctions are considered in addition to some deeper results for Schwartz distributions, thus providing a comprehensive introduction to the theory of generalized functions. P...

  6. Early Executive Function at Age Two Predicts Emergent Mathematics and Literacy at Age Five.

    Science.gov (United States)

    Mulder, Hanna; Verhagen, Josje; Van der Ven, Sanne H G; Slot, Pauline L; Leseman, Paul P M

    2017-01-01

    Previous work has shown that individual differences in executive function (EF) are predictive of academic skills in preschoolers, kindergartners, and older children. Across studies, EF is a stronger predictor of emergent mathematics than literacy. However, research on EF in children below age three is scarce, and it is currently unknown whether EF, as assessed in toddlerhood, predicts emergent academic skills a few years later. This longitudinal study investigates whether early EF, assessed at two years, predicts (emergent) academic skills, at five years. It examines, furthermore, whether early EF is a significantly stronger predictor of emergent mathematics than of emergent literacy, as has been found in previous work on older children. A sample of 552 children was assessed on various EF and EF-precursor tasks at two years. At age five, these children performed several emergent mathematics and literacy tasks. Structural Equation Modeling was used to investigate the relationships between early EF and academic skills, modeled as latent factors. Results showed that early EF at age two was a significant and relatively strong predictor of both emergent mathematics and literacy at age five, after controlling for receptive vocabulary, parental education, and home language. Predictive relations were significantly stronger for mathematics than literacy, but only when a verbal short-term memory measure was left out as an indicator to the latent early EF construct. These findings show that individual differences in emergent academic skills just prior to entry into the formal education system can be traced back to individual differences in early EF in toddlerhood. In addition, these results highlight the importance of task selection when assessing early EF as a predictor of later outcomes, and call for further studies to elucidate the mechanisms through which individual differences in early EF and precursors to EF come about.

  7. Early Executive Function at Age Two Predicts Emergent Mathematics and Literacy at Age Five

    Directory of Open Access Journals (Sweden)

    Hanna Mulder

    2017-10-01

    Full Text Available Previous work has shown that individual differences in executive function (EF are predictive of academic skills in preschoolers, kindergartners, and older children. Across studies, EF is a stronger predictor of emergent mathematics than literacy. However, research on EF in children below age three is scarce, and it is currently unknown whether EF, as assessed in toddlerhood, predicts emergent academic skills a few years later. This longitudinal study investigates whether early EF, assessed at two years, predicts (emergent academic skills, at five years. It examines, furthermore, whether early EF is a significantly stronger predictor of emergent mathematics than of emergent literacy, as has been found in previous work on older children. A sample of 552 children was assessed on various EF and EF-precursor tasks at two years. At age five, these children performed several emergent mathematics and literacy tasks. Structural Equation Modeling was used to investigate the relationships between early EF and academic skills, modeled as latent factors. Results showed that early EF at age two was a significant and relatively strong predictor of both emergent mathematics and literacy at age five, after controlling for receptive vocabulary, parental education, and home language. Predictive relations were significantly stronger for mathematics than literacy, but only when a verbal short-term memory measure was left out as an indicator to the latent early EF construct. These findings show that individual differences in emergent academic skills just prior to entry into the formal education system can be traced back to individual differences in early EF in toddlerhood. In addition, these results highlight the importance of task selection when assessing early EF as a predictor of later outcomes, and call for further studies to elucidate the mechanisms through which individual differences in early EF and precursors to EF come about.

  8. Kindergarten Children’s Growth Trajectories in Reading and Mathematics: Who Falls Increasingly Behind?

    Science.gov (United States)

    Morgan, Paul L.; Farkas, George; Wu, Qiong

    2015-01-01

    We used a large sample of children (N ≈ 7,400) participating in the Early Childhood Longitudinal Study – Kindergarten Cohort to estimate kindergarten children’s academic achievement growth trajectories in reading and mathematics. We were particularly interested in whether the growth trajectories of children with learning disabilities (LD) or speech language impairments (SLI)—as well as those of other groups of children—were consistent with a cumulative or compensatory developmental cycle. Both LD and SLI children displayed significantly lower levels of kindergarten reading achievement than non-disabled children. However, and over the subsequent five years of elementary school, only children with SLI lagged increasingly behind non-disabled peers in their reading skills growth. We observed a different pattern for mathematics achievement. Children with LD, but not SLI, lagged increasingly behind non-disabled children in their mathematics skills growth. We also observed some consistency in “poor-get-poorer” effects across reading and mathematic achievement for additional population subgroups. Those kindergarten children who were from lower socio-economic status (SES) families, who were African-American, and who more frequently displayed learning-related behaviors problems initially had lower levels of reading and mathematics achievement and also lagged increasingly behind in their acquisition of these skills over time. Some groups of children, including those with SLI, experience a cumulative rather than compensatory cycle of achievement growth. PMID:21856991

  9. Do mathematics learning facilitators implement metacognitive ...

    African Journals Online (AJOL)

    It is widely accepted that mathematical skills are critically important in our technologically sophisticated world. Educators' metacognition directs, plans, monitors, evaluates and reflects their instructional behaviour and this can promote learners ' learning with und ers tanding. The p urpos e of this study was to investigate the ...

  10. Effects of a Mathematics Cognitive Acceleration Program on Student Achievement and Motivation

    Science.gov (United States)

    Finau, Teukava; Treagust, David F.; Won, Mihye; Chandrasegaran, A. L.

    2018-01-01

    This paper presents the effects of a cognitive acceleration program in mathematics classes on Tongan students' achievements, motivation and self-regulation. Cognitive Acceleration in Mathematics Education (CAME) is a program developed at King's College and implemented worldwide with the aim of improving students' thinking skills, mathematics…

  11. An Evaluation of Grades 9 and 10 Mathematics Textbooks Vis-À-Vis ...

    African Journals Online (AJOL)

    An Evaluation of Grades 9 and 10 Mathematics Textbooks Vis-À-Vis Fostering Problem Solving Skills. ... Document analysis was carried out on the two textbooks using Mathematics Material Analysis Instrument (MMAI) developed by Karen (1997). Interview was held with two experts from Institute of Curriculum Development ...

  12. Mathematics Diagnostic Testing in Engineering: An International Comparison between Ireland and Portugal

    Science.gov (United States)

    Carr, M.; Fidalgo, C.; Bigotte de Almeida, M. E.; Branco, J. R.; Santos, V.; Murphy, E.; Ní Fhloinn, E.

    2015-01-01

    Concern has been expressed throughout Europe about the significant deficiencies in the basic mathematical skills of many engineering undergraduates. Mathematics diagnostic tests in the UK, Ireland and Portugal have shown these shortcomings, which provide a challenge to those striving to introduce more innovative educational practices into…

  13. Primary Trait Analysis to Assess a Learner-Centered, Upper-Level Mathematics Course

    Science.gov (United States)

    Alsardary, Salar; Pontiggia, Laura; Hamid, Mohammed; Blumberg, Phyllis

    2011-01-01

    This study presents a primary trait analysis of a learner-centered, discrete mathematics course based on student-to-student instruction. The authors developed a scoring rubric for the primary traits: conceptual knowledge, procedural knowledge, application of understanding, and mathematical communication skills. Eleven students took an exam…

  14. Basic School Skills Inventory-3: Validity and Reliability Study

    Science.gov (United States)

    Yildiz, F. Ülkü; Çagdas, Aysel; Kayili, Gökhan

    2017-01-01

    The purpose of this study is to perform the validity-reliability analysis of the three subtests of Basic School Skills Inventory 3--Mathematics, Classroom Behavior and Daily Life skills--and do its adaptation for four to six year-old Turkish children. The sample of the study included 595 four to six year-old Turkish children attending public and…

  15. Mathematical simulation for compensation capacities area of pipeline routes in ship systems

    Science.gov (United States)

    Ngo, G. V.; Sakhno, K. N.

    2018-05-01

    In this paper, the authors considered the problem of manufacturability’s enhancement of ship systems pipeline at the designing stage. The analysis of arrangements and possibilities for compensation of deviations for pipeline routes has been carried out. The task was set to produce the “fit pipe” together with the rest of the pipes in the route. It was proposed to compensate for deviations by movement of the pipeline route during pipe installation and to calculate maximum values of these displacements in the analyzed path. Theoretical bases of deviation compensation for pipeline routes using rotations of parallel section pairs of pipes are assembled. Mathematical and graphical simulations of compensation area capacities of pipeline routes with various configurations are completed. Prerequisites have been created for creating an automated program that will allow one to determine values of the compensatory capacities area for pipeline routes and to assign quantities of necessary allowances.

  16. Stereotactically Standard Areas: Applied Mathematics in the Service of Brain Targeting in Deep Brain Stimulation.

    Science.gov (United States)

    Mavridis, Ioannis N

    2017-12-11

    The concept of stereotactically standard areas (SSAs) within human brain nuclei belongs to the knowledge of the modern field of stereotactic brain microanatomy. These are areas resisting the individual variability of the nuclear location in stereotactic space. This paper summarizes the current knowledge regarding SSAs. A mathematical formula of SSAs was recently invented, allowing for their robust, reproducible, and accurate application to laboratory studies and clinical practice. Thus, SSAs open new doors for the application of stereotactic microanatomy to highly accurate brain targeting, which is mainly useful for minimally invasive neurosurgical procedures, such as deep brain stimulation.

  17. Stereotactically Standard Areas: Applied Mathematics in the Service of Brain Targeting in Deep Brain Stimulation

    Directory of Open Access Journals (Sweden)

    Ioannis N. Mavridis

    2017-12-01

    Full Text Available The concept of stereotactically standard areas (SSAs within human brain nuclei belongs to the knowledge of the modern field of stereotactic brain microanatomy. These are areas resisting the individual variability of the nuclear location in stereotactic space. This paper summarizes the current knowledge regarding SSAs. A mathematical formula of SSAs was recently invented, allowing for their robust, reproducible, and accurate application to laboratory studies and clinical practice. Thus, SSAs open new doors for the application of stereotactic microanatomy to highly accurate brain targeting, which is mainly useful for minimally invasive neurosurgical procedures, such as deep brain stimulation.

  18. A Descriptive Study Examining the Impact of Digital Writing Environments on Communication and Mathematical Reasoning for Students with Learning Disabilities

    Science.gov (United States)

    Huscroft-D'Angelo, Jacqueline; Higgins, Kristina N.; Crawford, Lindy L.

    2014-01-01

    Proficiency in mathematics, including mathematical reasoning skills, requires students to communicate their mathematical thinking. Mathematical reasoning involves making sense of mathematical concepts in a logical way to form conclusions or judgments, and is often underdeveloped in students with learning disabilities. Technology-based environments…

  19. National Center for Mathematics and Science - publications

    Science.gov (United States)

    : Designing Statistics Instruction for Middle School Students Summer 2003: Algebraic Skills and Strategies for newsletter cover The National Center for Research in Mathematical Sciences Education (NCRMSE) (1987-1995 -Level Reform Fall 1993: Assessment Models Winter 1994: Reforming Geometry Spring 1994: Statistics and

  20. Role of medial premotor areas in action language processing in relation to motor skills.

    Science.gov (United States)

    Courson, Melody; Macoir, Joël; Tremblay, Pascale

    2017-10-01

    The literature reports that the supplementary motor area (SMA) and pre-supplementary motor area (pre-SMA) are involved in motor planning and execution, and in motor-related cognitive functions such as motor imagery. However, their specific role in action language processing remains unclear. In the present study, we investigated the impact of repetitive transcranial magnetic stimulation (rTMS) over SMA and pre-SMA during an action semantic analogy task (SAT) in relation with fine motor skills (i.e., manual dexterity) and motor imagery abilities in healthy non-expert adults. The impact of rTMS over SMA (but not pre-SMA) on reaction times (RT) during SAT was correlated with manual dexterity. Specifically, results show that rTMS over SMA modulated RT for those with lower dexterity skills. Our results therefore demonstrate a causal involvement of SMA in action language processing, as well as the existence of inter-individual differences in this involvement. We discuss these findings in light of neurolinguistic theories of language processing. Copyright © 2017 Elsevier Ltd. All rights reserved.

  1. Technology use among Ghanaian Senior High School mathematics ...

    African Journals Online (AJOL)

    kofi.mereku

    mathematics teachers and to also uncover the factors influencing their technology use ... the World Links for Development (WorLD)programme was introduced in ... students critical thinking skills and to foster their higher order cognitive abilities ...

  2. Mathematical modelling

    CERN Document Server

    2016-01-01

    This book provides a thorough introduction to the challenge of applying mathematics in real-world scenarios. Modelling tasks rarely involve well-defined categories, and they often require multidisciplinary input from mathematics, physics, computer sciences, or engineering. In keeping with this spirit of modelling, the book includes a wealth of cross-references between the chapters and frequently points to the real-world context. The book combines classical approaches to modelling with novel areas such as soft computing methods, inverse problems, and model uncertainty. Attention is also paid to the interaction between models, data and the use of mathematical software. The reader will find a broad selection of theoretical tools for practicing industrial mathematics, including the analysis of continuum models, probabilistic and discrete phenomena, and asymptotic and sensitivity analysis.

  3. Pre-Service Physics Teachers’ Problem-solving Skills in Projectile Motion Concept

    Science.gov (United States)

    Sutarno, S.; Setiawan, A.; Kaniawati, I.; Suhandi, A.

    2017-09-01

    This study is a preliminary research aiming at exploring pre-service physics teachers’ skills in applying the stage of problem-solving strategies. A total of 76 students of physics education study program at a college in Bengkulu Indonesia participated in the study. The skills on solving physics problems are being explored through exercises that demand the use of problem-solving strategies with several stages such as useful description, physics approach, specific application of physics, physics equation, mathematical procedures, and logical progression. Based on the results of data analysis, it is found that the pre-service physics teachers’ skills are in the moderate category for physics approach and mathematical procedural, and low category for the others. It was concluded that the pre-service physics teachers’ problem-solving skills are categorized low. It is caused by the learning of physics that has done less to practice problem-solving skills. The problems provided are only routine and poorly trained in the implementation of problem-solving strategies.The results of the research can be used as a reference for the importance of the development of physics learning based on higher order thinking skills.

  4. Trends in Basic Mathematical Competencies of Beginning Undergraduates in Ireland, 2003-2013

    Science.gov (United States)

    Treacy, Páraic; Faulkner, Fiona

    2015-01-01

    Deficiencies in beginning undergraduate students' basic mathematical skills has been an issue of concern in higher education, particularly in the past 15 years. This issue has been tracked and analysed in a number of universities in Ireland and internationally through student scores recorded in mathematics diagnostic tests. Students beginning…

  5. Utilizing geogebra in financial mathematics problems: didactic experiment in vocational college

    Science.gov (United States)

    Ghozi, Saiful; Yuniarti, Suci

    2017-12-01

    GeoGebra application offers users to solve real problems in geometry, statistics, and algebra fields. This studydeterminesthe effect of utilizing Geogebra on students understanding skill in the field of financial mathematics. This didactic experiment study used pre-test-post-test control group design. Population of this study were vocational college students in Banking and Finance Program of Balikpapan State Polytechnic. Two classes in the first semester were chosen using cluster random sampling technique, one class as experiment group and one class as control group. Data were analysed used independent sample t-test. The result of data analysis showed that students understanding skill with learning by utilizing GeoGeobra is better than students understanding skill with conventional learning. This result supported that utilizing GeoGebra in learning can assist the students to enhance their ability and depth understanding on mathematics subject.

  6. A Case Study on Mathematical Literacy of Prospective Elementary School Teachers

    Science.gov (United States)

    Suharta, I. Gusti Putu; Suarjana, I. Made

    2018-01-01

    The purpose of this study is to describe Mathematical Literacy (ML) of Prospective Elementary School Teachers with attention to aspects of mathematical skills and gender. The type of research is qualitative with the research design of Case Study. Respondents are assigned 12 Prospective Elementary School Teachers, consisting of 6 men and 6 women.…

  7. How do open-ended problems promote mathematical creativity? A reflection of bare mathematics problem and contextual problem

    Science.gov (United States)

    Wijaya, A.

    2018-03-01

    Creativity is often seen as one of the fundamental aspects of character education. As one of the 21st century skills, creativity has also been considered as an important goal of education across the world. This paper reports a study on promoting mathematical creativity through the use of open-ended mathematics problems. A total of 53 undergraduate students participated in the study. These students worked on open-ended problems in two types, i.e. bare mathematics problem and contextual problem. The contextual problem was presented in the form of paper-based and Geogebra-based. The students’ works were analysed qualitatively in order to describe how students’ mathematical creativity developed. It was found that the open-ended problems successfully promote students’ creativity as indicated by various solutions or strategies that were used by students to solve the problems. The analysis of students’ works show that students’ creativity developed through three kinds of exploration, i. e. (1) exploration of contexts, (2) exploration of software features, and (3) exploration of mathematics concepts. The use of metacognitive questioning was found to be helpful to develop the first two explorations into mathematical exploration.

  8. Mathematics: Foundations for Business. Instructor's Guide.

    Science.gov (United States)

    Hopfe, Manfred W.; Bianci-Rossi, Larry

    This is the instructor's guide to a text designed for the contemporary business student who frequently questions the need for studying mathematics. The text material is presented in a "building-block" fashion, with skills learned in earlier chapters organized to provide a smooth transition into more difficult topics. This guide consists…

  9. Soft Skills: The New Curriculum for Hard-Core Technical Professionals

    Science.gov (United States)

    Bancino, Randy; Zevalkink, Claire

    2007-01-01

    In this article, the authors talk about the importance of soft skills for hard-core technical professionals. In many technical professions, the complete focus of education and training is on technical topics either directly or indirectly related to a career or discipline. Students are generally required to master various mathematics skills,…

  10. Entrepreneur Program. COM-LINK. Competency Based Vocational Curricula with Basic Skills and Academic Linkages.

    Science.gov (United States)

    De Maria, Richard

    This competency-based module uses the Ocean County (New Jersey) Vocational-Technical Schools curriculum-infused model for infusing basic skills instruction into vocational education. The document consists of matrices that describe the relationship of vocational skills to basic communication, mathematics, and science skills within the entrepreneur…

  11. Risky business: Correlation and causation in longitudinal studies of skill development.

    Science.gov (United States)

    Bailey, Drew H; Duncan, Greg J; Watts, Tyler; Clements, Doug H; Sarama, Julie

    2018-01-01

    Developmental theories often posit that changes in children's early psychological characteristics will affect much later psychological, social, and economic outcomes. However, tests of these theories frequently yield results that are consistent with plausible alternative theories that posit a much smaller causal role for earlier levels of these psychological characteristics. Our article explores this issue with empirical tests of skill-building theories, which predict that early boosts to simpler skills (e.g., numeracy or literacy) or behaviors (e.g., antisocial behavior or executive functions) support the long-term development of more sophisticated skills or behaviors. Substantial longitudinal associations between academic or socioemotional skills measured early and then later in childhood or adolescence are often taken as support of these skill-building processes. Using the example of skill-building in mathematics, we argue that longitudinal correlations, even if adjusted for an extensive set of baseline covariates, constitute an insufficiently risky test of skill-building theories. We first show that experimental manipulation of early math skills generates much smaller effects on later math achievement than the nonexperimental literature has suggested. We then conduct falsification tests that show puzzlingly high cross-domain associations between early math and later literacy achievement. Finally, we show that a skill-building model positing a combination of unmeasured stable factors and skill-building processes can reproduce the pattern of experimental impacts on children's mathematics achievement. Implications for developmental theories, methods, and practice are discussed. (PsycINFO Database Record (c) 2018 APA, all rights reserved).

  12. Visuospatial training improves elementary students' mathematics performance.

    Science.gov (United States)

    Lowrie, Tom; Logan, Tracy; Ramful, Ajay

    2017-06-01

    Although spatial ability and mathematics performance are highly correlated, there is scant research on the extent to which spatial ability training can improve mathematics performance. This study evaluated the efficacy of a visuospatial intervention programme within classrooms to determine the effect on students' (1) spatial reasoning and (2) mathematics performance as a result of the intervention. The study involved grade six students (ages 10-12) in eight classes. There were five intervention classes (n = 120) and three non-intervention control classes (n = 66). A specifically designed 10-week spatial reasoning programme was developed collaboratively with the participating teachers, with the intervention replacing the standard mathematics curriculum. The five classroom teachers in the intervention programme presented 20 hr of activities aimed at enhancing students' spatial visualization, mental rotation, and spatial orientation skills. The spatial reasoning programme led to improvements in both spatial ability and mathematics performance relative to the control group who received standard mathematics instruction. Our study is the first to show that a classroom-based spatial reasoning intervention improves elementary school students' mathematics performance. © 2017 The British Psychological Society.

  13. Mathematics Literacy of Secondary Students in Solving Simultanenous Linear Equations

    Science.gov (United States)

    Sitompul, R. S. I.; Budayasa, I. K.; Masriyah

    2018-01-01

    This study examines the profile of secondary students’ mathematical literacy in solving simultanenous linear equations problems in terms of cognitive style of visualizer and verbalizer. This research is a descriptive research with qualitative approach. The subjects in this research consist of one student with cognitive style of visualizer and one student with cognitive style of verbalizer. The main instrument in this research is the researcher herself and supporting instruments are cognitive style tests, mathematics skills tests, problem-solving tests and interview guidelines. Research was begun by determining the cognitive style test and mathematics skill test. The subjects chosen were given problem-solving test about simultaneous linear equations and continued with interview. To ensure the validity of the data, the researcher conducted data triangulation; the steps of data reduction, data presentation, data interpretation, and conclusion drawing. The results show that there is a similarity of visualizer and verbalizer-cognitive style in identifying and understanding the mathematical structure in the process of formulating. There are differences in how to represent problems in the process of implementing, there are differences in designing strategies and in the process of interpreting, and there are differences in explaining the logical reasons.

  14. PENINGKATAN SOFT SKILLS SISWA SMP MELALUI PEMBELAJARAN GENERATIF

    Directory of Open Access Journals (Sweden)

    La Moma

    2015-06-01

    Full Text Available Abstrak: Soft skills merupakan faktor yang turut menunjang kesuksesan siswa belajar matematika. Perlu ada upaya untuk menerapkan suatu model pembelajaran yang dapat memicu peningkatan soft skills siswa dalam matematika. Penelitian ini menerapkan model pembelajaran generatif sebagai alternatif pembelajaran yang diperkirakan akan memicu peningkatan ketiga kemampuan tersebut. Tujuan penelitian untuk mengetahui seberapa besar kontribusi penerapan model tersebut terhadap peningkatan kemampuan soft skills pada level sekolah (tinggi, sedang dan rendah. Penelitian menerapkan desain kuasi eksperimen. Sampel terdiri atas 191 orang siswa kelas VIII pada tiga SMP Negeri di Kota Yogyakarta yang mewakili level sekolah. Pengumpulan data dilakukan dengan teknik tes (pretes dan postes, sedang analisis data menggunakan statistik uji-t dan anova dua jalur. Dari hasil analisis data ditemukan bahwa (1 ada perbedaan pencapaian, peningkatan soft skills siswa antara kelas eksperimen dan kelas kontrol; (2 tidak terdapat interaksi antara pembelajaran dan level sekolah terhadap peningkatan soft skills. Kata Kunci: kemampuan soft skills, pembelajaran generatif THE ENHANCEMENT OF JUNIOR HIGH SCHOOL STUDENTS SOFT SKILLS THROUGH GENERATIVE LEARNING Abstract: Soft skills are factors that support students success in learning mathematics. The importance of the students soft skills, unfortunately, are not in line with at the students abilities in these competence. Therefore, we have to implemented a learning model that is expected to lead development soft skills of the students in mathematics. Generative learning model is applied in this study as an alternative learning is predicted to stimulate development soft skills of the students. This study is aimed at determining the contribution of generative learning model of the enhancement of soft skills for difference school levels (high, medium, low.This study is quasi-experimental research involving 191 students of eight

  15. Using Task Like PISA's Problem to Support Students' Creativity in Mathematics

    Science.gov (United States)

    Novita, Rita; Putra, Mulia

    2016-01-01

    Creativity is one of keys to success in the evolving global economy and also be a fundamental skill that is absolutely necessary in the 21st century. Also in mathematics, creativity or thinking creatively is important to be developed because creativity is an integral part of mathematics. However, limiting the use of creativity in the classroom…

  16. African Journals Online: Chemistry, Mathematics & Physics

    African Journals Online (AJOL)

    Items 1 - 36 of 36 ... African Journal of Educational Studies in Mathematics and Sciences ... statistics, operational research, financial mathematics and about the annexes ... research work in all areas of mathematical sciences and application at all ...

  17. Basic Math Skills and Performance in an Introductory Economics Class

    Science.gov (United States)

    Ballard, Charles L.; Johnson, Marianne F.

    2004-01-01

    The authors measure math skills with a broader set of explanatory variables than have been used in previous studies. To identify what math skills are important for student success in introductory microeconomics, they examine (1) the student's score on the mathematics portion of the ACT Assessment Test, (2) whether the student has taken calculus,…

  18. Early language and executive skills predict variations in number and arithmetic skills in children at family-risk of dyslexia and typically developing controls.

    Science.gov (United States)

    Moll, Kristina; Snowling, Margaret J; Göbel, Silke M; Hulme, Charles

    2015-08-01

    Two important foundations for learning are language and executive skills. Data from a longitudinal study tracking the development of 93 children at family-risk of dyslexia and 76 controls was used to investigate the influence of these skills on the development of arithmetic. A two-group longitudinal path model assessed the relationships between language and executive skills at 3-4 years, verbal number skills (counting and number knowledge) and phonological processing skills at 4-5 years, and written arithmetic in primary school. The same cognitive processes accounted for variability in arithmetic skills in both groups. Early language and executive skills predicted variations in preschool verbal number skills, which in turn, predicted arithmetic skills in school. In contrast, phonological awareness was not a predictor of later arithmetic skills. These results suggest that verbal and executive processes provide the foundation for verbal number skills, which in turn influence the development of formal arithmetic skills. Problems in early language development may explain the comorbidity between reading and mathematics disorder.

  19. Mathematics for computer graphics

    CERN Document Server

    Vince, John

    2006-01-01

    Helps you understand the mathematical ideas used in computer animation, virtual reality, CAD, and other areas of computer graphics. This work also helps you to rediscover the mathematical techniques required to solve problems and design computer programs for computer graphic applications

  20. The relationship between gross motor skills and academic achievement in children with learning disabilities.

    Science.gov (United States)

    Westendorp, Marieke; Hartman, Esther; Houwen, Suzanne; Smith, Joanne; Visscher, Chris

    2011-01-01

    The present study compared the gross motor skills of 7- to 12-year-old children with learning disabilities (n = 104) with those of age-matched typically developing children (n = 104) using the Test of Gross Motor Development-2. Additionally, the specific relationships between subsets of gross motor skills and academic performance in reading, spelling, and mathematics were examined in children with learning disabilities. As expected, the children with learning disabilities scored poorer on both the locomotor and object-control subtests than their typically developing peers. Furthermore, in children with learning disabilities a specific relationship was observed between reading and locomotor skills and a trend was found for a relationship between mathematics and object-control skills: the larger children's learning lag, the poorer their motor skill scores. This study stresses the importance of specific interventions facilitating both motor and academic abilities. Copyright © 2011 Elsevier Ltd. All rights reserved.

  1. Developing A-level physics students' mathematical skills - a way forward?

    Science.gov (United States)

    Raw, A. J.

    1999-09-01

    This article outlines research that details the mathematical difficulties of physics students and it also discusses various projects to overcome these difficulties. The successes of these projects are very encouraging and show a way forward for A-level physics teaching.

  2. From geometry to algebra and vice versa: Realistic mathematics education principles for analyzing geometry tasks

    Science.gov (United States)

    Jupri, Al

    2017-04-01

    In this article we address how Realistic Mathematics Education (RME) principles, including the intertwinement and the reality principles, are used to analyze geometry tasks. To do so, we carried out three phases of a small-scale study. First we analyzed four geometry problems - considered as tasks inviting the use of problem solving and reasoning skills - theoretically in the light of the RME principles. Second, we tested two problems to 31 undergraduate students of mathematics education program and other two problems to 16 master students of primary mathematics education program. Finally, we analyzed student written work and compared these empirical to the theoretical results. We found that there are discrepancies between what we expected theoretically and what occurred empirically in terms of mathematization and of intertwinement of mathematical concepts from geometry to algebra and vice versa. We conclude that the RME principles provide a fruitful framework for analyzing geometry tasks that, for instance, are intended for assessing student problem solving and reasoning skills.

  3. Mathematics++ selected topics beyond the basic courses

    CERN Document Server

    Kantor, Ida; Šámal, Robert

    2015-01-01

    Mathematics++ is a concise introduction to six selected areas of 20th century mathematics providing numerous modern mathematical tools used in contemporary research in computer science, engineering, and other fields. The areas are: measure theory, high-dimensional geometry, Fourier analysis, representations of groups, multivariate polynomials, and topology. For each of the areas, the authors introduce basic notions, examples, and results. The presentation is clear and accessible, stressing intuitive understanding, and it includes carefully selected exercises as an integral part. Theory is comp

  4. COMPUTER EVALUATION OF SKILLS FORMATION QUALITY IN THE IMPLEMENTATION OF COMPETENCE-BASED APPROACH TO LEARNING

    Directory of Open Access Journals (Sweden)

    Vitalia A. Zhuravleva

    2014-01-01

    Full Text Available The article deals with the problem of effective organization of skills forming as an important part of the competence approach in education, implemented via educational standards of new generation. The solution of the problem suggests using of computer tools to assess the quality of skills formation and abilities based on the proposed model of the problem. This paper proposes an approach to creating an assessing model of the level of skills formation in knowledge management systems based on mathematical modeling methods. Attention is paid to the evaluation strategy and technology of assessment, which is based on the use of rules of fuzzy mathematics. Algorithmic implementation of the proposed model of evaluation of the quality of skills development is shown as well. 

  5. Number line estimation strategies in children with mathematical learning difficulties measured by eye tracking

    NARCIS (Netherlands)

    van 't Noordende, Jaccoline E|info:eu-repo/dai/nl/369862422; van Hoogmoed, Anne H|info:eu-repo/dai/nl/314839496; Schot, Willemijn D; Kroesbergen, Evelyn H|info:eu-repo/dai/nl/241607949

    INTRODUCTION: Number line estimation is one of the skills related to mathematical performance. Previous research has shown that eye tracking can be used to identify differences in the estimation strategies children with dyscalculia and children with typical mathematical development use on number

  6. Number line estimation strategies in children with mathematical learning difficulties measured by eye tracking

    NARCIS (Netherlands)

    van’t Noordende, Jaccoline E.; van Hoogmoed, Anne H.; Schot, Willemijn D.; Kroesbergen, Evelyn H.

    2016-01-01

    Introduction: Number line estimation is one of the skills related to mathematical performance. Previous research has shown that eye tracking can be used to identify differences in the estimation strategies children with dyscalculia and children with typical mathematical development use on number

  7. A pilot study of the effects of RightStart instruction on early numeracy skills of children with specific language impairment.

    Science.gov (United States)

    Mononen, Riikka; Aunio, Pirjo; Koponen, Tuire

    2014-05-01

    This pilot study investigated the effects of an early numeracy program, RightStart Mathematics (RS), on Finnish kindergartners with specific language impairment (SLI). The study applied a pre-test-instruction-post-test design. The children with SLI (n=9, Mage=82.11 months) received RS instruction two to three times a week for 40 min over seven months, which replaced their business-as-usual mathematics instruction. Mathematical skill development among children with SLI was examined at the individual and group levels, and compared to the performance of normal language-achieving age peers (n=32, Mage=74.16 months) who received business-as-usual kindergarten mathematics instruction. The children with SLI began kindergarten with significantly weaker early numeracy skills compared to their peers. Immediately after the instruction phase, there was no significant difference between the groups in counting skills. In Grade 1, the children with SLI performed similarly to their peers in addition and subtraction skills (accuracy) and multi-digit number comparison, but showed weaker skills in arithmetical reasoning and in matching spoken and printed multi-digit numbers. Our pilot study showed encouraging signs that the early numeracy skills of children with SLI can be improved successfully in a kindergarten small-classroom setting with systematic instruction emphasizing visualization. Copyright © 2014 Elsevier Ltd. All rights reserved.

  8. How to Build a Course in Mathematical-Biological Modeling: Content and Processes for Knowledge and Skill

    Science.gov (United States)

    Hoskinson, Anne-Marie

    2010-01-01

    Biological problems in the twenty-first century are complex and require mathematical insight, often resulting in mathematical models of biological systems. Building mathematical-biological models requires cooperation among biologists and mathematicians, and mastery of building models. A new course in mathematical modeling presented the opportunity…

  9. Enhancing mathematics teachers' pedagogical content knowledge and skills in Tanzania

    NARCIS (Netherlands)

    Kitta, S.

    2004-01-01

    The study has revealed that the use of a comprehensive, school-based programme, emphasising peer collaboration, can be a promising scenario for professional development of mathematics teachers in Tanzania. Such a comprehensive approach has the potential of supporting teachers with diverse levels of

  10. Spatial mathematics theory and practice through mapping

    CERN Document Server

    Arlinghaus, Sandra Lach

    2013-01-01

    In terms of statistics, GIS offers many connections. With GIS, data are gathered, displayed, summarized, examined, and interpreted to discover patterns. Spatial Mathematics: Theory and Practice through Mapping uses GIS as a platform to teach mathematical concepts and skills through visualization of numbers. It examines theory and practice from disparate academic disciplines such as geography, mathematics, physics, and general social science. This approach allows students to grapple with biodiversity, crime, natural hazards, climate, energy, water, and other relevant real-world issues of the twenty-first century. Includes QR Codes Linked to Animated Maps, a Mapping Activity Site, or to an Interactive Webpage, Creating an Interactive Resource That Stays Relevant The book integrates competing philosophical views of the world: synthesis and analysis. These two approaches yield different results and employ different tools. This book considers both approaches to looking at real-world issues that have mathematics as...

  11. The effect of integrating lab experiments in electronic circuits into mathematic studies - a case study

    Science.gov (United States)

    Sabag, Nissim

    2017-10-01

    The importance of knowledge and skills in mathematics for electrical engineering students is well known. Engineers and engineering educators agree that any engineering curriculum must include plenty of mathematics studies to enrich the engineer's toolbox. Nevertheless, little attention has been given to the possible contribution of examples from engineering fields for the clarification of mathematical issues.

  12. The Mathematics of Skateboarding: A Relevant Application of the 5Es of Constructivism

    Science.gov (United States)

    Robertson, William H.; Meyer, Rachelle D.; Wilkerson, Trena L.

    2012-01-01

    Getting high school students to enjoy mathematics and to connect concepts to their daily lives is a challenge for many educators. The Mathematics of Skateboarding demonstrated innovative and creative ways to engage students in content and skills mapped to state requirements for high school students in Algebra and Geometry.

  13. Fluid reasoning predicts future mathematics among children and adolescents

    Science.gov (United States)

    Green, Chloe T.; Bunge, Silvia A.; Chiongbian, Victoria Briones; Barrow, Maia; Ferrer, Emilio

    2017-01-01

    The aim of this longitudinal study was to determine whether fluid reasoning (FR) plays a significant role in the acquisition of mathematics skills, above and beyond the effects of other cognitive and numerical abilities. Using a longitudinal cohort sequential design, we examined how FR measured at three assessment occasions, spaced approximately 1.5 years apart, predicted math outcomes for a group of 69 participants between ages 6 and 21 across all three assessment occasions. We used structural equation modeling (SEM) to examine the direct and indirect relations between children's prior cognitive abilities and their future math achievement. A model including age, FR, vocabulary, and spatial skills accounted for 90% of the variance in future math achievement. In this model, FR was the only significant predictor of future math achievement; neither age, vocabulary, nor spatial skills were significant predictors. Thus, FR was the only predictor of future math achievement across a wide age range that spanned primary and secondary school. These findings build on Cattell's conceptualization of FR (Cattell, 1987) as a scaffold for learning, showing that this domain-general ability supports the acquisition of rudimentary math skills as well as the ability to solve more complex mathematical problems. PMID:28152390

  14. Enhancing Science and Mathematics Education for Child Care Providers and Preschool Teachers.

    Science.gov (United States)

    White, Jennifer Meux; Hosoume, Kimi

    The Lawrence Hall of Science (LHS), University of California at Berkeley has completed a 3-year project to develop a science and mathematics education course and science curriculum for early childhood educators. This project was in response to the need for improving the science and mathematics knowledge and teaching skills of adults who work with…

  15. Time Estimation Deficits in Childhood Mathematics Difficulties

    Science.gov (United States)

    Hurks, Petra P. M.; van Loosbroek, Erik

    2014-01-01

    Time perception has not been comprehensively examined in mathematics difficulties (MD). Therefore, verbal time estimation, production, and reproduction were tested in 13 individuals with MD and 16 healthy controls, matched for age, sex, and intellectual skills. Individuals with MD performed comparably to controls in time reproduction, but showed a…

  16. Mathematics Difficulties: Does One Approach Fit All?

    Science.gov (United States)

    Gifford, Sue; Rockliffe, Freda

    2012-01-01

    This article reviews the nature of learning difficulties in mathematics and, in particular, the nature and prevalence of dyscalculia, a condition that affects the acquisition of arithmetical skills. The evidence reviewed suggests that younger children (under the age of 10) often display a combination of problems, including minor physical…

  17. Helping students mathematical construction on square and rectangle’s area by using Sarong motive chess

    Science.gov (United States)

    Zuliana, Eka; Setyawan, Fariz; Veloo, Arsaythamby

    2017-12-01

    The aim of this study is developing the learning trajectory to construct students’ understanding of the concept of the area of square and rectangle by using Sarong Motive Chess. This research is a design research which is consists of three stages. The stages are preparing for the experiment, designing experiment, and making a retrospective analysis. The activities started by the activity of using sarong motive chess as the manipulative measurement unit. The Sarong motive chess helps students to understand the concept of area of square and rectangle. In the formal stage of cognitive level, students estimate the area of square and rectangle by determining the square unit at the surface area of sarong through many ways. The result of this study concludes that Sarong motive chess can be used for mathematics learning process. It helps the students to construct the concept of a square and rectangle’s area. This study produces learning trajectory to construct the concept of a square and rectangle’s area by using Sarong motive chess, especially for elementary school students.

  18. Some lessons in mathematics: a comparison of mathematics teaching in Japan and America

    OpenAIRE

    Jones, Keith

    1997-01-01

    As part of the Third International Mathematics and Science Study (TIMSS), a representative sample of Year 9 classrooms in Japan and the United States were video-taped. Analysis of this data is enabling comparisons to be made of the teaching methods typically employed in these two countries. Findings suggest that while the typical US lesson emphasised skill acquisition, the typical Japanese lesson focused on the solving of complex problems through pupil exploration and presentation.

  19. Nuclear medicine and mathematics

    Energy Technology Data Exchange (ETDEWEB)

    Pedroso de Lima, J.J. [Dept. de Biofisica e Proc. de Imagem, IBILI - Faculdade de Medicina, Coimbra (Portugal)

    1996-06-01

    The purpose of this review is not to present a comprehensive description of all the mathematical tools used in nuclear medicine, but to emphasize the importance of the mathematical method in nuclear medicine and to elucidate some of the mathematical concepts currently used. We can distinguish three different areas in which mathematical support has been offered to nuclear medicine: Physiology, methodology and data processing. Nevertheless, the boundaries between these areas can be indistinct. It is impossible in a single article to give even an idea of the extent and complexity of the procedures currently usede in nuclear medicine, such as image processing, reconstruction from projections and artificial intelligence. These disciplines do not belong to nuclear medicine: They are already branches of engineering, and my interest will reside simply in revealing a little of the elegance and the fantastic potential of these new `allies` of nuclear medicine. In this review the mathematics of physiological interpretation and methodology are considered together in the same section. General aspects of data-processing methods, including image processing and artificial intelligence, are briefly analysed. The mathematical tools that are most often used to assist the interpretation of biological phenomena in nuclear medicine are considered; these include convolution and deconvolution methods, Fourier analysis, factorial analysis and neural networking. (orig.)

  20. Nuclear medicine and mathematics

    International Nuclear Information System (INIS)

    Pedroso de Lima, J.J.

    1996-01-01

    The purpose of this review is not to present a comprehensive description of all the mathematical tools used in nuclear medicine, but to emphasize the importance of the mathematical method in nuclear medicine and to elucidate some of the mathematical concepts currently used. We can distinguish three different areas in which mathematical support has been offered to nuclear medicine: Physiology, methodology and data processing. Nevertheless, the boundaries between these areas can be indistinct. It is impossible in a single article to give even an idea of the extent and complexity of the procedures currently usede in nuclear medicine, such as image processing, reconstruction from projections and artificial intelligence. These disciplines do not belong to nuclear medicine: They are already branches of engineering, and my interest will reside simply in revealing a little of the elegance and the fantastic potential of these new 'allies' of nuclear medicine. In this review the mathematics of physiological interpretation and methodology are considered together in the same section. General aspects of data-processing methods, including image processing and artificial intelligence, are briefly analysed. The mathematical tools that are most often used to assist the interpretation of biological phenomena in nuclear medicine are considered; these include convolution and deconvolution methods, Fourier analysis, factorial analysis and neural networking. (orig.)

  1. Helwan University Project Developing Primary School Pupils' Abilities and Skills at Some Egyptian Underprivileged Areas (Slums). (Field Study)

    Science.gov (United States)

    El-Tayeb, Mahmoud N.; El Nashar, Mohamed; Zeid, Mai M.; El-Sayed, Magda; Ramadan, Mohamed A.; Hamdi, Safia M.; El-Affy, Nabila; Ebeid, Amina K.; El-Marasi, Sonia S.; Abou-Elmahty, Maher

    2010-01-01

    Through directing concerted efforts and educational services of seven Faculties of Helwan University towards socially underprivileged pupils in slum areas (EL-Marg area in big Cairo) this research project had two main aims: firstly, modifying a set of arbitrary behaviors of those pupils, in a trial to develop some behavior skills associated with…

  2. The Teaching of Mathematics in Secondary Schools as a Tool for Self-Reliance and Re-Branding Process in Nigeria

    Science.gov (United States)

    Jonah, Tali D.; Caleb, Mbwas .L.; Stephen, Abe A.

    2012-01-01

    Mathematics teaching is an interaction between the teacher and the learners that leads to acquisition of desirable mathematical knowledge, ideas and skills necessary for applicability in our everyday life. This paper therefore looks at the concept of self-reliance, the concept of mathematics teaching, problems and prospects of mathematics teaching…

  3. Mathematics Instruction for Students with Emotional and Behavioral Disorders: A Best-Evidence Synthesis

    Science.gov (United States)

    Ralston, Nicole C.; Benner, Gregory J.; Tsai, Shu-Fei; Riccomini, Paul J.; Nelson, J. Ron

    2014-01-01

    The authors report findings of a best-evidence synthesis of the effects of mathematics instruction on the mathematics skills of students with emotional and behavioral disorders. The goal of the synthesis was to extend previous research by (a) detailing independent variables, instructional components, and outcome measures for each study; (b)…

  4. Early numerical foundations of young children's mathematical development.

    Science.gov (United States)

    Chu, Felicia W; vanMarle, Kristy; Geary, David C

    2015-04-01

    This study focused on the relative contributions of the acuity of the approximate number system (ANS) and knowledge of quantitative symbols to young children's early mathematical learning. At the beginning of preschool, 191 children (Mage=46 months) were administered tasks that assessed ANS acuity and explicit knowledge of the cardinal values represented by number words, and their mathematics achievement was assessed at the end of the school year. Children's executive functions, intelligence, and preliteracy skills and their parents' educational levels were also assessed and served as covariates. Both the ANS and cardinality tasks were significant predictors of end-of-year mathematics achievement with and without control of the covariates. As simultaneous predictors and with control of the covariates, cardinality remained significantly related to mathematics achievement, but ANS acuity did not. Mediation analyses revealed that the relation between ANS acuity and mathematics achievement was fully mediated by cardinality, suggesting that the ANS may facilitate children's explicit understanding of cardinal value and in this way may indirectly influence early mathematical learning. Copyright © 2015 Elsevier Inc. All rights reserved.

  5. International Mathematical Internet Olympiad

    Directory of Open Access Journals (Sweden)

    Alexander Domoshnitsky

    2012-10-01

    Full Text Available Modern Internet technologies open new possibilities in wide spectrum of traditional methods used in mathematical education. One of the areas, where these technologies can be efficiently used, is an organization of mathematical competitions. Contestants can stay at their schools or universities and try to solve as many mathematical problems as possible and then submit their solutions through Internet. Simple Internet technologies supply audio and video connection between participants and organizers.

  6. Frequency of Home Numeracy Activities Is Differentially Related to Basic Number Processing and Calculation Skills in Kindergartners

    Science.gov (United States)

    Mutaf Yıldız, Belde; Sasanguie, Delphine; De Smedt, Bert; Reynvoet, Bert

    2018-01-01

    Home numeracy has been shown to play an important role in children’s mathematical performance. However, findings are inconsistent as to which home numeracy activities are related to which mathematical skills. The present study disentangled between various mathematical abilities that were previously masked by the use of composite scores of mathematical achievement. Our aim was to shed light on the specific associations between home numeracy and various mathematical abilities. The relationships between kindergartners’ home numeracy activities, their basic number processing and calculation skills were investigated. Participants were 128 kindergartners (Mage = 5.43 years, SD = 0.29, range: 4.88–6.02 years) and their parents. The children completed non-symbolic and symbolic comparison tasks, non-symbolic and symbolic number line estimation tasks, mapping tasks (enumeration and connecting), and two calculation tasks. Their parents completed a home numeracy questionnaire. Results indicated small but significant associations between formal home numeracy activities that involved more explicit teaching efforts (i.e., identifying numerals, counting) and children’s enumeration skills. There was no correlation between formal home numeracy activities and non-symbolic number processing. Informal home numeracy activities that involved more implicit teaching attempts, such as “playing games” and “using numbers in daily life,” were (weakly) correlated with calculation and symbolic number line estimation, respectively. The present findings suggest that disentangling between various basic number processing and calculation skills in children might unravel specific relations with both formal and informal home numeracy activities. This might explain earlier reported contradictory findings on the association between home numeracy and mathematical abilities. PMID:29623055

  7. Frequency of Home Numeracy Activities Is Differentially Related to Basic Number Processing and Calculation Skills in Kindergartners.

    Science.gov (United States)

    Mutaf Yıldız, Belde; Sasanguie, Delphine; De Smedt, Bert; Reynvoet, Bert

    2018-01-01

    Home numeracy has been shown to play an important role in children's mathematical performance. However, findings are inconsistent as to which home numeracy activities are related to which mathematical skills. The present study disentangled between various mathematical abilities that were previously masked by the use of composite scores of mathematical achievement. Our aim was to shed light on the specific associations between home numeracy and various mathematical abilities. The relationships between kindergartners' home numeracy activities, their basic number processing and calculation skills were investigated. Participants were 128 kindergartners ( M age = 5.43 years, SD = 0.29, range: 4.88-6.02 years) and their parents. The children completed non-symbolic and symbolic comparison tasks, non-symbolic and symbolic number line estimation tasks, mapping tasks (enumeration and connecting), and two calculation tasks. Their parents completed a home numeracy questionnaire. Results indicated small but significant associations between formal home numeracy activities that involved more explicit teaching efforts (i.e., identifying numerals, counting) and children's enumeration skills. There was no correlation between formal home numeracy activities and non-symbolic number processing. Informal home numeracy activities that involved more implicit teaching attempts , such as "playing games" and "using numbers in daily life," were (weakly) correlated with calculation and symbolic number line estimation, respectively. The present findings suggest that disentangling between various basic number processing and calculation skills in children might unravel specific relations with both formal and informal home numeracy activities. This might explain earlier reported contradictory findings on the association between home numeracy and mathematical abilities.

  8. The Association between Preschool Children's Social Functioning and Their Emergent Academic Skills

    Science.gov (United States)

    Arnold, David H.; Kupersmidt, Janis B.; Voegler-Lee, Mary Ellen; Marshall, Nastassja A.

    2012-01-01

    This study examined the relationship between social functioning and emergent academic development in a sample of 467 preschool children (M=55.9 months old, SD=3.8). Teachers reported on children's aggression, attention problems, and prosocial skills. Preliteracy, language, and early mathematics skills were assessed with standardized tests. Better…

  9. Upgrading geometry conceptual understanding and strategic competence through implementing rigorous mathematical thinking (RMT)

    Science.gov (United States)

    Nugraheni, Z.; Budiyono, B.; Slamet, I.

    2018-03-01

    To reach higher order thinking skill, needed to be mastered the conceptual understanding and strategic competence as they are two basic parts of high order thinking skill (HOTS). RMT is a unique realization of the cognitive conceptual construction approach based on Feurstein with his theory of Mediated Learning Experience (MLE) and Vygotsky’s sociocultural theory. This was quasi-experimental research which compared the experimental class that was given Rigorous Mathematical Thinking (RMT) as learning method and the control class that was given Direct Learning (DL) as the conventional learning activity. This study examined whether there was different effect of two learning model toward conceptual understanding and strategic competence of Junior High School Students. The data was analyzed by using Multivariate Analysis of Variance (MANOVA) and obtained a significant difference between experimental and control class when considered jointly on the mathematics conceptual understanding and strategic competence (shown by Wilk’s Λ = 0.84). Further, by independent t-test is known that there was significant difference between two classes both on mathematical conceptual understanding and strategic competence. By this result is known that Rigorous Mathematical Thinking (RMT) had positive impact toward Mathematics conceptual understanding and strategic competence.

  10. Measure, a specific professional skill for teachers of Mathematics-Physics

    Directory of Open Access Journals (Sweden)

    Evelio Guillermo Pozo Velázquez

    2010-12-01

    Full Text Available This work aims at the validation of measuring skill as one of the bassic professi onal skill conceived for the formation of the Physics professor from the definitions given by A. Márquez(1987 and H. Fuentes(1994 in one of a first approximation, in order to make later, a validation of the conceptual and operational structure of this sk ill taking into consideration the definition of the concept of measurement given by the necessity of the social task in the formation to the first ́year student in the career Mathematics–Physics in the University of Pedagogical Science “Rafael María de Mendive” in Pinar del Río.

  11. Collaborative and Cooperative Learning in Malaysian Mathematics Education

    Science.gov (United States)

    Hossain, Md. Anowar; Tarmizi, Rohani Ahmad; Ayud, Ahmad Fauzi Mohd

    2012-01-01

    Collaborative and cooperative learning studies are well recognized in Malaysian mathematics education research. Cooperative learning is used to serve various ability students taking into consideration of their level of understanding, learning styles, sociological backgrounds that develop students' academic achievement and skills, and breeze the…

  12. Understanding the Program Effectiveness of Early Mathematics Interventions for Prekindergarten and Kindergarten Environments: A Meta-Analytic Review

    Science.gov (United States)

    Wang, Aubrey H.; Firmender, Janine M.; Power, Joshua R.; Byrnes, James P.

    2016-01-01

    Research Findings: The early childhood years are critical in developing early mathematics skills, but the opportunities one has to learn mathematics tend to be limited, preventing the development of significant mathematics learning. By conducting a meta-analysis of 29 experimental and quasi-experimental studies that have been published since 2000,…

  13. USING TASK LIKE PISA’S PROBLEM TO SUPPORT STUDENT’S CREATIVITY IN MATHEMATICS

    Directory of Open Access Journals (Sweden)

    Rita Novita

    2016-01-01

    Full Text Available Creativity is one of keys to success in the evolving global economy and also be a fundamental skill that is absolutely necessary in the 21st century. Also In mathematics, creativity or thinking creatively is important to be developed because creativity is an integral part of mathematics. However, limiting the use of creativity in the classroom reduces mathematics to a set of skills to master and rules to memorize. Doing so causes many children’s natural curiosity and enthusiasm for mathematics to disappear as they get older, creating a tremendous problem for mathematics educators who are trying to instil these very qualities. In order to investigate the increase in awareness of elementary school students’ creativity in solving mathematics’ problems by using task like PISA’s Question, a qualitative research emphasizing on holistic description was conducted. We used a formative evaluation type of development research as a mean to develop mathematical tasks like PISA’s question that have potential effect to support students’ creativity in mathematics. Ten elementary school students of grade 6 in Palembang were involved in this research. They judged the task given for them is very challenging and provokes their curiosity. The result showed that task like PISA’s question can encourage students to more creatively in mathematics.Key Words: PISA, Problem Solving, Creativity in Mathematics DOI: http://dx.doi.org/10.22342/jme.7.1.2815.31-42

  14. Older Siblings’ Contributions to Young Child’s Cognitive Skills

    OpenAIRE

    Dai, Xianhua; Heckman, James J.

    2013-01-01

    This work finds that older siblings as well as early parenting influence young children’s cognitive skills directly or indirectly, for example, Mathematics, and English. Our findings challenge a pervasive view in the economical literatures that early parenting play a dominant role in explaining child development. In economics, early environmental conditions are important to demonstrate the evolution of adolescent and adult cognitive skills (Knudsen, Heckman, Cameron, and Shonkoff, 2006; Cunha...

  15. Algorithmic Principles of Mathematical Programming

    NARCIS (Netherlands)

    Faigle, Ulrich; Kern, Walter; Still, Georg

    2002-01-01

    Algorithmic Principles of Mathematical Programming investigates the mathematical structures and principles underlying the design of efficient algorithms for optimization problems. Recent advances in algorithmic theory have shown that the traditionally separate areas of discrete optimization, linear

  16. Early language and executive skills predict variations in number and arithmetic skills in children at family-risk of dyslexia and typically developing controls

    Science.gov (United States)

    Moll, Kristina; Snowling, Margaret J.; Göbel, Silke M.; Hulme, Charles

    2015-01-01

    Two important foundations for learning are language and executive skills. Data from a longitudinal study tracking the development of 93 children at family-risk of dyslexia and 76 controls was used to investigate the influence of these skills on the development of arithmetic. A two-group longitudinal path model assessed the relationships between language and executive skills at 3–4 years, verbal number skills (counting and number knowledge) and phonological processing skills at 4–5 years, and written arithmetic in primary school. The same cognitive processes accounted for variability in arithmetic skills in both groups. Early language and executive skills predicted variations in preschool verbal number skills, which in turn, predicted arithmetic skills in school. In contrast, phonological awareness was not a predictor of later arithmetic skills. These results suggest that verbal and executive processes provide the foundation for verbal number skills, which in turn influence the development of formal arithmetic skills. Problems in early language development may explain the comorbidity between reading and mathematics disorder. PMID:26412946

  17. Lectures on Applications-Oriented Mathematics

    CERN Document Server

    Friedman, Bernard

    2011-01-01

    Meets the need for a program of short courses involving the essentials of a number of mathematical topics taken by physics and engineering students. Basically applications-oriented, the courses do include selected topics of abstract mathematics. While several courses can be used as practical appendices to conventional mathematics, others serve as introductions, providing motivation for self-study in areas of conceptual math.

  18. What Mathematical Competencies Are Needed for Success in College.

    Science.gov (United States)

    Garofalo, Joe

    1990-01-01

    Identifies requisite math skills for a microeconomics course, offering samples of supply curves, demand curves, equilibrium prices, elasticity, and complex graph problems. Recommends developmental mathematics competencies, including problem solving, reasoning, connections, communication, number and operation sense, algebra, relationships,…

  19. Desegregating undergraduate mathematics and biology--interdisciplinary instruction with emphasis on ongoing biomedical research.

    Science.gov (United States)

    Robeva, Raina

    2009-01-01

    The remarkable advances in the field of biology in the last decade, specifically in the areas of biochemistry, genetics, genomics, proteomics, and systems biology, have demonstrated how critically important mathematical models and methods are in addressing questions of vital importance for these disciplines. There is little doubt that the need for utilizing and developing mathematical methods for biology research will only grow in the future. The rapidly increasing demand for scientists with appropriate interdisciplinary skills and knowledge, however, is not being reflected in the way undergraduate mathematics and biology courses are structured and taught in most colleges and universities nationwide. While a number of institutions have stepped forward and addressed this need by creating and offering interdisciplinary courses at the juncture of mathematics and biology, there are still many others at which there is little, if any, interdisciplinary interaction between the curricula. This chapter describes an interdisciplinary course and a textbook in mathematical biology developed collaboratively by faculty from Sweet Briar College and the University of Virginia School of Medicine. The course and textbook are designed to provide a bridge between the mathematical and biological sciences at the lower undergraduate level. The course is developed for and is being taught in a liberal arts setting at Sweet Briar College, Virginia, but some of the advanced modules are used in a course at the University of Virginia for advanced undergraduate and beginning graduate students. The individual modules are relatively independent and can be used as stand-alone projects in conventional mathematics and biology courses. Except for the introductory material, the course and textbook topics are based on current biomedical research.

  20. Mentoring in mathematics education

    CERN Document Server

    Hyde, Rosalyn

    2013-01-01

    Designed to support both teachers and university-based tutors in mentoring pre-service and newly qualified mathematics teachers at both primary and secondary levels, Mentoring Mathematics Teachers offers straightforward practical advice that is based on practice, underpinned by research, and geared specifically towards this challenging subject area.Developed by members of The Association of Mathematics Education Teachers, the authors draw upon the most up-to-date research and theory to provide evidence-based practical guidance. Themes covered include: