Construction Industry Related Mathematics: Seventh Grade.
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…
Lein, Amy E.; Jitendra, Asha K.; Starosta, Kristin M.; Dupuis, Danielle N.; Hughes-Reid, Cheyenne L.; Star, Jon R.
2016-01-01
In this study, the authors assessed the contribution of engagement (on-task behavior) to the mathematics problem-solving performance of seventh-grade students after accounting for prior mathematics achievement. A subsample of seventh-grade students in four mathematics classrooms (one high-, two average-, and one low-achieving) from a larger…
Rezeki, S.; Setyawan, A. A.; Amelia, S.
2018-01-01
Mathematical understanding ability is a primary goal of Indonesian national education goals. However, various sources has shown that Indonesian students’ mathematical understanding ability is still relatively low. This study used quasi-experimental research design to examine the effectiveness of the application of Missouri Mathematics Project (MMP) on students’ mathematical understanding ability. The participants of the study were seventh grade students in Pekanbaru, Riau Province, Indonesia. They were selected purposively and represented as high, medium, and low-quality schools. The result of this study indicated that there was a significant effect of MMP on the overall students’ mathematical understanding ability and in all categories, except for low school level.
Lein, Amy E.; Jitendra, Asha K.; Starosta, Kristin M.; Dupuis, Danielle N.; Hughes-Reid, Cheyenne L.; Star, John R.
2016-01-01
In this study, the authors assessed the contribution of engagement (on-task behavior) to the mathematics problem-solving performance of seventh-grade students after accounting for prior mathematics achievement. A subsample of seventh-grade students in four mathematics classrooms (one high-, two average-, and one low-achieving) from a larger…
Jeanmarie-Gardner, Charmaine
2013-01-01
A quasi-experimental research study was conducted that investigated the academic impact of utilizing Marzano's summarizing and note taking strategies on mathematic achievement. A sample of seventh graders from a middle school located on Long Island's North Shore was tested to determine whether significant differences existed in mathematic test…
A Case Study of Positive Behavior Supports-Based Interventions in a Seventh-Grade Urban Classroom
Hollingshead, Aleksandra; Kroeger, Stephen D.; Altus, Jillian; Trytten, Joyce Brubaker
2016-01-01
Struggling with frequent off-task behavior, a teacher in a midwestern inner-city high school requested assistance in her social studies classroom. A study was designed to investigate if a combination of positive behavior supports-based interventions such as behavior-specific praise and reduced teacher reprimands might improve on-task behavior. A…
iPad Use in Seventh Grade Math: Parent and Student Perceptions
Corbett, Robin
2015-01-01
The purpose of this qualitative research study was to compare student and parental perceptions of mobile technology use, specifically iPads, in seventh grade math classrooms and at home. How students and parents perceive the use of iPads within the seventh grade math classroom and how students and parents perceive the influence of iPad use at home…
Soliman, Mamdouh M.; Hilal, Ahmed J.
2016-01-01
This study evaluates the effectiveness of Computer-Assisted Instruction (CAI) compared with traditional classroom instruction of mathematics of seventh graders in Kuwait's public schools. We aimed to compare students learning outcomes between two groups: the control group, taught traditionally without the use of computers, and the experimental…
Norman, Lashaunda Renea
This qualitative case study investigated the teaching strategies that improve science learning of African American students. This research study further sought the extent the identified teaching strategies that are used to improve African American science learning reflect culturally responsive teaching. Best teaching strategies and culturally responsive teaching have been researched, but there has been minimal research on the impact that both have on science learning, with an emphasis on the African American population. Consequently, the Black-White achievement gap in science persists. The findings revealed the following teaching strategies have a positive impact on African American science learning: (a) lecture-discussion, (b) notetaking, (c) reading strategies, (d) graphic organizers, (e) hands-on activities, (f) laboratory experiences, and (g) cooperative learning. Culturally responsive teaching strategies were evident in the seventh-grade science classrooms observed. Seven themes emerged from this research data: (1) The participating teachers based their research-based teaching strategies used in the classroom on all of the students' learning styles, abilities, attitudes towards science, and motivational levels about learning science, with no emphasis on the African American student population; (2) The participating teachers taught the state content standards simultaneously using the same instructional model daily, incorporating other content areas when possible; (3) The participating African American students believed their seventh-grade science teachers used a variety of teaching strategies to ensure science learning took place, that science learning was fun, and that science learning was engaging; (4) The participating African American students genuinely liked their teacher; (5) The participating African American students revealed high self-efficacy; (6) The African American student participants' parents value education and moved to Success Middle School
Directory of Open Access Journals (Sweden)
Fiatun Istiqomah
2017-08-01
Full Text Available The purpose of this study are: (1 to know the effectiveness of PQ4R learning model in improving the creative thinking skills of the learners; (2 to know the classifications of the learners based on the levels of creative thinking skills; and (3 to describe the misconception which hampers the creative thinking skills at low level in from the learning styles of the learners. The population in this study is the seventh grade students of SMP N 21 Semarang. The method in this study is mixed method research. Quantitative data analysis uses t-test, z-test, and normalized gain test. Analysis of qualitative data using data reduction stages, data presentation, and conclusions. The results show: (1 PQ4R learning model is effective in improving the creative thinking ability of the learners; (2 the classifications of the learners based on the levels of creative thinking ability which have variations the are many of the learners who are different in each level; and (3 misconception which hampers the creative thinking skills at low level with the learning styles: (a visual meets four misconception indicators, (b auditorial meets three misconception indicators, and (c kinesthetic meets six misconception indicators.
Piety, Philip John
With science education in the United States entering a period of greater accountability, this study investigated how student learning in science was assessed by educators within one state, asking what systemic assessment approaches existed and how the information from them was used. Conducted during the 20o6-2007 school year, this research developed and piloted a network-model case study design that included teachers, principals, administrators, and the state test development process, as well as several state-level professional associations. The data analyzed included observations, interviews, surveys, and both public and private documents. Some data were secondary. This design produced an empirical depiction of practice with a web of related cases. The network model expands on the hierarchical (nested) models often assumed in the growing literature on how information is used in educational contexts by showing multiple ways in which individuals are related through organizational structures. Seven case study teachers, each employing assessment methods largely unique and invisible to others in their schools, illustrate one set of assessment practices. The only alternative to classroom assessments that could be documented was the annual state accountability test. These two assessment species were neither tightly coupled nor distinct. Some teachers were partners in developing state test instruments, and in some cases the annual test could be seen as a school management resource. Boundary practices---activities where these two systems connected---were opportunities to identify challenges to policy implementation in science education. The challenges include standards, cognition, vocabulary, and classroom equipment. The boundary practices, along with the web of connections, provide the outlines of potential (and often unrealized) synergistic relationships. This model shows diverse indigenous practices and adaptations by actors responding to pressures of change and
Seventh Grade Students' Conceptions of Global Warming and Climate Change
Shepardson, Daniel P.; Niyogi, Dev; Choi, Soyoung; Charusombat, Umarporn
2009-01-01
The purpose of this study was to investigate seventh grade students' conceptions of global warming and climate change. The study was descriptive in nature and involved the collection of qualitative data from 91 seventh grade students from three different schools in the Midwest, USA. An open response and draw and explain assessment instrument was…
Mathematics difficulties & classroom leadership
DEFF Research Database (Denmark)
Schmidt, Maria Christina Secher
2016-01-01
This article investigates possible links between inclusion, students, for whom mathematics is extensively difficult, and classroom leadership through a case study on teaching strategies and student participation in four classrooms at two different primary schools in Denmark. Three sets of results...... are presented: 1) descriptions of the teachers’ classroom leadership to include all their students in the learning community, 2) the learning community produced by stated and practiced rules for teaching and learning behavior, 3) the classroom behavior of students who experience difficulties with mathematics....... The findings suggest that the teachers’ pedagogical choices and actions support an active learning environment for students in diverse learning needs, and that the teachers practise dimensions of inclusive classroom leadership that are known to be successful for teaching mathematics to all students. Despite...
Smith, Burleigh M.; Schumaker, Jean B.; Schaeffer, Janae; Sherman, James A.
1982-01-01
An experiment was conducted to evaluate procedures to improve classroom discussions in seventh-grade social studies classes. An increased number of students participated in discussions when rules were stated for discussions, students were praised for their contributions, the teacher restated or paraphrased students' contributions aloud or on the blackboard, the teacher planned an outline of discussion questions, student contributions to discussions were recorded and were used to determine par...
Seventh Grade Students' Mental Models of the Greenhouse Effect
Shepardson, Daniel P.; Choi, Soyoung; Niyogi, Dev; Charusombat, Umarporn
2011-01-01
This constructivist study investigates 225 student drawings and explanations from three different schools in the midwest in the US, to identify seventh grade students' mental models of the greenhouse effect. Five distinct mental models were derived from an inductive analysis of the content of the students' drawings and explanations: Model 1, a…
Seventh-Grade Social Studies versus Social Meliorism
Greiner, Jeff A.
2016-01-01
The Wake County Public School System (WCPSS), in the state of North Carolina, has gone through considerable recent effort to revise, support, and assess their seventh-grade social studies curriculum in an effort to serve three goals: comply with the Common Core State Standards (Common Core), comply with the North Carolina Essential Standards…
Making Information Visual: Seventh Grade Art Information and Visual Literacy
Shoemaker, Joel; Schau, Elizabeth; Ayers, Rachael
2008-01-01
Seventh grade students entering South East Junior High in Iowa City come from eight elementary feeder schools, as well as from schools around the world. Their information literacy skills and knowledge of reference sources vary, but since all seventh graders and new eighth graders are required to take one trimester of Visual Studies, all entering…
Doganca Kucuk, Zerrin; Saysel, Ali Kerem
2018-01-01
A systems-based classroom intervention on environmental education was designed for seventh grade students; the results were evaluated to see its impact on the development of systems thinking skills and standard science achievement and whether the systems approach is a more effective way to teach environmental issues that are dynamic and complex. A…
Fitness, fatness, and academic performance in seventh-grade elementary school students
2014-01-01
Background In addition to the benefits on physical and mental health, cardiorespiratory fitness has shown to have positive effects on cognition. This study aimed to investigate the relationship between cardiorespiratory fitness and body weight status on academic performance among seventh-grade students. Methods Participants included 1531 grade 7 students (787 male, 744 female), ranging in age from 12 to 14 years (Mage = 12.3 ± 0.60), from 3 different cohorts. Academic performance was measured using the marks students had, at the end of their academic year, in mathematics, language (Portuguese), foreign language (English), and sciences. To assess cardiorespiratory fitness the Progressive Aerobic Cardiovascular Endurance Run, from Fitnessgram, was used as the test battery. The relationship between academic achievement and the independent and combined association of cardiorespiratory fitness/weight status was analysed, using multinomial logistic regression. Results Cardiorespiratory fitness and weight status were independently related with academic achievement. Fit students, compared with unfit students had significantly higher odds for having high academic achievement (OR = 2.29, 95% CI: 1.48-3.55, p academic achievement (OR = 3.65, 95% CI: 1.82-7.34, p academic achievement in seventh-grade students independent of the different cohorts, providing further support that aerobically fit and normal weight students are more likely to have better performance at school regardless of the year that they were born. PMID:25001376
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Lütfi İncikabı
2015-04-01
Full Text Available The purpose of this study is to determine seventh grade students’ preferences among the procedural, conceptual and graphical questions in the subject of circles, to define their success levels in their preferences, and to compare students’ success levels in one question type with their performances in other question types. The methodology adopted during this research was case study. Based on criterion-based purposive sampling strategy, 98 middle school students were selected as the participants. Data were collected through an achievement test consisting of nine questions (three per question type. The results obtained from the study indicated that students mostly preferred graphical question types. Moreover, majority of students could not succeeded high levels in their preferred question types. In addition, the students performed better in graphical question types; however, the failure in procedural question types was remarkable. Keywords: Multiple representations, middle school students, mathematics education, circles
Teacher classroom practices and Mathematics performance in ...
African Journals Online (AJOL)
The Mathematics teacher questionnaire, administered as part of the Trends in International Mathematics and Science Study (TIMSS) 2011, comprised questions pertaining to the classroom practices of Teacher Clarity, Classroom Discussion, Feedback, Formative Assessment, Problem Solving and Metacognitive Strategies, ...
The Constructivist Mathematics Classroom
Jones, Karrie; Jones, Jennifer L.; Vermette, Paul J.
2010-01-01
By examining how people learn, the educational theories of Dewey, Piaget, Vygotsky and Bruner can be synthesized to give this set of core Constructivist principles. Principles of effective mathematics teaching: (1) allows learning that is "active" and "reflective". Students are required to transfer key concepts to new situations; (2) allows…
ORIGINAL ARTICLE An Assessment of Mathematics Classroom ...
African Journals Online (AJOL)
Bdu
ORIGINAL ARTICLE. An Assessment of Mathematics Classroom Teaching- ... the study was to assess whether the learning classroom environment was compliant with constructivism. ... of our education system. Applefield ... share control of the design, management, and evaluation ..... development of formative assessment.
Davis, Holly S.
This study examines the correlation between absence, cognitive skills index (CSI), and various achievement indicators such as the Indiana Statewide Testing for Educational Progress (ISTEP) test scores, discrepancies, and school-based English and mathematics tests for 64 seventh-grade students from one middle school. Scores for each of the subtests…
Adam Smith in the Mathematics Classroom
Lipsey, Sally I.
1975-01-01
The author describes a series of current economic ideas and situations which can be used in the mathematics classroom to illustrate the use of signed numbers, the coordinate system, univariate and multivariate functions, linear programing, and variation. (SD)
CBM Maze-Scores as Indicators of Reading Level and Growth for Seventh-Grade Students
Chung, Siuman; Espin, Christine A.; Stevenson, Claire E.
2018-01-01
The technical adequacy of CBM maze-scores as indicators of reading level and growth for seventh-grade secondary-school students was examined. Participants were 452 Dutch students who completed weekly maze measures over a period of 23 weeks. Criterion measures were school level, dyslexia status, scores and growth on a standardized reading test.…
Seventh Grade Social Studies. A Program in Sociology and American History.
Clancy, Patricia; And Others
GRADES OR AGES: Seventh grade. SUBJECT MATTER: Sociology and American history. ORGANIZATION AND PHYSICAL APPEARANCE: The guide covers five units: "Biological Basis of Human Behavior,""How We Become Human,""The Family and Other Socializing Institutions,""Man's Behavior in Groups and Crowds," and "Minority Group Problems." The presentation of the…
Patterns of Vaginal, Oral, and Anal Sexual Intercourse in an Urban Seventh-Grade Population
Markham, Christine M.; Peskin, Melissa Fleschler; Addy, Robert C.; Baumler, Elizabeth R.; Tortolero, Susan R.
2009-01-01
Background: This study examines the prevalence of vaginal, oral, and anal intercourse among a population of urban, public middle school students, the characteristics of early sexual initiators, and the sequence of sexual initiation. Such data are limited for early adolescents. Methods: A total of 1279 seventh-grade students (57.3% female, 43.6%…
An Analysis of Global Problems Issues in Sixth and Seventh Grade Science Textbooks.
Hamm, Mary; Adams, Dennis
The study examines the extent to which the global issues of population growth, world hunger, air quality and atmosphere, and water resources were treated in sixth and seventh grade science textbooks. Ten textbooks were examined by five raters to determine the amount of content presented by different textbooks on global issues, the number of pages…
Baker, Roger G.; Pappas, James P.
Three approaches to the problem of helping underachieving seventh grade boys improve their study habits are compared: (1) behavior modification; (2) group counseling; and (3) didactic instruction. A pre-post criteria format sought to measure change in terms of: (1) academic achievement as measured by grade point average; and (2) study habits and…
CBM maze-scores as indicators of reading level and growth for seventh-grade students
Chung, S.; Espin, C.A.; Stevenson, C.E.
The technical adequacy of CBM maze-scores as indicators of reading level and growth for seventh-grade secondary-school students was examined. Participants were 452 Dutch students who completed weekly maze measures over a period of 23 weeks. Criterion measures were school level, dyslexia status,
The Effect of Project Based Learning on Seventh Grade Students' Academic Achievement
Kizkapan, Oktay; Bektas, Oktay
2017-01-01
The purpose of this study is to investigate whether there is a significant effect of project based learning approach on seventh grade students' academic achievement in the structure and properties of matter. In the study, according to the characteristics of quantitative research methods, pretest-posttest control group quasi-experimental design was…
Physical and Social Contexts of Physical Activity Behaviors of Fifth and Seventh Grade Youth
Saunders, Ruth P.; Dowda, Marsha; Mciver, Kerry; McDonald, Samantha M.; Pate, Russell R.
2018-01-01
Background: The purpose of this study was to characterize the temporal, social, and physical contexts for physical activities commonly reported in a diverse cohort of 753 boys and girls from fifth to seventh grade. Methods: Data were obtained from a multilevel longitudinal study, the Transitions and Activity Changes in Kids. The Physical Activity…
Mathematical Gossip: Relevance and Context in the Mathematics Classroom
Callingham, Rosemary
2004-01-01
Using mathematical gossip in the classroom allows teachers to expand their students' horizons, and provide pathways to improvement of understanding. The expansion of a simple idea into another mathematical context can enrich a student's learning. In particular it may help to bridge the gap between purely procedural approaches and a conceptual…
Mathematical Observations: The Genesis of Mathematical Discovery in the Classroom
Beaugris, Louis M.
2013-01-01
In his "Proofs and Refutations," Lakatos identifies the "Primitive Conjecture" as the first stage in the pattern of mathematical discovery. In this article, I am interested in ways of reaching the "Primitive Conjecture" stage in an undergraduate classroom. I adapted Realistic Mathematics Education methods in an…
Using Maxima in the Mathematics Classroom
Fedriani, Eugenio M.; Moyano, Rafael
2011-01-01
Coming from the Macsyma system and adapted to the Common Lisp standard, Maxima can be regarded as a tool for a frequent use in the mathematics classroom. The main aim of this work is to show some possibilities of Maxima and its graphical interface through our experience as Mathematics teachers in Business degrees, although it can be easily spread…
Doganca Kucuk, Zerrin; Saysel, Ali Kerem
2017-03-01
A systems-based classroom intervention on environmental education was designed for seventh grade students; the results were evaluated to see its impact on the development of systems thinking skills and standard science achievement and whether the systems approach is a more effective way to teach environmental issues that are dynamic and complex. A quasi-experimental methodology was used to compare performances of the participants in various dimensions, including systems thinking skills, competence in dynamic environmental problem solving and success in science achievement tests. The same pre-, post- and delayed tests were used with both the comparison and experimental groups in the same public middle school in Istanbul. Classroom activities designed for the comparison group (N = 20) followed the directives of the Science and Technology Curriculum, while the experimental group (N = 22) covered the same subject matter through activities benefiting from systems tools and representations such as behaviour over time graphs, causal loop diagrams, stock-flow structures and hands-on dynamic modelling. After a one-month systems-based instruction, the experimental group demonstrated significantly better systems thinking and dynamic environmental problem solving skills. Achievement in dynamic problem solving was found to be relatively stable over time. However, standard science achievement did not improve at all. This paper focuses on the quantitative analysis of the results, the weaknesses of the curriculum and educational implications.
Mapping Mathematics in Classroom Discourse
Herbel-Eisenmann, Beth A.; Otten, Samuel
2011-01-01
This article offers a particular analytic method from systemic functional linguistics, "thematic analysis," which reveals the mathematical meaning potentials construed in discourse. Addressing concerns that discourse analysis is too often content-free, thematic analysis provides a way to represent semantic structures of mathematical content,…
PROFICIENT CLASSROOM MANAGEMENT THROUGH FOCUSED MATHEMATIC TEACHING
Directory of Open Access Journals (Sweden)
Marcus Samuelsson
2017-12-01
Full Text Available A not entirely unusual position among teachers is that they believe that they must first establish a peaceful classroom before they can begin to teach the subject. This research, shows how a proficient mathematics teacher teaches his subject and thereby creates a quiet and focused classroom and exerts effective leadership, just by teaching mathematics. The researchers observed a male mathematics teacher for almost half a year, i.e. one semester. The results of research present several patterns that the researchers saw during the observations of his teaching. The teacher showed an interest in each student’s mathematical thinking and expressed explicitly how students were expected to learn mathematics. He also directed students’ attention to mathematics and established a culture where all solutions were important in the teaching process. In the teaching process, he used multiple representations to motivate students and a lot of supportive expressions that made them feel that they were able to learn mathematics. He worked patiently to establish structures, and there was almost no disruptive behaviour. Students simply did not have time to interfere because they were so engaged in learning mathematics.
Scaffolding language in multilingual mathematics classrooms
Smit, J.
2013-01-01
Against the background of increasing linguistic diversity in classrooms worldwide, we aimed to provide scientifically grounded insight into how language-oriented mathematics education can be designed, enacted and evaluated. We addressed the following main research question: How can teachers in
Classroom Climate among Teacher Education Mathematics Students
Directory of Open Access Journals (Sweden)
Polemer M. Cuarto
2015-11-01
Full Text Available Classroom climate has gained prominence as recent studies revealed its potentials as an effective mediator in the various motivational factors as well as an antecedent of academic performance outcome of the students. This descriptive-correlational study determined the level of classroom climate dimensions among teacher education students specializing in Mathematics at Mindoro State College of Agriculture and Technology. Employing a self-structured questionnaire adapted to the WIHIC (What Is Happening In this Class questionnaire, the surveyed data were treated statistically using Pearson’s r. Result showed that there was high level of classroom climate among the respondents in their Mathematics classes in both teacher-directed and student-directed dimensions specifically in terms of equity, teacher support, cohesiveness, involvement, responsibility and task orientation. Also, it revealed that equity and teacher support were both positively related to the students-directed classroom climate dimensions. With these results, teachers are seen to be very significant determinants of the climate in the classroom. Relevant to this, the study recommended that faculty should develop effective measures to enhance classroom climate dimensions such as equity and teacher support to address the needs of diverse studentsdespite large size classes. Moreover, faculty should provide greater opportunitiesfor the students to achieve higher level of responsibility, involvement, cohesiveness, and task orientation as these could motivate them to develop positive learning attitude, perform to the best of their ability, as well as maximize their full potential in school.
Learning mathematics outside the classroom
DEFF Research Database (Denmark)
Mogensen, Arne
visits by researchers. The aim is to examine teaching forms and contents in outdoor teaching integrating mathematics, and this setting’s influence on pupils experienced learning, motivation, well-being and physical activity. Teachers’ management of outdoor education is also part of the study. Data were...
How restudy decisions affect overall comprehension for seventh-grade students.
Thiede, Keith W; Redford, Joshua S; Wiley, Jennifer; Griffin, Thomas D
2017-12-01
Self-regulated learning requires accurate monitoring and effective regulation of study. Little is known about how effectively younger readers regulate their study. We examined how decisions about which text to restudy affect overall comprehension for seventh-grade students. In addition to a Participant's Choice condition where students were allowed to pick texts for restudy on their own, we compared learning gains in two other conditions in which texts were selected for them. The Test-Based Restudy condition determined text selection using initial test performance - presenting the text with the lowest initial test performance for restudy, thereby circumventing potential problems associated with inaccurate monitoring and ineffective regulation. The Judgement-Based Restudy condition determined text selection using metacognitive judgements of comprehension - presenting the text with the lowest judgement of comprehension, thereby circumventing potential problems associated with ineffective regulation. Four hundred and eighty seventh-grade students participated. Students were randomly assigned to conditions in an experimental design. Gains in comprehension following restudy were larger for the Test-Based Restudy condition than for the Judgement-Based Restudy condition or the Participant's Choice condition. No differences in comprehension were seen between the Judgement-Based Restudy and Participant's Choice conditions. These results suggest seventh graders can systematically use their monitoring to make decisions about what to restudy. However, the results highlight how inaccurate monitoring is one reason why younger students fail to benefit from self-regulated study opportunities. © 2017 The British Psychological Society.
Exploring the Relationship between Mathematical Modelling and Classroom Discourse
Redmond, Trevor; Sheehy, Joanne; Brown, Raymond
2010-01-01
This paper explores the notion that the discourse of the mathematics classroom impacts on the practices that students engage when modelling mathematics. Using excerpts of a Year 12 student's report on modelling Newton's law of cooling, this paper argues that when students engage with the discourse of their mathematics classroom in a manner that…
Disagreements about rules in families with seventh-grade girls and boys.
Hill, J P; Holmbeck, G N
1987-06-01
Parental reports of disagreements and serious disagreements about rules were examined in 200 families with seventh-grade boys and girls. No gender differences were found: Mothers did not report more disagreements than fathers; no more disagreements were reported for girls than boys. Disagreements about personal habits and family obligations were more common than disagreements about peer relations. Disagreements and serious disagreements, in general, were significantly correlated (positively) with parental reports of child oppositionalism and (negatively) with parents' satisfaction with parenting the target child, although some dyadic differences were found. Children's reports of parental acceptance were negatively correlated with disagreements only for the father-daughter dyad. Support was found for some of Baumrind's ([1968] "Authoritarian vs. Authoritative Control,"Adolescence 3: 255-272) notions regarding relations between rule frequency, child participation in rule making, and disagreements about rules, especially for the father-daughter dyad.
A Follow-up Study of Two Methods of Teaching Mathematics: Traditional versus New Math
Walton, Gene A.; And Others
1977-01-01
When high school mathematics grades and test scores were analyzed, findings showed that high- and middle-ability students who had a modern mathematics course in the seventh grade received significantly higher grades in Algebra I, II, III, and Geometry than did students who had a traditional seventh grade mathematics course. (DT)
Bjørkvold, Tuva; Blikstad-Balas, Marte
2018-01-01
All scientists depend on both reading and writing to do their scientific work. It is of paramount importance to ensure that students have a relevant repertoire of practices they can employ when facing scientific content inside and outside the school context. The present study reports on students in seventh grade acting as researchers. Over an…
Kalaja, Sami; Jaakkola, Timo; Watt, Anthony; Liukkonen, Jarmo; Ommundsen, Yngvar
2009-01-01
The aim of the study was to investigate the relationships between motivational climate, perceived competence, self-determined motivation towards physical education (PE) and the fundamental movement skills of Finnish secondary school students. A sample of 370 seventh-grade PE students (girls n = 189; boys n = 181; mean age = 13.08; SD = 0.25)…
Demirci, Filiz; Özyürek, Cengiz
2017-01-01
The objective of this study is to research the effects of using concept cartoons in the "Solar System and Beyond" unit, which is included in seventh grade science lessons, on students' critical thinking skills. The study group consisted of 58 students, selected using an appropriate sampling method, who were students in a state secondary…
Dasdemir, Ikramettin
2016-01-01
The aim of this research is to determine the effect of the different teaching methods, on seventh-grade students' academic achievement and scientific attitudes. The research was carried out using quasi-experimental methods. The research sample consisted of 84 seventh grade students studying in three different classes. One of these classes an…
Garcia, Lucy; Nussbaum, Miguel; Preiss, David D.
2011-01-01
The main purpose of this study was to assess whether seventh-grade students use of information and communication technology (ICT) was related to performance on working memory tasks. In addition, the study tested whether the relationship between ICT use and performance on working memory tasks interacted with seventh-grade students' socioeconomic…
Mathematics in the K-8 Classroom and Library
McKinney, Sueanne; Hinton, KaaVonia
2010-01-01
Two experts on education offer a rich and diverse selection of children's literature and teaching strategies for the K-8 mathematics classroom. To date, a vast majority of classrooms continue to fall short in the implementation and direction of NCTM Principles and Standards for School Mathematics (PSSM), in part because most of these classrooms…
Raved, Lena; Yarden, Anat
2014-01-01
Developing systems thinking skills in school can provide useful tools to deal with a vast amount of medical and health information that may help learners in decision making in their future lives as citizen. Thus, there is a need to develop effective tools that will allow learners to analyze biological systems and organize their knowledge. Here, we examine junior high school students’ systems thinking skills in the context of the human circulatory system. A model was formulated for developing teaching and learning materials and for characterizing students’ systems thinking skills. Specifically, we asked whether seventh grade students, who studied about the human circulatory system, acquired systems thinking skills, and what are the characteristics of those skills? Concept maps were used to characterize students’ systems thinking components and examine possible changes in the students’ knowledge structure. These maps were composed by the students before and following the learning process. The study findings indicate a significant improvement in the students’ ability to recognize the system components and the processes that occur within the system, as well as the relationships between different levels of organization of the system, following the learning process. Thus, following learning students were able to organize the systems’ components and its processes within a framework of relationships, namely the students’ systems thinking skills were improved in the course of learning using the teaching and learning materials. PMID:25520948
Raved, Lena; Yarden, Anat
2014-01-01
Developing systems thinking skills in school can provide useful tools to deal with a vast amount of medical and health information that may help learners in decision making in their future lives as citizen. Thus, there is a need to develop effective tools that will allow learners to analyze biological systems and organize their knowledge. Here, we examine junior high school students' systems thinking skills in the context of the human circulatory system. A model was formulated for developing teaching and learning materials and for characterizing students' systems thinking skills. Specifically, we asked whether seventh grade students, who studied about the human circulatory system, acquired systems thinking skills, and what are the characteristics of those skills? Concept maps were used to characterize students' systems thinking components and examine possible changes in the students' knowledge structure. These maps were composed by the students before and following the learning process. The study findings indicate a significant improvement in the students' ability to recognize the system components and the processes that occur within the system, as well as the relationships between different levels of organization of the system, following the learning process. Thus, following learning students were able to organize the systems' components and its processes within a framework of relationships, namely the students' systems thinking skills were improved in the course of learning using the teaching and learning materials.
Directory of Open Access Journals (Sweden)
Vukičević Leposava
2011-01-01
Full Text Available Our previous research was aimed at psychological underpinnings of the attitude towards conspicuous consumption (displayed through use of designer clothes in high school and university students, aged 17 to 25. This study examined the relationship between the attitude towards designer clothes and social anxiety in 205 sixth and seventh grade primary school children, aged 12 to 13. Their attitude towards designer clothes was assessed by an abridged version of our standard questionnaire (CC - 28. Social anxiety was evaluated by a psychometric scale SA - 34 that was modeled after the social anxiety scale SA - 32 (Tovilović, 2004 in order to comply with our respondents' age and vocabulary. The data indicated that social anxiety at age 12 -13 is primarily manifested as shyness and the importance placed on the impression that one makes on his/her social environment. Both factors were positively correlated with the positive attitude towards designer clothes indicating that among 12 to 13 year old Serbian children wearing designer clothes enhances personal esteem and attractiveness in the eyes of other group members. At this age, the attitude towards designer clothes can be, at least partially, explained by a belief that conspicuous consumption contributes to increased social acceptance and the feelings of personal respect and safety.
Teachers' Perception of Social Justice in Mathematics Classrooms
Panthi, Ram Krishna; Luitel, Bal Chandra; Belbase, Shashidhar
2017-01-01
The purpose of this study was to explore mathematics teachers' perception of social justice in mathematics classrooms. We applied interpretive qualitative method for data collection, analysis, and interpretation through iterative process. We administered in-depth semi-structured interviews to capture the perceptions of three mathematics teachers…
The Mathematics of Medical Imaging in the Classroom.
Funkhouser, Charles P.; Jafari, Farhad; Eubank, William B.
2002-01-01
Presents an integrated exposition of aspects of secondary school mathematics and a medical science specialty. Reviews clinical medical practice and theoretical and empirical literature in mathematics education and radiology to develop and pilot model integrative classroom topics and activities. Suggests mathematical applications in numeration and…
EFFECTIVENESS OF FLIPPED CLASSROOM IN MATHEMATICS TEACHING
Dr. N. Ramakrishnan; Mrs. J. Johnsi Priya
2016-01-01
Flipped Classroom is an instructional strategy and a type of blended learning that reverses the traditional learning environment by delivering instructional content, often online, outside of the classroom. It moves activities, including those that may have traditionally been considered homework, into the classroom. In a flipped classroom, students watch online lectures, collaborate in online discussions, or carry out research at home and engage in concepts in the classroom with the guidance o...
Directory of Open Access Journals (Sweden)
Mardiana
2016-04-01
Full Text Available This research aimed to develop Signs and Songs Materials based on 2013 curriculum for the Seventh Grade Student at MTsN. BalangBalang, Gowa. It was Research and Development (R&D applied ADDIE model standing for Analysis, Design, Develop, Implement, and Evaluate. The procedures were; 1 analyzing materials needed by students; 2designing the blueprint; 3 developing the materials through the syllabus of 2013 Curriculum; 4 implementing the product (try-out product; and 5 evaluating the product. The product was tried out to the seventh grade students at MTsN Balang-balang. Type of data obtained in this study was qualitative. The instruments used in this study were questionnaire and rubrics for teacher and expert. Then, the teacher and expert were involved in order to validate the product. They validated three systematic aspects of the product, namely; the organization of the Materials, English Teaching strategies or method, and the content of the materials. Finally, based on the teacher and expert judgment as well as try-out design result, it was found that the developed materials were applicable to be taught for the Seventh Grade of Junior High School as additional learning and teaching materials which help both students and teachers in learning process based on 2013 Curriculum.
Understanding Mathematics Classroom Instruction Through Students and Teachers
Schenke, Katerina
2015-01-01
High quality instruction is necessary for students of all ages to develop a deep understanding of mathematics. Value-added models, a common approach used to describe teachers and classroom practices, are defined by the student standardized achievement gains teachers elicit. They may, however, fail to account for the complexity of mathematics instruction as it actually occurs in the classroom. To truly understand both a teacher’s impact on his/her students and how best to improve student learn...
Using a Virtual Classroom to Teach Online Mathematics
Lu, Yun
2011-01-01
The purpose of this study was to share the author's experience of using the virtual classroom when teaching online mathematics course. Various softwares including MyMathLab and Wimba are introduced and the teaching methods and tips are provided and analyzed. Results show that the use of the virtual classroom enhance the communication in the online…
Student Engagement and Classroom Variables in Improving Mathematics Achievement
Park, So-Young
2005-01-01
The study explored how much student engagement and classroom variables predicted student achievement in mathematics. Since students were nested within a classroom, hierarchical linear modeling (HLM) was employed for the analysis. The results indicated that student engagement had positive effects on student academic growth per month in math after…
APL programs for the mathematics classroom
Thomson, Norman D
1989-01-01
The idea for this book grew out of proposals at the APL86 con ference in Manchester which led to the initiation of the I-APL (International APL) project, and through it to the availability of an interpreter which would bring the advantages of APL within the means of vast numbers of school children and their teachers. The motivation is that once school teachers have glimpsed the possibilities, there will be a place for an "ideas" book of short programs which will enable useful algorithms to be brought rapidly into classroom use, and perhaps even to be written and developed in front of the class. A scan of the contents will show how the conciseness of APL makes it possible to address a huge range of topics in a small number of pages. There is naturally a degree of idiosyncrasy in the choice of topics - the selection I have made reflects algo rithms which have either proved useful in real work, or which have caught my imagination as candidates for demonstrating the value of APL as a mathematical notation. Wh...
Gestures as Semiotic Resources in the Mathematics Classroom
Arzarello, Ferdinando; Paola, Domingo; Robutti, Ornella; Sabena, Cristina
2009-01-01
In this paper, we consider gestures as part of the resources activated in the mathematics classroom: speech, inscriptions, artifacts, etc. As such, gestures are seen as one of the semiotic tools used by students and teacher in mathematics teaching-learning. To analyze them, we introduce a suitable model, the "semiotic bundle." It allows focusing…
Establishing Mathematics for Teaching within Classroom Interactions in Teacher Education
Ryve, Andreas; Nilsson, Per; Mason, John
2012-01-01
Teacher educators' processes of establishing "mathematics for teaching" in teacher education programs have been recognized as an important area for further research. In this study, we examine how two teacher educators establish and make explicit features of mathematics for teaching within classroom interactions. The study shows how the…
Enhancing Equity in the Classroom by Teaching for Mathematical Creativity
Luria, Sarah R.; Sriraman, Bharath; Kaufman, James C.
2017-01-01
Equity is an important element of educational discourses pertaining to mathematics and science education. Creativity is an aspect of the classroom that is often ignored due to curricular constraints and the burden of testing. However mathematics offers avenues to infuse the regular curricula with activities that are thought provoking and require…
An Integrated Approach to Mathematical Modeling: A Classroom Study.
Doerr, Helen M.
Modeling, simulation, and discrete mathematics have all been identified by professional mathematics education organizations as important areas for secondary school study. This classroom study focused on the components and tools for modeling and how students use these tools to construct their understanding of contextual problems in the content area…
Explorations into Pedagogy within Mathematics Classrooms: Insights from Contemporary Inquiries
Walshaw, Margaret
2013-01-01
Pedagogy within mathematics classrooms is of keen interest in any educational discussion. On a wider scale, pedagogical practice that produces desirable outcomes is considered a major instrument for achieving national objectives. Circumstance and setting may vary, but the question relating to how mathematics teachers construct their practice is as…
The Object Metaphor and Synecdoche in Mathematics Classroom Discourse
Font, Vicenc; Godino, Juan D.; Planas, Nuria; Acevedo, Jorge I.
2010-01-01
This article describes aspects of classroom discourse, illustrated through vignettes, that reveal the complex relationship between the forms in which mathematical objects exist and their ostensive representations. We illustrate various aspects of the process through which students come to consider the reality of mathematical objects that are…
Motivational Classroom Climate for Learning Mathematics: A Reversal Theory Perspective
Lewis, Gareth
2015-01-01
In this article, a case is made that affect is central in determining students' experience of learning or not learning mathematics. I show how reversal theory (Apter, 2001), and particularly its taxonomy of motivations and emotions, provides a basis for a thick description of students' experiences of learning in a mathematics classroom. Using data…
Roberts, Patrice Helen
This research was designed to determine the relationships among students' achievement scores on grade-level science content, on science content that was three years above-grade level, on attitudes toward instructional approaches, and learning-styles perceptual preferences when instructional approaches were multisensory versus traditional. The dependent variables for this investigation were scores on achievement posttests and scores on the attitude survey. The independent variables were the instructional strategy and students' perceptual preferences. The sample consisted of 74 educationally oriented seventh-grade students. The Learning Styles Inventory (LSI) (Dunn, Dunn, & Price, 1990) was administered to determine perceptual preferences. The control group was taught seventh-grade and tenth-grade science units using a traditional approach and the experimental group was instructed on the same units using multisensory instructional resources. The Semantic Differential Scale (SDS) (Pizzo, 1981) was administered to reveal attitudinal differences. The traditional unit included oral reading from the textbook, completing outlines, labeling diagrams, and correcting the outlines and diagrams as a class. The multisensory unit included five instructional stations established in different sections of the classroom to allow students to learn by: (a) manipulating Flip Chutes, (b) using Electroboards, (c) assembling Task Cards, (d) playing a kinesthetic Floor Game, and (e) reading an individual Programmed Learning Sequence. Audio tapes and scripts were provided at each location. Students circulated in groups of four from station to station. The data subjected to statistical analyses supported the use of a multisensory, rather than a traditional approach, for teaching science content that is above-grade level. T-tests revealed a positive and significant impact on achievement scores (p < 0.0007). No significance was detected on grade-level achievement nor on the perceptual
Mathematics and Science Learning Opportunities in Preschool Classrooms
Piasta, Shayne B.; Pelatti, Christina Yeager; Miller, Heather Lynnine
2014-01-01
Research findings The present study observed and coded instruction in 65 preschool classrooms to examine (a) overall amounts and (b) types of mathematics and science learning opportunities experienced by preschool children as well as (c) the extent to which these opportunities were associated with classroom and program characteristics. Results indicated that children were afforded an average of 24 and 26 minutes of mathematics and science learning opportunities, respectively, corresponding to spending approximately 25% of total instructional time in each domain. Considerable variability existed, however, in the amounts and types of mathematics and science opportunities provided to children in their classrooms; to some extent, this variability was associated with teachers’ years of experience, teachers’ levels of education, and the socioeconomic status of children served in the program. Practice/policy Although results suggest greater integration of mathematics and science in preschool classrooms than previously established, there was considerable diversity in the amounts and types of learning opportunities provided in preschool classrooms. Affording mathematics and science experiences to all preschool children, as outlined in professional and state standards, may require additional professional development aimed at increasing preschool teachers’ understanding and implementation of learning opportunities in these two domains in their classrooms. PMID:25489205
Dialogue in mathematics classrooms: Beyond question-and- answer methods
Directory of Open Access Journals (Sweden)
Karin Brodie
2007-10-01
Full Text Available This paper explores different kinds of interaction observed in South African mathematics classrooms in order to unpack the notion of participation in mathematics learning. It argues that conventional question-and-answer methods do not promote the kind of interaction that the new South African curriculum calls for. It presents more appropriate kinds of interactions, where teachers maintain high task demands, respond to genuine learner questions and support conversations among learners. The paper argues that combinations of different kinds of interaction are most likely to support learner participation and mathematical thinking in classrooms.
Math in plain english literacy strategies for the mathematics classroom
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
Teacher classroom practices and Mathematics performance in ...
African Journals Online (AJOL)
Education and Skills Development, Human Sciences Research Council, Pretoria, South Africa ... Solving and Metacognitive Strategies, and Collaboration. ... Close monitoring, adequate pacing and classroom management, as well as clarity of ...
The discursive production of classroom mathematics
Smith, Kim; Hodson, Elaine; Brown, Tony
2013-09-01
School mathematics is a function of its discursive environment where the language being used formats mathematical activity. The paper explores this theme through an extended example in which the conduct of mathematical teaching and learning is restricted by regulative educational policies. It considers how mathematics is discursively produced by student teachers within an employment-based model of teacher education in England where there is a low university input. It is argued that teacher reflections on mathematical learning and teaching within the course are patterned discursively in line with formal curriculum framings, assessment requirements and the local demands of their placement school. Both teachers and students are subject to regulative discourses that shape their actions and as a consequence this regulation influences the forms of mathematical activity that can take place. It is shown how university sessions can provide a limited critical platform from which to interrogate these restrictions and renegotiate them.
English learners in the mathematics classroom
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.
Content Area Literacy in the Mathematics Classroom
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…
Note-Taking in a Mathematics Classroom
Hoong, Leong Yew; Guan, Tay Eng; Seng, Quek Khiok; Fwe, Yap Sook; Luen, Tong Cherng; Toh, Wei Yeng Karen; Chia, Alexander; Teck, Ong Yao
2014-01-01
The authors are a team of teachers and teacher educators who are deeply interested in helping mathematically-challenged students improve in their learning of mathematics. In Singapore, depending on their performance at the end of a nationwide Year 6 examination, students are channelled into three ability streams for Years 7 to 10: Express (60%),…
Dimitriadis, Christos
2016-01-01
This article presents findings from a case study of an in-classroom program based on ability grouping for Year 2 (ages 6-7) primary (elementary) children identified as high ability in mathematics. The study examined the role of classroom setting, classroom environment, and teacher's approach in realizing and developing mathematical promise. The…
Construction of mathematical knowledge using graphic calculators (CAS) in the mathematics classroom
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.
Appraising Lexical Bundles in Mathematics Classroom Discourse: Obligation and Choice
Herbel-Eisenmann, Beth; Wagner, David
2010-01-01
Working from a large corpus of transcripts from secondary mathematics classrooms, we identify patterns of speech that encode interpersonal positioning. We extend our analysis from a previous article (Herbel-Eisenmann, Wagner & Cortes, Educ Stud Math, 2010, in press), in which we introduced a concept from corpus linguistics--a "lexical bundle,"…
Comparisons of Mathematics Intervention Effects in Resource and Inclusive Classrooms
Bottge, Brian A.; Cohen, Allan S.; Choi, Hye-Jeong
2018-01-01
In this article, we describe results of a reanalysis of two randomized studies that tested the effects of enhanced anchored instruction (EAI) on the fractions computation performance of students in special education resource rooms and inclusive mathematics classrooms. Latent class analysis and latent transition analysis classified students…
Investigating Classroom Teaching Competencies of Pre Service Elementary Mathematics Teachers
Gokalp, Murat
2016-01-01
The study has sought answers to two major questions: What is the current situation in Elementary Mathematics Education programs at Faculty of Education in terms of classroom teaching competencies? To what extent do pre service teachers acquire these competencies? The research was conducted on 202 senior pre service teachers studying at the…
Classroom Proven Motivational Mathematics Games, Monograph No. 1.
Michigan Council of Teachers of Mathematics.
This collection includes 50 mathematical games and puzzles for classroom use at all grade levels. Also included is a wide variety of activities with cubes, flash cards, graphs, dots, number patterns, geometric shapes, cross-number puzzles, and magic squares. (MM)
Improving Instruction in the Mathematics Methods Classroom through Action Research
Mostofo, Jameel; Zambo, Ron
2015-01-01
There is a continuing emphasis in the United States on improving students' mathematical abilities, and one approach is to better prepare teachers. To investigate the potential usefulness of Lesson Study to better prepare teachers, one author set out to conduct action research on his classroom practice. Specifically, he sought to determine whether…
Directory of Open Access Journals (Sweden)
Phoorin Thaengnoi
2017-06-01
Full Text Available The purposes of this research were: 1 to develop scientific problem-solving abilities test based on scientific knowledge about atmosphere and weather for seventh grade students and 2 to study the scientific problem-solving abilities of seventh grade students. The samples used in this study were 47 students who were studying in seventh grade in academic year 2015 of a school in Chai Nat province, Thailand. Purposive sampling was applied for identifying the samples. The research instrument of this study was the scientific problem-solving abilities test developed by the researcher. The research data was analyzed by comparing students’ scores with the criteria and considering students’ answers in each element of scientific problem-solving abilities. The results of the study were as follows: The scientific problem-solving abilities test composed of 2 parts. The first part was multiple-choice questions which was composed of 4 situations, a total of 20 questions. The Index of Item Objective Congruence of this part was varied in the range between 0.67 – 1.00. The difficulty and the discrimination level were in the range between 0.33 – 0.63 and 0.27 – 0.67, respectively. The reliability levels of this part was equal to 0.81. The second part of the test was subjective questions which composed of 2 situations, a total of 10 questions. The Index of Item Objective Congruence of this part was varied in the range between 0.67 – 1.00. The reliability level of this part was equal to 0.83. Besides, all questions in the test were covered all elements of scientific problem-solving abilities ; 1 identifying the problem 2 making the hypothesis 3 collecting data and knowledge to solve the problem 4 identifying problem-solving method and 5 predicting the characteristics of the results. The problem-solving abilities of the students revealed that 40.43% of students (n=19 were in a moderate level and 59.57% of students (n=28 were in a low level with the
Realizing rigor in the mathematics classroom
Hull, Ted H (Henry); Balka, Don S
2014-01-01
Rigor put within reach! Rigor: The Common Core has made it policy-and this first-of-its-kind guide takes math teachers and leaders through the process of making it reality. Using the Proficiency Matrix as a framework, the authors offer proven strategies and practical tools for successful implementation of the CCSS mathematical practices-with rigor as a central objective. You'll learn how to Define rigor in the context of each mathematical practice Identify and overcome potential issues, including differentiating instruction and using data
Active Learning Strategies for the Mathematics Classroom
Kerrigan, John
2018-01-01
Active learning involves students engaging with course content beyond lecture: through writing, applets, simulations, games, and more (Prince, 2004). As mathematics is often viewed as a subject area that is taught using more traditional methods (Goldsmith & Mark, 1999), there are actually many simple ways to make undergraduate mathematics…
Beyond the apparent banality of the mathematics classroom
Laborde, Colette; Sierpinska, Anna
2005-01-01
The book presents nine research works within the chosen theme and focus in a coherent theoretical perspective. The other two are commentary papers offering a reflection on studies of classroom situations from the point of view of other theoretical viewpointsFor the time being, only a small number of publications on this topic (and with this approach isare available in English. Taking classroom situation and teacher's work as central often gives rise to long term studies. A book offering results coming from such studies could be valuable for the community of researchers and mathematics educators.
Thompson, Carla J.; Davis, Sandra B.
2014-06-01
The use of formal observation in primary mathematics classrooms is supported in the literature as a viable method of determining effective teaching strategies and appropriate tasks for inclusion in the early years of mathematics learning. The twofold aim of this study was to (a) investigate predictive relationships between primary mathematics classroom observational data and student achievement data, and (b) to examine the impact of providing periodic classroom observational data feedback to teachers using a Relational-Feedback-Intervention (RFI) Database Model. This observational research effort focused on an empirical examination of student engagement levels in time spent on specific learning activities observed in primary mathematics classrooms as predictors of student competency outcomes in mathematics. Data were collected from more than 2,000 primary classroom observations in 17 primary schools during 2009-2011 and from standardised end-of-year tests for mathematics achievement. Results revealed predictive relationships among several types of teaching and learning tasks with student achievement. Specifically, the use of mathematics concepts, technology and hands-on materials in primary mathematics classrooms was found to produce substantive predictors of increased student mathematics achievement. Additional findings supported the use of periodic classroom observation data reporting as a positive influence on teachers' decisions in determining instructional tasks for inclusion in primary mathematics classrooms. Study results indicate classroom observational research involving a RFI Database Model is a productive tool for improving teaching and learning in primary mathematics classrooms.
Solar thermal energy as a topic in secondary mathematics classrooms
Energy Technology Data Exchange (ETDEWEB)
Brinkmann, A.; Brinkmann, K. [EnviPro Environmental Process Engineering Prof. Dr. Klaus Brinkmann, Iserlohn (Germany)
2004-07-01
One of the most effective methods to achieve a sustainable change of our momentary existing power supply system to a system mainly based on renewable energy conversion is the education of our children. For this purpose the compulsory school subject mathematics appears to be suitable. In order to promote renewable energy issues in mathematics classrooms, the authors have developed a special didactical concept to open this field for students, as well as for their teachers. The aim of this paper is to present firstly an overview of our concept and secondly examples of problems to the special topic of solar thermal energy, developed on the basis of our concept. (orig.)
Güven, N. Dilsad; Dede, Yüksel
2017-01-01
Each classroom has its own microculture with its own norms that belong to this microculture. It is these norms that characterize every kind of activity and discussion in the classroom. What makes a mathematics classroom different from any other classroom is the nature of norms, rather than their existence or absence. This study aims to identify…
Irwin, Robert P.
The premise, that cigarette smoking is hazardous to health, is the basis of this study. The purpose of the study was to cause a shift in behavior from the "presmoker" or "smoking experimenter" toward the "nonsmoker" rather than the smoker. The general concept, the cigarette smoking habit is a health hazard of sufficient importance for youth to…
Classroom Assessment in Malawi: Teachersâ Perceptions and Practices in Mathematics
Susuwele-Banda, William John
2005-01-01
This study investigated teachersâ perceptions of classroom assessment in mathematics and their current classroom assessments practices. Specifically, the study sought to gain an understanding of the extent to which teachers use different classroom assessment methods and tools to understand and to support both the learning and teaching processes. The following three questions guided the study: 1) How do primary school teachers perceive classroom assessment in mathematics? 2) What kinds of a...
Dosanjh, Navdeep Kaur
2011-12-01
There is great concern over students' poor science achievement in the United States. Due to the lack of science achievement, students are not pursing science related careers resulting in an increase in outsourcing to other countries. Learning strategies such as concept mapping may ameliorate this situation by providing students with tools that encourage meaningful learning. The purpose of this quasi-experimental study was to measure the effects of three concept mapping learning strategies (concept identifying, proposition identifying, student generated) on urban middle school students' understanding of the circulatory system. Three intact classes of seventh-grade students were assigned to one of the three concept mapping strategies. The students were given a pretest on the circulatory system then learned and used their respective concept mapping strategies while learning about the circulatory system. At the conclusion of the study, students' science achievement was measured by performance on an achievement test and rubric scores of their respective concept identifying, proposition identifying, and student generated concept maps. The results of the study suggest that all three of the concept mapping strategies are effective in increasing students' science achievement. Additionally, the moderate significant correlations between the posttest and concept map scores of the current study established that concept maps are a useful measure of student knowledge. Lastly, the results of the current study also suggest that the concept identifying mapping strategy may be a useful scaffold in instructing students how to develop student generated concept maps.
Makar, Katie; Fielding-Wells, Jill
2018-03-01
The 3-year study described in this paper aims to create new knowledge about inquiry norms in primary mathematics classrooms. Mathematical inquiry addresses complex problems that contain ambiguities, yet classroom environments often do not adopt norms that promote curiosity, risk-taking and negotiation needed to productively engage with complex problems. Little is known about how teachers and students initiate, develop and maintain norms of mathematical inquiry in primary classrooms. The research question guiding this study is, "How do classroom norms develop that facilitate student learning in primary classrooms which practice mathematical inquiry?" The project will (1) analyse a video archive of inquiry lessons to identify signature practices that enhance productive classroom norms of mathematical inquiry and facilitate learning, (2) engage expert inquiry teachers to collaborate to identify and design strategies for assisting teachers to develop and sustain norms over time that are conducive to mathematical inquiry and (3) support and study teachers new to mathematical inquiry adopting these practices in their classrooms. Anticipated outcomes include identification and illustration of classroom norms of mathematical inquiry, signature practices linked to these norms and case studies of primary teachers' progressive development of classroom norms of mathematical inquiry and how they facilitate learning.
Supporting students' strategic competence: a case of a sixth-grade mathematics classroom
Özdemir, İ. Elif Yetkin; Pape, Stephen J.
2012-06-01
Mathematics education research has documented several classroom practices that might influence student self-regulation. We know little, however, about the ways these classroom practices could be structured in real classroom settings. In this exploratory case study, we purposefully selected a sixth-grade mathematics teacher who had participated in a professional development program focussed on NCTM standards and SRL in the mathematics classroom for extensive classroom observation. The purpose was to explore how and to what extend she structured classroom practices to support strategic competence in her students. Four features of classroom practices were found as evidence for how strategic competence was potentially supported in this classroom: (a) allowing autonomy and shared responsibility during the early stages of learning, (b) focusing on student understanding, (c) creating contexts for students to learn about strategic learning and to exercise strategic behaviour, and (d) helping students to personalise strategies by recognising their ideas and strategic behaviours.
A test of the effect of advance organizers and reading ability on seventh-grade science achievement
Underhill, Patricia Annette
The use of advance organizers was first introduced by Ausubel in his learning theory of meaningful learning. Subsequent research focused on the efficacy of advance organizers. Although, earlier research produced inconclusive results, more recent research suggests advance organizers do facilitate recall. However, the bulk of the research focused on older subjects (students in high school and college and adults). Prior research did not consider that a subject's reading ability may affect the effectiveness of an advance organizer. The purposes of this study were to investigate whether (1) an advance organizer facilitates both immediate and delayed recall, (2) the reading ability of students and the type of pre-instructional material they receive effect recall, and (3) reading ability has an effect on recall with younger students. Seventy-five seventh-grade students were divided into three groups. One group received a written organizer, one group received a graphic organizer, and one group received an introductory passage before reading a learning passage. After completing the reading passage, all subjects received an immediate posttest. Fourteen days later, subjects received the same posttest incorporated in an end-of-the-chapter test. Results of the study indicate the following: (1) no significant difference in immediate and delayed recall of learning material between students who received a written organizer, a graphic organizer, or an introductory passage, (2) there was a main effect for time of testing and a main effect for reading ability, and (3) there was not an interaction between reading ability and the type of pre-instructional material. These findings did not support previous research.
Directory of Open Access Journals (Sweden)
Wajeeh Daher
2012-12-01
Full Text Available This article studies student teachers’ perceptions of the pedagogic and didactic aspects of teaching and learning mathematics in a democratic classroom. It is concerned primarily with issues of democracy in the mathematics classroom, specifically freedom, equality and dialogue. The research was conducted in two mathematics teacher education classes, where students were in their third year of study to major in mathematics. To find these students’ perceptions of democracy in the mathematics classroom the first two stages of the constant comparison method were followed to arrive at categories of democratic and undemocratic acts. The participants in the research emphasised that instructors should refrain from giving some students more time or opportunities to express themselves or act in the mathematics classroom than other students, because this would make them feel unequal and possibly make them unwilling to participate further in the mathematics classroom. The participants also emphasised that instructors should not exert their power to stop the flow of students’ actions in the mathematics classroom, because this would trouble them and make them lose control of their actions. Further, the participants mentioned that instructors would do better to connect to students’ ways of doing mathematics, especially of defining mathematical terms, so that students appreciate the correct ways of doing mathematics and defining its terms.
Pre-Service Secondary Science and Mathematics Teachers' Classroom Management Styles in Turkey
Yilmaz, Kursad
2009-01-01
The aim of this study is to determine Pre-service secondary science and mathematics teachers' classroom management styles in Turkey. In addition, differences in pre-service secondary science and mathematics teachers' classroom management styles by gender, and field of study were examined. In the study, the survey model was employed. The research…
Teacher's scaffolding over the year to develop norms of mathematical inquiry in a primary classroom
Makar, Katie; Bakker, A.; Ben-Zvi, Dani
2015-01-01
Developing mathematical inquiry practices requires that teachers are explicit about classroom norms that support these practices. In this study, we asked: How can a teacher scaffold the development of norms and practices in mathematical inquiry over time? Analysis of classroom video over a year
Xenofontos, Constantinos
2015-01-01
Research in diverse mathematics classrooms suggests that pupils' learning is influenced by both linguistic and cultural factors. In recent years, the demographics of Cypriot (mathematics) classrooms have become very diverse. In 2003, the Ministry of Education and Culture introduced the Zones of Educational Priorities, a UNESCO strategy for…
Opolot-Okurut, Charles
2010-01-01
This article reports a study of secondary students' perceptions of mathematics classroom learning environment and their associations with their motivation towards mathematics. A sample of 81 students (19 male and 62 female) in two schools were used. Student perceptions of the classroom environment were assessed using a modified What Is Happening…
Arends, Fabian; Winnaar, Lolita; Mosimege, Mogege
2017-01-01
Teachers play an important role in the provision of quality education. The variety of classroom practices they use in interacting with learners play a critical role in the understanding of mathematical concepts and overall performance in Mathematics. Following the work done by Hattie (2009, 2012) in relation to classroom practices this study…
Evaluation of Mathematical Game Design Skills of Pre-Service Classroom Teachers
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…
Reinholz, Daniel L.; Shah, Niral
2018-01-01
Equity in mathematics classroom discourse is a pressing concern, but analyzing issues of equity using observational tools remains a challenge. In this article, we propose equity analytics as a quantitative approach to analyzing aspects of equity and inequity in classrooms. We introduce a classroom observation tool that focuses on relatively…
Student and Teacher Interventions: A Framework for Analysing Mathematical Discourse in the Classroom
Drageset, Ove Gunnar
2015-01-01
Mathematical discourse in the classroom has been conceptualised in several ways, from relatively general patterns such as initiation-response-evaluation (Cazden in "Classroom discourse: the language of teaching and learning," Heinemann, London, 1988; Mehan in "Learning lessons: social organization in the classroom." Cambridge,…
Hidden Dimensions in the So-Called Reality of a Mathematics Classroom.
Bauersfeld, Heinrich
1980-01-01
Teaching and learning mathematics in classrooms is interpreted as human interaction in an institutionalized setting. Using theories and categories from different disciplines, a classroom episode is reanalyzed. Four hidden dimensions in the classroom process and thus deficient areas of research are identified. Consequences for teacher training are…
Clickers and Classroom Voting in a Transition to Advanced Mathematics Course
Lockard, Shannon R.; Metcalf, Rebecca C.
2015-01-01
Clickers and classroom voting are used across a number of disciplines in a variety of institutions. There are several papers that describe the use of clickers in mathematics classrooms such as precalculus, calculus, statistics, and even differential equations. This paper describes a method of incorporating clickers and classroom voting in a…
Ottmar, Erin R.; Rimm-Kaufman, Sara E.; Larsen, Ross A.; Berry, Robert Q.
2015-01-01
This study investigates the effectiveness of the Responsive Classroom (RC) approach, a social and emotional learning intervention, on changing the relations between mathematics teacher and classroom inputs (mathematical knowledge for teaching [MKT] and standards-based mathematics teaching practices) and student mathematics achievement. Work was…
Classroom Environment, Achievement Goals and Maths Performance: Gender Differences
Gherasim, Loredana Ruxandra; Butnaru, Simona; Mairean, Cornelia
2013-01-01
This study investigated how gender shapes the relationships between classroom environment, achievement goals and maths performance. Seventh-grade students ("N"?=?498) from five urban secondary schools filled in achievement goal orientations and classroom environment scales at the beginning of the second semester. Maths performance was…
A Literature Review: The Effect of Implementing Technology in a High School Mathematics Classroom
Murphy, Daniel
2016-01-01
This study is a literature review to investigate the effects of implementing technology into a high school mathematics classroom. Mathematics has a hierarchical structure in learning and it is essential that students get a firm understanding of mathematics early in education. Some students that miss beginning concepts may continue to struggle with…
Myers, Kayla D.; Swars, Susan L.; Smith, Stephanie Z.
2016-01-01
This project focuses on the development of prospective Elementary Mathematics Specialists (EMSs) in a K-5 Mathematics Endorsement Program. Program courses emphasized elementary mathematics content and pedagogy while providing opportunities for participants to evidence their learning through classroom teaching practice, all in an attempt to…
Mathematics and Gender Stereotypes in One Jewish and One Druze Grade 5 Classroom in Israel
Directory of Open Access Journals (Sweden)
David Mittelberg
2011-01-01
Full Text Available We report findings from qualitative case studies of two grade 5 classrooms in Israel, one Jewish and one Druze. The aim was to identify classroom factors contributing to the differences in the gendered patterns of mathematics outcomes for Jewish and Arab Israeli students. Marked differences were found in the teachers' gender-related interactions with students, and their beliefs and expectations of boys' and girls' mathematical capabilities. The Jewish teacher held conventional gender-stereotyped beliefs of male mathematical superiority. The Druze teacher believed that girls required affirmative action to overcome implied gender biases in favour of males in the Druze community. The findings support earlier research and theoretical perspectives on gender-related issues in the mathematics classroom. In particular, when teachers hold gender-biased beliefs and expectations, students' classroom experiences and mathematics learning outcomes are impacted along gender lines.
Yu, Rongrong
2015-01-01
The present study explored the direct influences of teacher classroom practices, including teacher support, conceptual teaching, and procedural teaching, on 9th grade students' mathematics achievement, and the indirect influences of these teacher variables on student mathematics achievement through students' mathematics self-efficacy and interest in mathematics courses. The base year data of High School Longitudinal Study of 2009 (HSLS: 09) was used for this study. Structural equation modelin...
Inverted Classroom by Topic - A Study in Mathematics for Electrical Engineering Students
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Isabel Braun
2014-06-01
Full Text Available The inverted classroom is a teaching model, where the students prepare for classroom by watching video lectures. The classroom time is then dedicated to individual practice. We evaluated a mathematics course for electrical engineering students throughout three semesters, where 20% of the topics were taught using the inverted classroom model. The aim was to find out whether the model can help to better address groups with large differences in prior knowledge in mathematics. We report mainly positive feedback from the students, although the opinions vary greatly between the groups. The students appreciate the increased amount of practice in the classroom as well as the possibility to learn at their own pace. Exam performance remained constant in the topics taught using the inverted classroom compared to previous semesters. The exam performance of weaker students also remained constant.
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İkramettin Daşdemir
2016-09-01
Full Text Available The aim of this research is to determine the effect of the different teaching methods, on seventh-grade students’ academic achievement and scientific attitudes. The research was carried out using quasi-experimental methods. The research sample consisted of 84 seventh grade students studying in three different classes. One of these classes an animation group, the second class was a cooperative group, the third was a control group. The data collection tools used were the Science Achievement Test (SAT and the Scientific Attitude Scale (SAS.When each group’s SAT and SAS pre-test ANOVA scores were compared, no significant differences were found between them. SAT post-test results showed a significant difference in favour of the animation group. In addition, the findings of the study revealed that the cooperative group’s mean post-test were not statistically significant. When SAS post-test scores of the animation and control groups were compared, there was a significant difference in favour of the animation group. When the SAS post-test scores of the cooperative and control groups were compared, there was a significant difference in favour of the cooperative group. When the SAS post-test scores of the cooperative and animation group were compared, there were no statistically significant differences in students’ attitudes.
Directory of Open Access Journals (Sweden)
İkramettin DAŞDEMİR
2016-09-01
Full Text Available The aim of this research is to determine the effect of the different teaching methods, on seventh-grade students’ academic achievement and scientific attitudes. The research was carried out using quasi-experimental methods. The research sample consisted of 84 seventh grade students studying in three different classes. One of these classes an animation group, the second class was a cooperative group, the third was a control group. The data collection tools used were the Science Achievement Test (SAT and the Scientific Attitude Scale (SAS.When each group’s SAT and SAS pre-test ANOVA scores were compared, no significant differences were found between them. SAT post-test results showed a significant difference in favour of the animation group. In addition, the findings of the study revealed that the cooperative group’s mean post-test were not statistically significant. When SAS post-test scores of the animation and control groups were compared, there was a significant difference in favour of the animation group. When the SAS post-test scores of the cooperative and control groups were compared, there was a significant difference in favour of the cooperative group. When the SAS post-test scores of the cooperative and animation group were compared, there were no statistically significant differences in students’ attitudes.
Scaffolding norms of argumentation-based inquiry in a primary mathematics classroom
Makar, Katie; Bakker, Arthur; Ben-Zvi, Dani
2015-01-01
Developing argumentation-based inquiry practices requires teachers and students to be explicit about classroom norms that support these practices. In this study, we asked: How can a teacher scaffold the development of argumentation-based inquiry norms and practices in a mathematics classroom? A
Heller, Vivien
2016-01-01
The article examines how diverse semiotic resources are made available for explaining mathematical terms in a fifth-grade classroom. Situated within the methodological framework developed by conversation analysis and the analysis of embodiment-in-interaction, the study deals with two instances of a classroom episode in each of which participants…
Digital Technologies in Mathematics Classrooms: Barriers, Lessons and Focus on Teachers
Sacristán, Ana Isabel
2017-01-01
In this paper, drawing from data from several experiences and studies in which I have been involved in Mexico, I reflect on the constraints and inertia of classroom cultures, and the barriers to successful, meaningful and transformative technology integration in mathematics classroom. I focus on teachers as key players for this integration,…
de Freitas, Elizabeth
2013-01-01
The primary aim of this article is to bring the work of Deleuze and Guattari to bear on the question of communication in the classroom. I focus on the mathematics classroom, where agency and subjectivity are highly regulated by the rituals of the discipline, and where neoliberal psychological frameworks continue to dominate theories of teaching…
Hussain, Mohammed Abdul; Monaghan, John; Threlfall, John
2013-01-01
This paper applies and extends Valsiner's "zone theory" (zones of free movement and promoted actions) through an examination of an intervention to establish inquiry communities in primary mathematics classrooms. Valsiner's zone theory, in a classroom setting, views students' freedom of choice of action and thought as mediated by the teacher. The…
Using Mobile Technology to Encourage Mathematical Communication in Maori-Medium Pangarau Classrooms
Allen, Piata
2017-01-01
Maori-medium pangarau classrooms occupy a unique space within the mathematics education landscape. The language of instruction is an endangered minority language and many teachers and learners in Maori-medium pangarau classrooms are second language (L2) learners of te reo Maori. Mobile technology could be used in Maori-medium pangarau classrooms…
Classroom-Based Integration of Text-Messaging in Mathematics Teaching-Learning Process
Aunzo, Rodulfo T., Jr.
2017-01-01
A lot of teachers are complaining that students are "texting" inside the classroom even during class hours. With this, this research study "on students' perception before the integration and the students' attitude after the integration of text messaging inside the classroom during the mathematics teaching-learning process was…
The Impact of the Flipped Classroom on Mathematics Concept Learning in High School
Bhagat, Kaushal Kumar; Chang, Cheng-Nan; Chang, Chun-Yen
2016-01-01
The present study aimed to examine the effectiveness of the flipped classroom learning environment on learner's learning achievement and motivation, as well as to investigate the effects of flipped classrooms on learners with different achievement levels in learning mathematics concepts. The learning achievement and motivation were measured by the…
Teaching by Open-Approach Method in Japanese Mathematics Classroom.
Nohda, Nobuhiko
Mathematics educators in Japan have traditionally emphasized mathematical perspectives in research and practice. This paper features an account of changes in mathematics education in Japan that focus on the possibilities of individual students as well as their mathematical ways of thinking. Students' mathematical thinking, mathematical…
Student and Parent Perspectives on Fipping the Mathematics Classroom
Muir, Tracey
2015-01-01
Traditionally, the domain of higher education, the 'flipped classroom' is gaining in popularity in secondary school settings. In the flipped classroom, digital technologies are used to shift direct instruction from the classroom to the home, providing students with increased autonomy over their learning. While advocates of the approach believe it…
Jitendra, Asha K.; Star, Jon R.; Dupuis, Danielle N.; Rodriguez, Michael C.
2013-01-01
This study examined the effect of schema-based instruction (SBI) on 7th-grade students' mathematical problem-solving performance. SBI is an instructional intervention that emphasizes the role of mathematical structure in word problems and also provides students with a heuristic to self-monitor and aid problem solving. Using a…
The Effects of Classroom Goal Structures on the Creativity of Junior High School Students
Peng, Shu-Ling; Cherng, Biing-Lin; Chen, Hsueh-Chih
2013-01-01
Previous studies have indicated that situational factors can influence students' creativity. However, no studies have specifically examined the relationship between classroom goal structures and student creativity during real classroom activities. For this study, we recruited 232 seventh-grade students from Taipei City and randomly divided them…
"Just Don't": The Suppression and Invitation of Dialogue in the Mathematics Classroom
Wagner, David; Herbel-Eisenmann, Beth
2008-01-01
Responding to concerns raised by grade 11 mathematics students, we examined a broad set of mathematics classroom transcripts from multiple teachers to examine how the word "just" was and could be used to suppress and invite dialogue. We used corpus linguistics tools to process and quantify the large body of text, not to describe the nature of the…
Classroom-Based Professional Expertise: A Mathematics Teacher's Practice with Technology
Bozkurt, Gulay; Ruthven, Kenneth
2017-01-01
This study examines the classroom practice and craft knowledge underpinning one teacher's integration of the use of GeoGebra software into mathematics teaching. The chosen teacher worked in an English secondary school and was professionally well regarded as an accomplished user of digital technology in mathematics teaching. Designed in accordance…
Culligan, Karla
2015-01-01
This phenomenological study (Creswell, 2003, 2007; van Manen, 1997) explores student and teacher perceptions of first language use in French immersion mathematics classrooms at a large, urban high school in Canada. During individual interviews, participants discussed their perceptions and experiences of French immersion mathematics, language use,…
Winners and Losers in Single-Sex Science and Mathematics Classrooms.
Baker, Dale; Jacobs, Kathy
This paper discusses the success of single sex science and mathematics education classrooms. Most studies on single sex learning environments come from countries such as Australia, Jamaica, Nigeria, Great Britain, New Zealand, and Thailand, and there is little research on American public schools. This study investigates single sex mathematics and…
Open-Ended Tasks in the Promotion of Classroom Communication in Mathematics
Viseu, Floriano; Oliveira, Inês Bernardo
2012-01-01
Mathematics programmes in basic education are currently undergoing reform in Portugal. This paper sets out to see how teachers are putting the new guidelines for the teaching of mathematics into practice, with particular emphasis on maths communication in the classroom. To achieve this, an experiment in teaching the topic "Sequences and…
Construction of Tasks in Order to Develop and Promote Classroom Communication in Mathematics
Olteanu, Lucian
2015-01-01
In this article, the focus is on task construction and the importance of this process to develop and promote classroom communication in mathematics. The students' tests, examination of students' mathematical work, the teachers' lesson plans, and reports of the lessons' instructions are the basic data for this article. The analysis indicated that…
Negotiation of Meaning in Mathematics Classrooms: A Study of Two Year 5 Classes.
Frid, Sandra; Malone, John
1995-01-01
Investigated relationship between students' classroom experiences and how they construct mathematical meanings. Suggests that students determine meaning or correctness of mathematical activity according to teacher, intuition, familiarity, and procedural knowledge. The teacher emerged as playing the most valued role in sense making and ratifying of…
Teachers Implementing Mathematical Problem Posing in the Classroom: Challenges and Strategies
Leung, Shuk-kwan S.
2013-01-01
This paper reports a study about how a teacher educator shared knowledge with teachers when they worked together to implement mathematical problem posing (MPP) in the classroom. It includes feasible methods for getting practitioners to use research-based tasks aligned to the curriculum in order to encourage children to pose mathematical problems.…
Designing Opportunities for Prospective Teachers to Facilitate Mathematics Discussions in Classrooms
Hunter, Roberta; Anthony, Glenda
2012-01-01
How prospective teachers can best be prepared to teach effectively in mathematics classrooms is a topic of current concern. In this paper, we describe our exploration of ways in which prospective teachers were supported to translate what they learnt in mathematics methods classes into pedagogical practice. We illustrate how the use of discourse…
Using Disney's "Frozen" to Motivate Mathematics: Bringing Fractals into the Classroom
Piatek-Jimenez, Katrina; Phelps, Christine M.
2016-01-01
The movie "Frozen" took the world by storm and this global popularity of the movie and its music can be harnessed by teachers of mathematics. This article builds on the "frozen fractal" lyric from "Let It Go" to incorporate fractal geometry into primary mathematics classrooms.
Revitalising Mathematics Classroom Teaching through Lesson Study (LS): A Malaysian Case Study
Lim, Chap Sam; Kor, Liew Kee; Chia, Hui Min
2016-01-01
This paper discusses how implementation of Lesson Study (LS) has brought about evolving changes in the quality of mathematics classroom teaching in one Chinese primary school. The Japanese model of LS was adapted as a teacher professional development to improve mathematics teachers' teaching practices. The LS group consisted of five mathematics…
Kasmer, Lisa Anne; Billings, Esther
2017-01-01
This study investigated how a study abroad experience teaching mathematics in Tanzania, Africa impacted a group of secondary education pre-service teachers (PSTs) from the United States. In particular we discuss their ability to facilitate the learning of students in multilingual mathematics classrooms while personally developing intercultural…
Incorporating the iPad2 in the Mathematics Classroom: Extending the Mind into the Collective
Directory of Open Access Journals (Sweden)
Armando Paulino Preciado Babb
2012-04-01
Full Text Available Doubtlessly, mathematics is one of the most important subjects in education from K to 12 levels especially for students interested in eventually pursuing undergraduate studies in the fields of science and technology. As it has been argued in mathematics education research, not only the content, but also the form in which students learn is important for mathematics learning. Particularly, an inquiry approach permeates through the mathematics curriculum of several countries around the world. Additionally, the use of technology to learn mathematics has been increasing in the last decades, requiring teachers and professionals in education to constantly explore and learn new possibilities or affordances in the classroom. The purpose of this paper is to initiate a discussion about the possible and complex forms of interaction among students, teacher, mathematical tasks, and the electronic tablet (iPad2 in an inquiry learning environment. An experience from a grade 10 classroom is used as a context to exemplify these interactions.
S.M.P. SEQUENTIAL MATHEMATICS PROGRAM.
CICIARELLI, V; LEONARD, JOSEPH
A SEQUENTIAL MATHEMATICS PROGRAM BEGINNING WITH THE BASIC FUNDAMENTALS ON THE FOURTH GRADE LEVEL IS PRESENTED. INCLUDED ARE AN UNDERSTANDING OF OUR NUMBER SYSTEM, AND THE BASIC OPERATIONS OF WORKING WITH WHOLE NUMBERS--ADDITION, SUBTRACTION, MULTIPLICATION, AND DIVISION. COMMON FRACTIONS ARE TAUGHT IN THE FIFTH, SIXTH, AND SEVENTH GRADES. A…
Introduction to the papers of TWG19: Mathematics teacher and classroom practices
Potari , Despina; Figueiras , Lourdes; Mosvold , Reidar; Sakonidis , Charalambos; Skott , Jeppe
2015-01-01
International audience; This Thematic Working Group (TWG) together with TWG18 and TWG20 addresses questions related to mathematics teachers, teaching, and their development. TWG19 focuses particularly on mathematics teaching, including important micro and macro factors that frame it. Classroom research has been the focus for many years in mathematics education, but new theoretical and methodological directions have been reported in this group aiming to study on the one hand the overall comple...
Vaughn, Sharon; Martinez, Leticia R.; Linan-Thompson, Sylvia; Reutebuch, Colleen K.; Carlson, Coleen D.; Francis, David J.
2009-01-01
Two experimental studies to improve vocabulary knowledge and comprehension were conducted in 7th-grade social studies classes with English language learners (ELLs). Two different nonoverlapping samples of classes of 7th-grade students (N = 381 and N = 507) were randomly assigned at the classroom (i.e., section) level to a social studies…
Abela, John R Z; Véronneau-McArdle, Marie-Hélène
2002-04-01
The goal of this study was to test the diathesis-stress component of Linville's and Morgan and Janoff-Bulman's models of the relationship between self-complexity and depressive symptoms in a sample of third and seventh grade children (P. W. Linville, 1985, 1987; H. J. Morgan & Janoff-Bulman, 1994). The procedure involved an initial assessment of self-complexity and depressive symptoms. The procedure also involved a follow-up assessment, 10 weeks later, in which depressive symptoms and the occurrence of negative events were assessed. Contrary to hypotheses, neither high levels of total nor positive self-complexity served as a buffer against the onset of depressive symptoms following the occurrence of negative events. In line with hypotheses, however, high levels of negative self-complexity interacted with the occurrence of negative events to predict increases in depressive symptoms in seventh but not third grade children.
Geometry Report; Cambridge Conference on School Mathematics Feasibility Study No. 39.
Stolzenberg, Gabriel
These materials were written with the aim of reflecting the thinking of the Cambridge Conference on School Mathematics (CCSM) regarding the goals and objectives for school mathematics. This report deals with some seventh grade mathematical concepts taught at Cambridge Friends' School. The discovery approach was utilized by the teacher in order to…
Nord, Anette; Hult, Håkan; Kreitz-Sandberg, Susanne; Herlitz, Johan; Svensson, Leif; Nilsson, Lennart
2017-06-23
The aim of this research is to investigate if two additional interventions, test and reflection, after standard cardiopulmonary resuscitation (CPR) training facilitate learning by comparing 13-year-old students' practical skills and willingness to act. Seventh grade students in council schools of two municipalities in south-east Sweden. School classes were randomised to CPR training only (O), CPR training with a practical test including feedback (T) or CPR training with reflection and a practical test including feedback (RT). Measures of practical skills and willingness to act in a potential life-threatening situation were studied directly after training and at 6 months using a digital reporting system and a survey. A modified Cardiff test was used to register the practical skills, where scores in each of 12 items resulted in a total score of 12-48 points. The study was conducted in accordance with current European Resuscitation Council guidelines during December 2013 to October 2014. 29 classes for a total of 587 seventh grade students were included in the study. The total score of the modified Cardiff test at 6 months was the primary outcome. Secondary outcomes were the total score directly after training, the 12 individual items of the modified Cardiff test and willingness to act. At 6 months, the T and O groups scored 32 (3.9) and 30 (4.0) points, respectively (ptraining improved the students' acquisition of practical CPR skills. Reflection did not increase further CPR skills. At 6-month follow-up, no intervention effect was found regarding willingness to make a life-saving effort. © Article author(s) (or their employer(s) unless otherwise stated in the text of the article) 2017. All rights reserved. No commercial use is permitted unless otherwise expressly granted.
Understanding the Chinese Approach to Creative Teaching in Mathematics Classrooms
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,…
Jitendra, Asha K.; Harwell, Michael R.; Dupuis, Danielle N.; Karl, Stacy R.; Lein, Amy E.; Simonson, Gregory; Slater, Susan C.
2015-01-01
This experimental study evaluated the effectiveness of a research-based intervention, schema-based instruction (SBI), on students' proportional problem solving. SBI emphasizes the underlying mathematical structure of problems, uses schematic diagrams to represent information in the problem text, provides explicit problem-solving and metacognitive…
An Analysis of the Impact of Single-Sex Schools on Seventh Grade Math and Reading Tasks Scores
Groves-Redwood, Tarawa F.
2012-01-01
The purpose of this study was to determine if there is a statistically significant mean difference in math and reading student performance by types of schools. The types of schools were identified as all-male and all-female public middle schools. Specifically, this study examined the impact of public single-sex schools on the mathematics and…
A case study of epistemic order in mathematics classroom dialogue
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Kenneth Ruthven
2016-09-01
Full Text Available We define epistemic order as the way in which the exchange and development of knowledge takes place in the classroom, breaking this down into a system of three components: epistemic initiative relating to who sets the agenda in classroom dialogue, and how; epistemic appraisal relating to who judges contributions to classroom dialogue, and how; and epistemic framing relating to the terms in which development and exchange of knowledge are represented, particularly in reflexive talk. These components are operationalised in terms of various types of structural and semantic analysis of dialogue. It is shown that a lesson segment displays a multi-layered epistemic order differing from that of conventional classroom recitation.
Performance-based classrooms: A case study of two elementary teachers of mathematics and science
Jones, Kenneth W.
This case study depicts how two elementary teachers develop classrooms devoted to performance-based instruction in mathematics and science. The purpose is to develop empirical evidence of classroom practices that leads to a conceptual framework about the nature of performance-based instruction. Performance-based assessment and instruction are defined from the literature to entail involving students in tasks that are complex and engaging, requiring them to apply knowledge and skills in authentic contexts. In elementary mathematics and science, such an approach emphasizes problem solving, exploration, inquiry, and reasoning. The body of the work examines teacher beliefs, curricular orientations, instructional strategies, assessment approaches, management and organizational skills, and interpersonal relationships. The focus throughout is on those aspects that foster student performance in elementary mathematics and science. The resulting framework describes five characteristics that contribute to performance-based classrooms: a caring classroom community, a connectionist learning theory, a thinking and doing curriculum, diverse opportunities for learning, and ongoing assessment, feedback, and adjustment. The conclusion analyzes factors external to the classroom that support or constrain the development of performance-based classrooms and discusses the implications for educational policy and further research.
Nenthien, Sansanee; Loima, Jyrki
2016-01-01
The aims of this qualitative research were to investigate the level of motivation and learning of ninth grade students in mathematics classrooms in Thailand and to reveal how the teachers supported students' levels of motivation and learning. The participants were 333 students and 12 teachers in 12 mathematics classrooms from four regions of…
Center for Research and Reform in Education, 2012
2012-01-01
This review summarizes research on the effects of technology use on mathematics achievement in K-12 classrooms. The main research questions included: (1) Do education technology applications improve mathematics achievement in K-12 classrooms as compared to traditional teaching methods without education technology?; and (2) What study and research…
Schenke, Katerina; Nguyen, Tutrang; Watts, Tyler W; Sarama, Julie H; Clements, Douglas H
2017-08-01
We examined whether African American students differentially responded to dimensions of the observed classroom-learning environment compared with non-African American students. Further, we examined whether these dimensions of the classroom mediated treatment effects of a preschool mathematics intervention targeted at students from low-income families. Three observed dimensions of the classroom (teacher expectations and developmental appropriateness; teacher confidence and enthusiasm; and support for mathematical discourse) were evaluated in a sample of 1,238 preschool students in 101 classrooms. Using multigroup multilevel mediation where African American students were compared to non-African American students, we found that teachers in the intervention condition had higher ratings on the observed dimensions of the classroom compared with teachers in the control condition. Further, ratings on teacher expectations and developmental appropriateness had larger associations with the achievement of African American students than for non-African Americans. Findings suggest that students within the same classroom may react differently to that learning environment and that classroom learning environments could be structured in ways that are beneficial for students who need the most support.
Annas, Suwardi; Djadir; Mutmainna Hasma, Sitti
2018-01-01
on is an activity to organize a mathematical concept that has been previously owned into a new mathematical structure. Activites in abstraction are recognizing, organizing and constructing. Recognizing is a process of identifying a mathematical structure that had existed before. Organizing is a process of using structural knowledge to be assembled into a solution of a problem and constructing is a process of organizing the characteristics of the object into a new structure that does not exist. In abstraction process, the students use attributes to address the object, including routine attribute, nonroutine attributes, and meaningless attributes. This research applied descriptive qualitative research which aimed to describe the abstraction ability of students from high, moderate, and low groups to construct a relation within triangle. In collecting the data, this research used students’ pre-ability math test, abstraction test, and guided interview. The sampling technique in this research was based on the students’ scores in pre-ability math test, which were divided into three groups. Two students from each group were opted as the subjects of this research. Questions of the test are based on the indicators of steps in abstraction activity. Thus, based on the data gained in this research, researcher determined the tendency of attributes used in each abstraction activity. The result of this research revealed that students from high, moderate and low groups were prone to use routine attributes in recognizing triangles. In organizing the characteristics within triangles, high group tended to organize the triangle correctly, while the moderate and low groups tended to organize the triangle incorrectly. In constructing relation within triangles, students in high, moderate and low groups construct it incompletely.
A Framework for Authenticity in the Mathematics and Statistics Classroom
Garrett, Lauretta; Huang, Li; Charleton, Maria Calhoun
2016-01-01
Authenticity is a term commonly used in reference to pedagogical and curricular qualities of mathematics teaching and learning, but its use lacks a coherent framework. The work of researchers in engineering education provides such a framework. Authentic qualities of mathematics teaching and learning are fit within a model described by Strobel,…
Language diversity in the mathematics classroom: does a learner ...
African Journals Online (AJOL)
In this study, the researchers developed an 'aid' that would assist learners to relate mathematics terms and concepts in English with terms in their own languages. The study determined whether a visual multilingual learner companion brought change in learners' performance in mathematics. Also what the educators' views ...
Effectiveness of Using Games in Tertiary-Level Mathematics Classrooms
Afari, Ernest; Aldridge, Jill M.; Fraser, Barry J.
2012-01-01
The primary focus of this study was to investigate the effectiveness of games when used in tertiary-level mathematics classes in the United Arab Emirates. Our study incorporated a mixed-method approach that involved surveys (to assess students' perceptions of the learning environment and attitudes towards mathematics), interviews, observations of…
Some Applications of Mathematics for the Biology Classroom
Horton, Robert M.; Leonard, William H.
2013-01-01
Biology and mathematics are inextricably linked. In this article, we show a few of the many areas in which this linkage might be made explicit. By doing so, teachers can deepen students' understanding and appreciation of both subjects. In this article, we explore some of these areas, providing brief explanations of the mathematics and some of the…
Ask Marilyn in the Mathematics Classroom: Probability Questions
Vasko, Francis J.
2012-01-01
Since 1986, Marilyn Vos Savant, who is listed in the "Guinness Book of World Records Hall of Fame" for the highest IQ, has had a weekly column that is published in "Parade Magazine." In this column, she answers readers' questions on a wide variety of subjects including mathematics and particularly probability. Many of the mathematically oriented…
Characterizing Mathematics Classroom Practice: Impact of Observation and Coding Choices
Ing, Marsha; Webb, Noreen M.
2012-01-01
Large-scale observational measures of classroom practice increasingly focus on opportunities for student participation as an indicator of instructional quality. Each observational measure necessitates making design and coding choices on how to best measure student participation. This study investigated variations of coding approaches that may be…
Teachers’ development in a flipped classroom for applied mathematics
DEFF Research Database (Denmark)
Triantafyllou, Evangelia; Timcenko, Olga; Kofoed, Lise
2016-01-01
In this paper, we discuss how the flipped classroom approach promoted teacher reflection and development. We look at the teaching cycle from a flipped instruction model perspective and we adjust it to cater for the reflection loops teachers are involved when designing, implementing and re-designi...
Patterns of motivation and emotion in mathematics classrooms
Lewis , Gareth
2015-01-01
International audience; A case is made that the study of state, as opposed to trait, is necessary to give a more rounded picture of affective aspects of students' experience of learning mathematics. This paper is based on a study of disaffection with school mathematics. The study was a primarily qualitative study conducted from a constructivist and interpre-tivist perspective, using Reversal Theory as the main design and interpretive framework. The paper reports findings of some patterns in t...
Tomaz, Vanessa Sena; David, Maria Manuela
2015-01-01
Our aim is to discuss how school mathematical activity is modified when students' everyday situations are brought into the classroom. One illustrative sequence--7th grade classes solving problems that required proportional reasoning--is characterized as a system of interconnected activities within the theoretical perspective of activity theory. We…
Cicconi, Megan
2014-01-01
With the advent of Web 2.0, Vygotsky's traditional role of the more knowledgeable other (MKO) has been transformed. This transformation shifts the power of a facilitator of learning from an elite group of MKOs to all students. Such a transformation possesses significant value in the early childhood mathematics classroom where collaboration is…
The effect of shift-problem lessons in the mathematics classroom
Palha, S.; Dekker, Rijkje; Gravemeijer, K.P.E.
2015-01-01
It remains difficult to foster problem-solving and mathematical-reasoning capabilities in classrooms where students and teachers are accustomed to the more traditional forms of education. Several studies suggest that this difficulty might be related to the kind of knowledge students acquire in such
Relationships between Mathematics Teacher Preparation and Graduates' Analyses of Classroom Teaching
Hiebert, James; Berk, Dawn; Miller, Emily
2017-01-01
The purpose of this longitudinal study was to investigate the relationships between mathematics teacher preparation and graduates' analyses of classroom teaching. Fifty-three graduates from an elementary teacher preparation program completed 4 video-based, analysis-of-teaching tasks in the semester before graduation and then in each of the 3…
On the Use of Client-Driven Projects in the Mathematics Classroom
Maki, Dan; Winston, Wayne; Shafii-Mousavi, Morteza; Kochanowski, Paul; Lang, Chris; Ernstberger, Kathy; Hodgson, Ted
2006-01-01
In this article, we discuss the use of client-driven projects--projects that are posed by business, government, and non-profit organizations and based upon real problems facing the organization. Although client-driven projects have long been used in business and engineering education, their use in the mathematics classroom is rare. Client-driven…
Goodnough, Karen; Murphy, Elizabeth
2017-01-01
The purpose of this paper is to make sense of the professional learning of four teachers implementing a flipped classroom approach in their grade six mathematics class. The professional learning took place within a two-year Action Research (AR) project that engaged teachers in collaborative and iterative planning, implementation, observation and…
Using Collective Argumentation to Engage Students in a Primary Mathematics Classroom
Brown, Raymond
2017-01-01
This article focuses on using sociocultural theory to support student engagement with mathematics. The sociocultural approach used, collective argumentation (CA), is based on interactive principles necessary for coordinating student engagement in the discourse of the classroom. A goal of the research was to explore the affordances and constraints…
Barnard-Brak, Lucy; Wei, Tianlan; Schmidt, Marcelo; Sheffield, Rebecca
2014-01-01
Purpose: Few studies have examined the role of inclusivity in international assessments of student achievement, such as the TIMSS (Trends in International Mathematics and Science Study). The current study examined how the inclusivity of students with disabilities at the classroom level across countries may be associated with achievement scores,…
Teachers' use of classroom assessment in primary school mathematics education in the Netherlands
Veldhuis, M.; van den Heuvel-Panhuizen, M.; Vermeulen, Jorine; Eggen, Theodorus Johannes Hendrikus Maria
2013-01-01
This paper reports on a survey of the classroom assessment practices of Dutch primary school teachers in mathematics education. We investigated, using an online questionnaire, how teachers collect information on their studentś progress and how teacherś assessment methods, purposes, and beliefs about
Implementing a Flipped Classroom Approach in a University Numerical Methods Mathematics Course
Johnston, Barbara M.
2017-01-01
This paper describes and analyses the implementation of a "flipped classroom" approach, in an undergraduate mathematics course on numerical methods. The approach replaced all the lecture contents by instructor-made videos and was implemented in the consecutive years 2014 and 2015. The sequential case study presented here begins with an…
Problem Solving Strategies of Girls and Boys in Single-Sex Mathematics Classrooms
Che, Megan; Wiegert, Elaine; Threlkeld, Karen
2012-01-01
This study examines patterns in middle-grade boys' and girls' written problem solving strategies for a mathematical task involving proportional reasoning. The students participating in this study attend a coeducational charter middle school with single-sex classrooms. One hundred nineteen sixth-grade students' responses are analyzed by gender…
Pre-Service Teachers' Defensive Pessimism in Situ: Two Case Studies within a Mathematics Classroom
Merz, Alice H.; Swim, Terri Jo
2008-01-01
In this study, defensive pessimism is reviewed in relation to anxiety, self-esteem, expectations, self-regulation, and self-handicapping. Then, two case studies of American pre-service teachers in a mathematics classroom are provided that move the research beyond survey and correlational studies. In the case analyses, defensive pessimists'…
Turner, Julianne C.; Midgley, Carol; Meyer, Debra K.; Gheen, Margaret; Anderman, Eric M.; Kang, Yongjin; Patrick, Helen
2002-01-01
The relation between learning environment (perceptions of classroom goal structure and teachers' instructional discourse) and students' reported use of avoidance strategies (self-handicapping, avoidance of help seeking) and preference to avoid novelty in mathematics was examined. High incidence of motivational support was uniquely characteristic…
Tas, Yasemin; Balgalmis, Esra
2016-01-01
The goal of this study was to describe Turkish mathematics and science teachers' use of computer in their classroom instruction by utilizing TIMSS 2011 data. Analyses results revealed that teachers most frequently used computers for preparation purpose and least frequently used computers for administration. There was no difference in teachers'…
One-to-one iPad technology in the middle school mathematics and science classrooms
Bixler, Sharon G.
Science, technology, engineering, and mathematics (STEM) education has become an emphasized component of PreK-12 education in the United States. The US is struggling to produce enough science, mathematics, and technology experts to meet its national and global needs, and the mean scores of science and mathematics students are not meeting the expected levels desired by our leaders (Hossain & Robinson, 2011). In an effort to improve achievement scores in mathematics and science, school districts must consider many components that can contribute to the development of a classroom where students are engaged and growing academically. Computer technology (CT) for student use is a popular avenue for school districts to pursue in their goal to attain higher achievement. The purpose of this study is to examine the use of iPads in a one-to-one setting, where every student has his own device 24/7, to determine the effects, if any, on academic achievement in the areas of mathematics and science. This comparison study used hierarchical linear modeling (HLM) to examine three middle schools in a private school district. Two of the schools have implemented a one-to-one iPad program with their sixth through eighth grades and the third school uses computers on limited occasions in the classroom and in a computer lab setting. The questions addressed were what effect, if any, do the implementation of a one-to-one iPad program and a teacher's perception of his use of constructivist teaching strategies have on student academic achievement in the mathematics and science middle school classrooms. The research showed that although the program helped promote the use of constructivist activities through the use of technology, the one-to-one iPad initiative had no effect on academic achievement in the middle school mathematics and science classrooms.
Kelly, Daniel P.; Rutherford, Teomara
2017-01-01
Khan Academy is a large and popular open educational resource (OER) with little empirical study into its impact on student achievement in mathematics when used in schools. In this study, we examined the use of Khan Academy as a mathematics intervention among seventh grade students over a 4-week period versus a control group. We also compared…
Kapur, Manu
2011-01-01
This paper replicates and extends my earlier work on productive failure in mathematical problem solving (Kapur, doi:10.1007/s11251-009-9093-x, 2009). One hundred and nine, seventh-grade mathematics students taught by the same teacher from a Singapore school experienced one of three learning designs: (a) traditional lecture and practice (LP), (b)…
Nobel, Michele Mcmahon
2005-07-01
This study investigated the effects of classwide peer tutoring (CWPT) on the acquisition, maintenance, and generalization of science vocabulary words and definitions. Participants were 14 seventh grade students at-risk for failure in a general education science course; 3 students had learning disabilities and 2 had a communication disorder. CWPT was conducted daily for 20 minutes during the last period of the school day. Procedures for CWPT were consistent with the Ohio State University CWPT model. Students were engaged in dyadic, reciprocal tutoring. Tutors presented word cards to tutees to identify the word and definition. Tutors praised correct responses and used a correction procedure for incorrect responses. After practicing their vocabulary words, students completed a daily testing procedure and recorded and plotted data. Many of the study's findings are consistent with previous studies using CWPT to teach word identification. Results of this study indicate a functional relationship between CWPT and acquisition of science vocabulary. All students were able to acquire words and definitions. Results for maintenance and generalization varied. When acquisition criterion was changed, maintenance and generalization scores increased for some students, while other students remained consistently high. All students reported that they enjoyed CWPT, and all but student stated it helped them learn science vocabulary.
Kul, Umit; Celik, Sedef
2017-01-01
This paper has been conducted to determine future teachers' mathematical beliefs and to explore the relationship between their mathematical beliefs and initial teaching practice in a classroom setting, in terms of how they design the content of teaching activities, they employed the style of teaching in mathematics, and they engaged with pupils. A…
Pepin, B.; Haggarty, L.
2001-01-01
After a through review of the relevant literature in terms of textbook analysis and mathematics teachers' user of textbooks in school contexts, this paper reports on selected and early findings from a study of mathematics textbooks and their use in English, French and German mathematics classrooms
Yang, Xinrong
2015-01-01
This paper reports findings from a survey of how rural junior secondary school students in the western part of China perceive their mathematics classroom learning environments and associations of learning environment with their attitudes toward mathematics and mathematics achievement. Using adaptations of the widely-used What Is Happening In this…
Sriraman, Bharath
2006-01-01
This paper explores the wide range of mathematics content and processes that arise in the secondary classroom via the use of unusual counting problems. A universal pedagogical goal of mathematics teachers is to convey a sense of unity among seemingly diverse topics within mathematics. Such a goal can be accomplished if we could conduct classroom…
Tas, Yasemin
2016-01-01
This study investigated middle school students' engagement in science in relation to students' perceptions of the classroom learning environment (teacher support, student cohesiveness, and equity) and motivation (self-efficacy beliefs and achievement goals). The participants were 315 Turkish sixth and seventh grade students. Four hierarchical…
Reconsidering Off-Task: A Comparative Study of PDA-Mediated Activities in Four Classrooms
Mifsud, L.; Morch, A. I.
2010-01-01
Mobile technology is ubiquitous and diverse and permeates many aspects of daily life at home, during leisure activities, and in public spaces. The study presented here is of two sixth grade classes in Michigan, USA and two seventh grade classes in Norway. The students and the teachers in these four classrooms were equipped with mobile technologies…
Creating Video Games in a Middle School Language Arts Classroom: A Narrative Account
Oldaker, Adam
2010-01-01
This article describes the author's experience co-facilitating a project for which seventh-grade students designed and created original video games based on Madeleine L'Engle's "A Wrinkle in Time". The author provides an overview of recent literature on video game implementation in the classroom and explains how the project was designed and…
Boriack, Anna Christine
The purpose of this study is to examine teachers' perceptions of professional development and changes in classroom practice. A proposed conceptual framework for effective professional development that results in changes in classroom practices was developed. Data from two programs that provided professional development to teachers in the areas of technology, mathematics, and science was used to inform the conceptual framework. These two programs were Target Technology in Texas (T3) and Mathematics, Science, and Technology Teacher Preparation Academies (MSTTPA). This dissertation used a multiple article format to explore each program separately, yet the proposed conceptual framework allowed for comparisons to be made between the two programs. The first study investigated teachers' perceptions of technology-related professional development after their districts had received a T3 grant. An online survey was administrated to all teachers to determine their perceptions of technology-related professional development along with technology self-efficacy. Classroom observations were conducted to determine if teachers were implementing technology. The results indicated that teachers did not perceive professional development as being effective and were not implementing technology in their classrooms. Teachers did have high technology self-efficacy and perceived adequate school support, which implies that effective professional development may be a large factor in whether or not teachers implement technology in their classrooms. The second study evaluated participants' perceptions of the effectiveness of mathematics and science professional development offered through a MSTTP academy. Current and former participants completed an online survey which measured their perceptions of academy activities and school environment. Participants also self-reported classroom implementation of technology. Interviews and open-ended survey questions were used to provide further insight into
Focal Event, Contextualization, and Effective Communication in the Mathematics Classroom
Nilsson, Per; Ryve, Andreas
2010-01-01
The aim of this article is to develop analytical tools for studying mathematical communication in collaborative activities. The theoretical construct of contextualization is elaborated methodologically in order to study diversity in individual thinking in relation to effective communication. The construct of contextualization highlights issues of…
Re-Mythologizing Mathematics through Attention to Classroom Positioning
Wagner, David; Herbel-Eisenmann, Beth
2009-01-01
With our conceptualization of Harre and van Langenhove's (1999) positioning theory, we draw attention to immanent experience and read transcendent discursive practices through the moment of interaction. We use a series of spatial images as metaphors to analyze the way positioning is conceptualized in current mathematics education literature and…
Promoting Student Collaboration in a Detracked, Heterogeneous Secondary Mathematics Classroom
Staples, Megan E.
2008-01-01
Detracking and heterogeneous groupwork are two educational practices that have been shown to have promise for affording all students needed learning opportunities to develop mathematical proficiency. However, teachers face significant pedagogical challenges in organizing productive groupwork in these settings. This study offers an analysis of one…
Web 2.0 in the Mathematics Classroom
McCoy, Leah P.
2014-01-01
A key characteristic of successful mathematics teachers is that they are able to provide varied activities that promote student learning and assessment. Web 2.0 applications can provide an assortment of tools to help produce creative activities. A Web 2.0 tool enables the student to enter data and create multimedia products using text, graphics,…
Concrete Math Manipulatives in Upper Elementary Mathematics Classrooms
Graham, Janina Maria
2013-01-01
Today's mathematics standards require teachers to use concrete math manipulatives (CMM) to increase the proficiency of students, but many upper elementary teachers fail to use these resources. The effects of this resource disuse may decrease student learning potential and impede successful standardized test results. This case study allows leaders…
Blending Online and Traditional Instruction in the Mathematics Classroom.
Abrams, Gene; Haefner, Jeremy
2002-01-01
Describes the MathOnline system at the University of Colorado (Colorado Springs), a learning delivery method that, in addition to blending synchronous and asynchronous learning, combines traditional mathematics instruction with distance learning. Student surveys indicate the system greatly enhances traditional learners' educational experiences…
Diagram, Gesture, Agency: Theorizing Embodiment in the Mathematics Classroom
de Freitas, Elizabeth; Sinclair, Nathalie
2012-01-01
In this paper, we use the work of philosopher Gilles Chatelet to rethink the gesture/diagram relationship and to explore the ways mathematical agency is constituted through it. We argue for a fundamental philosophical shift to better conceptualize the relationship between gesture and diagram, and suggest that such an approach might open up new…
Classroom assessment in Chinese primary school mathematics education
Zhao, X.
2018-01-01
In mainland China, where there exists a deeply-rooted examination culture, an assessment reform promoting the use of assessment to support teaching and learning has been carried out since 2001. After a decade, however, only a few studies have been done that focus on primary school mathematics
Developing classroom formative assessment in dutch primary mathematics education
van den Berg, M.; Harskamp, E.G.; Suhre, C.J.M.
2016-01-01
In the last two decades Dutch primary school students scored below expectation in international mathematics tests. An explanation for this may be that teachers fail to adequately assess their students’ understanding of learning goals and provide timely feedback. To improve the teachers’ formative
Competence with fractions predicts gains in mathematics achievement.
Bailey, Drew H; Hoard, Mary K; Nugent, Lara; Geary, David C
2012-11-01
Competence with fractions predicts later mathematics achievement, but the codevelopmental pattern between fractions knowledge and mathematics achievement is not well understood. We assessed this codevelopment through examination of the cross-lagged relation between a measure of conceptual knowledge of fractions and mathematics achievement in sixth and seventh grades (N=212). The cross-lagged effects indicated that performance on the sixth grade fractions concepts measure predicted 1-year gains in mathematics achievement (ß=.14, pmathematics achievement did not predict gains on the fractions concepts measure (ß=.03, p>.50). In a follow-up assessment, we demonstrated that measures of fluency with computational fractions significantly predicted seventh grade mathematics achievement above and beyond the influence of fluency in computational whole number arithmetic, performance on number fluency and number line tasks, central executive span, and intelligence. Results provide empirical support for the hypothesis that competence with fractions underlies, in part, subsequent gains in mathematics achievement. Copyright © 2012 Elsevier Inc. All rights reserved.
Casler-Failing, Shelli L.
2017-01-01
This mixed methods, action research case study sought to investigate the effects of incorporating LEGO robotics into a seventh grade mathematics curriculum focused on the development of proportional reasoning through the lens of Social Constructivist Theory. Quantitative data was collected via pre- and post-tests from the mathematics class of six…
Savard, Annie; Manuel, Dominic
2015-01-01
Statistics is a domain that is taught in Mathematics in all school levels. We suggest a potential in using an interdisciplinary approach with this concept. Thus the development of the understanding of a situation might mean to use both mathematical and statistical reasoning. In this paper, we present two case studies where two middle school…
Using collective argumentation to engage students in a primary mathematics classroom
Brown, Raymond
2017-02-01
This article focuses on using sociocultural theory to support student engagement with mathematics. The sociocultural approach used, collective argumentation (CA), is based on interactive principles necessary for coordinating student engagement in the discourse of the classroom. A goal of the research was to explore the affordances and constraints of using CA to enrich student engagement with mathematics. The design of the research was based on a teaching experiment that sought to capture the influence of social and cultural processes on learning and development. Participants included primary and secondary school teachers and their mathematics classes. This article focuses on the practice of one female primary school teacher. Data sources included interview transcripts, report writings, journal entries and observational records. Data were analysed using a participation framework. Findings suggest that aspects of CA such as students explaining and justifying ideas and presenting ideas to the whole class can be used by teachers to promote student engagement with mathematics.
Lischka, Alyson E; Garner, Mary
In this paper we present the development and validation of a Mathematics Teaching Pedagogical and Discourse Beliefs Instrument (MTPDBI), a 20 item partial-credit survey designed and analyzed using Rasch measurement theory. Items on the MTPDBI address beliefs about the nature of mathematics, teaching and learning mathematics, and classroom discourse practices. A Rasch partial credit model (Masters, 1982) was estimated from the pilot study data. Results show that item separation reliability is .96 and person separation reliability is .71. Other analyses indicate the instrument is a viable measure of secondary teachers' beliefs about reform-oriented mathematics teaching and learning. This instrument is proposed as a useful measure of teacher beliefs for those working with pre-service and in-service teacher development.
Directory of Open Access Journals (Sweden)
Didik Adi Saputro
2017-08-01
Full Text Available The aim of research to test students' mathematical communication used themed of PBL with scaffolding, themed of PBL and PBL achieve mastery learning;to test students' mathematical communication that used the themed of PBL with scaffolding, themed of PBL and PBL; and to test students' mathematical communication for the low, medium group, and a high-group themed of PBL with scaffolding, themed of PBL and PBL. This type of research is quantitative research. The Population is seventh grade students of SMPN 22 Semarang and the sample class VII E, F and VII VII G. Used normality test, homogenity test, equality test on average, the proportion of one-party test, one way anova test, and scheffe test. The results showed that (1 Student’s mathematical communication ability using themed of PBLwith Scaffolding strategy,themed of PBL, and PBL achieve the completeness of learning, (2 there is a difference in the classroom using the themed of PBL with scaffolding, themed of PBL, as well as PBL, (3 For the low, medium, high and there is a difference in the classroom using the themed of PBL with scaffolding, themed of PBL and PBL.
Lee, Carrie W.; Walkowiak, Temple A.; Nietfeld, John L.
2017-03-01
The purpose of this study was to investigate the relationship between prospective teachers' (PTs) instructional practises and their efficacy beliefs in classroom management and mathematics teaching. A sequential, explanatory mixed-methods design was employed. Results from efficacy surveys, implemented with 54 PTs were linked to a sample of teachers' instructional practises during the qualitative phase. In this phase, video-recorded lessons were analysed based on tasks, representations, discourse, and classroom management. Findings indicate that PTs with higher levels of mathematics teaching efficacy taught lessons characterised by tasks of higher cognitive demand, extended student explanations, student-to-student discourse, and explicit connections between representations. Classroom management efficacy seems to bear influence on the utilised grouping structures. These findings support explicit attention to PTs' mathematics teaching and classroom management efficacy throughout teacher preparation and a need for formative feedback to inform development of beliefs about teaching practises.
King, Megan E.
2011-01-01
Classroom communication can often be a teacher-centered discussion. Due to the teacher centered format of discussions students are not engaging in meaningful discourse in mathematics classroom, which is part of the NCTM 2000 Standards as well as a necessary component to learning. Students can only learn communication skills when discourse is a central feature from the classroom. In addition, students must explicitly learn problem-solving skills. Unfortunately, many of these features are absen...
Lazarides, Rebecca; Rubach, Charlott
2017-02-01
This longitudinal study examined relationships between student-perceived teaching for meaning, support for autonomy, and competence in mathematic classrooms (Time 1), and students' achievement goal orientations and engagement in mathematics 6 months later (Time 2). We tested whether student-perceived instructional characteristics at Time 1 indirectly related to student engagement at Time 2, via their achievement goal orientations (Time 2), and, whether student gender moderated these relationships. Participants were ninth and tenth graders (55.2% girls) from 46 classrooms in ten secondary schools in Berlin, Germany. Only data from students who participated at both timepoints were included (N = 746 out of total at Time 1 1118; dropout 33.27%). Longitudinal structural equation modeling showed that student-perceived teaching for meaning and support for competence indirectly predicted intrinsic motivation and effort, via students' mastery goal orientation. These paths were equivalent for girls and boys. The findings are significant for mathematics education, in identifying motivational processes that partly explain the relationships between student-perceived teaching for meaning and competence support and intrinsic motivation and effort in mathematics.
Students’ Attention when Using Touchscreens and Pen Tablets in a Mathematics Classroom
Directory of Open Access Journals (Sweden)
Chiung-Hui Chiu
2017-03-01
Full Text Available Aim/Purpose: The present study investigated and compared students’ attention in terms of time-on-task and number of distractors between using a touchscreen and a pen tablet in mathematical problem-solving activities with virtual manipulatives. Background: Although there is an increasing use of these input devices in educational practice, little research has focused on assessing student attention while using touchscreens or pen tablets in a mathematics classroom. Methodology: A qualitative exploration was conducted in a public elementary school in New Taipei, Taiwan. Six fifth-grade students participated in the activities. Video recordings of the activities and the students’ actions were analyzed. Findings: The results showed that students in the activity using touchscreens maintained greater attention and, thus, had more time-on-task and fewer distractors than those in the activity using pen tablets. Recommendations for Practitioners: School teachers could employ touchscreens in mathematics classrooms to support activities that focus on students’ manipulations in relation to the attention paid to the learning content. Recommendation for Researchers: The findings enhance our understanding of the input devices used in educational practice and provide a basis for further research. Impact on Society: The findings may also shed light on the human-technology interaction process involved in using pen and touch technology conditions. Future Research: Activities similar to those reported here should be conducted using more participants. In addition, it is important to understand how students with different levels of mathematics achievement use the devices in the activities.
Researching multicultural mathematics classroom through the lens of landscapes of learning
DEFF Research Database (Denmark)
Alrø, Helle; Skovsmose, Ole; Valero, Paola
Students' motives for learning mathematics cannot be understood by looking solely at mathematical classroom activities. We discuss this claim in a multicultural context using the notion of 'landscapes of learning'. This notion serves as a theoretical and methodological tool that both defines...... a research perspective and sketches a field of empirical research. In this paper we want to focus on the notion and illustrate its usefulness when researching mathematical learning in multicultural contexts. We draw on data and results of an empirical study on student’s foregrounds with 45 teenage students...... in two 8th grade multicultural classes in Denmark. We show the dialectical relationship between each dimension of the landscape and the whole of it; and how, as a whole, it can help us coming closer to better theorisations....
Reis, Giuliano; Barwell, Richard
2013-01-01
The day-to-day business of being a science or mathematics teacher involves the continuous assessment of students. This, in turn, is an inherently discursive process. The aim of the present study is to examine some of the specific discursive practices through which science and mathematics knowing is jointly produced through classroom interaction.…
The Effect of Contextual and Conceptual Rewording on Mathematical Problem-Solving Performance
Haghverdi, Majid; Wiest, Lynda R.
2016-01-01
This study shows how separate and combined contextual and conceptual problem rewording can positively influence student performance in solving mathematical word problems. Participants included 80 seventh-grade Iranian students randomly assigned in groups of 20 to three experimental groups involving three types of rewording and a control group. All…
Bouck, Emily C.; Joshi, Gauri S.; Johnson, Linley
2013-01-01
This study assessed if students with and without disabilities used calculators (fourfunction, scientific, or graphing) to solve mathematics assessment problems and whether using calculators improved their performance. Participants were sixth and seventh-grade students educated with either National Science Foundation (NSF)-funded or traditional…
Assessing the Internal Dynamics of Mathematical Problem Solving in Small Groups.
Artzt, Alice F.; Armour-Thomas, Eleanor
The purpose of this exploratory study was to examine the problem-solving behaviors and perceptions of (n=27) seventh-grade students as they worked on solving a mathematical problem within a small-group setting. An assessment system was developed that allowed for this analysis. To assess problem-solving behaviors within a small group a Group…
Sakiz, Gonul; Pape, Stephen J; Hoy, Anita Woolfolk
2012-04-01
The purpose of the present study was to explore the importance of perceived teacher affective support in relation to sense of belonging, academic enjoyment, academic hopelessness, academic self-efficacy, and academic effort in middle school mathematics classrooms. A self-report survey was administered to 317 seventh- and eighth-grade students in 5 public middle schools. Structural equation modeling indicated significant associations between perceived teacher affective support and middle school students' motivational, emotional, and behavioral outcomes. The structural model explained a significant proportion of variance in students' sense of belonging (42%), academic enjoyment (43%), self-efficacy beliefs (43%), academic hopelessness (18%), and academic effort (32%) in mathematics classrooms. In addition to providing the basis for a concise new measure of perceived teacher affective support, these findings point to the importance of students' perceptions of the affective climate within learning environments for promoting academic enjoyment, academic self-efficacy, and academic effort in mathematics. Copyright Â© 2011 Society for the Study of School Psychology. Published by Elsevier Ltd. All rights reserved.
Language-as-resource and language-as-political: tensions in the bilingual mathematics classroom
Planas, Núria; Civil, Marta
2013-09-01
In this article we reflect on the learning of mathematics in bilingual settings from a social and a political perspective. In particular we highlight two concepts that are key to our work: language-as-resource and language-as-political. To do so, we draw on classroom data from students of Mexican origin in Tucson, USA, and students from Latin America in Barcelona, Spain. The language policies in our contexts share a message of privileging the language of instruction (English or Catalan) over other languages. Our analysis of the two sets of data points to differences in the mathematical participation of students on the basis of which language they use. We develop the argument that, even if languages other than Catalan and English are accepted and certain pedagogies may be close to a language-as-resource approach, the use of the students' languages is politically mediated in such a way that its pedagogical value (as a medium of communication and learning) is not always taken into account in the bilingual mathematics classroom.
Implementing a flipped classroom approach in a university numerical methods mathematics course
Johnston, Barbara M.
2017-05-01
This paper describes and analyses the implementation of a 'flipped classroom' approach, in an undergraduate mathematics course on numerical methods. The approach replaced all the lecture contents by instructor-made videos and was implemented in the consecutive years 2014 and 2015. The sequential case study presented here begins with an examination of the attitudes of the 2014 cohort to the approach in general as well as analysing their use of the videos. Based on these responses, the instructor makes a number of changes (for example, the use of 'cloze' summary notes and the introduction of an extra, optional tutorial class) before repeating the 'flipped classroom' approach the following year. The attitudes to the approach and the video usage of the 2015 cohort are then compared with the 2014 cohort and further changes that could be implemented for the next cohort are suggested.
Expectations and implementations of the flipped classroom model in undergraduate mathematics courses
Naccarato, Emilie; Karakok, Gulden
2015-10-01
The flipped classroom model is being used more frequently in undergraduate mathematics courses. As with any new teaching model, in-depth investigations of both various implementation styles and how the new model improves student learning are needed. Currently, many practitioners have been sharing their implementations of this model. However, there has not yet been an investigation of the various implementations of the model to discern general trends in this movement. With this research goal in mind, we conducted a study exploring various implementations of the flipped classroom model by interviewing 19 faculty members who experienced using this model at 14 different institutes. Results indicate that participants had similar motivations for implementation; however, subsequent implementations were different. In addition, we share participants' perspectives on (a) student learning of pre-requisite, procedural and conceptual knowledge, and (b) how this particular model promotes such knowledge developments. Finally, we provide suggestions for future implementations and research regarding this particular teaching model.
Student perceptions on learning with online resources in a flipped mathematics classroom
DEFF Research Database (Denmark)
Triantafyllou, Eva; Timcenko, Olga
2015-01-01
This article discusses student perceptions of if and how online resources contribute to mathematics learning and motivation. It includes results from an online survey we conducted at the Media Technology department of Aalborg University, Copenhagen, Denmark. For this study, students were given...... links to various online resources (screencasts, online readings and quizzes, and lecture notes) for out-of-class preparation in a flipped classroom in mathematics. The survey results show support for student perceptions that online resources enhance learning, by providing visual and in depth...... explanations, and they can motivate students. However, students stated that they miss just-in-time explanations when learning with online resources and they questioned the quality and validity of some of them....
Fairman, Janet; Porter, Michael; Fisher, Susannah
2015-01-01
This report presents the findings from interviews with principals about their schools' participation in the ASSISTments efficacy study on seventh-grade mathematics. The purpose of the interviews was to explore the following areas: To what extent schools had policies or expectations regarding homework practice and completion; To what extent schools…
Mautone, Jennifer A; DuPaul, George J; Jitendra, Asha K
2005-08-01
The present study examines the effects of computer-assisted instruction (CAI) on the mathematics performance and classroom behavior of three second-through fourth-grade students with ADHD. A controlled case study is used to evaluate the effects of the computer software on participants' mathematics performance and on-task behavior. Participants' mathematics achievement improve and their on-task behavior increase during the CAI sessions relative to independent seatwork conditions. In addition, students and teachers consider CAI to be an acceptable intervention for some students with ADHD who are having difficulty with mathematics. Implications of these results for practice and research are discussed.
Toh, Tin Lam; Cheng, Lu Pien; Ho, Siew Yin; Jiang, Heng; Lim, Kam Ming
2017-01-01
This paper discusses the use of comics in teaching mathematics in the secondary mathematics classroom. We explicate how the use of comics in teaching mathematics can prepare students for the twenty-first century competencies. We developed an alternative teaching package using comics for two lower secondary mathematics topics. This alternative…
Lee, Carrie W.; Walkowiak, Temple A.; Nietfeld, John L.
2017-01-01
The purpose of this study was to investigate the relationship between prospective teachers' (PTs) instructional practises and their efficacy beliefs in classroom management and mathematics teaching. A sequential, explanatory mixed-methods design was employed. Results from efficacy surveys, implemented with 54 PTs were linked to a sample of…
Tully, D.; Jacobs, B.
2010-01-01
This study focused on a population of female engineering students, probing the influences of their secondary school experience on their choice to pursue an engineering course of study at university. The motivating question is: Do unique opportunities exist in an all-female secondary school mathematics classroom, which impact a young woman's…
DEFF Research Database (Denmark)
Tamborg, Andreas Lindenskov
2018-01-01
Currently, digital learning platforms are being implemented in Danish elementary schools. These platforms are developed with a dual aim of both supporting teachers’ planning and classroom teaching. This paper investigates and discusses the opportunities of using the documentational approach to st...... to study Danish mathematics teachers’ use of these platforms for classroom teaching and preliminary findings here of in the context of an ongoing PhD project.......Currently, digital learning platforms are being implemented in Danish elementary schools. These platforms are developed with a dual aim of both supporting teachers’ planning and classroom teaching. This paper investigates and discusses the opportunities of using the documentational approach...
Ottmar, Erin R.; Rimm-Kaufman, Sara E.; Berry, Robert Q.; Larsen, Ross A.
2013-01-01
This study highlights the connections between two facets of teachers' skills--those supporting teachers' mathematical instructional interactions and those underlying social interactions within the classroom. The impact of the Responsive Classroom (RC) approach and use of RC practices on the use of standards-based mathematics teaching practices was…
Directory of Open Access Journals (Sweden)
Kevin R. Clark
2015-01-01
Full Text Available In many of the secondary classrooms across the country, students are passively engaged in the mathematics content, and academic performance can be described, at best, as mediocre. This research study sought to bring about improvements in student engagement and performance in the secondary mathematics classroom through the implementation of the flipped model of instruction and compared student interaction in the flipped classroom with a traditional format. The flipped model of instruction is a relatively new teaching strategy attempting to improve student engagement and performance by moving the lecture outside the classroom via technology and moving homework and exercises with concepts inside the classroom via learning activities. Changes in the student participants’ perceptions and attitudes were evidenced and evaluated through the completion of a pre- and post-survey, a teacher-created unit test, random interviews, and a focus group session. In addition, the researcher documented observations, experiences, thoughts, and insights regarding the intervention in a journal on a daily basis. Quantitative results and qualitative findings revealed the student participants responded favorably to the flipped model of instruction and experienced an increase in their engagement and communication when compared to the traditional classroom experience. The student participants also recognized improvements in the quality of instruction and use of class of time with the flipped model of instruction. In terms of academic performance, no significant changes were demonstrated between the flipped model of instruction students and those taught in a traditional classroom environment.
Skaalvik, Einar M.; Federici, Roger A.
2016-01-01
The purpose of this study was to test possible interactions between mastery and performance goal structures in mathematics classrooms when predicting students' goal orientations. More specifically, we tested if the degree of performance goal structure moderated the associations between mastery goal structure and students' goal orientations.…
Taljaard, Johann
2016-01-01
This article reviews the literature on multi-sensory technology and, in particular, looks at answering the question: "What multi-sensory technologies are available to use in a science, technology, engineering, arts and mathematics (STEAM) classroom, and do they affect student engagement and learning outcomes?" Here engagement is defined…
Wen, Xiaoli; Bulotsky-Shearer, Rebecca J.; Hahs-Vaughn, Debbie L.; Korfmacher, Jon
2012-01-01
Guided by a developmental-ecological framework and Head Start's two-generational approach, this study examined two dimensions of Head Start program quality, classroom quality and parent involvement and their unique and interactive contribution to children's vocabulary, literacy, and mathematics skills growth from the beginning of Head Start…
Pilson, Sylvia Yvonne Reddick
2013-01-01
The curriculum for elementary students has undergone a significant change in the past decade. This led to an increased expectation for higher academic performance for fifth grade students in the areas of reading and mathematics. Teachers seek innovative ways to provide instructional practices within their classrooms that will aid success for all…
Battle, Toni S.
2007-01-01
Manipulatives are the way to our future and the way to new knowledge. No matter where we turn or what we do, we as a society are using some form of manipulative in our lives. Mathematics is changing all of the time from basic arithmetic to basic calculus. Therefore, children in today's classroom deserve to have that extra tool to help them grasp…
Depaepe, Fien; De Corte, Erik; Verschaffel, Lieven
2012-01-01
The article deals with the way in which authority was established and interpreted by teachers and students in two Flemish sixth-grade mathematics classrooms. Problem-solving lessons during a seven-month observation period were analysed regarding three aspects of teacher-student interactions that explicitly or implicitly reflect who bears…
The TI-Nspire CAS: A Happy-Medium Mobile Device for Grades 8-16 Mathematics Classrooms
Zelkowski, Jeremy
2011-01-01
This article justifies classifying the TI-Nspire CAS Touchpad as a mobile device for grades 8-16 mathematics classrooms equipped with a Navigator system. The 2010 Horizon Report: K-12 indicates virtually every secondary school aged child has some sort of mobile device. Yet, many school policies ban the use of mobile devices, preventing students…
Önal, Nezih
2017-01-01
The purpose of the present research was to reveal students' perceptions regarding the use of the interactive whiteboard in the mathematics classroom within the framework of the Technology Acceptance Model. Semi-structured interviews were performed with 58 secondary school students (5th, 6th, 7th, and 8th grades) to collect data. The data obtained…
Kombe, Dennis; Che, S. Megan; Carter, Traci L.; Bridges, William
2016-01-01
In this article, we present findings from a study that investigated the relationship between all-girls classes, all-boys classes, and coeducational classes on student mathematics self-concept and student perception of classroom environment. Further, we compared responses of girls in all-girls classes to girls in coeducational classes and responses…
Didik Adi Saputro; Masrukan Masrukan; Arief Agoestanto
2017-01-01
The aim of research to test students' mathematical communication used themed of PBL with scaffolding, themed of PBL and PBL achieve mastery learning;to test students' mathematical communication that used the themed of PBL with scaffolding, themed of PBL and PBL; and to test students' mathematical communication for the low, medium group, and a high-group themed of PBL with scaffolding, themed of PBL and PBL. This type of research is quantitative research. The Population is seventh grade studen...
Directory of Open Access Journals (Sweden)
Tyler, Robyn
2016-12-01
Full Text Available In bilingual classrooms, content is often learned simultaneously with a new language. Recent applied linguistics research has identified shifts in discourse made by teachers and learners as they work towards these two goals. Departing from a sociocultural perspective on teaching and learning, this study assumes learners and teachers bring rich and diverse linguistic repertoires to the classroom. This paper examines selected episodes of discourse shifts which took place in a week-long mathematics enrichment programme run by a non-government organisation in rural South Africa. In this Xhosa-English bilingual context, I undertook a small-scale ethnographically-informed case study in which evidence of and comment on discourse shifting was collected in the form of video and audio recordings of lessons and interviews with participants. The focus of the analysis is on the translanguaging strategies (especially register meshing of the teacher and a learning facilitator as they work to make the curriculum accessible to the learners. The argument made in the paper is that the unidirectional notion of discourse shifting from more everyday, spoken, home language discourses to more discipline-specific, written, English discourses is not adequate in explaining the complex multidirectional shifting apparent in my data.
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.
Directory of Open Access Journals (Sweden)
Nimer F. Baya'a
2013-03-01
Full Text Available ICT integration in mathematics education provides mathematics teachers with integrative teaching methods that motivate students learning, support their independent learning and active participation in the discovery of mathematics concepts and topics, and, as a result, helps them have deeper understanding of the mathematical ideas. So, the integration of ICT in the teaching and learning of mathematics, as a result of ICT educational affordances, helps students have better achievement in mathematics. These potentialities of the ICT make its integration in the mathematics classroom a promising practice, but the success of this practice is dependent on various factors, among which are the following: teachers' perceptions of their ability in ICT, teachers' attitudes towards ICT contribution to the mathematics teaching, teachers' attitudes towards ICT contribution to students' mathematics learning, teachers' emotions towards the use of ICT in the mathematics classroom, teachers' feelings of self-esteem and control in the presence of ICT in the mathematics classroom, and teachers' intentions to actually integrate ICT in their teaching. The current research came to verify the readiness of Arab teachers in elementary and middle schools in Israel regarding the integration of ICT in the classroom, and hence its interest in the six above constructs. The research used a questionnaire that included statements related to each one of the above constructs. This questionnaire was administered to 475 Arab teachers in elementary and middle schools in the North, Center and Haifa regions in Israel. The research findings show that more than seventy percent of the participating teachers have positive perceptions of their competence in technology and technology integration in their teaching. Further, they have positive attitudes towards the integration of ICT in teaching and learning and of their self-esteem in the presence of technology, in addition to positive
Tran, Van Dat
2012-01-01
This study reports the validity of the hypothesis that students' perceptions of the learning environment of mathematics classroom may predict their attitudes and self-esteem towards mathematics. It examines data from 487 grade 9th students from 14 mathematics classes in 7 Vietnamese lower secondary schools to identify how students' perceptions of…
McKinney, Sueanne E.; Robinson, Jack; Berube, Clair T.
2013-01-01
The National Council of Teachers of Mathematics' "Principles and Standards for School Mathematics" outlines fundamental elements that are crucial for creating a problem-solving and inquiry-driven classroom learning environment that highlights conceptual understandings of mathematics ideas. Even though this document outlines…
Muir, Tracey; Geiger, Vince
2016-03-01
Teaching secondary mathematics has a number of challenges, including the expectations that teachers cover the prescribed curriculum, help students learn difficult concepts, prepare students for future studies, and, increasingly, that they do so incorporating digital technologies. This study investigates a teacher's, and his students', perceptions of the benefits or otherwise of a flipped classroom approach in meeting these challenges, within a prescribed curriculum context. Data collection instruments included a survey designed to investigate the nature of students' engagement with the flipped approach and semi-structured student and teacher interviews. Analysis of these data indicated that the teacher and students were positive about their experiences with a flipped classroom approach and that students were motivated to engage with the teacher-created online mathematics resources. The study adds to the limited research literature related to student and teacher perceptions of the affordances of the flipped classroom approach and has implications for secondary mathematics teachers who face the challenge of the twin demands of covering the prescribed curriculum and catering for a range of students' learning needs.
Tully, D.; Jacobs, B.
2010-08-01
This study focused on a population of female engineering students, probing the influences of their secondary school experience on their choice to pursue an engineering course of study at university. The motivating question is: Do unique opportunities exist in an all-female secondary school mathematics classroom, which impact a young woman's self-perception of her mathematics ability as well as promote a positive path towards an engineering-based university major? Using both qualitative and quantitative data collection instruments, this study examined a sample of Australian engineering students enrolled at the University of Technology, Sydney (UTS). Demographic statistics show that 40% of UTS' female engineering student population attended a single-gender secondary school, indicating a potential influence of school type (single-gender) on engineering enrolment patterns. Female students were primarily motivated to pursue a post secondary engineering path because of a self-belief that they are good at mathematics. In contrast, male students were more influenced by positive male role models of family members who are practising engineers. In measures of self- perception of mathematical skill and ability, female students from single-gender schools outscored their male engineering counterparts. Additionally, female students seem to benefit from verbal encouragement, contextualisation, same gender problem-solving groups and same gender classroom dynamics.
Indian Academy of Sciences (India)
Classroom. In this section of Resonance, we in'Vite readers to pose questions likely to be raised in a classroom situation. We may suggest strategies for dealing with them, or in'Vite responses, or ... "Classroom" is equally a forum for raising broader issues and .... Now we can approach the question from a different viewpoint.
Butin, Dan
This paper addresses classroom design trends and the key issues schools should consider for better classroom space flexibility and adaptability. Classroom space design issues when schools embrace technology are discussed, as are design considerations when rooms must accommodate different grade levels, the importance of lighting, furniture…
Jao, Limin
2012-01-01
The National Council of Teachers of Mathematics (NCTM, 2000) has created a set of standards to reform mathematics teaching procedures to ensure that all students understand mathematics and learn to think mathematically. The standards also require teachers to use strategies that allow all students to reason and communicate mathematically and…
Clarkson, Philip C.
2009-01-01
Multilingual classrooms are the normal learning contexts for most children throughout the world. However not all such contexts are identical. This distinction is not always made in the literature. In this paper the multilingual context for classrooms in many urban classrooms in Australia is described before exploring a possible model that might be…
The Flipped Classroom: Implementing Technology to Aid in College Mathematics Student's Success
Buch, George R.; Warren, Carryn B.
2017-01-01
August 2016 there was a call (Braun, Bremser, Duval, Lockwood & White, 2017) for post-secondary instructors to use active learning in their classrooms. Once such example of active learning is what is called the "flipped" classroom. This paper presents the need for, and the methodology of the flipped classroom, results of…
Dorman, Jeffrey P.; Adams, Joan E.; Ferguson, Janet M.
Classroom environment research investigating the relationship between classroom environment and self-handicapping was conducted in Australian, Canadian, and British high schools. A sample of 3,602 students from 29 schools responded to a questionnaire that assessed student perceptions of classroom environment, self-handicapping, and academic…
Directory of Open Access Journals (Sweden)
Tim Dunne
2012-11-01
Full Text Available The challenges inherent in assessing mathematical proficiency depend on a number of factors, amongst which are an explicit view of what constitutes mathematical proficiency, an understanding of how children learn and the purpose and function of teaching. All of these factors impact on the choice of approach to assessment. In this article we distinguish between two broad types of assessment, classroom-based and systemic assessment. We argue that the process of assessment informed by Rasch measurement theory (RMT can potentially support the demands of both classroom-based and systemic assessment, particularly if a developmental approach to learning is adopted, and an underlying model of developing mathematical proficiency is explicit in the assessment instruments and their supporting material. An example of a mathematics instrument and its analysis which illustrates this approach, is presented. We note that the role of assessment in the 21st century is potentially powerful. This influential role can only be justified if the assessments are of high quality and can be selected to match suitable moments in learning progress and the teaching process. Users of assessment data must have sufficient knowledge and insight to interpret the resulting numbers validly, and have sufficient discernment to make considered educational inferences from the data for teaching and learning responses.
Remillard, Janine T., Ed.; Herbel-Eisenmann, Beth A., Ed.; Lloyd, Gwendolyn M., Ed.
2011-01-01
This book compiles and synthesizes existing research on teachers' use of mathematics curriculum materials and the impact of curriculum materials on teaching and teachers, with a particular emphasis on--but not restricted to--those materials developed in the 1990s in response to the NCTM's Principles and Standards for School Mathematics. Despite…
Visual arts and the teaching of the mathematical concepts of shape and space in Grade R classrooms
Directory of Open Access Journals (Sweden)
Dianne Wilmot
2015-09-01
Full Text Available This article addresses the need for research in the areas of Grade R curriculum and pedagogy, Grade R teacher professional development, and early years mathematics teaching. More specifically, it responds to the need for teacher professional development in Grade R mathematics teaching of the geometric concepts of space and shape. The article describes a study about teachers’ understanding of how visual arts can be used as pedagogical modality. The study was prompted by the findings of a ‘Maths and Science through Arts and Culture Curriculum’ intervention undertaken with Grade R teachers enrolled for a Bachelor of Education (Foundation Phase degree at a South African university. Post-intervention, teachers’ classroom practices did not change, and they were not using visual arts to teach mathematical concepts. The lessons learned from the research intervention may contribute to the wider debate about Grade R teaching and children’s learning.
Stigler, James W.; Gonzales, Patrick; Kawanaka, Takako; Knoll, Steffen; Serrano, Ana
1999-01-01
Describes the methods and preliminary findings of the Videotape Classroom Study, a video survey of eighth-grade mathematics lessons in Germany, Japan, and the United States. Part of the Third International Mathematics and Science study, this research project is the first study of videotaped records from national probability samples. (SLD)
Values in the Mathematics Classroom: Supporting Cognitive and Affective Pedagogical Ideas
Seah, Wee Tiong
2016-01-01
Values are the personal convictions which one finds important. Three different aspects which are associated with mathematics education differently are identified, namely, values through mathematics education, values of mathematics education, and values for mathematics. These are paired with Bishop's (1996) conceptions of general educational,…
Directory of Open Access Journals (Sweden)
Robin H. Kay
2008-12-01
Full Text Available The current study offers a formative analysis of the impact of learning objects in middle school mathematics and science classrooms. Five reliable and valid measure of effectiveness were used to examine the impact of learning objects from the perspective of 262 students and 8 teachers (14 classrooms in science or mathematics. The results indicate that teachers typically spend 1-2 hours finding and preparing for learning-object based lesson plans that focus on the review of previous concepts. Both teachers and students are positive about the learning benefits, quality, and engagement value of learning objects, although teachers are more positive than students. Student performance increased significantly, over 40%, when learning objects were used in conjunction with a variety of teaching strategies. It is reasonable to conclude that learning objects have potential as a teaching tool in a middle school environment. L’impacte des objets d’apprentissage dans les classes de mathématique et de sciences à l’école intermédiaire : une analyse formative Résumé : Cette étude présente une analyse formative de l’impacte des objets d’apprentissage dans les classes de mathématique et de sciences à l’école intermédiaire. Cinq mesures de rendement fiables et valides ont été exploitées pour examiner l’effet des objets d’apprentissage selon 262 élèves et 8 enseignants (414 classes en science ou mathématiques. Les résultats indiquent que les enseignants passent typiquement 1-2 heures pour trouver des objets d’apprentissage et préparer les leçons associées qui seraient centrées sur la revue de concepts déjà vus en classe. Quoique les enseignants aient répondu de façon plus positive que les élèves, les deux groupes ont répondu positivement quant aux avantages au niveau de l’apprentissage, à la qualité ainsi qu’à la valeur motivationnelle des objets d’apprentissage. Le rendement des élèves aurait aussi augment
Zengin, Yilmaz
2017-01-01
The purpose of this study was to determine the effect of the flipped classroom approach designed by using Khan Academy and free open source software on students' academic achievement and to examine students' views about this approach. The research was evaluated in the light of both qualitative and quantitative data. Twenty-eight students studying…
Online Mathematics Homework Increases Student Achievement
Directory of Open Access Journals (Sweden)
Jeremy Roschelle
2016-10-01
Full Text Available In a randomized field trial with 2,850 seventh-grade mathematics students, we evaluated whether an educational technology intervention increased mathematics learning. Assigning homework is common yet sometimes controversial. Building on prior research on formative assessment and adaptive teaching, we predicted that combining an online homework tool with teacher training could increase learning. The online tool ASSISTments (a provides timely feedback and hints to students as they do homework and (b gives teachers timely, organized information about students’ work. To test this prediction, we analyzed data from 43 schools that participated in a random assignment experiment in Maine, a state that provides every seventh-grade student with a laptop to take home. Results showed that the intervention significantly increased student scores on an end-of-the-year standardized mathematics assessment as compared with a control group that continued with existing homework practices. Students with low prior mathematics achievement benefited most. The intervention has potential for wider adoption.
Focus on the use of language in the multicultural mathematics classroom
DEFF Research Database (Denmark)
Johansen, Lene Østergaard
. understanding the meaning of the words "in front of") when they enter first grade in primary school (Nyborg and Nyborg, 1990). Students who lack these abilities either with regard to mathematics or language are from the beginning of schooling limited in their mathematical performance and in a "risk zone......" of developing learning difficulties in mathematics. Teaching the teachers a consciousness for the use of language in mathematics teaching as well as educating them to have a special focus on developing the vocabulary of the students can render the mathematics teaching more inclusive. Furthermore, it may help......Learning mathematics can be seen as learning a foreign language or learning a particular mathematical discourse. Nolte (2004) calls mathematics the students' first second language. The use of language in mathematics teaching, hence the way we talk and the way we write, differ from the way the same...
Steinbring, Heinz
2005-01-01
Mathematics is generally considered as the only science where knowledge is uni form, universal, and free from contradictions. „Mathematics is a social product - a 'net of norms', as Wittgenstein writes. In contrast to other institutions - traffic rules, legal systems or table manners -, which are often internally contradictory and are hardly ever unrestrictedly accepted, mathematics is distinguished by coherence and consensus. Although mathematics is presumably the discipline, which is the most differentiated internally, the corpus of mathematical knowledge constitutes a coher ent whole. The consistency of mathematics cannot be proved, yet, so far, no contra dictions were found that would question the uniformity of mathematics" (Heintz, 2000, p. 11). The coherence of mathematical knowledge is closely related to the kind of pro fessional communication that research mathematicians hold about mathematical knowledge. In an extensive study, Bettina Heintz (Heintz 2000) proposed that the historical develo...
Maras, Katie; Gamble, Tim; Brosnan, Mark
2017-10-01
Previous research suggests impaired metacognitive monitoring and mathematics under-achievement in autism spectrum disorder. Within educational settings, metacognitive monitoring is supported through the provision of feedback (e.g. with goal reminders and by explicitly correcting errors). Given the strength of the relationship between metacognition, learning and educational attainment, this research tested new computer-based metacognitive support (the 'Maths Challenge') for mathematics learners with autism spectrum disorder within the context of their classroom. The Maths Challenge required learners to engage in metacognitive monitoring before and after answering each question (e.g. intentions and judgements of accuracy) and negotiate with the system the level of difficulty. Forty secondary school children with autism spectrum disorder and 95 typically developing learners completed the Maths Challenge in either a Feedback condition, with metacognitive monitoring support regarding the accuracy of their answers, goal reminders and strategy support, or with No Feedback. Contrary to previous findings, learners with autism showed an undiminished ability to detect errors. They did, however, demonstrate reduced cohesion between their pre- and post-test intentions. Crucially, support from the Feedback condition significantly improved task performance for both groups. Findings highlight important implications for educational interventions regarding the provision of metacognitive support for learners with autism to ameliorate under-performance in mathematics within the classroom.
Indian Academy of Sciences (India)
In this section of Resonance, we invite readers to pose questions likely to be raised in a classroom ... sharing personal experiences and viewpoints on matters related to teaching and learning ... Is there any well charaderised example of.
Indian Academy of Sciences (India)
"Classroom" is equally a forum for raising broader issues and sharing personal experiences and viewpoints on matters related to teaching and learning science. ! Quantum Theory of the Doppler Effed. Generally text books give only the wave ...
Indian Academy of Sciences (India)
"Classroom" is equally a foru11J. for raising broader issues and sharing personal experiences and viewpoints on matters related to teaching and learning science. Point Set Topological ... a new way of looking at this problem and we will prove.
Indian Academy of Sciences (India)
responses, or both. "Classroom" is equally a forum for raising broader issues and sharing personal experiences and viewpoints on matters related to teaching and learning science. ... I shall give the solution to the problem, along with relevant.
Indian Academy of Sciences (India)
in a classroom situation. We may suggest strategies for dealing with them, or invite responses, or both. ... research, could then both inject greater vigour into teaching of ... ture, forestry and fishery sciences, management of natural resources.
Indian Academy of Sciences (India)
responses, or both. "Classroom" is equally a forum for raising broader issues and .... Research Institute, Bangalore ... From Bohr's theory we can calculate v = (En - En -1) / h the ... important reason for the failure of the qualitative arguments. An.
Lee, Kyeonghwa; Sriraman, Bharath
2013-01-01
Eastern philosophies of education such as Confucianism and Taosim advocate the use of silence in the teacher-pupil tradition of pedagogy. We investigate contemporary classrooms in Korea, and study whether teachers in Korea today incorporate this method implicitly or explicitly in their classrooms. Empirical data in the form of video-taped…
Planning and Enacting Mathematical Tasks of High Cognitive Demand in the Primary Classroom
Georgius, Kelly
2013-01-01
This study offers an examination of two primary-grades teachers as they learn to transfer knowledge from professional development into their classrooms. I engaged in planning sessions with each teacher to help plan tasks of high cognitive demand, including anticipating and planning for classroom discourse that would occur around the task. A…
Total Quality Management in the Classroom: Applications to University-Level Mathematics.
Williams, Frank
1995-01-01
Describes a Total Quality Management-based system of instruction that is used in a variety of undergraduate mathematics courses. The courses that incorporate this approach include mathematics appreciation, introductory calculus, and advanced applied linear algebra. (DDR)
Fletcher, Nicole
2014-01-01
Mathematics curriculum designers and policy decision makers are beginning to recognize the importance of problem solving, even at the earliest stages of mathematics learning. The Common Core includes sense making and perseverance in solving problems in its standards for mathematical practice for students at all grade levels. Incorporating problem…
Unraveling the Culture of the Mathematics Classroom: A Video-Based Study in Sixth Grade
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…
Could Elementary Mathematics Textbooks Help Give Attention to Reasons in the Classroom?
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…
Baker, Dale
This study examined the effects of single-sex middle school science and mathematics classrooms with high minority enrollment on achievement, affect, peer, and teacher-student interactions. All students earned higher grades in mathematics than in science. Girls earned higher grades than boys. The higher grades of girls were not clearly attributable to the singlesex environment, and aspects of the single-sex environment interfered with boys' achievement. The single-sex environment contributed to girls', but not boys', feelings of empowerment, peer support, and positive self-concept. The curriculum and pedagogy were better suited to girls than to boys, leading to discipline problems and hostile interactions. However, boys were more engaged in technology-based activities than girls. Overall, all-boy classes were less supportive learning environments than all-girl classes. Although the results replicate findings elsewhere, this is the only study to look at minority students in middle school.
Liu, Chen-Chung; Chou, Chien-Chia; Liu, Baw-Jhiune; Yang, Jui-Wen
2006-01-01
Hard of hearing students usually face more difficulties at school than other students. A classroom environment with wireless technology was implemented to explore whether wireless technology could enhance mathematics learning and teaching activities for a hearing teacher and her 7 hard of hearing students in a Taiwan junior high school. Experiments showed that the highly interactive communication through the wireless network increased student participation in learning activities. Students demonstrated more responses to the teacher and fewer distraction behaviors. Fewer mistakes were made in in-class course work because Tablet PCs provided students scaffolds. Students stated that the environment with wireless technology was desirable and said that they hoped to continue using the environment to learn mathematics.
Isaacson, M.D.; Srinivasan, S.; Lloyd, L.L.
2012-01-01
Mathematics has the potential for being spoken ambiguously. This is problematic for many students, in particular those who have disabilities that inhibit processing of printed material. This paper documents the magnitude of potential ambiguity arising from textbooks and provides a measure of the degree to which potential ambiguity is actualized…
Indian Academy of Sciences (India)
CLASSROOM. Figure 1. An antibubble photographed with a white backdrop. contrast to the case of soap bubbles,. Soap bubbles float in air and descend due to gravity on account of higher density of the soap solution, while antibubbles rise due to buoyancy of the air film and float just below the surface of the soap solution.
Teachers’ beliefs about the discipline of mathematics and the use of technology in the classroom
DEFF Research Database (Denmark)
Misfeldt, Morten; Thomas Jankvist, Uffe; Sánchez Arguilar, Mario
2016-01-01
In the article, three Danish secondary level mathematics teachers’ beliefs about the use of technological tools in the teaching of mathematics and their beliefs about mathematics as a scientific discipline are identified and classified - and the process also aspects of their beliefs about...... the teaching and learning of mathematics. The potential relationships between these sets of beliefs are also explored. Results show that the teachers not only manifest different beliefs about the use of technology and mathematics as a discipline, but that one set of beliefs can influence the other set...... of beliefs. The article concludes with a discussion of the research findings and their validity as well as their implications for both practice and research in mathematics education....
Patahuddin, Sitti Maesuri; Puteri, Indira; Lowrie, Tom; Logan, Tracy; Rika, Baiq
2018-04-01
This study examined student mathematical engagement through the intended and enacted lessons taught by two teachers in two different middle schools in Indonesia. The intended lesson was developed using the ELPSA learning design to promote mathematical engagement. Based on the premise that students will react to the mathematical tasks in the forms of words and actions, the analysis focused on identifying the types of mathematical engagement promoted through the intended lesson and performed by students during the lesson. Using modified Watson's analytical tool (2007), students' engagement was captured from what the participants' did or said mathematically. We found that teachers' enacted practices had an influence on student mathematical engagement. The teacher who demonstrated content in explicit ways tended to limit the richness of the engagement; whereas the teacher who presented activities in an open-ended manner fostered engagement.
Using the Tower of Hanoi Puzzle to Infuse Your Mathematics Classroom with Computer Science Concepts
Marzocchi, Alison S.
2016-01-01
This article suggests that logic puzzles, such as the well-known Tower of Hanoi puzzle, can be used to introduce computer science concepts to mathematics students of all ages. Mathematics teachers introduce their students to computer science concepts that are enacted spontaneously and subconsciously throughout the solution to the Tower of Hanoi…
The Gap between Expectations and Reality: Integrating Computers into Mathematics Classrooms
Guven, Bulent; Cakiroglu, Unal; Akkan, Yasar
2009-01-01
As a result of dramatic changes in mathematics education around the world, in Turkey both elementary and secondary school mathematics curriculums have changed in the light of new demands since 2005. In order to perform the expected change in newly developed curriculum, computer should be integrated into learning and teaching process. Teachers'…
Piloting a Web-Based Homework System in Developmental Mathematics Classrooms
Dass, Wendi E.
2012-01-01
This Capstone project studied a pilot of the web-based homework system "Hawkes" in developmental mathematics classes at a mid-sized community college. The purpose of the study was to investigate how three instructors of developmental mathematics courses incorporated "Hawkes" in their classes, what obstacles they encountered,…
Differentiating Instruction through Multiple Intelligences in a Middle School Mathematics Classroom
Jones, Marcella
2017-01-01
Eighth grade students at a middle school in a southern state were required a mathematics pass rate of 67.6% to meet annual yearly progress (AYP). Black and Hispanic students performed below the required pass rate on state assessments; thus, the school did not make AYP from 2007-2010. In an attempt to address low test scores in mathematics, the…
Caring teaching practices in multiethnic mathematics classrooms: attending to health and well-being
Averill, Robin
2012-06-01
Factors that contribute to strong teacher-student relationships are vital to understand because of the influence these relationships have on achievement and motivation, particularly for minority group students. This article draws from a substantial quantity of empirical data, grounded in a wide theoretical and cultural base, regarding aspects of caring teacher practice to discuss mathematics teacher behaviours in relation to an existing model of health and well-being that encompasses cognitive, social, spiritual, and physical dimensions. Drawing from 100 Year 10 mathematics lesson observations involving six teachers and their classes across three urban schools, evidence emerged that for many indigenous (Māori), New Zealand Pacific, and New Zealand European students, caring teacher behaviours important for student engagement and achievement both include, and range beyond, traditional teaching practices. Examples include capitalising on student reactions and shared endeavours within the context of mathematics learning, expecting mathematical progress, showing respect for students and for their mathematics learning, being explicit about practice and expectations, incorporating one-to-one interactions, making opportunities within mathematics learning for sharing personal identities, and incorporating movement. This research illustrates how mathematics educators can attend to the specific and holistic mathematical learning needs of their students, including those often marginalised.
Howell, Tracey H.
2013-01-01
In an era of new standards and emerging accountability systems, an understanding of the supports needed to aid teachers and students in making necessary transitions in mathematics teaching and learning is critical. Given the established research base demonstrating the importance of justification and reasoning in students' mathematics learning and…
Modelling of and Conjecturing on a Soccer Ball in a Korean Eighth Grade Mathematics Classroom
Lee, Kyeong-Hwa
2011-01-01
The purpose of this article was to describe the task design and implementation of cultural artefacts in a mathematics lesson based on the integration of modelling and conjecturing perspectives. The conceived process of integrating a soccer ball into mathematics lessons via modelling- and conjecturing-based instruction was first detailed. Next, the…
Students' Perceptions of the Learning Environment and Attitudes in Game-Based Mathematics Classrooms
Afari, Ernest; Aldridge, Jill M.; Fraser, Barry J.; Khine, Myint Swe
2013-01-01
We investigated whether the introduction of games into college-level mathematics classes in the United Arab Emirates (UAE) was effective in terms of improving students' perceptions of the learning environment and their attitudes towards of mathematics. A pre-post design involved the administration of English and Arabic versions of two surveys (one…
Brady, Kathy
2012-01-01
This study examines the developing beliefs and practices of six beginning primary teachers. Their accounts reveal practices indicative of contemporary approaches to teaching and learning in mathematics. Additionally, a consistency appears to exist between the beliefs and practices of the beginning teachers, and the ideals for mathematics teaching…
Directory of Open Access Journals (Sweden)
Olga V. Shipulina
2013-01-01
Full Text Available The study explores how students, who had completed the AP calculus course, mathematized the optimal navigation real-life problem simulated in the Second Life Virtual Environment. The particular research interest was to investigate whether/how students’ empirical activity in VE influences the way of their mathematizing.
Infographics and Mathematics: A Mechanism for Effective Learning in the Classroom
Sudakov, Ivan; Bellsky, Thomas; Usenyuk, Svetlana; Polyakova, Victoria V.
2016-01-01
This work discusses the creation and use of infographics in an undergraduate mathematics course. Infographics are a visualization of information that combines data, formulas, and images. This article discusses how to form an infographic and uses infographics on topics within mathematics and climate as examples. It concludes with survey data from…
Exploring mathematics outside the classroom with the help of GPS-enabled mobile phone application
Cahyono, A. N.; Ludwig, M.
2018-03-01
The aim of the study is to explore the potential of the mobile app-supported math trail program in promoting students’ intrinsic motivation for the engagement in mathematics and the opportunities of mathematical outdoor activity in particular. Explorative design research was conducted on nine secondary schools in the city of Semarang, Indonesia, with 272 students and nine teachers. Data were gathered using participatory observation, interviews, questionnaires, and student worksheets. The findings indicate that students were highly intrinsically motivated to be involved in mathematics learning. They found it easy to engage in the activities and gain relevant mathematical experiences. Students indicated they learned to use advanced technology for outdoor activity and to do the mathematization. The study suggests that school and public can take advantage of the result of this study. Further research in other places is needed to exploit its potential and future development.
Expectancy violation in physics and mathematics classes in a student-centered classroom
Alvarado, Carolina; Dominguez, Angeles; Rodriguez, Ruth; Zavala, Genaro
2012-02-01
This report analyzes the results of the implementation at a large private Mexican university of the Pedagogical Expectancy Violation Assessment (PEVA), developed by Gaffney, Gaffney and Beichner [1]. The PEVA was designed to evaluate shifts of the first student's expectations due to the initial orientation and experiences in the classroom. The data was collected at the Student-Centered Learning (ACE) classroom, based on the Student Centered Active Learning Environment for Undergraduate Programs (SCALE-UP) classroom. Three professors participated with their groups during the first semester they implemented their courses in this environment. Participants were enrolled either in a Pre-Calculus, Differential Equations, or Electricity and Magnetism course. The results indicate shifts in students' expectations during the semester and reveals differences in shifts among the different courses.
TEXT GENRES AND MATHEMATICS: A POSSIBLE RELATIONSHIP IN THE CONTEXT OF THE CLASSROOM
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Cidinéia da Costa Luvison
2012-12-01
Full Text Available The article refers to research that investigates how mathematical knowledge - explored in the context of reading and writing in game situations from the perspective of problem solving - are mobilized and (re signified by students from a 5 grade of elementary school. In a reading, writing and problem-solving environment with games, students make use of mathematical language and concepts, when they are elucidated through an investigation context, in which inference, dialogism and the reader-author relationship help constitute and develop every individual who reads, communicates and (resignifies mathematical knowledge while writing.
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David Preiss
2011-11-01
Full Text Available Este estudio tuvo por objetivo explorar la naturaleza de los procesos de pensamiento matemático presentes en el discurso de profesoras y profesores que enseñan en el segundo ciclo de educación básica de escuelas públicas en Chile. Se codificaron 77 videos de clases de profesores participantes en el Sistema de Evaluación Nacional Docente del Gobierno de Chile, en base a una rúbrica que distinguía 4 formas de pensamiento matemático: resolución mecánica de problemas, resolución razonada de problemas, presentación mecánica de la información y presentación razonada de la información. Se realizaron análisis descriptivos y análisis multivariados de varianza. Los resultados evidencian que el pensamiento matemático docente está focalizado en la presentación mecánica de información y la resolución mecánica de problemas. Los profesores que enseñan en 5° y 6° grado dedican significativamente menos tiempo a resolución de problemas que los profesores que enseñan en 7° y 8° grado. Los resultados son coherentes con evidencia proveniente de otros estudios que muestran la adherencia de los profesores chilenos a una pedagogía intuitiva externalista, centrada en la práctica repetida de procedimientos.The goal of this study was to explore the nature of the processes of mathematical thinking evidenced in the discourse of teachers working at Chilean middle-school level public schools. Seventy seven classroom videos filmed as a part of the Chilean Government National Teaching Assessment System were coded according to a rubric that distinguished 4 forms of mathematical thinking: mechanic problem solving, reasoned problem solving, mechanic information presentation, and reasoned information presentation. Descriptive analysis and multivariate analyses of variance were performed. The results evidence that teachers' mathematical thinking is focused on mechanic information presentation and mechanic problem solving. Teachers working in 5th
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Melike TURAL SÖNMEZ
2017-12-01
Full Text Available The purpose of this study is to examine the construction of mathematical modelling problems process in the content of financial literacy. It is also aimed to create design proposals for construction of mathematical modelling problems. A design based research method was used in this study. The participants were three seventh grade students, six finance experts and nine mathematics education experts. Data collection tools were transcription of video and tapes group discussions, presentations and worksheets during mathematical modelling activities, and participant experts’ feedback form about mathematical modelling problems. There were three stages in this study. First stage was application of preliminary study. This stage gave information about convenience of problems to grade level, students’ timing for solution of problems, clarity of problems and students’ background about content. In second stage, finance experts commented on convenience of mathematical modelling problems to financial literacy standards. In third stage, mathematics education experts commented on convenience of problems to students’ grade level, mathematical modelling principles and seventh grade mathematics lesson objectives. They also gave suggestion on progress. The frequency value of theme in feedback forms was calculated and experts’ expressions were given as citation. It was given suggestion about stages and application of the design guide
Bowen, Bradley; Marx, Adam; Williams, Thomas; Napoleon, Larry, Jr.
2017-01-01
Teacher retention in the STEM fields is of national interest. Several factors, such as job satisfaction, classroom control, and school influence have been linked to teachers leaving the profession. By statistically analyzing various questions from the Schools and Staffing Survey Teacher Questionnaire, this study evaluated the current state of how…
Zijlstra, H.; Wubbels, T.; Brekelmans, M.; Koomen, H.M.Y.
2013-01-01
This study analyzed children's generalized perceptions of teacher interpersonal behavior in terms of two dimensions, control and affiliation, referring to the degree of teacher leadership/management and teacher friendliness/cooperation in the classroom, respectively. An adapted version of the
Elementary Girls' Attitudes toward Mathematics in Mixed-Gender and Single-Gender Classrooms
Tichenor, Mercedes; Welsh, Alyssa; Corcoran, Carol; Piechura, Kathy; Heins, Elizabeth
2016-01-01
By the time girls are second graders, they may be exhibiting negative attitudes toward math (Cvencek, Meltzoff, & Greenwald, 2011). McFarland, Benson and McFarland (2011) examined girls' math achievement in single-gender and mixed-gender classrooms and suggest that single-gendered formats can help females. In this study, we compare the math…
Bottge, Brian A.; Heinrichs, Mary; Mehta, Zara Dee; Rueda, Enrique; Hung, Ya-Hui; Danneker, Jeanne
2004-01-01
This study compared two approaches for teaching sixth-grade middle school students to solve math problems in math, technology education, and special education classrooms. A total of 17 students with disabilities and 76 students without disabilities were taught using either enhanced anchored instruction (EAI) or text-based instruction coupled with…
Chan, Man Ching Esther; Clarke, David; Cao, Yiming
2018-01-01
Interactive problem solving and learning are priorities in contemporary education, but these complex processes have proved difficult to research. This project addresses the question "How do we optimise social interaction for the promotion of learning in a mathematics classroom?" Employing the logic of multi-theoretic research design,…
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Verona Leendertz
2013-12-01
Full Text Available This article reports on a secondary data analysis conducted on the South African mathematics teachers’ dataset of the Second Information Technology in Education Study (SITES 2006. The sample consisted of a stratified sample of 640 mathematics teachers from 504 randomly selected computer-using and non–computer-using schools that completed the SITES 2006 teachers’ questionnaire, which investigated their pedagogical use of Information Communication Technology (ICT. The purpose of the current investigation was to investigate the level of Technological Pedagogical Content Knowledge (TPACK of mathematics teachers, and how TPACK attributes contribute towards more effective Grade 8 mathematics teaching in South African schools, using the TPACK conceptual framework. The findings are presented according to the three clusters identified through the association between the main variables of the TPACK model and other variables on the SITES 2006 teachers’ questionnaire: (1 impact of ICT use, (2 teacher practices and (3 barriers. A Cramér V of between 0.3 and 0.4 was considered to signal a medium effect that tended towards practically significant association, and a Cramér V of 0.4 or larger was considered to signal a large effect with practically significant association. The results indicate that the TPACK of mathematics teachers contributes towards more effective Grade 8 mathematics teaching in South African schools.
Point-driven Mathematics Teaching. Studying and Intervening in Danish Classrooms
DEFF Research Database (Denmark)
Mogensen, Arne
secondary schools emphasize such points in their teaching. Thus, 50 randomly selected mathematics teachers are filmed in one grade 8 math lesson and the dialogue investigated. The study identifies large variations and many influential components. There seems to be room for improvement. In order to examine...... possibilities to strengthen the presence and role of mathematical points in teaching two intervention studies are conducted. First a focus group of 5 of the original 50 teachers from each school are offered peer coaching by the researcher. This study indicates that different teachers appreciate peer coaching...... be supported in significant changes to a point-oriented mathematics teaching. The teachers emphasized joint planning of study lessons, and they regarded the peer coaching after each of these lessons as valuable. The studies with the two teacher groups indicate different opportunities and challenges...
Herbert, B. E.; Miller, H. R.; Loving, C. L.; Pedersen, S.
2006-12-01
Professional Learning Community Model for Alternative Pathways (PLC-MAP) is a partnership of North Harris Montgomery Community Colleges, Texas A&M University, and 11 urban, suburban, and rural school districts in the Greater Houston area focused on developing a professional learning community that increases the retention and quality of middle and high school mathematics and science teachers who are being certified through the NHMCCD Alternative Certification Program. Improved quality in teaching refers to increased use of effective inquiry teaching strategies, including information technology where appropriate, that engage students to ask worthy scientific questions and to reason, judge, explain, defend, argue, reflect, revise, and/or disseminate findings. Novice teachers learning to adapt or designing authentic inquiry in their classrooms face two enormous problems. First, there are important issues surrounding the required knowledgebase, habit of mind, and pedagogical content knowledge of the teachers that impact the quality of their lesson plans and instructional sequences. Second, many ACP intern teachers teach under challenging conditions with limited resources, which impacts their ability to implement authentic inquiry in the classroom. Members of our professional learning community, including scientists, mathematicians and master teachers, supports novice teachers as they design lesson plans that engage their students in authentic inquiry. The purpose of this research was to determine factors that contribute to success or barriers that prevent ACP secondary science intern and induction year teachers from gaining knowledge and engaging in classroom inquiry as a result of an innovative professional development experience. A multi-case study design was used for this research. We adopted a two-tail design where cases from both extremes (good and poor gains) were deliberately chosen. Six science teachers were selected from a total of 40+ mathematics and science
Eringen, A Cemal
2013-01-01
Continuum Physics: Volume 1 - Mathematics is a collection of papers that discusses certain selected mathematical methods used in the study of continuum physics. Papers in this collection deal with developments in mathematics in continuum physics and its applications such as, group theory functional analysis, theory of invariants, and stochastic processes. Part I explains tensor analysis, including the geometry of subspaces and the geometry of Finsler. Part II discusses group theory, which also covers lattices, morphisms, and crystallographic groups. Part III reviews the theory of invariants th
Elementary Teachers' Perceptions of Mathematics Instruction in Montessori and Traditional Classrooms
Kofa, Linda
2017-01-01
Students in grades 3 and 4 attending a traditional public elementary school in a northeastern state did not meet proficiency levels in mathematics as measured by the state's assessment system. Published reports indicated that students attending the Montessori programs were more proficient in solving math problems compared to students in…
Freeman, Barbara
2012-01-01
This study examined the question, "What is the impact of a digital math intervention on secondary ELL students' mathematical capabilities and perceptions of their future possibilities?" The hypothesis was that through its direct effect on increasing students' math ability and its indirect effect on increasing students' perceived math…
Technology-Supported Mathematics Environments: Telecollaboration in a Secondary Statistics Classroom
Staley, John; Moyer-Packenham, Patricia; Lynch, Monique C.
2005-01-01
The Internet, an exciting and radically different medium infiltrating pop culture, business, and education, is also a powerful educational tool with teaching and learning potential for mathematics. Web-based instructional tools allow students and teachers to actively and interactively participate in the learning process (Lynch, Moyer, Frye & Suh,…
Megowan-Romanowicz, M. Colleen; Middleton, James A.; Ganesh, Tirupalavanam; Joanou, Jamie
2013-01-01
In this article we examine how students engage in learning mathematical concepts in the middle grades of an urban public school in the Southwestern United States. In the context of a 3-year National Science Foundation-funded longitudinal study of the development of students' rational number understanding, we encountered differing levels of…
Students' Views on Mathematics in Single-Sex and Coed Classrooms in Ghana
Bofah, Emmanuel Adu-tutu; Hannula, Markku S.
2016-01-01
In this study, we investigated students' views on themselves as learners of mathematics as a function of school-by-sex (N = 2034, MAge = 18.49, SDAge = 1.25; 12th-grade; 58.2% girls). Using latent variable Structural Equation Modeling (SEM), the measurement and structural equivalence as well as the equality of latent means of scores across…
Employing Genetic "Moments" in the History of Mathematics in Classroom Activities
Farmaki, Vassiliki; Paschos, Theodorus
2007-01-01
The integration of history into educational practice can lead to the development of activities through the use of genetic "moments" in the history of mathematics. In the present paper, we utilize Oresme's genetic ideas--developed during the fourteenth century, including ideas on the velocity-time graphical representation as well as geometric…
Measuring Practices of Teaching for Social Justice in Elementary Mathematics Classrooms
Reagan, Emilie Mitescu; Pedulla, Joseph J.; Jong, Cindy; Cannady, Mac; Cochran-Smith, Marilyn
2011-01-01
This study used the Teaching for Social Justice Observation Scale (TSJOS) of the Reformed Teaching Observation Protocol-Plus (RTOP+) to examine the extent to which twenty-two novice elementary teachers implemented practices related to teaching for social justice in their mathematics instruction. In addition, this study sought to examine the extent…
Cooperative Learning in the Advanced Algebra and Trigonometry Mathematics High School Classroom
Jozsa, Alison
2017-01-01
Over the past three decades, researchers have found cooperative learning to have positive effects on student achievement in various subject areas and levels in education. However, there are limited studies on the impact of cooperative learning on student achievement in the area of high school mathematics. This study examined the impact of…
Rutherford, Vanessa
2012-01-01
This study explores how a problem-solving based professional learning community (PLC) affects the beliefs, knowledge, and instructional practices of two sixth-grade mathematics teachers. An interview and two observations were conducted prior to beginning the year-long PLC in order to gather information about the participants' beliefs,…
Learning from Children: Mathematics from a Classroom Perspective. ACER Research Monograph No. 52.
Doig, Brian; Lokan, Jan
This volume has been assembled to show what can be learned about learning from large groups of children's responses to well-constructed assessment questions. The wide range of information gathered through the Basic Skills Testing Program (BSTP) has been divided into chapters that focus either on key aspects of mathematics or the major concerns of…
Barnett, Janet Heine; Lodder, Jerry; Pengelley, David
2014-01-01
We analyze our method of teaching with primary historical sources within the context of theoretical frameworks for the role of history in teaching mathematics developed by Barbin, Fried, Jahnke, Jankvist, and Kjeldsen and Blomhøj, and more generally from the perspective of Sfard's theory of learning as communication. We present case studies…
Bahr, Damon; Monroe, Eula E.; Shaha, Steven H.
2013-01-01
The purpose of this study was to compare changes in beliefs of two groups of preservice teachers involved in two types of opportunities to immediately apply methods for teaching accompanying an elementary mathematics methods course. Students in one group applied the methods learned in class through weekly 30-minute peer-teaching sessions, while…
Krummheuer, Gotz
2007-01-01
The main assumption of this article is that learning mathematics depends on the student's participation in processes of collective argumentation. On the empirical level, such processes will be analyzed with Toulmin's theory of argumentation and Goffman's idea of decomposition of the speaker's role. On the theoretical level, different statuses of…
Adapting the Academic Motivation Scale for Use in Pre-Tertiary Mathematics Classrooms
Lim, Siew Yee; Chapman, Elaine
2015-01-01
The Academic Motivation Scale (AMS) is a comprehensive and widely used instrument for assessing motivation based on the self-determination theory. Currently, no such comprehensive instrument exists to assess the different domains of motivation (stipulated by the self-determination theory) in mathematics education at the pre-tertiary level (grades…
Valoyes-Chávez, Luz; Martin, Danny Bernard
2016-01-01
We give attention to the racial contexts of mathematics education in Colombia and the USA. We discuss the particularities of these contexts but also explore the how in both contexts Blackness and Black people are relegated to the lower rungs of the social order. In offering this comparative analysis, we call for expanded research on race, racism,…
Chan, Man Ching Esther; Clarke, David; Cao, Yiming
2018-03-01
Interactive problem solving and learning are priorities in contemporary education, but these complex processes have proved difficult to research. This project addresses the question "How do we optimise social interaction for the promotion of learning in a mathematics classroom?" Employing the logic of multi-theoretic research design, this project uses the newly built Science of Learning Research Classroom (ARC-SR120300015) at The University of Melbourne and equivalent facilities in China to investigate classroom learning and social interactions, focusing on collaborative small group problem solving as a way to make the social aspects of learning visible. In Australia and China, intact classes of local year 7 students with their usual teacher will be brought into the research classroom facilities with built-in video cameras and audio recording equipment to participate in purposefully designed activities in mathematics. The students will undertake a sequence of tasks in the social units of individual, pair, small group (typically four students) and whole class. The conditions for student collaborative problem solving and learning will be manipulated so that student and teacher contributions to that learning process can be distinguished. Parallel and comparative analyses will identify culture-specific interactive patterns and provide the basis for hypotheses about the learning characteristics underlying collaborative problem solving performance documented in the research classrooms in each country. The ultimate goals of the project are to generate, develop and test more sophisticated hypotheses for the optimisation of social interaction in the mathematics classroom in the interest of improving learning and, particularly, student collaborative problem solving.
Adapting the academic motivation scale for use in pre-tertiary mathematics classrooms
Lim, Siew Yee; Chapman, Elaine
2015-09-01
The Academic Motivation Scale ( ams) is a comprehensive and widely used instrument for assessing motivation based on the self-determination theory. Currently, no such comprehensive instrument exists to assess the different domains of motivation (stipulated by the self-determination theory) in mathematics education at the pre-tertiary level (grades 11 and 12) in Asia. This study adapted the ams for this use and assessed the properties of the adapted instrument with 1610 students from Singapore. Exploratory and confirmatory factor analyses indicated a five-factor structure for the modified instrument (the three original ams intrinsic subscales collapsed into a single factor). Additionally, the modified instrument exhibited good internal consistency (mean α = .88), and satisfactory test-retest reliability over a 1-month interval (mean r xx = .73). The validity of the modified ams was further demonstrated through correlational analyses among scores on its subscales, and with scores on other instruments measuring mathematics attitudes, anxiety and achievement.
Geoplano in the teaching of mathematics: Perspectives and some aspects of its use in the classroom
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Dailson Evangelista Costa
2011-06-01
Full Text Available This article presents one of the researches carried out by the UFT Institutional Scholarship Program of Initiation to Teaching (PIBID. The topic addressed is about the teaching of plane geometry through Geoplano. We defend in this article, the idea that the teaching of mathematics using concrete or manipulatives materials becomes a possibility for the teaching. The Geoplano enables students to develop a better visual perception of geometric shapes facilitating the construction of certain problem situations, prompting students to investigate them, to solve them, and to engage in them constantly in the process. The perspective of the development of these activities is that one does not need to introduce a theme starting from the theory, but also from certain practical problems. In this sense, besides turning the teaching of math more "fun", such perspective will provide the learner the opportunity to experience situations different from the usual "boring lectures" thus contributing to the learning of mathematical knowledge. The proposal is to use the Rectangle Geoplano for teaching mathematical content creating new scenarios in the school environment, prioritizing research. We highlight some results obtained with the application of Geoplano in a public school, and the motivation that students showed in their use in math classes
Popovic, Gorjana; Lederman, Judith S.
2015-01-01
The Common Core Standard for Mathematical Practice 4: Model with Mathematics specifies that mathematically proficient students are able to make connections between school mathematics and its applications to solving real-world problems. Hence, mathematics teachers are expected to incorporate connections between mathematical concepts they teach and…
Demystifying the myth of the homogeneous class: paths of an inclusive classroom
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Mário Rui Domingues Ferreira da Cruz
2010-06-01
Full Text Available In this article, we aim to rethink the classroom and its organization with a view to promote significant changes towards inclusion. In this way, we chose to analyze the process of teaching and learning regarding one class of the seventh grade at a secondary school in Oporto (Portugal, in which we taught English as a Foreign Language (EFL. This article is divided into 3 main parts that refer to different but articulate themes, namely: rethinking compulsory education for inclusion, attention to diversity in the teaching-learning process and also the teaching process learning and effective management of teaching time.
Energy Technology Data Exchange (ETDEWEB)
1993-12-01
This teacher education program will provide a model for recruiting, educating and retaining high ability students to become mathematics and science lead teachers in elementary schools. The quality experiences and support provided these students will help them develop the knowledge and attitudes necessary to provide leadership for elementary mathematics and science programs. Students will have research experiences at the Ames Laboratory, high quality field experiences with nationally recognized mathematics and science teachers in local schools and opportunities to meaningfully connect these two experiences. This program, collaboratively designed and implemented by scientists, teacher educators and classroom teachers, should provide a replicatable model for other teacher education institutions. In addition, materials developed for the project should help other laboratories interface more effectively with K-8 schools and help other teacher education programs incorporate real science and mathematics experience into their curriculum.
Stein, Sherman K
2010-01-01
Anyone can appreciate the beauty, depth, and vitality of mathematics with the help of this highly readable text, specially developed from a college course designed to appeal to students in a variety of fields. Readers with little mathematical background are exposed to a broad range of subjects chosen from number theory, topology, set theory, geometry, algebra, and analysis. Starting with a survey of questions on weight, the text discusses the primes, the fundamental theorem of arithmetic, rationals and irrationals, tiling, tiling and electricity, probability, infinite sets, and many other topi
Students' views on mathematics in single-sex and coed classrooms in Ghana
Bofah, Emmanuel Adu-Tutu; Hannula, Markku S.
2016-01-01
In this study, we investigated students’ views on themselves as learners of mathematics as a function of school-by-sex (N = 2034, MAge = 18.49, SDAge = 1.25; 12th-grade; 58.2% girls). Using latent variable Structural Equation Modeling (SEM), the measurement and structural equivalence as well as the equality of latent means of scores across single-sex and coed schools were tested. Findings regarding the latent mean differences revealed that girls in single-sex schools had significantly higher ...
Introducing discussion into multilingual mathematics classrooms: An issue of code switching?
Directory of Open Access Journals (Sweden)
Lyn Webb
2008-10-01
Full Text Available The Department of Education in South Africa advocates collaborative and constructivist learning; however, observations indicate that little discussion occurs in most multilingual mathematics classes. In this paper we draw on a pilot study set in the Eastern Cape where teachers were introduced to the theory and practice of exploratory talk, and then tasked to perform an action research project on introducing discussion in their own multilingual mathematics classrooms. The results of the study suggest some successes in terms of teachers initiating exploratory talk and highlight the fact that these successes were only achieved where code switching between English and isiXhosa formed an integral part of the process.
International Nuclear Information System (INIS)
Demazure, M.
1988-01-01
The 1988 progress report of the Mathematics center (Polytechnic School, France), is presented. The Center is composed of different research teams: analysis, Riemann geometry, group theory, formal calculus and algorithm geometry, dynamical systems, topology and singularity. For each team, the members, the research topics, the national and international cooperations, are given. The papers concerning the investigations carried out in 1988, are listed [fr
Mattis, Kristina V.
2015-01-01
Flipped classrooms are an instructional technology trend mostly incorporated in higher education settings, with growing prominence in high school and middle school (Tucker in Leveraging the power of technology to create student-centered classrooms. Corwin, Thousand Oaks, 2012). Flipped classrooms are meant to effectively combine traditional and…
Lo, Chung Kwan; Hew, Khe Foon
2017-01-01
Flipping the classroom is a current pedagogical innovation in many schools and universities. Although interest in flipped classroom (or Inverted Classroom) continues to grow, its implementation so far has been driven more by teachers' intuitive beliefs, rather than empirically-based principles. Many studies merely replace in-class instructions…
Swars, Susan Lee
2015-01-01
This mixed methods study examined the mathematical preparation of elementary teachers in a Teach for America (TFA) program, focal participants for whom there is scant extant research. Data collection occurred before and after a university mathematics methods course, with a particular focus on the participants' (n = 22) mathematical beliefs,…
Stigler, James W.; Gonzales, Patrick; Kwanaka, Takako; Knoll, Steffen; Serrano, Ana
This report presents the methods and preliminary findings of the Videotape Classroom Study, a video study of eighth-grade mathematics lessons in Germany, Japan, and the United States. This exploratory research project is part of the Third International Mathematics and Science Study (TIMSS). The study included 231 eighth-grade mathematics…
Bills, Liz; Husbands, Chris
2005-01-01
The issue of values has been a longstanding concern of mathematics education research. Attempts have been made to analyze the specifically mathematical values which characterize the practice of mathematics teachers. In this paper we draw on one teacher's articulation of her practice to explore values issues in the teaching of mathematics, drawing…
Morsanyi, Kinga; Busdraghi, Chiara; Primi, Caterina
2014-09-01
When asked to solve mathematical problems, some people experience anxiety and threat, which can lead to impaired mathematical performance (Curr Dir Psychol Sci 11:181-185, 2002). The present studies investigated the link between mathematical anxiety and performance on the cognitive reflection test (CRT; J Econ Perspect 19:25-42, 2005). The CRT is a measure of a person's ability to resist intuitive response tendencies, and it correlates strongly with important real-life outcomes, such as time preferences, risk-taking, and rational thinking. In Experiments 1 and 2 the relationships between maths anxiety, mathematical knowledge/mathematical achievement, test anxiety and cognitive reflection were analysed using mediation analyses. Experiment 3 included a manipulation of working memory load. The effects of anxiety and working memory load were analysed using ANOVAs. Our experiments with university students (Experiments 1 and 3) and secondary school students (Experiment 2) demonstrated that mathematical anxiety was a significant predictor of cognitive reflection, even after controlling for the effects of general mathematical knowledge (in Experiment 1), school mathematical achievement (in Experiment 2) and test anxiety (in Experiments 1-3). Furthermore, Experiment 3 showed that mathematical anxiety and burdening working memory resources with a secondary task had similar effects on cognitive reflection. Given earlier findings that showed a close link between cognitive reflection, unbiased decisions and rationality, our results suggest that mathematical anxiety might be negatively related to individuals' ability to make advantageous choices and good decisions.
2014-01-01
Background When asked to solve mathematical problems, some people experience anxiety and threat, which can lead to impaired mathematical performance (Curr Dir Psychol Sci 11:181–185, 2002). The present studies investigated the link between mathematical anxiety and performance on the cognitive reflection test (CRT; J Econ Perspect 19:25–42, 2005). The CRT is a measure of a person’s ability to resist intuitive response tendencies, and it correlates strongly with important real-life outcomes, such as time preferences, risk-taking, and rational thinking. Methods In Experiments 1 and 2 the relationships between maths anxiety, mathematical knowledge/mathematical achievement, test anxiety and cognitive reflection were analysed using mediation analyses. Experiment 3 included a manipulation of working memory load. The effects of anxiety and working memory load were analysed using ANOVAs. Results Our experiments with university students (Experiments 1 and 3) and secondary school students (Experiment 2) demonstrated that mathematical anxiety was a significant predictor of cognitive reflection, even after controlling for the effects of general mathematical knowledge (in Experiment 1), school mathematical achievement (in Experiment 2) and test anxiety (in Experiments 1–3). Furthermore, Experiment 3 showed that mathematical anxiety and burdening working memory resources with a secondary task had similar effects on cognitive reflection. Conclusions Given earlier findings that showed a close link between cognitive reflection, unbiased decisions and rationality, our results suggest that mathematical anxiety might be negatively related to individuals’ ability to make advantageous choices and good decisions. PMID:25179230
Langer-Osuna, Jennifer
2015-03-01
This paper draws on the constructs of hybridity, figured worlds, and cultural capital to examine how a group of African-American students in a technology-driven, project-based algebra classroom utilized the computer as a resource to coordinate personal and mathematical positional identities during group work. Analyses of several vignettes of small group dynamics highlight how hybridity was established as the students engaged in multiple on-task and off-task computer-based activities, each of which drew on different lived experiences and forms of cultural capital. The paper ends with a discussion on how classrooms that make use of student-led collaborative work, and where students are afforded autonomy, have the potential to support the academic engagement of students from historically marginalized communities.
Hodgson, Theodore R.; Cunningham, Abby; McGee, Daniel; Kinne, Lenore J.; Murphy, Teri J.
2017-01-01
There is a growing evidence that flipped classrooms are associated with increased levels of student engagement, as compared to engagement in "traditional" settings. Much of this research, however, occurs in post-secondary classrooms and is based upon self-reported engagement data. This study seeks to extend existing flipped classroom…
Dorman, Jeffrey P.; Ferguson, Janet M.
2004-01-01
Research investigating the relationship between classroom environment and self-handicapping was conducted in Australian and Canadian high schools. A sample of 2,006 students responded to a questionnaire that assessed student perceptions of classroom environment and self-handicapping. Simple and multiple correlational analyses showed that classroom…
Marshall, Jeff C.; Horton, Bob; Smart, Julie
2009-01-01
After decades of research endorsing inquiry-based learning, at best only moderate success has been noted in creating effective systemic implementation in K-12 classrooms. Thus, teachers need to be better equipped in how to bring this transformation to their own classrooms. Changing beliefs and overcoming external obstacles encourages the use of…
Patahuddin, Sitti Maesuri; Puteri, Indira; Lowrie, Tom; Logan, Tracy; Rika, Baiq
2018-01-01
This study examined student mathematical engagement through the intended and enacted lessons taught by two teachers in two different middle schools in Indonesia. The intended lesson was developed using the ELPSA learning design to promote mathematical engagement. Based on the premise that students will react to the mathematical tasks in the forms…
Math in Motion: Origami in the Classroom. A Hands-On Creative Approach to Teaching Mathematics. K-8.
Pearl, Barbara
This perfect bound teacher's guide presents techniques and activities to teach mathematics using origami paper folding. Part 1 includes a history of origami, mathematics and origami, and careers using mathematics. Parts 2 and 3 introduce paper-folding concepts and teaching techniques and include suggestions for low-budget paper resources. Part 4…
Fang, Chung-Chieh
The purpose of this qualitative case study was to examine urban high school mathematics teachers' perceptions of how they manage their own and their students' emotional intelligence (EI) to facilitate instruction and learning; their reports of how they handle their emotions as urban mathematics teachers; and their reports of how they manage the emotions of their students. The study focused on the voices of sixteen urban mathematics teachers and was undertaken in reaction to the significant mathematics achievement gap between urban students and their suburban counterparts. The conceptual framework undergirding the study was synthesized work by Daniel Goleman, (1995) and Mayer and Salovey (1997); categorizing emotional intelligence in emotional selfawareness, managing emotions, harnessing emotions, empathy, and handling relationships. Research questions addressing each category were created and from these categories an interview guide was developed. Data gathered during individual teacher interviews was transcribed and sorted into emergent categories using open coding. The findings were organized and presented according to the study's research questions. Urban math teachers reported passion for their students, their feelings affect teaching and learning, and that humor is an important tool in mediating emotions. The study concludes with multiple recommendations for further research and practices. Future studies should compare teachers assuming paternal vs. mentor role when dealing with their students. The study can evaluate if either role has a significant impact in student teacher relationships. A recommendation for practice is for teachers to have professional development experiences focusing on the proper use of humor in the classroom. Humor used properly promotes a positive classroom environment. This is a skill that would be especially beneficial to urban teachers.
Non-intellectual predictors of achievement in mathematics
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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.
Overcoming Conditioned Helplessness in Mathematics.
Wieschenberg, Agnes Arvai
1994-01-01
A discussion of mathematics anxiety and learned helplessness in mathematics focuses on student failure and avoidance in college mathematics learning. It explores possible causes and suggests classroom activities to foster students' interest and success. (MSE)
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Mamokgethi Setati
2008-10-01
Full Text Available In this paper, we draw on a study conducted in Grade 11 classrooms to explore how the learners’ home languages can be used for teaching and learning mathematics in multilingual classrooms in South Africa. This report is part of a wider study that is still in progress. Based on an analysis of data collected through lesson observations in a Grade 11 class and learner interviews we argue for the deliberate, proactive and strategic use of the learners’ home languages as a transparent resource in the teaching and learning of mathematics in multilingual classrooms. Such use of the languages will ensure that learners gain access to mathematical knowledge without losing access to English, which many parents, teachers and learners presently see as a necessary condition for gaining access to social goods such as higher education and employment.
Corvo, Arthur Francis
Given the reality that active and competitive participation in the 21 st century requires American students to deepen their scientific and mathematical knowledge base, the National Research Council (NRC) proposed a new conceptual framework for K--12 science education. The framework consists of an integration of what the NRC report refers to as the three dimensions: scientific and engineering practices, crosscutting concepts, and core ideas in four disciplinary areas (physical, life and earth/spaces sciences, and engineering/technology). The Next Generation Science Standards (NGSS ), which are derived from this new framework, were released in April 2013 and have implications on teacher learning and development in Science, Technology, Engineering, and Mathematics (STEM). Given the NGSS's recent introduction, there is little research on how teachers can prepare for its release. To meet this research need, I implemented a self-study aimed at examining my teaching practices and classroom outcomes through the lens of the NRC's conceptual framework and the NGSS. The self-study employed design-based research (DBR) methods to investigate what happened in my secondary classroom when I designed, enacted, and reflected on units of study for my science, engineering, and mathematics classes. I utilized various best practices including Learning for Use (LfU) and Understanding by Design (UbD) models for instructional design, talk moves as a tool for promoting discourse, and modeling instruction for these designed units of study. The DBR strategy was chosen to promote reflective cycles, which are consistent with and in support of the self-study framework. A multiple case, mixed-methods approach was used for data collection and analysis. The findings in the study are reported by study phase in terms of unit planning, unit enactment, and unit reflection. The findings have implications for science teaching, teacher professional development, and teacher education.
Villarreal-Treviño, Maria Guadalupe; Villarreal-Lozano, Ricardo Jesus; Morales-Martinez, Guadalupe Elizabeth; Lopez-Ramirez, Ernesto Octavio; Flores-Moreno, Norma Esthela
2017-01-01
This study explored in a sample of 560 high level education students their judgment formation to perceived self-efficacy to solve mathematical tasks. Students had to read 36 experimental vignettes describing educative scenarios to learn mathematics. Each scenario presented four manipulated pieces of information (learning modality, task difficulty,…
Muir, Tracey; Geiger, Vince
2016-01-01
Teaching secondary mathematics has a number of challenges, including the expectations that teachers cover the prescribed curriculum, help students learn difficult concepts, prepare students for future studies, and, increasingly, that they do so incorporating digital technologies. This study investigates a teacher's, and his students', perceptions…
Nurhayati, Dian Mita; Hartono
2017-05-01
This study aims to determine whether there is a difference in the ability of understanding the concept of mathematics between students who use cooperative learning model Student Teams Achievement Division type with Realistic Mathematic Education approach and students who use regular learning in seventh grade SMPN 35 Pekanbaru. This study was quasi experiments with Posttest-only Control Design. The populations in this research were all the seventh grade students in one of state junior high school in Pekanbaru. The samples were a class that is used as the experimental class and one other as the control class. The process of sampling is using purposive sampling technique. Retrieval of data in this study using the documentation, observation sheets, and test. The test use t-test formula to determine whether there is a difference in student's understanding of mathematical concepts. Before the t-test, should be used to test the homogeneity and normality. Based in the analysis of these data with t0 = 2.9 there is a difference in student's understanding of mathematical concepts between experimental and control class. Percentage of students experimental class with score more than 65 was 76.9% and 56.4% of students control class. Thus be concluded, the ability of understanding mathematical concepts students who use the cooperative learning model type STAD with RME approach better than students using the regular learning. So that cooperative learning model type STAD with RME approach is well used in learning process.
Examining mathematics attitude in a TIMSS 2003 pilot research
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Kadijević Đorđe M.
2003-01-01
Full Text Available Apart from the data on test reliability, the psychometric features of the TIMSS variables are not officially available. It is therefore not clear whether the TIMSS findings capture real educational trends. Being concerned with mathematics attitude, the aim of this research was to determine the psychometric values of a mathematics attitude scale derived from a student questionnaire, and, if these are appropriate, to examine the relation of mathematics attitude to gender and mathematics achievement, and search for gender differences in the applied mathematics attitude indicators. By using a sample of 89 seventh-grade students involved in a TIMSS 2003 pilot research, it revealed the following findings: (a the representativity reliability, homogeneity and validity of the applied attitude scale were acceptable, (b attitude to mathematics was related to mathematics achievement, (c gender differences in mathematics attitude were not found and (d gender differences in the applied indicators were only present for the statement "I need to do well in mathematics to get into the faculty of my choice" where males expressed a higher agreement than females.
Cavanna, Jillian M.; Herbel-Eisenmann, Beth; Seah, Wee Tiong
2015-01-01
This article provides an exploratory case study that examines what one teacher indicated as unexpected as she worked to become more purposeful about her classroom discourse practices. We found that she highlighted three areas as being unexpected: (1) aspects of lesson enactment; (2) characteristics of student learning and (3) her own…
St. John, Michael M.; Babo, Gerard
2015-01-01
This study examined the influence of placement in a co-taught inclusive classroom on the academic achievement of general education students in grades 6-8 in a suburban New York school district on the 2014 New York State ELA and Mathematics Assessments. Propensity Score Matching (PSM) was utilized for sample selection in order to simulate a more…
Wang, Hui-Hui
Quality STEM education is the key in helping the United States maintain its lead in global competitiveness and in preparing for new economic and security challenges in the future. Policymakers and professional societies emphasize STEM education by legislating the addition of engineering standards to the existing science standards. On the other hand, the nature of the work of most STEM professionals requires people to actively apply STEM knowledge to make critical decisions. Therefore, using an integrated approach to teaching STEM in K-12 is expected. However, science teachers encounter numerous difficulties in adapting the new STEM integration reforms into their classrooms because of a lack of knowledge and experience. Therefore, high quality STEM integration professional development programs are an urgent necessity. In order to provide these high quality programs, it is important to understand teachers' perceptions and classroom practices regarding STEM integration. A multiple-case study was conducted with five secondary school science teachers in order to gain a better understanding of teachers' perceptions and classroom practices in using STEM integration. This study addresses the following research questions: 1) What are secondary school science teachers' practices of STEM integration? 2) What are secondary science teachers' overall perceptions of STEM integration? and 3) What is the connection between secondary science teachers' perceptions and understanding of STEM integration with their classroom practices? This research aims to explore teachers' perceptions and classroom practices in order to set up the baseline for STEM integration and also to determine STEM integration professional development best practices in science education. Findings from the study provide critical data for making informed decision about the direction for STEM integration in science education in K-12.
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Parinya S. Ngiamsunthorn
2014-04-01
Full Text Available There are concerns of developing effective pedagogical practices for teaching mathematics for engineering students as many engineering students experience difficulties in learning compulsory mathematics subjects in their first and second years of the degree. This paper aims to investigate the effectiveness of using a variety of teaching and learning approaches including lecture based learning, activity based learning, e-learning via learning management system (LMS and practice or tutorial session in mathematics subjects for engineering students. This study was carried out on 160 students who need to enroll three basic mathematics subjects (MTH101, MTH102 and MTH201 for an engineering degree during academic year 2011 – 2012. The students were divided into three groups according to their majors of study. The first two groups of students were given a combination of various teaching approaches for only one semester (either MTH102 or MTH201, while the last group was given a combination of various teaching approaches for two semesters (both MTH102 and MTH201. To evaluate the effectiveness of teaching and learning, examination results, questionnaires on attitude towards teaching and learning, and a formal university teaching evaluation by students were collected and analyzed. It is found that different students perceive mathematics contents from different teaching methods according to their preferred learning styles. Moreover, most students in all groups performed at least the same or better in their final subject (MTH201. However, there is an interesting finding that low proficiency students in earlier mathematics subjects who received a combination of various teaching approaches for two semesters can improve their examination results better than other groups, on average. This is also reflected from an increasing average score on teaching evaluation from this group of students about teaching techniques.
Examining classroom interactions related to difference in students' science achievement
Zady, Madelon F.; Portes, Pedro R.; Ochs, V. Dan
2003-01-01
The current study examines the cognitive supports that underlie achievement in science by using a cultural historical framework (L. S. Vygotsky (1934/1986), Thought and Language, MIT Press, Cambridge, MA.) and the activity setting (AS) construct (R. G. Tharp & R. Gallimore (1988), Rousing minds to life: Teaching, learning and schooling in social context, Cambridge University Press, Cambridge, MA.) with its five features: personnel, motivations, scripts, task demands, and beliefs. Observations were made of the classrooms of seventh-grade science students, 32 of whom had participated in a prior achievement-related parent-child interaction or home study (P. R. Portes, M. F. Zady, & R. M. Dunham (1998), Journal of Genetic Psychology, 159, 163-178). The results of a quantitative analysis of classroom interaction showed two features of the AS: personnel and scripts. The qualitative field analysis generated four emergent phenomena related to the features of the AS that appeared to influence student opportunity for conceptual development. The emergent phenomenon were science activities, the building of learning, meaning in lessons, and the conflict over control. Lastly, the results of the two-part classroom study were compared to those of the home science AS of high and low achievers. Mismatches in the AS features in the science classroom may constrain the opportunity to learn. Educational implications are discussed.
Carrejo, David; Robertson, William H.
2011-01-01
Computer-based mathematical modeling in physics is a process of constructing models of concepts and the relationships between them in the scientific characteristics of work. In this manner, computer-based modeling integrates the interactions of natural phenomenon through the use of models, which provide structure for theories and a base for…
Hu, Bi Ying; Quebec Fuentes, Sarah; Ma, Jingjing; Ye, Feiwei; Roberts, Sherron Killingsworth
2017-01-01
In China, the "2001 Kindergarten Education Guidelines (Trial)", or "New Outline", delineates what constitutes high-quality, developmentally appropriate practices in all early childhood education curriculum domains, including mathematics. The "New Outline" is known for advocating a child-centered, play-based approach…
Greenberg, Julie; Jacobs, Sandi
2009-01-01
As a follow up to National Council on Teacher Quality (NCTQ's) national studies of how well elementary teachers are prepared to teach reading and mathematics, NCTQ looks at preparation in both subjects in all undergraduate teacher preparation programs in New Mexico. This analysis evaluated New Mexico's eight undergraduate elementary teacher…
Prediger, Susanne; Erath, Kirstin
2014-01-01
How do students learn to explain? We take this exemplary research question for presenting two antagonist traditions in German mathematics education research and their synthesis in an ongoing video study. These two traditions are (1) the German Didaktik approach that can be characterized by its epistemologically sensitive analyses and…
Nolan, Kathleen T.
2016-01-01
School discursive practices produce and reproduce acceptable notions of the good mathematics teacher, thereby shaping identity and agency in becoming a teacher. In this paper, I draw on key aspects of Bourdieu's social field theory--his conceptual "thinking tools" and his reflexive sociology--to explore the relations and discourses of…
Rosales, Javier; Vicente, Santiago; Chamoso, Jose M.; Munez, David; Orrantia, Josetxu
2012-01-01
Word problem solving involves the construction of two different mental representations, namely, mathematical and situational. Although educational research in word problem solving has documented different kinds of instruction at these levels, less is known about how both representational levels are evoked during word problem solving in day-to-day…
Boakes, Norma J.
2009-01-01
Within the study of geometry in the middle school curriculum is the natural development of students' spatial visualization, the ability to visualize two- and three-dimensional objects. The national mathematics standards call specifically for the development of such skills through hands-on experiences. A commonly accepted method is through the…
Knapp, Michael S.
This review assembles what is known from studies and analyses of large-scale systemic reform initiatives aimed at mathematics and science education, especially those undertaken by state governments and the National Science Foundation. The review concentrates on qualitative investigations, which reveal whether and how these initiatives converge on…
Directory of Open Access Journals (Sweden)
R. A. Pertzborn
2005-01-01
Full Text Available In the past decade significant emphasis has been placed on increasing the involvement and influence of the professional scientific community in America's K-12 classrooms. The origins of this thrust have arisen from a variety of real and perceived crises occurring in America's K-12 classrooms. Projections for the nation's future workforce needs indicate an increased demand for science and technically literate workers, while fewer of the nation's students are pursuing advanced degrees in these academic areas of expertise. In an effort to address these issues and to impact the overall understanding and quality of science, math and technology education, several of the federal agencies have increasingly included a percentage of research funding devoted to the objective of improving the quality of kindergarten through Grade 12 (K-12, see Table 1 formal education and informal public outreach. To this end, NASA's Space Science Enterprise in particular has demonstrated a successful implementation approach and has been a national leader in forging strong partnerships with the education community to address these concerns.
Papanikolaou, M; Skenteris, N; Piperakis, S M
2015-02-01
The present study investigated the effect of low, medium, and high traffic road noise as well as irrelevant background speech noise on primary school children's reading and mathematical performance. A total of 676 participants (324 boys, 47.9% and 352 girls, 52.1%) of the 4th and 5th elementary classes participated in the project. The participants were enrolled in public primary schools from urban areas and had ages ranging from 9 to 10 years and from. Schools were selected on the basis of increasing levels of exposure to road traffic noise and then classified into three categories (Low noise: 55-66 dB, Medium noise: 67-77 dB, and High noise: 72-80 dB). We measured reading comprehension and mathematical skills in accordance with the national guidelines for elementary education, using a test designed specifically for the purpose of this study. On the one hand, children in low-level noise schools showed statistically significant differences from children in medium- and high-level noise schools in reading performance (plevel noise schools differed significantly from children in high-level noise schools but only in mathematics performance (p=0.001). Girls in general did better in reading score than boys, especially in schools with medium- and high-level noise. Finally the levels of noise and gender were found to be two independent factors.
The practice of teaching mathematics
Hefendehl-Hebeker, Lisa
1998-01-01
The practice of teaching mathematics : experimental conditions of change. - In: The culture of the mathematics classroom / ed. by Falk Seeger .... - Cambridge u.a. : Cambridge Univ. Press, 1998. - S. 104-124
Mathematics Education and Language Diversity
DEFF Research Database (Denmark)
Moschkovich, Judit; Planas, Nuria
This book examines multiple facets of language diversity and mathematics education. It features renowned authors from around the world and explores the learning and teaching of mathematics in contexts that include multilingual classrooms, indigenous education, teacher education, blind and deaf...
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Mirela Rigo
2011-03-01
Full Text Available En este artículo se exponen los resultados parciales de un estudio centrado en el análisis del papel que juega el convencimiento en la construcción del conocimiento matemático que se da en el aula. Se describen los resultados de una investigación empírica, centrada en el análisis de un estudio de caso longitudinal, en el que se examinan las prácticas de justificación y promoción de convencimiento a las que sistemáticamente recurre una profesora de sexto grado de primaria. Además de describir los patrones de racionalidad identificados en las clases observadas, se muestra que en el aula pueden converger, en un mismo recorrido discursivo, argumentos por razones y argumentaciones por motivos y que estas justificaciones son acumulativas, suelen ser implícitas, tienen límites borrosos y carecen de una estructura lineal. The paper contains the partial outcomes of a study focused on analyzing the role played by convincingness in building mathematical knowledge in the classroom setting. The paper describes the findings of an empirical study that is centered on the analysis of a longitudinal case study, in which we analyze the justification practices and convincingness promotion systematically resorted to by a sixth-grade elementary school teacher. In addition to describing the patterns of rationality identified in the classes observed, this paper serves to show that in the classroom setting, reasons-based arguments and motive-based lines of argument can converge within one discursive path. Consequently the justifications are cumulative, apt to be implicit, with blurred outer borders and lack a linear structure.
Innovation in mathematics education: beyond the technology
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Salvador Llinares
2013-06-01
Full Text Available Relationships between mathematical competence and mathematics teaching innovation do emerge the need for new practices of mathematics teaching. One of the aspects of this new practice is the interaction patterns in the classroom characterizing the mathematical discourse. From these perspectives, the relation between innovation and new mathematics practices defines different contexts for professional development of mathematics teacher.
Hansen, Janus Halkier; Traeholt, Rune
2007-01-01
For the last four years, Soenderholm School, near the town of Aalborg, Northjutland, Denmark, has had an optional subject in the seventh grade called First "Lego" League (FLL). FLL is an international contest which aims to advance pupils' scientific interest. The task is for participants to build and program a "Lego" robot able…
Reading Comprehension, Learning Styles, and Seventh Grade Students
Williams, Judy
2010-01-01
Reading is a basic life skill. Unfortunately, in 2007, only 29% of all eighth graders were able to comprehend at or above a proficient reading comprehension level. Sensory learning styles (kinesthetic, tactile, auditory, and visual) affect the way that students prefer to learn and the areas in which they will have difficulty learning. This study…
Give Me Moor Proof: Othello in Seventh Grade
Landay, Eileen
2005-01-01
William Shakespeare's "Othello" can be used as a project for drama study that might be culminated into a performance not of the play but of the writing and interpretive work completed by the students. The works of Theresa Toomey Fox, her Othello curriculum and the review of research and theory that supports an arts integration approach to teaching…
Elementary Mathematics Teachers' Perceptions and Lived Experiences on Mathematical Communication
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…
Ward, Robin A.
2002-01-01
The primary goal of this project was to continue populating the currently existing web site developed in 1998 in conjunction with the NASA Dryden Flight Research Center and California Polytechnic State University, with more mathematics lesson plans and activities that K-12 teachers, students, home-schoolers, and parents could access. All of the activities, while demonstrating some mathematical topic, also showcase the research endeavors of the NASA Dryden Flight Research Center. The website is located at: http://daniel.calpoly.edu/dfrc/Robin. The secondary goal of this project was to share the web-based activities with educators at various conferences and workshops. To address the primary goal of this project, over the past year, several new activities were posted on the web site and some of the existing activities were enhanced to contain more video clips, photos, and materials for teachers. To address the project's secondary goal, the web-based activities were showcased at several conferences and workshops. Additionally, in order to measure and assess the outreach impact of the web site, a link to the web site hitbox.com was established in April 2001, which allowed for the collection of traffic statistics against the web site (such as the domains of visitors, the frequency of visitors to this web site, etc.) Provided is a description of some of the newly created activities posted on the web site during the project period of 2001-2002, followed by a description of the conferences and workshops at which some of the web-based activities were showcased. Next is a brief summary of the web site's traffic statistics demonstrating its worldwide educational impact, followed by a listing of some of the awards and accolades the web site has received.
Wardono; Waluya, S. B.; Mariani, Scolastika; Candra D, S.
2016-02-01
This study aims to find out that there are differences in mathematical literacy ability in content Change and Relationship class VII Junior High School 19, Semarang by Problem Based Learning (PBL) model with an Indonesian Realistic Mathematics Education (called Pendidikan Matematika Realistik Indonesia or PMRI in Indonesia) approach assisted Elearning Edmodo, PBL with a PMRI approach, and expository; to know whether the group of students with learning PBL models with PMRI approach and assisted E-learning Edmodo can improve mathematics literacy; to know that the quality of learning PBL models with a PMRI approach assisted E-learning Edmodo has a good category; to describe the difficulties of students in working the problems of mathematical literacy ability oriented PISA. This research is a mixed methods study. The population was seventh grade students of Junior High School 19, Semarang Indonesia. Sample selection is done by random sampling so that the selected experimental class 1, class 2 and the control experiment. Data collected by the methods of documentation, tests and interviews. From the results of this study showed average mathematics literacy ability of students in the group PBL models with a PMRI approach assisted E-learning Edmodo better than average mathematics literacy ability of students in the group PBL models with a PMRI approach and better than average mathematics literacy ability of students in the expository models; Mathematics literacy ability in the class using the PBL model with a PMRI approach assisted E-learning Edmodo have increased and the improvement of mathematics literacy ability is higher than the improvement of mathematics literacy ability of class that uses the model of PBL learning with PMRI approach and is higher than the improvement of mathematics literacy ability of class that uses the expository models; The quality of learning using PBL models with a PMRI approach assisted E-learning Edmodo have very good category.
Seeley, Cathy
2004-01-01
This article addresses some important issues in mathematics instruction at the middle and secondary levels, including the structuring of a district's mathematics program; the choice of textbooks and use of calculators in the classroom; the need for more rigorous lesson planning practices; and the dangers of teaching to standardized tests rather…
Cognitive science and mathematics education
Schoenfeld, Alan H
1987-01-01
This volume is a result of mathematicians, cognitive scientists, mathematics educators, and classroom teachers combining their efforts to help address issues of importance to classroom instruction in mathematics. In so doing, the contributors provide a general introduction to fundamental ideas in cognitive science, plus an overview of cognitive theory and its direct implications for mathematics education. A practical, no-nonsense attempt to bring recent research within reach for practicing teachers, this book also raises many issues for cognitive researchers to consider.
The pragmatics of mathematics education vagueness and mathematical discourse
Rowland, Tim
2003-01-01
Drawing on philosophy of language and recent linguistic theory, Rowland surveys several approaches to classroom communication in mathematics. Are students intimidated by the nature of mathematics teaching? Many students appear fearful of voicing their understanding - is fear of error part of the linguistics of mathematics? The approaches explored here provide a rationale and a method for exploring and understanding speakers'' motives in classroom mathematics talk. Teacher-student interactions in mathematics are analysed, and this provides a toolkit that teachers can use to respond to the intellectual vulnerability of their students.
Hadley, Kristin M.; Dorward, Jim
2011-01-01
Many elementary teachers have been found to have high levels of mathematics anxiety but the impact on student achievement was unknown. Elementary teachers (N = 692) completed the modified Mathematics Anxiety Rating Scale-Revised (Hopko, 2003) along with a questionnaire probing anxiety about teaching mathematics and current mathematics instructional practices. Student mathematics achievement data were collected for the classrooms taught by the teachers. A positive relationship was found betwee...
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Ramazan KAYA
2012-06-01
Full Text Available This study aims at determining primary education seventh grade students’ opinions on teaching of history topics in social science cources and significance of history in their lives. The population of the study comprises of 20 pieces seventh grade classes in 4 primary schools with medium socio-economic levels in the city center of Erzurum. As the sample of the study, a total of 200 students (10 students from each class were chosen via random sampling from seventh grade classes of these schools according to the appropriate sampling method. Required data for this qualitative research was acquired by a 4-item questionnaire comprising of open-ended questions. Content analysis method was adopted in analysis of the obtained data in this study. Findings shows that methods in line with constructivist approach remain limited in teaching of the topics; students like methods in which they are more active; such as drama and acting they like learning history, and, in general, they think that learning history makes a great contribution to their lives. Bu araştırmanın amacı, İlköğretim yedinci sınıf öğrencilerinin sosyal bilgiler dersinde tarih konularının işlenişi ve tarihin yaşamlarındaki değeri ile ilgili görüşlerini tespit edebilmektir.Araştırmanın evrenini, Erzurum merkezde sosyo-ekonomik bakımdan orta düzeyde 4 ilköğretim okulundaki toplam 20 tane yedinci sınıf şubesi oluşturmaktadır. Örneklem olarak uygun örnekleme yöntemine göre seçilen bu okulların yedinci sınıflarından tesadüfî örneklem yoluyla her sınıftan 10’ar öğrenci olmak üzere toplam 200 öğrenci seçilmiştir. Nitel araştırma yöntemi ile gerçekleştirilen bu araştırma için gerekli olan veriler, 4 adet açık uçlu sorudan oluşan bir anket vasıtasıyla edinilmiştir. Araştırma sonucunda elde edilen verilerin çözümlenmesinde içerik analizi yöntemi benimsenmiştir. Elde edilen bulgulara göre derslerin işlenişinde yap
Mathematical Modeling: Challenging the Figured Worlds of Elementary Mathematics
Wickstrom, Megan H.
2017-01-01
This article is a report on a teacher study group that focused on three elementary teachers' perceptions of mathematical modeling in contrast to typical mathematics instruction. Through the theoretical lens of figured worlds, I discuss how mathematics instruction was conceptualized across the classrooms in terms of artifacts, discourse, and…
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…
Mahendra, Rengga; Slamet, Isnandar; Budiyono
2017-12-01
One of the difficulties of students in learning mathematics is on the subject of geometry that requires students to understand abstract things. The aim of this research is to determine the effect of learning model Problem Posing and Problem Solving with Realistic Mathematics Education Approach to conceptual understanding and students' adaptive reasoning in learning mathematics. This research uses a kind of quasi experimental research. The population of this research is all seventh grade students of Junior High School 1 Jaten, Indonesia. The sample was taken using stratified cluster random sampling technique. The test of the research hypothesis was analyzed by using t-test. The results of this study indicate that the model of Problem Posing learning with Realistic Mathematics Education Approach can improve students' conceptual understanding significantly in mathematics learning. In addition tu, the results also showed that the model of Problem Solving learning with Realistic Mathematics Education Approach can improve students' adaptive reasoning significantly in learning mathematics. Therefore, the model of Problem Posing and Problem Solving learning with Realistic Mathematics Education Approach is appropriately applied in mathematics learning especially on the subject of geometry so as to improve conceptual understanding and students' adaptive reasoning. Furthermore, the impact can improve student achievement.
Using Student Contributions and Multiple Representations To Develop Mathematical Language.
Herbel-Eisenmann, Beth A.
2002-01-01
Describes a way to introduce and use mathematical language as an alternative to using vocabulary lists to introduce students to mathematical language in mathematics classrooms. Draws on multiple representations and student language. (YDS)
Analyzing Mathematics Teachers? Classroom Communication
DEFF Research Database (Denmark)
Ejersbo, Lisser Rye
2004-01-01
In: Matematik og Sprog, edited by Svensk forening for matematikdidaktisk forskning. MADIF4, Malmö Högskola. 2004 Kort beskrivelse Man kan ikke overvurdere vigtigheden af formidling af matematisk læring og tænkning. Når matematiklæreren arbejder med problemløsning i matematiktimen, så er det vigti...
Mathematics related anxiety: Mathematics bogeyman or not?
Directory of Open Access Journals (Sweden)
Videnović Marina
2011-01-01
Full Text Available Data of the PISA 2003 survey indicate high levels of mathematics anxiety of students in Serbia. More than half of our students worry whether they will have difficulties in mathematics class or whether they will earn poor marks. Aims of this study therefore are: examining relationship between math anxiety and achievement at mathematics literacy scale; establishing possible predictors of math anxiety and identification of students' groups in relations to their relationship towards mathematics as a subject. Mathematics anxiety is statistically negatively correlated with school achievement and achievement at mathematics literacy scale. Socio-demographic factors, motivational and cognitive aspects related to learning mathematics, perception of school and classroom climate explain 40% variance of mathematics anxiety. Based on students' relationship towards mathematics they cam be divided into three groups; while dimensions that apart them are uninterested-interested in mathematics and presence-absence of anxiety. The group displaying anxiety scores lowest among the three. Applying qualitative analysis students' and teachers' attitudes on specific issues related to teaching and learning mathematics was examined.
The 24-Hour Mathematical Modeling Challenge
Galluzzo, Benjamin J.; Wendt, Theodore J.
2015-01-01
Across the mathematics curriculum there is a renewed emphasis on applications of mathematics and on mathematical modeling. Providing students with modeling experiences beyond the ordinary classroom setting remains a challenge, however. In this article, we describe the 24-hour Mathematical Modeling Challenge, an extracurricular event that exposes…
Fielding an After-School Mathematics Lab
Punches-Guntsch, Christina M.; Kenney, Erin N.
2012-01-01
Many students will need remedial work in mathematics during their high school years. Some sort of help will be needed to fulfill the National Council of Teachers of Mathematics' (NCTM's) (2000) vision of a mathematics classroom that involves students having access to mathematically rich problems and being engaged in solving them. The high school…
Focusing of Students' Mathematical Thinking
Breyfogle, M. Lynn; Herbel-Eisenmann, Beth A.
2004-01-01
Suggestions and ideas that enable teachers to take a closer look at students' thinking are discussed. A teacher should periodically reflect on his or her own classroom practices in order to increase attention on students' mathematical thinking.
Combinatorial Mathematics: Research into Practice
Sriraman, Bharath; English, Lyn D.
2004-01-01
Implications and suggestions for using combinatorial mathematics in the classroom through a survey and synthesis of numerous research studies are presented. The implications revolve around five major themes that emerge from analysis of these studies.
Barriteau Phaire, Candace
2013-01-01
The teaching and learning of mathematics has been the subject of debate for over 30 years and the most recent reform efforts are in response to concerns regarding the mathematical competence of students in the United States (Ball, Hill, & Bass, 2005; Battista, 1994; Cavanagh, 2008). Standards-based Instructional Materials (SBIM) allows…
Coester, Lee Anne
2010-01-01
This study was designed to gather input from early career elementary teachers with the goal of finding ways to improve elementary mathematics methods courses. Multiple areas were explored including the degree to which respondents' elementary mathematics methods course focused on the NCTM Process Standards, the teachers' current standards-based…
House, J. Daniel
2006-01-01
This article deals with the Third International Mathematics and Science Study (TIMSS). TIMSS has provided a comprehensive assessment of educational contexts and mathematics and science achievement (National Research Council, 1999). The initial TIMSS assessment was conducted in 1995 (TIMSS 1995) and several studies have examined factors related to…
Concepts of modern mathematics
Stewart, Ian
1995-01-01
Some years ago, ""new math"" took the country's classrooms by storm. Based on the abstract, general style of mathematical exposition favored by research mathematicians, its goal was to teach students not just to manipulate numbers and formulas, but to grasp the underlying mathematical concepts. The result, at least at first, was a great deal of confusion among teachers, students, and parents. Since then, the negative aspects of ""new math"" have been eliminated and its positive elements assimilated into classroom instruction.In this charming volume, a noted English mathematician uses humor an
Garner, Sue
2004-01-01
The Victorian Curriculum and Assessment Authority (VCAA) Computer Algebra System (CAS)Pilot study (2001-2005) is monitoring the use of CAS in senior secondary mathematics. This article explores the author's experiences in the CAS classroom and delineates changes in teaching style, as a result of the introduction of CAS into the senior mathematics…
Lee, Scott; McDonough, Andrea
2015-01-01
Much research has been conducted on children's self-talk and its use to regulate thinking and behaviour, but research has typically been conducted on audible self-talk when undertaking specific tasks designed by researchers and in laboratory situations. Addressing the need to study self-talk in the classroom and by students of an age when…
Attard, Catherine
2011-09-01
The levels of engagement in mathematics experienced by students during the middle years of schooling (Years 5 to 8 in New South Wales) has been of concern in Australia for some years. Lowered engagement in school has been attributed to factors such as inappropriate teaching strategies, curricula that is unchallenging and irrelevant, and cultural and technological conditions that continue to evolve (Sullivan et al. Australian Journal of Education 53(2):176-191, 2009). There is currently a gap in this field of research in terms of a lack of longitudinal studies conducted in an Australian context that feature students' voices and their perceptions of mathematics teaching and learning during the middle years. As part of a qualitative longitudinal case study spanning 3 school years, 20 students in their final year of primary school (aged between 11 and 12 years) were asked to provide their views on mathematics teaching and learning. The aim of the study was to explore the students' perspectives of mathematics teaching and learning to discover pedagogies that engage the students. During focus group discussions and individual interviews the students discussed qualities of a "good" mathematics teacher and aspects of "good" lessons. These were found to resonate well with current Australian quality teaching frameworks. The findings of this study indicate that students in the middle years are critically aware of pedagogies that lead to engagement in mathematics, and existing standards and frameworks should be used as a starting point for quality teaching of mathematics.
Heshmati, Saeideh; Kersting, Nicole; Sutton, Taliesin
2018-01-01
This study explored the design and implementation of the Cover-up and Un-cover games, two manipulative-based fraction games, in 14 fifth-grade classrooms. We examined how the fraction concepts were integrated into the game design and explored the nature of teacher-student interactions during games using lesson videos. Our examination showed that…
Cheung, Alan C. K.; Slavin, Robert E.
2011-01-01
The use of educational technology in K-12 classrooms has been gaining tremendous momentum across the country since the 1990s. Many school districts have been investing heavily in various types of technology, such as computers, mobile devices, internet access, and interactive whiteboards. Almost all public schools have access to the internet and…
Eddy, Sarah L; Converse, Mercedes; Wenderoth, Mary Pat
2015-01-01
There is extensive evidence that active learning works better than a completely passive lecture. Despite this evidence, adoption of these evidence-based teaching practices remains low. In this paper, we offer one tool to help faculty members implement active learning. This tool identifies 21 readily implemented elements that have been shown to increase student outcomes related to achievement, logic development, or other relevant learning goals with college-age students. Thus, this tool both clarifies the research-supported elements of best practices for instructor implementation of active learning in the classroom setting and measures instructors' alignment with these practices. We describe how we reviewed the discipline-based education research literature to identify best practices in active learning for adult learners in the classroom and used these results to develop an observation tool (Practical Observation Rubric To Assess Active Learning, or PORTAAL) that documents the extent to which instructors incorporate these practices into their classrooms. We then use PORTAAL to explore the classroom practices of 25 introductory biology instructors who employ some form of active learning. Overall, PORTAAL documents how well aligned classrooms are with research-supported best practices for active learning and provides specific feedback and guidance to instructors to allow them to identify what they do well and what could be improved. © 2015 S. L. Eddy et al. CBE—Life Sciences Education © 2015 The American Society for Cell Biology. This article is distributed by The American Society for Cell Biology under license from the author(s). It is available to the public under an Attribution–Noncommercial–Share Alike 3.0 Unported Creative Commons License (http://creativecommons.org/licenses/by-nc-sa/3.0).
Mathematics for What? High School Students Reflect on Mathematics as a Tool for Social Inquiry
Brelias, Anastasia
2015-01-01
This study examines high school students' views of mathematics as a tool for social inquiry in light of their classroom experiences using mathematics to explore social issues. A critical theoretical perspective on mathematics literacy is used to ascertain the ways in which their views challenge or affirm the dominant image of mathematics in…
Integrating Dynamic Mathematics Software into Cooperative Learning Environments in Mathematics
Zengin, Yilmaz; Tatar, Enver
2017-01-01
The aim of this study was to evaluate the implementation of the cooperative learning model supported with dynamic mathematics software (DMS), that is a reflection of constructivist learning theory in the classroom environment, in the teaching of mathematics. For this purpose, a workshop was conducted with the volunteer teachers on the…
Analysing the Mathematical Experience: Posing the "What Is Mathematics?" Question
Padula, Janice
2011-01-01
In this paper, different schools of thought are discussed and compared to encourage lively classroom discussion and interest in mathematics for high achieving Form 12 students and first (or higher) year university students enrolled in a mathematics degree program. In particular the work and views of two mathematicians, Kurt Godel (1931) and Ian…
Mathematical Profiles and Problem Solving Abilities of Mathematically Promising Students
Budak, Ibrahim
2012-01-01
Mathematically promising students are defined as those who have the potential to become the leaders and problem solvers of the future. The purpose of this research is to reveal what problem solving abilities mathematically promising students show in solving non-routine problems and type of profiles they present in the classroom and during problem…
Authority, Identity, and Collaborative Mathematics
Langer-Osuna, Jennifer M.
2017-01-01
The field of mathematics education research has seen a resurgence of interest in understanding collaborative learning because students in K-12 classrooms are increasingly expected to make sense of mathematics problems together. This Research Commentary argues for the importance of understanding student authority relations in collaborative…
Platas, Linda M.
2015-01-01
The Mathematical Development Beliefs Survey was developed to measure early childhood teachers' beliefs about mathematics teaching and learning in the preschool classroom. This instrument was designed to measure beliefs concerning (a) age-appropriateness of mathematics instruction, (b) classroom locus of generation of mathematical knowledge…
Mathematics education and language: interpreting hermeneutics and post-structuralism
National Research Council Canada - National Science Library
Brown, Tony, Ph. D
1997-01-01
... 79 81 84 86 Vvi CONTENTS PART TWO. THE CLASSROOM ENVIRONMENT 99 CHAPTER 4. SOME LESSONS 103 CHAPTER5. THE PHENOMENOLOGY OF THE MATHEMATICS CLASSROOM 132 Personal Space Appresentational Associati...
Masalski, William J.
This book seeks to develop, enhance, and expand students' understanding of mathematics by using technology. Topics covered include the advantages of spreadsheets along with the opportunity to explore the 'what if?' type of questions encountered in the problem-solving process, enhancing the user's insight into the development and use of algorithms,…
Directory of Open Access Journals (Sweden)
Hilyatin Farda
2017-08-01
Full Text Available The purpose of this study was to analyzing the effectiveness of POGIL model learning with ethnomathematics nuance by using student worksheets towards student’s mathematical communication ability in quadraliteral materialand. The population in this research was the students of seventh grade Junior High School 1 Welahan on year 2016/2017. By using simple random sampling, the selected samples were VII-A as control class with PBL model learning and VII-B as experiment class with POGIL model learning with nuance ethnomathematics by using student worksheet. The methods which have been used to collect data were documentation, test, and questionnaire. Data were analyzed using proportion test, independent samples t-test, and linear regression. The result of research showed that (1 Student’s mathematical communication ability which have studied with POGIL model learning with ethnomathematics nuance by using student worksheets reach the minimum score criteria, (2 The average of student’s mathematical communication ability by implementing POGIL model learning with ethnomathematics nuance by using student worksheets better than the average of student’s mathematical communication ability by implementing PBL model learning, (3 Respect to local culture attitude influenced toward mathematical communication ability with the number 55,5%.
Explanatory Unification by Proofs in School Mathematics
Komatsu, Kotaro; Fujita, Taro; Jones, Keith; Naoki, Sue
2018-01-01
Kitcher's idea of 'explanatory unification', while originally proposed in the philosophy of science, may also be relevant to mathematics education, as a way of enhancing student thinking and achieving classroom activity that is closer to authentic mathematical practice. There is, however, no mathematics education research treating explanatory…
Exploring Collective Mathematical Creativity in Elementary School
Levenson, Esther
2011-01-01
This study combines theories related to collective learning and theories related to mathematical creativity to investigate the notion of collective mathematical creativity in elementary school classrooms. Collective learning takes place when mathematical ideas and actions, initially stemming from an individual, are built upon and reworked,…
The Mathematics-language symbiosis: The learners' benefits ...
African Journals Online (AJOL)
On their own part, those whose course of study is mathematics are curious ... of Applied Linguistics propounded by Leonard Bloomfield in 1941 guides the study. ... a mathematics classroom so as to continue learning advanced concepts.
Teaching Middle-Grades Mathematics through Financial Literacy
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.
National Center for Mathematics and Science - who we are
Massachusetts-Dartmouth Expertise Areas Classroom discourse Sociocultural theory in mathematics teacher education The learnability of new ideas, such as complexity, chaos and nonlinear systems Center Research students' mathematical understanding Program evaluation Curriculum theory and reform Center Research
Widlund, Anna; Tuominen, Heta; Korhonen, Johan
2018-01-01
It has been suggested that both performance and academic well-being play a role in adolescent students' educational attainment and school dropout. In this study, we therefore examined, first, what kinds of academic well-being (i.e., school burnout, schoolwork engagement, and mathematics self-concept) and mathematics performance profiles can be identified among lower secondary school students ( N grade 7 = 583, N grade 9 = 497); second, how stable these profiles are across one school year during the seventh and ninth grades; and, third, how students with different academic well-being and mathematics performance profiles differ with respect to their educational aspirations. By means of latent profile analyses, three groups of students in seventh grade: thriving (34%), average (51%), and negative academic well-being (15%) and four groups of students in ninth grade: thriving (25%), average (50%), negative academic well-being (18%), and low-performing (7%) with distinct well-being and mathematics performance profiles were identified. Configural frequency analyses revealed that the profiles were relatively stable across one school year; 60% of the students displayed identical profiles over time. The thriving students reported the highest educational aspirations compared to the other groups. In addition, the low-performing students in the ninth grade had the lowest educational aspirations just before the transition to upper secondary school. Practical implications as well as directions for future research are discussed.
Directory of Open Access Journals (Sweden)
Anna Widlund
2018-03-01
Full Text Available It has been suggested that both performance and academic well-being play a role in adolescent students’ educational attainment and school dropout. In this study, we therefore examined, first, what kinds of academic well-being (i.e., school burnout, schoolwork engagement, and mathematics self-concept and mathematics performance profiles can be identified among lower secondary school students (Ngrade 7 = 583, Ngrade 9 = 497; second, how stable these profiles are across one school year during the seventh and ninth grades; and, third, how students with different academic well-being and mathematics performance profiles differ with respect to their educational aspirations. By means of latent profile analyses, three groups of students in seventh grade: thriving (34%, average (51%, and negative academic well-being (15% and four groups of students in ninth grade: thriving (25%, average (50%, negative academic well-being (18%, and low-performing (7% with distinct well-being and mathematics performance profiles were identified. Configural frequency analyses revealed that the profiles were relatively stable across one school year; 60% of the students displayed identical profiles over time. The thriving students reported the highest educational aspirations compared to the other groups. In addition, the low-performing students in the ninth grade had the lowest educational aspirations just before the transition to upper secondary school. Practical implications as well as directions for future research are discussed.
Widlund, Anna; Tuominen, Heta; Korhonen, Johan
2018-01-01
It has been suggested that both performance and academic well-being play a role in adolescent students’ educational attainment and school dropout. In this study, we therefore examined, first, what kinds of academic well-being (i.e., school burnout, schoolwork engagement, and mathematics self-concept) and mathematics performance profiles can be identified among lower secondary school students (Ngrade 7 = 583, Ngrade 9 = 497); second, how stable these profiles are across one school year during the seventh and ninth grades; and, third, how students with different academic well-being and mathematics performance profiles differ with respect to their educational aspirations. By means of latent profile analyses, three groups of students in seventh grade: thriving (34%), average (51%), and negative academic well-being (15%) and four groups of students in ninth grade: thriving (25%), average (50%), negative academic well-being (18%), and low-performing (7%) with distinct well-being and mathematics performance profiles were identified. Configural frequency analyses revealed that the profiles were relatively stable across one school year; 60% of the students displayed identical profiles over time. The thriving students reported the highest educational aspirations compared to the other groups. In addition, the low-performing students in the ninth grade had the lowest educational aspirations just before the transition to upper secondary school. Practical implications as well as directions for future research are discussed. PMID:29593603
Defining culturally responsive teaching: The case of mathematics
Directory of Open Access Journals (Sweden)
Jenni L. Harding-DeKam
2014-12-01
Full Text Available Elementary classroom teachers in eight school districts across Colorado, United States, share the knowledge of their students’ home and community life, define culturally responsive mathematics based on the children they instruct, and give examples of how students learn math through culture in their classrooms. Findings from two interviews, classroom observations, and student artifacts reveal that teachers have an intimate cultural knowledge of the students in their classrooms, define culturally responsive mathematical practices consistent with research, use culturally responsive mathematics teaching for authentic learning, and express a need for additional professional development and curriculum support for culturally responsive mathematics instruction. Culturally responsive mathematics is important in elementary classrooms because it allows students to make personal connections to mathematics content.
The Three Fs of Classroom Management
Daniels, Mark L.
2009-01-01
This article describes a cohesive theory of classroom management, developed by the author. This "three Fs" theory, predicated upon extant empiricism and scholarship vis-a-vis classroom management, was devised and implemented over several semesters within a field-based course at the University of Texas at Austin for preservice mathematics majors…
Critical Mathematics education: Past, present and future
DEFF Research Database (Denmark)
contribution to the shaping of those concerns in the international community of mathematics educators and mathematics education researchers. This book gathers contributions of researchers from five continents, for whom critical mathematics education has been an inspiration to think about many different topics...... such as the dialogical and political dimensions of teacher education, mathematical modeling, the philosophy of mathematics from social and political perspectives, teaching practices in classrooms, the connection between mathematics and society, the scope and limits of critical thinking in relation to mathematics......Critical mathematics education brings together a series of concerns related to mathematics and its role in society, the practices of teaching and learning of mathematics in educational settings, and the practices of researching mathematics education. The work of Ole Skovsmose has provided a seminal...
Enhancing Mathematics Communication using Critical Aspects and Dimensions of Variation
Olteanu, Constanta; Olteanu, Lucian
2013-01-01
This article deals with two prominent topics in the field of mathematics education: the communication in mathematics and its teaching and learning and the continuous professional development of mathematics teachers. In this article, a framework is proposed for analysing the effectiveness of communication in mathematics classrooms. The presentation…
Research methods in indigenous mathematical Knowledge: An ...
African Journals Online (AJOL)
Indigenous games are an integral component of indigenous knowledge systems. ... and national activities; mathematical concepts associated with the games; possibilities and implications for general classroom ... AJOL African Journals Online.
Mathematical Modeling Applied to Maritime Security
Center for Homeland Defense and Security
2010-01-01
Center for Homeland Defense and Security, OUT OF THE CLASSROOM Download the paper: Layered Defense: Modeling Terrorist Transfer Threat Networks and Optimizing Network Risk Reduction” Students in Ted Lewis’ Critical Infrastructure Protection course are taught how mathematic modeling can provide...
Out of Classroom Instruction in the Flipped Classroom
DEFF Research Database (Denmark)
Triantafyllou, Evangelia; Timcenko, Olga
2015-01-01
This article presents experiences and student perceptions on the introduction of the flipped classroom model in two consecutive semesters at Media Technology department of Aalborg University, Copenhagen, Denmark. We introduced the flipped instruction model to a statistics course and a mathematics...
Factors affecting Mathematics achievement of first-year secondary ...
African Journals Online (AJOL)
This study explores the sources of variability in Mathematics achievement of Ugandan students at the student, classroom and school level. The Mathematics score and questionnaire responses of 4,819 first-year secondary school students (Grade Seven, about 14-15 years old) from 78 classrooms of 49 schools were ...
Motivation in Mathematics: Goals Reflected in Emotions
Hannula, Markku S.
2006-01-01
Students in a mathematics classroom are motivated to do many things, not only the ones we expect them to do. In order to understand student behaviour in classrooms we need to increase our understanding of what motivation is and how it is regulated. Two issues relevant to a critique of mainstream motivation research need consideration: (a) the…
Didactics of mathematics as a scientific discipline
National Research Council Canada - National Science Library
Biehler, Rolf
1994-01-01
... knowledge Rainer Bromme 73 Dialogue between theory and practice in mathematics education Heinz Steinbring 89 On the application of science to teaching and teacher education Thomas J. Cooney 103 3. INTERACTION IN THE CLASSROOM Introduction Rudolf Sträßer 117 Theoretical and empirical approaches to classroom interaction Maria G. Bartolini Bussi 121 Theo...
Mathematics from Still and Moving Images
Pierce, Robyn; Stacey, Kaye; Ball, Lynda
2005-01-01
Digital photos and digital movies offer an excellent way of bringing real world situations into the mathematics classroom. The technologies surveyed here are feasible for everyday classroom use and inexpensive. Examples are drawn from the teaching of Cartesian coordinates, linear functions, ratio and Pythagoras' theorem using still images, and…
Mathematics Teachers' Representations of Authority
Wagner, David; Herbel-Eisenmann, Beth
2014-01-01
Issues of authority abound in education and schooling but have not been interrogated sufficiently. We describe a tool that we have developed to initiate dialogue with teachers about authority in their classrooms--using a diagram to represent authority in their classrooms. Our analysis of the diagrams mathematics teachers created and discussed in…
Directory of Open Access Journals (Sweden)
Nancy Chitera
2016-11-01
Full Text Available In this article, we present a discussion about the type of mathematical discourse that is being produced in classrooms where the language of learning and teaching is local languages. We also further explore the tensions in the mathematical discourse being produced. The study sample was 4 mathematics teachers from a semi-urban primary school in Malawi. The methods of data collection included classroom observations, pre-observation focus group discussions and reflective interviews. The results show that even though both students and teachers were able to communicate freely in local languages in the mathematics classroom, the mathematical discourse that came was distorted. This is mainly caused by lack of a well-developed mathematical discourse in local languages, which in turn takes away the confidence of mathematics teachers in the classroom. As a result, the mathematics classrooms are still being characterized by teachers not being creative, use of word by word from books, focus more on procedural than conceptual and thus teacher centered is still dominant in these classrooms. Furthermore, it is found that there are tensions between the formal and informal mathematical language in local languages. These results in turn have promoted a more in-depth understanding to the teaching and learning of mathematics when local language is the language of learning and teaching. Therefore, this article argues for a well-balanced approach when it comes to teaching and learning of mathematics rather than just focusing on the use of local languages.
Luther, Kenneth H.
2012-01-01
Mathematical modeling of groundwater flow is a topic at the intersection of mathematics and geohydrology and is rarely encountered in undergraduate mathematics. However, this subject is full of interesting and meaningful examples of truly "applied" mathematics accessible to undergraduates, from the pre-calculus to advanced mathematics levels. This…
Using Mathematics and Engineering to Solve Problems in Secondary Level Biology
Cox, Charles; Reynolds, Birdy; Schunn, Christian; Schuchardt, Anita
2016-01-01
There are strong classroom ties between mathematics and the sciences of physics and chemistry, but those ties seem weaker between mathematics and biology. Practicing biologists realize both that there are interesting mathematics problems in biology, and that viewing classroom biology in the context of another discipline could support students'…
Schwerdtfeger, Sara
2017-01-01
This study examined the differences in knowledge of mathematical modeling between a group of elementary preservice teachers and a group of elementary inservice teachers. Mathematical modeling has recently come to the forefront of elementary mathematics classrooms because of the call to add mathematical modeling tasks in mathematics classes through…
Co-operation Between Science Teachers and Mathematics Teachers. Volumes 1-6.
Rogerson, Alan, Ed.
This document contains six separate works, titled: (1) Functions and Physics; (2) Links Between Geography and Mathematics; (3) Our Inheritance: Common Ground for the Mathematics and Biology Teacher; (4) Mathematics and Chemistry: The Classroom Interface; (5) Mathematical Modeling; and (6) Mathematical Modeling with Calculus. This series of…
African Journals Online (AJOL)
MATHEMATICS CONNECTION aims at providing a forum topromote the development of Mathematics Education in Ghana. Articles that seekto enhance the teaching and/or learning of mathematics at all levels of theeducational system are welcome.
Language, Mathematics and English Language Learners
Adoniou, Misty; Qing, Yi
2014-01-01
There is a correlation between language proficiency and achievement in mathematics (Riordain & O'Donoghue, 2009), and this is particularly evident for children who speak English as an additional language or dialect. More effort needs to be made in mathematics classrooms to develop cognitive competencies, including the ability to decode and…
The Development of the Mathematical Mind.
Scott, Judith
1995-01-01
Draws parallels between Montessori's mathematical curriculum and the evolution of numbers and counting. Suggests that children share with ancient Sumerians a basic human tendency to develop "the mathematical mind." Argues that children do not need to be surrounded by math; rather, the classroom must supply them with the means to explore…
An Ecological Analysis of Mathematics Teachers' Noticing
Jazby, Dan
2016-01-01
Most studies which investigate mathematics teacher noticing cast perception into a passive role. This study develops an ecological analysis of mathematics teachers' noticing in order to investigate how teachers actively look for information in classroom environments. This method of analysis is applied to data collected as an experienced primary…
Research in Mathematics Education and Language
Planas, Núria
2016-01-01
A synthesis of reasons for the production of this monograph is presented with a focus on contemporary research in the context of the Ninth Congress of the European Society for Research in Mathematics Education. Within the domain of mathematics and language, three lines of concern are addressed: (1) classroom discourse, (2) language diversity, and…
Authentic Teaching Experiences in Secondary Mathematics Methods
Stickles, Paula R.
2015-01-01
Often secondary mathematics methods courses include classroom peer teaching, but many pre-service teachers find it challenging to teach their classmate peers as there are no discipline issues and little mathematical discourse as the "students" know the content. We will share a recent change in our methods course where pre-service…
Labelling Angles: Care, Indifference and Mathematical Symbols
Long, Julie
2011-01-01
In this article, I explore tensions of care in the context of school mathematics by examining two accounts of a classroom moment involving labelling an angle. In particular, I draw attention to how caring for students and caring for mathematical ideas interplay in complex ways by inquiring into the two accounts through ideas of care and…
Mathematics for sustainability
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...
Mayes, Valynda
2010-01-01
An outdoor classroom is the ideal vehicle for community involvement: Parents, native plant societies, 4-H, garden clubs, and master naturalists are all resources waiting to be tapped, as are local businesses offering support. If you enlist your community in the development and maintenance of your outdoor classroom, the entire community will…
DEFF Research Database (Denmark)
Skov, Tobias Kidde; Jørgensen, Søren
2016-01-01
Artiklen beskriver Flipped Classroom som et didaktisk princip, der kan være med til at organisere og tilrettelægge en undervisning, med fokus på forskellige læringsformer. Det handler om at forstå Flipped Classroom som en opdeling i 2 faser og 3 led, som samlet set skaber en didaktisk organisering....
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....
Appreciation of Mathematics through Origami
Wares, Arsalan
2013-01-01
The purpose of this classroom note is to provide an example of how a simple origami box can be used to explore important mathematical concepts in geometry like surface area. This article describes how an origami box can be folded from a rectangular sheet of paper, then it goes on to describe how its surface area can be determined in terms of the…
Mathematics Career Simulations: An Invitation
Sinn, Robb; Phipps, Marnie
2013-01-01
A simulated academic career was combined with inquiry-based learning in an upper-division undergraduate mathematics course. Concepts such as tenure, professional conferences and journals were simulated. Simulation procedures were combined with student-led, inquiry-based classroom formats. A qualitative analysis (ethnography) describes the culture…
Linking geometry and algebra in the school mathematics curriculum
Jones, Keith
2010-01-01
This chapter focuses on the linking of geometry and algebra in the teaching and learning of mathematics - and how, through such linking, the mathematics curriculum might be strengthened. Through reviewing the case of the school mathematics curriculum in England, together with examples of how the power of geometry can bring contemporary mathematics to life in the classroom, the chapter argues for greater concinnity in the mathematics curriculum, especially in terms of the harmonious/purposeful...
Mathematical Footprints Discovering Mathematics Everywhere
Pappas, Theoni
1999-01-01
MATHEMATICAL FOOTPRINTS takes a creative look at the role mathematics has played since prehistoric times, and will play in the future, and uncovers mathematics where you least expect to find it from its many uses in medicine, the sciences, and its appearance in art to its patterns in nature and its central role in the development of computers. Pappas presents mathematical ideas in a readable non-threatening manner. MATHEMATICAL FOOTPRINTS is another gem by the creator of THE MATHEMATICS CALENDAR and author of THE JOY OF MATHEMATICS. "Pappas's books have been gold mines of mathematical ent
Looking for attributes of powerful teaching for numeracy in tasmanian K-7 classrooms
Beswick, Kim; Swabey, Karen; Andrew, Rob
2008-04-01
This paper reports on the development and use of a classroom observation reflection tool designed to measure the extent to which pedagogies acknowledged in the literature as contributing to effective teaching of mathematics for numeracy are present in classrooms. The observation schedule was used in conjunction with a record of classroom activity to examine numeracy pedagogies in a sample of Tasmanian classrooms from Kindergarten to Year 7. Low levels of intellectual challenge in highly socially supportive classrooms were typical.
The Effects of an Educational Video Game on Mathematical Engagement
Chang, Mido; Evans, Michael A.; Kim, Sunha; Norton, Anderson; Deater-Deckard, Kirby; Samur, Yavuz
2016-01-01
In an effort to maximizing success in mathematics, our research team implemented an educational video game in fifth grade mathematics classrooms in five schools in the Eastern US. The educational game was developed by our multi-disciplinary research team to achieve a hypothetical learning trajectory of mathematical thinking of 5th grade students.…
The Role of Expository Writing in Mathematical Problem Solving
Craig, Tracy S.
2016-01-01
Mathematical problem-solving is notoriously difficult to teach in a standard university mathematics classroom. The project on which this article reports aimed to investigate the effect of the writing of explanatory strategies in the context of mathematical problem solving on problem-solving behaviour. This article serves to describe the…
STEM Education: What Does Mathematics Have to Offer?
Fitzallen, Noleine
2015-01-01
The emphasis on science, technology, engineering, and mathematics (STEM) education in recent times could be perceived as business as usual or as an opportunity for innovation and change in mathematics classrooms. Either option presents challenges for mathematics educators who are expected to contribute to the foundations of a STEM literate…
Do Prospective Teachers Have Anxieties about Teaching Mathematics?
Yavuz, Günes
2018-01-01
The purpose of this study is to analyse the level of prospective classroom and mathematics teachers' anxieties about teaching mathematics. Freshman and junior prospective teachers from educational faculties of two different universities participated in this study. "Anxieties About Teaching Mathematics Scale" which was developed by Peker…
Tasks that May Occasion Mathematical Creativity: Teachers' Choices
Levenson, Esther
2013-01-01
Promoting mathematical creativity is one of the aims of mathematics education. This study investigates the tasks teachers chose when their aim was to occasion mathematical creativity in the classroom. Five cases are described in depth, and general trends found among these cases as well as in additional data are discussed. Findings indicated that…
A Framework for Examining Teachers' Noticing of Mathematical Cognitive Technologies
Smith, Ryan; Shin, Dongjo; Kim, Somin
2017-01-01
In this paper, we propose the mathematical cognitive technology noticing framework for examining how mathematics teachers evaluate, select, and modify mathematical cognitive technology to use in their classrooms. Our framework is based on studies of professional and curricular noticing and data collected in a study that explored how secondary…
The Effect of Some Constraints on Mathematics Instructors' Problem ...
African Journals Online (AJOL)
This study was designed to examine the effect of perceived constraints on four universities mathematics department instructors' classroom practices of problem solving in teaching mathematics. To this end, the target population of the study includes mathematics instructors in the Amhara Regional state universities. From a ...
Coming to Know and Do Mathematics with Disengaged Students
Marshman, Margaret; Brown, Raymond
2014-01-01
This case study explored how students disaffected with their school experience were scaffolded during their participation in a middle-school mathematics classroom. Of particular interest were the level of student engagement in discussion about the mathematics being presented by the teacher and the approach to doing mathematics being displayed by…
Transforming Ethnomathematical Ideas in Western Mathematics Curriculum Texts
Dickenson-Jones, Amelia
2008-01-01
When ethnomathematical ideas, that is, the mathematical ideas of different cultural groups, are included in mathematics curriculum texts they can become part of the learning experience in various ways. Once included in western classroom mathematics texts, the ethnomathematical ideas become transformed. The transformations involve changes in form…
The Effects of Teacher Collaboration in Grade 9 Applied Mathematics
Egodawatte, Gunawardena; McDougall, Douglas; Stoilescu, Dorian
2011-01-01
The current emphasis of many mathematics education reform documents is on the need to change the environment of mathematics classrooms from the transmission of knowledge by the teacher to the transaction of knowledge between the teacher and the students which promotes mathematical investigation and exploration. In this article, we discuss the…
Flipping Preservice Elementary Teachers' Mathematics Anxieties
Dove, Anthony; Dove, Emily
2017-01-01
In preparing future elementary educators in mathematics, helping them overcome their anxieties of mathematics and teaching mathematics is paramount. This study examined how different instructional practices (in-class lecture, flipped learning with teacher-created videos, flipped classroom with Khan Academy videos) compared in improving students'…
Coding as a Trojan Horse for Mathematics Education Reform
Gadanidis, George
2015-01-01
The history of mathematics educational reform is replete with innovations taken up enthusiastically by early adopters without significant transfer to other classrooms. This paper explores the coupling of coding and mathematics education to create the possibility that coding may serve as a Trojan Horse for mathematics education reform. That is,…
Brelias, Anastasia
2009-01-01
The purpose of this study was to examine the use of socially relevant mathematics applications in high school mathematics classrooms and students' views of mathematics in light of their experiences with these applications. Also, the study sought to determine whether inquiries afforded by these applications incorporated features that promoted…
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.
Codding, Robin S; Petscher, Yaacov; Truckenmiller, Adrea
2015-05-01
A paucity of research has examined the utility of curriculum-based measurement (CBM) for data-based decision making at the secondary level. As schools move to multitiered systems of service delivery, it is conceivable that multiple screening measures will be used that address various academic subject areas. The value of including different CBM indices measures is not well understood. The purpose of this study was to (a) examine the relationship among a variety of reading, writing, and mathematics CBM indices administered to 249 seventh-grade students; (b) investigate amount and patterns of growth; and (c) examine predictive validity to a high-stakes state test using latent factor analysis and multiple indicator growth models. Results indicated strong correspondence among CBM types for fall static scores but weak relationships among slopes. Different patterns of growth were yielded for CBM writing than for CBM reading and mathematics. Findings from this study suggested that although reading, mathematics, and writing CBM were independently and moderately related to both English Language Arts and Math test scores, reading was the strongest predictor when all 3 CBM constructs were considered jointly.
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...
Rosenstein, Joseph G., Ed.; Franzblau, Deborah S., Ed.; Roberts, Fred S., Ed.
This book is a collection of articles by experienced educators and explains why and how discrete mathematics should be taught in K-12 classrooms. It includes evidence for "why" and practical guidance for "how" and also discusses how discrete mathematics can be used as a vehicle for achieving the broader goals of the major…
Mathematical thinking styles of undergraduate students and their achievement in mathematics
Risnanosanti
2017-08-01
The main purpose of this study is to analyze the role of mathematical thinking styles in students' achievement in mathematics. On the basis of this study, it is also to generate recommendation for classroom instruction. The two specific aims are; first to observe students' mathematical thinking styles during problem solving, the second to asses students' achievement in mathematics. The data were collected by using Mathematical Thinking Styles questionnaires and test of students' achievement in mathematics. The subject in this study was 35 students from third year at mathematics study program of Muhammadiyah University of Bengkulu in academic year 2016/2017. The result of this study was that the students have three mathematical thinking styles (analytic, visual, and integrated), and the students who have analytic styles have better achievement than those who have visual styles in mathematics.
Domazet, Sidsel L; Tarp, Jakob; Huang, Tao; Gejl, Anne Kær; Andersen, Lars Bo; Froberg, Karsten; Bugge, Anna
2016-01-01
To examine objectively measured physical activity level, organized sports participation and active commuting to school in relation to mathematic performance and inhibitory control in adolescents. The design was cross-sectional. A convenient sample of 869 sixth and seventh grade students (12-14 years) was invited to participate in the study. A total of 568 students fulfilled the inclusion criteria and comprised the final sample for this study. Mathematic performance was assessed by a customized test and inhibitory control was assessed by a modified Eriksen flanker task. Physical activity was assessed with GT3X and GT3X+ accelerometers presented in sex-specific quartiles of mean counts per minute and mean minutes per day in moderate-to-vigorous physical activity. Active commuting and sports participation was self-reported. Mixed model regression was applied. Total physical activity level was stratified by bicycling status in order to bypass measurement error subject to the accelerometer. Non-cyclists in the 2nd quartile of counts per minute displayed a higher mathematic score, so did cyclists in the 2nd and 3rd quartile of moderate-to-vigorous physical activity relative to the least active quartile. Non-cyclists in the 3rd quartile of counts per minute had an improved reaction time and cyclists in the 2nd quartile of counts per minute and moderate-to-vigorous physical activity displayed an improved accuracy, whereas non-cyclists in the 2nd quartile of counts per minute showed an inferior accuracy relative to the least active quartile. Bicycling to school and organized sports participation were positively associated with mathematic performance. Sports participation and bicycling were positively associated with mathematic performance. Results regarding objectively measured physical activity were mixed. Although, no linear nor dose-response relationship was observed there was no indication of a higher activity level impairing the scholastic or cognitive performance.
Directory of Open Access Journals (Sweden)
Sidsel L Domazet
Full Text Available To examine objectively measured physical activity level, organized sports participation and active commuting to school in relation to mathematic performance and inhibitory control in adolescents.The design was cross-sectional. A convenient sample of 869 sixth and seventh grade students (12-14 years was invited to participate in the study. A total of 568 students fulfilled the inclusion criteria and comprised the final sample for this study. Mathematic performance was assessed by a customized test and inhibitory control was assessed by a modified Eriksen flanker task. Physical activity was assessed with GT3X and GT3X+ accelerometers presented in sex-specific quartiles of mean counts per minute and mean minutes per day in moderate-to-vigorous physical activity. Active commuting and sports participation was self-reported. Mixed model regression was applied. Total physical activity level was stratified by bicycling status in order to bypass measurement error subject to the accelerometer.Non-cyclists in the 2nd quartile of counts per minute displayed a higher mathematic score, so did cyclists in the 2nd and 3rd quartile of moderate-to-vigorous physical activity relative to the least active quartile. Non-cyclists in the 3rd quartile of counts per minute had an improved reaction time and cyclists in the 2nd quartile of counts per minute and moderate-to-vigorous physical activity displayed an improved accuracy, whereas non-cyclists in the 2nd quartile of counts per minute showed an inferior accuracy relative to the least active quartile. Bicycling to school and organized sports participation were positively associated with mathematic performance.Sports participation and bicycling were positively associated with mathematic performance. Results regarding objectively measured physical activity were mixed. Although, no linear nor dose-response relationship was observed there was no indication of a higher activity level impairing the scholastic or cognitive
Huang, Tao; Gejl, Anne Kær; Froberg, Karsten
2016-01-01
Objectives To examine objectively measured physical activity level, organized sports participation and active commuting to school in relation to mathematic performance and inhibitory control in adolescents. Methods The design was cross-sectional. A convenient sample of 869 sixth and seventh grade students (12–14 years) was invited to participate in the study. A total of 568 students fulfilled the inclusion criteria and comprised the final sample for this study. Mathematic performance was assessed by a customized test and inhibitory control was assessed by a modified Eriksen flanker task. Physical activity was assessed with GT3X and GT3X+ accelerometers presented in sex-specific quartiles of mean counts per minute and mean minutes per day in moderate-to-vigorous physical activity. Active commuting and sports participation was self-reported. Mixed model regression was applied. Total physical activity level was stratified by bicycling status in order to bypass measurement error subject to the accelerometer. Results Non-cyclists in the 2nd quartile of counts per minute displayed a higher mathematic score, so did cyclists in the 2nd and 3rd quartile of moderate-to-vigorous physical activity relative to the least active quartile. Non-cyclists in the 3rd quartile of counts per minute had an improved reaction time and cyclists in the 2nd quartile of counts per minute and moderate-to-vigorous physical activity displayed an improved accuracy, whereas non-cyclists in the 2nd quartile of counts per minute showed an inferior accuracy relative to the least active quartile. Bicycling to school and organized sports participation were positively associated with mathematic performance. Conclusions Sports participation and bicycling were positively associated with mathematic performance. Results regarding objectively measured physical activity were mixed. Although, no linear nor dose-response relationship was observed there was no indication of a higher activity level impairing the
Ganesh, A
2009-01-01
About the Book: This book Engineering Mathematics-II is designed as a self-contained, comprehensive classroom text for the second semester B.E. Classes of Visveswaraiah Technological University as per the Revised new Syllabus. The topics included are Differential Calculus, Integral Calculus and Vector Integration, Differential Equations and Laplace Transforms. The book is written in a simple way and is accompanied with explanatory figures. All this make the students enjoy the subject while they learn. Inclusion of selected exercises and problems make the book educational in nature. It shou
Foundations of mathematical analysis
Johnsonbaugh, Richard
2010-01-01
This classroom-tested volume offers a definitive look at modern analysis, with views of applications to statistics, numerical analysis, Fourier series, differential equations, mathematical analysis, and functional analysis. Upper-level undergraduate students with a background in calculus will benefit from its teachings, along with beginning graduate students seeking a firm grounding in modern analysis. A self-contained text, it presents the necessary background on the limit concept, and the first seven chapters could constitute a one-semester introduction to limits. Subsequent chapters discuss
... this page: //medlineplus.gov/ency/article/001534.htm Mathematics disorder To use the sharing features on this page, please enable JavaScript. Mathematics disorder is a condition in which a child's ...
Teaching mathematics to able children
Koshy, Valsa
2012-01-01
This book enables teachers to effectively meet the needs of their most able mathematicians. Using a tried and tested set of principles developed and used by The Able Children's Education Unit at Brunel University, the author demonstrates how to: identify high mathematical ability in a pupil, plan suitably challenging activities and teach them most effectively within the existing National Numeracy framework, make the most of the classroom resources available, including ICT and external agencies, implement strategies for differentiation, illustrated with real-life classroom examples. Ac
Classroom disciplinary climate of schools and gender
DEFF Research Database (Denmark)
Sortkær, Bent; Reimer, David
2018-01-01
Classroom disciplinary climate has emerged as a crucial factor with regard to student achievement. However, most previous studies have not explored potential gender differences in both students’ perceptions of the classroom disciplinary climate and the association between classroom disciplinary...... and students’ mathematics performance across countries. On the basis of an analysis of a pooled sample consisting of all 5 Nordic countries, we found that the correlation between classroom disciplinary climate of schools and maths achievement is significantly stronger for boys than for girls. Further analyses...... showed that this finding may partly be attributable to gender differences in the perception of the disciplinary climate of schools, whereby boys seemed to perceive the classroom disciplinary climate of schools more positively than girls....
Trinajstić, Nenad; Gutman, Ivan
2002-01-01
A brief description is given of the historical development of mathematics and chemistry. A path leading to the meeting of these two sciences is described. An attempt is made to define mathematical chemistry, and journals containing the term mathematical chemistry in their titles are noted. In conclusion, the statement is made that although chemistry is an experimental science aimed at preparing new compounds and materials, mathematics is very useful in chemistry, among other things, to produc...
Investigation of Problem-Solving and Problem-Posing Abilities of Seventh-Grade Students
Arikan, Elif Esra; Ünal, Hasan
2015-01-01
This study aims to examine the effect of multiple problem-solving skills on the problem-posing abilities of gifted and non-gifted students and to assess whether the possession of such skills can predict giftedness or affect problem-posing abilities. Participants' metaphorical images of problem posing were also explored. Participants were 20 gifted…
The Effects of Water Conservation Instruction on Seventh-Grade Students.
Birch, Sandra K.; Schwaab, Karl E.
1983-01-01
Examined effectiveness of water conservation instructional unit in increasing students' (N=843) knowledge of water conservation practices and influencing their attitudes about efficient water use. Also examined assertion that school education programs are effective in promoting water conservation. Overall results indicate the unit was effective on…
Elements of Warfare in the Sixth- and Seventh-Grade Physics Course
Enokhovich, A. S.
1973-01-01
Mechanical movement, pressure, floating bodies, heat phenomena, electrical phenomena, when applied to military problems "for the patriotic edification and military instruction of the children" excite interest and place theory on concrete foundations. Examples of applied physical concepts follow in this article. (Author/JH)
The Use of Creative Drama with Acting-Out Sixth and Seventh Grade Boys and Girls
Allan, John B.
1977-01-01
Describes development and use of creative drama with 30 children over a six month period. Over time, the dramas evolved through four stages: chaos, control and chaos; control; and flexibility. Certain developmental and psychological themes also emerged: narcissism, exhibitionism, activity, orality, dominance, morality, social themes, comedy and…
Bossaert, Goele; Colpin, Hilde; Pijl, Sip Jan; Petry, Katja
2015-01-01
This study focuses on companionship, intimacy, and support of reciprocated friendships of students with autism spectrum disorders (ASD), students with motor and/or sensory disabilities, and typically developing students with their classmates at the start of mainstream secondary school. The study included 1379 typically developing students, 65…
Influences of Math Tracking on Seventh-Grade Students' Self-Beliefs and Social Comparisons
Chiu, Donna; Beru, Yodit; Watley, Erin; Wubu, Selam; Simson, Emma; Kessinger, Robin; Rivera, Anahi; Schmidlein, Patrick; Wigfield, Allan
2008-01-01
The authors examined how math track placement and gender affected 7th-grade students' self-esteem, self-concepts, and social comparisons. Participants were 170 students who completed surveys that assessed their self-esteem, academic self-concepts of ability, and the kinds of social comparisons they make. Results showed that higher track students…
Bossaert, Goele; Colpin, Hilde; Pijl, Sip Jan; Petry, Katja
2015-01-01
This study focuses on companionship, intimacy, and support of reciprocated friendships of students with autism spectrum disorders (ASD), students with motor and/or sensory disabilities, and typically developing students with their classmates at the start of mainstream secondary school. The study
Loneliness among Students with Special Educational Needs in Mainstream Seventh Grade
Bossaert, Goele; Colpin, Hilde; Pijl, Sip Jan; Petry, Katja
2012-01-01
The goals of this study were twofold. The first aim was to explore loneliness prevalence in typically developing students, students with ASD and students with motor and/or sensory disabilities in mainstream 7th grade in Belgium. The second aim was to explore the relations between number of friends,
Kilpatrick, Jeremy
2014-01-01
This paper addresses the contested way that ethnomathematics has sometimes been received by mathematicians and others and what that disagreement might suggest about issues in mathematics education; namely, (a) the relation of ethnomathematics to academic mathematics; (b) recent efforts to reform secondary school mathematics so that it prepares…
Classroom Photographs: Reframing What and How We Notice
Oslund, Joy A.; Crespo, Sandra
2014-01-01
Improving the mathematical experiences of students depends on teachers' commitment and support for reflecting on and learning from their classroom teaching experience. In this article, the authors invite readers to consider using classroom photographs as tools for learning in a professional learning community (PLC) and perhaps as a stepping…
Digital Instructional Strategies and Their Role in Classroom Learning
Yarbro, Jessica; McKnight, Katherine; Elliott, Stephen; Kurz, Alexander; Wardlow, Liane
2016-01-01
Research that examines technology use in the context of daily classroom practices is needed to support the effective digital conversion of classrooms. In this study, 65 seventh- through 10th-grade Mathematics and English Language Arts teachers from six districts across six states logged information about digital strategies they incorporated into…
Teachers' Perceptions of Teaching Mathematics at the Senior Secondary Level in Fiji
Dayal, Hem Chand
2013-01-01
In recent times, there has been considerable interest shown in the affective domain of mathematics education with research findings pointing out that affective variables have profound impact on classroom practices of mathematics teachers. In other words, teachers' conceptions of mathematics and mathematics teaching are greatly influenced by…
Black Girls' Achievement in Middle Grades Mathematics: How Can Socializing Agents Help?
Young, Jemimah L.; Young, Jamaal Rashad; Capraro, Mary Margaret
2017-01-01
The middle grades mathematics classroom is full of transitions that students must overcome to become successful long-term learners of mathematics. This transition can be exorbitantly more tumultuous for Black girls who must overcome gender and racial mathematics achievement stereotypes. Mathematics identities and achievement socialization trends…
Crafting by concepts fiber arts and mathematics
Belcastro, Sarah-Marie
2016-01-01
From the editors of the popular Making Mathematics with Needlework, this book presents projects that highlight the relationship between types of needlework and mathematics. Chapters start with accessible overviews presenting the interplay between mathematical concepts and craft expressions. Following sections explain the mathematics in more detail, and provide suggestions for classroom activities. Each chapter ends with specific crafting instructions. Types of needlework included are knitting, crochet, needlepoint, cross-stitch, quilting, temari balls, beading, tatting, and string art. Instructions are written as ordinary patterns, so the formatting and language will be familiar to crafters.
How Chinese learn mathematics perspectives from insiders
Ngai-Ying, Wong; Lianghuo, Fan; Shiqi, Li
2004-01-01
The book has been written by an international group of very active researchers and scholars who have a passion for the study of Chinese mathematics education. It aims to provide readers with a comprehensive and updated picture of the teaching and learning of mathematics involving Chinese students from various perspectives, including the ways in which Chinese students learn mathematics in classrooms, schools and homes, the influence of the cultural and social environment on Chinese students' mathematics learning, and the strengths and weaknesses of the ways in which Chinese learn mathematics. Furthermore, based on the relevant research findings, the book explores the implications for mathematics education and offers sound suggestions for reform and improvement. This book is a must for anyone who is interested in the teaching and learning of mathematics concerning Chinese learners.
Introduction to mathematical physics methods and concepts
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...
DEFF Research Database (Denmark)
Blomhøj, Morten
2004-01-01
Developing competences for setting up, analysing and criticising mathematical models are normally seen as relevant only from and above upper secondary level. The general belief among teachers is that modelling activities presuppose conceptual understanding of the mathematics involved. Mathematical...... roots for the construction of important mathematical concepts. In addition competences for setting up, analysing and criticising modelling processes and the possible use of models is a formative aim in this own right for mathematics teaching in general education. The paper presents a theoretical...... modelling, however, can be seen as a practice of teaching that place the relation between real life and mathematics into the centre of teaching and learning mathematics, and this is relevant at all levels. Modelling activities may motivate the learning process and help the learner to establish cognitive...
DEFF Research Database (Denmark)
Sørensen, John Aasted
2011-01-01
The objectives of Discrete Mathematics (IDISM2) are: The introduction of the mathematics needed for analysis, design and verification of discrete systems, including the application within programming languages for computer systems. Having passed the IDISM2 course, the student will be able...... to accomplish the following: -Understand and apply formal representations in discrete mathematics. -Understand and apply formal representations in problems within discrete mathematics. -Understand methods for solving problems in discrete mathematics. -Apply methods for solving problems in discrete mathematics......; construct a finite state machine for a given application. Apply these concepts to new problems. The teaching in Discrete Mathematics is a combination of sessions with lectures and students solving problems, either manually or by using Matlab. Furthermore a selection of projects must be solved and handed...
Mathematical Modeling and Pure Mathematics
Usiskin, Zalman
2015-01-01
Common situations, like planning air travel, can become grist for mathematical modeling and can promote the mathematical ideas of variables, formulas, algebraic expressions, functions, and statistics. The purpose of this article is to illustrate how the mathematical modeling that is present in everyday situations can be naturally embedded in…