The Effects of the Elevate Math Summer Program on Math Achievement and Algebra Readiness

Science.gov (United States)

Snipes, Jason; Huang, Chun-Wei; Jaquet, Karina; Finkelstein, Neal

2016-01-01

To raise math success rates in middle school, many schools and districts have implemented summer math programs designed to improve student preparation for algebra content in grade 8. However, little is known about the effectiveness of these programs. While students who participate typically experience learning gains, there is little rigorous…

Evaluation of the MIND Research Institute's Spatial-Temporal Math (ST Math) Program in California

Science.gov (United States)

Wendt, Staci; Rice, John; Nakamoto, Jonathan

2014-01-01

The MIND Research Institute contracted with the Evaluation Research Program at WestEd to conduct an independent assessment of mathematics outcomes in elementary school grades across California that were provided with the ST Math program. Spatial-Temporal (ST) Math is a game-based instructional software designed to boost K-5 and secondary-level…

Basic math and pre-algebra for dummies

CERN Document Server

Zegarelli, Mark

2014-01-01

Tips for simplifying tricky basic math and pre-algebra operations Whether you're a student preparing to take algebra or a parent who wants or needs to brush up on basic math, this fun, friendly guide has the tools you need to get in gear. From positive, negative, and whole numbers to fractions, decimals, and percents, you'll build necessary math skills to tackle more advanced topics, such as imaginary numbers, variables, and algebraic equations. Explanations and practical examples that mirror today's teaching methodsRelevant cultural vernacular and referencesStandard For Dummies materials that

Individual differences in nonverbal number skills predict math anxiety.

Science.gov (United States)

Lindskog, Marcus; Winman, Anders; Poom, Leo

2017-02-01

Math anxiety (MA) involves negative affect and tension when solving mathematical problems, with potentially life-long consequences. MA has been hypothesized to be a consequence of negative learning experiences and cognitive predispositions. Recent research indicates genetic and neurophysiological links, suggesting that MA stems from a basic level deficiency in symbolic numerical processing. However, the contribution of evolutionary ancient purely nonverbal processes is not fully understood. Here we show that the roots of MA may go beyond symbolic numbers. We demonstrate that MA is correlated with precision of the Approximate Number System (ANS). Individuals high in MA have poorer ANS functioning than those low in MA. This correlation remains significant when controlling for other forms of anxiety and for cognitive variables. We show that MA mediates the documented correlation between ANS precision and math performance, both with ANS and with math performance as independent variable in the mediation model. In light of our results, we discuss the possibility that MA has deep roots, stemming from a non-verbal number processing deficiency. The findings provide new evidence advancing the theoretical understanding of the developmental etiology of MA. Copyright © 2016 Elsevier B.V. All rights reserved.

Developmental Math Programs in California Community College: An Analysis of Math Boot Camp at Cosumnes River College

Science.gov (United States)

Powell, Torence J.

2017-01-01

The California Community College system, as an open access institution, is tasked with helping students who possess math skills far below college-level complete math course requirements for obtaining an associate degree or transfer to a university. Colleges have created various developmental math programs to achieve this mission; this paper…

Preschool acuity of the approximate number system correlates with school math ability.

Science.gov (United States)

Libertus, Melissa E; Feigenson, Lisa; Halberda, Justin

2011-11-01

Previous research shows a correlation between individual differences in people's school math abilities and the accuracy with which they rapidly and nonverbally approximate how many items are in a scene. This finding is surprising because the Approximate Number System (ANS) underlying numerical estimation is shared with infants and with non-human animals who never acquire formal mathematics. However, it remains unclear whether the link between individual differences in math ability and the ANS depends on formal mathematics instruction. Earlier studies demonstrating this link tested participants only after they had received many years of mathematics education, or assessed participants' ANS acuity using tasks that required additional symbolic or arithmetic processing similar to that required in standardized math tests. To ask whether the ANS and math ability are linked early in life, we measured the ANS acuity of 200 3- to 5-year-old children using a task that did not also require symbol use or arithmetic calculation. We also measured children's math ability and vocabulary size prior to the onset of formal math instruction. We found that children's ANS acuity correlated with their math ability, even when age and verbal skills were controlled for. These findings provide evidence for a relationship between the primitive sense of number and math ability starting early in life. 2011 Blackwell Publishing Ltd.

Not Just Numbers: Creating a Partnership Climate to Improve Math Proficiency in Schools

Science.gov (United States)

Sheldon, Steven B.; Epstein, Joyce L.; Galindo, Claudia L.

2009-01-01

Although we know that family involvement is associated with stronger math performance, little is known about what educators are doing to effectively involve families and community members, and whether this measurably improves math achievement at their schools. This study used data from 39 schools to assess the effects of family and community involvement activities on school levels of math achievement. The study found that better implementation of math-related practices of family and community involvement predicted stronger support from parents for schools’ partnership programs, which, in turn, helped estimate the percentage of students scoring proficient on math achievement tests. PMID:20200592

Individual differences in non-verbal number acuity correlate with maths achievement.

Science.gov (United States)

Halberda, Justin; Mazzocco, Michèle M M; Feigenson, Lisa

2008-10-02

Human mathematical competence emerges from two representational systems. Competence in some domains of mathematics, such as calculus, relies on symbolic representations that are unique to humans who have undergone explicit teaching. More basic numerical intuitions are supported by an evolutionarily ancient approximate number system that is shared by adults, infants and non-human animals-these groups can all represent the approximate number of items in visual or auditory arrays without verbally counting, and use this capacity to guide everyday behaviour such as foraging. Despite the widespread nature of the approximate number system both across species and across development, it is not known whether some individuals have a more precise non-verbal 'number sense' than others. Furthermore, the extent to which this system interfaces with the formal, symbolic maths abilities that humans acquire by explicit instruction remains unknown. Here we show that there are large individual differences in the non-verbal approximation abilities of 14-year-old children, and that these individual differences in the present correlate with children's past scores on standardized maths achievement tests, extending all the way back to kindergarten. Moreover, this correlation remains significant when controlling for individual differences in other cognitive and performance factors. Our results show that individual differences in achievement in school mathematics are related to individual differences in the acuity of an evolutionarily ancient, unlearned approximate number sense. Further research will determine whether early differences in number sense acuity affect later maths learning, whether maths education enhances number sense acuity, and the extent to which tertiary factors can affect both.

77 FR 37016 - Applications for New Awards: Upward Bound Math and Science Program

Science.gov (United States)

2012-06-20

... DEPARTMENT OF EDUCATION Applications for New Awards: Upward Bound Math and Science Program AGENCY... Bound Math and Science Program. Notice inviting applications for new awards for fiscal year (FY) 2012.... There are three types of grants under the UB Program: regular UB grants, Veterans UB grants, and UB Math...

Approximate number and approximate time discrimination each correlate with school math abilities in young children.

Science.gov (United States)

Odic, Darko; Lisboa, Juan Valle; Eisinger, Robert; Olivera, Magdalena Gonzalez; Maiche, Alejandro; Halberda, Justin

2016-01-01

What is the relationship between our intuitive sense of number (e.g., when estimating how many marbles are in a jar), and our intuitive sense of other quantities, including time (e.g., when estimating how long it has been since we last ate breakfast)? Recent work in cognitive, developmental, comparative psychology, and computational neuroscience has suggested that our representations of approximate number, time, and spatial extent are fundamentally linked and constitute a "generalized magnitude system". But, the shared behavioral and neural signatures between number, time, and space may alternatively be due to similar encoding and decision-making processes, rather than due to shared domain-general representations. In this study, we investigate the relationship between approximate number and time in a large sample of 6-8 year-old children in Uruguay by examining how individual differences in the precision of number and time estimation correlate with school mathematics performance. Over four testing days, each child completed an approximate number discrimination task, an approximate time discrimination task, a digit span task, and a large battery of symbolic math tests. We replicate previous reports showing that symbolic math abilities correlate with approximate number precision and extend those findings by showing that math abilities also correlate with approximate time precision. But, contrary to approximate number and time sharing common representations, we find that each of these dimensions uniquely correlates with formal math: approximate number correlates more strongly with formal math compared to time and continues to correlate with math even when precision in time and individual differences in working memory are controlled for. These results suggest that there are important differences in the mental representations of approximate number and approximate time and further clarify the relationship between quantity representations and mathematics. Copyright �

Is Mathematical Anxiety Always Bad for Math Learning: The Role of Math Motivation

Science.gov (United States)

Wang, Zhe; Lukowski, Sarah L.; Hart, Sara Ann; Lyons, Ian M.; Thompson, Lee A.; Kovas, Yulia; Mazzocco, Michèle M.; Plomin, Robert; Petrill, Stephen A.

2015-01-01

The linear relations between math anxiety and math cognition have been frequently studied. However, the relations between anxiety and performance on complex cognitive tasks have been repeatedly demonstrated to follow a curvilinear fashion. Given the lack of attention to the possibility of such complex interplay between emotion and cognition in the math learning literature, the current study aimed to address this gap via exploring the relations between math anxiety, math motivation, and math cognition. The current study consisted of two samples. One sample included 262 pairs of young adolescent twins and the other included 237 adult college students. Participants self-reported their math anxiety and math motivation. Math cognition was assessed using a comprehensive battery of mathematics tasks. In both samples, results showed inverted-U relations between math anxiety and math performance in students with high intrinsic math motivation, and modest negative associations between math anxiety and math performance in students with low intrinsic math motivation. However, this pattern was not observed in tasks assessing student’s nonsymbolic and symbolic number estimation. These findings may help advance our understanding of mathematics learning processes and may provide important insights for treatment programs that target improving mathematics learning experiences and mathematical skills. PMID:26518438

Holistic Mathematics Instruction: Interactive Problem Solving and Real Life Situations Help Learners Understand Math Concepts.

Science.gov (United States)

Archambeault, Betty

1993-01-01

Holistic math focuses on problem solving with numbers and concepts. Whole math activities for adults include shopping for groceries, eating in restaurants, buying gas, taking medicine, measuring a room, estimating servings, and compiling a family cookbook. (SK)

Big Math for Little Kids

Science.gov (United States)

Greenes, Carole; Ginsburg, Herbert P.; Balfanz, Robert

2004-01-01

"Big Math for Little Kids," a comprehensive program for 4- and 5-year-olds, develops and expands on the mathematics that children know and are capable of doing. The program uses activities and stories to develop ideas about number, shape, pattern, logical reasoning, measurement, operations on numbers, and space. The activities introduce the…

Association between individual differences in non-symbolic number acuity and math performance: a meta-analysis.

Science.gov (United States)

Chen, Qixuan; Li, Jingguang

2014-05-01

Many recent studies have examined the association between number acuity, which is the ability to rapidly and non-symbolically estimate the quantity of items appearing in a scene, and symbolic math performance. However, various contradictory results have been reported. To comprehensively evaluate the association between number acuity and symbolic math performance, we conduct a meta-analysis to synthesize the results observed in previous studies. First, a meta-analysis of cross-sectional studies (36 samples, N = 4705) revealed a significant positive correlation between these skills (r = 0.20, 95% CI = [0.14, 0.26]); the association remained after considering other potential moderators (e.g., whether general cognitive abilities were controlled). Moreover, a meta-analysis of longitudinal studies revealed 1) that number acuity may prospectively predict later math performance (r = 0.24, 95% CI = [0.11, 0.37]; 6 samples) and 2) that number acuity is retrospectively correlated to early math performance as well (r = 0.17, 95% CI = [0.07, 0.26]; 5 samples). In summary, these pieces of evidence demonstrate a moderate but statistically significant association between number acuity and math performance. Based on the estimated effect sizes, power analyses were conducted, which suggested that many previous studies were underpowered due to small sample sizes. This may account for the disparity between findings in the literature, at least in part. Finally, the theoretical and practical implications of our meta-analytic findings are presented, and future research questions are discussed. Copyright © 2014 Elsevier B.V. All rights reserved.

Math and science education programs from the Idaho National Engineering Laboratory

International Nuclear Information System (INIS)

1991-01-01

This booklet reviews math and science education programs at the Idaho National Engineering Laboratory (INEL). The programs can be categorized into six groups: teacher programs; science laboratories for students; student programs; education outreach programs; INEL Public Affairs Office; and programs for college faculty and students

The approximate number system and its relation to early math achievement: evidence from the preschool years.

Science.gov (United States)

Bonny, Justin W; Lourenco, Stella F

2013-03-01

Humans rely on two main systems of quantification; one is nonsymbolic and involves approximate number representations (known as the approximate number system or ANS), and the other is symbolic and allows for exact calculations of number. Despite the pervasiveness of the ANS across development, recent studies with adolescents and school-aged children point to individual differences in the precision of these representations that, importantly, have been shown to relate to symbolic math competence even after controlling for general aspects of intelligence. Such findings suggest that the ANS, which humans share with nonhuman animals, interfaces specifically with a uniquely human system of formal mathematics. Other findings, however, point to a less straightforward picture, leaving open questions about the nature and ontogenetic origins of the relation between these two systems. Testing children across the preschool period, we found that ANS precision correlated with early math achievement but, critically, that this relation was nonlinear. More specifically, the correlation between ANS precision and math competence was stronger for children with lower math scores than for children with higher math scores. Taken together, our findings suggest that early-developing connections between the ANS and mathematics may be fundamentally discontinuous. Possible mechanisms underlying such nonlinearity are discussed. Copyright © 2012 Elsevier Inc. All rights reserved.

Changing the precision of preschoolers’ approximate number system representations changes their symbolic math performance

Science.gov (United States)

Wang, Jinjing (Jenny); Odic, Darko; Halberda, Justin; Feigenson, Lisa

2016-01-01

From early in life, humans have access to an Approximate Number System (ANS) that supports an intuitive sense of numerical quantity. Previous work in both children and adults suggests that individual differences in the precision of ANS representations correlate with symbolic math performance. However, this work has been almost entirely correlational in nature. Here we tested for a causal link between ANS precision and symbolic math performance by asking whether a temporary modulation of ANS precision changes symbolic math performance. First we replicated a recent finding that 5-year-old children make more precise ANS discriminations when starting with easier trials and gradually progressing to harder ones, compared to the reverse. Next, we show that this brief modulation of ANS precision influenced children’s performance on a subsequent symbolic math task, but not a vocabulary task. In a supplemental experiment we present evidence that children who performed ANS discriminations in a random trial order showed intermediate performance both on the ANS task and the symbolic math task, compared to the children who made ordered discriminations. Thus, our results point to a specific causal link from the ANS to symbolic math performance. PMID:27061668

Changing the precision of preschoolers' approximate number system representations changes their symbolic math performance.

Science.gov (United States)

Wang, Jinjing Jenny; Odic, Darko; Halberda, Justin; Feigenson, Lisa

2016-07-01

From early in life, humans have access to an approximate number system (ANS) that supports an intuitive sense of numerical quantity. Previous work in both children and adults suggests that individual differences in the precision of ANS representations correlate with symbolic math performance. However, this work has been almost entirely correlational in nature. Here we tested for a causal link between ANS precision and symbolic math performance by asking whether a temporary modulation of ANS precision changes symbolic math performance. First, we replicated a recent finding that 5-year-old children make more precise ANS discriminations when starting with easier trials and gradually progressing to harder ones, compared with the reverse. Next, we show that this brief modulation of ANS precision influenced children's performance on a subsequent symbolic math task but not a vocabulary task. In a supplemental experiment, we present evidence that children who performed ANS discriminations in a random trial order showed intermediate performance on both the ANS task and the symbolic math task, compared with children who made ordered discriminations. Thus, our results point to a specific causal link from the ANS to symbolic math performance. Copyright © 2016 Elsevier Inc. All rights reserved.

Community translation of the Math Interactive Learning Experience Program for children with FASD.

Science.gov (United States)

Kable, Julie A; Taddeo, Elles; Strickland, Dorothy; Coles, Claire D

2015-04-01

The Math Interactive Learning Experience (MILE), a program designed to address academic and behavioral problems found in children with Fetal Alcohol Spectrum Disorders (FASD), was found to be effective in a randomized clinical trials with results that persisted at a 6-month follow-up. The current study evaluated the effectiveness of a community translation, in partnership with several community sites in the metropolitan Atlanta area. A total of 60 participants were randomly assigned to one of the three treatment groups: the MILE program administered at a specialty care center (Center MILE) or in the community (Community MILE), or to parent math instruction only (Parent Instruction). This study evaluated instructor satisfaction with the training program, knowledge related to FASD and the MILE program, adherence to the MILE teaching methodology, participant math outcomes, and parents' satisfaction with their treatment experience. Instructors reported a high degree of satisfaction with the overall training and mean site fidelity ratings were positively correlated with change in math performance. Those in the MILE intervention groups demonstrated more positive gains in math skills than those in the Parent Instruction group but did not differ from each other. Parents in the Parent Instruction group reported less satisfaction with their intervention than those assigned to the Center MILE group but satisfaction ratings did not differ between those in the MILE intervention groups. These results indicate that the community translation and the MILE instructor training program developed as part of this process were well-received and effective in producing positive treatment outcomes. Copyright © 2014 Elsevier Ltd. All rights reserved.

The effect of visual parameters on neural activation during nonsymbolic number comparison and its relation to math competency.

Science.gov (United States)

Wilkey, Eric D; Barone, Jordan C; Mazzocco, Michèle M M; Vogel, Stephan E; Price, Gavin R

2017-10-01

Nonsymbolic numerical comparison task performance (whereby a participant judges which of two groups of objects is numerically larger) is thought to index the efficiency of neural systems supporting numerical magnitude perception, and performance on such tasks has been related to individual differences in math competency. However, a growing body of research suggests task performance is heavily influenced by visual parameters of the stimuli (e.g. surface area and dot size of object sets) such that the correlation with math is driven by performance on trials in which number is incongruent with visual cues. Almost nothing is currently known about whether the neural correlates of nonsymbolic magnitude comparison are also affected by visual congruency. To investigate this issue, we used functional magnetic resonance imaging (fMRI) to analyze neural activity during a nonsymbolic comparison task as a function of visual congruency in a sample of typically developing high school students (n = 36). Further, we investigated the relation to math competency as measured by the preliminary scholastic aptitude test (PSAT) in 10th grade. Our results indicate that neural activity was modulated by the ratio of the dot sets being compared in brain regions previously shown to exhibit an effect of ratio (i.e. left anterior cingulate, left precentral gyrus, left intraparietal sulcus, and right superior parietal lobe) when calculated from the average of congruent and incongruent trials, as it is in most studies, and that the effect of ratio within those regions did not differ as a function of congruency condition. However, there were significant differences in other regions in overall task-related activation, as opposed to the neural ratio effect, when congruent and incongruent conditions were contrasted at the whole-brain level. Math competency negatively correlated with ratio-dependent neural response in the left insula across congruency conditions and showed distinct correlations when

Changes in frontal-parietal activation and math skills performance following adaptive number sense training: preliminary results from a pilot study.

Science.gov (United States)

Kesler, Shelli R; Sheau, Kristen; Koovakkattu, Della; Reiss, Allan L

2011-08-01

Number sense is believed to be critical for math development. It is putatively an implicitly learned skill and may therefore have limitations in terms of being explicitly trained, particularly in individuals with altered neurodevelopment. A case series study was conducted using an adaptive, computerised programme that focused on number sense and general problem-solving skills. The study was designed to investigate training effects on performance as well as brain function in a group of children with Turner syndrome who are at risk for math difficulties and altered development of math-related brain networks. Standardised measurements of math and math-related cognitive skills as well as functional magnetic resonance imaging (fMRI) were used to assess behavioural and neurobiological outcomes following training. Participants demonstrated significantly increased basic math skills, including number sense, and calculation as well as processing speed, cognitive flexibility and visual-spatial processing skills. With the exception of calculation, increased scores also were clinically significant (i.e., recovered) based on reliable change analysis. Participants additionally demonstrated significantly increased bilateral parietal lobe activation and decreased frontal-striatal and mesial temporal activation following the training programme. These findings show proof of concept for an accessible training approach that may be potentially associated with improved number sense, math and related skills, as well as functional changes in math-related neural systems, even among individuals at risk for altered brain development.

The Relation between Teachers' Math Talk and the Acquisition of Number Sense within Kindergarten Classrooms

Science.gov (United States)

Boonen, Anton J. H.; Kolkman, Meijke E.; Kroesbergen, Evelyn H.

2011-01-01

The aim of the present study was to investigate the relation between teachers' math talk and the acquisition of number sense within kindergarten classrooms. The mathematical language input provided by 35 kindergarten teachers was examined with 9 different input categories. The results of this study indicate that the role of each of these math talk…

The Influence of Experiencing Success in Math on Math Anxiety, Perceived Math Competence, and Math Performance

Science.gov (United States)

Jansen, Brenda R. J.; Louwerse, Jolien; Straatemeier, Marthe; Van der Ven, Sanne H. G.; Klinkenberg, Sharon; Van der Maas, Han L. J.

2013-01-01

It was investigated whether children would experience less math anxiety and feel more competent when they, independent of ability level, experienced high success rates in math. Comparable success rates were achieved by adapting problem difficulty to individuals' ability levels with a computer-adaptive program. A total of 207 children (grades 3-6)…

Developmental Changes in the Whole Number Bias

Science.gov (United States)

Braithwaite, David W.; Siegler, Robert S.

2018-01-01

Many students' knowledge of fractions is adversely affected by whole number bias, the tendency to focus on the separate whole number components (numerator and denominator) of a fraction rather than on the fraction's magnitude (ratio of numerator to denominator). Although whole number bias appears early in the fraction learning process and under…

Developmental Math Students and College-Level Coursework. Data Notes. Volume 1, Number 8, November/December 2006

Science.gov (United States)

Clery, Sue

2006-01-01

Using data from Achieving the Dream: Community Colleges Count, this issue examines the percentages and numbers of students who attempted and completed both developmental and college-level math. The analysis reveals that a large portion of students either do not attempt or do not complete developmental math coursework. Furthermore, the data show…

The approximate number system and domain-general abilities as predictors of math ability in children with normal hearing and hearing loss.

Science.gov (United States)

Bull, Rebecca; Marschark, Marc; Nordmann, Emily; Sapere, Patricia; Skene, Wendy A

2018-06-01

Many children with hearing loss (CHL) show a delay in mathematical achievement compared to children with normal hearing (CNH). This study examined whether there are differences in acuity of the approximate number system (ANS) between CHL and CNH, and whether ANS acuity is related to math achievement. Working memory (WM), short-term memory (STM), and inhibition were considered as mediators of any relationship between ANS acuity and math achievement. Seventy-five CHL were compared with 75 age- and gender-matched CNH. ANS acuity, mathematical reasoning, WM, and STM of CHL were significantly poorer compared to CNH. Group differences in math ability were no longer significant when ANS acuity, WM, or STM was controlled. For CNH, WM and STM fully mediated the relationship of ANS acuity to math ability; for CHL, WM and STM only partially mediated this relationship. ANS acuity, WM, and STM are significant contributors to hearing status differences in math achievement, and to individual differences within the group of CHL. Statement of contribution What is already known on this subject? Children with hearing loss often perform poorly on measures of math achievement, although there have been few studies focusing on basic numerical cognition in these children. In typically developing children, the approximate number system predicts math skills concurrently and longitudinally, although there have been some contradictory findings. Recent studies suggest that domain-general skills, such as inhibition, may account for the relationship found between the approximate number system and math achievement. What does this study adds? This is the first robust examination of the approximate number system in children with hearing loss, and the findings suggest poorer acuity of the approximate number system in these children compared to hearing children. The study addresses recent issues regarding the contradictory findings of the relationship of the approximate number system to math ability

Math Games 180 Reproducible Activities to Motivate, Excite, and Challenge Students, Grades 6-12

CERN Document Server

Muschla, Judith A

2011-01-01

Math Games offers a dynamic collection of 180 reproducible activity sheets to stimulate and challenge your students in all areas of math - from whole numbers to data analysis - while emphasizing problem solving, critical thinking, and the use of technology for today's curriculum! Each of the book's activities can help you teach students in grades 6 through 12 how to think with numbers, recognize relationships, and make connections between mathematical concepts. You pick the activity appropriate for their needs . . . encourage the use of a calculator . . . or provide further challenges with act

Advanced Math Equals Career Readiness. Math Works

Science.gov (United States)

Achieve, Inc., 2013

2013-01-01

The equation is simple: No matter their background, students who take challenging math courses in high school get better jobs and earn more money throughout their entire lives. This paper stresses that: (1) Higher-level math opens doors for any and all postsecondary programs and keeps it open for advancement beyond entry-level jobs; and (2)…

WWC Review of the Report "The Effects of Math Video Games on Learning." What Works Clearinghouse Single Study Review

Science.gov (United States)

What Works Clearinghouse, 2015

2015-01-01

In the 2014 study, "The Effects of Math Video Games on Learning," researchers examined the impacts of math video games on the fractions knowledge of 1,468 sixth-grade students in 23 schools. The video games focused on fractions concepts including: whole units, numerator and denominator, understanding the number line, fractions…

Math Anxiety Is Related to Some, but Not All, Experiences with Math

OpenAIRE

Krystle O'Leary; Cheryll L. Fitzpatrick; Darcy Hallett

2017-01-01

Math anxiety has been defined as unpleasant feelings of tension and anxiety that hinder the ability to deal with numbers and math in a variety of situations. Although many studies have looked at situational and demographic factors associated with math anxiety, little research has looked at the self-reported experiences with math that are associated with math anxiety. The present study used a mixed-methods design and surveyed 131 undergraduate students about their experiences with math through...

Addressing the Math-Practice Gap in Elementary School: Are Tablets a Feasible Tool for Informal Math Practice?

Science.gov (United States)

Stacy, Sara T; Cartwright, Macey; Arwood, Zjanya; Canfield, James P; Kloos, Heidi

2017-01-01

Students rarely practice math outside of school requirements, which we refer to as the "math-practice gap". This gap might be the reason why students struggle with math, making it urgent to develop means by which to address it. In the current paper, we propose that math apps offer a viable solution to the math-practice gap: Online apps can provide access to a large number of problems, tied to immediate feedback, and delivered in an engaging way. To substantiate this conversation, we looked at whether tablets are sufficiently engaging to motivate children's informal math practice. Our approach was to partner with education agencies via a community-based participatory research design. The three participating education agencies serve elementary-school students from low-SES communities, allowing us to look at tablet use by children who are unlikely to have extensive access to online math enrichment programs. At the same time, the agencies differed in several structural details, including whether our intervention took place during school time, after school, or during the summer. This allowed us to shed light on tablet feasibility under different organizational constraints. Our findings show that tablet-based math practice is engaging for young children, independent of the setting, the student's age, or the math concept that was tackled. At the same time, we found that student engagement was a function of the presence of caring adults to facilitate their online math practice.

Transfinite Numbers

Indian Academy of Sciences (India)

this is a characteristic difference between finite and infinite sets and created an immensely useful branch of mathematics based on this idea which had a great impact on the whole of mathe- matics. For example, the question of what is a number (finite or infinite) is almost a philosophical one. However Cantor's work turned it ...

Lean and Efficient Software: Whole Program Optimization of Executables

Science.gov (United States)

2016-12-31

19b. TELEPHONE NUMBER (Include area code) 12/31/2016 Final Technical Report (Phase I - Base Period) 30-06-2014 - 31-12-2016 Lean and Efficient...Software: Whole-Program Optimization of Executables Final Report Evan Driscoll Tom Johnson GrammaTech, Inc. 531 Esty Street Ithaca, NY 14850 Office of...hardening U U U UU 30 Tom Johnson (607) 273-7340 x.134 Page 1 of 30 “ Lean and Efficient Software: Whole-Program Optimization of Executables

Math and Movement: Practical Ways to Incorporate Math into Physical Education

Science.gov (United States)

Wade, Marcia

2016-01-01

Each year, physical educators are asked to incorporate even more math, language arts, science and social studies into their curriculum. The challenge is how to do this without sacrificing the essential health and life skills provided by a quality physical education program. One program, Math & Movement, is a great aid for physical educators to…

Math anxiety and math performance in children: The mediating roles of working memory and math self-concept.

Science.gov (United States)

Justicia-Galiano, M José; Martín-Puga, M Eva; Linares, Rocío; Pelegrina, Santiago

2017-12-01

Numerous studies, most of them involving adolescents and adults, have evidenced a moderate negative relationship between math anxiety and math performance. There are, however, a limited number of studies that have addressed the mechanisms underlying this relation. This study aimed to investigate the role of two possible mediational mechanisms between math anxiety and math performance. Specifically, we sought to test the simultaneous mediating role of working memory and math self-concept. A total of 167 children aged 8-12 years participated in this study. Children completed a set of questionnaires used to assess math and trait anxiety, math self-concept as well as measures of math fluency and math problem-solving. Teachers were asked to rate each student's math achievement. As measures of working memory, two backward span tasks were administered to the children. A series of multiple mediation analyses were conducted. Results indicated that both mediators (working memory and math self-concept) contributed to explaining the relationship between math anxiety and math achievement. Results suggest that working memory and self-concept could be worth considering when designing interventions aimed at helping students with math anxiety. Longitudinal designs could also be used to better understand the mediational mechanisms that may explain the relationship between math anxiety and math performance. © 2017 The British Psychological Society.

Expedition Zenith: Experiences of eighth grade girls in a non-traditional math/science program

Science.gov (United States)

Ulm, Barbara Jean

2004-11-01

This qualitative study describes the experiences of a group of sixteen, eighth grade girls participating in a single-sex, math/science program based on gender equity research and constructivist theory. This phenomenological case study highlights the individual changes each girl perceives in herself as a result of her involvement in this program which was based at a suburban middle school just north of New York City. Described in narrative form is what took place during this single-sex program. At the start of the program the girls worked cooperatively in groups to build canoes. The canoes were then used to study a wetland during the final days of the program. To further immerse the participants into nature, the girls also camped during these final days. Data were collected from a number of sources to uncover, as fully as possible, the true essence of the program and the girls' experiences in it. The data collection methods included direct observation; in-depth, open-ended interviews; and written documentation. As a result of data collection, the girls' perceived outcomes and assessment of the program, as well as their recommendations for future math/science programs are revealed. The researcher in this study also acted as teacher, directing the program, and as participant to better understand the experiences of the girls involved in the program. Thus, unique insights could be made. The findings in this study provide insight into the learning of the participants, as well as into the relationships they formed both inside and outside of the program. Their perceived experiences and assessment of the program were then used to develop a greater understanding as to the effectiveness of this non-traditional program. Although this study echoed much of what research says about the needs of girls in learning situations, and therefore, reinforces previously accepted beliefs, it also reveals significant findings in areas previously unaddressed by gender studies. For example

Teaching Math Their Way.

Science.gov (United States)

Tankersley, Karen

1993-01-01

Teachers at a K-8 urban school in Phoenix, Arizona, worked to develop an effective math program that generated student interest and positive self-esteem. They eventually set aside classroom and large enclosed porch area to house math manipulative lab, where children could learn new concepts at concrete level. Results are excitement about math and…

Manufacturing Math Classes: An Instructional Program Guide for Manufacturing Workers.

Science.gov (United States)

McBride, Pamela G.; And Others

This program guide documents a manufacturing job family curriculum that develops competence in generic work force education skills through three courses: Reading Rulers, Charts, and Gauges and Math for Manufacturing Workers I and II. An annotated table of contents lists a brief description of the questions answered in each section. An introduction…

Minimum-complexity helicopter simulation math model

Science.gov (United States)

Heffley, Robert K.; Mnich, Marc A.

1988-01-01

An example of a minimal complexity simulation helicopter math model is presented. Motivating factors are the computational delays, cost, and inflexibility of the very sophisticated math models now in common use. A helicopter model form is given which addresses each of these factors and provides better engineering understanding of the specific handling qualities features which are apparent to the simulator pilot. The technical approach begins with specification of features which are to be modeled, followed by a build up of individual vehicle components and definition of equations. Model matching and estimation procedures are given which enable the modeling of specific helicopters from basic data sources such as flight manuals. Checkout procedures are given which provide for total model validation. A number of possible model extensions and refinement are discussed. Math model computer programs are defined and listed.

Collaboration between Mathematics Facilitators and Preschool Teachers Using the Innovative "Senso-Math" Preschool Program

Science.gov (United States)

Hassidov, Dina; Ilany, Bat-Sheva

2018-01-01

This article presents a mixed-method study of the innovative "Senso-Math" preschool program and the reactions of both the facilitators, who underwent a special training program, and the preschool teachers in whose classes the program was implemented. The goal of the program is to enhance mathematical development in preschool children…

Number Sense: Strategies for Helping Preschool through Grade 3 Children Develop Math Skills

Science.gov (United States)

Witzel, Bradley S.; Ferguson, Christine J.; Mink, Deborah V.

2012-01-01

Number sense development in young children has been linked to future math achievement in a manner similar to the way phonological awareness (i.e., children's awareness and use of sounds within a language to make meaning) has been linked to reading achievement (e.g., Kosanovich, Weinstein, & Goldman 2009). That is, they may be indicators of future…

Calculator: A Hardware Design, Math and Software Programming Project Base Learning

Directory of Open Access Journals (Sweden)

F. Criado

2015-03-01

Full Text Available This paper presents the implementation by the students of a complex calculator in hardware. This project meets hardware design goals, and also highly motivates them to use competences learned in others subjects. The learning process, associated to System Design, is hard enough because the students have to deal with parallel execution, signal delay, synchronization … Then, to strengthen the knowledge of hardware design a methodology as project based learning (PBL is proposed. Moreover, it is also used to reinforce cross subjects like math and software programming. This methodology creates a course dynamics that is closer to a professional environment where they will work with software and mathematics to resolve the hardware design problems. The students design from zero the functionality of the calculator. They are who make the decisions about the math operations that it is able to resolve it, and also the operands format or how to introduce a complex equation into the calculator. This will increase the student intrinsic motivation. In addition, since the choices may have consequences on the reliability of the calculator, students are encouraged to program in software the decisions about how implement the selected mathematical algorithm. Although math and hardware design are two tough subjects for students, the perception that they get at the end of the course is quite positive.

Math Anxiety Is Related to Some, but Not All, Experiences with Math.

Science.gov (United States)

O'Leary, Krystle; Fitzpatrick, Cheryll L; Hallett, Darcy

2017-01-01

Math anxiety has been defined as unpleasant feelings of tension and anxiety that hinder the ability to deal with numbers and math in a variety of situations. Although many studies have looked at situational and demographic factors associated with math anxiety, little research has looked at the self-reported experiences with math that are associated with math anxiety. The present study used a mixed-methods design and surveyed 131 undergraduate students about their experiences with math through elementary school, junior high, and high school, while also assessing math anxiety, general anxiety, and test anxiety. Some reported experiences (e.g., support in high school, giving students plenty of examples) were significantly related to the level of math anxiety, even after controlling for general and test anxiety, but many other factors originally thought to be related to math anxiety did not demonstrate a relation in this study. Overall, this study addresses a gap in the literature and provides some suggestive specifics of the kinds of past experiences that are related to math anxiety and those that are not.

Math Anxiety Is Related to Some, but Not All, Experiences with Math

Directory of Open Access Journals (Sweden)

Krystle O'Leary

2017-12-01

Full Text Available Math anxiety has been defined as unpleasant feelings of tension and anxiety that hinder the ability to deal with numbers and math in a variety of situations. Although many studies have looked at situational and demographic factors associated with math anxiety, little research has looked at the self-reported experiences with math that are associated with math anxiety. The present study used a mixed-methods design and surveyed 131 undergraduate students about their experiences with math through elementary school, junior high, and high school, while also assessing math anxiety, general anxiety, and test anxiety. Some reported experiences (e.g., support in high school, giving students plenty of examples were significantly related to the level of math anxiety, even after controlling for general and test anxiety, but many other factors originally thought to be related to math anxiety did not demonstrate a relation in this study. Overall, this study addresses a gap in the literature and provides some suggestive specifics of the kinds of past experiences that are related to math anxiety and those that are not.

Math Anxiety and Math Performance in Children: The Mediating Roles of Working Memory and Math Self-Concept

Science.gov (United States)

Justicia-Galiano, M. José; Martín-Puga, M. Eva; Linares, Rocío; Pelegrina, Santiago

2017-01-01

Background: Numerous studies, most of them involving adolescents and adults, have evidenced a moderate negative relationship between math anxiety and math performance. There are, however, a limited number of studies that have addressed the mechanisms underlying this relation. Aims: This study aimed to investigate the role of two possible…

Enhancing the Math and Science Experiences of Latinas and Latinos: A Study of the Joaquin Bustoz Math-Science Honors Program

Science.gov (United States)

Escontrias, Gabriel, Jr.

Latinas and Latinos are currently underrepresented in terms of our 21 st century student academic attainment and workforce, compared to the total U.S. Hispanic population. In a field such as mathematical sciences, Hispanic or Latino U.S. citizenship doctoral recipients only accounted for 3.04% in 2009--2010. While there are various initiatives to engage underrepresented STEM populations through education, there is a need to give a voice to the experiences of Latinas and Latinos engaged in such programs. This study explored the experiences of seven Arizona State University undergraduate Latina and Latino Joaquin Bustoz Math-Science Honors Program (JBMSHP) participants as well as examined how the program enhanced their math and science learning experiences. Participants attended either a five-week or eight-week program and ranged in attendance from 2006 to 2011. Students were provided an opportunity to begin university mathematics and science studies before graduating high school. Through a demographic survey and one-on-one guided interview, participants shared their personal journey, their experience in the JBMSHP, and their goals. Using grounded theory, a qualitative research approach, this study focuses on the unique experiences of Latina and Latino participants. Four major themes emerged from the analysis of the data. Each participant applied to the program with a foundation in which they sought to challenge themselves academically through mathematics and/or science. Through their involvement it the JBMSHP, participants recognized benefits during and after the program. All participants recognized the value of these benefits and their participation and praised the program. Overall, the JBMSHP provided the students the resources to grow their academic capital and if they chose seek a STEM related bachelor degree. The results of this study emphasize the need to expand the JBMSHP both within Arizona and nationally. In addition, there is a need to explore the other

Survey of Whole House Programs in Midwestern Climates

Energy Technology Data Exchange (ETDEWEB)

McGeough, U.; Baker, W.; Peters, J.; Beitel, A.

2012-11-01

Existing single family whole home energy efficiency programs in cold weather climates, focused on the Midwest, were analyzed in detail to understand program design, including requirements, processes, incentives and outcomes, focusing on savings and participation. The report presents information about specific programs, aggregated program trends and observations, and recommendations for future cold weather climate whole home program design and implementation. This study makes several recommendations to whole home program designers and implementers on improving the cost-effectiveness and reach of whole home programs.

Survey of Whole House Programs in Midwestern Climates

Energy Technology Data Exchange (ETDEWEB)

McGeough, U. [Partnership for Advanced Residential Retrofit (PARR), Des Plaines, IL (United States); Baker, W. [Partnership for Advanced Residential Retrofit (PARR), Des Plaines, IL (United States); Peters, J. [Partnership for Advanced Residential Retrofit (PARR), Des Plaines, IL (United States); Beitel, A. [Partnership for Advanced Residential Retrofit (PARR), Des Plaines, IL (United States)

2012-11-01

In this project, existing single-family whole home energy efficiency programs in cold weather climates, focused on the Midwest, were analyzed in detail to understand program design, including requirements, processes, incentives and outcomes, focusing on savings and participation. The report presents information about specific programs, aggregated program trends and observations, and recommendations for future cold weather climate whole home program design and implementation. This study makes several recommendations to whole home program designers and implementers on improving the cost effectiveness and reach of whole home programs.

MathSci

OpenAIRE

De Robbio, Antonella

1997-01-01

This paper shows the prestigious mathematics database MathSci, produced by American Mathematical Society (AMS). It is an indexing resource that deals with the whole literature about mathematics. The subject involved in referred to mathematical sciences and others relating such as Statistics, Information science, Operative research and Mathematics Physics. Moreover it indexes sciences related to applied mathematics such as Astronomy, Astrophysics, Biology, Compartmental Sciences, Thermodyn...

The influence of female social models in corporate STEM initiatives on girls' math and science attitudes

Science.gov (United States)

Medeiros, Donald J.

The United States' Science, Technology, Engineering, and Mathematics (STEM) workforce is growing slower than in the past, in comparison to demand, and in comparison to other countries. Competitive talent conditions require the United States to develop a strong pipeline of STEM talent within its own citizens. Given the number of female college graduates and their underrepresentation in the STEM workforce, women provide the greatest opportunity for fulfilling this need. The term social model represents the individuals and media that shape children's self-perceptions. Social models have been shown to positively influence girl's perceptions of the value of math and science as well as their expectations of success. This study examined differences in attitudes towards math and science among student participants in corporate STEM programs. Differences were measured based on participant gender and ethnicity, their mentor's gender and ethnicity, and program design differences. The research purpose was to inform the design of corporate STEM programs to improve female participants' attitudes towards math and science and eventually increase the number of women in the STEM workforce. Over three hundred students in differing corporate STEM programs completed math and science attitudinal scales at the start and end of their programs. Study results revealed, prior to program start, female participants had a better attitude towards math and science than male participants. Analysis of the Trends in International Mathematics and Science Study data showed similar results. Overall program results demonstrated higher post program math and science attitudes with no differences based on gender, age, or ethnicity of the participant or mentor. Participants with high program or mentor satisfaction were found to have higher attitudes towards math and science. These results may suggest improving female academic choice requires more focus on their expectations of success than perceived task

Classification of whole wheat flour using a dimensionless number.

Science.gov (United States)

Sehn, Georgia Ane Raquel; Steel, Caroline Joy

2017-11-01

The rheological standards currently used for classifying refined wheat flour for technological quality of bread are also used for whole wheat flours. The aim of this study was to evaluate the rheological and technological behavior of different whole wheat flours, as well as pre-mixes of refined wheat flour with different replacement levels of wheat bran, to develop a dimensionless number that assigns a numerical scale using results of rheological parameters to solve this problem. Through farinograph and extensograph results, most whole wheat flours evaluated presented parameters recommended for bread making, according to the current classification. However, the specific volume of breads elaborated with these flours was not suitable, that is, the rheological analyses were not able to predict the specific volume of pan bread. The development of the Sehn-Steel dimensionless number allowed establishing a classification of whole wheat flours as "suitable" (Sehn-Steel dimensionless number between 62 and 200) or "unsuitable" for the production of pan bread (Sehn-Steel dimensionless number lower than 62). Moreover, an equation that can predict the specific volume of whole pan bread through this dimensionless number was developed.

An Annotated Math Lab Inventory.

Science.gov (United States)

Schussheim, Joan Yares

1980-01-01

A listing of mathematics laboratory material is organized as follows: learning kits, tape programs, manipulative learning materials, publications, math games, math lab library, and an alphabetized listing of publishers and/or companies offering materials. (MP)

Building a Math-Positive Culture: How to Support Great Math Teaching in Your School (ASCD Arias)

Science.gov (United States)

Seeley, Cathy L.

2016-01-01

Cathy L. Seeley, former president of the National Council of Teachers of Mathematics, turns the spotlight on administrative leaders who are seeking to improve their math programs, offering an overview of what an effective program looks like and examples of actions to take to achieve that goal. "Building a Math-Positive Culture" addresses…

Persistent consequences of atypical early number concepts

Directory of Open Access Journals (Sweden)

Michèle M. M. Mazzocco

2013-09-01

Full Text Available How does symbolic number knowledge performance help identify young children at risk for poor mathematics achievement outcomes? In research and practice, classification of mathematics learning disability (MLD, or dyscalculia is typically based on composite scores from broad measures of mathematics achievement. These scores do predict later math achievement levels, but do not specify the nature of math difficulties likely to emerge among students at greatest risk for long-term mathematics failure. Here we report that gaps in 2nd and 3rd graders’ number knowledge predict specific types of errors made on math assessments at Grade 8. Specifically, we show that early whole number misconceptions predict slower and less accurate performance, and atypical computational errors, on Grade 8 arithmetic tests. We demonstrate that basic number misconceptions can be detected by idiosyncratic responses to number knowledge items, and that when such misconceptions are evident during primary school they persist throughout the school age years, with variable manifestation throughout development. We conclude that including specific qualitative assessments of symbolic number knowledge in primary school may provide greater specificity of the types of difficulties likely to emerge among students at risk for poor mathematics outcomes.

RFI Math Model programs for predicting intermodulation interference

Science.gov (United States)

Stafford, J. M.

1974-01-01

Receivers operating on a space vehicle or an aircraft having many on-board transmitters are subject to intermodulation interference from mixing in the transmitting antenna systems, the external environment, or the receiver front-ends. This paper presents the techniques utilized in RFI Math Model computer programs that were developed to aid in the prevention of interference by predicting problem areas prior to occurrence. Frequencies and amplitudes of possible intermodulation products generated in the external environment are calculated and compared to receiver sensitivities. Intermodulation products generated in receivers are evaluated to determine the adequacy of preselector ejection.

An Integrated Theory of Whole Number and Fractions Development

Science.gov (United States)

Siegler, Robert S.; Thompson, Clarissa A.; Schneider, Michael

2011-01-01

This article proposes an integrated theory of acquisition of knowledge about whole numbers and fractions. Although whole numbers and fractions differ in many ways that influence their development, an important commonality is the centrality of knowledge of numerical magnitudes in overall understanding. The present findings with 11- and 13-year-olds…

Parent-child math anxiety and math-gender stereotypes predict adolescents' math education outcomes.

Science.gov (United States)

Casad, Bettina J; Hale, Patricia; Wachs, Faye L

2015-01-01

Two studies examined social determinants of adolescents' math anxiety including parents' own math anxiety and children's endorsement of math-gender stereotypes. In Study 1, parent-child dyads were surveyed and the interaction between parent and child math anxiety was examined, with an eye to same- and other-gender dyads. Results indicate that parent's math anxiety interacts with daughters' and sons' anxiety to predict math self-efficacy, GPA, behavioral intentions, math attitudes, and math devaluing. Parents with lower math anxiety showed a positive relationship to children's math outcomes when children also had lower anxiety. The strongest relationships were found with same-gender dyads, particularly Mother-Daughter dyads. Study 2 showed that endorsement of math-gender stereotypes predicts math anxiety (and not vice versa) for performance beliefs and outcomes (self-efficacy and GPA). Further, math anxiety fully mediated the relationship between gender stereotypes and math self-efficacy for girls and boys, and for boys with GPA. These findings address gaps in the literature on the role of parents' math anxiety in the effects of children's math anxiety and math anxiety as a mechanism affecting performance. Results have implications for interventions on parents' math anxiety and dispelling gender stereotypes in math classrooms.

Girls Talk Math - Engaging Girls Through Math Media

Science.gov (United States)

Bernardi, Francesca; Morgan, Katrina

2017-11-01

``Girls Talk Math: Engaging Girls through Math Media'' is a free two-week long summer day camp for high-school girls in the Triangle area of NC. This past June the camp had its second run thanks to renewed funding from the Mathematical Association of America Tensor Women and Mathematics Grant. The camp involved 35 local high-school students who identify as female. Campers complete challenging problem sets and research the life of a female scientist who worked on similar problems. They report their work in a blog post and record a podcast about the scientist they researched. The curriculum has been developed by Mathematics graduate students at UNC from an inquiry based learning perspective; problem sets topics include some theoretical mathematics, but also more applied physics-based material. Campers worked on fluid dynamics, special relativity, and quantum mechanics problem sets which included experiments. The camp has received positive feedback from the local community and the second run saw a large increase in the number of participants. The program is evaluated using pre and post surveys, which measure campers' confidence and interest in pursuing higher level courses in STEM. The results from the past two summers have been encouraging. Mathematical Association of America Tensor Women and Mathematics Grant.

Parent-child math anxiety and math-gender stereotypes predict adolescents' math education outcomes

Science.gov (United States)

Casad, Bettina J.; Hale, Patricia; Wachs, Faye L.

2015-01-01

Two studies examined social determinants of adolescents' math anxiety including parents' own math anxiety and children's endorsement of math-gender stereotypes. In Study 1, parent-child dyads were surveyed and the interaction between parent and child math anxiety was examined, with an eye to same- and other-gender dyads. Results indicate that parent's math anxiety interacts with daughters' and sons' anxiety to predict math self-efficacy, GPA, behavioral intentions, math attitudes, and math devaluing. Parents with lower math anxiety showed a positive relationship to children's math outcomes when children also had lower anxiety. The strongest relationships were found with same-gender dyads, particularly Mother-Daughter dyads. Study 2 showed that endorsement of math-gender stereotypes predicts math anxiety (and not vice versa) for performance beliefs and outcomes (self-efficacy and GPA). Further, math anxiety fully mediated the relationship between gender stereotypes and math self-efficacy for girls and boys, and for boys with GPA. These findings address gaps in the literature on the role of parents' math anxiety in the effects of children's math anxiety and math anxiety as a mechanism affecting performance. Results have implications for interventions on parents' math anxiety and dispelling gender stereotypes in math classrooms. PMID:26579000

Parent-Child Math Anxiety and Math-Gender Stereotypes Predict Adolescents’ Math Education Outcomes

Directory of Open Access Journals (Sweden)

Bettina J Casad

2015-11-01

Full Text Available Two studies examined social determinants of adolescents’ math anxiety including parents’ own math anxiety and children’s endorsement of math-gender stereotypes. In study 1, parent-child dyads were surveyed and the interaction between parent and child math anxiety was examined, with an eye to same- and other-gender dyads. Results indicate that parent’s math anxiety interacts with daughters’ and sons’ anxiety to predict math self-efficacy, GPA, behavioral intentions, math attitudes, and math devaluing. Parents with lower math anxiety showed a positive relationship to children’s math outcomes when children also had lower anxiety. The strongest relationships were found with same-gender dyads, particularly Mother-Daughter dyads. Study 2 showed that endorsement of math-gender stereotypes predicts math anxiety (and not vice versa for performance beliefs and outcomes (self-efficacy and GPA. Further, math anxiety fully mediated the relationship between gender stereotypes and math self-efficacy for girls and for boys, and for boys with GPA. These findings address gaps in the literature on the role of parents’ math anxiety in the effects of children’s math anxiety and math anxiety as a mechanism affecting performance. Results have implications for interventions on parents’ math anxiety and dispelling gender stereotypes in math classrooms.

Working memory, math performance, and math anxiety.

Science.gov (United States)

Ashcraft, Mark H; Krause, Jeremy A

2007-04-01

The cognitive literature now shows how critically math performance depends on working memory, for any form of arithmetic and math that involves processes beyond simple memory retrieval. The psychometric literature is also very clear on the global consequences of mathematics anxiety. People who are highly math anxious avoid math: They avoid elective coursework in math, both in high school and college, they avoid college majors that emphasize math, and they avoid career paths that involve math. We go beyond these psychometric relationships to examine the cognitive consequences of math anxiety. We show how performance on a standardized math achievement test varies as a function of math anxiety, and that math anxiety compromises the functioning of working memory. High math anxiety works much like a dual task setting: Preoccupation with one's math fears and anxieties functions like a resource-demanding secondary task. We comment on developmental and educational factors related to math and working memory, and on factors that may contribute to the development of math anxiety.

Culture and math.

Science.gov (United States)

Tcheang, Lili

2014-01-01

Cultural differences have been shown across a number of different cognitive domains from vision, language, and music. Mathematical cognition is another domain that is an integral part of modern society and because there are a fixed number of ways in which many math operations can be performed, it is also an apposite tool for cultural comparisons. This discussion examines the literature on mathematical processing in accordance with culture, summarizing the brain regions involved across various mathematical tasks. In doing so, we provide a clear picture of the anatomical similarities and differences between cultures when performing different math tasks. This information is useful to explore the possibility of enhancement of mathematical skills, where different strategies may be applicable in accordance with culture. It also contributes to the evolutionary development of different math skills and the growing theory that anatomical and behavioral studies must account for the cultural identity of their sample.

Young children's non-numerical ordering ability at the start of formal education longitudinally predicts their symbolic number skills and academic achievement in maths.

Science.gov (United States)

O'Connor, Patrick A; Morsanyi, Kinga; McCormack, Teresa

2018-01-25

Ordinality is a fundamental feature of numbers and recent studies have highlighted the role that number ordering abilities play in mathematical development (e.g., Lyons et al., ), as well as mature mathematical performance (e.g., Lyons & Beilock, ). The current study tested the novel hypothesis that non-numerical ordering ability, as measured by the ordering of familiar sequences of events, also plays an important role in maths development. Ninety children were tested in their first school year and 87 were followed up at the end of their second school year, to test the hypothesis that ordinal processing, including the ordering of non-numerical materials, would be related to their maths skills both cross-sectionally and longitudinally. The results confirmed this hypothesis. Ordinal processing measures were significantly related to maths both cross-sectionally and longitudinally, and children's non-numerical ordering ability in their first year of school (as measured by order judgements for everyday events and the parents' report of their child's everyday ordering ability) was the strongest longitudinal predictor of maths one year later, when compared to several measures that are traditionally considered to be important predictors of early maths development. Children's everyday ordering ability, as reported by parents, also significantly predicted growth in formal maths ability between Year 1 and Year 2, although this was not the case for the event ordering task. The present study provides strong evidence that domain-general ordering abilities play an important role in the development of children's maths skills at the beginning of formal education. © 2018 John Wiley & Sons Ltd.

Developing Elementary Math and Science Process Skills Through Engineering Design Instruction

Science.gov (United States)

Strong, Matthew G.

This paper examines how elementary students can develop math and science process skills through an engineering design approach to instruction. The performance and development of individual process skills overall and by gender were also examined. The study, preceded by a pilot, took place in a grade four extracurricular engineering design program in a public, suburban school district. Students worked in pairs and small groups to design and construct airplane models from styrofoam, paper clips, and toothpicks. The development and performance of process skills were assessed through a student survey of learning gains, an engineering design packet rubric (student work), observation field notes, and focus group notes. The results indicate that students can significantly develop process skills, that female students may develop process skills through engineering design better than male students, and that engineering design is most helpful for developing the measuring, suggesting improvements, and observing process skills. The study suggests that a more regular engineering design program or curriculum could be beneficial for students' math and science abilities both in this school and for the elementary field as a whole.

How to Make the Most of Math Manipulatives.

Science.gov (United States)

Burns, Marilyn

1996-01-01

A discussion of how to use math manipulatives to teach elementary students focuses on essential program elements: what math manipulatives are and why they are used, common questions about math manipulatives, how one teacher introduced the geoboard into the classroom, and pattern block activities. (SM)

Parent-child math anxiety and math-gender stereotypes predict adolescents' math education outcomes

OpenAIRE

Casad, Bettina J.; Hale, Patricia; Wachs, Faye L.

2015-01-01

Two studies examined social determinants of adolescents’ math anxiety including parents’ own math anxiety and children’s endorsement of math-gender stereotypes. In study 1, parent-child dyads were surveyed and the interaction between parent and child math anxiety was examined, with an eye to same- and other-gender dyads. Results indicate that parent’s math anxiety interacts with daughters’ and sons’ anxiety to predict math self-efficacy, GPA, behavioral intentions, math attitudes, and math de...

Talking Math, Blogging Math

OpenAIRE

Mathews, Linda Marie

2009-01-01

Talking Math, Blogging Math is a curriculum designed to aid middle school Pre- Algebra students' mathematical problem-solving through the use of academic language instruction, explanatory proofs, and online technology (blogging). Talking Math, Blogging Math was implemented over a period of ten weeks during the 2008 - 2009 school year. The school where the curriculum was implemented is a non-traditional classroom-based charter school. The 7th, 8th and 9th grade students attended class twice a ...

Math Academy: Are You Game? Explorations in Probability. Supplemental Math Materials for Grades 3-6

Science.gov (United States)

Rimbey, Kimberly

2007-01-01

Created by teachers for teachers, the Math Academy tools and activities included in this booklet were designed to create hands-on activities and a fun learning environment for the teaching of mathematics to the students. This booklet contains the themed program "Are You Game? Math Academy--Explorations in Probability," which teachers can use to…

Basic Maths Practice Problems For Dummies

CERN Document Server

Beveridge, Colin

2012-01-01

Fun, friendly coaching and all the practice you need to tackle maths problems with confidence and ease In his popular Basic Maths For Dummies, professional maths tutor Colin Beveridge proved that he could turn anyone - even the most maths-phobic person - into a natural-born number cruncher. In this book he supplies more of his unique brand of maths-made- easy coaching, plus 2,000 practice problems to help you master what you learn. Whether you're prepping for a numeracy test or an employability exam, thinking of returning to school, or you'd just like to be one of those know-it-alls who says

The influence of math anxiety on symbolic and non-symbolic magnitude processing.

Science.gov (United States)

Dietrich, Julia F; Huber, Stefan; Moeller, Korbinian; Klein, Elise

2015-01-01

Deficits in basic numerical abilities have been investigated repeatedly as potential risk factors of math anxiety. Previous research suggested that also a deficient approximate number system (ANS), which is discussed as being the foundation for later math abilities, underlies math anxiety. However, these studies examined this hypothesis by investigating ANS acuity using a symbolic number comparison task. Recent evidence questions the view that ANS acuity can be assessed using a symbolic number comparison task. To investigate whether there is an association between math anxiety and ANS acuity, we employed both a symbolic number comparison task and a non-symbolic dot comparison task, which is currently the standard task to assess ANS acuity. We replicated previous findings regarding the association between math anxiety and the symbolic distance effect for response times. High math anxious individuals showed a larger distance effect than less math anxious individuals. However, our results revealed no association between math anxiety and ANS acuity assessed using a non-symbolic dot comparison task. Thus, our results did not provide evidence for the hypothesis that a deficient ANS underlies math anxiety. Therefore, we propose that a deficient ANS does not constitute a risk factor for the development of math anxiety. Moreover, our results suggest that previous interpretations regarding the interaction of math anxiety and the symbolic distance effect have to be updated. We suggest that impaired number comparison processes in high math anxious individuals might account for the results rather than deficient ANS representations. Finally, impaired number comparison processes might constitute a risk factor for the development of math anxiety. Implications for current models regarding the origins of math anxiety are discussed.

The influence of math anxiety on symbolic and non-symbolic magnitude processing

Directory of Open Access Journals (Sweden)

Julia Felicitas Dietrich

2015-10-01

Full Text Available Deficits in basic numerical abilities have been investigated repeatedly as potential risk factors of math anxiety. Previous research suggested that also a deficient approximate number system (ANS, which is discussed as being the foundation for later math abilities, underlies math anxiety. However, these studies examined this hypothesis by investigating ANS acuity using a symbolic number comparison task. Recent evidence questions the view that ANS acuity can be assessed using a symbolic number comparison task. To investigate whether there is an association between math anxiety and ANS acuity, we employed both a symbolic number comparison task and a non-symbolic dot comparison task, which is currently the standard task to assess ANS acuity. We replicated previous findings regarding the association between math anxiety and the symbolic distance effect for response times. High math anxious individuals showed a larger distance effect than less math anxious individuals. However, our results revealed no association between math anxiety and ANS acuity assessed using a non-symbolic dot comparison task. Thus, our results did not provide evidence for the hypothesis that a deficient ANS underlies math anxiety. Therefore, we propose that a deficient ANS does not constitute a risk factor for the development of math anxiety. Moreover, our results suggest that previous interpretations regarding the interaction of math anxiety and the symbolic distance effect have to be updated. We suggest that impaired number comparison processes in high math anxious individuals might account for the results rather than deficient ANS representations. Finally, impaired number comparison processes might constitute a risk factor for the development of math anxiety. Implications for current models regarding the origins of math anxiety are discussed.

Understanding the Home Math Environment and Its Role in Predicting Parent Report of Children's Math Skills.

Science.gov (United States)

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

2016-01-01

There is a growing literature concerning the role of the home math environment in children's math development. In this study, we examined the relation between these constructs by specifically addressing three goals. The first goal was to identify the measurement structure of the home math environment through a series of confirmatory factor analyses. The second goal was to examine the role of the home math environment in predicting parent report of children's math skills. The third goal was to test a series of potential alternative explanations for the relation between the home math environment and parent report of children's skills, specifically the direct and indirect role of household income, parent math anxiety, and parent math ability as measured by their approximate number system performance. A final sample of 339 parents of children aged 3 through 8 drawn from Mechanical Turk answered a questionnaire online. The best fitting model of the home math environment was a bifactor model with a general factor representing the general home math environment, and three specific factors representing the direct numeracy environment, the indirect numeracy environment, and the spatial environment. When examining the association of the home math environment factors to parent report of child skills, the general home math environment factor and the spatial environment were the only significant predictors. Parents who reported doing more general math activities in the home reported having children with higher math skills, whereas parents who reported doing more spatial activities reported having children with lower math skills.

Understanding the Home Math Environment and Its Role in Predicting Parent Report of Children's Math Skills.

Directory of Open Access Journals (Sweden)

Sara A Hart

Full Text Available There is a growing literature concerning the role of the home math environment in children's math development. In this study, we examined the relation between these constructs by specifically addressing three goals. The first goal was to identify the measurement structure of the home math environment through a series of confirmatory factor analyses. The second goal was to examine the role of the home math environment in predicting parent report of children's math skills. The third goal was to test a series of potential alternative explanations for the relation between the home math environment and parent report of children's skills, specifically the direct and indirect role of household income, parent math anxiety, and parent math ability as measured by their approximate number system performance. A final sample of 339 parents of children aged 3 through 8 drawn from Mechanical Turk answered a questionnaire online. The best fitting model of the home math environment was a bifactor model with a general factor representing the general home math environment, and three specific factors representing the direct numeracy environment, the indirect numeracy environment, and the spatial environment. When examining the association of the home math environment factors to parent report of child skills, the general home math environment factor and the spatial environment were the only significant predictors. Parents who reported doing more general math activities in the home reported having children with higher math skills, whereas parents who reported doing more spatial activities reported having children with lower math skills.

Female teachers' math anxiety affects girls' math achievement.

Science.gov (United States)

Beilock, Sian L; Gunderson, Elizabeth A; Ramirez, Gerardo; Levine, Susan C

2010-02-02

People's fear and anxiety about doing math--over and above actual math ability--can be an impediment to their math achievement. We show that when the math-anxious individuals are female elementary school teachers, their math anxiety carries negative consequences for the math achievement of their female students. Early elementary school teachers in the United States are almost exclusively female (>90%), and we provide evidence that these female teachers' anxieties relate to girls' math achievement via girls' beliefs about who is good at math. First- and second-grade female teachers completed measures of math anxiety. The math achievement of the students in these teachers' classrooms was also assessed. There was no relation between a teacher's math anxiety and her students' math achievement at the beginning of the school year. By the school year's end, however, the more anxious teachers were about math, the more likely girls (but not boys) were to endorse the commonly held stereotype that "boys are good at math, and girls are good at reading" and the lower these girls' math achievement. Indeed, by the end of the school year, girls who endorsed this stereotype had significantly worse math achievement than girls who did not and than boys overall. In early elementary school, where the teachers are almost all female, teachers' math anxiety carries consequences for girls' math achievement by influencing girls' beliefs about who is good at math.

Math Education at a Crossroads

DEFF Research Database (Denmark)

Markvorsen, Steen

With an enrollment of 550 students once a year the first year course Math1 at the Technical University of Denmark is one of the largest courses at university level in Denmark. Since its re-formation 6 years ago a number of interesting valuable assets concerning undergraduate math education...

From Mxit to Dr Math

CSIR Research Space (South Africa)

Botha, Adèle

2013-02-01

Full Text Available In 2007, Laurie Butgereit, a researcher at the CSIR Meraka Institute, started to use Mxit as a communication channel to tutor her son in mathematics. Her son and a number of his friends logged in, and Dr Math was born. At the inception of Dr Math...

Really big numbers

CERN Document Server

Schwartz, Richard Evan

2014-01-01

In the American Mathematical Society's first-ever book for kids (and kids at heart), mathematician and author Richard Evan Schwartz leads math lovers of all ages on an innovative and strikingly illustrated journey through the infinite number system. By means of engaging, imaginative visuals and endearing narration, Schwartz manages the monumental task of presenting the complex concept of Big Numbers in fresh and relatable ways. The book begins with small, easily observable numbers before building up to truly gigantic ones, like a nonillion, a tredecillion, a googol, and even ones too huge for names! Any person, regardless of age, can benefit from reading this book. Readers will find themselves returning to its pages for a very long time, perpetually learning from and growing with the narrative as their knowledge deepens. Really Big Numbers is a wonderful enrichment for any math education program and is enthusiastically recommended to every teacher, parent and grandparent, student, child, or other individual i...

Simple arithmetic: not so simple for highly math anxious individuals.

Science.gov (United States)

Chang, Hyesang; Sprute, Lisa; Maloney, Erin A; Beilock, Sian L; Berman, Marc G

2017-12-01

Fluency with simple arithmetic, typically achieved in early elementary school, is thought to be one of the building blocks of mathematical competence. Behavioral studies with adults indicate that math anxiety (feelings of tension or apprehension about math) is associated with poor performance on cognitively demanding math problems. However, it remains unclear whether there are fundamental differences in how high and low math anxious individuals approach overlearned simple arithmetic problems that are less reliant on cognitive control. The current study used functional magnetic resonance imaging to examine the neural correlates of simple arithmetic performance across high and low math anxious individuals. We implemented a partial least squares analysis, a data-driven, multivariate analysis method to measure distributed patterns of whole-brain activity associated with performance. Despite overall high simple arithmetic performance across high and low math anxious individuals, performance was differentially dependent on the fronto-parietal attentional network as a function of math anxiety. Specifically, low-compared to high-math anxious individuals perform better when they activate this network less-a potential indication of more automatic problem-solving. These findings suggest that low and high math anxious individuals approach even the most fundamental math problems differently. © The Author (2017). Published by Oxford University Press.

Instant Math Storymats with Hands-on Activities for Building Essential Primary Math Skills, Grades K-2.

Science.gov (United States)

Spann, Mary Beth

This book contains 18 reproducible Math Storymats which can be a refreshing addition to any early elementary math program. Each storymat is accompanied by two separate read-aloud story selections that guide children in using plastic disk-shaped markers to interact with the mats in specific and open-ended ways. Together the mats and the…

When Math Hurts: Math Anxiety Predicts Pain Network Activation in Anticipation of Doing Math

Science.gov (United States)

Lyons, Ian M.; Beilock, Sian L.

2012-01-01

Math can be difficult, and for those with high levels of mathematics-anxiety (HMAs), math is associated with tension, apprehension, and fear. But what underlies the feelings of dread effected by math anxiety? Are HMAs’ feelings about math merely psychological epiphenomena, or is their anxiety grounded in simulation of a concrete, visceral sensation – such as pain – about which they have every right to feel anxious? We show that, when anticipating an upcoming math-task, the higher one’s math anxiety, the more one increases activity in regions associated with visceral threat detection, and often the experience of pain itself (bilateral dorso-posterior insula). Interestingly, this relation was not seen during math performance, suggesting that it is not that math itself hurts; rather, the anticipation of math is painful. Our data suggest that pain network activation underlies the intuition that simply anticipating a dreaded event can feel painful. These results may also provide a potential neural mechanism to explain why HMAs tend to avoid math and math-related situations, which in turn can bias HMAs away from taking math classes or even entire math-related career paths. PMID:23118929

When math hurts: math anxiety predicts pain network activation in anticipation of doing math.

Directory of Open Access Journals (Sweden)

Ian M Lyons

Full Text Available Math can be difficult, and for those with high levels of mathematics-anxiety (HMAs, math is associated with tension, apprehension, and fear. But what underlies the feelings of dread effected by math anxiety? Are HMAs' feelings about math merely psychological epiphenomena, or is their anxiety grounded in simulation of a concrete, visceral sensation - such as pain - about which they have every right to feel anxious? We show that, when anticipating an upcoming math-task, the higher one's math anxiety, the more one increases activity in regions associated with visceral threat detection, and often the experience of pain itself (bilateral dorso-posterior insula. Interestingly, this relation was not seen during math performance, suggesting that it is not that math itself hurts; rather, the anticipation of math is painful. Our data suggest that pain network activation underlies the intuition that simply anticipating a dreaded event can feel painful. These results may also provide a potential neural mechanism to explain why HMAs tend to avoid math and math-related situations, which in turn can bias HMAs away from taking math classes or even entire math-related career paths.

When math hurts: math anxiety predicts pain network activation in anticipation of doing math.

Science.gov (United States)

Lyons, Ian M; Beilock, Sian L

2012-01-01

Math can be difficult, and for those with high levels of mathematics-anxiety (HMAs), math is associated with tension, apprehension, and fear. But what underlies the feelings of dread effected by math anxiety? Are HMAs' feelings about math merely psychological epiphenomena, or is their anxiety grounded in simulation of a concrete, visceral sensation - such as pain - about which they have every right to feel anxious? We show that, when anticipating an upcoming math-task, the higher one's math anxiety, the more one increases activity in regions associated with visceral threat detection, and often the experience of pain itself (bilateral dorso-posterior insula). Interestingly, this relation was not seen during math performance, suggesting that it is not that math itself hurts; rather, the anticipation of math is painful. Our data suggest that pain network activation underlies the intuition that simply anticipating a dreaded event can feel painful. These results may also provide a potential neural mechanism to explain why HMAs tend to avoid math and math-related situations, which in turn can bias HMAs away from taking math classes or even entire math-related career paths.

Understanding the Home Math Environment and Its Role in Predicting Parent Report of Children’s Math Skills

Science.gov (United States)

Ganley, Colleen M.; Purpura, David J.

2016-01-01

There is a growing literature concerning the role of the home math environment in children’s math development. In this study, we examined the relation between these constructs by specifically addressing three goals. The first goal was to identify the measurement structure of the home math environment through a series of confirmatory factor analyses. The second goal was to examine the role of the home math environment in predicting parent report of children’s math skills. The third goal was to test a series of potential alternative explanations for the relation between the home math environment and parent report of children’s skills, specifically the direct and indirect role of household income, parent math anxiety, and parent math ability as measured by their approximate number system performance. A final sample of 339 parents of children aged 3 through 8 drawn from Mechanical Turk answered a questionnaire online. The best fitting model of the home math environment was a bifactor model with a general factor representing the general home math environment, and three specific factors representing the direct numeracy environment, the indirect numeracy environment, and the spatial environment. When examining the association of the home math environment factors to parent report of child skills, the general home math environment factor and the spatial environment were the only significant predictors. Parents who reported doing more general math activities in the home reported having children with higher math skills, whereas parents who reported doing more spatial activities reported having children with lower math skills. PMID:28005925

Five Keys for Teaching Mental Math

Science.gov (United States)

Olsen, James R.

2015-01-01

After studying the Common Core State Standards for Mathematics (CCSSM) and brain-based learning research, James Olsen believes mental math instruction in secondary school mathematics (grades 7-12) and in teacher education programs needs increased attention. The purpose of this article is to share some keys for teaching mental math. Olsen also…

Math Fact Strategies Research Project

Science.gov (United States)

Boso, Annie

2011-01-01

An action research project was conducted in order to determine effective math fact strategies for first graders. The traditional way of teaching math facts included using timed tests and flashcards, with most students counting on their fingers or a number line. Six new research-based strategies were taught and analyzed to decide which methods…

Teachers’ ability in using math learning media

Science.gov (United States)

Masniladevi; Prahmana, R. C. I.; Helsa, Y.; Dalais, M.

2017-12-01

The studies aim to enhance teachers’ knowledge and skill in making math instructional media, develop math instructional media, train and assist the use of instructional media in learning math in the classroom. The method used in the activities adopted the pattern of preventive implementation, planning stage, program implementation, observation and evaluation and reflection. The research results show that the evaluation of teachers’ ability is still in average category. The result required more intensive training.

Wuzzit Trouble: The Influence of a Digital Math Game on Student Number Sense

Directory of Open Access Journals (Sweden)

Holly Pope

2015-12-01

Full Text Available This study sought to determine if playing a digital math game could increase student number sense (mathematical proficiency in numeracy. We used a pre- and post-assessment to measure the number sense of two groups of third grade students with the same mathematics teacher. One group played the game Wuzzit Trouble and the other did not. Overall, the group who played Wuzzit Trouble showed a significant increase in number sense between the pre- and post-assessment, compared to the other group who did not. A qualitative analysis of a novel problem revealed differences between the treatment and comparison groups from pre- to post-. A discussion of these findings and features of the game are addressed. Namely, two features inherent in Wuzzit Trouble are associated with the learners’ increased number sense. First, Wuzzit Trouble promoted mathematical proficiency by requiring learners to attend to several mathematical constraints at once. Second, the game engaged learners in an iterative process of decision-making by calling for students to try, check, and revise their strategy as they played.

Lean and Efficient Software: Whole-Program Optimization of Executables

Science.gov (United States)

2015-09-30

Lean and Efficient Software: Whole-Program Optimization of Executables” Project Summary Report #5 (Report Period: 7/1/2015 to 9/30/2015...TYPE 3. DATES COVERED 00-00-2015 to 00-00-2015 4. TITLE AND SUBTITLE Lean and Efficient Software: Whole-Program Optimization of Executables 5a...unclassified c. THIS PAGE unclassified Standard Form 298 (Rev. 8-98) Prescribed by ANSI Std Z39-18 Lean and Efficient Software: Whole-Program

The role of self-math overlap in understanding math anxiety and the relation between math anxiety and performance.

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Necka, Elizabeth A; Sokolowski, H Moriah; Lyons, Ian M

2015-01-01

Recent work has demonstrated that math anxiety is more than just the product of poor math skills. Psychosocial factors may play a key role in understanding what it means to be math anxious, and hence may aid in attempts to sever the link between math anxiety and poor math performance. One such factor may be the extent to which individuals integrate math into their sense of self. We adapted a well-established measure of this degree of integration (i.e., self-other overlap) to assess individuals' self-math overlap. This non-verbal single-item measure showed that identifying oneself with math (having higher self-math overlap) was strongly associated with lower math anxiety (r = -0.610). We also expected that having higher self-math overlap would leave one especially susceptible to the threat of poor math performance to the self. We identified two competing hypotheses regarding how this plays out in terms of math anxiety. Those higher in self-math overlap might be more likely to worry about poor math performance, exacerbating the negative relation between math anxiety and math ability. Alternatively, those higher in self-math overlap might exhibit self-serving biases regarding their math ability, which would instead predict a decoupling of the relation between their perceived and actual math ability, and in turn the relation between their math ability and math anxiety. Results clearly favored the latter hypothesis: those higher in self-math overlap exhibited almost no relation between math anxiety and math ability, whereas those lower in self-math overlap showed a strong negative relation between math anxiety and math ability. This was partially explained by greater self-serving biases among those higher in self-math overlap. In sum, these results reveal that the degree to which one integrates math into one's self - self-math overlap - may provide insight into how the pernicious negative relation between math anxiety and math ability may be ameliorated.

The role of self-math overlap in understanding math anxiety and the relation between math anxiety and performance

Science.gov (United States)

Necka, Elizabeth A.; Sokolowski, H. Moriah; Lyons, Ian M.

2015-01-01

Recent work has demonstrated that math anxiety is more than just the product of poor math skills. Psychosocial factors may play a key role in understanding what it means to be math anxious, and hence may aid in attempts to sever the link between math anxiety and poor math performance. One such factor may be the extent to which individuals integrate math into their sense of self. We adapted a well-established measure of this degree of integration (i.e., self-other overlap) to assess individuals’ self-math overlap. This non-verbal single-item measure showed that identifying oneself with math (having higher self-math overlap) was strongly associated with lower math anxiety (r = -0.610). We also expected that having higher self-math overlap would leave one especially susceptible to the threat of poor math performance to the self. We identified two competing hypotheses regarding how this plays out in terms of math anxiety. Those higher in self-math overlap might be more likely to worry about poor math performance, exacerbating the negative relation between math anxiety and math ability. Alternatively, those higher in self-math overlap might exhibit self-serving biases regarding their math ability, which would instead predict a decoupling of the relation between their perceived and actual math ability, and in turn the relation between their math ability and math anxiety. Results clearly favored the latter hypothesis: those higher in self-math overlap exhibited almost no relation between math anxiety and math ability, whereas those lower in self-math overlap showed a strong negative relation between math anxiety and math ability. This was partially explained by greater self-serving biases among those higher in self-math overlap. In sum, these results reveal that the degree to which one integrates math into one’s self – self-math overlap – may provide insight into how the pernicious negative relation between math anxiety and math ability may be ameliorated. PMID

The role of self-math overlap in understanding math anxiety and the relation between math anxiety and performance

Directory of Open Access Journals (Sweden)

Elizabeth A Necka

2015-10-01

Full Text Available Recent work has demonstrated that math anxiety is more than just the product of poor math skills. Psychosocial factors may play a key role in understanding what it means to be math anxious, and hence may aid in attempts to sever the link between math anxiety and poor math performance. One such factor may be the extent to which individuals integrate math into their sense of self. We adapted a well-established measure of this degree of integration (i.e., self-other overlap to assess individuals’ self-math overlap. This nonverbal single-item measure showed that identifying oneself with math (having higher self-math overlap was strongly associated with lower math anxiety (r=-.610. We also expected that having higher self-math overlap would leave one especially susceptible to the threat of poor math performance to the self. We identified two competing hypotheses regarding how this plays out in terms of math anxiety. Those higher in self-math overlap might be more likely to worry about poor math performance, exacerbating the negative relation between math anxiety and math ability. Alternatively, those higher in self-math overlap might exhibit self-serving biases regarding their math ability, which would instead predict a decoupling of the relation between their perceived and actual math ability, and in turn the relation between their math ability and math anxiety. Results clearly favored the latter hypothesis: those higher in self-math overlap exhibited almost no relation between math anxiety and math ability, whereas those lower in self-math overlap showed a strong negative relation between math anxiety and math ability. This was partially explained by greater self-serving biases among those higher in self-math overlap. In sum, these results reveal that the degree to which one integrates math into one’s self – self-math overlap – may provide insight into how the pernicious negative relation between math anxiety and math ability may be

Football to Improve Math and Reading Performance

Science.gov (United States)

Van Klaveren, Chris; De Witte, Kristof

2015-01-01

Schools frequently increase the instructional time to improve primary school children's math and reading skills. There is, however, little evidence that math and reading skills are effectively improved by these instruction-time increases. This study evaluates "Playing for Success" (PfS), an extended school day program for underachieving…

Training in Influencing Skills from Neuro-Linguistic Programming (Modelled from Hypnosis and Family Therapy), in Combination with Innovative Maths Pedagogy, Raises Maths Attainment in Adult Numeracy Learners

Science.gov (United States)

Allan, F.; Bourne, J.; Bouch, D.; Churches, R.; Dennison, J.; Evans, J.; Fowler, J.; Jeffers, A.; Prior, E.; Rhodes, L.

2012-01-01

Case study research suggests that NLP [neuro-linguistic programming] influencing strategies benefit teacher effectiveness. Maths pedagogy involving higher-order questioning, challenge, problem solving and collaborative working may be a way of improving attainment in adult numeracy learning, however, such strategies may be less effective if the…

The Cognitive Predictors of Computational Skill with Whole versus Rational Numbers: An Exploratory Study.

Science.gov (United States)

Seethaler, Pamela M; Fuchs, Lynn S; Star, Jon R; Bryant, Joan

2011-10-01

The purpose of the present study was to explore the 3(rd)-grade cognitive predictors of 5th-grade computational skill with rational numbers and how those are similar to and different from the cognitive predictors of whole-number computational skill. Students (n = 688) were assessed on incoming whole-number calculation skill, language, nonverbal reasoning, concept formation, processing speed, and working memory in the fall of 3(rd) grade. Students were followed longitudinally and assessed on calculation skill with whole numbers and with rational numbers in the spring of 5(th) grade. The unique predictors of skill with whole-number computation were incoming whole-number calculation skill, nonverbal reasoning, concept formation, and working memory (numerical executive control). In addition to these cognitive abilities, language emerged as a unique predictor of rational-number computational skill.

Impact of Math Snacks Games on Students' Conceptual Understanding

Science.gov (United States)

Winburg, Karin; Chamberlain, Barbara; Valdez, Alfred; Trujillo, Karen; Stanford, Theodore B.

2016-01-01

This "Math Snacks" intervention measured 741 fifth grade students' gains in conceptual understanding of core math concepts after game-based learning activities. Teachers integrated four "Math Snacks" games and related activities into instruction on ratios, coordinate plane, number systems, fractions and decimals. Using a…

Mini-Portfolio on Math and Science.

Science.gov (United States)

Teaching PreK-8, 1996

1996-01-01

Presents six articles dealing with math and science education: "Sneaker Geometry" (Jack George), "Fairs with a Flair" (Diane McCarty), "Generating Excitement with Math Projects" (Jeffrey Kostecky and Louis Roe), "Playing with Numbers" (Diana Smith), "When Student Teachers Want to Do Hands-On Science" (Betsy Feldkamp-Price), and "Science ala Carte"…

Inhibition Performance in Children with Math Disabilities

OpenAIRE

Winegar, Kathryn Lileth

2013-01-01

This study examined the inhibition deficit hypothesis in children with math disabilities (MD). Children with and without MD were compared on two inhibition tasks that included the random generation of numbers and letters. The results addressed three hypotheses. Weak support was found for the first hypothesis which stated difficulties related to inhibition are significantly related to math performance. I found partial support for this hypothesis in that inhibition was related to math problem s...

Tangible Math

Science.gov (United States)

Scarlatos, Lori L.

2006-01-01

Educators recognize that group work and physical involvement with learning materials can greatly enhance the understanding and retention of difficult concepts. As a result, math manipulatives--such as pattern blocks and number lines--have increasingly been making their way into classrooms and children's museums. Yet without the constant guidance…

Phylogeny of the TRAF/MATH domain.

Science.gov (United States)

Zapata, Juan M; Martínez-García, Vanesa; Lefebvre, Sophie

2007-01-01

The TNF-receptor associated factor (TRAF) domain (TD), also known as the meprin and TRAF-C homology (MATH) domain is a fold of seven anti-parallel p-helices that participates in protein-protein interactions. This fold is broadly represented among eukaryotes, where it is found associated with a discrete set of protein-domains. Virtually all protein families encompassing a TRAF/MATH domain seem to be involved in the regulation of protein processing and ubiquitination, strongly suggesting a parallel evolution of the TRAF/MATH domain and certain proteolysis pathways in eukaryotes. The restricted number of living organisms for which we have information of their genetic and protein make-up limits the scope and analysis of the MATH domain in evolution. However, the available information allows us to get a glimpse on the origins, distribution and evolution of the TRAF/MATH domain, which will be overviewed in this chapter.

Math and Economics: Implementing Authentic Instruction in Grades K-5

Science.gov (United States)

Althauser, Krista; Harter, Cynthia

2016-01-01

The purpose of this study is to outline a partnership program that involved a local elementary school district, an institution of higher education, the local business community, and a state economic education advocacy group to integrate economics into math in grades K-5. The "Economics: Math in Real Life" program was provided in…

MathModelica - An Extensible Modeling and Simulation Environment with Integrated Graphics and Literate Programming

OpenAIRE

Fritzson, Peter; Gunnarsson, Johan; Jirstrand, Mats

2002-01-01

MathModelica is an integrated interactive development environment for advanced system modeling and simulation. The environment integrates Modelica-based modeling and simulation with graphic design, advanced scripting facilities, integration of program code, test cases, graphics, documentation, mathematical type setting, and symbolic formula manipulation provided via Mathematica. The user interface consists of a graphical Model Editor and Notebooks. The Model Editor is a graphical user interfa...

Neural correlates of math anxiety - an overview and implications.

Science.gov (United States)

Artemenko, Christina; Daroczy, Gabriella; Nuerk, Hans-Christoph

2015-01-01

Math anxiety is a common phenomenon which can have a negative impact on numerical and arithmetic performance. However, so far little is known about the underlying neurocognitive mechanisms. This mini review provides an overview of studies investigating the neural correlates of math anxiety which provide several hints regarding its influence on math performance: while behavioral studies mostly observe an influence of math anxiety on difficult math tasks, neurophysiological studies show that processing efficiency is already affected in basic number processing. Overall, the neurocognitive literature suggests that (i) math anxiety elicits emotion- and pain-related activation during and before math activities, (ii) that the negative emotional response to math anxiety impairs processing efficiency, and (iii) that math deficits triggered by math anxiety may be compensated for by modulating the cognitive control or emotional regulation network. However, activation differs strongly between studies, depending on tasks, paradigms, and samples. We conclude that neural correlates can help to understand and explore the processes underlying math anxiety, but the data are not very consistent yet.

Intergenerational Effects of Parents' Math Anxiety on Children's Math Achievement and Anxiety.

Science.gov (United States)

Maloney, Erin A; Ramirez, Gerardo; Gunderson, Elizabeth A; Levine, Susan C; Beilock, Sian L

2015-09-01

A large field study of children in first and second grade explored how parents' anxiety about math relates to their children's math achievement. The goal of the study was to better understand why some students perform worse in math than others. We tested whether parents' math anxiety predicts their children's math achievement across the school year. We found that when parents are more math anxious, their children learn significantly less math over the school year and have more math anxiety by the school year's end-but only if math-anxious parents report providing frequent help with math homework. Notably, when parents reported helping with math homework less often, children's math achievement and attitudes were not related to parents' math anxiety. Parents' math anxiety did not predict children's reading achievement, which suggests that the effects of parents' math anxiety are specific to children's math achievement. These findings provide evidence of a mechanism for intergenerational transmission of low math achievement and high math anxiety. © The Author(s) 2015.

Effects of Center-Based Early Childhood Education Programs on Children’s Language, Literacy, and Math Skills: A Comprehensive Meta-Analysis

OpenAIRE

Kholoptseva, Evgenia

2016-01-01

This study examines effects of early childhood education (ECE) programs on children’s language, literacy, and math skills using a meta-analytic database that includes information about evaluations conducted between 1960 and 2007 for children between birth and 5 years of age. The study extends upon prior syntheses by examining treatment effects separately on language, literacy, and math outcomes. Findings indicate that ECE attendance has small-to-moderate impacts of between 1/10th to 1/3rd of...

Impaired math achievement in patients with acute vestibular neuritis.

Science.gov (United States)

Moser, Ivan; Vibert, Dominique; Caversaccio, Marco D; Mast, Fred W

2017-12-01

Broad cognitive difficulties have been reported in patients with peripheral vestibular deficit, especially in the domain of spatial cognition. Processing and manipulating numbers relies on the ability to use the inherent spatial features of numbers. It is thus conceivable that patients with acute peripheral vestibular deficit show impaired numerical cognition. Using the number Stroop task and a short math achievement test, we tested 20 patients with acute vestibular neuritis and 20 healthy, age-matched controls. On the one hand, patients showed normal congruency and distance effects in the number Stroop task, which is indicative of normal number magnitude processing. On the other hand, patients scored lower than healthy controls in the math achievement test. We provide evidence that the lower performance cannot be explained by either differences in prior math knowledge (i.e., education) or slower processing speed. Our results suggest that peripheral vestibular deficit negatively affects numerical cognition in terms of the efficient manipulation of numbers. We discuss the role of executive functions in math performance and argue that previously reported executive deficits in patients with peripheral vestibular deficit provide a plausible explanation for the lower math achievement scores. In light of the handicapping effects of impaired numerical cognition in daily living, it is crucial to further investigate the mechanisms that cause mathematical deficits in acute PVD and eventually develop adequate means for cognitive interventions. Copyright © 2017 Elsevier Ltd. All rights reserved.

Math anxiety differentially affects WAIS-IV arithmetic performance in undergraduates.

Science.gov (United States)

Buelow, Melissa T; Frakey, Laura L

2013-06-01

Previous research has shown that math anxiety can influence the math performance level; however, to date, it is unknown whether math anxiety influences performance on working memory tasks during neuropsychological evaluation. In the present study, 172 undergraduate students completed measures of math achievement (the Math Computation subtest from the Wide Range Achievement Test-IV), math anxiety (the Math Anxiety Rating Scale-Revised), general test anxiety (from the Adult Manifest Anxiety Scale-College version), and the three Working Memory Index tasks from the Wechsler Adult Intelligence Scale-IV Edition (WAIS-IV; Digit Span [DS], Arithmetic, Letter-Number Sequencing [LNS]). Results indicated that math anxiety predicted performance on Arithmetic, but not DS or LNS, above and beyond the effects of gender, general test anxiety, and math performance level. Our findings suggest that math anxiety can negatively influence WAIS-IV working memory subtest scores. Implications for clinical practice include the utilization of LNS in individuals expressing high math anxiety.

A meta-analysis of math performance in Turner syndrome.

Science.gov (United States)

Baker, Joseph M; Reiss, Allan L

2016-02-01

Studies investigating the relationship between Turner syndrome and math learning disability have used a wide variation of tasks designed to test various aspects of mathematical competencies. Although these studies have revealed much about the math deficits common to Turner syndrome, their diversity makes comparisons between individual studies difficult. As a result, the consistency of outcomes among these diverse measures remains unknown. The overarching aim of this review is to provide a systematic meta-analysis of the differences in math and number performance between females with Turner syndrome and age-matched neurotypical peers. We provide a meta-analysis of behavioral performance in Turner syndrome relative to age-matched neurotypical populations on assessments of math and number aptitude. In total, 112 comparisons collected across 17 studies were included. Although 54% of all statistical comparisons in our analyses failed to reject the null hypothesis, our results indicate that meaningful group differences exist on all comparisons except those that do not require explicit calculation. Taken together, these results help elucidate our current understanding of math and number weaknesses in Turner syndrome, while highlighting specific topics that require further investigation. © 2015 Mac Keith Press.

Teaching Multiplication of Large Positive Whole Numbers Using ...

African Journals Online (AJOL)

This study investigated the teaching of multiplication of large positive whole numbers using the grating method and the effect of this method on students' performance in junior secondary schools. The study was conducted in Obio Akpor Local Government Area of Rivers state. It was quasi- experimental. Two research ...

The contributions of numerical acuity and non-numerical stimulus features to the development of the number sense and symbolic math achievement.

Science.gov (United States)

Starr, Ariel; DeWind, Nicholas K; Brannon, Elizabeth M

2017-11-01

Numerical acuity, frequently measured by a Weber fraction derived from nonsymbolic numerical comparison judgments, has been shown to be predictive of mathematical ability. However, recent findings suggest that stimulus controls in these tasks are often insufficiently implemented, and the proposal has been made that alternative visual features or inhibitory control capacities may actually explain this relation. Here, we use a novel mathematical algorithm to parse the relative influence of numerosity from other visual features in nonsymbolic numerical discrimination and to examine the strength of the relations between each of these variables, including inhibitory control, and mathematical ability. We examined these questions developmentally by testing 4-year-old children, 6-year-old children, and adults with a nonsymbolic numerical comparison task, a symbolic math assessment, and a test of inhibitory control. We found that the influence of non-numerical features decreased significantly over development but that numerosity was a primary determinate of decision making at all ages. In addition, numerical acuity was a stronger predictor of math achievement than either non-numerical bias or inhibitory control in children. These results suggest that the ability to selectively attend to number contributes to the maturation of the number sense and that numerical acuity, independent of inhibitory control, contributes to math achievement in early childhood. Copyright © 2017 Elsevier B.V. All rights reserved.

Creating a Context for Learning: Activating Children’s Whole Number Knowledge Prepares Them to Understand Fraction Division

Directory of Open Access Journals (Sweden)

Pooja Gupta Sidney

2017-07-01

Full Text Available When children learn about fractions, their prior knowledge of whole numbers often interferes, resulting in a whole number bias. However, many fraction concepts are generalizations of analogous whole number concepts; for example, fraction division and whole number division share a similar conceptual structure. Drawing on past studies of analogical transfer, we hypothesize that children’s whole number division knowledge will support their understanding of fraction division when their relevant prior knowledge is activated immediately before engaging with fraction division. Children in 5th and 6th grade modeled fraction division with physical objects after modeling a series of addition, subtraction, multiplication, and division problems with whole number operands and fraction operands. In one condition, problems were blocked by operation, such that children modeled fraction problems immediately after analogous whole number problems (e.g., fraction division problems followed whole number division problems. In another condition, problems were blocked by number type, such that children modeled all four arithmetic operations with whole numbers in the first block, and then operations with fractions in the second block. Children who solved whole number division problems immediately before fraction division problems were significantly better at modeling the conceptual structure of fraction division than those who solved all of the fraction problems together. Thus, implicit analogies across shared concepts can affect children’s mathematical thinking. Moreover, specific analogies between whole number and fraction concepts can yield a positive, rather than a negative, whole number bias.

Universals and Specifics of Math Self-Concept, Math Self-Efficacy, and Math Anxiety across 41 PISA 2003 Participating Countries

Science.gov (United States)

Lee, Jihyun

2009-01-01

The overarching goal of the present study is to investigate the factorial structure of three closely related constructs: math self-concept, math self-efficacy, and math anxiety. The factorial structure consisting of three factors, each representing math self-concept, math self-efficacy, and math anxiety, is supported in all 41 countries employed…

College Math Assessment: SAT Scores vs. College Math Placement Scores

Science.gov (United States)

Foley-Peres, Kathleen; Poirier, Dawn

2008-01-01

Many colleges and university's use SAT math scores or math placement tests to place students in the appropriate math course. This study compares the use of math placement scores and SAT scores for 188 freshman students. The student's grades and faculty observations were analyzed to determine if the SAT scores and/or college math assessment scores…

Taking Math Anxiety out of Math Instruction

Science.gov (United States)

Shields, Darla J.

2007-01-01

To take math anxiety out of math instruction, teachers need to first know how to easily diagnose it in their students and second, how to analyze causes. Results of a recent study revealed that while students believed that their math anxiety was largely related to a lack of mathematical understanding, they often blamed their teachers for causing…

Fostering Early Math Comprehension: Experimental Evidence from Paraguay

Directory of Open Access Journals (Sweden)

Emma Naslund-Hadley

2014-11-01

Full Text Available Research indicates that preschool children need to learn pre-math skills to build a foundation for primary- and secondary-level mathematics. This paper presents the results from the early stages of a pilot mathematics program implemented in Cordillera, Paraguay. In a context of significant gaps in teacher preparation and pedagogy, the program uses interactive audio segments that cover the entire preschool math curriculum. Since Paraguayan classrooms tend to be bilingual, the audio and written materials use a combination of Spanish and Guaraní. Based on an experimental evaluation since the program’s implementation, we document positive and significant improvements of 0.16 standard deviations in standardized test scores. The program helped narrow learning gaps between low- and high-performing students, and between students with trained teachers and those whose teachers lack formal training in early childhood education. Moreover, the program improved learning equally among both Guaraní- and Spanish-speaking students. But not all learning gaps narrowed as a result of the program. Although girls improved significantly, boys improved much more, ultimately increasing the gender gap. To close this gender gap, the program has been modified to encourage girls’ increased participation in the classroom and general interest in math

Prediction of Basic Math Course Failure Rate in the Physics, Meteorology, Mathematics, Actuarial Sciences and Pharmacy Degree Programs

Directory of Open Access Journals (Sweden)

Luis Rojas-Torres

2014-09-01

Full Text Available This paper summarizes a study conducted in 2013 with the purpose of predicting the failure rate of math courses taken by Pharmacy, Mathematics, Actuarial Science, Physics and Meteorology students at Universidad de Costa Rica (UCR. Using the Logistics Regression statistical techniques applied to the 2010 cohort, failure rates were predicted of students in the aforementioned programs in one of their Math introductory courses (Calculus 101 for Physics and Meteorology, Math Principles for Mathematics and Actuarial Science and Applied Differential Equations for Pharmacy. For these models, the UCR admission average, the student’s genre, and the average correct answers in the Quantitative Skills Test were used as predictor variables. The most important variable for all models was the Quantitative Skills Test, and the model with the highest correct classification rate was the Logistics Regression. For the estimated Physics-Meteorology, Pharmacy and Mathematics-Actuarial Science models, correct classifications were 89.8%, 73.6%, and 93.9%, respectively.

Embedding Number-Combinations Practice Within Word-Problem Tutoring

Science.gov (United States)

Powell, Sarah R.; Fuchs, Lynn S.; Fuchs, Douglas

2012-01-01

Two aspects of mathematics with which students with mathematics learning difficulty (MLD) often struggle are word problems and number-combination skills. This article describes a math program in which students receive instruction on using algebraic equations to represent the underlying problem structure for three word-problem types. Students also learn counting strategies for answering number combinations that they cannot retrieve from memory. Results from randomized-control trials indicated that embedding the counting strategies for number combinations produces superior word-problem and number-combination outcomes for students with MLD beyond tutoring programs that focus exclusively on number combinations or word problems. PMID:22661880

Neural correlates of math anxiety – an overview and implications

Science.gov (United States)

Artemenko, Christina; Daroczy, Gabriella; Nuerk, Hans-Christoph

2015-01-01

Math anxiety is a common phenomenon which can have a negative impact on numerical and arithmetic performance. However, so far little is known about the underlying neurocognitive mechanisms. This mini review provides an overview of studies investigating the neural correlates of math anxiety which provide several hints regarding its influence on math performance: while behavioral studies mostly observe an influence of math anxiety on difficult math tasks, neurophysiological studies show that processing efficiency is already affected in basic number processing. Overall, the neurocognitive literature suggests that (i) math anxiety elicits emotion- and pain-related activation during and before math activities, (ii) that the negative emotional response to math anxiety impairs processing efficiency, and (iii) that math deficits triggered by math anxiety may be compensated for by modulating the cognitive control or emotional regulation network. However, activation differs strongly between studies, depending on tasks, paradigms, and samples. We conclude that neural correlates can help to understand and explore the processes underlying math anxiety, but the data are not very consistent yet. PMID:26388824

Neural correlates of math anxiety – An overview and implications

Directory of Open Access Journals (Sweden)

Christina eArtemenko

2015-09-01

Full Text Available Math anxiety is a common phenomenon which can have a negative impact on numerical and arithmetic performance. However, so far little is known about the underlying neurocognitive mechanisms. This mini review provides an overview of studies investigating the neural correlates of math anxiety which provide several hints regarding its influence on math performance: while behavioral studies mostly observe an influence of math anxiety on difficult math tasks, neurophysiological studies show that processing efficiency is already affected in basic number processing. Overall, the neurocognitive literature suggests that (i math anxiety elicits emotion- and pain-related activation during and before math activities, (ii that the negative emotional response to math anxiety impairs processing efficiency, and (iii that math deficits triggered by math anxiety may be compensated for by modulating the cognitive control or emotional regulation network. However, activation differs strongly between studies, depending on tasks, paradigms and samples. We conclude that neural correlates can help to understand and explore the processes underlying math anxiety, but the data are not very consistent yet.

A Study of Perceptions of Math Mindset, Math Anxiety, and View of Math by Young Adults

Science.gov (United States)

Hocker, Tami

2017-01-01

This study's purpose was to determine whether instruction in growth math mindset led to change in perceptions of 18-22-year-old at-risk students in math mindset, math anxiety, and view of math. The experimental curriculum was created by the researcher with the guidance of experts in mathematics and education and focused on the impact of brain…

The Measurement Properties of the Assessing Math Concepts' Assessments of Primary Students' Number Sense Skills.

Science.gov (United States)

Martin, Christie; Lambert, Richard; Polly, Drew; Wang, Chuang; Pugalee, David

The purpose of this study was to examine the measurement properties of the Assessing Math Concepts AMC Anywhere Hiding and Ten Frame Assessments, formative assessments of primary students' number sense skills. Each assessment has two parts, where Part 1 is intended to be foundational skills for part two. Part 1 includes manipulatives whereas Part 2 does not. Student data from 228 kindergarten through second grade teachers with a total of 3,666 students was analyzed using Rasch scaling. Data analyses indicated that when the two assessments were examined separately the intended order of item difficulty was clear. When the parts of both assessments were analyzed together, the items in Part 2 were not consistently more difficult that the items in Part 1. This suggests an alternative sequence of tasks in that students may progress from working with a specific number with manipulatives then without manipulatives rather than working with a variety of numbers with manipulatives before moving onto assessments without manipulatives.

77 FR 21089 - Notice of Submission for OMB Review; Application for Grants Under the Upward Bound Math and...

Science.gov (United States)

2012-04-09

... Upward Bound Math and Science Program AGENCY: Office of Postsecondary Education, Department of Education. SUMMARY: The Upward Bound Math and Science (UBMS) program provides grants to institutions of higher... for success in a program of postsecondary education that lead to careers in math and science. DATES...

Guiding Math Students to Campus Services: An Impact Evaluation of the Beacon Program at South Texas College

Science.gov (United States)

Visher, Mary; Butcher, Kristin F.; Cerna, Oscar S.

2011-01-01

This research rigorously evaluates whether a low-cost intervention can improve students' performance in developmental math. The "Beacon Mentoring Program" was developed at South Texas College by professors, administrators, and staff at the college. Surveys of students revealed that many did not have someone on campus whom they felt they…

Supporting English Language Learners in Math Class, Grades K-2

Science.gov (United States)

Bresser, Rusty; Melanese, Kathy; Sphar, Christine

2009-01-01

More than 10 percent of the students in our nation's public schools are English language learners, and this number grows each year. Many of these students are falling behind in math. "Supporting English Language Learners in Math Class, Grades K-2" outlines the challenges ELL students face when learning math and provides a wealth of specific…

Supporting English Language Learners in Math Class, Grades 3-5

Science.gov (United States)

Bresser, Rusty; Melanese, Kathy; Sphar, Christine

2009-01-01

More than 10 percent of the students in our nation's public schools are English language learners, and this number grows each year. Many of these students are falling behind in math. "Supporting English Language Learners in Math Class, Grades 3-5" outlines the challenges ELL students face when learning math and provides a wealth of specific…

The role of self-math overlap in understanding math anxiety and the relation between math anxiety and performance

OpenAIRE

Necka, Elizabeth A.; Sokolowski, H. Moriah; Lyons, Ian M.

2015-01-01

Recent work has demonstrated that math anxiety is more than just the product of poor math skills. Psychosocial factors may play a key role in understanding what it means to be math anxious, and hence may aid in attempts to sever the link between math anxiety and poor math performance. One such factor may be the extent to which individuals integrate math into their sense of self. We adapted a well-established measure of this degree of integration (i.e., self-other overlap) to assess individual...

Effective Normalization for Copy Number Variation Detection from Whole Genome Sequencing

NARCIS (Netherlands)

Janevski, A.; Varadan, V.; Kamalakaran, S.; Banerjee, N.; Dimitrova, D.

2012-01-01

Background Whole genome sequencing enables a high resolution view ofthe human genome and provides unique insights into genome structureat an unprecedented scale. There have been a number of tools to infer copy number variation in the genome. These tools while validatedalso include a number of

The influence of experiencing success in math on math anxiety, perceived math competence, and math performance

NARCIS (Netherlands)

Jansen, B.R.J.; Louwerse, J.; Straatemeier, M.; van der Ven, S.H.G.; Klinkenberg, S.; van der Maas, H.L.J.

2013-01-01

It was investigated whether children would experience less math anxiety and feel more competent when they, independent of ability level, experienced high success rates in math. Comparable success rates were achieved by adapting problem difficulty to individuals' ability levels with a

Math in Action. Hands-On, Minds-On Math.

Science.gov (United States)

Waite-Stupiansky, Sandra; Stupiansky, Nicholas G.

1998-01-01

Hands-on math must also involve students' minds in creative thinking. Math manipulatives must be used for uncovering, not just discovering. This paper presents guidelines for planning hands-on, minds-on math for elementary students. Suggestions include dialoging, questioning, integrating manipulatives and other tools, writing, and evaluating. (SM)

Response to intervention in math

CERN Document Server

Riccomini, Paul J

2010-01-01

Boost academic achievement for all students in your mathematics classroom! This timely resource leads the way in applying RTI to mathematics instruction. The authors describe how the three tiers can be implemented in specific math areas and illustrate RTI procedures through case studies. Aligned with the NMAP final report and IES practice guide, this book includes: Intervention strategies for number sense, fractions, problem solving, and more Procedures for teaching math using systematic and explicit instruction for assessment, instructional planning, and evaluation Essential components to con

Math Anxiety and Math Ability in Early Primary School Years

Science.gov (United States)

Krinzinger, Helga; Kaufmann, Liane; Willmes, Klaus

2010-01-01

Mathematical learning disabilities (MLDs) are often associated with math anxiety, yet until now, very little is known about the causal relations between calculation ability and math anxiety during early primary school years. The main aim of this study was to longitudinally investigate the relationship between calculation ability, self-reported evaluation of mathematics, and math anxiety in 140 primary school children between the end of first grade and the middle of third grade. Structural equation modeling revealed a strong influence of calculation ability and math anxiety on the evaluation of mathematics but no effect of math anxiety on calculation ability or vice versa—contrasting with the frequent clinical reports of math anxiety even in very young MLD children. To summarize, our study is a first step toward a better understanding of the link between math anxiety and math performance in early primary school years performance during typical and atypical courses of development. PMID:20401159

Generalized r-Lah numbers

Indian Academy of Sciences (India)

016-0309-0. Generalized r-Lah numbers. MARK SHATTUCK. Department of ...... of Dowling lattices, Discrete Math. 312. (2012) 2337–2348. [7] Hsu L C and Shiue P J-S, A unified approach to generalized Stirling numbers, Adv. Appl. Math.

The math excellence workshop

International Nuclear Information System (INIS)

Lasser, Susan J.S.; Snelsire, Robert W.

1992-01-01

This paper describes the first two years of the Clemson University College of Engineering's Math Excellence Workshop, a program administered by Westinghouse Electric Corporation, Savannah River Site, and funded by the Department of Energy. The objective of the program is to prepare minority students for technical/scientific study, with the goal of increasing minority retention in the College of Engineering, Twenty-three African American students, all of whom had been accepted into the College of Engineering Fall 1990 freshman class, took part in the first year of the program. The contract paid for room, board, tuition, fees, books, and supplies for the students to live on campus and take a precalculus math course. In addition, the students attended a special honors workshop designed to prepare them to study technical material effectively. Twenty of the 23 students earned As or Bs in the precalculus class. All participants indicated that they felt confident of their ability to succeed academically at Clemson. At the end of the session, twenty of the students were still planning to major in engineering. The program was repeated the following summer with 24 students from the 1991 freshman class. Twelve of the students earned A's or B's in the precalculus class. (author)

The math excellence workshop

Energy Technology Data Exchange (ETDEWEB)

Lasser, Susan J.S.; Snelsire, Robert W [College of Engineering, Clemson University, Clemson, SC (United States)

1992-07-01

This paper describes the first two years of the Clemson University College of Engineering's Math Excellence Workshop, a program administered by Westinghouse Electric Corporation, Savannah River Site, and funded by the Department of Energy. The objective of the program is to prepare minority students for technical/scientific study, with the goal of increasing minority retention in the College of Engineering, Twenty-three African American students, all of whom had been accepted into the College of Engineering Fall 1990 freshman class, took part in the first year of the program. The contract paid for room, board, tuition, fees, books, and supplies for the students to live on campus and take a precalculus math course. In addition, the students attended a special honors workshop designed to prepare them to study technical material effectively. Twenty of the 23 students earned As or Bs in the precalculus class. All participants indicated that they felt confident of their ability to succeed academically at Clemson. At the end of the session, twenty of the students were still planning to major in engineering. The program was repeated the following summer with 24 students from the 1991 freshman class. Twelve of the students earned A's or B's in the precalculus class. (author)

Motivation and Math Anxiety for Ability Grouped College Math Students

Science.gov (United States)

Helming, Luralyn

2013-01-01

The author studied how math anxiety, motivation, and ability group interact to affect performance in college math courses. This clarified the effects of math anxiety and ability grouping on performance. It clarified the interrelationships between math anxiety, motivation, and ability grouping by considering them in a single analysis. It introduces…

The Potential Role of Science, Technology, Engineering, and Math Programs in Reducing Teen Dating Violence and Intimate Partner Violence.

Science.gov (United States)

D'Inverno, Ashley Schappell; Kearns, Megan C; Reidy, Dennis E

2016-12-01

Science, technology, engineering, and math (STEM) are growing fields that provide job stability, financial security, and health prosperity for professionals in these fields. Unfortunately, females are underrepresented in STEM, which is potentially both a consequence and precipitant of gender inequity in the United States. In addition to the financial and health benefits, increasing the number of girls and women in STEM fields may also indirectly prevent and/or reduce teen dating violence and intimate partner violence by: (1) increasing women's financial independence, thereby reducing dependence on potentially abusive partners; (2) decreasing household poverty and financial stress, which may lead to reductions in relationship discord; and (3) increasing attitudes and beliefs about women as equals, thereby increasing gender equity. In this commentary, we discuss the potential role of primary and secondary school STEM programs in reducing violence against women. We review the literature on existing evaluations of STEM programs for educational outcomes, discuss the limitations of these evaluations, and offer suggestions for future research.

See ya later calculator simple math tricks you can do in your head

CERN Document Server

Portable Press, Editors of

2017-01-01

See Ya Later Calculator demystifies numbers and math. With these simple, precise, and downright magical math tricks, readers can do everyday math faster than it takes to dig out their phone and find the calculator app. Clear, step-by-step, easily memorizable directions demonstrate more than 125 math operations anyone can do in their head. Plus, it features do-it-yourself math projects, puzzles, and even a bonus section for advanced mathophiles. Get ready to tackle fun problems such as… How to easily square any number How to add three-digit numbers How to use a mirror to measure the height of a building. How to make a ruler out of a dollar bill How to use geometry to paint walls, cut floor tiling, and do other home renovations How to subtract numbers…by adding And lots more...no calculator required.

How Math Anxiety Relates to Number–Space Associations

Science.gov (United States)

Georges, Carrie; Hoffmann, Danielle; Schiltz, Christine

2016-01-01

Given the considerable prevalence of math anxiety, it is important to identify the factors contributing to it in order to improve mathematical learning. Research on math anxiety typically focusses on the effects of more complex arithmetic skills. Recent evidence, however, suggests that deficits in basic numerical processing and spatial skills also constitute potential risk factors of math anxiety. Given these observations, we determined whether math anxiety also depends on the quality of spatial-numerical associations. Behavioral evidence for a tight link between numerical and spatial representations is given by the SNARC (spatial-numerical association of response codes) effect, characterized by faster left-/right-sided responses for small/large digits respectively in binary classification tasks. We compared the strength of the SNARC effect between high and low math anxious individuals using the classical parity judgment task in addition to evaluating their spatial skills, arithmetic performance, working memory and inhibitory control. Greater math anxiety was significantly associated with stronger spatio-numerical interactions. This finding adds to the recent evidence supporting a link between math anxiety and basic numerical abilities and strengthens the idea that certain characteristics of low-level number processing such as stronger number–space associations constitute a potential risk factor of math anxiety. PMID:27683570

The Cognitive Predictors of Computational Skill with Whole versus Rational Numbers: An Exploratory Study

Science.gov (United States)

Seethaler, Pamela M.; Fuchs, Lynn S.; Star, Jon R.; Bryant, Joan

2011-01-01

The purpose of the present study was to explore the 3rd-grade cognitive predictors of 5th-grade computational skill with rational numbers and how those are similar to and different from the cognitive predictors of whole-number computational skill. Students (n=688) were assessed on incoming whole-number calculation skill, language, nonverbal…

Predicting first-grade mathematics achievement: The contributions of domain-general cognitive abilities, nonverbal number sense, and early number competence.

Directory of Open Access Journals (Sweden)

Caroline eHornung

2014-04-01

Full Text Available Early number competence, grounded in number-specific and domain-general cognitive abilities, is theorized to lay the foundation for later math achievement. Few longitudinal studies have tested a comprehensive model for early math development. Using structural equation modeling and mediation analyses, the present work examined the influence of kindergarteners’ nonverbal number sense and domain-general abilities i.e., working memory, fluid intelligence, and receptive vocabulary and their early number competence (i.e., symbolic number skills on first grade math achievement (arithmetic, shape and space skills, and number line estimation assessed one year later. Latent regression models revealed that nonverbal number sense and working memory are central building blocks for developing early number competence in kindergarten and that early number competence is key for first grade math achievement. After controlling for early number competence, fluid intelligence significantly predicted arithmetic and number line estimation while receptive vocabulary significantly predicted shape and space skills. In sum we suggest that early math achievement draws on different constellations of number-specific and domain-general mechanisms.

The Relationship between Cognitive Reserve and Math Abilities

Directory of Open Access Journals (Sweden)

Giorgio Arcara

2017-12-01

Full Text Available Cognitive Reserve is the capital of knowledge and experiences that an individual acquires over their life-span. Cognitive Reserve is strictly related to Brain Reserve, which is the ability of the brain to cope with damage. These two concepts could explain many phenomena such as the modality of onset in dementia or the different degree of impairment in cognitive abilities in aging. The aim of this study is to verify the effect of Cognitive Reserve, as measured by a questionnaire, on a variety of numerical abilities (number comprehension, reading and writing numbers, rules and principles, mental calculations and written calculations, in a group of healthy older people (aged 65–98 years. Sixty older individuals were interviewed with the Cognitive Reserve Index questionnaire (CRIq, and assessed with the Numerical Activities of Daily Living battery (NADL, which included formal tasks on math abilities, an informal test on math, one interview with the participant, and one interview with a relative on the perceived math abilities. We also took into account the years of education, as another proxy for Cognitive Reserve. In the multiple regression analyses on all formal tests, CRIq scores did not significantly predict math performance. Other variables, i.e., years of education and Mini-Mental State Examination score, accounted better for math performance on NADL. Only a subsection of CRIq, CRIq-Working-activity, was found to predict performance on a NADL subtest assessing informal use of math in daily life. These results show that education might better explain abstract math functions in late life than other aspects related to Cognitive Reserve, such as lifestyle or occupational attainment.

The Relationship between Cognitive Reserve and Math Abilities.

Science.gov (United States)

Arcara, Giorgio; Mondini, Sara; Bisso, Alice; Palmer, Katie; Meneghello, Francesca; Semenza, Carlo

2017-01-01

Cognitive Reserve is the capital of knowledge and experiences that an individual acquires over their life-span. Cognitive Reserve is strictly related to Brain Reserve, which is the ability of the brain to cope with damage. These two concepts could explain many phenomena such as the modality of onset in dementia or the different degree of impairment in cognitive abilities in aging. The aim of this study is to verify the effect of Cognitive Reserve, as measured by a questionnaire, on a variety of numerical abilities (number comprehension, reading and writing numbers, rules and principles, mental calculations and written calculations), in a group of healthy older people (aged 65-98 years). Sixty older individuals were interviewed with the Cognitive Reserve Index questionnaire (CRIq), and assessed with the Numerical Activities of Daily Living battery (NADL), which included formal tasks on math abilities, an informal test on math, one interview with the participant, and one interview with a relative on the perceived math abilities. We also took into account the years of education, as another proxy for Cognitive Reserve. In the multiple regression analyses on all formal tests, CRIq scores did not significantly predict math performance. Other variables, i.e., years of education and Mini-Mental State Examination score, accounted better for math performance on NADL. Only a subsection of CRIq, CRIq-Working-activity, was found to predict performance on a NADL subtest assessing informal use of math in daily life. These results show that education might better explain abstract math functions in late life than other aspects related to Cognitive Reserve, such as lifestyle or occupational attainment.

Measurement of math beliefs and their associations with math behaviors in college students.

Science.gov (United States)

Hendy, Helen M; Schorschinsky, Nancy; Wade, Barbara

2014-12-01

Our purpose in the present study was to expand understanding of math beliefs in college students by developing 3 new psychometrically tested scales as guided by expectancy-value theory, self-efficacy theory, and health belief model. Additionally, we identified which math beliefs (and which theory) best explained variance in math behaviors and performance by college students and which students were most likely to have problematic math beliefs. Study participants included 368 college math students who completed questionnaires to report math behaviors (attending class, doing homework, reading textbooks, asking for help) and used a 5-point rating scale to indicate a variety of math beliefs. For a subset of 84 students, math professors provided final math grades. Factor analyses produced a 10-item Math Value Scale with 2 subscales (Class Devaluation, No Future Value), a 7-item single-dimension Math Confidence Scale, and an 11-item Math Barriers Scale with 2 subscales (Math Anxiety, Discouraging Words). Hierarchical multiple regression revealed that high levels of the newly discovered class devaluation belief (guided by expectancy-value theory) were most consistently associated with poor math behaviors in college students, with high math anxiety (guided by health belief model) and low math confidence (guided by self-efficacy theory) also found to be significant. Analyses of covariance revealed that younger and male students were at increased risk for class devaluation and older students were at increased risk for poor math confidence. (c) 2014 APA, all rights reserved.

Cognitive and Academic Profiles Associated with Math Disability Subtypes

Science.gov (United States)

Kubas, Hanna A.; Schmid, Amy D.; Drefs, Michelle A.; Poole, Jennifer M.; Holland, Sara; Fiorello, Catherine A.

2014-01-01

Children with math disabilities (MD) represent a heterogeneous group and often display deficits in one or more cognitive domains. Math proficiency requires a number of different cognitive processes, including quantitative knowledge, working memory, processing speed, fluid reasoning, and executive functions. Assessment practices that do not address…

Parents' Beliefs about Children's Math Development and Children's Participation in Math Activities

OpenAIRE

Susan Sonnenschein; Claudia Galindo; Shari R. Metzger; Joy A. Thompson; Hui Chih Huang; Heather Lewis

2012-01-01

This study explored associations between parents’ beliefs about children’s development and children’s reported math activities at home. Seventy-three parents were interviewed about the frequency of their children’s participation in a broad array of math activities, the importance of children doing math activities at home, how children learn math, parents’ role in their children’s math learning, and parents’ own math skills. Although the sample consisted of African Americans, Chinese, Latino, ...

Math Anxiety, Working Memory, and Math Achievement in Early Elementary School

Science.gov (United States)

Ramirez, Gerardo; Gunderson, Elizabeth A.; Levine, Susan C.; Beilock, Sian L.

2013-01-01

Although math anxiety is associated with poor mathematical knowledge and low course grades (Ashcraft & Krause, 2007), research establishing a connection between math anxiety and math achievement has generally been conducted with young adults, ignoring the emergence of math anxiety in young children. In the current study, we explored whether…

Mothers, Intrinsic Math Motivation, Arithmetic Skills, and Math Anxiety in Elementary School.

Science.gov (United States)

Daches Cohen, Lital; Rubinsten, Orly

2017-01-01

Math anxiety is influenced by environmental, cognitive, and personal factors. Yet, the concurrent relationships between these factors have not been examined. To this end, the current study investigated how the math anxiety of 30 sixth graders is affected by: (a) mother's math anxiety and maternal behaviors (environmental factors); (b) children's arithmetic skills (cognitive factors); and (c) intrinsic math motivation (personal factor). A rigorous assessment of children's math anxiety was made by using both explicit and implicit measures. The results indicated that accessible self-representations of math anxiety, as reflected by the explicit self-report questionnaire, were strongly affected by arithmetic skills. However, unconscious cognitive constructs of math anxiety, as reflected by the numerical dot-probe task, were strongly affected by environmental factors, such as maternal behaviors and mothers' attitudes toward math. Furthermore, the present study provided preliminary evidence of intergenerational transmission of math anxiety. The conclusions are that in order to better understand the etiology of math anxiety, multiple facets of parenting and children's skills should be taken into consideration. Implications for researchers, parents, and educators are discussed.

Science and Math in the Library Media Center Using GLOBE.

Science.gov (United States)

Aquino, Teresa L.; Levine, Elissa R.

2003-01-01

Describes the Global Learning and Observations to Benefit the Environment (GLOBE) program which helps school library media specialists and science and math teachers bring earth science, math, information literacy, information technology, and student inquiry into the classroom. Discusses use of the Internet to create a global network to study the…

Elementary number theory with programming

CERN Document Server

Lewinter, Marty

2015-01-01

A successful presentation of the fundamental concepts of number theory and computer programming Bridging an existing gap between mathematics and programming, Elementary Number Theory with Programming provides a unique introduction to elementary number theory with fundamental coverage of computer programming. Written by highly-qualified experts in the fields of computer science and mathematics, the book features accessible coverage for readers with various levels of experience and explores number theory in the context of programming without relying on advanced prerequisite knowledge and con

Encouraging Competence in Basic Mathematics in Hydrology using The Math You Need

Science.gov (United States)

Fredrick, K. C.

2011-12-01

California University of Pennsylvania has experienced significant growth in interest of its Earth Science programs over the last few years. With the burgeoning shale gas exploration and drilling, along with continued environmental problems, students and parents recognize the potential for jobs in the region in the Geosciences. With this increase in student interest has come an increase in the number of majors including a greater number of first-year students entering the major right from high school. Hydrology, is an important course within the Earth Science department curriculum. It is required by all Geology, Meteorology, and Earth and Space Science Education majors. It also serves majors from the Biology program, but is not required. This mix of students based on major expectations, grade level, and background leads to a varied distribution of math competencies. Many students enter unprepared for the rigors of a physics-based Hydrology course. The pre-requisites for the course are Introduction to Geology, a mostly non-quantitative survey course, and College Algebra. However, some students are more confident in their math skills because they have completed some level of Calculus. Regardless of the students' perceived abilities, nearly all struggle early on in the course because they have never used math within the context of Hydrology (or Science for that matter) , including continuity, conservation, and fluid dynamics. In order to make sure students have the basic skills to understand the science, it has been necessary to dedicate significant class time to such topics as Unit Conversions, Scientific Notation, Significant Figures, and basic Graphing. The Math You Need (TMYN) is an online tool, which requires students to complete instructor-selected questions to assess student competence in fundamental math topics. Using Geology as the context for the questions in the database, TMYN is ideal for introductory-level courses, but can also be effective as a review

Modern maths

CERN Multimedia

Thom,R

1974-01-01

Le Prof. R. Thom expose ses vues sur l'enseignement des mathématiques modernes et des mathémathiques de toujours. Il est un grand mathématicien et était professeur à Strasbourg; maintenant il est professeur de hautes études scientifiques et était invité par le Prof. Piaget à Genève

Maths in Prison

Directory of Open Access Journals (Sweden)

Catherine Patricia Byrne

2015-08-01

Full Text Available I teach maths to all levels in an adult male remand prison in Ireland and am also studying for a PhD in maths in prison education in Dublin Institute of Technology (DIT. This paper describes recent initiatives piloted by maths teachers and school management to increase attendance, engagement and certification in maths. It assesses the effects of the initiatives and looks at future potential in this setting and in others. To set the paper in context, I begin by describing a typical day as a prison maths teacher.

The role of early language abilities on math skills among Chinese children.

Directory of Open Access Journals (Sweden)

Juan Zhang

Full Text Available The present study investigated the role of early language abilities in the development of math skills among Chinese K-3 students. About 2000 children in China, who were on average aged 6 years, were assessed for both informal math (e.g., basic number concepts such as counting objects and formal math (calculations including addition and subtraction skills, language abilities and nonverbal intelligence.Correlation analysis showed that language abilities were more strongly associated with informal than formal math skills, and regression analyses revealed that children's language abilities could uniquely predict both informal and formal math skills with age, gender, and nonverbal intelligence controlled. Mediation analyses demonstrated that the relationship between children's language abilities and formal math skills was partially mediated by informal math skills.The current findings indicate 1 Children's language abilities are of strong predictive values for both informal and formal math skills; 2 Language abilities impacts formal math skills partially through the mediation of informal math skills.

Mothers, Intrinsic Math Motivation, Arithmetic Skills, and Math Anxiety in Elementary School

Science.gov (United States)

Daches Cohen, Lital; Rubinsten, Orly

2017-01-01

Math anxiety is influenced by environmental, cognitive, and personal factors. Yet, the concurrent relationships between these factors have not been examined. To this end, the current study investigated how the math anxiety of 30 sixth graders is affected by: (a) mother’s math anxiety and maternal behaviors (environmental factors); (b) children’s arithmetic skills (cognitive factors); and (c) intrinsic math motivation (personal factor). A rigorous assessment of children’s math anxiety was made by using both explicit and implicit measures. The results indicated that accessible self-representations of math anxiety, as reflected by the explicit self-report questionnaire, were strongly affected by arithmetic skills. However, unconscious cognitive constructs of math anxiety, as reflected by the numerical dot-probe task, were strongly affected by environmental factors, such as maternal behaviors and mothers’ attitudes toward math. Furthermore, the present study provided preliminary evidence of intergenerational transmission of math anxiety. The conclusions are that in order to better understand the etiology of math anxiety, multiple facets of parenting and children’s skills should be taken into consideration. Implications for researchers, parents, and educators are discussed. PMID:29180973

Mothers, Intrinsic Math Motivation, Arithmetic Skills, and Math Anxiety in Elementary School

Directory of Open Access Journals (Sweden)

Lital Daches Cohen

2017-11-01

Full Text Available Math anxiety is influenced by environmental, cognitive, and personal factors. Yet, the concurrent relationships between these factors have not been examined. To this end, the current study investigated how the math anxiety of 30 sixth graders is affected by: (a mother’s math anxiety and maternal behaviors (environmental factors; (b children’s arithmetic skills (cognitive factors; and (c intrinsic math motivation (personal factor. A rigorous assessment of children’s math anxiety was made by using both explicit and implicit measures. The results indicated that accessible self-representations of math anxiety, as reflected by the explicit self-report questionnaire, were strongly affected by arithmetic skills. However, unconscious cognitive constructs of math anxiety, as reflected by the numerical dot-probe task, were strongly affected by environmental factors, such as maternal behaviors and mothers’ attitudes toward math. Furthermore, the present study provided preliminary evidence of intergenerational transmission of math anxiety. The conclusions are that in order to better understand the etiology of math anxiety, multiple facets of parenting and children’s skills should be taken into consideration. Implications for researchers, parents, and educators are discussed.

Remediation of Childhood Math Anxiety and Associated Neural Circuits through Cognitive Tutoring.

Science.gov (United States)

Supekar, Kaustubh; Iuculano, Teresa; Chen, Lang; Menon, Vinod

2015-09-09

Math anxiety is a negative emotional reaction that is characterized by feelings of stress and anxiety in situations involving mathematical problem solving. High math-anxious individuals tend to avoid situations involving mathematics and are less likely to pursue science, technology, engineering, and math-related careers than those with low math anxiety. Math anxiety during childhood, in particular, has adverse long-term consequences for academic and professional success. Identifying cognitive interventions and brain mechanisms by which math anxiety can be ameliorated in children is therefore critical. Here we investigate whether an intensive 8 week one-to-one cognitive tutoring program designed to improve mathematical skills reduces childhood math anxiety, and we identify the neurobiological mechanisms by which math anxiety can be reduced in affected children. Forty-six children in grade 3, a critical early-onset period for math anxiety, participated in the cognitive tutoring program. High math-anxious children showed a significant reduction in math anxiety after tutoring. Remarkably, tutoring remediated aberrant functional responses and connectivity in emotion-related circuits anchored in the basolateral amygdala. Crucially, children with greater tutoring-induced decreases in amygdala reactivity had larger reductions in math anxiety. Our study demonstrates that sustained exposure to mathematical stimuli can reduce math anxiety and highlights the key role of the amygdala in this process. Our findings are consistent with models of exposure-based therapy for anxiety disorders and have the potential to inform the early treatment of a disability that, if left untreated in childhood, can lead to significant lifelong educational and socioeconomic consequences in affected individuals. Significance statement: Math anxiety during early childhood has adverse long-term consequences for academic and professional success. It is therefore important to identify ways to alleviate

Math Game(s) - an alternative (approach) to teaching math?

OpenAIRE

Ruttkay, Z.M.; Eliens, A.P.W.; Breitlauch, L.

2009-01-01

Getting students to read, digest and practice material is difficult in any discipline, but even more so for math, since many students have to cope with motivational problems and feelings of inadequacy, often due to prior unsuccesful training and teaching methods. In this paper we look at the opportunities offered by computer graphics, visual programming and game design as an alternative for traditional methods of teaching mathemathics. In particular, games may be deployed both as intruments to d...

The relation between math self-concept, test and math anxiety, achievement motivation and math achievement in 12 to 14-year-old typically developing adolescents

OpenAIRE

Timmerman, H.L.; Toll, S.W.M.; van Luit, J.E.H.

2017-01-01

:This study examines the relation between math self-concept, test and math anxiety, achievement motivation, and math achievement in typically developing 12 to 14-year-old adolescents (N = 108) from a school for secondary education in the Netherlands. Data was obtained using a math speed test, achievement motivation test, and the math experience questionnaire. A significant positive correlation was found between math self-concept and math achievement in all four math domains (measurement, rela...

Math and science illiteracy: Social and economic impacts

Energy Technology Data Exchange (ETDEWEB)

Williams, J.L.

1994-05-01

Today`s highly competitive global economy is being driven by increasingly rapid technological development. This paper explores the problems of math and science illiteracy in the United States and the potential impact on our economic survival in this environment during the next century. Established educational methods that reward task performance, emphasize passive lecture, and fail to demonstrate relevance to real life are partly to blame. Social norms, stereotypes, and race and gender bias also have an impact. To address this crisis, we need to question the philosophy of an educational system that values task over concept. Many schools have already initiated programs at all grade levels to make math and science learning more relevant, stimulating, and fun. Teaching methods that integrate math and science learning with teamwork, social context, and other academic subjects promote the development of higher-order thinking skills and help students see math and science as necessary skills.

Investigating the Effects of a Structured Writing Program in a Math Classroom: A Quantitative Study

Science.gov (United States)

Girsa, Heather

2016-01-01

In a northeastern state eighth grade math students are struggling with meeting adequate yearly progress in math. The state's math proficiency in the school year 2013-2014 for eighth grade students showed that only 56% scored at grade level or above. The local problem addressed in this study is that 44% of a northeastern state's eighth graders are…

Math Shelf: A Randomized Trial of a Prekindergarten Tablet Number Sense Curriculum

Science.gov (United States)

Schacter, John; Shih, Jeff; Allen, Charles M.; DeVaul, Lina; Adkins, Amy B.; Ito, Taro; Jo, Booil

2016-01-01

Research Findings: Effective preschool mathematics instruction is especially important for low-income children. Previous research demonstrates that low-income children enter kindergarten behind their middle-income peers. They receive less mathematics support at home and from public preschools. The aim of this study was to test Math Shelf, a tablet…

Mathematics intervention for children with fetal alcohol spectrum disorder: A replication and extension of the math interactive learning experience (MILE) program.

Science.gov (United States)

Kully-Martens, Katrina; Pei, Jacqueline; Kable, Julie; Coles, Claire D; Andrew, Gail; Rasmussen, Carmen

2018-07-01

Individuals with fetal alcohol spectrum disorders (FASD) experience deficits in behavior, cognition, and academic functioning resulting from prenatal alcohol exposure (PAE). Although receiving intervention for developmental disabilities is a strong protective factor against negative outcomes in FASD, intervention research in this population is in its infancy. The purpose of this study was to replicate and extend a mathematics intervention, the Math Interactive Learning Experience (MILE) program, which was developed in the USA specifically for children with FASD. Twenty-eight Canadian children aged 4-10 years with confirmed PAE or an FASD diagnosis were assigned to either the MILE intervention or a contrast intervention. Following a relatively brief, individualized, one-on-one intervention, children in the MILE group demonstrated significantly greater changes in math achievement compared to the contrast group. Significant changes in other cognitive functions were not observed. Older age, lower IQ, and confirmed PAE but no FASD diagnosis were associated with greater math achievement change in the MILE group. The replication and extension of the math intervention appears to have significant, positive impact on mathematics achievement scores of children with PAE and FASD. Copyright © 2018 Elsevier Ltd. All rights reserved.

Does Initial Learning about the Meaning of Fractions Present Similar Challenges for Students with and without Adequate Whole-Number Skill?

Science.gov (United States)

Namkung, Jessica M; Fuchs, Lynn S; Koziol, Natalie

2018-01-01

The purposes of this study were to (a) explore whether early fractions understanding at 4 th grade is differentially challenging for students with versus without adequate whole-number competence and (b) identify specific whole-number skill associated with difficulty in fractions understanding. Based on initial whole-number competence, 1,108 4 th graders were classified as having (a) adequate whole-number competence ( n = 775), (b) less severe whole-number difficulty ( n = 201), and (c) severe whole-number difficulty ( n = 132). At the end of 4 th grade, they were assessed on fractions understanding and further classified as with versus without difficulty in fractions understanding. Multi-level logistic regression indicated that compared to students with adequate whole-number competence, those with less severe whole-number difficulty were almost 5 times as likely to experience difficulty with fractions understanding whereas those with severe whole-number difficulty were about 32 times as likely to experience difficulty with fractions understanding. Students with severe whole-number difficulty were about 7 times as likely to experience difficulty with fractions understanding compared to those with less severe whole-number difficulty. Among students with adequate whole-number competence, the pretest whole-number skill distinguishing those with versus without difficulty in fractions understanding was basic division facts (i.e., 2-digit dividend ÷ 1-digit divisor) and simple multiplication (i.e., 3-digit × 1-digit without regrouping). The role of whole-number competence in developing initial fractions understanding and implications for instruction are discussed.

An Examination of the Promise of the NumberShire Level 1 Gaming Intervention for Improving Student Mathematics Outcomes

Science.gov (United States)

Fien, Hank; Doabler, Christian T.; Nelson, Nancy J.; Kosty, Derek B.; Clarke, Ben; Baker, Scott K.

2016-01-01

The purpose of this study was to test the promise of the NumberShire Level 1 Gaming Intervention (NS1) to accelerate math learning for first-grade students with or at risk for math difficulties. The NS1 intervention was developed through the Institute of Education Sciences, Small Business Innovation Research Program (Gause, Fien, Baker, &…

Implications for School Leaders of the Impact of Math, Science, and Technology Magnet Programs on Middle School Student Achievement

Science.gov (United States)

Hinojosa, Lupita

2012-01-01

Although many national studies have been conducted on the effectiveness of magnet programs, there is limited research involving math, science, and technology magnet schools and their influence on student academic performance, especially at the middle school level. The purpose of this study was to determine whether a statistical difference existed…

Effectiveness of a Class-Wide Peer-Mediated Elementary Math Differentiation Strategy

Science.gov (United States)

Lloyd, Jason D.

2017-01-01

Approximately 60% of classroom students have insufficient math skills. Within a Multi-Tiered Systems of Support (MTSS) framework, teachers can implement core differentiation strategies targeted at improving math skills of an entire class of students. Differentiation programs are developed in order to target academic skills of groups of students…

The Groove of Growth: How Early Gains in Math Ability Influence Adolescent Achievement

Science.gov (United States)

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

2014-01-01

A number of studies, both small scale and of nationally-representative student samples, have reported substantial associations between school entry math ability and later elementary school achievement. However, questions remain regarding the persistence of the association between early growth in math ability and later math achievement due to the…

78 FR 18326 - Agency Information Collection Activities; Comment Request; Upward Bound and Upward Bound Math...

Science.gov (United States)

2013-03-26

...; Comment Request; Upward Bound and Upward Bound Math Science Annual Performance Report AGENCY: The Office... considered public records. Title of Collection: Upward Bound and Upward Bound Math Science Annual Performance...) and Upward Bound Math and Science (UBMS) Programs. The Department is requesting a new APR because of...

Climate change in the classroom: Reaching out to middle school students through science and math suitcase lessons

Science.gov (United States)

Jacobo, A. C.; Collay, R.; Harris, R. N.; de Silva, L.

2011-12-01

We have formed a link between the Increasing Diversity in Earth Sciences (IDES) program with the Science and Math Investigative Learning Experiences (SMILE) program, both at Oregon State University. The IDES mission is to strengthen the understanding of Earth Sciences and their relevance to society among broad and diverse segments of the population and the SMILE mission is to provide science and math enrichment for underrepresented and other educationally underserved students in grades 4-12. Traditionally, underserved schools do not have enough time or resources to spend on science and mathematics. Furthermore, numerous budget cuts in many Oregon school districts have negatively impacted math and science cirriculum. To combat this trend we have designed suitcase lessons in climate change that can be carried to a number of classrooms. These lesson plans are scientifically rich and economically attractive. These lessons are designed to engage students in math and science through climate change presentations, group discussions, and hands-on activities. Over the past year we have familiarized ourselves with the academic ability of sixth and seventh graders through in-class observation in Salem Oregon. One of the suit case lessons we developed focuses on climate change by exploring the plight of polar bears in the face of diminishing sea ice. Our presentation will report the results of this activity.

Launching Kindergarten Math Clubs: The Implementation of High 5s in New York City

Science.gov (United States)

Jacob, Robin; Erickison, Anna; Mattera, Shira K.

2018-01-01

Early math has been shown to predict not only longer-term math achievement, but also future reading achievement, high school completion, and college attendance. Yet effects from early math programs often fade out as children move into more varied instructional contexts in elementary school. This fade-out suggests the need for an alignment of math…

78 FR 41924 - Privacy Act of 1974; System of Records-Impact Evaluation of Math Professional Development

Science.gov (United States)

2013-07-12

... DEPARTMENT OF EDUCATION Privacy Act of 1974; System of Records--Impact Evaluation of Math... ``Impact Evaluation of Math Professional Development'' (18-13-35). The National Center for Education...-focused math professional development (PD) program on teacher knowledge, teacher practices, and student...

Gender compatibility, math-gender stereotypes, and self-concepts in math and physics

Science.gov (United States)

Koul, Ravinder; Lerdpornkulrat, Thanita; Poondej, Chanut

2016-12-01

[This paper is part of the Focused Collection on Gender in Physics.] Positive self-assessment of ability in the quantitative domains is considered critical for student participation in science, technology, engineering, and mathematics field studies. The present study investigated associations of gender compatibility (gender typicality and contentedness) and math-gender stereotypes with self-concepts in math and physics. Statistical analysis of survey data was based on a sample of 170 male and female high school science students matched on propensity scores based on age and past GPA scores in math. Results of MANCOVA analyses indicated that the combination of high personal gender compatibility with low endorsement of math-gender stereotypes was associated with low gender differentials in math and physics self-concepts whereas the combination of high personal gender compatibility with high endorsement of math-gender stereotypes was associated with high gender differentials in math and physics self-concepts. These results contribute to the recent theoretical and empirical work on antecedents to the math and physics identities critical to achieving gender equity in STEM fields.

78 FR 2379 - Agency Information Collection Activities; Comment Request; Impact Evaluation of Math Professional...

Science.gov (United States)

2013-01-11

...; Comment Request; Impact Evaluation of Math Professional Development AGENCY: IES/NCES, Department of... of Math Professional Development. OMB Control Number: 1850-NEW. Type of Review: New information... requests clearance to recruit and collect data from districts, schools, and teachers for a study of math...

Math-A-Day A Book of Days for Your Mathematical Year

CERN Document Server

Pappas, Theoni

1999-01-01

Pappas has come up with yet another way to make math part of your life. MATH -A-DAY is not a calendar and not a reference book, but a compendium of mathematical information that will give you your math fix everyday.Each day -kick starts your brain with a problem or puzzle with detailed solutions includedhas a mathematical quote to inspire the other side of your brainfeatures a historical or current math note on a host of mathematica ideashas its date expressed in another number systemStart off your day with it. · Take it to meetings. · Share it with friends.

Maths in Prison

OpenAIRE

Catherine Patricia Byrne

2015-01-01

I teach maths to all levels in an adult male remand prison in Ireland and am also studying for a PhD in maths in prison education in Dublin Institute of Technology (DIT). This paper describes recent initiatives piloted by maths teachers and school management to increase attendance, engagement and certification in maths. It assesses the effects of the initiatives and looks at future potential in this setting and in others. To set the paper in context, I begin by describing a typical day as a ...

Maths in Prison

OpenAIRE

Byrne, Catherine; Carr, Michael

2015-01-01

I teach maths to all levels in an adult male remand prison in Ireland and am also studying for a PhD in maths in prison education in Dublin Institute of Technology (DIT). This paper describes recent initiatives piloted by maths teachers and school management to increase attendance, engagement and certification in maths. It assesses the effects of the initiatives and looks at future potential in this setting and in others. To set the paper in context, I begin by describing a typical day as a p...

A Latent Profile Analysis of Math Achievement, Numerosity, and Math Anxiety in Twins

Science.gov (United States)

Hart, Sara A.; Logan, Jessica A. R.; Thompson, Lee; Kovas, Yulia; McLoughlin, Gráinne; Petrill, Stephen A.

2016-01-01

Underperformance in math is a problem with increasing prevalence, complex etiology, and severe repercussions. This study examined the etiological heterogeneity of math performance in a sample of 264 pairs of 12-year-old twins assessed on measures of math achievement, numerosity, and math anxiety. Latent profile analysis indicated 5 groupings of…

Relationship between Affective Dimension and Math Learning

Directory of Open Access Journals (Sweden)

Ronny Gamboa Araya

2014-05-01

Full Text Available Math has become an obstacle to achieve educational goals for a large number of students; thus it has transcended the academic world and has become a cognitive and emotional impairment.  What students feel, perceive, believe, and how they act directly influences this.  In addition, what teachers feel and perceive, their expectations, beliefs and attitudes towards the discipline also play an important role in how they teach and in the affective dimension of their students.  Based on theoretical aspects from various authors, this paper is aimed at addressing some elements regarding the affective dimension, and at showing elements pertaining to teachers and students, and their relationship with math learning and teaching.  It was concluded that the role of the affective dimension in math learning must be addressed by math educators in order to understand the process from the perspective of the actors associated with it, both students and teachers, as well as to achieve a change in the discipline by improving the beliefs and attitudes of students and teachers.

Productive failure in learning math.

Science.gov (United States)

Kapur, Manu

2014-06-01

When learning a new math concept, should learners be first taught the concept and its associated procedures and then solve problems, or solve problems first even if it leads to failure and then be taught the concept and the procedures? Two randomized-controlled studies found that both methods lead to high levels of procedural knowledge. However, students who engaged in problem solving before being taught demonstrated significantly greater conceptual understanding and ability to transfer to novel problems than those who were taught first. The second study further showed that when given an opportunity to learn from the failed problem-solving attempts of their peers, students outperformed those who were taught first, but not those who engaged in problem solving first. Process findings showed that the number of student-generated solutions significantly predicted learning outcomes. These results challenge the conventional practice of direct instruction to teach new math concepts and procedures, and propose the possibility of learning from one's own failed problem-solving attempts or those of others before receiving instruction as alternatives for better math learning. © 2014 Cognitive Science Society, Inc.

The Effectiveness of Using STAR Math to Improve PSSA Math Scores

Science.gov (United States)

Holub, Sherry L.

2017-01-01

This is a quantitative study examining whether STAR Math, a student monitoring system, can improve PSSA Math scores. The experimental school used STAR Math during the 2015-2016 school year in grouping students for remediation and intervention. The control school used traditional curriculum measures to group students for remediation and…

Advanced Math Course Taking: Effects on Math Achievement and College Enrollment

Science.gov (United States)

Byun, Soo-yong; Irvin, Matthew J.; Bell, Bethany A.

2015-01-01

Using data from the Educational Longitudinal Study of 2002-2006, the authors investigated the effects of advanced math course taking on math achievement and college enrollment and how such effects varied by socioeconomic status and race/ethnicity. Results from propensity score matching and sensitivity analyses showed that advanced math course…

Math on MXit: using MXit as a medium for mathematics education

CSIR Research Space (South Africa)

Butgereit, L

2007-04-01

Full Text Available It is common cause that the average mathematics mark among high school learners in South Africa has declined. Traditional “math clubs” and “math extra lessons” often do not work because of a number of reasons including 1) it being “uncool...

Accelerating Matlab performance 1001 tips to speed up Matlab programs

CERN Document Server

Altman, Yair M

2014-01-01

… a very interesting new book on MATLAB® performance … covering basic tools and an appropriate range of specific programming techniques. The book seems to take a whole-system approach … helping readers understand the big picture of how to get better performance.-Michelle Hirsch, Ph.D., Head of MATLAB® Product Management, The MathWorks Inc..

Programming by Numbers -- A Programming Method for Complete Novices

NARCIS (Netherlands)

Glaser, Hugh; Hartel, Pieter H.

2000-01-01

Students often have difficulty with the minutiae of program construction. We introduce the idea of `Programming by Numbers', which breaks some of the programming process down into smaller steps, giving such students a way into the process of Programming in the Small. Programming by Numbers does not

Affective and Motivational Factors Mediate the Relation between Math Skills and Use of Math in Everyday Life

Science.gov (United States)

Jansen, Brenda R. J.; Schmitz, Eva A.; van der Maas, Han L. J.

2016-01-01

This study focused on the use of math in everyday life (the propensity to recognize and solve quantitative issues in real life situations). Data from a Dutch nation-wide research on math among adults (N = 521) were used to investigate the question whether math anxiety and perceived math competence mediated the relationship between math skills and use of math in everyday life, taken gender differences into account. Results showed that women reported higher math anxiety, lower perceived math competence, and lower use of math in everyday life, compared to men. Women's skills were estimated at a lower level than men's. For both women and men, higher skills were associated with higher perceived math competence, which in turn was associated with more use of math in everyday life. Only for women, math anxiety also mediated the relation between math skills and use of math in everyday life. PMID:27148122

Affective and motivational factors mediate the relation between math skills and use of math in everyday life

Directory of Open Access Journals (Sweden)

Brenda RJ Jansen

2016-04-01

Full Text Available This study focused on the use of math in everyday life (the propensity to recognize and solve quantitative issues in real life situations. Data from a Dutch nation-wide research on math among adults (N = 521 were used to investigate the question whether math anxiety and perceived math competence mediated the relationship between math skills and use of math in everyday life, taken gender differences into account. Results showed that women reported higher math anxiety, lower perceived math competence, and lower use of math in everyday life, compared to men. Women's skills were estimated at a lower level than men's. For both women and men, higher skills were associated with higher perceived math competence, which in turn was associated with more use of math in everyday life. Only for women, math anxiety also mediated the relation between math skills and use of math in everyday life.

Math and Gender: Is Math a Route to a High-Powered Career?

DEFF Research Database (Denmark)

Joensen, Juanna Schrøter; Nielsen, Helena Skyt

There is a large gender gap in advanced math coursework in high school that many believe exists because girls are discouraged from taking math courses. In this paper, we exploit an institutional change that reduced the costs of acquiring advanced high school math to determine if access is, in fact......, the mechanism - in particular for girls at the top of the math ability distribution. By estimating marginal treatment effects of acquiring advanced math qualifications, we document substantial beneficial wage effects from encouraging even more females to opt for these qualifications. Our analysis suggests...... that the beneficial effect comes from accelerating graduation and attracting females to high-paid or traditionally male-dominated career tracks and to CEO positions. Our results may be reconciled with experimental and empirical evidence suggesting there is a pool of unexploited math talent among high ability girls...

Stable measures of number sense accuracy in math learning disability: Is it time to proceed from basic science to clinical application?

Science.gov (United States)

Júlio-Costa, Annelise; Starling-Alves, Isabella; Lopes-Silva, Júlia Beatriz; Wood, Guilherme; Haase, Vitor Geraldi

2015-12-01

Math learning disability (MLD) or developmental dyscalculia is a highly prevalent and persistent difficulty in learning arithmetic that may be explained by different cognitive mechanisms. The accuracy of the number sense has been implicated by some evidence as a core deficit in MLD. However, research on this topic has been mainly conducted in demographically selected samples, using arbitrary cut-off scores to characterize MLD. The clinical relevance of the association between number sense and MLD remains to be investigated. In this study, we aimed at assessing the stability of a number sense accuracy measure (w) across five experimental sessions, in two clinically defined cases of MLD. Stable measures of number sense accuracy estimate are required to clinically characterize subtypes of MLD and to make theoretical inferences regarding the underlying cognitive mechanisms. G. A. was a 10-year-old boy with MLD in the context of dyslexia and phonological processing impairment and his performance remained steadily in the typical scores range. The performance of H. V., a 9-year-old girl with MLD associated with number sense inaccuracy, remained consistently impaired across measurements, with a nonsignificant tendency to worsen. Qualitatively, H. V.'s performance was also characterized by greater variability across sessions. Concomitant clinical observations suggested that H. V.'s difficulties could be aggravated by developing symptoms of mathematics anxiety. Results in these two cases are in line with the hypotheses that at least two reliable patterns of cognitive impairment may underlie math learning difficulties in MLD, one related to number sense inaccuracy and the other to phonological processing impairment. Additionally, it indicates the need for more translational research in order to examine the usefulness and validity of theoretical advances in numerical cognition to the clinical neuropsychological practice with MLD. © 2015 The Institute of Psychology, Chinese

SKyTeach: Addressing the need for Science and Math Teachers in Kentucky

Science.gov (United States)

Bonham, Scott

2008-10-01

The shortage of good science and math teachers is a chronic problem that threatens to undermine the future of our profession and economy. While our world is becoming increasingly dependent on technology, many high schools do not even offer physics, in part due to of the unavailability of a qualified teacher. The entire state of Kentucky typically produces 0-2 new physics teachers per year, compared to 200+ elementary teachers per year from WKU alone. The picture is not much better in math and other sciences. SKyTeach is a new program at WKU to address this great need and is part of a national effort to replicate the successful UTeach program. The University of Texas UTeach program graduates 70-90 new math and science teachers a year, in the process providing them with a strong preparation based on current research on how people learn science and math, experience teaching in real classrooms from the start, and strong mentoring and support. UTeach graduates stay in the classroom at rates above the national average, and some fairly quickly move into leadership positions within their schools. A key element is good collaboration between the college of science, that of education, local P-12 schools, and others. Last year thirteen universities across the nation were selected as part of an effort to replicate the UTeach program nation-wide. This effort is supported by the National Science and Math Initiative in a partnership with the UTeach Institute. Our first cohort of students has started this fall, and we have had many successes and challenges as we move forward.

Principals in Partnership with Math Coaches

Science.gov (United States)

Grant, Catherine Miles; Davenport, Linda Ruiz

2009-01-01

One of the most promising developments in math education is the fact that many districts are hiring math coaches--also called math resource teachers, math facilitators, math lead teachers, or math specialists--to assist elementary-level teachers with math instruction. What must not be lost, however, is that principals play an essential role in…

Teachers Awareness of Students’ Anxiety in Math Classroom: Teachers’ Treatment VS Students’ Anxiety

Directory of Open Access Journals (Sweden)

Wanda Nugroho Yanuarto

2016-08-01

Full Text Available Math anxiety is a common phenomenon which can have a negative impact on numerical and arithmetic performance. However, so far little is known about the underlying neurocognitive mechanisms. This mini review provides an overview of studies investigating the neural correlates of math anxiety which provide several hints regarding its influence on math performance: while behavioral studies mostly observe an influence of math anxiety on difficult math tasks, neurophysiological studies show that processing efficiency is already affected in basic number processing. The purpose of this study is to provide some treatments to overcome students’ anxiety in math classroom at The University of Muhammadiyah Purwokerto, Indonesia especially in Math Department, but before it has attempted to investigate the factors that students’ anxiety can possibly stem from, both within the classroom environment and out of classroom in the wilder social context.

Counseling the Math Anxious

Science.gov (United States)

Tobias, Sheila; Donady, Bonnie

1977-01-01

Describes the rationale and mode of operations for a Math Clinic at Wellesley University and Wesleyan College where counselors and math specialists work together to combat "math anxiety," particularly in female students. (HMV)

Fostering Early Math Comprehension: Experimental Evidence from Paraguay

Science.gov (United States)

Naslund-Hadley, Emma; Parker, Susan W.; Hernandez-Agramonte, Juan Manuel

2014-01-01

Research indicates that preschool children need to learn pre-math skills to build a foundation for primary- and secondary-level mathematics. This paper presents the results from the early stages of a pilot mathematics program implemented in Cordillera, Paraguay. In a context of significant gaps in teacher preparation and pedagogy, the program uses…

On the number of eigenvalues of the discrete one-dimensional Dirac operator with a complex potential

Science.gov (United States)

Hulko, Artem

2018-03-01

In this paper we define a one-dimensional discrete Dirac operator on Z . We study the eigenvalues of the Dirac operator with a complex potential. We obtain bounds on the total number of eigenvalues in the case where V decays exponentially at infinity. We also estimate the number of eigenvalues for the discrete Schrödinger operator with complex potential on Z . That is we extend the result obtained by Hulko (Bull Math Sci, to appear) to the whole Z.

Approximate Arithmetic Training Improves Informal Math Performance in Low Achieving Preschoolers

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Emily Szkudlarek

2018-05-01

Full Text Available Recent studies suggest that practice with approximate and non-symbolic arithmetic problems improves the math performance of adults, school aged children, and preschoolers. However, the relative effectiveness of approximate arithmetic training compared to available educational games, and the type of math skills that approximate arithmetic targets are unknown. The present study was designed to (1 compare the effectiveness of approximate arithmetic training to two commercially available numeral and letter identification tablet applications and (2 to examine the specific type of math skills that benefit from approximate arithmetic training. Preschool children (n = 158 were pseudo-randomly assigned to one of three conditions: approximate arithmetic, letter identification, or numeral identification. All children were trained for 10 short sessions and given pre and post tests of informal and formal math, executive function, short term memory, vocabulary, alphabet knowledge, and number word knowledge. We found a significant interaction between initial math performance and training condition, such that children with low pretest math performance benefited from approximate arithmetic training, and children with high pretest math performance benefited from symbol identification training. This effect was restricted to informal, and not formal, math problems. There were also effects of gender, socio-economic status, and age on post-test informal math score after intervention. A median split on pretest math ability indicated that children in the low half of math scores in the approximate arithmetic training condition performed significantly better than children in the letter identification training condition on post-test informal math problems when controlling for pretest, age, gender, and socio-economic status. Our results support the conclusion that approximate arithmetic training may be especially effective for children with low math skills, and that

Approximate Arithmetic Training Improves Informal Math Performance in Low Achieving Preschoolers.

Science.gov (United States)

Szkudlarek, Emily; Brannon, Elizabeth M

2018-01-01

Recent studies suggest that practice with approximate and non-symbolic arithmetic problems improves the math performance of adults, school aged children, and preschoolers. However, the relative effectiveness of approximate arithmetic training compared to available educational games, and the type of math skills that approximate arithmetic targets are unknown. The present study was designed to (1) compare the effectiveness of approximate arithmetic training to two commercially available numeral and letter identification tablet applications and (2) to examine the specific type of math skills that benefit from approximate arithmetic training. Preschool children ( n = 158) were pseudo-randomly assigned to one of three conditions: approximate arithmetic, letter identification, or numeral identification. All children were trained for 10 short sessions and given pre and post tests of informal and formal math, executive function, short term memory, vocabulary, alphabet knowledge, and number word knowledge. We found a significant interaction between initial math performance and training condition, such that children with low pretest math performance benefited from approximate arithmetic training, and children with high pretest math performance benefited from symbol identification training. This effect was restricted to informal, and not formal, math problems. There were also effects of gender, socio-economic status, and age on post-test informal math score after intervention. A median split on pretest math ability indicated that children in the low half of math scores in the approximate arithmetic training condition performed significantly better than children in the letter identification training condition on post-test informal math problems when controlling for pretest, age, gender, and socio-economic status. Our results support the conclusion that approximate arithmetic training may be especially effective for children with low math skills, and that approximate arithmetic

GRE math tests

CERN Document Server

Kolby, Jeff

2014-01-01

Twenty-three GRE Math Tests! The GRE math section is not easy. There is no quick fix that will allow you to ""beat"" the section. But GRE math is very learnable. If you study hard and master the techniques in this book, your math score will improve--significantly! The GRE cannot be ""beaten."" But it can be mastered--through hard work, analytical thought, and by training yourself to think like a test writer. Many of the problems in this book are designed to prompt you to think like a test writer. For example, you will find ""Duals."" These are pairs of similar problems in which only one prop

Admission Math Level and Student Performance

DEFF Research Database (Denmark)

la Cour, Lisbeth

2015-01-01

In this paper we analyze the study performance data for three cohorts of students for the course in Economics at the Business Diploma (herafter HD) study program at Copenhagen Business School. Out main findings are 1) that students with the lowest level of math from high school are performing worse...

On the Leaky Math Pipeline: Comparing Implicit Math-Gender Stereotypes and Math Withdrawal in Female and Male Children and Adolescents

Science.gov (United States)

Steffens, Melanie C.; Jelenec, Petra; Noack, Peter

2010-01-01

Many models assume that habitual human behavior is guided by spontaneous, automatic, or implicit processes rather than by deliberate, rule-based, or explicit processes. Thus, math-ability self-concepts and math performance could be related to implicit math-gender stereotypes in addition to explicit stereotypes. Two studies assessed at what age…

Numbers for reducible cubic scrolls

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Israel Vainsencher

2004-12-01

Full Text Available We show how to compute the number of reducible cubic scrolls of codimension 2 in (math blackboard symbol Pn incident to the appropriate number of linear spaces.Mostramos como calcular o número de rolos cúbicos redutíveis de codimensão 2 em (math blackboard symbol Pn incidentes a espaços lineares apropriados.

Math anxiety in second and third graders and its relation to mathematics achievement.

Science.gov (United States)

Wu, Sarah S; Barth, Maria; Amin, Hitha; Malcarne, Vanessa; Menon, Vinod

2012-01-01

Although the detrimental effects of math anxiety in adults are well understood, few studies have examined how it affects younger children who are beginning to learn math in a formal academic setting. Here, we examine the relationship between math anxiety and math achievement in second and third graders. In response to the need for a grade-appropriate measure of assessing math anxiety in this group we first describe the development of Scale for Early Mathematics Anxiety (SEMA), a new measure for assessing math anxiety in second and third graders that is based on the Math Anxiety Rating Scale. We demonstrate the construct validity and reliability of the SEMA and use it to characterize the effect of math anxiety on standardized measures of math abilities, as assessed using the Mathematical Reasoning and Numerical Operations subtests of the Wechsler Individual Achievement Test (WIAT-II). Math achievement, as measured by the WIAT-II Math Composite score, was significantly and negatively correlated with SEMA but not with trait anxiety scores. Additional analyses showed that SEMA scores were strongly correlated with Mathematical Reasoning scores, which involves more complex verbal problem solving. SEMA scores were weakly correlated with Numerical Operations which assesses basic computation skills, suggesting that math anxiety has a pronounced effect on more demanding calculations. We also found that math anxiety has an equally detrimental impact on math achievement regardless of whether children have an anxiety related to numbers or to the situational and social experience of doing math. Critically, these effects were unrelated to trait anxiety, providing the first evidence that the specific effects of math anxiety can be detected in the earliest stages of formal math learning in school. Our findings provide new insights into the developmental origins of math anxiety, and further underscore the need to remediate math anxiety and its deleterious effects on math achievement

Language of Physics, Language of Math: Disciplinary Culture and Dynamic Epistemology

Science.gov (United States)

Redish, Edward F.; Kuo, Eric

2015-07-01

Mathematics is a critical part of much scientific research. Physics in particular weaves math extensively into its instruction beginning in high school. Despite much research on the learning of both physics and math, the problem of how to effectively include math in physics in a way that reaches most students remains unsolved. In this paper, we suggest that a fundamental issue has received insufficient exploration: the fact that in science, we don't just use math, we make meaning with it in a different way than mathematicians do. In this reflective essay, we explore math as a language and consider the language of math in physics through the lens of cognitive linguistics. We begin by offering a number of examples that show how the use of math in physics differs from the use of math as typically found in math classes. We then explore basic concepts in cognitive semantics to show how humans make meaning with language in general. The critical elements are the roles of embodied cognition and interpretation in context. Then, we show how a theoretical framework commonly used in physics education research, resources, is coherent with and extends the ideas of cognitive semantics by connecting embodiment to phenomenological primitives and contextual interpretation to the dynamics of meaning-making with conceptual resources, epistemological resources, and affect. We present these ideas with illustrative case studies of students working on physics problems with math and demonstrate the dynamical nature of student reasoning with math in physics. We conclude with some thoughts about the implications for instruction.

Reciprocal Relations among Motivational Frameworks, Math Anxiety, and Math Achievement in Early Elementary School

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Gunderson, Elizabeth A.; Park, Daeun; Maloney, Erin A.; Beilock, Sian L.; Levine, Susan C.

2018-01-01

School-entry math achievement is a strong predictor of math achievement through high school. We asked whether reciprocal relations among math achievement, math anxiety, and entity motivational frameworks (believing that ability is fixed and a focus on performance) can help explain these persistent individual differences. We assessed 1st and 2nd…

The relation between math self-concept, test and math anxiety, achievement motivation and math achievement in 12 to 14-year-old typically developing adolescents

NARCIS (Netherlands)

Timmerman, H.L.; Toll, S.W.M.; van Luit, J.E.H.

2017-01-01

:This study examines the relation between math self-concept, test and math anxiety, achievement motivation, and math achievement in typically developing 12 to 14-year-old adolescents (N = 108) from a school for secondary education in the Netherlands. Data was obtained using a math speed test,

DYNAMIC MATHEMATICS SOFTWARE: A QUANTITATIVE ANALYSIS IN THE CONTEXT OF THE PREPARATION OF MATH TEACHER

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Olena V. Semenikhina

2015-09-01

Full Text Available The results of the pedagogical experiment to clarify the number of dynamic mathematics software, which modern math teacher should know, are described.Quantitative results of the questionnaire survey of math teachers concerning the use of DMS in the learning process are given. Thus, the preferences of the teachers are software Gran and GeoGebra, the preferences of the students are software GeoGebra and MathKit. It is noted that math teachers in determining the number of DMS, which they should know and be able to use in the future, notice 3-5 DMS and students, future math teachers, notice 5-7 DMS. Statistical processing of the results was made based on the sign test. It allowed to justify the conclusion, that the study of 5 DMS is needed, at the significance level of 0.05.

Using an Intelligent Tutor and Math Fluency Training to Improve Math Performance

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Arroyo, Ivon; Royer, James M.; Woolf, Beverly P.

2011-01-01

This article integrates research in intelligent tutors with psychology studies of memory and math fluency (the speed to retrieve or calculate answers to basic math operations). It describes the impact of computer software designed to improve either strategic behavior or math fluency. Both competencies are key to improved performance and both…

Advanced Math: Closing the Equity Gap. Math Works

Science.gov (United States)

Achieve, Inc., 2013

2013-01-01

Minority and low-income students are less likely to have access to, enroll in and succeed in higher-level math courses in high school than their more advantaged peers. Under these circumstances, higher-level math courses function not as the intellectual and practical boost they should be, but as a filter that screens students out of the pathway to…

The Role of Parental Math Anxiety and Math Attitude in Their Children's Math Achievement

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Soni, Akanksha; Kumari, Santha

2017-01-01

The present study investigated the antecedents and consequences of children's math anxiety and math attitude. A total of 595 students aged 10 to 15 years (5th to 10th grades) and 1 parent of each (mother or father) participated in the study. The study was conducted in India, with the study sample drawn from schools in South-West Punjab. Math…

Math Safari.

Science.gov (United States)

Nelson, Vaunda; Stanko, Anne

1992-01-01

Describes Math Safari, a mathematical, scientific, geographic, informational adventure for fourth grade students. It integrates all curriculum areas and other skills by using information children must find in books to pose math problems about animals. It encourages cooperative learning, critical reading, analysis, and use of research skills. (SM)

Prospective Elementary Teachers' Conceptions of Unitizing with Whole Numbers and Fractions

Science.gov (United States)

Tobias, Jennifer M.; Roy, George J.; Safi, Farshid

2015-01-01

This article examines prospective elementary teachers' conceptions of unitizing with whole numbers and fraction concepts and operations throughout a semester-long mathematics content course. Student work samples and classroom conversations are used to illustrate the types of unitizing understandings that prospective teachers bring to teacher…

Attentional Bias in Math Anxiety

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Orly eRubinsten

2015-10-01

Full Text Available Cognitive theory from the field of general anxiety suggests that the tendency to display attentional bias toward negative information results in anxiety. Accordingly, the current study aims to investigate whether attentional bias is involved in math anxiety as well (i.e., a persistent negative reaction to math. Twenty seven participants (14 with high levels of math anxiety and 13 with low levels of math anxiety were presented with a novel computerized numerical version of the well established dot probe task. One of 6 types of prime stimuli, either math related or typically neutral, were presented on one side of a computer screen. The prime was preceded by a probe (either one or two asterisks that appeared in either the prime or the opposite location. Participants had to discriminate probe identity (one or two asterisks. Math anxious individuals reacted faster when the probe was at the location of the numerical related stimuli. This suggests the existence of attentional bias in math anxiety. That is, for math anxious individuals, the cognitive system selectively favored the processing of emotionally negative information (i.e., math related words. These findings suggest that attentional bias is linked to unduly intense math anxiety symptoms.

Math Performance as a Function of Math Anxiety and Arousal Performance Theory

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Farnsworth, Donald M., Jr.

2009-01-01

While research continues to link increased math anxiety with reduced working memory, the exact nature of the relationship remains elusive. In addition, research regarding the extent of the impact math anxiety has on working memory is contradictory. This research clarifies the directional nature of math anxiety as it pertains to working memory, and…

Enhanced learning of proportional math through music training and spatial-temporal training.

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Graziano, A B; Peterson, M; Shaw, G L

1999-03-01

It was predicted, based on a mathematical model of the cortex, that early music training would enhance spatial-temporal reasoning. We have demonstrated that preschool children given six months of piano keyboard lessons improved dramatically on spatial-temporal reasoning while children in appropriate control groups did not improve. It was then predicted that the enhanced spatial-temporal reasoning from piano keyboard training could lead to enhanced learning of specific math concepts, in particular proportional math, which is notoriously difficult to teach using the usual language-analytic methods. We report here the development of Spatial-Temporal Math Video Game software designed to teach fractions and proportional math, and its strikingly successful use in a study involving 237 second-grade children (age range six years eight months-eight years five months). Furthermore, as predicted, children given piano keyboard training along with the Math Video Game training scored significantly higher on proportional math and fractions than children given a control training along with the Math Video Game. These results were readily measured using the companion Math Video Game Evaluation Program. The training time necessary for children on the Math Video Game is very short, and they rapidly reach a high level of performance. This suggests that, as predicted, we are tapping into fundamental cortical processes of spatial-temporal reasoning. This spatial-temporal approach is easily generalized to teach other math and science concepts in a complementary manner to traditional language-analytic methods, and at a younger age. The neural mechanisms involved in thinking through fractions and proportional math during training with the Math Video Game might be investigated in EEG coherence studies along with priming by specific music.

Improving Student Achievement in Math and Science

Science.gov (United States)

Sullivan, Nancy G.; Hamsa, Irene Schulz; Heath, Panagiota; Perry, Robert; White, Stacy J.

1998-01-01

As the new millennium approaches, a long anticipated reckoning for the education system of the United States is forthcoming, Years of school reform initiatives have not yielded the anticipated results. A particularly perplexing problem involves the lack of significant improvement of student achievement in math and science. Three "Partnership" projects represent collaborative efforts between Xavier University (XU) of Louisiana, Southern University of New Orleans (SUNO), Mississippi Valley State University (MVSU), and the National Aeronautics and Space Administration (NASA), Stennis Space Center (SSC), to enhance student achievement in math and science. These "Partnerships" are focused on students and teachers in federally designated rural and urban empowerment zones and enterprise communities. The major goals of the "Partnerships" include: (1) The identification and dissemination of key indices of success that account for high performance in math and science; (2) The education of pre-service and in-service secondary teachers in knowledge, skills, and competencies that enhance the instruction of high school math and science; (3) The development of faculty to enhance the quality of math and science courses in institutions of higher education; and (4) The incorporation of technology-based instruction in institutions of higher education. These goals will be achieved by the accomplishment of the following objectives: (1) Delineate significant ?best practices? that are responsible for enhancing student outcomes in math and science; (2) Recruit and retain pre-service teachers with undergraduate degrees in Biology, Math, Chemistry, or Physics in a graduate program, culminating with a Master of Arts in Curriculum and Instruction; (3) Provide faculty workshops and opportunities for travel to professional meetings for dissemination of NASA resources information; (4) Implement methodologies and assessment procedures utilizing performance-based applications of higher order

Math Clock: Perangkat Penunjuk Waktu Kreatif untuk Olahraga Otak

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Galuh Boy Hertantyo

2014-11-01

Full Text Available Brain is one of the most vital parts for humans, with the number of brain function that is needed for the body, the brain becomes a very important part of the human body. If there is damage to the brain will certainly cause the performance of the human body will not run properly. Because of that, it’s very important to maintain brain health. There is a way to maintain brain health, for example is by doing brain exercise. Examples of brain exercise is to do simple math calculations or doing brain games like sudoku. Because of that, created a tool that can help the brain to maintain brain exercise. The tool is called math clock. Making math clock tool consists of hardware and software. The hardware consists of RTC as real time data input, ATmega328 as microcontroller and dot matrix 32x16 as a tool to display the output that has been processed by the microcontroller. The software is built using C with Arduino IDE. Math clock will process the data from RTC then processed it, in microcontroller so when output displayed on dot matrix, output will be simple mathematical operation with real time clock data on it. Test results show that, math clock is capable of displaying a simple mathematical calculation operations such as addition, subtraction, multiplication and division. The mathematical operation that display on math clock, appears to be random, so it’s not triggered by same mathematical operation. In math clock the display will change every 20 second, so in 1 minute there are 3 different kinds of mathematical operations. The results of questionnaires of 10 different students, showed 9 out of 10 students said math clock is a tool that easy to use as a clock. Math clock will be alternative for doing brain exercise every day.

Whole Grains and Food Fun in an After-School Program

Science.gov (United States)

Gilboy, Mary Beth

2009-01-01

Programs in community-based, after-school settings are ideal to teach children about healthy eating. Objectives: After completing this Whole Grains & Food Fun lesson, children will be able to: (1) list at least two benefits of eating more whole grains, (2) demonstrate skills involved in child-friendly, basic food preparation, and (3) choose a…

Math Stuff

CERN Document Server

Pappas, Theoni

2002-01-01

Whether it's stuff in your kitchen or garden, stuff that powers your car or your body, stuff that helps you work, communicate or play, or stuff that you've never heard of you can bet that mathematics is there. MATH STUFF brings it all in the open in the Pappas style. Not many people think of mathematics as fascinating, exciting and invaluable. Yet Pappas writes about math ideas in such a way that conveys its often overlooked fascination, excitement, and worth. MATH STUFF deals with 38 topics in an non-threatening way that piques our curiosities. Open the book at random, and learn about such to

Counting on Early Math Skills: Preliminary Kindergarten Impacts of the Making Pre-K Count and High 5s Programs

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Mattera, Shira; Morris, Pamela

2017-01-01

Early math ability is one of the best predictors of children's math and reading skills into late elementary school. Children with stronger math proficiency in elementary school, in turn, are more likely to graduate from high school and attend college. However, early math skills have not historically been a major focus of instruction in preschool…

Student School-Level Math Knowledge Influence on Applied Mathematics Study Courses

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Rima Kriauzienė

2013-08-01

Full Text Available Purpose—to find out the influence of student school-level math knowledge on courses of applied mathematics studies: what is the importance of having a math maturity exam for students, an estimate of social science students’ motivation to learn math, and attendance of seminars. Students who did take the state exam attended more seminars than the students who did not take math exam, and vice versa. Design/methodology/approach—this work describes research which involved persistent MRU Public Administration degree program second-year students. Doing statistical analysis of the data will be a link between school-level mathematics knowledge and attendance activity in seminars and motivation to learn mathematics. Findings—the research is expected to establish a connection between school-level mathematics knowledge and student motivation to learn mathematics. It was found that there is no correlation between student opinions about school mathematics courses and result of their first test. Determine relationship between attendance of exercises and public examinations. Between the stored type of exam and test results are dependent. Determine relationship between exercise attendance and test results, as shown by the calculated correlation coefficient Based on the results, it’s recommended to increase the number of exercises. A more refined analysis of the data is subject to further investigation. Research limitations/implications—this method is just one of the possible ways of application. Practical implications—that kind of research and its methodology can be applied not only to the subject of applied mathematics studies, but also to other natural or social sciences. Originality/Value—empirical experiment data can be used in other studies of Educology nature analysis.

Student School-Level Math Knowledge Influence on Applied Mathematics Study Courses

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Tadas Laukevičius

2011-12-01

Full Text Available Purpose—to find out the influence of student school-level math knowledge on courses of applied mathematics studies: what is the importance of having a math maturity exam for students, an estimate of social science students’ motivation to learn math, and attendance of seminars. Students who did take the state exam attended more seminars than the students who did not take math exam, and vice versa.Design/methodology/approach—this work describes research which involved persistent MRU Public Administration degree program second-year students. Doing statistical analysis of the data will be a link between school-level mathematics knowledge and attendance activity in seminars and motivation to learn mathematics.Findings—the research is expected to establish a connection between school-level mathematics knowledge and student motivation to learn mathematics.It was found that there is no correlation between student opinions about school mathematics courses and result of their first test.Determine relationship between attendance of exercises and public examinations.Between the stored type of exam and test results are dependent.Determine relationship between exercise attendance and test results, as shown by the calculated correlation coefficientBased on the results, it’s recommended to increase the number of exercises. A more refined analysis of the data is subject to further investigation.Research limitations/implications—this method is just one of the possible ways of application.Practical implications—that kind of research and its methodology can be applied not only to the subject of applied mathematics studies, but also to other natural or social sciences.Originality/Value—empirical experiment data can be used in other studies of Educology nature analysis.

A Randomized Trial of an Elementary School Mathematics Software Intervention: Spatial-Temporal Math

Science.gov (United States)

Rutherford, Teomara; Farkas, George; Duncan, Greg; Burchinal, Margaret; Kibrick, Melissa; Graham, Jeneen; Richland, Lindsey; Tran, Natalie; Schneider, Stephanie; Duran, Lauren; Martinez, Michael E.

2014-01-01

Fifty-two low performing schools were randomly assigned to receive Spatial-Temporal (ST) Math, a supplemental mathematics software and instructional program, in second/third or fourth/fifth grades or to a business-as-usual control. Analyses reveal a negligible effect of ST Math on mathematics scores, which did not differ significantly across…

Math anxiety in second and third graders and its relation to mathematics achievement

Directory of Open Access Journals (Sweden)

Sarah eWu

2012-06-01

Full Text Available Although the detrimental effects of math anxiety in adults are well understood, few studies have examined how it affects younger children who are beginning to learn math in a formal academic setting. Here, we examine the relationship between math anxiety and math achievement in 2nd and 3rd graders. In response to the need for a grade-appropriate measure of assessing math anxiety in this group we first describe the development of Scale for Early Mathematics Anxiety (SEMA, a new measure for assessing math anxiety in 2nd and 3rd graders that is based on the Math Anxiety Rating Scale. We demonstrate the construct validity and reliability of the SEMA and use it to characterize the effect of math anxiety on standardized measures of math abilities, as assessed using the Wechsler Individual Achievement Test (WIAT-II. Math achievement, as measured by the WIAT-II Math Composite score, was significantly and negatively correlated with SEMA but not with trait anxiety scores. Additional analyses showed that SEMA scores were significantly correlated with scores on the Math Reasoning subtest, which involves more complex verbal problem solving, but not with the Numerical Operations subtest which assesses basic computation skills. Our results suggest that math anxiety has a pronounced effect on more demanding calculations. Our results further suggest that math anxiety has an equally detrimental impact on math achievement regardless of whether children have an anxiety related to numbers or to the situational and social experience of doing math. Critically, these effects were unrelated to trait anxiety, providing the first evidence that the specific effects of math anxiety can be detected in the earliest stages of formal math learning in school. Our findings provide new insights into the developmental origins of math anxiety, and further underscore the need to remediate math anxiety and its deleterious effects on math achievement in young children.

The Effects of Math Anxiety

Science.gov (United States)

Andrews, Amanda; Brown, Jennifer

2015-01-01

Math anxiety is a reoccurring problem for many students, and the effects of this anxiety on college students are increasing. The purpose of this study was to examine the association between pre-enrollment math anxiety, standardized test scores, math placement scores, and academic success during freshman math coursework (i.e., pre-algebra, college…

Early Math Interest and the Development of Math Skills

Science.gov (United States)

Fisher, Paige H.; Dobbs-Oates, Jennifer; Doctoroff, Greta L.; Arnold, David H.

2012-01-01

Prior models suggest that math attitudes and ability might strengthen each other over time in a reciprocal fashion (Ma, 1997). The current study investigated the relationship between math interest and skill both concurrently and over time in a preschool sample. Analyses of concurrent relationships indicated that high levels of interest were…

Math

CERN Document Server

Robertson, William C

2006-01-01

Flummoxed by formulas? Queasy about equations? Perturbed by pi? Now you can stop cursing over calculus and start cackling over Math, the newest volume in Bill Robertson's accurate but amusing Stop Faking It! best sellers. As Robertson sees it, too many people view mathematics as a set of rules to be followed, procedures to memorize, and theorems to apply. This book focuses on the reasoning behind the rules, from math basics all the way up to a brief introduction to calculus.

Using a Non-Equivalent Groups Quasi Experimental Design to Reduce Internal Validity Threats to Claims Made by Math and Science K-12 Teacher Recruitment Programs

Science.gov (United States)

Moin, Laura

2009-10-01

The American Recovery and Reinvestment Act national policy established in 2009 calls for ``meaningful data'' that demonstrate educational improvements, including the recruitment of high-quality teachers. The scant data available and the low credibility of many K-12 math/science teacher recruitment program evaluations remain the major barriers for the identification of effective recruitment strategies. Our study presents a methodology to better evaluate the impact of recruitment programs on increasing participants' interest in teaching careers. The research capitalizes on the use of several control groups and presents a non-equivalent groups quasi-experimental evaluation design that produces program effect claims with higher internal validity than claims generated by current program evaluations. With this method that compares responses to a teaching career interest question from undergraduates all along a continuum from just attending an information session to participating (or not) in the recruitment program, we were able to compare the effect of the program in increasing participants' interest in teaching careers versus the evolution of the same interest but in the absence of the program. We were also able to make suggestions for program improvement and further research. While our findings may not apply to other K-12 math/science teacher recruitment programs, we believe that our evaluation methodology does and will contribute to conduct stronger program evaluations. In so doing, our evaluation procedure may inform recruitment program designers and policy makers.

Understand electrical and electronics maths

CERN Document Server

Bishop, Owen

1993-01-01

Understand Electrical and Electronics Maths covers elementary maths and the aspects of electronics. The book discusses basic maths including quotients, algebraic fractions, logarithms, types of equations and balancing of equations. The text also describes the main features and functions of graphs and the solutions to simpler types of electronics problems. The book then tackles the applications of polar coordinates in electronics, limits, differentiation and integration, and the applications of maths of rates of change in electronics. The activities of an electronic circuit; techniques of math

Effect of a supportive-educative program in the math class for stress, anxiety, and depression in female students in the third level of junior high school: An action research.

Science.gov (United States)

Emamjomeh, Seyedeh Mahtab; Bahrami, Masoud

2015-01-01

Students in junior high school, particularly in the third level, are prone to a variety of stressors. This in turn might lead to stress, anxiety, depression, and other health-related problems. There are a very limited number of action research studies to identify the effect of stress management techniques among students. Therefore, a study was conducted to assess the effect of a program used in the math class to decrease the student's level of stress, anxiety, and depression. This was an action research study, which was conducted in region three of the Education and Training Office of Isfahan, in the year 2012. Fifty-one students in a junior high school were selected and underwent a comprehensive stress management program. This program was prepared in collaboration with the students, their parents, teachers, and managers of the school, and was implemented approximately during a four-month period. The student's stress, anxiety, and depression were measured before and after the program using the DASS-21 questionnaire. The t-test identified that the mean scores of stress, anxiety, and depression after the intervention were significantly lower than the corresponding scores before the program. One-way analysis of variance (ANOVA) also showed that the students from the veterans (Janbaz) families had higher levels of stress compared to their classmates, who belonged to the non-veteran families (PEducation and implementation of stress management techniques including cognitive and behavioral interventions along with active and collaborative methods of learning in the math class might be useful both inside and outside the class, for better management of stress and other health-related problems of students.

Flight Software Math Library

Science.gov (United States)

McComas, David

2013-01-01

The flight software (FSW) math library is a collection of reusable math components that provides typical math utilities required by spacecraft flight software. These utilities are intended to increase flight software quality reusability and maintainability by providing a set of consistent, well-documented, and tested math utilities. This library only has dependencies on ANSI C, so it is easily ported. Prior to this library, each mission typically created its own math utilities using ideas/code from previous missions. Part of the reason for this is that math libraries can be written with different strategies in areas like error handling, parameters orders, naming conventions, etc. Changing the utilities for each mission introduces risks and costs. The obvious risks and costs are that the utilities must be coded and revalidated. The hidden risks and costs arise in miscommunication between engineers. These utilities must be understood by both the flight software engineers and other subsystem engineers (primarily guidance navigation and control). The FSW math library is part of a larger goal to produce a library of reusable Guidance Navigation and Control (GN&C) FSW components. A GN&C FSW library cannot be created unless a standardized math basis is created. This library solves the standardization problem by defining a common feature set and establishing policies for the library s design. This allows the libraries to be maintained with the same strategy used in its initial development, which supports a library of reusable GN&C FSW components. The FSW math library is written for an embedded software environment in C. This places restrictions on the language features that can be used by the library. Another advantage of the FSW math library is that it can be used in the FSW as well as other environments like the GN&C analyst s simulators. This helps communication between the teams because they can use the same utilities with the same feature set and syntax.

Short-cut math

CERN Document Server

Kelly, Gerard W

1984-01-01

Clear, concise compendium of about 150 time-saving math short-cuts features faster, easier ways to add, subtract, multiply, and divide. Each problem includes an explanation of the method. No special math ability needed.

Now Enhancing Working Skills: The ``NEWS`` Program. Final report

Energy Technology Data Exchange (ETDEWEB)

Kuiper, A. [Merex Corp. (United States)

1995-01-23

In October of 1992, Los Alamos National Laboratory and Merex Corporation began a pilot basic skills program to enhance workers` skills. The program, known as the NEWS (Now Enhancing Working Skills) Program, was implemented by the Training and Development Group of the Human Resources Division. A group of 106 employees known as Radiological Control Technicians (RCTs) from ESH-1 (Environmental, Safety, and Health) were targeted to take mandated DOE (Department of Energy) training. The main goal of the LANL/Merex partnership was to help RCTs prepare for mandated DOE Rad Con training and job performance by improving their information processing and math skills. A second goal of this project was to use the information from this small group to make some predictions about the Laboratory as a whole. This final report contains the description and an appendix for the ``NEWS`` program. The topics in this report include Merex class descriptions, test score results for the MAT, the WAT, the TABE, and Challenge test, a follow-up survey to Merex IPS and math training, student feedback statistics for skills programs, and lessons learned from the program.

Math Snacks: Using Animations and Games to Fill the Gaps in Mathematics

Science.gov (United States)

Valdiz, Alfred; Trujillo, Karen; Wiburg, Karin

2013-01-01

Math Snacks animations and support materials were developed for use on the web and mobile technologies to teach ratio, proportion, scale factor, and number line concepts using a multi-modal approach. Included in Math Snacks are: Animations which promote the visualization of a concept image; written lessons which provide cognitive complexity for…

Solving America's Math Problem

Science.gov (United States)

Vigdor, Jacob

2013-01-01

Concern about students' math achievement is nothing new, and debates about the mathematical training of the nation's youth date back a century or more. In the early 20th century, American high-school students were starkly divided, with rigorous math courses restricted to a college-bound elite. At midcentury, the "new math" movement sought,…

Nurses' maths: researching a practical approach.

Science.gov (United States)

Wilson, Ann

To compare a new practical maths test with a written maths test. The tests were undertaken by qualified nurses training for intravenous drug administration, a skill dependent on maths accuracy. The literature showed that the higher education institutes (HEIs) that provide nurse training use traditional maths tests, a practical way of testing maths had not been described. Fifty five nurses undertook two maths tests based on intravenous drug calculations. One was a traditional written test. The second was a new type of test using a simulated clinical environment. All participants were also interviewed one week later to ascertain their thoughts and feelings about the tests. There was a significant improvement in maths test scores for those nurses who took the practical maths test first. It is suggested that this is because it improved their conceptualisation skills and thus helped them to achieve accuracy in their calculations. Written maths tests are not the best way to help and support nurses in acquiring and improving their maths skills and should be replaced by a more practical approach.

Asymptotics of quantum weighted Hurwitz numbers

Science.gov (United States)

Harnad, J.; Ortmann, Janosch

2018-06-01

This work concerns both the semiclassical and zero temperature asymptotics of quantum weighted double Hurwitz numbers. The partition function for quantum weighted double Hurwitz numbers can be interpreted in terms of the energy distribution of a quantum Bose gas with vanishing fugacity. We compute the leading semiclassical term of the partition function for three versions of the quantum weighted Hurwitz numbers, as well as lower order semiclassical corrections. The classical limit is shown to reproduce the simple single and double Hurwitz numbers studied by Okounkov and Pandharipande (2000 Math. Res. Lett. 7 447–53, 2000 Lett. Math. Phys. 53 59–74). The KP-Toda τ-function that serves as generating function for the quantum Hurwitz numbers is shown to have the τ-function of Okounkov and Pandharipande (2000 Math. Res. Lett. 7 447–53, 2000 Lett. Math. Phys. 53 59–74) as its leading term in the classical limit, and, with suitable scaling, the same holds for the partition function, the weights and expectations of Hurwitz numbers. We also compute the zero temperature limit of the partition function and quantum weighted Hurwitz numbers. The KP or Toda τ-function serving as generating function for the quantum Hurwitz numbers are shown to give the one for Belyi curves in the zero temperature limit and, with suitable scaling, the same holds true for the partition function, the weights and the expectations of Hurwitz numbers.

Analyzing the Gender Gap in Math Achievement: Evidence from a Large-Scale US Sample

Science.gov (United States)

Cheema, Jehanzeb R.; Galluzzo, Gary

2013-01-01

The US portion of the Program for International Student Assessment (PISA) 2003 student questionnaire comprising of 4,733 observations was used in a multiple regression framework to predict math achievement from demographic variables, such as gender, race, and socioeconomic status, and two student-specific measures of perception, math anxiety and…

Building Maintenance. Math Learning Activity Packet.

Science.gov (United States)

Grant, Shelia I.

This collection of learning activities is intended for use in reinforcing mathematics instruction as it relates to building maintenance. Fifty activity sheets are provided. These are organized into units on the following topics: numeration, adding whole numbers, subtracting whole numbers, multiplying whole numbers, dividing whole numbers,…

Tic Tac Toe Math. Train the Trainer.

Science.gov (United States)

Center for Alternative Learning, Bryn Mawr, PA.

This report describes a project that developed a "Train the Trainer" program that would enable individuals to learn and teach the alternative instructional technique, Tic Tac Toe Math, developed by Richard Cooper for adult basic education students. The pilot workshop conducted as part of the project identified problems that traditional…

On the relationship between math anxiety and math achievement in early elementary school: The role of problem solving strategies.

Science.gov (United States)

Ramirez, Gerardo; Chang, Hyesang; Maloney, Erin A; Levine, Susan C; Beilock, Sian L

2016-01-01

Even at young ages, children self-report experiencing math anxiety, which negatively relates to their math achievement. Leveraging a large dataset of first and second grade students' math achievement scores, math problem solving strategies, and math attitudes, we explored the possibility that children's math anxiety (i.e., a fear or apprehension about math) negatively relates to their use of more advanced problem solving strategies, which in turn relates to their math achievement. Our results confirm our hypothesis and, moreover, demonstrate that the relation between math anxiety and math problem solving strategies is strongest in children with the highest working memory capacity. Ironically, children who have the highest cognitive capacity avoid using advanced problem solving strategies when they are high in math anxiety and, as a result, underperform in math compared with their lower working memory peers. Copyright © 2015 Elsevier Inc. All rights reserved.

Is math anxiety in the secondary classroom limiting physics mastery? A study of math anxiety and physics performance

Science.gov (United States)

Mercer, Gary J.

This quantitative study examined the relationship between secondary students with math anxiety and physics performance in an inquiry-based constructivist classroom. The Revised Math Anxiety Rating Scale was used to evaluate math anxiety levels. The results were then compared to the performance on a physics standardized final examination. A simple correlation was performed, followed by a multivariate regression analysis to examine effects based on gender and prior math background. The correlation showed statistical significance between math anxiety and physics performance. The regression analysis showed statistical significance for math anxiety, physics performance, and prior math background, but did not show statistical significance for math anxiety, physics performance, and gender.

Three brief assessments of math achievement.

Science.gov (United States)

Steiner, Eric T; Ashcraft, Mark H

2012-12-01

Because of wide disparities in college students' math knowledge-that is, their math achievement-studies of cognitive processing in math tasks also need to assess their individual level of math achievement. For many research settings, however, using existing math achievement tests is either too costly or too time consuming. To solve this dilemma, we present three brief tests of math achievement here, two drawn from the Wide Range Achievement Test and one composed of noncopyrighted items. All three correlated substantially with the full achievement test and with math anxiety, our original focus, and all show acceptable to excellent reliability. When lengthy testing is not feasible, one of these brief tests can be substituted.

Math Anxiety and Math Ability in Early Primary School Years

Science.gov (United States)

Krinzinger, Helga; Kaufmann, Liane; Willmes, Klaus

2009-01-01

Mathematical learning disabilities (MLDs) are often associated with math anxiety, yet until now, very little is known about the causal relations between calculation ability and math anxiety during early primary school years. The main aim of this study was to longitudinally investigate the relationship between calculation ability, self-reported…

Math on a sphere: Making use of public displays in mathematics and programming education

Directory of Open Access Journals (Sweden)

Michael Eisenberg

2014-06-01

Full Text Available Science on a Sphere (SoS is a compelling educational display installed at numerous museums and planetariums around the world; essentially the SoS display is a large spherical surface on which multicolor high-resolution depictions of (e.g. planetary weather maps may be depicted. Fascinating as the SoS display is, however, it is in practice restricted to the use of museum professionals; students (and for that matter, older museum visitors are unable to create their own displays for the surface. This paper describes a working software system, Math on a Sphere (MoS, that democratizes the SoS display by providing a simple programming interface to the public, over the World Wide Web. Briefly, our system allows anyone to write programs for spherical graphics patterns, and then to upload those programs at a planetarium or museum site and see the result on the giant sphere. This paper describes the implementation of the MoS system; sketches a sample project; and concludes with a more wide-ranging discussion of our user testing to date, as well as strategies for empowering children and students with greater control of public displays.

Development of a Math Input Interface with Flick Operation for Mobile Devices

Science.gov (United States)

Nakamura, Yasuyuki; Nakahara, Takahiro

2016-01-01

Developing online test environments for e-learning for mobile devices will be useful to increase drill practice opportunities. In order to provide a drill practice environment for calculus using an online math test system, such as STACK, we develop a flickable math input interface that can be easily used on mobile devices. The number of taps…

Dr Math at your service

CSIR Research Space (South Africa)

Butgereit, L

2012-10-01

Full Text Available In this presentation the author explains how the Dr Math service works; how tutors are recruited to act as Dr Math; and how school pupils can reach Dr Math for help with their mathematics homework....

GRE math workbook

CERN Document Server

Madore, Blair

2015-01-01

Reflective of the current GRE, this third edition includes a description of the General Math Exam explaining structure, questions types, and scoring, strategies for problem solving, two full-length math sample sections structured to reflect the actual exam, answers thoroughly explained, and more.

Golden Sine Algorithm: A Novel Math-Inspired Algorithm

Directory of Open Access Journals (Sweden)

TANYILDIZI, E.

2017-05-01

Full Text Available In this study, Golden Sine Algorithm (Gold-SA is presented as a new metaheuristic method for solving optimization problems. Gold-SA has been developed as a new search algorithm based on population. This math-based algorithm is inspired by sine that is a trigonometric function. In the algorithm, random individuals are created as many as the number of search agents with uniform distribution for each dimension. The Gold-SA operator searches to achieve a better solution in each iteration by trying to bring the current situation closer to the target value. The solution space is narrowed by the golden section so that the areas that are supposed to give only good results are scanned instead of the whole solution space scan. In the tests performed, it is seen that Gold-SA has better results than other population based methods. In addition, Gold-SA has fewer algorithm-dependent parameters and operators than other metaheuristic methods, increasing the importance of this method by providing faster convergence of this new method.

Mathematics Intervention Utilizing Carnegie Learning's Cognitive Tutor® and Compass Learning's Odyssey Math®

Science.gov (United States)

Barton, James M.

2016-01-01

Carnegie Learning's Cognitive Tutor®The purpose of this study is to determine whether there is a statistically significant difference between pre-test and post-test achievement scores when Compass Learning's Odyssey Math® is used together with Carnegie Learning's Math Cognitive Tutor® in a mathematics intervention program at ABC Middle School. The…

Experience with a mobile whole body counting screening program at Ontario Hydro

International Nuclear Information System (INIS)

Wong, K.Y.

1976-01-01

A whole-body counting program using a trailer-mounted counter has been in service in Ontario Hydro since 1972 to monitor routinely internal uptakes of radionuclides by nuclear station employees. The philosophy and objectives of the program are discussed; equipment and calibration procedures are described, and experience over the past two and a half years is reviewed. The procedures to minimize the effects of external contamination, a problem commonly encountered in whole-body counting, are described. (auth)

What Works for Parents: How Parents Support Their Children with Math Homework in Rural Ghana

Directory of Open Access Journals (Sweden)

Vivian Tackie-Ofosu

2016-02-01

Full Text Available Family and Consumer Sciences (FCS programs target families in deprived rural and urban communities with the objective of equipping them with skills to improve family well-being, education, and relationships. In recent years, the focus of FCS in Ghana has been on parental styles and education that foster parents’ involvement in their children's school work. Using a child-parent interactive model, a series of math activities were delivered to children between the ages of 6 and 10 years. Group activities were also facilitated by the FCS staff. Parents used local materials, such as small empty cans, bottles, leaves, stones, sticks, old newspapers, and sand, to explain math concepts. Staff, parents, and children used fun activities and role plays to demonstrate developmental processes that enhance effective child development. The lessons identified were tied to the understanding of appropriate parenting styles that foster acquisition of skills for basic math concepts. At the end of the 12-week program, parents reported increased interest and confidence in math and were more proactive in supervising their children to complete their homework. The importance of the model lies in its simplicity in conveying fundamental knowledge that relates to the interwoven aspect of developmental domains to ensure children experience maximal success with math-related activities. The model also promotes acquisition of basic math skills in a naturalistic setting.

Mathematics anxiety: separating the math from the anxiety.

Science.gov (United States)

Lyons, Ian M; Beilock, Sian L

2012-09-01

Anxiety about math is tied to low math grades and standardized test scores, yet not all math-anxious individuals perform equally poorly in math. We used functional magnetic resonance imaging to separate neural activity during the anticipation of doing math from activity during math performance itself. For higher (but not lower) math-anxious individuals, increased activity in frontoparietal regions when simply anticipating doing math mitigated math-specific performance deficits. This network included bilateral inferior frontal junction, a region involved in cognitive control and reappraisal of negative emotional responses. Furthermore, the relation between frontoparietal anticipatory activity and highly math-anxious individuals' math deficits was fully mediated (or accounted for) by activity in caudate, nucleus accumbens, and hippocampus during math performance. These subcortical regions are important for coordinating task demands and motivational factors during skill execution. Individual differences in how math-anxious individuals recruit cognitive control resources prior to doing math and motivational resources during math performance predict the extent of their math deficits. This work suggests that educational interventions emphasizing control of negative emotional responses to math stimuli (rather than merely additional math training) will be most effective in revealing a population of mathematically competent individuals, who might otherwise go undiscovered.

Changes in Math Prerequisites and Student Performance in Business Statistics: Do Math Prerequisites Really Matter?

OpenAIRE

Jeffrey J. Green; Courtenay C. Stone; Abera Zegeye; Thomas A. Charles

2007-01-01

We use a binary probit model to assess the impact of several changes in math prerequisites on student performance in an undergraduate business statistics course. While the initial prerequisites did not necessarily provide students with the necessary math skills, our study, the first to examine the effect of math prerequisite changes, shows that these changes were deleterious to student performance. Our results helped convince the College of Business to change the math prerequisite again begin...

Math practice and its influence on math skills and executive functions in adolescents with mild to borderline intellectual disability.

Science.gov (United States)

Jansen, Brenda R J; De Lange, Eva; Van der Molen, Mariët J

2013-05-01

Adolescents with mild to borderline intellectual disability (MBID) often complete schooling without mastering basic math skills, even though basic math is essential for math-related challenges in everyday life. Limited attention to cognitive skills and low executive functioning (EF) may cause this delay. We aimed to improve math skills in an MBID-sample using computerized math training. Also, it was investigated whether EF and math performance were related and whether computerized math training had beneficial effects on EF. The sample consisted of a total of 58 adolescents (12-15 years) from special education. Participants were randomly assigned to either the experimental group or a treatment as usual (TAU) group. In the experimental condition, participants received 5 weeks of training. Math performance and EF were assessed before and after the training period. Math performance improved equally in both groups. However, frequently practicing participants improved more than participants in the control group. Visuo-spatial memory skills were positively related to addition and subtraction skills. Transfer effects from math training to EF were absent. It is concluded that math skills may increase if a reasonable effort in practicing math skills is made. The relation between visuo-spatial memory skills provides opportunities for improving math performance. Copyright © 2013 Elsevier Ltd. All rights reserved.

Cultivating Common Ground: Integrating Standards-Based Visual Arts, Math and Literacy in High-Poverty Urban Classrooms

Science.gov (United States)

Cunnington, Marisol; Kantrowitz, Andrea; Harnett, Susanne; Hill-Ries, Aline

2014-01-01

The "Framing Student Success: Connecting Rigorous Visual Arts, Math and Literacy Learning" experimental demonstration project was designed to develop and test an instructional program integrating high-quality, standards-based instruction in the visual arts, math, and literacy. Developed and implemented by arts-in-education organization…

Spatial but not temporal numerosity thresholds correlate with formal math skills in children.

Science.gov (United States)

Anobile, Giovanni; Arrighi, Roberto; Castaldi, Elisa; Grassi, Eleonora; Pedonese, Lara; Moscoso, Paula A M; Burr, David C

2018-03-01

Humans and other animals are able to make rough estimations of quantities using what has been termed the approximate number system (ANS). Much evidence suggests that sensitivity to numerosity correlates with symbolic math capacity, leading to the suggestion that the ANS may serve as a start-up tool to develop symbolic math. Many experiments have demonstrated that numerosity perception transcends the sensory modality of stimuli and their presentation format (sequential or simultaneous), but it remains an open question whether the relationship between numerosity and math generalizes over stimulus format and modality. Here we measured precision for estimating the numerosity of clouds of dots and sequences of flashes or clicks, as well as for paired comparisons of the numerosity of clouds of dots. Our results show that in children, formal math abilities correlate positively with sensitivity for estimation and paired-comparisons of the numerosity of visual arrays of dots. However, precision of numerosity estimation for sequences of flashes or sounds did not correlate with math, although sensitivities in all estimations tasks (for sequential or simultaneous stimuli) were strongly correlated with each other. In adults, we found no significant correlations between math scores and sensitivity to any of the psychophysical tasks. Taken together these results support the existence of a generalized number sense, and go on to demonstrate an intrinsic link between mathematics and perception of spatial, but not temporal numerosity. (PsycINFO Database Record (c) 2018 APA, all rights reserved).

34 CFR 645.13 - What additional services do Upward Bound Math and Science Centers provide and how are they...

Science.gov (United States)

2010-07-01

... 34 Education 3 2010-07-01 2010-07-01 false What additional services do Upward Bound Math and... Program? § 645.13 What additional services do Upward Bound Math and Science Centers provide and how are... provided under § 645.11(b), an Upward Bound Math and Science Center must provide— (1) Intensive instruction...

Effects of Math Anxiety and Perfectionism on Timed versus Untimed Math Testing in Mathematically Gifted Sixth Graders

Science.gov (United States)

Tsui, Joanne M.; Mazzocco, Michèle M. M.

2009-01-01

This study was designed to examine the effects of math anxiety and perfectionism on math performance, under timed testing conditions, among mathematically gifted sixth graders. We found that participants had worse math performance during timed versus untimed testing, but this difference was statistically significant only when the timed condition preceded the untimed condition. We also found that children with higher levels of either math anxiety or perfectionism had a smaller performance discrepancy during timed versus untimed testing, relative to children with lower levels of math anxiety or perfectionism. There were no statistically significant gender differences in overall test performance, nor in levels of math anxiety or perfectionism; however, the difference between performance on timed and untimed math testing was statistically significant for girls, but not for boys. Implications for educators are discussed. PMID:20084180

Affective and motivational factors mediate the relation between math skills and use of math in everyday life

NARCIS (Netherlands)

Jansen, B.R.J.; Schmitz, E.A.; van der Maas, H.L.J.

2016-01-01

This study focused on the use of math in everyday life (the propensity to recognize and solve quantitative issues in real life situations). Data from a Dutch nation-wide research on math among adults (N = 521) were used to investigate the question whether math anxiety and perceived math competence

Addressing Math Anxiety in the Classroom

Science.gov (United States)

Finlayson, Maureen

2014-01-01

In today's educational systems, students of all levels of education experience math anxiety. Furthermore, math anxiety is frequently linked to poor achievement in mathematics. The purpose of this study is to examine the causes of math anxiety and to explore strategies which pre-service teachers have identified to overcome math anxiety. The…

Conversions Rock! Lessons & Worksheets to Build Skills in Equivalent Conversions. Poster/Teaching Guide. Expect the Unexpected with Math[R

Science.gov (United States)

Actuarial Foundation, 2013

2013-01-01

"Welcome to Conversions Rock" is a new math program designed to build and reinforce the important skills of converting fractions, decimals, and percents for students in grades 6-8. Developed by The Actuarial Foundation, this program seeks to provide skill-building, real-world math to help students become successful in the classroom and beyond. [A…

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

Directory of Open Access Journals (Sweden)

Meixia Zhu

2017-09-01

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

MATH77 - A LIBRARY OF MATHEMATICAL SUBPROGRAMS FOR FORTRAN 77, RELEASE 4.0

Science.gov (United States)

Lawson, C. L.

1994-01-01

MATH77 is a high quality library of ANSI FORTRAN 77 subprograms implementing contemporary algorithms for the basic computational processes of science and engineering. The portability of MATH77 meets the needs of present-day scientists and engineers who typically use a variety of computing environments. Release 4.0 of MATH77 contains 454 user-callable and 136 lower-level subprograms. Usage of the user-callable subprograms is described in 69 sections of the 416 page users' manual. The topics covered by MATH77 are indicated by the following list of chapter titles in the users' manual: Mathematical Functions, Pseudo-random Number Generation, Linear Systems of Equations and Linear Least Squares, Matrix Eigenvalues and Eigenvectors, Matrix Vector Utilities, Nonlinear Equation Solving, Curve Fitting, Table Look-Up and Interpolation, Definite Integrals (Quadrature), Ordinary Differential Equations, Minimization, Polynomial Rootfinding, Finite Fourier Transforms, Special Arithmetic , Sorting, Library Utilities, Character-based Graphics, and Statistics. Besides subprograms that are adaptations of public domain software, MATH77 contains a number of unique packages developed by the authors of MATH77. Instances of the latter type include (1) adaptive quadrature, allowing for exceptional generality in multidimensional cases, (2) the ordinary differential equations solver used in spacecraft trajectory computation for JPL missions, (3) univariate and multivariate table look-up and interpolation, allowing for "ragged" tables, and providing error estimates, and (4) univariate and multivariate derivative-propagation arithmetic. MATH77 release 4.0 is a subroutine library which has been carefully designed to be usable on any computer system that supports the full ANSI standard FORTRAN 77 language. It has been successfully implemented on a CRAY Y/MP computer running UNICOS, a UNISYS 1100 computer running EXEC 8, a DEC VAX series computer running VMS, a Sun4 series computer running Sun

Turning Negatives into Positives: The Role of an Instructional Math Course on Preservice Teachers' Math Beliefs

Science.gov (United States)

Looney, Lisa; Perry, David; Steck, Andy

2017-01-01

Teachers' beliefs about mathematics can play a role in their teaching effectiveness (Bandura, 1993). Negative attitudes toward math (e.g., math anxiety) or low self-efficacy beliefs for teaching math can act as barriers to the teaching process, impacting the achievement and math beliefs of students (Beilock, Gunderson, Ramirez, & Levine, 2010;…

Helping Students Get Past Math Anxiety

Science.gov (United States)

Scarpello, Gary

2007-01-01

Math anxiety can begin as early as the fourth grade and peaks in middle school and high school. It can be caused by past classroom experiences, parental influences, and remembering poor past math performance. Math anxiety can cause students to avoid challenging math courses and may limit their career choices. It is important for teachers, parents…

Group Activities for Math Enthusiasts

Science.gov (United States)

Holdener, J.; Milnikel, R.

2016-01-01

In this article we present three group activities designed for math students: a balloon-twisting workshop, a group proof of the irrationality of p, and a game of Math Bingo. These activities have been particularly successful in building enthusiasm for mathematics and camaraderie among math faculty and students at Kenyon College.

The Impact of MOVE IT Math(TM) and Traditional Textbook Instruction on Math Achievement Scores

Science.gov (United States)

Bennett, Angela Stephens

2010-01-01

One recommendation of government, education, and business leaders is an increased emphasis on math and science instruction in public schools. The purpose of this quantitative study using a posttest, quasi-experimental design was to determine if the Math Opportunities, Valuable Experiences, and Innovative Teaching (MOVE IT Math(TM)) program…

STAR: Preparing future science and math teachers through authentic research experiences at national laboratories

Science.gov (United States)

Keller, John; Rebar, Bryan

2012-11-01

The STEM Teacher and Researcher (STAR) Program provides 9-week paid summer research experiences at national research laboratories for future science and math teachers. The program, run by the Cal Poly Center for Excellence in Science and Mathematics Education (CESaME) on behalf of the entire California State University (CSU) System, has arranged 290 research internships for 230 STEM undergraduates and credential candidates from 43 campuses over the past 6 years. The program has partnered with seven Department of Energy labs, four NASA centers, three NOAA facilities, and the National Optical Astronomy Observatory (NOAO). Primary components of the summer experience include a) conducting research with a mentor or mentor team, b) participating in weekly 2-3 hour workshops focused on translating lessons learned from summer research into classroom practice, and c) presenting a research poster or oral presentation and providing a lesson plan linked to the summer research experience. The central premise behind the STAR Program is that future science and math teachers can more effectively prepare the next generation of science, math, and engineering students if they themselves have authentic experiences as researchers.

All Students Need Advanced Mathematics. Math Works

Science.gov (United States)

Achieve, Inc., 2013

2013-01-01

This fact sheet explains that to thrive in today's world, all students will need to graduate with very strong math skills. That can only mean one thing: advanced math courses are now essential math courses. Highlights of this paper include: (1) Advanced math equals college success; (2) Advanced math equals career opportunity; and (3) Advanced math…

Developing Deaf Students Fraction Skills Requires Understanding Magnitude and Whole Number Division

Science.gov (United States)

Mousley, Keith; Kelly, Ronald R.

2018-01-01

Research has shown that fraction magnitude and whole number division are important precursors to learning and understanding fractions. Deaf and hard-of-hearing (DHH) students are consistently challenged with learning fractions from K-12 through college. Sixty DHH college students were tested for both their understanding of magnitude between two…

Building Kindergartners' Number Sense: A Randomized Controlled Study.

Science.gov (United States)

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

2012-08-01

Math achievement in elementary school is mediated by performance and growth in number sense during kindergarten. The aim of the present study was to test the effectiveness of a targeted small group number sense intervention for high-risk kindergartners from low-income communities. Children were randomly assigned to one of three groups ( n = 44 in each group): a number sense intervention group, a language intervention group, or a business as usual control group. Accounting for initial skill level in mathematical knowledge, children who received the number sense intervention performed better than controls at immediate post test, with meaningful effects on measures of number competencies and general math achievement. Many of the effects held eight weeks after the intervention was completed, suggesting that children internalized what they had learned. There were no differences between the language and control groups on any math-related measures.

Maintaining Students’ Involvement in a Math Lecture Using Countdown Timers

Directory of Open Access Journals (Sweden)

Ann Krizzel A. Aban

2015-12-01

Full Text Available Involving students in a lecture is an important but not an easy task that every lecturer must encourage. This task becomes even greater in a math class that is composed of eighty to a hundred sixty students. In 2007, the University of the Philippines Los Baños (UPLB started offering some of its basic math courses in lecture-recitation set-up. This shift and many other factors drove most math instructors of UPLB to widely use presentation software, such as the PowerPoint (PPT, to deliver their lectures. The non-stop use of these softwares, however, seems to have negative effects on the students when it comes to maintaining their involvement in a lecture discussion for they tend to be more passive spectators. On the other hand, adding countdown timers strategically on some parts of the discussion seems to lessen such negative effects. This study determined the effectiveness of using countdown timers in maintaining students’ involvement in a lecture of MATH 27 (Analytic Geometry and Calculus II, a course in UPLB commonly taken by sophomore students. Results show that the effectiveness of countdown timers, as perceived by the students, is independent to students’ genders and degree programs, but is dependent to the colleges where the students belong to. Also, some effects of countdown timers are significantly correlated to various data from students’ profiles. It was concluded in the study that the use of countdown timers is effective in maintaining student’s involvement in MATH 27 lectures and might also be useful in other math lecture classes

Moving along the Mental Number Line: Interactions between Whole-Body Motion and Numerical Cognition

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Hartmann, Matthias; Grabherr, Luzia; Mast, Fred W.

2012-01-01

Active head turns to the left and right have recently been shown to influence numerical cognition by shifting attention along the mental number line. In the present study, we found that passive whole-body motion influences numerical cognition. In a random-number generation task (Experiment 1), leftward and downward displacement of participants…

The Impact of Metacognitive Strategies and Self-Regulating Processes of Solving Math Word Problems

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Vula, Eda; Avdyli, Rrezarta; Berisha, Valbona; Saqipi, Blerim; Elezi, Shpetim

2017-01-01

This empirical study investigates the impact of metacognitive strategies and self-regulating processes in learners' achievement on solving math word problems. It specifically analyzes the impact of the linguistic factor and the number of steps and arithmetical operations that learners need to apply during the process of solving math word problems.…

The role of expressive writing in math anxiety.

Science.gov (United States)

Park, Daeun; Ramirez, Gerardo; Beilock, Sian L

2014-06-01

Math anxiety is a negative affective reaction to situations involving math. Previous work demonstrates that math anxiety can negatively impact math problem solving by creating performance-related worries that disrupt the working memory needed for the task at hand. By leveraging knowledge about the mechanism underlying the math anxiety-performance relationship, we tested the effectiveness of a short expressive writing intervention that has been shown to reduce intrusive thoughts and improve working memory availability. Students (N = 80) varying in math anxiety were asked to sit quietly (control group) prior to completing difficulty-matched math and word problems or to write about their thoughts and feelings regarding the exam they were about to take (expressive writing group). For the control group, high math-anxious individuals (HMAs) performed significantly worse on the math problems than low math-anxious students (LMAs). In the expressive writing group, however, this difference in math performance across HMAs and LMAs was significantly reduced. Among HMAs, the use of words related to anxiety, cause, and insight in their writing was positively related to math performance. Expressive writing boosts the performance of anxious students in math-testing situations. PsycINFO Database Record (c) 2014 APA, all rights reserved.

Using Brief Guided Imagery to Reduce Math Anxiety and Improve Math Performance: A Pilot Study

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Henslee, Amber M.; Klein, Brandi A.

2017-01-01

The objective of this study was to investigate whether brief guided imagery could provide a short-term reduction in math anxiety and improve math performance. Undergraduates (N = 581) were screened for math anxiety, and the highest and lowest quartiles were recruited to participate in a lab-based study. Participants were assigned to a brief guided…

Early developmental trajectories of number knowledge and math achievement from 4 to 10 years: Low-persistent profile and early-life predictors.

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Garon-Carrier, Gabrielle; Boivin, Michel; Lemelin, Jean-Pascal; Kovas, Yulia; Parent, Sophie; Séguin, Jean R; Vitaro, Frank; Tremblay, Richard E; Dionne, Ginette

2018-06-01

Little is known about the development of number knowledge (NK) and the antecedents of low-persistent NK profiles in early childhood. We documented the developmental trajectories of NK across the transition from preschool to elementary school, their predictive validity with respect to later math achievement, and the child and family early-life factors associated with low NK profiles. Children's NK was assessed four times at regular intervals between the ages 4 and 7 years in a large, representative population-based sample. Developmental trajectories of NK were established for 1597 children. These children were also assessed with respect to several features of their family environment at 5, 17, and 29 months, as well as their cognitive skills at age 41 months. Analyses revealed a best-fitting 4-trajectory model, characterized by Low-Increasing (10% of the children), Moderate-Increasing (39%), Moderate-Fast Increasing (32%) and High-Increasing (19%) groups. Children of these trajectory groups differed significantly with respect to math achievement at ages 8 and 10 years, with the Low-Increasing group persistently scoring lower than the other groups throughout these years. Children of Low-Increasing NK group were from household of lower income and father with low educational background, poorer early cognitive development, and more importantly, reduced visual-spatial skills and memory-span. Children displaying reduced cognitive abilities and impoverished living conditions early in life are at greater risk of low NK throughout late preschool and school entry, with ensuing difficulties in math achievement. They deserve early preventive attention to help alleviate later mathematic difficulties. Copyright © 2018 Society for the Study of School Psychology. Published by Elsevier Ltd. All rights reserved.

Engaging Math-Avoidant College Students

Directory of Open Access Journals (Sweden)

M. Paul Latiolais

2009-07-01

Full Text Available This paper is an informal, personal account of how we, as two college teachers, became interested in math anxiety, decided to explore it amongst students at our institution in order to inform our teaching, and became convinced that the massive problem is math avoidance. We tried discussion groups, but few students attended, although those that did made useful suggestions. Thus informed, we designed an innovative course, Confronting College Mathematics as a Humanities course with the possibility of credit toward the math requirement, but it was undersubscribed in its first offering and had to be canceled. How can we get college students who avoid math to break through the barrier of math avoidance? We have now begun to explore a new approach: Second Life, where students can engage math—and quantitative literacy—virtually, and anonymously.

Evaluating Math Recovery: Implications for Policy and Practice

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Smith, Thomas

2010-01-01

This presentation focuses on an initial evaluation study of Math Recovery (MR), a pullout, one-to-one tutoring program that has been designed to increase mathematics achievement among low-performing first graders, thereby closing the school-entry achievement gap and enabling participants to achieve at the level of their higher-performing peers in…

Gender Compatibility, Math-Gender Stereotypes, and Self-Concepts in Math and Physics

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Koul, Ravinder; Lerdpornkulrat, Thanita; Poondej, Chanut

2016-01-01

Positive self-assessment of ability in the quantitative domains is considered critical for student participation in science, technology, engineering, and mathematics field studies. The present study investigated associations of gender compatibility (gender typicality and contentedness) and math-gender stereotypes with self-concepts in math and…

Visual working memory and number sense: Testing the double deficit hypothesis in mathematics.

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Toll, Sylke W M; Kroesbergen, Evelyn H; Van Luit, Johannes E H

2016-09-01

Evidence exists that there are two main underlying cognitive factors in mathematical difficulties: working memory and number sense. It is suggested that real math difficulties appear when both working memory and number sense are weak, here referred to as the double deficit (DD) hypothesis. The aim of this study was to test the DD hypothesis within a longitudinal time span of 2 years. A total of 670 children participated. The mean age was 4.96 years at the start of the study and 7.02 years at the end of the study. At the end of the first year of kindergarten, both visual-spatial working memory and number sense were measured by two different tasks. At the end of first grade, mathematical performance was measured with two tasks, one for math facts and one for math problems. Multiple regressions revealed that both visual working memory and symbolic number sense are predictors of mathematical performance in first grade. Symbolic number sense appears to be the strongest predictor for both math areas (math facts and math problems). Non-symbolic number sense only predicts performance in math problems. Multivariate analyses of variance showed that a combination of visual working memory and number sense deficits (NSDs) leads to the lowest performance on mathematics. Our DD hypothesis was confirmed. Both visual working memory and symbolic number sense in kindergarten are related to mathematical performance 2 years later, and a combination of visual working memory and NSDs leads to low performance in mathematical performance. © 2016 The British Psychological Society.

Avoiding math on a rapid timescale: Emotional responsivity and anxious attention in math anxiety.

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Pizzie, Rachel G; Kraemer, David J M

2017-11-01

Math anxiety (MA) is characterized by negative feelings towards mathematics, resulting in avoidance of math classes and of careers that rely on mathematical skills. Focused on a long timescale, this research may miss important cognitive and affective processes that operate moment-to-moment, changing rapid reactions even when a student simply sees a math problem. Here, using fMRI with an attentional deployment paradigm, we show that MA influences rapid spontaneous emotional and attentional responses to mathematical stimuli upon brief presentation. Critically, participants viewed but did not attempt to solve the problems. Indicating increased threat reactivity to even brief presentations of math problems, increased MA was associated with increased amygdala response during math viewing trials. Functionally and anatomically defined amygdala ROIs yielded similar results, indicating robustness of the finding. Similar to the pattern of vigilance and avoidance observed in specific phobia, behavioral results of the attentional paradigm demonstrated that MA is associated with attentional disengagement for mathematical symbols. This attentional avoidance is specific to math stimuli; when viewing negatively-valenced images, MA is correlated with attentional engagement, similar to other forms of anxiety. These results indicate that even brief exposure to mathematics triggers a neural response related to threat avoidance in highly MA individuals. Copyright © 2017 Elsevier Inc. All rights reserved.

The neurodevelopmental basis of math anxiety.

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Young, Christina B; Wu, Sarah S; Menon, Vinod

2012-05-01

Math anxiety is a negative emotional reaction to situations involving mathematical problem solving. Math anxiety has a detrimental impact on an individual's long-term professional success, but its neurodevelopmental origins are unknown. In a functional MRI study on 7- to 9-year-old children, we showed that math anxiety was associated with hyperactivity in right amygdala regions that are important for processing negative emotions. In addition, we found that math anxiety was associated with reduced activity in posterior parietal and dorsolateral prefrontal cortex regions involved in mathematical reasoning. Multivariate classification analysis revealed distinct multivoxel activity patterns, which were independent of overall activation levels in the right amygdala. Furthermore, effective connectivity between the amygdala and ventromedial prefrontal cortex regions that regulate negative emotions was elevated in children with math anxiety. These effects were specific to math anxiety and unrelated to general anxiety, intelligence, working memory, or reading ability. Our study identified the neural correlates of math anxiety for the first time, and our findings have significant implications for its early identification and treatment.

More math into Latex

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Grätzer, George

2007-01-01

For close to two decades, Math into Latex has been the standard introduction and complete reference for writing articles and books containing mathematical formulas. In this fourth edition, the reader is provided with important updates on articles and books. An important new topic is discussed: transparencies (computer projections). Key features of More Math into Latex, 4th edition: Installation instructions for PC and Mac users; An example-based, visual approach and a gentle introduction with the Short Course; A detailed exposition of multiline math formulas with a Visual Guide; A unified appr

Building Kindergartners’ Number Sense: A Randomized Controlled Study

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

2015-01-01

Math achievement in elementary school is mediated by performance and growth in number sense during kindergarten. The aim of the present study was to test the effectiveness of a targeted small group number sense intervention for high-risk kindergartners from low-income communities. Children were randomly assigned to one of three groups (n = 44 in each group): a number sense intervention group, a language intervention group, or a business as usual control group. Accounting for initial skill level in mathematical knowledge, children who received the number sense intervention performed better than controls at immediate post test, with meaningful effects on measures of number competencies and general math achievement. Many of the effects held eight weeks after the intervention was completed, suggesting that children internalized what they had learned. There were no differences between the language and control groups on any math-related measures. PMID:25866417

String Math 2017

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The series of String-Math conferences has developed into a central event on the interface between mathematics and physics related to string theory, quantum field theory and neighboring subjects. The conference will take place from July 24-28 in the main building of Hamburg university. The String-Math conference is organised by the University of Hamburg jointly with DESY Hamburg.

Women, Numbers and Dreams. Biographical Sketches and Math Activities. Teacher's Manual.

Science.gov (United States)

Perl, Teri Hoch; Christner, Patsy

This teacher's manual provides ideas and suggestions for integrating the booklet "Women, Numbers, and Dreams" into the mathematics program. Shade-ins and role playing are each described, and a timeline to "flesh out" the world in which women live is presented. Discussion questions for each of the 11 biographical stories about 13 women are provided…

The Influence of an Internet-Based Formative Assessment Tool on Primary Grades Students' Number Sense Achievement

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Polly, Drew; Wang, Chuang; Martin, Christie; Lambert, Richard G.; Pugalee, David K.; Middleton, Catharina Win

2017-01-01

This study examined primary grades students' achievement on number sense tasks administered through an Internet-based formative assessment tool, Assessing Math Concepts Anywhere. Data were analyzed from 2,357 students in teachers' classrooms who had participated in a year-long professional development program on mathematics formative assessment,…

Rationale and design of a randomized controlled trial examining the effect of classroom-based physical activity on math achievement

DEFF Research Database (Denmark)

Have, Mona; Nielsen, Jacob Have; Gejl, Anne Kær

2016-01-01

was a 9-month classroom-based PA program that involved integration of PA into the math lessons delivered by the schools' math teachers. The primary study outcome was change in math achievement, measured by a 45-minute standardized math test. Secondary outcomes were change in executive function (using...... a modified Eriksen flanker task and the Behavior Rating Inventory of Executive Function (BRIEF) questionnaire filled out by the parents), creativity (using the Torrance Tests of Creative Thinking, TTCT), aerobic fitness (by the Andersen intermittent shuttle-run test) and body mass index. PA during math...... lessons and total PA (including time spent outside school) were assessed using accelerometry. Math teachers used Short Message Service (SMS)-tracking to report on compliance with the PA intervention and on their motivation for implementing PA in math lessons. Parents used SMS-tracking to register...

Attentional bias in math anxiety.

Science.gov (United States)

Rubinsten, Orly; Eidlin, Hili; Wohl, Hadas; Akibli, Orly

2015-01-01

Cognitive theory from the field of general anxiety suggests that the tendency to display attentional bias toward negative information results in anxiety. Accordingly, the current study aims to investigate whether attentional bias is involved in math anxiety (MA) as well (i.e., a persistent negative reaction to math). Twenty seven participants (14 with high levels of MA and 13 with low levels of MA) were presented with a novel computerized numerical version of the well established dot probe task. One of six types of prime stimuli, either math related or typically neutral, was presented on one side of a computer screen. The prime was preceded by a probe (either one or two asterisks) that appeared in either the prime or the opposite location. Participants had to discriminate probe identity (one or two asterisks). Math anxious individuals reacted faster when the probe was at the location of the numerical related stimuli. This suggests the existence of attentional bias in MA. That is, for math anxious individuals, the cognitive system selectively favored the processing of emotionally negative information (i.e., math related words). These findings suggest that attentional bias is linked to unduly intense MA symptoms.

Math Anxiety Assessment with the Abbreviated Math Anxiety Scale: Applicability and usefulness: insights from the Polish adaptation

Directory of Open Access Journals (Sweden)

Krzysztof eCipora

2015-11-01

Full Text Available Math anxiety has an important impact on mathematical development and performance. However, although math anxiety is supposed to be a transcultural trait, assessment instruments are scarce and are validated mainly for Western cultures so far. Therefore, we aimed at examining the transcultural generality of math anxiety by a thorough investigation of the validity of math anxiety assessment in Eastern Europe. We investigated the validity and reliability of a Polish adaptation of the Abbreviated Math Anxiety Scale (AMAS, known to have very good psychometric characteristics in its original, American-English version as well as in its Italian and Iranian adaptations.We also observed high reliability, both for internal consistency and test-retest stability of the AMAS in the Polish sample. The results also show very good construct, convergent and discriminant validity: The factorial structure in Polish adult participants (n = 857 was very similar to the one previously found in other samples; AMAS scores correlated moderately in expected directions with state and trait anxiety, self-assessed math achievement and skill as well temperamental traits of emotional reactivity, briskness, endurance and perseverance. Average scores obtained by participants as well as gender differences and correlations with external measures were also similar across cultures. Beyond the cultural comparison, we used path model analyses to show that math anxiety relates to math grades and self-competence when controlling for trait anxiety.The current study shows transcultural validity of math anxiety assessment with the AMAS.

Math Anxiety Assessment with the Abbreviated Math Anxiety Scale: Applicability and Usefulness: Insights from the Polish Adaptation.

Science.gov (United States)

Cipora, Krzysztof; Szczygieł, Monika; Willmes, Klaus; Nuerk, Hans-Christoph

2015-01-01

Math anxiety has an important impact on mathematical development and performance. However, although math anxiety is supposed to be a transcultural trait, assessment instruments are scarce and are validated mainly for Western cultures so far. Therefore, we aimed at examining the transcultural generality of math anxiety by a thorough investigation of the validity of math anxiety assessment in Eastern Europe. We investigated the validity and reliability of a Polish adaptation of the Abbreviated Math Anxiety Scale (AMAS), known to have very good psychometric characteristics in its original, American-English version as well as in its Italian and Iranian adaptations. We also observed high reliability, both for internal consistency and test-retest stability of the AMAS in the Polish sample. The results also show very good construct, convergent and discriminant validity: The factorial structure in Polish adult participants (n = 857) was very similar to the one previously found in other samples; AMAS scores correlated moderately in expected directions with state and trait anxiety, self-assessed math achievement and skill as well temperamental traits of emotional reactivity, briskness, endurance, and perseverance. Average scores obtained by participants as well as gender differences and correlations with external measures were also similar across cultures. Beyond the cultural comparison, we used path model analyses to show that math anxiety relates to math grades and self-competence when controlling for trait anxiety. The current study shows transcultural validity of math anxiety assessment with the AMAS.

Classroom Learning Environment and Gender: Do They Explain Math Self-Efficacy, Math Outcome Expectations, and Math Interest during Early Adolescence?

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Deacon, Mary M.

2011-01-01

Despite initiatives to increase and broaden participation in science, technology, engineering, and mathematics (STEM) fields, women remain underrepresented in STEM. While U.S. girls and women perform as well as, if not better, than boys and men in math, research results indicate that there are significant declines in girls' math self-efficacy,…

Transmitting Success: Comprehensive Peer Mentoring for At-Risk Students in Developmental Math

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Morales, Erik E.; Ambrose-Roman, Sarah; Perez-Maldonado, Rosa

2016-01-01

This study presents and assesses a developmental math focused peer mentoring program at a public urban university. Over three semesters 45 mentees participated in the program. Results include substantive increases in developmental pass rates as well as increases in self-efficacy and social integration. Other noteworthy findings include the…

A descriptive study of high school Latino and Caucasian students' values about math, perceived math achievement and STEM career choice

Science.gov (United States)

Rodriguez Flecha, Samuel

The purpose of this study was to examine high school students' math values, perceived math achievement, and STEM career choice. Participants (N=515) were rural high school students from the U.S. Northwest. Data was collected by administering the "To Do or Not to Do:" STEM pilot survey. Most participants (n=294) were Latinos, followed by Caucasians (n=142). Fifty-three percent of the students rated their math achievement as C or below. Of high math students, 57% were male. Females were 53% of low math students. Caucasians (61%) rated themselves as high in math in a greater proportion than Latinos (39%). Latinos (58%) rated themselves as low in math in a greater proportion than Caucasians (39%). Math Values play a significant role in students' perceived math achievement. Internal math values (r =.68, R2 =.46, p =.001) influenced perceived math achievement regardless of gender (males: r =.70, R2 =.49, p =.001; females: r =.65, R2 =.43, p =.001), for Latinos (r =.66, R2 =.44, p =.001), and Caucasians (r =.72, R2 =.51, p =.001). External math values (r =.53, R2 =.28, p =.001) influenced perceived math achievement regardless of gender (males: r =.54, R2 =.30, p =.001; females: r =.49, R2 =.24, p =.001), for Latinos (r =.47, R2 =.22, p =.001), and Caucasians (r =.58, R2 =.33, p =.001). Most high-math students indicated an awareness of being good at math at around 11 years old. Low-math students said that they realized that math was difficult for them at approximately 13 years of age. The influence of parents, teachers, and peers may vary at different academic stages. Approximately half of the participants said there was not a person who had significantly impacted their career choice; only a minority said their parents and teachers were influencing them to a STEM career. Parents and teachers are the most influential relationships in students' career choice. More exposure to STEM role models and in a variety of professions is needed. Possible strategies to impact students

Barron's SAT math workbook

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Leff MS, Lawrence S

2016-01-01

This completely revised edition reflects all of the new questions and question types that will appear on the new SAT, scheduled to be administered in Spring 2016. Includes hundreds of revised math questions and answer explanations, math strategies, test-taking tips, and much more.

SAT math prep course

CERN Document Server

Kolby, Jeff

2011-01-01

Comprehensive Prep for SAT Math Every year, students pay 1,000 and more to test prep companies to prepare for the math section of the new SAT. Now you can get the same preparation in a book. Features: * Comprehensive Review: Twenty-three chapters provide complete review of SAT math. * Practice: Includes 164 examples and more than 500 exercises! Arranged from easy to medium to hard to very hard. * Diagnostic Test: The diagnostic test measures your strengths and weaknesses and directs you to areas you need to study more. * Performance: If your target is a 700+ score, this is the book!

Math Is Like a Scary Movie? Helping Young People Overcome Math Anxiety

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Kulkin, Margaret

2016-01-01

Afterschool teachers who tutor students or provide homework help have a unique opportunity to help students overcome the social or emotional barriers that so often block learning. They can embrace a creative and investigative approach to math learning. Margaret Kulkin's interest in being a math attitude "myth-buster" led her to apply to…

Math Practice and Its Influence on Math Skills and Executive Functions in Adolescents with Mild to Borderline Intellectual Disability

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Jansen, Brenda R. J.; De Lange, Eva; Van der Molen, Mariet J.

2013-01-01

Adolescents with mild to borderline intellectual disability (MBID) often complete schooling without mastering basic math skills, even though basic math is essential for math-related challenges in everyday life. Limited attention to cognitive skills and low executive functioning (EF) may cause this delay. We aimed to improve math skills in an…

Enhancing Mathematical Communication for Virtual Math Teams

Science.gov (United States)

Stahl, Gerry; Çakir, Murat Perit; Weimar, Stephen; Weusijana, Baba Kofi; Ou, Jimmy Xiantong

2010-01-01

The Math Forum is an online resource center for pre-algebra, algebra, geometry and pre-calculus. Its Virtual Math Teams (VMT) service provides an integrated web-based environment for small teams of people to discuss math and to work collaboratively on math problems or explore interesting mathematical micro-worlds together. The VMT Project studies…

Math-Gender Stereotypes in Elementary School Children

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Cvencek, Dario; Meltzoff, Andrew N.; Greenwald, Anthony G.

2011-01-01

A total of 247 American children between 6 and 10 years of age (126 girls and 121 boys) completed Implicit Association Tests and explicit self-report measures assessing the association of (a) "me" with "male" (gender identity), (b) "male" with "math" (math-gender stereotype), and (c) "me" with "math" (math self-concept). Two findings emerged.…

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

Science.gov (United States)

Rickard, Laura N.; Wilson, Colette

2006-01-01

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

Predictive model for early math skills based on structural equations.

Science.gov (United States)

Aragón, Estíbaliz; Navarro, José I; Aguilar, Manuel; Cerda, Gamal; García-Sedeño, Manuel

2016-12-01

Early math skills are determined by higher cognitive processes that are particularly important for acquiring and developing skills during a child's early education. Such processes could be a critical target for identifying students at risk for math learning difficulties. Few studies have considered the use of a structural equation method to rationalize these relations. Participating in this study were 207 preschool students ages 59 to 72 months, 108 boys and 99 girls. Performance with respect to early math skills, early literacy, general intelligence, working memory, and short-term memory was assessed. A structural equation model explaining 64.3% of the variance in early math skills was applied. Early literacy exhibited the highest statistical significance (β = 0.443, p < 0.05), followed by intelligence (β = 0.286, p < 0.05), working memory (β = 0.220, p < 0.05), and short-term memory (β = 0.213, p < 0.05). Correlations between the independent variables were also significant (p < 0.05). According to the results, cognitive variables should be included in remedial intervention programs. © 2016 Scandinavian Psychological Associations and John Wiley & Sons Ltd.

Effects of Math Anxiety and Perfectionism on Timed versus Untimed Math Testing in Mathematically Gifted Sixth Graders

Science.gov (United States)

Tsui, Joanne M.; Mazzocco, Michele M. M.

2006-01-01

This study was designed to examine the effects of math anxiety and perfectionism on math performance, under timed testing conditions, among mathematically gifted sixth graders. We found that participants had worse math performance during timed versus untimed testing, but this difference was statistically significant only when the timed condition…

Working with numbers and statistics a handbook for journalists

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Livingston, Charles

2005-01-01

Working With Numbers and Statistics: A Handbook for Journalists will bolster math skills and improve math confidence for journalists at all skill levels. Authors Charles Livingston and Paul Voakes developed this resource book to improve journalist

Math Description Engine Software Development Kit

Science.gov (United States)

Shelton, Robert O.; Smith, Stephanie L.; Dexter, Dan E.; Hodgson, Terry R.

2010-01-01

The Math Description Engine Software Development Kit (MDE SDK) can be used by software developers to make computer-rendered graphs more accessible to blind and visually-impaired users. The MDE SDK generates alternative graph descriptions in two forms: textual descriptions and non-verbal sound renderings, or sonification. It also enables display of an animated trace of a graph sonification on a visual graph component, with color and line-thickness options for users having low vision or color-related impairments. A set of accessible graphical user interface widgets is provided for operation by end users and for control of accessible graph displays. Version 1.0 of the MDE SDK generates text descriptions for 2D graphs commonly seen in math and science curriculum (and practice). The mathematically rich text descriptions can also serve as a virtual math and science assistant for blind and sighted users, making graphs more accessible for everyone. The MDE SDK has a simple application programming interface (API) that makes it easy for programmers and Web-site developers to make graphs accessible with just a few lines of code. The source code is written in Java for cross-platform compatibility and to take advantage of Java s built-in support for building accessible software application interfaces. Compiled-library and NASA Open Source versions are available with API documentation and Programmer s Guide at http:/ / prim e.jsc.n asa. gov.

La maison des mathématiques

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Villani, Cédric; Moncorgé, Vincent

2014-01-01

Comment travaillent les mathématiciens ? C'est peut-être en se promenant dans les couloirs de la première des " maisons des mathématiques " de France, l'institut Henri Poincaré, que l'on trouvera quelques réponses. Le mathématicien Cédric Villani et le physicien Jean-Philippe Uzan nous invitent à découvrir cette discipline et ses acteurs. Au fil des pages on suit, à travers de superbes images signées du photographe Vincent Moncorgé, la façon dont se fabrique cette science qui reste souvent mystérieuse. Toutes les dimensions, scientifique, esthétique et poétique, des mathématiques sont convoquées grâce à des regards croisés : la diversité des inspirations des chercheurs, la source de leur créativité, l'imaginaire littéraire et artistique des mathématiques, la drôle de tribu des mathématiciens. Un voyage au cœur de cette " auberge espagnole " des mathématiques, campus " à la française " accueillant des centaines de chercheurs du monde entier, devenu un lieu d'émulation et d'éc...

The National Teacher Training Institute for Math, Science and Technology: Exemplary Practice in a Climate of Higher Standards.

Science.gov (United States)

Donlevy, James G., Ed.; Donlevy, Tia Rice, Ed.

1999-01-01

Reviews the NTTI (National Teacher Training Institute) for Math, Science and Technology model that trains teachers to use video and Internet resources to enhance math and science instruction. Discusses multimedia methodology; standards-based training; program impact in schools; and lesson plans available on the NTTI Web site. (Author/LRW)

Opportunities for Learning Math in Elementary School: Implications for SES Disparities in Procedural and Conceptual Math Skills

Science.gov (United States)

Bachman, Heather J.; Votruba-Drzal, Elizabeth; El Nokali, Nermeen E.; Castle Heatly, Melissa

2015-01-01

The present study examined whether multiple opportunities to learn math were associated with smaller socioeconomic status (SES) disparities in fifth-grade math achievement using data from the NICHD Study of Early Child Care and Youth Development (SECCYD; N = 1,364). High amounts of procedural math instruction were associated with higher…

Math anxiety and exposure to statistics in messages about genetically modified foods: effects of numeracy, math self-efficacy, and form of presentation.

Science.gov (United States)

Silk, Kami J; Parrott, Roxanne L

2014-01-01

Health risks are often communicated to the lay public in statistical formats even though low math skills, or innumeracy, have been found to be prevalent among lay individuals. Although numeracy has been a topic of much research investigation, the role of math self-efficacy and math anxiety on health and risk communication processing has received scant attention from health communication researchers. To advance theoretical and applied understanding regarding health message processing, the authors consider the role of math anxiety, including the effects of math self-efficacy, numeracy, and form of presenting statistics on math anxiety, and the potential effects for comprehension, yielding, and behavioral intentions. The authors also examine math anxiety in a health risk context through an evaluation of the effects of exposure to a message about genetically modified foods on levels of math anxiety. Participants (N = 323) were randomly assigned to read a message that varied the presentation of statistical evidence about potential risks associated with genetically modified foods. Findings reveal that exposure increased levels of math anxiety, with increases in math anxiety limiting yielding. Moreover, math anxiety impaired comprehension but was mediated by perceivers' math confidence and skills. Last, math anxiety facilitated behavioral intentions. Participants who received a text-based message with percentages were more likely to yield than participants who received either a bar graph with percentages or a combined form. Implications are discussed as they relate to math competence and its role in processing health and risk messages.

Les grands problèmes mathématiques ils orientent l'avenir des maths

CERN Document Server

2012-01-01

Les mathématiques ont leurs sept merveilles ! Il s’agit des sept problèmes du millénaire, mis à prix à un million de dollars chacun par l’Institut Clay de mathématiques en 2000. Mais l’intelligence des mathématiciens est aussi mise à l’épreuve par bien d’autres problèmes, tels ceux de Hilbert. Découvrez dans ce numéro comment ces énigmes orientent l’avenir de la discipline ouvrant la voie à de nouvelles connaissances fondamentales.

Math starters 5- to 10-minute activities aligned with the common core math standards, grades 6-12

CERN Document Server

Muschla, Judith A; Muschla, Erin

2013-01-01

A revised edition of the bestselling activities guide for math teachers Now updated with new math activities for computers and mobile devices-and now organized by the Common Core State Standards-this book includes more than 650 ready-to-use math starter activities that get kids quickly focused and working as soon as they enter the classroom. Ideally suited for any math curriculum, these high-interest problems spark involvement in the day's lesson, help students build skills, and allow teachers to handle daily management tasks without wasting valuable instructional time. A newly updated edit

Math anxiety: A review of its cognitive consequences, psychophysiological correlates, and brain bases.

Science.gov (United States)

Suárez-Pellicioni, Macarena; Núñez-Peña, María Isabel; Colomé, Àngels

2016-02-01

A decade has passed since the last published review of math anxiety, which was carried out by Ashcraft and Ridley (2005). Given the considerable interest aroused by this topic in recent years and the growing number of publications related to it, the present article aims to provide a full and updated review of the field, ranging from the initial studies of the impact of math anxiety on numerical cognition, to the latest research exploring its electrophysiological correlates and brain bases from a cognitive neuroscience perspective. Finally, this review describes the factors and mechanisms that have been claimed to play a role in the origins and/or maintenance of math anxiety, and it examines in detail the main explanations proposed to account for the negative effects of math anxiety on performance: competition for working memory resources, a deficit in a low-level numerical representation, and inhibition/attentional control deficit.

Choke or thrive? The relation between salivary cortisol and math performance depends on individual differences in working memory and math-anxiety.

Science.gov (United States)

Mattarella-Micke, Andrew; Mateo, Jill; Kozak, Megan N; Foster, Katherine; Beilock, Sian L

2011-08-01

In the current study, we explored how a person's physiological arousal relates to their performance in a challenging math situation as a function of individual differences in working memory (WM) capacity and math-anxiety. Participants completed demanding math problems before and after which salivary cortisol, an index of arousal, was measured. The performance of lower WM individuals did not depend on cortisol concentration or math-anxiety. For higher WM individuals high in math-anxiety, the higher their concentration of salivary cortisol following the math task, the worse their performance. In contrast, for higher WM individuals lower in math-anxiety, the higher their salivary cortisol concentrations, the better their performance. For individuals who have the capacity to perform at a high-level (higher WMs), whether physiological arousal will lead an individual to choke or thrive depends on math-anxiety. 2011 APA, all rights reserved

Multi-particle Anderson Localisation: Induction on the Number of Particles

International Nuclear Information System (INIS)

Chulaevsky, Victor; Suhov, Yuri

2009-01-01

This paper is a follow-up of our recent papers Chulaevsky and Suhov (Commun Math Phys 283:479-489, 2008) and Chulaevsky and Suhov (Commun Math Phys in press, 2009) covering the two-particle Anderson model. Here we establish the phenomenon of Anderson localisation for a quantum N-particle system on a lattice with short-range interaction and in presence of an IID external potential with sufficiently regular marginal cumulative distribution function (CDF). Our main method is an adaptation of the multi-scale analysis (MSA; cf. Froehlich and Spencer, Commun Math Phys 88:151-184, 1983; Froehlich et al., Commun Math Phys 101:21-46, 1985; von Dreifus and Klein, Commun Math Phys 124:285-299, 1989) to multi-particle systems, in combination with an induction on the number of particles, as was proposed in our earlier manuscript (Chulaevsky and Suhov 2007). Recently, Aizenman and Warzel (2008) proved spectral and dynamical localisation for N-particle lattice systems with a short-range interaction, using an extension of the Fractional-Moment Method (FMM) developed earlier for single-particle models in Aizenman and Molchanov (Commun Math Phys 157:245-278, 1993) and Aizenman et al. (Commun Math Phys 224:219-253, 2001) (see also references therein) which is also combined with an induction on the number of particles

The Impact of an Online Tutoring Program on Mathematics Achievement

Science.gov (United States)

Clark, Amy K.; Whetstone, Patti

2014-01-01

The authors explored the impact of an online tutoring program, Math Whizz (Whizz Education, 2014), on student mathematics achievement at 15 elementary schools. Students participated in the use of the Math Whizz program for the duration of the school year as a supplement to mathematics instruction. The Math Whizz program recorded such information…

Rural Math Excel Partnership (RMEP) Project Final Performance Report

Science.gov (United States)

Harmon, Hobart; Tate, Veronica; Stevens, Jennifer; Wilborn, Sandy; Adams, Sue

2018-01-01

The goal of the Rural Math Excel Partnership (RMEP) project, a development project funded by the U.S. Department of Education Investing in Innovation (i3) grant program, was to develop a model of shared responsibility among families, teachers, and communities in rural areas as collective support for student success in and preparation for advanced…

Technology-Enhanced Assessment of Math Fact Automaticity: Patterns of Performance for Low- and Typically Achieving Students

Science.gov (United States)

Stickney, Eric M.; Sharp, Lindsay B.; Kenyon, Amanda S.

2012-01-01

Because math fact automaticity has been identified as a key barrier for students struggling with mathematics, we examined how initial math achievement levels influenced the path to automaticity (e.g., variation in number of attempts, speed of retrieval, and skill maintenance over time) and the relation between attainment of automaticity and gains…

Trajectories of Self-Perceived Math Ability, Utility Value and Interest across Middle School as Predictors of High School Math Performance

Science.gov (United States)

Petersen, Jennifer Lee; Hyde, Janet Shibley

2017-01-01

Although many studies have documented developmental change in mathematics motivation, little is known about how these trends predict math performance. A sample of 288 participants from the United States reported their perceived math ability, math utility value and math interest in 5th, 7th and 9th grades. Latent growth curve models estimated…

Enhancing Mathematical Communication for Virtual Math Teams

Directory of Open Access Journals (Sweden)

Gerry Stahl

2010-06-01

Full Text Available The Math Forum is an online resource center for pre-algebra, algebra, geometry and pre-calculus. Its Virtual Math Teams (VMT service provides an integrated web-based environment for small teams of people to discuss math and to work collaboratively on math problems or explore interesting mathematical micro-worlds together. The VMT Project studies the online math discourse that takes place during sessions of virtual math teams working on open-ended problem-solving tasks. In particular, it investigates methods of group cognition that are employed by teams in this setting. The VMT environment currently integrates social networking, synchronous text chat, a shared whiteboard for drawing, web browsers and an asynchronous wiki for exchanging findings within the larger community. A simple version of MathML is supported in the whiteboard, chat and wiki for displaying mathematical expressions. The VMT Project is currently integrating the dynamic mathematics application, GeoGebra, into its collaboration environment. This will create a multi-user version of GeoGebra, which can be used in concert with the chat, web browsers, curricular topics and wiki repository.

Impact of High Mathematics Education on the Number Sense

Science.gov (United States)

Castronovo, Julie; Göbel, Silke M.

2012-01-01

In adult number processing two mechanisms are commonly used: approximate estimation of quantity and exact calculation. While the former relies on the approximate number sense (ANS) which we share with animals and preverbal infants, the latter has been proposed to rely on an exact number system (ENS) which develops later in life following the acquisition of symbolic number knowledge. The current study investigated the influence of high level math education on the ANS and the ENS. Our results showed that the precision of non-symbolic quantity representation was not significantly altered by high level math education. However, performance in a symbolic number comparison task as well as the ability to map accurately between symbolic and non-symbolic quantities was significantly better the higher mathematics achievement. Our findings suggest that high level math education in adults shows little influence on their ANS, but it seems to be associated with a better anchored ENS and better mapping abilities between ENS and ANS. PMID:22558077

Effective pedagogies for teaching math to nursing students: a literature review.

Science.gov (United States)

Hunter Revell, Susan M; McCurry, Mary K

2013-11-01

Improving mathematical competency and problem-solving skills in undergraduate nursing students has been an enduring challenge for nurse educators. A number of teaching strategies have been used to address this problem with varying degrees of success. This paper discusses a literature review which examined undergraduate nursing student challenges to learning math, methods used to teach math and problem-solving skills, and the use of innovative pedagogies for teaching. The literature was searched using the Cumulative Index of Nursing and Allied Health Literature and Education Resource Information Center databases. Key search terms included: math*, nurs*, nursing student, calculation, technology, medication administration, challenges, problem-solving, personal response system, clickers, computer and multi-media. Studies included in the review were published in English from 1990 to 2011. Results support four major themes which include: student challenges to learning, traditional pedagogies, curriculum strategies, and technology and integrative methods as pedagogy. The review concludes that there is a need for more innovative pedagogical strategies for teaching math to student nurses. Nurse educators in particular play a central role in helping students learn the conceptual basis, as well as practical hands-on methods, to problem solving and math competency. It is recommended that an integrated approach inclusive of technology will benefit students through better performance, increased understanding, and improved student satisfaction. Copyright © 2012 Elsevier Ltd. All rights reserved.

Worrying Thoughts Limit Working Memory Capacity in Math Anxiety.

Science.gov (United States)

Shi, Zhan; Liu, Peiru

2016-01-01

Sixty-one high-math-anxious persons and sixty-one low-math-anxious persons completed a modified working memory capacity task, designed to measure working memory capacity under a dysfunctional math-related context and working memory capacity under a valence-neutral context. Participants were required to perform simple tasks with emotionally benign material (i.e., lists of letters) over short intervals while simultaneously reading and making judgments about sentences describing dysfunctional math-related thoughts or sentences describing emotionally-neutral facts about the world. Working memory capacity for letters under the dysfunctional math-related context, relative to working memory capacity performance under the valence-neutral context, was poorer overall in the high-math-anxious group compared with the low-math-anxious group. The findings show a particular difficulty employing working memory in math-related contexts in high-math-anxious participants. Theories that can provide reasonable interpretations for these findings and interventions that can reduce anxiety-induced worrying intrusive thoughts or improve working memory capacity for math anxiety are discussed.

An Exploration of the Relationships among Cattell-Horn-Carroll (CHC) Theory-Aligned Cognitive Abilities and Math Fluency

Science.gov (United States)

Piselli, Katherine D.

2017-01-01

Math fluency, which refers to the ability to solve single digit arithmetic problems quickly and accurately, is a foundational mathematical skill. Recent research has examined the role of phonological processing, executive control, and number sense in explaining differences in math fluency performance in school-aged children. Identifying the links…

Haunted by Math: The Impact of Policy and Practice on Students with Math Learning Disabilities in the Transition to Post-Secondary Education in Mumbai, India

Science.gov (United States)

Eichhorn, Melinda S.

2016-01-01

Only six states in India currently identify learning disabilities as a category of disability. This article highlights the challenges students with math learning disabilities face in their transition from secondary school to higher secondary education and Bachelor of Commerce degree programs in the state of Maharashtra. While the current…

The impact of metacognitive strategies and self-regulating processes of solving math word problems

OpenAIRE

Eda Vula; Rrezarta Avdyli; Valbona Berisha; Blerim Saqipi; Shpetim Elezi

2017-01-01

This empirical study investigates the impact of metacognitive strategies and self-regulating processes in learners’ achievement on solving math word problems. It specifically analyzes the impact of the linguistic factor and the number of steps and arithmetical operations that learners need to apply during the process of solving math word problems. Two hundred sixty-three learners, of three classes of third graders (N=130) and four classes of fifth ...

Math Tracks: What Pace in Math Is Best for the Middle School Child?

Science.gov (United States)

Morrison, Michelle

2011-01-01

Mathematics is a critical part of academic preparation of the middle school child, or, as Dr. Maria Montessori would refer to them, children in the third plane of development. Montessori educators are sincere in their endeavors not only to prepare young students for further studies of math and the application of math in their world and careers,…

Literacy Specialists in Math Class! Closing the Achievement Gap on State Math Assessments

Science.gov (United States)

DiGisi, Lori L.; Fleming, Dianne

2005-01-01

Sixth and eighth grade students who are English language learners must be able to read and interpret 39 math word problems in order to successfully calculate the answers on the Massachusetts state math assessment (MCAS). The first year that MCAS was administered, many ELL students read the questions, found them confusing, and left them blank,…

A Successful Senior Seminar: Unsolved Problems in Number Theory

Science.gov (United States)

Styer, Robert

2014-01-01

The "Unsolved Problems in Number Theory" book by Richard Guy provides nice problems suitable for a typical math major. We give examples of problems that have worked well in our senior seminar course and some nice results that senior math majors can obtain.

Math at home adds up to achievement in school.

Science.gov (United States)

Berkowitz, Talia; Schaeffer, Marjorie W; Maloney, Erin A; Peterson, Lori; Gregor, Courtney; Levine, Susan C; Beilock, Sian L

2015-10-09

With a randomized field experiment of 587 first-graders, we tested an educational intervention designed to promote interactions between children and parents relating to math. We predicted that increasing math activities at home would increase children's math achievement at school. We tested this prediction by having children engage in math story time with their parents. The intervention, short numerical story problems delivered through an iPad app, significantly increased children's math achievement across the school year compared to a reading (control) group, especially for children whose parents are habitually anxious about math. Brief, high-quality parent-child interactions about math at home help break the intergenerational cycle of low math achievement. Copyright © 2015, American Association for the Advancement of Science.

Math practice and its influence on math skills and executive functions in adolescents with mild to borderline intellectual disability

NARCIS (Netherlands)

Jansen, B.R.J.; Lange, E.; van der Molen, M.J.

2013-01-01

Adolescents with mild to borderline intellectual disability (MBID) often complete schooling without mastering basic math skills, even though basic math is essential for math-related challenges in everyday life. Limited attention to cognitive skills and low executive functioning (EF) may cause this

Worrying Thoughts Limit Working Memory Capacity in Math Anxiety.

Directory of Open Access Journals (Sweden)

Zhan Shi

Full Text Available Sixty-one high-math-anxious persons and sixty-one low-math-anxious persons completed a modified working memory capacity task, designed to measure working memory capacity under a dysfunctional math-related context and working memory capacity under a valence-neutral context. Participants were required to perform simple tasks with emotionally benign material (i.e., lists of letters over short intervals while simultaneously reading and making judgments about sentences describing dysfunctional math-related thoughts or sentences describing emotionally-neutral facts about the world. Working memory capacity for letters under the dysfunctional math-related context, relative to working memory capacity performance under the valence-neutral context, was poorer overall in the high-math-anxious group compared with the low-math-anxious group. The findings show a particular difficulty employing working memory in math-related contexts in high-math-anxious participants. Theories that can provide reasonable interpretations for these findings and interventions that can reduce anxiety-induced worrying intrusive thoughts or improve working memory capacity for math anxiety are discussed.

Development of brain systems for nonsymbolic numerosity and the relationship to formal math academic achievement.

Science.gov (United States)

Haist, Frank; Wazny, Jarnet H; Toomarian, Elizabeth; Adamo, Maha

2015-02-01

A central question in cognitive and educational neuroscience is whether brain operations supporting nonlinguistic intuitive number sense (numerosity) predict individual acquisition and academic achievement for symbolic or "formal" math knowledge. Here, we conducted a developmental functional magnetic resonance imaging (MRI) study of nonsymbolic numerosity task performance in 44 participants including 14 school age children (6-12 years old), 14 adolescents (13-17 years old), and 16 adults and compared a brain activity measure of numerosity precision to scores from the Woodcock-Johnson III Broad Math index of math academic achievement. Accuracy and reaction time from the numerosity task did not reliably predict formal math achievement. We found a significant positive developmental trend for improved numerosity precision in the parietal cortex and intraparietal sulcus specifically. Controlling for age and overall cognitive ability, we found a reliable positive relationship between individual math achievement scores and parietal lobe activity only in children. In addition, children showed robust positive relationships between math achievement and numerosity precision within ventral stream processing areas bilaterally. The pattern of results suggests a dynamic developmental trajectory for visual discrimination strategies that predict the acquisition of formal math knowledge. In adults, the efficiency of visual discrimination marked by numerosity acuity in ventral occipital-temporal cortex and hippocampus differentiated individuals with better or worse formal math achievement, respectively. Overall, these results suggest that two different brain systems for nonsymbolic numerosity acuity may contribute to individual differences in math achievement and that the contribution of these systems differs across development. © 2014 Wiley Periodicals, Inc.

The School for Science and Math at Vanderbilt: An Innovative Research-Based Program for High School Students

Science.gov (United States)

Eeds, Angela; Vanags, Chris; Creamer, Jonathan; Loveless, Mary; Dixon, Amanda; Sperling, Harvey; McCombs, Glenn; Robinson, Doug

2014-01-01

The School for Science and Math at Vanderbilt (SSMV) is an innovative partnership program between a Research I private university and a large urban public school system. The SSMV was started in 2007 and currently has 101 students enrolled in the program, with a total of 60 students who have completed the 4-yr sequential program. Students attend the SSMV for one full day per week during the school year and 3–6 wk in the summers following their ninth- to 11th-grade years, with each grade of 26 students coming to the Vanderbilt campus on a separate day. The research-based curriculum focuses on guiding students through the process of learning to develop questions and hypotheses, designing projects and performing analyses, and communicating results of these projects. The SSMV program has elevated the learning outcomes of students as evidenced by increased achievement scores relative to a comparison group of students; has provided a rigorous research-based science, technology, engineering, and mathematics elective curriculum that culminates in a Summer research internship; has produced 27 Intel and Siemens semifinalists and regional finalists over the past 4 yr; and has supported the development of writing and communication skills resulting in regional and national oral presentations and publications in scientific journals. PMID:26086660

The Sum of All Fears: The Effects of Math Anxiety on Math Achievement in Fifth Grade Students and the Implications for School Counselors

Science.gov (United States)

Ruff, Sarah E.; Boes, Susan R.

2014-01-01

Low math achievement is a recurring weakness in many students. Math anxiety is a persistent and significant theme to math avoidance and low achievement. Causes for math anxiety include social, cognitive, and academic factors. Interventions to reduce math anxiety are limited as they exclude the expert skills of professional school counselors to…

Students as Math Level Designers

DEFF Research Database (Denmark)

Jensen, Erik Ottar; Hanghøj, Thorkild; Schoenau-Fog, Henrik

The short paper presents preliminary findings from a pilot study on how students become motivated through design of learning games in math. The research is carried out in a Danish public school with two classes of 5th graders (N = 42 students). Over the course of two weeks, the students work...... with a design template for a runner game in the Unity 3D game design engine. The students are introduced to the concept of “flow” (Csikszentmihalyi, 1991) as a game design principle and are asked to design levels for a math runner game, which are both engaging as well as a meaningful way of learning math....... In this way, the students are positioned as “math level designers”, which means that they both have to redesign the difficulty of the runner game as well as the difficulty of the mathematical questions and possible answers....

Maths performance as a function of sex, laterality, and age of pubertal onset.

Science.gov (United States)

Sappington, John; Topolski, Richard

2005-07-01

Sex differences in math/spatial performance demand explanations. Within the biological view, the complexity and number of variables make the explanation difficult at best. Laterality and age of pubertal onset have been investigated prominently in this context but rarely considered as interactions in the same study. Some 468 college subjects with SAT MATH (SAT M) scores were divided into 12 groups defined by sex, laterality, and age (early, middle, and late) of pubertal onset. Significant main effects for sex and age of onset emerged, as did an interaction between lateral preference and pubertal onset. Generally males outperformed females. The combination of maleness, sinistrality, and early maturation was associated with high SAT M scores. Sinistrality and late maturation among females predicted very poor math performance.

Math you can really use--every day

CERN Document Server

Herzog, David Alan

2007-01-01

Math You Can Really Use--Every Day skips mind-numbing theory and tiresome drills and gets right down to basic math that helps you do real-world stuff like figuring how much to tip, getting the best deals shopping, computing your gas mileage, and more. This is not your typical, dry math textbook. With a comfortable, easygoing approach, it: Covers math you''ll need for balancing your checkbook, choosing or managing credit cards, comparing options for mortgages, insurance, and investments, and moreIncludes the basics on fractions, decimals, percentages, measurements, and geometric mathClues you in on simple shortcutsIncludes examples plus pop quizzes with answers to help you solidify your understanding Features tear-out guides you can take with you for tipping and converting measurements Want to know how much 20% off is in dollars and cents? Want to figure out how much gas is going to cost for your road trip? This is the math book you''ll really use!

Identifying Maths Anxiety in Student Nurses and Focusing Remedial Work

Science.gov (United States)

Bull, Heather

2009-01-01

Maths anxiety interferes with maths cognition and thereby increases the risk of maths errors. To initiate strategies for preventing anxiety-related errors progressing into nursing practice, this study explored the hypothesis that student nurses experience high maths anxiety in association with poor maths performance, and that high maths anxiety is…

An Event to Encourage High School Students to Pursue College Degrees in Physics and Math

Science.gov (United States)

Bukiet, Bruce; Thomas, Gordon

2003-04-01

We discuss a Math and Physics Day for high school students and teachers, with hands-on activities and seminars involving mathematics and physics. Participants also learn about careers for those who go on to major in physics and mathematics in college. The New York State Section of the APS has provided generous support for this workshop through its Outreach grant program. Approximately a dozen high schools and 100 students attend each year. The program, which runs from 9:15 AM until 2:15 PM, includes an introduction to undergraduate degree programs in Mathematics, Statistics, Optics, Actuarial Science and Applied Physics, a group physics experiment/contest, brief talks over lunch by speakers from industry who have degrees in Math or Physics, and an afternoon seminar. Teachers earn Professional Development credit.

Cognitive consistency and math-gender stereotypes in Singaporean children.

Science.gov (United States)

Cvencek, Dario; Meltzoff, Andrew N; Kapur, Manu

2014-01-01

In social psychology, cognitive consistency is a powerful principle for organizing psychological concepts. There have been few tests of cognitive consistency in children and no research about cognitive consistency in children from Asian cultures, who pose an interesting developmental case. A sample of 172 Singaporean elementary school children completed implicit and explicit measures of math-gender stereotype (male=math), gender identity (me=male), and math self-concept (me=math). Results showed strong evidence for cognitive consistency; the strength of children's math-gender stereotypes, together with their gender identity, significantly predicted their math self-concepts. Cognitive consistency may be culturally universal and a key mechanism for developmental change in social cognition. We also discovered that Singaporean children's math-gender stereotypes increased as a function of age and that boys identified with math more strongly than did girls despite Singaporean girls' excelling in math. The results reveal both cultural universals and cultural variation in developing social cognition. Copyright © 2013 Elsevier Inc. All rights reserved.

Math anxiety in Thai early adolescents: a cognitive-behavioral perspective.

Science.gov (United States)

Wangsiriwech, Tawatchai; Pisitsungkagarn, Kullaya; Jarukasemthawee, Somboon

2017-08-29

With its high prevalence and debilitating impact on students, math anxiety is well studied within the educational context. However, the problem has yet to be examined from the psychological perspective, which is necessary in order to produce a more comprehensive perspective and to pave the way for therapeutic intervention. The current study, therefore, was conducted to identify cognitive and behavioral factors relevant to the occurrence and maintenance of math anxiety. Data were collected from 300 grade 9 students (150 females and 150 males) from public and private schools in Bangkok, Thailand. Participants responded to the measures of math anxiety, negative math beliefs, negative math appraisals and math avoidance. Structural equation modeling was conducted. Model fit indices obtained consistently suggested the good fitness of the model to the data [e.g. χ2/df = 0.42, root mean square error of approximation (RMSEA) = 0.00]. Negative math beliefs, negative math appraisals and math avoidance had a significant direct effect on math anxiety. Additionally, the indirect effect of negative math appraisal was observed between negative math beliefs and math anxiety. In summary, the proposed model accounted for 84.5% of the variance in the anxiety. The findings are discussed with particular focus on implications for therapeutic intervention for math anxiety.

Avoidance temperament and social-evaluative threat in college students' math performance: a mediation model of math and test anxiety.

Science.gov (United States)

Liew, Jeffrey; Lench, Heather C; Kao, Grace; Yeh, Yu-Chen; Kwok, Oi-man

2014-01-01

Standardized testing has become a common form of student evaluation with high stakes, and limited research exists on understanding the roles of students' personality traits and social-evaluative threat on their academic performance. This study examined the roles of avoidance temperament (i.e., fear and behavioral inhibition) and evaluative threat (i.e., fear of failure and being viewed as unintelligent) in standardized math test and course grades in college students. Undergraduate students (N=184) from a large public university were assessed on temperamental fear and behavioral inhibition. They were then given 15 minutes to complete a standardized math test. After the test, students provided data on evaluative threat and their math performance (scores on standardized college entrance exam and average grades in college math courses). Results indicate that avoidance temperament was linked to social-evaluative threat and low standardized math test scores. Furthermore, evaluative threat mediated the influence of avoidance temperament on both types of math performance. Results have educational and clinical implications, particularly for students at risk for test anxiety and underperformance. Interventions targeting emotion regulation and stress management skills may help individuals reduce their math and test anxieties.

Defense AT&L. Volume 41, Number 2, Special Edition, March-April 2011

Science.gov (United States)

2011-03-01

the latest 2009 Program for International Student Assessment results released in December 2010 to see that America’s kids are not making the grade...Those days are quickly becoming numbered unless we cultivate our kids to love science and math, and hence, to have the abilities to pursue STEM...standard—based on the broad inputs of educators, elected officials, federal agencies, community and business leaders, and experts in pedagogy —is the

Experiences of graduate students: Using Cabri as a visualization tool in math education

Directory of Open Access Journals (Sweden)

Çiğdem Gül

2014-12-01

Full Text Available Through the use of graphic calculators and dynamic software running on computers and mobile devices, students can learn complex algebraic concepts. The purpose of this study is to investigate the experiences of graduate students using Cabri as a visualization tool in math education. The qualitative case study was used in this study. Five students from graduate students studying at the non-thesis math program of a university located in the Blacksea region were the participant of the study. As a dynamic learning tool, Cabri provided participants an environment where participants visually discovered the geometry. It was concluded that dynamic learning tools like Cabri has a huge potential for teaching visually the challenging concepts that students struggle to image. Further research should investigate the potential plans for integrating the use of dynamic learning software into the math curriculum

Troubled Waters: where Multiple Streams of Inequality Converge in the Math and Science Experiences of Nonprivileged Girls

Science.gov (United States)

Parrott, Laurel; Spatig, Linda; Kusimo, Patricia S.; Carter, Carolyn C.; Keyes, Marian

Water is often hardest to navigate at the confluence of individual streams. As they experience math and science, nonprivileged girls maneuver through roiling waters where the streams of gender, ethnicity, poverty, place, and teaching practices converge. Just as waters of separate streams blend, these issues - too often considered separate factors - become blended and difficult to isolate, and the resulting turbulence produces a bumpy ride. We draw on 3 years of qualitative data collected as part of an intervention program to explore the math and science experiences and perceptions of a group of ethnically diverse, low socioeconomic status rural and urban adolescent Appalachian girls. After describing program and community contexts, we explore "opportunity to leant" issues - specifically, expectations, access to content, and support networks - and examine their schooling experiences against visions of science and math reform and pressures for accountability. Data are discussed within a framework of critical educational theory.

Eye-movement patterns during nonsymbolic and symbolic numerical magnitude comparison and their relation to math calculation skills.

Science.gov (United States)

Price, Gavin R; Wilkey, Eric D; Yeo, Darren J

2017-05-01

A growing body of research suggests that the processing of nonsymbolic (e.g. sets of dots) and symbolic (e.g. Arabic digits) numerical magnitudes serves as a foundation for the development of math competence. Performance on magnitude comparison tasks is thought to reflect the precision of a shared cognitive representation, as evidence by the presence of a numerical ratio effect for both formats. However, little is known regarding how visuo-perceptual processes are related to the numerical ratio effect, whether they are shared across numerical formats, and whether they relate to math competence independently of performance outcomes. The present study investigates these questions in a sample of typically developing adults. Our results reveal a pattern of associations between eye-movement measures, but not their ratio effects, across formats. This suggests that ratio-specific visuo-perceptual processing during magnitude processing is different across nonsymbolic and symbolic formats. Furthermore, eye movements are related to math performance only during symbolic comparison, supporting a growing body of literature suggesting symbolic number processing is more strongly related to math outcomes than nonsymbolic magnitude processing. Finally, eye-movement patterns, specifically fixation dwell time, continue to be negatively related to math performance after controlling for task performance (i.e. error rate and reaction time) and domain general cognitive abilities (IQ), suggesting that fluent visual processing of Arabic digits plays a unique and important role in linking symbolic number processing to formal math abilities. Copyright © 2017 Elsevier B.V. All rights reserved.

Saxon Math. What Works Clearinghouse Intervention Report

Science.gov (United States)

What Works Clearinghouse, 2017

2017-01-01

"Saxon Math" is a curriculum for students in grades K-12. The amount of new math content students receive each day is limited and students practice concepts every day. New concepts are developed, reviewed, and practiced cumulatively rather than in discrete chapters or units. This review focuses on studies of "Saxon Math"'s…

Efficacy Expectations and Vocational Interests as Mediators between Sex and Choice of Math/Science College Majors: A Longitudinal Study

Science.gov (United States)

Lapan; Shaughnessy; Boggs

1996-12-01

A longitudinal study was conducted to test the mediational role of efficacy expectations in relation to sex differences in the choice of a math/science college major. Data on 101 students were gathered prior to their entering college and then again after they had declared a major 3 years later. Path analytic results support the importance of both math self-efficacy beliefs and vocational interest in mathematics in predicting entry into math/science majors and mediating sex differences in these decisions. Also, students who described themselves as more extroverted were less likely to take additional math classes in high school. Students with stronger artistic vocational interests chose majors less related to math and science. School personnel are strongly encouraged to develop programs that challenge the crystallization of efficacy beliefs and vocational interest patterns before students enter college.

Investigating Validity of Math 105 as Prerequisite to Math 201 among Undergraduate Students, Nigeria

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Zakariya, Yusuf F.

2016-01-01

In this study, the author examined the validity of MATH 105 as a prerequisite to MATH 201. The data for this study was extracted directly from the examination results logic of the university. Descriptive statistics in form of correlations and linear regressions were used to analyze the obtained data. Three research questions were formulated and…

The Effectiveness of Verbal Self-Instruction Training on Math Problem-Solving of Intellectually Disabled Students

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Masoume Pourmohamadreza-Tajrishi

2015-12-01

Full Text Available Objectives: The study was aimed to determine the effectiveness of verbal self-instruction training on math problem-solving of intellectually disabled boy students in Tehran Provinces. Methods: The study was a semi-experimental with pre-test and post-test design with control group. Thirty intellectually disabled boy students were selected randomly through cluster sampling method from 9th grade students. They were assigned to experimental and control group equally. Experimental group participated in 8 sessions and were trained by verbal self-instruction program but control group did not. All students answered to a teacher-made math problem-solving test before and after the training sessions. Data were analyzed by analysis of covariance. Results: Findings showed that there was a significant difference between two groups according to math problem-solving performance (P<0.002. Discussion: It can conclude that verbal self-instruction training probably leads to promote math problem-solving performance of intellectually disabled boy students.

Maths and physics, a love story

CERN Multimedia

CERN Bulletin

Denis Guedj brings one of his plays to CERN. The writer and mathematician is working on a new novel in which LHC research figures prominently. In Denis Guedj’s plays, the number One is a self-absorbed character, Zero is not to be underestimated, and the Line Segment wants the Curve to straighten out. In his novels, mathematical entities come to life—and turn out to have exciting stories to tell. Denis Guedj is a mathematician and professor of the history of science and epistemology at the University of Paris VIII; over the years he has also indulged a personal passion for bringing maths to the stage. His novels and plays reach a broad public. Among his notable successes is a crime thriller called “The Parrot’s Theorem”, which has been translated into 20 languages. The popularity of his work owes much to the author’s refusal to be didactic. “If it works, it’s because I don’t try to teach maths,” he explains....

Program pseudo-random number generator for microcomputers

International Nuclear Information System (INIS)

Ososkov, G.A.

1980-01-01

Program pseudo-random number generators (PNG) intended for the test of control equipment and communication channels are considered. In the case of 8-bit microcomputers it is necessary to assign 4 words of storage to allocate one random number. The proposed economical algorithms of the random number generation are based on the idea of the ''mixing'' of such quarters of the preceeding random number to obtain the next one. Test results of the PNG are displayed for two such generators. A FORTRAN variant of the PNG is presented along with a program realizing the PNG made on the base of the INTEL-8080 autocode

Math Branding in a Community College Library

Science.gov (United States)

Brantz, Malcolm; Sadowski, Edward B.

2010-01-01

As a strategy to promote the Arapahoe Community College Library's collections and services, the Library undertook to brand itself as a math resource center. In promoting one area of expertise, math was selected to help address the problem of a large portion of high school graduates' inability to work at college-level math. A "Math…

Optimality Conditions for Fuzzy Number Quadratic Programming with Fuzzy Coefficients

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Xue-Gang Zhou

2014-01-01

Full Text Available The purpose of the present paper is to investigate optimality conditions and duality theory in fuzzy number quadratic programming (FNQP in which the objective function is fuzzy quadratic function with fuzzy number coefficients and the constraint set is fuzzy linear functions with fuzzy number coefficients. Firstly, the equivalent quadratic programming of FNQP is presented by utilizing a linear ranking function and the dual of fuzzy number quadratic programming primal problems is introduced. Secondly, we present optimality conditions for fuzzy number quadratic programming. We then prove several duality results for fuzzy number quadratic programming problems with fuzzy coefficients.

Firefighter Math - a web-based learning tool

Science.gov (United States)

Dan Jimenez

2010-01-01

Firefighter Math is a web based interactive resource that was developed to help prepare wildland fire personnel for math based training courses. The website can also be used as a refresher for fire calculations including slope, flame length, relative humidity, flow rates, unit conversion, etc. The website is designed to start with basic math refresher skills and...

The Development and Validation of a Revised Version of the Math Anxiety Scale for Young Children

Science.gov (United States)

Ganley, Colleen M.; McGraw, Amanda L.

2016-01-01

Although there is an extensive amount of research that examines the relation between math anxiety and math performance in adolescents and adults, little work has focused on this relation in young children. Recently more attention has been paid to the early development of math anxiety, and new measures have been created for use with this age group. In the present study, we report on the development and validation of a revised version of the Math Anxiety Scale for Young Children (MASYC; Harari et al., 2013). We conducted cognitive interviews with the 12 MASYC items with nine children and then administered the MASYC and five newly-developed items to 296 first-, second- and third-grade children. Results from cognitive interviews show that three of the items from the original scale were being systematically misinterpreted by young children. We present a revised measure (the MASYC-R) consisting of 13 items (eight original, five newly-developed) that shows strong evidence for reliability and validity. Results also showed that a small, but meaningful, proportion of children at this age show signs of high math anxiety. Validity of the MASYC-R was supported through correlations with a number of other factors, including general anxiety, math performance, and math attitudes. In addition, results suggest that a substantial proportion of the variance in math anxiety can be explained from these other variables together. The findings suggest that the MASYC-R is appropriate for use with young children and can help researchers to answer important questions about the nature and development of math anxiety at this age. PMID:27605917

The Development and Validation of a Revised Version of the Math Anxiety Scale for Young Children

Directory of Open Access Journals (Sweden)

Colleen M Ganley

2016-08-01

Full Text Available Although there is an extensive amount of research that examines the relation between math anxiety and math performance in adolescents and adults, little work has focused on this relation in young children. Recently more attention has been paid to the early development of math anxiety, and new measures have been created for use with this age group. In the present study, we report on the development and validation of a revised version of the Math Anxiety Scale for Young Children (MASYC; Harari, Vukovic, & Bailey, 2013. We conducted cognitive interviews with the 12 MASYC items with 9 children and then administered the MASYC and five newly-developed items to 296 first-, second- and third-grade children. Results from cognitive interviews show that three of the items from the original scale were being systematically misinterpreted by young children. We present a revised measure (the MASYC-R consisting of 13 items (eight original, five newly-developed that shows strong evidence for reliability and validity. Results also showed that a small, but meaningful, proportion of children at this age show signs of high math anxiety. Validity of the MASYC-R was supported through correlations with a number of other factors, including general anxiety, math performance, and math attitudes. In addition, results suggest that a substantial proportion of the variance in math anxiety can be explained from these other variables together. The findings suggest that the MASYC-R is appropriate for use with young children and can help researchers to answer important questions about the nature and development of math anxiety at this age.

The Development and Validation of a Revised Version of the Math Anxiety Scale for Young Children.

Science.gov (United States)

Ganley, Colleen M; McGraw, Amanda L

2016-01-01

Although there is an extensive amount of research that examines the relation between math anxiety and math performance in adolescents and adults, little work has focused on this relation in young children. Recently more attention has been paid to the early development of math anxiety, and new measures have been created for use with this age group. In the present study, we report on the development and validation of a revised version of the Math Anxiety Scale for Young Children (MASYC; Harari et al., 2013). We conducted cognitive interviews with the 12 MASYC items with nine children and then administered the MASYC and five newly-developed items to 296 first-, second- and third-grade children. Results from cognitive interviews show that three of the items from the original scale were being systematically misinterpreted by young children. We present a revised measure (the MASYC-R) consisting of 13 items (eight original, five newly-developed) that shows strong evidence for reliability and validity. Results also showed that a small, but meaningful, proportion of children at this age show signs of high math anxiety. Validity of the MASYC-R was supported through correlations with a number of other factors, including general anxiety, math performance, and math attitudes. In addition, results suggest that a substantial proportion of the variance in math anxiety can be explained from these other variables together. The findings suggest that the MASYC-R is appropriate for use with young children and can help researchers to answer important questions about the nature and development of math anxiety at this age.

Order of Administration of Math and Verbal Tests: An Ecological Intervention to Reduce Stereotype Threat on Girls' Math Performance

Science.gov (United States)

Smeding, Annique; Dumas, Florence; Loose, Florence; Régner, Isabelle

2013-01-01

In 2 field experiments, we relied on the very features of real testing situations--where both math and verbal tests are administered--to examine whether order of test administration can, by itself, create vs. alleviate stereotype threat (ST) effects on girls' math performance. We predicted that taking the math test before the verbal test would be…

"Math Anxiety" Explored in Studies

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Sparks, Sarah D.

2011-01-01

Math problems make more than a few students--and even teachers--sweat, but new brain research is providing insights into the earliest causes of the anxiety so often associated with mathematics. Experts argue that "math anxiety" can bring about widespread, intergenerational discomfort with the subject, which could lead to anything from fewer…

A Motivational Technique for Business Math

Science.gov (United States)

Voelker, Pamela

1977-01-01

The author suggests the use of simulation and role playing as a method of motivating students in business math. Examples of career-oriented business math simulation games are counting change, banking, payrolls, selling, and shopping. (MF)

The long-term impact of a math, science and technology program on grade school girls

Science.gov (United States)

Sullivan, Sandra Judd

The purpose of this study was to determine if a math, science, and technology intervention program improved grade school girls' attitudes and stereotypes toward science and scientists, as well as participation levels in science-related activities, two years after their participating in the program. The intervention program evaluated was Operation SMART, developed by Girls Incorporated. Participants were recruited from the 6th and 7th grades from two public middle schools in Northern California. One hundred twenty-seven girls signed up for the survey and were assigned to either the SMART group (previous SMART participants) or Non-SMART group (no previous experience with SMART). The survey consisted of five parts: (1) a background information sheet, (2) the Modified Attitudes Toward Science Inventory, (3) the What Do You Do? survey, (4) the Draw-A-Scientist Test-Revised, and (5) a career interests and role models/influencer survey. Results indicated that there were no significant differences between the SMART and Non-SMART groups on any of the test measures. However, middle school attended did have a significant effect on the outcome variables. Girls from Middle School A reported more positive attitudes toward science, while girls from Middle School B reported higher participation levels in extracurricular science activities. Possible explanations for these findings suggest too much time had passed between treatment effect and time of measurement as well as the strong influence of teacher and school environment on girls' attitudes and stereotypes. Recommendations for future research are discussed.

What Math Teachers Need Most

Science.gov (United States)

Nelson, Barbara Scott; Sassi, Annette

2007-01-01

The combination of new instructional methods and new accountability pressures puts many in a quandary in evaluating math instruction. There is much for principals to learn about how and under what conditions new instructional methods work in math classrooms, how to support teachers as they develop new instructional skills, and how to integrate a…

Developing Mathematical Resilience of Prospective Math Teachers

Science.gov (United States)

Ariyanto, L.; Herman, T.; Sumarmo, U.; Suryadi, D.

2017-09-01

Prospective math teachers need to develop positive adaptive attitudes toward mathematics that will enable them to continue learning despite having to deal with obstacles and difficulties. This research focuses on the resilience improvement of the prospective mathematic teachers after being treated using problem-based learning based on their basic knowledge on mathematic and their overall knowledge on math. This research used only one group for pre-test and post-test. The result of this research shows that there is improvement on prospective teachers’ resilience after they were given treatment using problem-based learning. One of the factors causing the resilience improvement of the prospective mathematic teachers is the instructions on students’ work sheet. In the instructions, stud ents were asked to write difficulties in solving math problems as well as write down the solution they take to overcome them. This research can be used as a reference for other researchers who want to do the same research related on students’ resiliency o n math and or math lecturers to improve the resilience of prospective teachers to be resilient teachers on math in the future.

Does Geographic Setting Alter the Roles of Academically Supportive Factors? African American Adolescents' Friendships, Math Self-Concept, and Math Performance

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Jones, Martin H.; Irvin, Matthew J.; Kibe, Grace W.

2012-01-01

The study is one of few to examine how living in rural, suburban, or urban settings may alter factors supporting African Americans adolescents' math performance. The study examines the relationship of math self-concept and perceptions of friends' academic behaviors to African American students' math performance. Participants (N = 1,049) are…

Math Learning Begins at Home

Science.gov (United States)

Eason, Sarah H.; Levine, Susan C.

2017-01-01

Children demonstrate gaps in the math knowledge that they possess by the time they begin school, and these gaps have been found to predict long-term outcomes not only in math but also in reading. Consequently, it is important to identify what accounts for these early differences and how they can be addressed to ensure that all children enter…

Basic math and pre-algebra practice problems for dummies

CERN Document Server

Zegarelli, Mark

2013-01-01

1001 Basic Math & Pre- Algebra Practice Problems For  Dummies   Practice makes perfect-and helps deepen your understanding of basic math and pre-algebra 1001 Basic Math & Pre-Algebra Practice Problems For Dummies, with free access to online practice problems, takes you beyond the instruction and guidance offered in Basic Math & Pre-Algebra For Dummies, giving you 1,001 opportunities to practice solving problems from the major topics in your math course. You begin with some basic arithmetic practice, move on to fractions, decimals, and per

Fun with maths and physics: brain teasers tricks illusions

CERN Document Server

Perelman, Yakov

2013-01-01

Fun with Maths and Physics details a large number of intriguing physics experiments, entertaining mathematics problems, and amazing optical illusions.The book’s main objective is to arouse the reader’s scientific imagination, teach him to think in a scientific manner, and create in his mind a variety of associations between physical knowledge and a large number of real daily life observations.Immensely instructive and entertaining, it has been one of the best sellers in Russia during the first part of last century.

WWC Review of the Report "The Effects of Cognitive Strategy Instruction on Math Problem Solving of Middle School Students of Varying Ability." What Works Clearinghouse Single Study Review

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What Works Clearinghouse, 2014

2014-01-01

A recent study, "The Effects of Cognitive Strategy Instruction on Math Problem Solving of Middle School Students of Varying Ability," examined the effectiveness of "Solve It!," a program intended to improve the problem-solving skills of seventh-grade math students. During the program, students are taught cognitive strategies of…

Primary maths anyone can feed skittles to sharks

CERN Document Server

Tiley-Nunn, Nick

2014-01-01

Primary maths is stereotypically loved by a few hairy oddballs, tolerated by most sane primary practitioners; loathed by many. With the right approach, however; the right mindset and sense of the impossible being achievable, maths can be moulded into the diamond in the rough of the primary curriculum. Enter Nick Tiley-Nunn: Britain's most imaginative, most exciting primary maths specialist. Over years of practice he has generated ideas about the teaching of maths that are so distinct, so far out and so utterly brilliant that any primary teacher struggling to grasp the nettle of teaching long division will emerge from communing with his ideas not just with some clichéd sense that ‘maths can be fun', but that it can be brilliant, life-enhancing and truly hilarious. This book presents ideas for primary maths teaching so wildly creative and so full of the joy of life that any classroom of kids will be grateful you read it.

Specific Cognitive Predictors of Early Math Problem Solving

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Decker, Scott L.; Roberts, Alycia M.

2015-01-01

Development of early math skill depends on a prerequisite level of cognitive development. Identification of specific cognitive skills that are important for math development may not only inform instructional approaches but also inform assessment approaches to identifying children with specific learning problems in math. This study investigated the…

The Aftermath of Remedial Math: Investigating the Low Rate of Certificate Completion among Remedial Math Students

Science.gov (United States)

Bahr, Peter Riley

2013-01-01

Nationally, a majority of community college students require remedial assistance with mathematics, but comparatively few students who begin the remedial math sequence ultimately complete it and achieve college-level math competency. The academic outcomes of students who begin the sequence but do not complete it are disproportionately unfavorable:…

Math word problems for dummies

CERN Document Server

Sterling, Mary Jane

2008-01-01

Covers percentages, probability, proportions, and moreGet a grip on all types of word problems by applying them to real lifeAre you mystified by math word problems? This easy-to-understand guide shows you how to conquer these tricky questions with a step-by-step plan for finding the right solution each and every time, no matter the kind or level of problem. From learning math lingo and performing operations to calculating formulas and writing equations, you''ll get all the skills you need to succeed!Discover how to: * Translate word problems into plain English* Brush up on basic math skills* Plug in the right operation or formula* Tackle algebraic and geometric problems* Check your answers to see if they work

Business math for dummies

CERN Document Server

Sterling, Mary Jane

2008-01-01

Now, it is easier than ever before to understand complex mathematical concepts and formulas and how they relate to real-world business situations. All you have to do it apply the handy information you will find in Business Math For Dummies. Featuring practical practice problems to help you expand your skills, this book covers topics like using percents to calculate increases and decreases, applying basic algebra to solve proportions, and working with basic statistics to analyze raw data. Find solutions for finance and payroll applications, including reading financial statements, calculating wages and commissions, and strategic salary planning. Navigate fractions, decimals, and percents in business and real estate transactions, and take fancy math skills to work. You'll be able to read graphs and tables and apply statistics and data analysis. You'll discover ways you can use math in finance and payroll investments, banking and payroll, goods and services, and business facilities and operations. You'll learn ho...

A Correlation of Community College Math Readiness and Student Success

Science.gov (United States)

Brown, Jayna Nicole

Although traditional college students are more prepared for college-level math based on college admissions tests, little data have been collected on nontraditional adult learners. The purpose of this study was to investigate relationships between math placement tests and community college students' success in math courses and persistence to degree or certificate completion. Guided by Tinto's theory of departure and student retention, the research questions addressed relationships and predictability of math Computer-adaptive Placement Assessment and Support System (COMPASS) test scores and students' performance in math courses, persistence in college, and degree completion. After conducting correlation and regression analyses, no significant relationships were identified between COMPASS Math test scores and students' performance (n = 234) in math courses, persistence in college, or degree completion. However, independent t test and chi-squared analyses of the achievements of college students who tested into Basic Math (n = 138) vs. Introduction to Algebra (n = 96) yielded statistically significant differences in persistence (p = .039), degree completion (p college students' math competencies and degree achievement.

Carnegie Math Pathways 2015-2016 Impact Report: A Five-Year Review. Carnegie Math Pathways Technical Report

Science.gov (United States)

Hoang, Hai; Huang, Melrose; Sulcer, Brian; Yesilyurt, Suleyman

2017-01-01

College math is a gateway course that has become a constraining gatekeeper for tens of thousands of students annually. Every year, over 500,000 students fail developmental mathematics, preventing them from achieving their college and career goals. The Carnegie Math Pathways initiative offers students an alternative. It comprises two Pathways…

Lowell Public Library, Final Performance Report for Library Services and Construction Act (LSCA) Title VI, Library Literacy Program.

Science.gov (United States)

Maravilla, Virginia

The Lowell Public Library (Indiana) Adult Literacy Program expanded literacy efforts of the library and its volunteer tutors by increasing the program enrollment numbers of the functionally illiterate English-speaking, English as a Second Language (ESL), migrant workers, and Basic Math students; assisted students in achieving their stated goals in…

Preschool Math Exposure in Private Center-Based Care and Low-SES Children's Math Development

Science.gov (United States)

Bachman, Heather J.; Degol, Jessica L.; Elliott, Leanne; Scharphorn, Laura; El Nokali, Nermeen E.; Palmer, Kalani M.

2018-01-01

Research Findings: The present study examined the amount of exposure to math activities that children of low socioeconomic status (SES) encounter in private community-based preschool classrooms and whether greater time in these activities predicted higher math skills. Three cohorts of 4- to 5-year-old children were recruited from 30 private…

Neural correlates of math anxiety – an overview and implications

OpenAIRE

Artemenko, Christina; Daroczy, Gabriella; Nuerk, Hans-Christoph

2015-01-01

Math anxiety is a common phenomenon which can have a negative impact on numerical and arithmetic performance. However, so far little is known about the underlying neurocognitive mechanisms. This mini review provides an overview of studies investigating the neural correlates of math anxiety which provide several hints regarding its influence on math performance: while behavioral studies mostly observe an influence of math anxiety on difficult math tasks, neurophysiological studies show that pr...

Using the Intel Math Kernel Library on Peregrine | High-Performance

Science.gov (United States)

Computing | NREL the Intel Math Kernel Library on Peregrine Using the Intel Math Kernel Library on Peregrine Learn how to use the Intel Math Kernel Library (MKL) with Peregrine system software. MKL architectures. Core math functions in MKL include BLAS, LAPACK, ScaLAPACK, sparse solvers, fast Fourier

The impact of metacognitive strategies and self-regulating processes of solving math word problems

Directory of Open Access Journals (Sweden)

Eda Vula

2017-09-01

Full Text Available This empirical study investigates the impact of metacognitive strategies and self-regulating processes in learners’ achievement on solving math word problems. It specifically analyzes the impact of the linguistic factor and the number of steps and arithmetical operations that learners need to apply during the process of solving math word problems. Two hundred sixty-three learners, of three classes of third graders (N=130 and four classes of fifth graders (N=133 of the elementary cycle from two urban schools of Kosovo, participated in the study. Almost half of the total number of the third and fifth-graderswere exposed to metacognitive instruction. The rest of the learners were included in control classes in which they performed tasks without having been given any specific guidance, based exclusively on traditional methods and respective textbooks. All the learners were tested in math word problems twice, before the intervention and after it. Research findings have shown that metacognitive strategies and self-regulating processes that learners use to control their actions, to reason, and to reflect, are one of the main resources that influence their success in solving a math word problem. Although the difference between the pre-test and the post-test resultswas statistically significant solely with the fifth-grade experimental classes, yet an improved performance was observed in third-grade experimental learners’ classes compared to control classes. Theoretical and practical implications of the research are discussed in the end of the study.

Teachers and Counselors: Building Math Confidence in Schools

Directory of Open Access Journals (Sweden)

Joseph M. Furner

2017-08-01

Full Text Available Mathematics teachers need to take on the role of counselors in addressing the math anxious in today's math classrooms. This paper looks at the impact math anxiety has on the future of young adults in our high-tech society. Teachers and professional school counselors are encouraged to work together to prevent and reduce math anxiety. It is important that all students feel confident in their ability to do mathematics in an age that relies so heavily on problem solving, technology, science, and mathematics. It really is a school's obligation to see that their students value and feel confident in their ability to do math, because ultimately a child's life: all decisions they will make and careers choices may be determined based on their disposition toward mathematics. This paper raises some interesting questions and provides some strategies (See Appendix A for teachers and counselors for addressing the issue of math anxiety while discussing the importance of developing mathematically confident young people for a high-tech world of STEM.

Metacognitive awareness and math anxiety in gifted students

Directory of Open Access Journals (Sweden)

Hakan Sarıcam

2015-12-01

Full Text Available The basic purpose of this study has been to examine the relationships between metacognitive awareness and maths anxiety in gifted students. The second aim was to compare with gifted and non-gifted students’ metacognitive awareness and maths anxiety levels. The participants were 300 (150 gifted, 150 non-gifted volunteer secondary school students in Turkey. The mean age of the participants was 12.56 years ranging from 12 to 13 years. For gathering data, the Maths Anxiety Scale for Elementary School Students and The Metacognitive Awareness Inventory for Children were used. For analysing the data, Spearman correlation analysis, the Mann Whitney U test, and linear regression analysis were used. According to the findings: firstly, gifted students’ metacognitive awareness scores were higher than those of non-gifted students. On the other hand, non-gifted students’ maths anxiety levels were higher than those of gifted students. Secondly, there was negative correlation between metacognitive awareness and math anxiety. Finally, the findings of linear regression analysis indicated that metacognitive awareness is explained by 48% total variance of maths anxiety in gifted students.

Validation Study of the Abbreviated Math Anxiety Scale: Spanish Adaptation

Science.gov (United States)

Brown, Jennifer L.; Sifuentes, Lucía Macías

2016-01-01

With growing numbers of Hispanic students enrolling in post-secondary school, there is a need to increase retention and graduation rates. The purpose of this study was to validate the Spanish adaptation of the Abbreviated Math Anxiety Scale (AMAS). The AMAS was translated and administered to 804 freshman students at a post-secondary institution in…

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

Science.gov (United States)

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

2017-01-01

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

Briefing paper for universities on Core Maths

OpenAIRE

Glaister, Paul

2015-01-01

This briefing paper outlines the rationale for and development of the new Core Maths qualifications, the characteristics of Core Maths, and why Core Maths is important for higher education. It is part of a communication to university vice-chancellors from the Department for Business, Innovation and Skills (BIS) comprising this paper and a joint Ministerial letter from Jo Johnson, Minister of State for Universities and Science in BIS, and Nick Gibb, Minister of State for Schools in the Departm...

Crossing the Gender Gap: A Study of Female Participation and Performance in Advanced Maths and Sciences

Science.gov (United States)

Haseltine, Jessica

2006-10-01

A statistical analysis of enrollment in AP maths and sciences in the Abilene Independent School District, between 2000 and 2005, studied the relationship between gender, enrollment, and performance. Data suggested that mid-scoring females were less likely than their male counterparts to enroll in AP-level courses. AISD showed higher female : male score ratios than national and state averages but no improvement in enrollment comparisons. Several programs are suggested to improve both participation and performance of females in upper-level math and science courses.

Metacognition and Confidence: Comparing Math to Other Academic Subjects

Directory of Open Access Journals (Sweden)

Shanna eErickson

2015-06-01

Full Text Available Two studies addressed student metacognition in math, measuring confidence accuracy about math performance. Underconfidence would be expected in light of pervasive math anxiety. However, one might alternatively expect overconfidence based on previous results showing overconfidence in other subject domains. Metacognitive judgments and performance were assessed for biology, literature, and mathematics tests. In Study 1, high school students took three different tests and provided estimates of their performance both before and after taking each test. In Study 2, undergraduates similarly took three shortened SAT II Subject Tests. Students were overconfident in predicting math performance, indeed showing greater overconfidence compared to other academic subjects. It appears that both overconfidence and anxiety can adversely affect metacognitive ability and can lead to math avoidance. The results have implications for educational practice and other environments that require extensive use of math.

Childcare Quality and Preschoolers' Math Development

Science.gov (United States)

Choi, Ji Young; Dobbs-Oates, Jennifer

2014-01-01

This study examined the associations between four types of childcare quality (i.e. teacher-child closeness, frequency of math-related activities, and teacher education and experience) and preschoolers' residualised gain in math over the course of six months. Additionally, potential interactions between teacher-child closeness and other indicators…

Culturally relevant science: An approach to math science education for Hispanics

Energy Technology Data Exchange (ETDEWEB)

Montellano, B.O. de

1996-11-14

This report describes later stages of a program to develop culturally relevant science and math programs for Hispanic students. Part of this effort was follow-up with 17 teachers who participated in early stages of the program. Response was not very good. Included with the report is a first draft effort for curriculum materials which could be used as is in such a teaching effort. Several of the participating teachers were invited to a writing workshop, where lesson plans were drafted, and critiqued and following rework are listed in this publication. Further work needs to be completed and is ongoing.

Math Anxiety and the "Math Gap": How Attitudes toward Mathematics Disadvantages Students as Early as Preschool

Science.gov (United States)

Geist, Eugene

2015-01-01

This study was conducted to examine the attitudes of Head Start teachers toward mathematics and how it may influence how and what they teach in the classroom. In general, the findings of this study can be summarized as this: 1) Math anxiety affects how teachers assess their ability at mathematics. The more math anxiety they report, the lower they…

Supporting English Language Learners in Math Class, Grades 6-8

Science.gov (United States)

Melanese, Kathy; Chung, Luz; Forbes, Cheryl

2011-01-01

This new addition to Math Solutions "Supporting English Language Learners in Math Class series" offers a wealth of lessons and strategies for modifying grades 6-8 instruction. Section I presents an overview of teaching math to English learners: the research, the challenges, the linguistic demands of a math lesson, and specific strategies and…

Measurement of Ratios of <math display='inline'>νμmath> Charged-Current Cross Sections on C, Fe, and Pb to CH at Neutrino Energies 2–20 GeV

Energy Technology Data Exchange (ETDEWEB)

Tice, B. G.; Datta, M.; Mousseau, J.; Aliaga, L.; Altinok, O.; Barrios Sazo, M. G.; Betancourt, M.; Bodek, A.; Bravar, A.; Brooks, W. K.; Budd, H.; Bustamante, M. J.; Butkevich, A.; Martinez Caicedo, D. A.; Castromonte, C. M.; Christy, M. E.; Chvojka, J.; da Motta, H.; Devan, J.; Dytman, S. A.; Díaz, G. A.; Eberly, B.; Felix, J.; Fields, L.; Fiorentini, G. A.; Gago, A. M.; Gallagher, H.; Gran, R.; Harris, D. A.; Higuera, A.; Hurtado, K.; Jerkins, M.; Kafka, T.; Kordosky, M.; Kulagin, S. A.; Le, T.; Maggi, G.; Maher, E.; Manly, S.; Mann, W. A.; Marshall, C. M.; Martin Mari, C.; McFarland, K. S.; McGivern, C. L.; McGowan, A. M.; Miller, J.; Mislivec, A.; Morfín, J. G.; Muhlbeier, T.; Naples, D.; Nelson, J. K.; Norrick, A.; Osta, J.; Palomino, J. L.; Paolone, V.; Park, J.; Patrick, C. E.; Perdue, G. N.; Rakotondravohitra, L.; Ransome, R. D.; Ray, H.; Ren, L.; Rodrigues, P. A.; Savage, D. G.; Schellman, H.; Schmitz, D. W.; Simon, C.; Snider, F. D.; Solano Salinas, C. J.; Tagg, N.; Valencia, E.; Velásquez, J. P.; Walton, T.; Wolcott, J.; Zavala, G.; Zhang, D.; Ziemer, B. P.

2014-06-01

depletion at low math display="inline">xmath> and enhancement at large math display="inline">xmath>. Both become more pronounced as the nucleon number of the target nucleus increases. The data are not reproduced by GENIE, a conventional neutrino-nucleus scattering simulation, or by the alternative models for the nuclear dependence of inelastic scattering that are considered.

News Teaching: The epiSTEMe project: KS3 maths and science improvement Field trip: Pupils learn physics in a stately home Conference: ShowPhysics welcomes fun in Europe Student numbers: Physics numbers increase in UK Tournament: Physics tournament travels to Singapore Particle physics: Hadron Collider sets new record Astronomy: Take your classroom into space Forthcoming Events

Science.gov (United States)

2010-05-01

Teaching: The epiSTEMe project: KS3 maths and science improvement Field trip: Pupils learn physics in a stately home Conference: ShowPhysics welcomes fun in Europe Student numbers: Physics numbers increase in UK Tournament: Physics tournament travels to Singapore Particle physics: Hadron Collider sets new record Astronomy: Take your classroom into space Forthcoming Events

A Study of the Experience of Female African-American Seventh Graders in a Science, Technology, Engineering, and Math (STEM) Afterschool Program

Science.gov (United States)

Hinds, Beverley Fiona

The purpose of this qualitative study was to determine what inspires or leads seventh-grade African-American girls toward an interest in STEM, to characterize and describe the context of an out-of-school STEM learning environment, explore the impact on the seventh- grade African-American girls who participated in the program as it relates to individual STEM identity, and identify personal and academic experiences of seventh-grade African- American girls that contribute to the discouragement or pursuit of science and math-related academic pathways and careers. Notable findings in this study included the following: 1. Participants were interested in STEM and able to identify both external and internal influences that supported their involvement and interest in STEM activities. External influences expanded and elevated exposure to STEM experiences. 2. The MJS program provided an opportunity for participants to overcome challenges related to science and math knowledge and skills in school. 3. The MJS program increased levels of interest in STEM for the participants. 4. All participants increased their capacity to demonstrate increased knowledge in STEM content as a result of the learning experiences within the MJS program, and participants transferred this knowledge to experiences outside of the program including school. 5. The STEM learning environment provided multiple opportunities for participants to meet high expectation and access to engaging activities within a supportive, well-managed setting. 6. The MJS program participants demonstrated behaviors related to building a STEM identity through the components described by Carlone and Johnson (2007), including recognition-internal and external acknowledgement of being a STEM person; competence-demonstrating an understanding of STEM content; and performance-publically exhibiting STEM knowledge and skills. The findings in this study suggested that African-American seventh-grade girls interested in STEM are inspired

Magic SEED? A New Approach to Teaching Math Produces Some Eye-Popping Results.

Science.gov (United States)

Shore, Debra

1991-01-01

Project SEED is a successful program that teaches elementary school students advanced math. Specialists conduct 45-minute lessons, asking questions designed to help students discover mathematical logic. Students respond with a system of SEED hand signals which allow everyone to participate and be monitored at once. (SM)

Music by the numbers from Pythagoras to Schoenberg

CERN Document Server

Maor, Eli

2018-01-01

Music is filled with mathematical elements, the works of Bach are often said to possess a math-like logic, and Igor Stravinsky said "musical form is close to mathematics," while Arnold Schönberg, Iannis Xenakis, and Karlheinz Stockhausen went further, writing music explicitly based on mathematical principles. Yet Eli Maor argues that music has influenced math at least as much as math has influenced music. Starting with Pythagoras, proceeding through the work of Schönberg, and ending with contemporary string theory, Music by the Numbers tells a fascinating story of composers, scientists, inventors, and eccentrics who played a role in the age-old relationship between music, mathematics, and the sciences, especially physics and astronomy. Music by the Numbers explores key moments in this history, particularly how problems originating in music have inspired mathematicians for centuries. Perhaps the most famous of these problems is the vibrating string, which pitted some of the greatest mathematicians of the ei...

Developing Science and Mathematics Teacher Leaders through a Math, Science & Technology Initiative

Science.gov (United States)

Green, André M.; Kent, Andrea M.

2016-01-01

This study explores the effects of a professional development teacher leadership training program on the pedagogical and content development of math and science teacher leaders at the elementary level. The study is qualitative in nature, and the authors collected data using the online survey instrument Survey Monkey. The major implications of the…

Math achievement is important, but task values are critical, too: examining the intellectual and motivational factors leading to gender disparities in STEM careers

Science.gov (United States)

Wang, Ming-Te; Degol, Jessica; Ye, Feifei

2015-01-01

Although young women now obtain higher course grades in math than boys and are just as likely to be enrolled in advanced math courses in high school, females continue to be underrepresented in some Science, Technology, Engineering, and Mathematics (STEM) occupations. This study drew on expectancy-value theory to assess (1) which intellectual and motivational factors in high school predict gender differences in career choices and (2) whether students’ motivational beliefs mediated the pathway of gender on STEM career via math achievement by using a national longitudinal sample in the United States. We found that math achievement in 12th grade mediated the association between gender and attainment of a STEM career by the early to mid-thirties. However, math achievement was not the only factor distinguishing gender differences in STEM occupations. Even though math achievement explained career differences between men and women, math task value partially explained the gender differences in STEM career attainment that were attributed to math achievement. The identification of potential factors of women’s underrepresentation in STEM will enhance our ability to design intervention programs that are optimally tailored to female needs to impact STEM achievement and occupational choices. PMID:25741292