The Influence of Cognitive Abilities on Mathematical Problem Solving Performance

Download The Influence of Cognitive Abilities on Mathematical Problem Solving Performance PDF Online Free

Author :
Publisher :
ISBN 13 :
Total Pages : 234 pages
Book Rating : 4.:/5 (852 download)

DOWNLOAD NOW!


Book Synopsis The Influence of Cognitive Abilities on Mathematical Problem Solving Performance by : Abdulkadir Bahar

Download or read book The Influence of Cognitive Abilities on Mathematical Problem Solving Performance written by Abdulkadir Bahar and published by . This book was released on 2013 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: Problem solving has been a core theme in education for several decades. Educators and policy makers agree on the importance of the role of problem solving skills for school and real life success. A primary purpose of this study was to investigate the influence of cognitive abilities on mathematical problem solving performance of students. The author investigated this relationship by separating performance in open-ended and closed situations. The second purpose of this study was to explore how these relationships were different or similar in boys and girls. No significant difference was found between girls and boys in cognitive abilities including general intelligence, general creativity, working memory, mathematical knowledge, reading ability, mathematical problem solving performance, verbal ability, quantitative ability, and spatial ability. After controlling for the influence of gender, the cognitive abilities explained 51.3% (ITBS) and 53.3% (CTBS) of the variance in MPSP in closed problems as a whole. Mathematical knowledge and general intelligence were found to be the only variables that contributed significant variance to MPSP in closed problems. Similarly, after controlling for the influence of gender, the cognitive abilities explained 51.3% (ITBS) and 46.3% (CTBS) of the variance in mathematical problem solving performance in open-ended problems. General creativity and verbal ability were found to be the only variables that contributed significant variance to MPSP in open problems. The author concluded that closed and open-ended problems require different cognitive abilities for reaching correct solutions. In addition, when combining all of these findings the author proposed that the relationship between cognitive abilities and problem solving performance may vary depending on the structure (type) and content of a problem. The author suggested that the content of problems that are used in instruments should be analyzed carefully before using them as a measure of problem solving performance.

Complex Problem Solving

Download Complex Problem Solving PDF Online Free

Author :
Publisher : Psychology Press
ISBN 13 : 1317781392
Total Pages : 364 pages
Book Rating : 4.3/5 (177 download)

DOWNLOAD NOW!


Book Synopsis Complex Problem Solving by : Peter A. Frensch

Download or read book Complex Problem Solving written by Peter A. Frensch and published by Psychology Press. This book was released on 2014-04-04 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents a state-of-the-science review of the most promising current European research -- and its historic roots of research -- on complex problem solving (CPS) in Europe. It is an attempt to close the knowledge gap among American scholars regarding the European approach to understanding CPS. Although most of the American researchers are well aware of the fact that CPS has been a very active research area in Europe for quite some time, they do not know any specifics about even the most important research. Part of the reason for this lack of knowledge is undoubtedly the fact that European researchers -- for the most part -- have been rather reluctant to publish their work in English-language journals. The book concentrates on European research because the basic approach European scholars have taken to studying CPS is very different from one taken by North American researchers. Traditionally, American scholars have been studying CPS in "natural" domains -- physics, reading, writing, and chess playing -- concentrating primarily on exploring novice-expert differences and the acquisition of a complex skill. European scholars, in contrast, have been primarily concerned with problem solving behavior in artificially generated, mostly computerized, complex systems. While the American approach has the advantage of high external validity, the European approach has the advantage of system variables that can be systematically manipulated to reveal the effects of system parameters on CPS behavior. The two approaches are thus best viewed as complementing each other. This volume contains contributions from four European countries -- Sweden, Switzerland, Great Britain, and Germany. As such, it accurately represents the bulk of empirical research on CPS which has been conducted in Europe. An international cooperation started two years ago with the goal of bringing the European research on complex problem solving to the awareness of American scholars. A direct result of that effort, the contributions to this book are both informative and comprehensive.

Affect and Mathematical Problem Solving

Download Affect and Mathematical Problem Solving PDF Online Free

Author :
Publisher : Springer Science & Business Media
ISBN 13 : 1461236142
Total Pages : 246 pages
Book Rating : 4.4/5 (612 download)

DOWNLOAD NOW!


Book Synopsis Affect and Mathematical Problem Solving by : Douglas B. McLeod

Download or read book Affect and Mathematical Problem Solving written by Douglas B. McLeod and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: Research on cognitive aspects of mathematical problem solving has made great progress in recent years, but the relationship of affective factors to problem-solving performance has been a neglected research area. The purpose of Affect and Mathematical Problem Solving: A New Perspective is to show how the theories and methods of cognitive science can be extended to include the role of affect in mathematical problem solving. The book presents Mandler's theory of emotion and explores its implications for the learning and teaching of mathematical problem solving. Also, leading researchers from mathematics, education, and psychology report how they have integrated affect into their own cognitive research. The studies focus on metacognitive processes, aesthetic influences on expert problem solvers, teacher decision-making, technology and teaching problem solving, and beliefs about mathematics. The results suggest how emotional factors like anxiety, frustration, joy, and satisfaction can help or hinder performance in problem solving.

Mathematical Problem Solving and New Information Technologies

Download Mathematical Problem Solving and New Information Technologies PDF Online Free

Author :
Publisher : Springer Science & Business Media
ISBN 13 : 3642581420
Total Pages : 361 pages
Book Rating : 4.6/5 (425 download)

DOWNLOAD NOW!


Book Synopsis Mathematical Problem Solving and New Information Technologies by : Joao P. Ponte

Download or read book Mathematical Problem Solving and New Information Technologies written by Joao P. Ponte and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 361 pages. Available in PDF, EPUB and Kindle. Book excerpt: A strong and fluent competency in mathematics is a necessary condition for scientific, technological and economic progress. However, it is widely recognized that problem solving, reasoning, and thinking processes are critical areas in which students' performance lags far behind what should be expected and desired. Mathematics is indeed an important subject, but is also important to be able to use it in extra-mathematical contexts. Thinking strictly in terms of mathematics or thinking in terms of its relations with the real world involve quite different processes and issues. This book includes the revised papers presented at the NATO ARW "Information Technology and Mathematical Problem Solving Research", held in April 1991, in Viana do Castelo, Portugal, which focused on the implications of computerized learning environments and cognitive psychology research for these mathematical activities. In recent years, several committees, professional associations, and distinguished individuals throughout the world have put forward proposals to renew mathematics curricula, all emphasizing the importance of problem solving. In order to be successful, these reforming intentions require a theory-driven research base. But mathematics problem solving may be considered a "chaotic field" in which progress has been quite slow.

The Nature of Mathematical Thinking

Download The Nature of Mathematical Thinking PDF Online Free

Author :
Publisher : Routledge
ISBN 13 : 1136487506
Total Pages : 356 pages
Book Rating : 4.1/5 (364 download)

DOWNLOAD NOW!


Book Synopsis The Nature of Mathematical Thinking by : Robert J. Sternberg

Download or read book The Nature of Mathematical Thinking written by Robert J. Sternberg and published by Routledge. This book was released on 2012-10-12 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: Why do some children seem to learn mathematics easily and others slave away at it, learning it only with great effort and apparent pain? Why are some people good at algebra but terrible at geometry? How can people who successfully run a business as adults have been failures at math in school? How come some professional mathematicians suffer terribly when trying to balance a checkbook? And why do school children in the United States perform so dismally in international comparisons? These are the kinds of real questions the editors set out to answer, or at least address, in editing this book on mathematical thinking. Their goal was to seek a diversity of contributors representing multiple viewpoints whose expertise might converge on the answers to these and other pressing and interesting questions regarding this subject. The chapter authors were asked to focus on their own approach to mathematical thinking, but also to address a common core of issues such as the nature of mathematical thinking, how it is similar to and different from other kinds of thinking, what makes some people or some groups better than others in this subject area, and how mathematical thinking can be assessed and taught. Their work is directed to a diverse audience -- psychologists interested in the nature of mathematical thinking and abilities, computer scientists who want to simulate mathematical thinking, educators involved in teaching and testing mathematical thinking, philosophers who need to understand the qualitative aspects of logical thinking, anthropologists and others interested in how and why mathematical thinking seems to differ in quality across cultures, and laypeople and others who have to think mathematically and want to understand how they are going to accomplish that feat.

Cognitive Foundations for Improving Mathematical Learning

Download Cognitive Foundations for Improving Mathematical Learning PDF Online Free

Author :
Publisher : Academic Press
ISBN 13 : 0128159537
Total Pages : 377 pages
Book Rating : 4.1/5 (281 download)

DOWNLOAD NOW!


Book Synopsis Cognitive Foundations for Improving Mathematical Learning by : David C. Geary

Download or read book Cognitive Foundations for Improving Mathematical Learning written by David C. Geary and published by Academic Press. This book was released on 2019-01-03 with total page 377 pages. Available in PDF, EPUB and Kindle. Book excerpt: The fifth volume in the Mathematical Cognition and Learning series focuses on informal learning environments and other parental influences on numerical cognitive development and formal instructional interventions for improving mathematics learning and performance. The chapters cover the use of numerical play and games for improving foundational number knowledge as well as school math performance, the link between early math abilities and the approximate number system, and how families can help improve the early development of math skills. The book goes on to examine learning trajectories in early mathematics, the role of mathematical language in acquiring numeracy skills, evidence-based assessments of early math skills, approaches for intensifying early mathematics interventions, the use of analogies in mathematics instruction, schema-based diagrams for teaching ratios and proportions, the role of cognitive processes in treating mathematical learning difficulties, and addresses issues associated with intervention fadeout. Identifies the relative influence of school and family on math learning Discusses the efficacy of numerical play for improvement in math Features learning trajectories in math Examines the role of math language in numeracy skills Includes assessments of math skills Explores the role of cognition in treating math-based learning difficulties

Teaching and Learning Mathematical Problem Solving

Download Teaching and Learning Mathematical Problem Solving PDF Online Free

Author :
Publisher : Routledge
ISBN 13 : 1136561161
Total Pages : 485 pages
Book Rating : 4.1/5 (365 download)

DOWNLOAD NOW!


Book Synopsis Teaching and Learning Mathematical Problem Solving by : Edward A. Silver

Download or read book Teaching and Learning Mathematical Problem Solving written by Edward A. Silver and published by Routledge. This book was released on 2013-04-03 with total page 485 pages. Available in PDF, EPUB and Kindle. Book excerpt: A provocative collection of papers containing comprehensive reviews of previous research, teaching techniques, and pointers for direction of future study. Provides both a comprehensive assessment of the latest research on mathematical problem solving, with special emphasis on its teaching, and an attempt to increase communication across the active disciplines in this area.

A SUDY ON PROBLEM SOLVING ABILITY OF PRE-UNIVERSITY LEVEL STUDENTS IN RELATION TO SOME SELECTED VERIABLES

Download A SUDY ON PROBLEM SOLVING ABILITY OF PRE-UNIVERSITY LEVEL STUDENTS IN RELATION TO SOME SELECTED VERIABLES PDF Online Free

Author :
Publisher : Ashok Yakkaldevi
ISBN 13 : 1458339009
Total Pages : 301 pages
Book Rating : 4.4/5 (583 download)

DOWNLOAD NOW!


Book Synopsis A SUDY ON PROBLEM SOLVING ABILITY OF PRE-UNIVERSITY LEVEL STUDENTS IN RELATION TO SOME SELECTED VERIABLES by : Dr. Rajashekhara

Download or read book A SUDY ON PROBLEM SOLVING ABILITY OF PRE-UNIVERSITY LEVEL STUDENTS IN RELATION TO SOME SELECTED VERIABLES written by Dr. Rajashekhara and published by Ashok Yakkaldevi. This book was released on 2022-04-05 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: 1.0 Introduction: Of all the creation of God human life is the most sacred. It has two aspects – the biological and sociological. While the biological aspects of human life is maintenance and transmission through nutrition and reproduction, the social aspect of human life is maintenance and transmission by education. In the primitive society, the primary needs of man comprised food, shelter and clothing. With the progress of the society and civilization, however those primary needs have been multiplied into six viz – food, shelter, clothing, education, recreation and health. Man is primarily distinguishable from the lower animals because of his educating ability. He is endowed with intelligence; he wants to remain active, energetic and even original. He desires to go ahead, this list of human achievement is very big. How has all these been done? through education. It is education which promotes his intelligence, creativity, and emotional intelligence. and even it effects on their problem solving ability too. All these things are reflected in one’s achievement.

Advances in the Contributions of Mathematics in the Field of Education and Psychology

Download Advances in the Contributions of Mathematics in the Field of Education and Psychology PDF Online Free

Author :
Publisher : Frontiers Media SA
ISBN 13 : 2832545866
Total Pages : 174 pages
Book Rating : 4.8/5 (325 download)

DOWNLOAD NOW!


Book Synopsis Advances in the Contributions of Mathematics in the Field of Education and Psychology by : Inmaculada Méndez

Download or read book Advances in the Contributions of Mathematics in the Field of Education and Psychology written by Inmaculada Méndez and published by Frontiers Media SA. This book was released on 2024-03-07 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Linguistic and Cultural Influences on Learning Mathematics

Download Linguistic and Cultural Influences on Learning Mathematics PDF Online Free

Author :
Publisher : Routledge
ISBN 13 : 1136562567
Total Pages : 329 pages
Book Rating : 4.1/5 (365 download)

DOWNLOAD NOW!


Book Synopsis Linguistic and Cultural Influences on Learning Mathematics by : Rodney R. Cocking

Download or read book Linguistic and Cultural Influences on Learning Mathematics written by Rodney R. Cocking and published by Routledge. This book was released on 2013-03-07 with total page 329 pages. Available in PDF, EPUB and Kindle. Book excerpt: The combined impact of linguistic, cultural, educational and cognitive factors on mathematics learning is considered in this unique book. By uniting the diverse research models and perspectives of these fields, the contributors describe how language and cognitive factors can influence mathematical learning, thinking and problem solving. The authors contend that cognitive skills are heavily dependent upon linguistic skills and both are critical to the representational knowledge intimately linked to school achievement in mathematics.

Development of Mathematical Cognition

Download Development of Mathematical Cognition PDF Online Free

Author :
Publisher : Academic Press
ISBN 13 : 0128019093
Total Pages : 418 pages
Book Rating : 4.1/5 (28 download)

DOWNLOAD NOW!


Book Synopsis Development of Mathematical Cognition by : Daniel B. Berch

Download or read book Development of Mathematical Cognition written by Daniel B. Berch and published by Academic Press. This book was released on 2015-10-03 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: Development of Mathematical Cognition: Neural Substrates and Genetic Influences reviews advances in extant imaging modalities and the application of brain stimulation techniques for improving mathematical learning. It goes on to explore the role genetics and environmental influences have in the development of math abilities and disabilities. Focusing on the neural substrates and genetic factors associated with both the typical and atypical development of mathematical thinking and learning, this second volume in the Mathematical Cognition and Learning series integrates the latest in innovative measures and methodological advances from the top researchers in the field. Provides details about new progress made in the study of neural correlates of numerical and arithmetic cognition Addresses recent work in quantitative and molecular genetics Works to improve instruction in numerical, arithmetical, and algebraic thinking and learning Informs policy to help increase the level of mathematical proficiency among the general public

Enhancing Thinking Skills in the Sciences and Mathematics

Download Enhancing Thinking Skills in the Sciences and Mathematics PDF Online Free

Author :
Publisher : Psychology Press
ISBN 13 : 9780805810530
Total Pages : 172 pages
Book Rating : 4.8/5 (15 download)

DOWNLOAD NOW!


Book Synopsis Enhancing Thinking Skills in the Sciences and Mathematics by : Diane F. Halpern

Download or read book Enhancing Thinking Skills in the Sciences and Mathematics written by Diane F. Halpern and published by Psychology Press. This book was released on 1992 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years national and international reports have been issued that speak of the sad state of the educational system in the United States and the desperate need for reform in teaching science and mathematics. Cognitive psychologists and mathematics and science educators have responded to this need by designing instructional programs that are more compatible with our knowledge of how people acquire, use, and retain knowledge. Many of the guiding principles that underlie these programs are presented in this volume such as teaching comprehension of scientific text through a problem-solving approach: problem planning and representation, selection of relevant information, and simultaneous monitoring of both the specifics of the problem and the mental processes being used to solve it.

The effect of a second-semester computer programming course on mathematical problem solving performance and the relationship between selected cognitive factors and mathematical problem solving performance

Download The effect of a second-semester computer programming course on mathematical problem solving performance and the relationship between selected cognitive factors and mathematical problem solving performance PDF Online Free

Author :
Publisher :
ISBN 13 :
Total Pages : 262 pages
Book Rating : 4.:/5 (271 download)

DOWNLOAD NOW!


Book Synopsis The effect of a second-semester computer programming course on mathematical problem solving performance and the relationship between selected cognitive factors and mathematical problem solving performance by : David Charles Platt

Download or read book The effect of a second-semester computer programming course on mathematical problem solving performance and the relationship between selected cognitive factors and mathematical problem solving performance written by David Charles Platt and published by . This book was released on 1990 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Effects of Cognitive Development and Instruction on Mathematical Problem Solving

Download The Effects of Cognitive Development and Instruction on Mathematical Problem Solving PDF Online Free

Author :
Publisher :
ISBN 13 :
Total Pages : 140 pages
Book Rating : 4.:/5 (424 download)

DOWNLOAD NOW!


Book Synopsis The Effects of Cognitive Development and Instruction on Mathematical Problem Solving by : Kendra Susanne Lavik

Download or read book The Effects of Cognitive Development and Instruction on Mathematical Problem Solving written by Kendra Susanne Lavik and published by . This book was released on 1998 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Associations between Reading and Mathematics: Genetic, Brain Imaging, Cognitive and Educational Perspectives

Download Associations between Reading and Mathematics: Genetic, Brain Imaging, Cognitive and Educational Perspectives PDF Online Free

Author :
Publisher : Frontiers Media SA
ISBN 13 : 2889452654
Total Pages : 115 pages
Book Rating : 4.8/5 (894 download)

DOWNLOAD NOW!


Book Synopsis Associations between Reading and Mathematics: Genetic, Brain Imaging, Cognitive and Educational Perspectives by : Sarit Ashkenazi

Download or read book Associations between Reading and Mathematics: Genetic, Brain Imaging, Cognitive and Educational Perspectives written by Sarit Ashkenazi and published by Frontiers Media SA. This book was released on 2017-10-05 with total page 115 pages. Available in PDF, EPUB and Kindle. Book excerpt: Converging evidence demonstrates a strong link between reading and mathematics: multiple cognitive processes are shared between reading and mathematics, including the representation and retrieval of symbolic information, attention, working memory, and cognitive control. Additionally, multiple brain networks are involved in both math and reading, and last, common genetic factors might influence both reading and math. Hence, it comes as no surprise that there are meaningful associations between (aspects of) math and reading abilities. Moreover, comorbidity rates between math learning disabilities (MD) and reading disabilities (RD) are high (up to 66%) and prevalence rate of the comorbid condition is reported to be more common than the prevalence rate of isolated math learning disabilities. Accordingly, the goal of the research topic is to explore the underline mechanisms of this overlap between reading and math. The research topic aims to include the following topics: • Genetics - it has been found that both RD and MD are based on genetic factors and run in families. Moreover, math problem solving shares significant genetic overlap with general cognitive ability and reading decoding, whereas math fluency shares significant genetic overlap with reading fluency and general cognitive ability. Hence, this topic will explore the shared and unique genetic risk factors to RD and MD, In addition to shared and unique genetic influence on reading and math. • Neural perspective - converging evidence from both structural and multiple functional imaging studies, involving a wide range of numerical tasks, points to the intraparietal sulcus (IPS) as a core region that involve in quantity manipulation. However, several additional brain areas, such as frontoparietal and temporoparietal areas were found to be involved in numerical tasks. Individuals with MD show deficits in a distributed, set of brain regions that include the IPS, fusiform gyrus in posterior brain regions and pre frontal cortex regions. Similarly, converging evidence indicate that the left hemisphere regions centered in the fusiform gyrus, temporoparietal cortex, and pre frontal cortex regions are strongly involve in typical reading and present lower activity, connectivity or abnormal structure in RD. Thus, there is a meaningful neural overlap between reading and math. Hence, the authors can submit empirical studies on the role of several of brain regions that are involved in math and reading (commonality and diversity) both in the typical and a-typical development. • Cognitive factors that play role in mathematics and reading, and comorbidity between RD and MD - There is a long lasting debate whether MD and RD originate from unique cognitive mechanisms or not. Multiple cognitive processes are shared between reading and mathematics. Therefore, impairments in any one of domain-general skills could conceivably play an important role in both pure and comorbid conditions. Moreover, it has been suggested that phonological processing has a significant role in some aspects of numerical processing such as retrieval of arithmetical facts. • Education - it will be interesting to look at the effect of interventions that aim to improve reading (such as phonological awareness) and there transfer effect on improving mathematical processing. Alternatively, it will be good to test whether math interventions will improve reading.

Mathematical Problem Posing

Download Mathematical Problem Posing PDF Online Free

Author :
Publisher : Springer
ISBN 13 : 1461462584
Total Pages : 587 pages
Book Rating : 4.4/5 (614 download)

DOWNLOAD NOW!


Book Synopsis Mathematical Problem Posing by : Florence Mihaela Singer

Download or read book Mathematical Problem Posing written by Florence Mihaela Singer and published by Springer. This book was released on 2015-06-12 with total page 587 pages. Available in PDF, EPUB and Kindle. Book excerpt: The mathematics education community continues to contribute research-based ideas for developing and improving problem posing as an inquiry-based instructional strategy for enhancing students’ learning. A large number of studies have been conducted which have covered many research topics and methodological aspects of teaching and learning mathematics through problem posing. The Authors' groundwork has shown that many of these studies predict positive outcomes from implementing problem posing on: student knowledge, problem solving and posing skills, creativity and disposition toward mathematics. This book examines, in-depth, the contribution of a problem posing approach to teaching mathematics and discusses the impact of adopting this approach on the development of theoretical frameworks, teaching practices and research on mathematical problem posing over the last 50 years. ​​

Where Mathematics Come From How The Embodied Mind Brings Mathematics Into Being

Download Where Mathematics Come From How The Embodied Mind Brings Mathematics Into Being PDF Online Free

Author :
Publisher :
ISBN 13 :
Total Pages : 520 pages
Book Rating : 4.3/5 (91 download)

DOWNLOAD NOW!


Book Synopsis Where Mathematics Come From How The Embodied Mind Brings Mathematics Into Being by : George Lakoff

Download or read book Where Mathematics Come From How The Embodied Mind Brings Mathematics Into Being written by George Lakoff and published by . This book was released on 2000-11-02 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt: A study of the cognitive science of mathematical ideas.