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Affect and Mathematical Problem Solving

Author : Douglas B. McLeod

Publisher : Springer Science & Business Media

Page : 246 pages

File Size : 25,66 MB

Release : 2012-12-06

Category : Mathematics

ISBN : 1461236142

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Book Description

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.





Affect and Mathematical Problem Solving

Author : Douglas B. McLeod

Publisher : Springer

Page : 0 pages

File Size : 10,48 MB

Release : 2011-09-27

Category : Mathematics

ISBN : 9781461281788

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Book Description

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.



Broadening the Scope of Research on Mathematical Problem Solving

Author : Nélia Amado

Publisher : Springer

Page : 573 pages

File Size : 13,74 MB

Release : 2018-11-30

Category : Education

ISBN : 3319998617

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Book Description

The innovative volume seeks to broaden the scope of research on mathematical problem solving in different educational environments. It brings together contributions not only from leading researchers, but also highlights collaborations with younger researchers to broadly explore mathematical problem-solving across many fields: mathematics education, psychology of education, technology education, mathematics popularization, and more. The volume’s three major themes—technology, creativity, and affect—represent key issues that are crucially embedded in the activity of problem solving in mathematics teaching and learning, both within the school setting and beyond the school. Through the book’s new pedagogical perspectives on these themes, it advances the field of research towards a more comprehensive approach on mathematical problem solving. Broadening the Scope of Research on Mathematical Problem Solving will prove to be a valuable resource for researchers and teachers interested in mathematical problem solving, as well as researchers and teachers interested in technology, creativity, and affect.



Mathematical Problem Posing

Author : Florence Mihaela Singer

Publisher : Springer

Page : 587 pages

File Size : 11,5 MB

Release : 2015-06-12

Category : Education

ISBN : 1461462584

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Book Description

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. ​​



How Not to Be Wrong

Author : Jordan Ellenberg

Publisher : Penguin Press

Page : 480 pages

File Size : 27,91 MB

Release : 2014-05-29

Category : Mathematics

ISBN : 1594205221

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Book Description

A brilliant tour of mathematical thought and a guide to becoming a better thinker, How Not to Be Wrong shows that math is not just a long list of rules to be learned and carried out by rote. Math touches everything we do; It's what makes the world make sense. Using the mathematician's methods and hard-won insights-minus the jargon-professor and popular columnist Jordan Ellenberg guides general readers through his ideas with rigor and lively irreverence, infusing everything from election results to baseball to the existence of God and the psychology of slime molds with a heightened sense of clarity and wonder. Armed with the tools of mathematics, we can see the hidden structures beneath the messy and chaotic surface of our daily lives. How Not to Be Wrong shows us how--Publisher's description.



Teaching Mathematics through Problem-Solving in K–12 Classrooms

Author : Matthew Oldridge

Publisher : Rowman & Littlefield

Page : 135 pages

File Size : 28,83 MB

Release : 2018-10-31

Category : Education

ISBN : 1475843348

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Book Description

“Teaching through problem-solving” is a commonly used phrase for mathematics educators. This book shows how to use worthwhile and interesting mathematics tasks and problems to build a classroom culture based on students’ reasoning and thinking. It develops a set of axioms about problem-solving classrooms to show teachers that mathematics is playful and engaging. It presents an aspirational vision for school mathematics, one which all teachers can bring into being in their classrooms.



Posing and Solving Mathematical Problems

Author : Patricio Felmer

Publisher : Springer

Page : 400 pages

File Size : 46,78 MB

Release : 2016-04-29

Category : Education

ISBN : 3319280236

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Book Description

This book collects recent research on posing and solving mathematical problems. Rather than treating these two crucial aspects of school mathematics as separate areas of study, the authors approach them as a unit where both areas are measured on equal grounds in relation to each other. The contributors are from a vast variety of countries and with a wide range of experience; it includes the work from many of the leading researchers in the area and an important number of young researchers. The book is divided in three parts, one directed to new research perspectives and the other two directed to teachers and students, respectively.



Beliefs: A Hidden Variable in Mathematics Education?

Author : G.C. Leder

Publisher : Springer Science & Business Media

Page : 367 pages

File Size : 31,74 MB

Release : 2005-12-28

Category : Education

ISBN : 0306479583

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Book Description

This book focuses on aspects of mathematical beliefs, from a variety of different perspectives. Current knowledge of the field is synthesized and existing boundaries are extended. The volume is intended for researchers in the field, as well as for mathematics educators teaching the next generation of students.



Psychology Of Problem Solving, The: The Background To Successful Mathematics Thinking

Author : Alfred S Posamentier

Publisher : World Scientific

Page : 168 pages

File Size : 14,43 MB

Release : 2019-08-21

Category : Mathematics

ISBN : 9811205728

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Book Description

The art or skill of problem solving in mathematics is mostly relegated to the strategies one can use to solve problems in the field. Although this book addresses that issue, it delves deeply into the psychological aspects that affect successful problem-solving. Such topics as decision-making, judgment, and reasoning as well as using memory effectively and a discussion of the thought processes that could help address certain problem-solving situations.Most books that address problem-solving and mathematics focus on the various skills. This book goes beyond that and investigates the psychological aspects to solving problems in mathematics.