Affect And Mathematical Problem Solving

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Affect and Mathematical Problem Solving

Author : Douglas B. McLeod
Publisher : Springer Science & Business Media
ISBN 13 : 1461236142
Total Pages : 268 pages
Book Rating : 4.4/5 (612 download)

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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 268 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.

Affect and Mathematical Problem Solving

Author : Douglas B McLeod
Publisher :
ISBN 13 : 9781461236153
Total Pages : 284 pages
Book Rating : 4.2/5 (361 download)

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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 . This book was released on 1989-05-01 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Affect and Mathematical Problem Solving

Author : Douglas B. McLeod
Publisher : Springer
ISBN 13 : 9781461281788
Total Pages : 0 pages
Book Rating : 4.2/5 (817 download)

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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. This book was released on 2011-09-27 with total page 0 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.

Broadening the Scope of Research on Mathematical Problem Solving

Author : Nélia Amado
Publisher : Springer
ISBN 13 : 3319998617
Total Pages : 579 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis Broadening the Scope of Research on Mathematical Problem Solving by : Nélia Amado

Download or read book Broadening the Scope of Research on Mathematical Problem Solving written by Nélia Amado and published by Springer. This book was released on 2018-11-30 with total page 579 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Affect and Mathematical Problem Solving

Author : Douglas B. McLeod
Publisher :
ISBN 13 : 9783540969242
Total Pages : 268 pages
Book Rating : 4.9/5 (692 download)

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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 . This book was released on 1989-01-01 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Problem Posing

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

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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.

How Not to Be Wrong

Author : Jordan Ellenberg
Publisher : Penguin
ISBN 13 : 0143127535
Total Pages : 482 pages
Book Rating : 4.1/5 (431 download)

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Book Synopsis How Not to Be Wrong by : Jordan Ellenberg

Download or read book How Not to Be Wrong written by Jordan Ellenberg and published by Penguin. This book was released on 2015-05-26 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: “Witty, compelling, and just plain fun to read . . ." —Evelyn Lamb, Scientific American The Freakonomics of math—a math-world superstar unveils the hidden beauty and logic of the world and puts its power in our hands The math we learn in school can seem like a dull set of rules, laid down by the ancients and not to be questioned. In How Not to Be Wrong, Jordan Ellenberg shows us how terribly limiting this view is: Math isn’t confined to abstract incidents that never occur in real life, but rather touches everything we do—the whole world is shot through with it. Math allows us to see the hidden structures underneath the messy and chaotic surface of our world. It’s a science of not being wrong, hammered out by centuries of hard work and argument. Armed with the tools of mathematics, we can see through to the true meaning of information we take for granted: How early should you get to the airport? What does “public opinion” really represent? Why do tall parents have shorter children? Who really won Florida in 2000? And how likely are you, really, to develop cancer? How Not to Be Wrong presents the surprising revelations behind all of these questions and many more, using the mathematician’s method of analyzing life and exposing the hard-won insights of the academic community to the layman—minus the jargon. Ellenberg chases mathematical threads through a vast range of time and space, from the everyday to the cosmic, encountering, among other things, baseball, Reaganomics, daring lottery schemes, Voltaire, the replicability crisis in psychology, Italian Renaissance painting, artificial languages, the development of non-Euclidean geometry, the coming obesity apocalypse, Antonin Scalia’s views on crime and punishment, the psychology of slime molds, what Facebook can and can’t figure out about you, and the existence of God. Ellenberg pulls from history as well as from the latest theoretical developments to provide those not trained in math with the knowledge they need. Math, as Ellenberg says, is “an atomic-powered prosthesis that you attach to your common sense, vastly multiplying its reach and strength.” With the tools of mathematics in hand, you can understand the world in a deeper, more meaningful way. How Not to Be Wrong will show you how.

Posing and Solving Mathematical Problems

Author : Patricio Felmer
Publisher : Springer
ISBN 13 : 3319280236
Total Pages : 402 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Posing and Solving Mathematical Problems by : Patricio Felmer

Download or read book Posing and Solving Mathematical Problems written by Patricio Felmer and published by Springer. This book was released on 2016-04-29 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

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

Author : Virgadamo Danielle Sauro
Publisher : World Scientific
ISBN 13 : 9811205728
Total Pages : 168 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Psychology Of Problem Solving, The: The Background To Successful Mathematics Thinking by : Virgadamo Danielle Sauro

Download or read book Psychology Of Problem Solving, The: The Background To Successful Mathematics Thinking written by Virgadamo Danielle Sauro and published by World Scientific. This book was released on 2019-08-21 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Beliefs: A Hidden Variable in Mathematics Education?

Author : G.C. Leder
Publisher : Springer Science & Business Media
ISBN 13 : 0306479583
Total Pages : 364 pages
Book Rating : 4.3/5 (64 download)

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Book Synopsis Beliefs: A Hidden Variable in Mathematics Education? by : G.C. Leder

Download or read book Beliefs: A Hidden Variable in Mathematics Education? written by G.C. Leder and published by Springer Science & Business Media. This book was released on 2006-04-11 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Mathematical Problem Solving

Author : ALAN H. SCHOENFELD
Publisher : Elsevier
ISBN 13 : 1483295486
Total Pages : 409 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Mathematical Problem Solving by : ALAN H. SCHOENFELD

Download or read book Mathematical Problem Solving written by ALAN H. SCHOENFELD and published by Elsevier. This book was released on 2014-06-28 with total page 409 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is addressed to people with research interests in the nature of mathematical thinking at any level, to people with an interest in "higher-order thinking skills" in any domain, and to all mathematics teachers. The focal point of the book is a framework for the analysis of complex problem-solving behavior. That framework is presented in Part One, which consists of Chapters 1 through 5. It describes four qualitatively different aspects of complex intellectual activity: cognitive resources, the body of facts and procedures at one's disposal; heuristics, "rules of thumb" for making progress in difficult situations; control, having to do with the efficiency with which individuals utilize the knowledge at their disposal; and belief systems, one's perspectives regarding the nature of a discipline and how one goes about working in it. Part Two of the book, consisting of Chapters 6 through 10, presents a series of empirical studies that flesh out the analytical framework. These studies document the ways that competent problem solvers make the most of the knowledge at their disposal. They include observations of students, indicating some typical roadblocks to success. Data taken from students before and after a series of intensive problem-solving courses document the kinds of learning that can result from carefully designed instruction. Finally, observations made in typical high school classrooms serve to indicate some of the sources of students' (often counterproductive) mathematical behavior.

Affect in Mathematical Modeling

Author : Scott A. Chamberlin
Publisher : Springer
ISBN 13 : 3030044327
Total Pages : 325 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Affect in Mathematical Modeling by : Scott A. Chamberlin

Download or read book Affect in Mathematical Modeling written by Scott A. Chamberlin and published by Springer. This book was released on 2019-06-03 with total page 325 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the book, the relationship between affect and modeling is discussed because, as educational psychologists have suggested for decades, affect directly influences achievement. Moreover, given the importance of mathematical modeling and the applications to high level mathematics, it provides the field of mathematics psychology with insight regarding affect, in relation to mathematical modeling. By doing so it helps determine the degree to which understanding of mathematics and understanding affect in mathematical modeling episodes may have a direct effect on cognition.

Encyclopedia of Mathematics Education

Author : Stephen Lerman
Publisher : Springer
ISBN 13 : 9783030157883
Total Pages : 916 pages
Book Rating : 4.1/5 (578 download)

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Book Synopsis Encyclopedia of Mathematics Education by : Stephen Lerman

Download or read book Encyclopedia of Mathematics Education written by Stephen Lerman and published by Springer. This book was released on 2020-02-07 with total page 916 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Encyclopedia of Mathematics Education is a comprehensive reference text, covering every topic in the field with entries ranging from short descriptions to much longer pieces where the topic warrants more elaboration. The entries provide access to theories and to research in the area and refer to the leading publications for further reading. The Encyclopedia is aimed at graduate students, researchers, curriculum developers, policy makers, and others with interests in the field of mathematics education. It is planned to be 700 pages in length in its hard copy form but the text will subsequently be up-dated and developed on-line in a way that retains the integrity of the ideas, the responsibility for which will be in the hands of the Editor-in-Chief and the Editorial Board. This second edition will include additional entries on: new ideas in the politics of mathematics education, working with minority students, mathematics and art, other cross-disciplinary studies, studies in emotions and mathematics, new frameworks for analysis of mathematics classrooms, and using simulations in mathematics teacher education. Existing entries will be revised and new entries written. Members of the international mathematics education research community will be invited to propose new entries. Editorial Board: Bharath Sriraman Melony Graven Yoshinori Shimizu Ruhama Even Michele Artigue Eva Jablonka Wish to Become an Author? Springer's Encyclopedia of Mathematics Education's first edition was published in 2014. The Encyclopedia is a "living" project and will continue to accept articles online as part of an eventual second edition. Articles will be peer-reviewed in a timely manner and, if found acceptable, will be immediately published online. Suggested articles are, of course, welcome. Feel encouraged to think about additional topics that we overlooked the first time around, and to suggest colleagues (including yourself!) who will want to write them. Interested new authors should contact the editor in chief, Stephen Lerman, at [email protected], for more specific instructions.

Understanding Emotions in Mathematical Thinking and Learning

Author : Ulises Xolocotzin
Publisher : Academic Press
ISBN 13 : 0128024895
Total Pages : 474 pages
Book Rating : 4.1/5 (28 download)

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Book Synopsis Understanding Emotions in Mathematical Thinking and Learning by : Ulises Xolocotzin

Download or read book Understanding Emotions in Mathematical Thinking and Learning written by Ulises Xolocotzin and published by Academic Press. This book was released on 2017-05-12 with total page 474 pages. Available in PDF, EPUB and Kindle. Book excerpt: Emotions play a critical role in mathematical cognition and learning. Understanding Emotions in Mathematical Thinking and Learning offers a multidisciplinary approach to the role of emotions in numerical cognition, mathematics education, learning sciences, and affective sciences. It addresses ways in which emotions relate to cognitive processes involved in learning and doing mathematics, including processing of numerical and physical magnitudes (e.g. time and space), performance in arithmetic and algebra, problem solving and reasoning attitudes, learning technologies, and mathematics achievement. Additionally, it covers social and affective issues such as identity and attitudes toward mathematics. Covers methodologies in studying emotion in mathematical knowledge Reflects the diverse and innovative nature of the methodological approaches and theoretical frameworks proposed by current investigations of emotions and mathematical cognition Includes perspectives from cognitive experimental psychology, neuroscience, and from sociocultural, semiotic, and discursive approaches Explores the role of anxiety in mathematical learning Synthesizes unifies the work of multiple sub-disciplines in one place

New Mathematics Education Research and Practice

Author :
Publisher : BRILL
ISBN 13 : 9087903510
Total Pages : 321 pages
Book Rating : 4.0/5 (879 download)

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Book Synopsis New Mathematics Education Research and Practice by :

Download or read book New Mathematics Education Research and Practice written by and published by BRILL. This book was released on 2006-01-01 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics education research has blossomed into many different areas which we can see in the programmes of the ICME conferences as well as in the various survey articles in the Handbooks. However, all of these lines of research are trying to grapple with a common problem, the complexity of the process of learning mathematics.

The Relationship of Affect and Creativity in Mathematics

Author : Scott A. Chamberlin
Publisher : Taylor & Francis
ISBN 13 : 100049649X
Total Pages : 168 pages
Book Rating : 4.0/5 (4 download)

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Book Synopsis The Relationship of Affect and Creativity in Mathematics by : Scott A. Chamberlin

Download or read book The Relationship of Affect and Creativity in Mathematics written by Scott A. Chamberlin and published by Taylor & Francis. This book was released on 2021-09-03 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Relationship of Affect and Creativity in Mathematics explores the five legs of creativity—Iconoclasm, Impartiality, Investment, Intuition, and Inquisitiveness—as they relate to mathematical giftedness. This book: Discusses these affective components relevant to mathematical learning experiences. Shares how affective components impact students' creative processes and products. Shows the influence of learning facilitators, including teachers, afterschool mentors, and parents. Describes facilitating environments that may enhance the likelihood that creative process and ultimately product emerge. Utilizes the expertise of two young scholars to discuss the practical effects of affect and creativity in learning experiences. This practical, research-based book is a must-read for stakeholders in gifted education, as many advanced students are underidentified in the area of creativity in mathematics.

Beyond Constructivism

Author : Richard A. Lesh
Publisher : Routledge
ISBN 13 : 1317438515
Total Pages : 614 pages
Book Rating : 4.3/5 (174 download)

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Book Synopsis Beyond Constructivism by : Richard A. Lesh

Download or read book Beyond Constructivism written by Richard A. Lesh and published by Routledge. This book was released on 2003-05-01 with total page 614 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book has two primary goals. On the level of theory development, the book clarifies the nature of an emerging "models and modeling perspective" about teaching, learning, and problem solving in mathematics and science education. On the level of emphasizing practical problems, it clarifies the nature of some of the most important elementary-but-powerful mathematical or scientific understandings and abilities that Americans are likely to need as foundations for success in the present and future technology-based information age. Beyond Constructivism: Models and Modeling Perspectives on Mathematics Problem Solving, Learning, and Teaching features an innovative Web site housing online appendices for each chapter, designed to supplement the print chapters with digital resources that include example problems, relevant research tools and video clips, as well as transcripts and other samples of students' work: http://tcct.soe.purdue.edu/booksULandULjournals/modelsULandUL modeling/ This is an essential volume for graduate-level courses in mathematics and science education, cognition and learning, and critical and creative thinking, as well as a valuable resource for researchers and practitioners in these areas.