The Psychology Of Mathematics

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The Psychology of Mathematics

Anderson Norton
The Psychology of Mathematics Book PDF

Author : Anderson Norton
Publisher : Routledge
Page : 238 pages
File Size : 48,7 Mb
Release : 2022-03-22
Category : Education
ISBN : 9781000547016

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The Psychology of Mathematics by Anderson Norton Pdf

This book offers an innovative introduction to the psychological basis of mathematics and the nature of mathematical thinking and learning, using an approach that empowers students by fostering their own construction of mathematical structures. Through accessible and engaging writing, award-winning mathematician and educator Anderson Norton reframes mathematics as something that exists first in the minds of students, rather than something that exists first in a textbook. By exploring the psychological basis for mathematics at every level—including geometry, algebra, calculus, complex analysis, and more—Norton unlocks students’ personal power to construct mathematical objects based on their own mental activity and illustrates the power of mathematics in organizing the world as we know it. Including reflections and activities designed to inspire awareness of the mental actions and processes coordinated in practicing mathematics, the book is geared toward current and future secondary and elementary mathematics teachers who will empower the next generation of mathematicians and STEM majors. Those interested in the history and philosophy that underpins mathematics will also benefit from this book, as well as those informed and curious minds attentive to the human experience more generally.

Psychology of Mathematics for Instruction

L. B. Resnick,W. W. Ford
Psychology of Mathematics for Instruction Book PDF

Author : L. B. Resnick,W. W. Ford
Publisher : Routledge
Page : 273 pages
File Size : 40,9 Mb
Release : 2012-11-12
Category : Education
ISBN : 9781136557521

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Psychology of Mathematics for Instruction by L. B. Resnick,W. W. Ford Pdf

Published in 1981, Psychology of Mathematics for Instruction is a valuable contribution to the field of Education.

The Psychology of Learning Mathematics

Richard R. Skemp
The Psychology of Learning Mathematics Book PDF

Author : Richard R. Skemp
Publisher : Routledge
Page : 227 pages
File Size : 42,9 Mb
Release : 2012-08-06
Category : Education
ISBN : 9781136606250

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The Psychology of Learning Mathematics by Richard R. Skemp Pdf

This classic text presents problems of learning and teaching mathematics from both a psychological and mathematical perspective. The Psychology of Learning Mathematics, already translated into six languages (including Chinese and Japanese), has been revised for this American Edition to include the author's most recent findings on the formation of mathematical concepts, different kinds of imagery, interpersonal and emotional factors, and a new model of intelligence. The author contends that progress in the areas of learning and teaching mathematics can only be made when such factors as the abstract and hierarchical nature of mathematics, the relation to mathematical symbolism and the distinction between intelligent learning and rote memorization are taken into account and instituted in the classroom.

Handbook of Research on the Psychology of Mathematics Education

Angel Gutiérrez,Paolo Boero
Handbook of Research on the Psychology of Mathematics Education Book PDF

Author : Angel Gutiérrez,Paolo Boero
Publisher : Sense Publishers
Page : 538 pages
File Size : 44,9 Mb
Release : 2006
Category : Education
ISBN : 9789077874196

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Handbook of Research on the Psychology of Mathematics Education by Angel Gutiérrez,Paolo Boero Pdf

Compilation of the research produced by the International Group for the Psychology of Mathematics Education (PME) since its creation in 1976. The first three sections summarize cognitively-oriented research on learning and teaching specific content areas, transversal areas, and based on technology-rich environments. The fourth section is devoted to the research on social, affective, cultural and cognitive aspects of mathematics education. The fifth section includes two chapters summarizing the PME research on teacher training and professional life of mathematics teachers.

New Handbook of Mathematical Psychology: Volume 1, Foundations and Methodology

William H. Batchelder,Hans Colonius,Ehtibar N. Dzhafarov,Jay Myung
New Handbook of Mathematical Psychology Volume 1 Foundations and Methodology Book PDF

Author : William H. Batchelder,Hans Colonius,Ehtibar N. Dzhafarov,Jay Myung
Publisher : Cambridge University Press
Page : 799 pages
File Size : 42,8 Mb
Release : 2016-12-15
Category : Psychology
ISBN : 9781316586266

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New Handbook of Mathematical Psychology: Volume 1, Foundations and Methodology by William H. Batchelder,Hans Colonius,Ehtibar N. Dzhafarov,Jay Myung Pdf

The field of mathematical psychology began in the 1950s and includes both psychological theorizing, in which mathematics plays a key role, and applied mathematics, motivated by substantive problems in psychology. Central to its success was the publication of the first Handbook of Mathematical Psychology in the 1960s. The psychological sciences have since expanded to include new areas of research, and significant advances have been made in both traditional psychological domains and in the applications of the computational sciences to psychology. Upholding the rigor of the first title in this field to be published, the New Handbook of Mathematical Psychology reflects the current state of the field by exploring the mathematical and computational foundations of new developments over the last half-century. This first volume focuses on select mathematical ideas, theories, and modeling approaches to form a foundational treatment of mathematical psychology.

The Psychology of Learning Mathematics

Richard R. Skemp
The Psychology of Learning Mathematics Book PDF

Author : Richard R. Skemp
Publisher : Psychology Press
Page : 227 pages
File Size : 46,6 Mb
Release : 1987
Category : Education
ISBN : 9780805800586

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The Psychology of Learning Mathematics by Richard R. Skemp Pdf

First Published in 1987. Routledge is an imprint of Taylor & Francis, an informa company.

The Second Handbook of Research on the Psychology of Mathematics Education

Ángel Gutiérrez,Gilah C. Leder,Paolo Boero
The Second Handbook of Research on the Psychology of Mathematics Education Book PDF

Author : Ángel Gutiérrez,Gilah C. Leder,Paolo Boero
Publisher : Springer
Page : 558 pages
File Size : 43,6 Mb
Release : 2016-07-23
Category : Education
ISBN : 9789463005616

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The Second Handbook of Research on the Psychology of Mathematics Education by Ángel Gutiérrez,Gilah C. Leder,Paolo Boero Pdf

Since its establishment in 1976, PME (The International Group for the Psychology of Mathematics Education) is serving as a much sought after venue for scientific debate among those at the cutting edge of the field, as well as an engine for the development of research in mathematics education. A wide range of research activities conducted over the last ten years by PME members and their colleagues are documented and critically reviewed in this handbook, released to celebrate the Group’s 40 year anniversary milestone. The book is divided into four main sections: Cognitive aspects of learning and teaching content areas; Cognitive aspects of learning and teaching transverse areas; Social aspects of learning and teaching mathematics; and Professional aspects of teaching mathematics. The selection for each chapter of a team of at least two authors, mostly located in different parts of the world, ensured effective coverage of each field. High quality was further enhanced by the scrupulous review of early chapter drafts by two leaders in the relevant field. The resulting volume with its compilation of the most relevant aspects of research in the field, and its emphasis on trends and future developments, will be a rich and welcome resource for both mature and emerging researchers in mathematics education.

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

Virgadamo Danielle Sauro,Posamentier Alfred S,Keefe-cooperman Kathleen,Kose Gary
Psychology Of Problem Solving The The Background To Successful Mathematics Thinking Book PDF

Author : Virgadamo Danielle Sauro,Posamentier Alfred S,Keefe-cooperman Kathleen,Kose Gary
Publisher : World Scientific
Page : 168 pages
File Size : 51,5 Mb
Release : 2019-08-21
Category : Mathematics
ISBN : 9789811205729

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Psychology Of Problem Solving, The: The Background To Successful Mathematics Thinking by Virgadamo Danielle Sauro,Posamentier Alfred S,Keefe-cooperman Kathleen,Kose Gary Pdf

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.

The Mathematician's Mind

Jacques Hadamard
The Mathematician s Mind Book PDF

Author : Jacques Hadamard
Publisher : Princeton University Press
Page : 168 pages
File Size : 42,7 Mb
Release : 2020-05-05
Category : Mathematics
ISBN : 9780691212906

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The Mathematician's Mind by Jacques Hadamard Pdf

Fifty years ago when Jacques Hadamard set out to explore how mathematicians invent new ideas, he considered the creative experiences of some of the greatest thinkers of his generation, such as George Polya, Claude Lévi-Strauss, and Albert Einstein. It appeared that inspiration could strike anytime, particularly after an individual had worked hard on a problem for days and then turned attention to another activity. In exploring this phenomenon, Hadamard produced one of the most famous and cogent cases for the existence of unconscious mental processes in mathematical invention and other forms of creativity. Written before the explosion of research in computers and cognitive science, his book, originally titled The Psychology of Invention in the Mathematical Field, remains an important tool for exploring the increasingly complex problem of mental life. The roots of creativity for Hadamard lie not in consciousness, but in the long unconscious work of incubation, and in the unconscious aesthetic selection of ideas that thereby pass into consciousness. His discussion of this process comprises a wide range of topics, including the use of mental images or symbols, visualized or auditory words, "meaningless" words, logic, and intuition. Among the important documents collected is a letter from Albert Einstein analyzing his own mechanism of thought.

Psychology of Mathematics for Instruction

L. B. Resnick,W. W. Ford
Psychology of Mathematics for Instruction Book PDF

Author : L. B. Resnick,W. W. Ford
Publisher : Routledge
Page : 274 pages
File Size : 45,5 Mb
Release : 2012-11-12
Category : Education
ISBN : 9781136557590

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Psychology of Mathematics for Instruction by L. B. Resnick,W. W. Ford Pdf

Published in 1981, Psychology of Mathematics for Instruction is a valuable contribution to the field of Education.

Constructing Number

Anderson Norton,Martha W. Alibali
Constructing Number Book PDF

Author : Anderson Norton,Martha W. Alibali
Publisher : Springer
Page : 377 pages
File Size : 43,9 Mb
Release : 2018-12-17
Category : Education
ISBN : 9783030004910

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Constructing Number by Anderson Norton,Martha W. Alibali Pdf

The book synergizes research on number across two disciplines—mathematics education and psychology. The underlying problem the book addresses is how the brain constructs number. The opening chapter frames the problem in terms of children’s activity, including mental and physical actions. Subsequent chapters are organized into sections that address specific domains of number: natural numbers, fractions, and integers. Chapters within each section address ways that children build upon biological primitives (e.g., subitizing) and prior constructs (e.g., counting sequences) to construct number. The book relies on co-authored chapters and commentaries at the end of each section to create dialogue between junior faculty and senior researchers, as well as between psychologists and mathematics educators. The final chapter brings this work together around the framework of children’s activity and additional themes that arise in the collective work. The book is aimed to appeal to mathematics educators, mathematics teacher educators, mathematics education researchers, educational psychologists, cognitive psychologists, and developmental psychologists.

Mathematics and Cognition

Pearla Nesher,Jeremy Kilpatrick
Mathematics and Cognition Book PDF

Author : Pearla Nesher,Jeremy Kilpatrick
Publisher : CUP Archive
Page : 234 pages
File Size : 41,8 Mb
Release : 1990-02-23
Category : Education
ISBN : 0521367875

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Mathematics and Cognition by Pearla Nesher,Jeremy Kilpatrick Pdf

This 1990 book is aimed at teachers, mathematics educators and general readers who are interested in mathematics education from a psychological point of view.

An Essay on the Psychology of Invention in the Mathematical Field

Jacques Hadamard
An Essay on the Psychology of Invention in the Mathematical Field Book PDF

Author : Jacques Hadamard
Publisher : Read Books Ltd
Page : 164 pages
File Size : 46,9 Mb
Release : 2013-04-16
Category : Mathematics
ISBN : 9781447493273

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An Essay on the Psychology of Invention in the Mathematical Field by Jacques Hadamard Pdf

Many of the earliest books, particularly those dating back to the 1900s and before, are now extremely scarce and increasingly expensive. We are republishing these classic works in affordable, high quality, modern editions, using the original text and artwork.

Handbook of Research on the Psychology of Mathematics Education

Anonim
Handbook of Research on the Psychology of Mathematics Education Book PDF

Author : Anonim
Publisher : BRILL
Page : 533 pages
File Size : 44,5 Mb
Release : 2006-01-01
Category : Education
ISBN : 9789087901127

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Handbook of Research on the Psychology of Mathematics Education by Anonim Pdf

This volume is a compilation of the research produced by the International Group for the Psychology of Mathematics Education (PME) since its creation, 30 years ago. It has been written to become an essential reference for Mathematics Education research in the coming years.

A Contemporary Theory of Mathematics Education Research

Tony Brown
A Contemporary Theory of Mathematics Education Research Book PDF

Author : Tony Brown
Publisher : Springer Nature
Page : 165 pages
File Size : 55,8 Mb
Release : 2020-10-05
Category : Education
ISBN : 9783030551001

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A Contemporary Theory of Mathematics Education Research by Tony Brown Pdf

This book by-passes both psychology and sociology to present an original social theory centered on seeing mathematical learning by everyone as an intrinsic dimension of how mathematics develops as a field in support of human activity. Here, mathematics is defined by how we collectively talk about it. Drawing on psychoanalytic theory, the student is seen as participating in the renewal of mathematics through their contributions to our collective gaze on mathematics as the field responds to ever new demands. As such learning takes a critical stance on the standard initiations into current practices often promoted by formal education. In the field of mathematics education, researchers have moved from psychology where individual students were seen as following natural paths of development through existing mathematical knowledge, to socio-cultural models predicated on students being initiated into the human world and understood through the reflective gazes this world has of itself, such as those found in comparisons of student learning in different countries. This book addresses the domain, purpose and functioning of contemporary research in mathematics education and is an original contribution to this theme. The book is aimed at a mathematics education research audience. It continues a dialogue with existing publications, seen widely as a cutting edge and will also be of interest to students and practitioners in the fields of qualitative research, social theory and psychology.