The Psychology Of Mathematics Education

Author : Anderson Norton
Publisher : Routledge
Page : 238 pages
File Size : 41,6 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.

Author : Angel Gutiérrez,Paolo Boero
Publisher : Sense Publishers
Page : 538 pages
File Size : 46,7 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.

Author : Ángel Gutiérrez,Gilah C. Leder,Paolo Boero
Publisher : Springer
Page : 558 pages
File Size : 44,7 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.

Author : Richard R. Skemp
Publisher : Psychology Press
Page : 227 pages
File Size : 52,5 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.

Author : Richard R. Skemp
Publisher : Routledge
Page : 227 pages
File Size : 52,9 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.

Author : Anonim
Publisher : BRILL
Page : 533 pages
File Size : 49,8 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.

Author : Anderson Norton,Martha W. Alibali
Publisher : Springer
Page : 377 pages
File Size : 50,5 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.

Author : Pearla Nesher,Jeremy Kilpatrick
Publisher : CUP Archive
Page : 234 pages
File Size : 46,5 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.

Author : Lyn D. English,Graeme S. Halford
Publisher : Routledge
Page : 364 pages
File Size : 41,6 Mb
Release : 2012-12-06
Category : Education
ISBN : 9781136481550

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Mathematics Education by Lyn D. English,Graeme S. Halford Pdf

To define better techniques of mathematics education, this book combines a knowledge of cognitive science with mathematics curriculum theory and research. The concept of the human reasoning process has been changed fundamentally by cognitive science in the last two decades. The role of memory retrieval, domain-specific and domain-general skills, analogy, and mental models is better understood now than previously. The authors believe that cognitive science provides the most accurate account thus far of the actual processes that people use in mathematics and offers the best potential for genuine increases in efficiency. As such, they suggest that a cognitive science approach enables constructivist ideas to be analyzed and further developed in the search for greater understanding of children's mathematical learning. Not simply an application of cognitive science, however, this book provides a new perspective on mathematics education by examining the nature of mathematical concepts and processes, how and why they are taught, why certain approaches appear more effective than others, and how children might be assisted to become more mathematically powerful. The authors use recent theories of analogy and knowledge representation -- combined with research on teaching practice -- to find ways of helping children form links and correspondences between different concepts, so as to overcome problems associated with fragmented knowledge. In so doing, they have capitalized on new insights into the values and limitations of using concrete teaching aids which can be analyzed in terms of analogy theory. In addition to addressing the role of understanding, the authors have analyzed skill acquisition models in terms of their implications for the development of mathematical competence. They place strong emphasis on the development of students' mathematical reasoning and problem solving skills to promote flexible use of knowledge. The book further demonstrates how children have a number of general problem solving skills at their disposal which they can apply independently to the solution of novel problems, resulting in the enhancement of their mathematical knowledge.

Author : International Group for the Psychology of Mathematics Education. North American Chapter. Meeting
Publisher : Unknown
Page : 230 pages
File Size : 40,9 Mb
Release : 1981
Category : Mathematics
ISBN : STANFORD:36105032958741

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Psychology of Mathematics Education by International Group for the Psychology of Mathematics Education. North American Chapter. Meeting Pdf

Author : Markku S. Hannula,Gilah C. Leder,Francesca Morselli,Maike Vollstedt,Qiaoping Zhang
Publisher : Springer
Page : 437 pages
File Size : 50,7 Mb
Release : 2019-06-03
Category : Education
ISBN : 9783030137618

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Affect and Mathematics Education by Markku S. Hannula,Gilah C. Leder,Francesca Morselli,Maike Vollstedt,Qiaoping Zhang Pdf

This open access book, inspired by the ICME 13 topic study group “Affect, beliefs and identity in mathematics education”, presents the latest trends in research in the area. Following an introduction and a survey chapter providing a concise overview of the state-of-art in the field of mathematics-related affect, the book is divided into three main sections: motivation and values, engagement, and identity in mathematics education. Each section comprises several independent chapters based on original research, as well as a reflective commentary by an expert in the area. Collectively, the chapters present a rich methodological spectrum, from narrative analysis to structural equation modelling. In the final chapter, the editors look ahead to future directions in the area of mathematics-education-related affect. It is a timely resource for all those interested in the interaction between affect and mathematics education.

Author : Shlomo Vinner
Publisher : Springer
Page : 141 pages
File Size : 46,8 Mb
Release : 2019-04-26
Category : Mathematics
ISBN : 9783319900353

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Mathematics, Education, and Other Endangered Species by Shlomo Vinner Pdf

This book examines the critical roles and effects of mathematics education. The exposition draws from the author’s forty-year mathematics career, integrating his research in the psychology of mathematical thinking into an overview of the true definition of math. The intention for the reader is to undergo a “corrective” experience, obtaining a clear message on how mathematical thinking tools can help all people cope with everyday life. For those who have struggled with math in the past, the book also aims to clarify that math learning difficulties are likely a result of improper pedagogy as opposed to any lack of intelligence on the part of the student. This personal treatise will be of interest to a variety of readers, from mathematics teachers and those who train them to those with an interest in education but who may lack a solid math background.

Author : Tony Brown
Publisher : Springer Nature
Page : 165 pages
File Size : 51,9 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.

Author : Anonim
Publisher : BRILL
Page : 243 pages
File Size : 54,9 Mb
Release : 2008-01-01
Category : Education
ISBN : 9789087905583

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The Psychology of Mathematics Education by Anonim Pdf

This book paints an alternative and contemporary portrait of psychology within mathematics education, drawing on psychoanalytic practices and theory. Mathematics education is still a fairly new social science that began as an adjunct to the practice of mathematics in schools some forty years ago, defined by a marriage with cognitive psychology.

Author : L. B. Resnick,W. W. Ford
Publisher : Routledge
Page : 273 pages
File Size : 52,7 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.