Understanding Emotions in Mathematical Thinking and Learning
Understanding Emotions in Mathematical Thinking and Learning

Author: Ulises Xolocotzin

Publisher: Academic Press

Published: 2017-05-12

Total Pages: 476

ISBN-13: 0128024895

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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

Adults' Mathematical Thinking and Emotions
Adults' Mathematical Thinking and Emotions

Author: Jeff Evans

Publisher: Routledge

Published: 2002-01-04

Total Pages: 313

ISBN-13: 1135701911

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The crisis around teaching and learning of mathematics and its use in everyday life and work relate to a number of issues. These include: The doubtful transferability of school maths to real life contexts, the declining participation in A level and higher education maths courses, the apparent exclusion of some groups, such as women and the aversion of many people to maths. This book addresses these issues by considering a number of key problems in maths education and numeracy: *differences among social groups, especially those related to gender and social class *the inseparability of cognition and emotion in mathematical activity *the understanding of maths anxiety in traditional psychological, psychoanalytical and feminist theories *how adults' numerate thinking and performance must be understood in context. The author's findings have practical applications in education and training, such as clarifying problems of the transfer of learning, and of countering maths anxiety.

The Nature of Mathematical Thinking
The Nature of Mathematical Thinking

Author: Robert J. Sternberg

Publisher: Psychology Press

Published: 1996

Total Pages: 356

ISBN-13: 9780805817997

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First Published in 1996. Routledge is an imprint of Taylor & Francis, an informa company.

Psychology Behind Mathematics - The Comprehensive Guide
Psychology Behind Mathematics - The Comprehensive Guide

Author: VIRUTI SATYAN SHIVAN

Publisher: Viruti Satyan Shivan

Published:

Total Pages: 205

ISBN-13:

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Dive into the fascinating intersection of mind and math with "Psychology Behind Mathematics: The Comprehensive Guide." This book offers an unparalleled exploration into how psychological principles shape our understanding and capabilities in mathematics. It sheds light on the cognitive processes, learning strategies, and emotional factors that influence mathematical comprehension and problem-solving skills. By bridging the gap between abstract numerical concepts and tangible psychological insights, this guide promises to transform your approach to mathematics, making it more accessible, enjoyable, and profoundly rewarding. Without relying on images or illustrations to avoid copyright issues, the book meticulously presents complex ideas through vivid descriptions and compelling narratives, ensuring a rich and immersive learning experience. Whether you're a student struggling with numbers, a teacher seeking innovative teaching strategies, or simply a math enthusiast curious about the psychological aspects of this universal language, this book is your key to unlocking a deeper, more intuitive understanding of mathematics. It goes beyond traditional methods to present a holistic view of the mathematical mind, incorporating research findings, case studies, and practical exercises. "Psychology Behind Mathematics: The Comprehensive Guide" is not just a book; it's a journey into the heart of mathematics through the lens of psychology, promising to enlighten, inspire, and empower its readers.

Mathematical Modelling Education and Sense-making
Mathematical Modelling Education and Sense-making

Author: Gloria Ann Stillman

Publisher: Springer Nature

Published: 2020-05-14

Total Pages: 502

ISBN-13: 3030376737

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This volume documents on-going research and theorising in the sub-field of mathematics education devoted to the teaching and learning of mathematical modelling and applications. Mathematical modelling provides a way of conceiving and resolving problems in people’s everyday lives as well as sophisticated new problems for society at large. Mathematical modelling and real world applications are considered as having potential for cultivating sense making in classroom settings. This book focuses on the educational perspective, researching the complexities encountered in effective teaching and learning of real world modelling and applications for sense making is only beginning. All authors of this volume are members of the International Community of Teachers of Mathematical Modelling (ICTMA), the peak research body into researching the teaching and learning of mathematical modelling at all levels of education from the early years to tertiary education as well as in the workplace.

Affect and Mathematical Problem Solving
Affect and Mathematical Problem Solving

Author: Douglas B. McLeod

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 246

ISBN-13: 1461236142

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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 in Mathematical Modeling
Affect in Mathematical Modeling

Author: Scott A. Chamberlin

Publisher: Springer

Published: 2019-06-03

Total Pages: 325

ISBN-13: 3030044327

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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.

From beliefs to dynamic affect systems in mathematics education
From beliefs to dynamic affect systems in mathematics education

Author: Birgit Pepin

Publisher: Springer

Published: 2014-10-21

Total Pages: 415

ISBN-13: 3319068083

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This book connects seminal work in affect research and moves forward to provide a developing perspective on affect as the “decisive variable” of the mathematics classroom. In particular, the book contributes and investigates new conceptual frameworks and new methodological ‘tools’ in affect research and introduces the new field of ‘collectives’ to explore affect systems in diverse settings. Investigated by internationally renowned scholars, the book is build up in three dimensions. The first part of the book provides an overview of selected theoretical frames - theoretical lenses - to study the mosaic of relationships and interactions in the field of affect. In the second part the theory is enriched by empirical research studies and provides relevant findings in terms of developing deeper understandings of individuals’ and collectives’ affective systems in mathematics education. Here pupil and teacher beliefs and affect systems are examined more closely. The final part investigates the methodological tools used and needed in affect research. How can the different methodological designs contribute data which help us to develop better understandings of teachers’ and pupils’ affect systems for teaching and learning mathematics and in which ways are knowledge and affect related?

Teaching and Learning Mathematics Online
Teaching and Learning Mathematics Online

Author: James P. Howard, II

Publisher: CRC Press

Published: 2020-05-10

Total Pages: 439

ISBN-13: 1351245570

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Online education has become a major component of higher education worldwide. In mathematics and statistics courses, there exists a number of challenges that are unique to the teaching and learning of mathematics and statistics in an online environment. These challenges are deeply connected to already existing difficulties related to math anxiety, conceptual understanding of mathematical ideas, communicating mathematically, and the appropriate use of technology. Teaching and Learning Mathematics Online bridges these issues by presenting meaningful and practical solutions for teaching mathematics and statistics online. It focuses on the problems observed by mathematics instructors currently working in the field who strive to hone their craft and share best practices with our professional community. The book provides a set of standard practices, improving the quality of online teaching and the learning of mathematics. Instructors will benefit from learning new techniques and approaches to delivering content. Features Based on the experiences of working educators in the field Assimilates the latest technology developments for interactive distance education Focuses on mathematical education for developing early mathematics courses