Understanding Emotions In Mathematical Thinking And Learning

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Understanding Emotions in Mathematical Thinking and Learning

Ulises Xolocotzin
Understanding Emotions in Mathematical Thinking and Learning Book PDF

Author : Ulises Xolocotzin
Publisher : Academic Press
Page : 474 pages
File Size : 47,5 Mb
Release : 2017-05-12
Category : Psychology
ISBN : 9780128024898

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Understanding Emotions in Mathematical Thinking and Learning by Ulises Xolocotzin Pdf

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

Jeff Evans
Adults Mathematical Thinking and Emotions Book PDF

Author : Jeff Evans
Publisher : Routledge
Page : 313 pages
File Size : 46,9 Mb
Release : 2002-01-04
Category : Education
ISBN : 9781135701918

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Adults' Mathematical Thinking and Emotions by Jeff Evans Pdf

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.

Affect in Mathematical Thinking and Learning

Markku S. Hannula
Affect in Mathematical Thinking and Learning Book PDF

Author : Markku S. Hannula
Publisher : Unknown
Page : 176 pages
File Size : 47,7 Mb
Release : 2004
Category : Attitude (Psychology)
ISBN : CORNELL:31924102005612

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Affect in Mathematical Thinking and Learning by Markku S. Hannula Pdf

Tiivistelmä: Tunne matemaattisessa ajattelussa ja matematiikan oppimisessa.

Mathematical Learning and Understanding in Education

Kristie Newton,Sarah Sword
Mathematical Learning and Understanding in Education Book PDF

Author : Kristie Newton,Sarah Sword
Publisher : Routledge
Page : 112 pages
File Size : 53,8 Mb
Release : 2018-05-16
Category : Education
ISBN : 9781134983452

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Mathematical Learning and Understanding in Education by Kristie Newton,Sarah Sword Pdf

Mathematics holds an essential, ubiquitous presence in the education sector, as do ongoing explorations of its effective teaching and learning. Written by leading experts on mathematics and mathematics education, this book situates issues of student thinking and learning about mathematics within the broader context of educational psychology research and theory and brings them to a wider audience. With chapters on knowing and understanding mathematics, mathematical habits, early mathematical thinking, and learning mathematics, this concise volume is designed for any educational psychology, mathematics education, or general education course that includes student learning in the curriculum. It will be indispensable for student researchers and both pre- and in-service teachers alike.

The Nature of Mathematical Thinking

Robert J. Sternberg,Talia Ben-Zeev
The Nature of Mathematical Thinking Book PDF

Author : Robert J. Sternberg,Talia Ben-Zeev
Publisher : Routledge
Page : 356 pages
File Size : 49,6 Mb
Release : 2012-10-12
Category : Education
ISBN : 9781136487507

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The Nature of Mathematical Thinking by Robert J. Sternberg,Talia Ben-Zeev Pdf

Why do some children seem to learn mathematics easily and others slave away at it, learning it only with great effort and apparent pain? Why are some people good at algebra but terrible at geometry? How can people who successfully run a business as adults have been failures at math in school? How come some professional mathematicians suffer terribly when trying to balance a checkbook? And why do school children in the United States perform so dismally in international comparisons? These are the kinds of real questions the editors set out to answer, or at least address, in editing this book on mathematical thinking. Their goal was to seek a diversity of contributors representing multiple viewpoints whose expertise might converge on the answers to these and other pressing and interesting questions regarding this subject. The chapter authors were asked to focus on their own approach to mathematical thinking, but also to address a common core of issues such as the nature of mathematical thinking, how it is similar to and different from other kinds of thinking, what makes some people or some groups better than others in this subject area, and how mathematical thinking can be assessed and taught. Their work is directed to a diverse audience -- psychologists interested in the nature of mathematical thinking and abilities, computer scientists who want to simulate mathematical thinking, educators involved in teaching and testing mathematical thinking, philosophers who need to understand the qualitative aspects of logical thinking, anthropologists and others interested in how and why mathematical thinking seems to differ in quality across cultures, and laypeople and others who have to think mathematically and want to understand how they are going to accomplish that feat.

Mathematical Modelling Education and Sense-making

Gloria Ann Stillman,Gabriele Kaiser,Christine Erna Lampen
Mathematical Modelling Education and Sense making Book PDF

Author : Gloria Ann Stillman,Gabriele Kaiser,Christine Erna Lampen
Publisher : Springer Nature
Page : 502 pages
File Size : 54,6 Mb
Release : 2020-05-14
Category : Education
ISBN : 9783030376734

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Mathematical Modelling Education and Sense-making by Gloria Ann Stillman,Gabriele Kaiser,Christine Erna Lampen Pdf

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.

Transforming Learning and Teaching

Anonim
Transforming Learning and Teaching Book PDF

Author : Anonim
Publisher : BRILL
Page : 434 pages
File Size : 53,5 Mb
Release : 2021-11-29
Category : Education
ISBN : 9789004507609

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Transforming Learning and Teaching by Anonim Pdf

This book consists of 19 chapters on heuristics – reflexive tools, designed to heighten awareness of actions and catalyze desired changes. Thirty-three heuristics address six foci: teaching and learning, learning to teach, emotions, wellness, contemplative activities, and harmony.

A Cultural-Historical Perspective on Mathematics Teaching and Learning

Wolff-Michael Roth,Luis Radford
A Cultural Historical Perspective on Mathematics Teaching and Learning Book PDF

Author : Wolff-Michael Roth,Luis Radford
Publisher : Springer Science & Business Media
Page : 189 pages
File Size : 48,8 Mb
Release : 2011-11-22
Category : Education
ISBN : 9789460915642

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A Cultural-Historical Perspective on Mathematics Teaching and Learning by Wolff-Michael Roth,Luis Radford Pdf

Eighty years ago, L. S. Vygotsky complained that psychology was misled in studying thought independent of emotion. This situation has not significantly changed, as most learning scientists continue to study cognition independent of emotion. In this book, the authors use cultural-historical activity theory as a perspective to investigate cognition, emotion, learning, and teaching in mathematics. Drawing on data from a longitudinal research program about the teaching and learning of algebra in elementary schools, Roth and Radford show (a) how emotions are reproduced and transformed in and through activity and (b) that in assessments of students about their progress in the activity, cognitive and emotional dimensions cannot be separated. Three features are salient in the analyses: (a) the irreducible connection between emotion and cognition mediates teacher-student interactions; (b) the zone of proximal development is itself a historical and cultural emergent product of joint teacher-students activity; and (c) as an outcome of joint activity, the object/motive of activity emerges as the real outcome of the learning activity. The authors use these results to propose (a) a different conceptualization of the zone of proximal development, (b) activity theory as an alternative to learning as individual/social construction, and (c) a way of understanding the material/ideal nature of objects in activity. Wolff-Michael Roth is Lansdowne Professor at the University of Victoria, Canada. He researches scientific and mathematical cognition along the life span from cultural-historical and phenomenological perspectives. He has conducted research in science and mathematics classrooms as well as having realized multi-year ethnographic studies of science and mathematics in workplaces and scientific research. Luis Radford is full professor at Laurentian University in Canada. His research interests include the investigation of mathematics thinking and knowing from a cultural-semiotic embodied perspective and the historical and cultural roots of cognition. For many years he has been conducting classroom research with primary and high-school teachers about the teaching and learning of mathematics.

From beliefs to dynamic affect systems in mathematics education

Birgit Pepin,Bettina Roesken-Winter
From beliefs to dynamic affect systems in mathematics education Book PDF

Author : Birgit Pepin,Bettina Roesken-Winter
Publisher : Springer
Page : 407 pages
File Size : 54,9 Mb
Release : 2014-10-21
Category : Education
ISBN : 9783319068084

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From beliefs to dynamic affect systems in mathematics education by Birgit Pepin,Bettina Roesken-Winter Pdf

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?

Affect in Mathematical Modeling

Scott A. Chamberlin,Bharath Sriraman
Affect in Mathematical Modeling Book PDF

Author : Scott A. Chamberlin,Bharath Sriraman
Publisher : Springer
Page : 325 pages
File Size : 55,5 Mb
Release : 2019-06-03
Category : Education
ISBN : 9783030044329

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Affect in Mathematical Modeling by Scott A. Chamberlin,Bharath Sriraman Pdf

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.

Teaching and Learning Mathematics Online

James P. Howard, II,John F. Beyers
Teaching and Learning Mathematics Online Book PDF

Author : James P. Howard, II,John F. Beyers
Publisher : CRC Press
Page : 439 pages
File Size : 48,7 Mb
Release : 2020-05-10
Category : Mathematics
ISBN : 9781351245579

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Teaching and Learning Mathematics Online by James P. Howard, II,John F. Beyers Pdf

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

The Philosophy of Mathematics Education Today

Paul Ernest
The Philosophy of Mathematics Education Today Book PDF

Author : Paul Ernest
Publisher : Springer
Page : 377 pages
File Size : 41,8 Mb
Release : 2018-06-09
Category : Education
ISBN : 9783319777603

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The Philosophy of Mathematics Education Today by Paul Ernest Pdf

This book offers an up-to-date overview of the research on philosophy of mathematics education, one of the most important and relevant areas of theory. The contributions analyse, question, challenge, and critique the claims of mathematics education practice, policy, theory and research, offering ways forward for new and better solutions. The book poses basic questions, including: What are our aims of teaching and learning mathematics? What is mathematics anyway? How is mathematics related to society in the 21st century? How do students learn mathematics? What have we learnt about mathematics teaching? Applied philosophy can help to answer these and other fundamental questions, and only through an in-depth analysis can the practice of the teaching and learning of mathematics be improved. The book addresses important themes, such as critical mathematics education, the traditional role of mathematics in schools during the current unprecedented political, social, and environmental crises, and the way in which the teaching and learning of mathematics can better serve social justice and make the world a better place for the future.

Teaching and Learning Mathematics through Variation

Rongjin Huang,Yeping Li
Teaching and Learning Mathematics through Variation Book PDF

Author : Rongjin Huang,Yeping Li
Publisher : Springer
Page : 460 pages
File Size : 47,8 Mb
Release : 2017-02-06
Category : Education
ISBN : 9789463007825

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Teaching and Learning Mathematics through Variation by Rongjin Huang,Yeping Li Pdf

"Efforts to improve mathematics teaching and learning globally have led to the ever-increasing interest in searching for alternative and effective instructional approaches from others. Students from East Asia, such as China and Japan, have consistently outperformed their counterparts in the West. Yet, Bianshi Teaching (teaching with variation) practice, which has been commonly used in practice in China, has been hardly shared in the mathematics education community internationally. This book is devoted to theorizing the Chinese mathematical teaching practice, Bianshi teaching, that has demonstrated its effectiveness over half a century; examining its systematic use in classroom instruction, textbooks, and teacher professional development in China; and showcasing of the adaptation of the variation pedagogy in selected education systems including Israel, Japan, Sweden and the US. This book has made significant contributions to not only developing the theories on teaching and learning mathematics through variation, but also providing pathways to putting the variation theory into action in an international context.“This book paints a richly detailed and elaborated picture of both teaching mathematics and learning to teach mathematics with variation. Teaching with variation and variation as a theory of learning are brought together to be theorized and exemplified through analysis of teaching in a wide variety of classrooms and targeting both the content and processes of mathematical thinking. Highly recommended.” – Kaye Stacey, Emeritus Professor of Mathematics Education, University of Melbourne, Australia “Many teachers in England are excited by the concept of teaching with variation and devising variation exercises to support their pupils’ mastery of mathematics. However, fully understanding and becoming proficient in its use takes time. This book provides a valuable resource to deepen understanding through the experiences of other teachers shared within the book and the insightful reflections of those who have researched this important area. – Debbie Morgan, Director for Primary Mathematics, National Centre for Excellence in the Teaching of Mathematics, United Kingdom"

International Handbook of Mathematical Learning Difficulties

Annemarie Fritz,Vitor Geraldi Haase,Pekka Räsänen
International Handbook of Mathematical Learning Difficulties Book PDF

Author : Annemarie Fritz,Vitor Geraldi Haase,Pekka Räsänen
Publisher : Springer
Page : 834 pages
File Size : 44,7 Mb
Release : 2019-01-30
Category : Education
ISBN : 9783319971483

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International Handbook of Mathematical Learning Difficulties by Annemarie Fritz,Vitor Geraldi Haase,Pekka Räsänen Pdf

This comprehensive volume provides teachers, researchers and education professionals with cutting edge knowledge developed in the last decades by the educational, behavioural and neurosciences, integrating cognitive, developmental and socioeconomic approaches to deal with the problems children face in learning mathematics. The neurocognitive mechanisms and the cognitive processes underlying acquisition of arithmetic abilities and their significance for education have been the subject of intense research in the last few decades, but the most part of this research has been conducted in non-applied settings and there’s still a deep discrepancy between the level of scientific knowledge and its implementation into actual educational settings. Now it’s time to bring the results from the laboratory to the classroom. Apart from bringing the theoretical discussions to educational settings, the volume presents a wide range of methods for early detection of children with risks in mathematics learning and strategies to develop effective interventions based on innovative cognitive test instruments. It also provides insights to translate research knowledge into public policies in order to address socioeconomic issues. And it does so from an international perspective, dedicating a whole section to the cultural diversity of mathematics learning difficulties in different parts of the world. All of this makes the International Handbook of Mathematical Learning Difficulties an essential tool for those involved in the daily struggle to prepare the future generations to succeed in the global knowledge society.

Broadening the Scope of Research on Mathematical Problem Solving

Nélia Amado,Susana Carreira,Keith Jones
Broadening the Scope of Research on Mathematical Problem Solving Book PDF

Author : Nélia Amado,Susana Carreira,Keith Jones
Publisher : Springer
Page : 579 pages
File Size : 53,5 Mb
Release : 2018-11-30
Category : Education
ISBN : 9783319998619

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Broadening the Scope of Research on Mathematical Problem Solving by Nélia Amado,Susana Carreira,Keith Jones Pdf

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.