Affect In Mathematical Thinking And Learning

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Affect in Mathematical Thinking and Learning

Author : Markku S. Hannula
Publisher : Unknown
Page : 176 pages
File Size : 41,9 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.

Understanding Emotions in Mathematical Thinking and Learning

Author : Ulises Xolocotzin
Publisher : Academic Press
Page : 474 pages
File Size : 53,6 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

How Not to Be Wrong

Author : Jordan Ellenberg
Publisher : Penguin Press
Page : 480 pages
File Size : 46,6 Mb
Release : 2014-05-29
Category : Mathematics
ISBN : 9781594205224

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How Not to Be Wrong by Jordan Ellenberg Pdf

A brilliant tour of mathematical thought and a guide to becoming a better thinker, How Not to Be Wrong shows that math is not just a long list of rules to be learned and carried out by rote. Math touches everything we do; It's what makes the world make sense. Using the mathematician's methods and hard-won insights-minus the jargon-professor and popular columnist Jordan Ellenberg guides general readers through his ideas with rigor and lively irreverence, infusing everything from election results to baseball to the existence of God and the psychology of slime molds with a heightened sense of clarity and wonder. Armed with the tools of mathematics, we can see the hidden structures beneath the messy and chaotic surface of our daily lives. How Not to Be Wrong shows us how--Publisher's description.

Adults' Mathematical Thinking and Emotions

Author : Jeff Evans
Publisher : Routledge
Page : 313 pages
File Size : 55,7 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 and Mathematical Problem Solving

Author : Douglas B. McLeod,Verna M. Adams
Publisher : Springer Science & Business Media
Page : 246 pages
File Size : 54,8 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461236146

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Affect and Mathematical Problem Solving by Douglas B. McLeod,Verna M. Adams Pdf

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.

From beliefs to dynamic affect systems in mathematics education

Author : Birgit Pepin,Bettina Roesken-Winter
Publisher : Springer
Page : 407 pages
File Size : 51,6 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?

New Mathematics Education Research and Practice

Author : Anonim
Publisher : BRILL
Page : 321 pages
File Size : 40,6 Mb
Release : 2006-01-01
Category : Education
ISBN : 9789087903510

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New Mathematics Education Research and Practice by Anonim Pdf

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.

Beliefs: A Hidden Variable in Mathematics Education?

Author : G.C. Leder,Erkki Pehkonen,Günter Törner
Publisher : Springer Science & Business Media
Page : 367 pages
File Size : 49,9 Mb
Release : 2005-12-28
Category : Education
ISBN : 9780306479588

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Beliefs: A Hidden Variable in Mathematics Education? by G.C. Leder,Erkki Pehkonen,Günter Törner Pdf

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.

Hypothetical Learning Trajectories

Author : Douglas H. Clements,Julie Sarama
Publisher : Routledge
Page : 188 pages
File Size : 51,6 Mb
Release : 2012-12-06
Category : Education
ISBN : 9781136506949

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Hypothetical Learning Trajectories by Douglas H. Clements,Julie Sarama Pdf

The purpose of this special issue is to present several research perspectives on learning trajectories with the intention of encouraging the broader community to reflect on, better define, adopt, adapt, or challenge the concept. The issue begins by briefly introducing learning trajectories. The remaining articles provide elaboration, examples, and discussion of the construct. They purposefully are intended to be illustrative, exploratory, and provocative with regard to learning trajectories construct; they are not a set of verification studies.

Encyclopedia of Mathematics Education

Author : Stephen Lerman
Publisher : Springer
Page : 916 pages
File Size : 47,6 Mb
Release : 2020-02-07
Category : Education
ISBN : 3030157881

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Encyclopedia of Mathematics Education by Stephen Lerman Pdf

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.

Thinking Practices in Mathematics and Science Learning

Author : James G. Greeno,Shelley V. Goldman
Publisher : Routledge
Page : 451 pages
File Size : 47,8 Mb
Release : 2013-04-03
Category : Education
ISBN : 9781136485268

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Thinking Practices in Mathematics and Science Learning by James G. Greeno,Shelley V. Goldman Pdf

The term used in the title of this volume--thinking practices--evokes questions that the authors of the chapters within it begin to answer: What are thinking practices? What would schools and other learning settings look like if they were organized for the learning of thinking practices? Are thinking practices general, or do they differ by disciplines? If there are differences, what implications do those differences have for how we organize teaching and learning? How do perspectives on learning, cognition, and culture affect the kinds of learning experiences children and adults have? This volume describes advances that have been made toward answering these questions. These advances involve several agendas, including increasing interdisciplinary communication and collaboration; reconciling research on cognition with research on teaching, learning, and school culture; and strengthening the connections between research and school practice. The term thinking practices is symbolic of a combination of theoretical perspectives that have contributed to the volume editors' understanding of how people learn, how they organize their thinking inside and across disciplines, and how school learning might be better organized. By touring through some of the perspectives on thinking and learning that have evolved into school learning designs, Greeno and Goldman begin to establish a frame for what they are calling thinking practices. This volume is a significant contribution to a topic that they believe will continue to emerge as a coherent body of scientific and educational research and practice.

Broadening the Scope of Research on Mathematical Problem Solving

Author : Nélia Amado,Susana Carreira,Keith Jones
Publisher : Springer
Page : 579 pages
File Size : 41,7 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.

Views and Beliefs in Mathematics Education

Author : Benjamin Rott,Günter Törner,Joyce Peters-Dasdemir,Anne Möller,Safrudiannur
Publisher : Springer
Page : 253 pages
File Size : 49,5 Mb
Release : 2018-12-14
Category : Education
ISBN : 9783030012731

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Views and Beliefs in Mathematics Education by Benjamin Rott,Günter Törner,Joyce Peters-Dasdemir,Anne Möller,Safrudiannur Pdf

The book is made up of 21 chapters from 25 presentations at the 23rd MAVI conference in Essen, which featured Alan Schoenfeld as keynote speaker. Of major interest to MAVI participants is the relationship between teachers’ professed beliefs and classroom practice. The first section is dedicated to classroom practices and beliefs regarding those practices, taking a look at prospective or practicing teachers’ views of different practices such as decision-making, the roles of explanations, problem-solving, patterning, and the use of play. The focus of the second section in this book deals with teacher change, which is notoriously difficult, even when the teachers themselves are interested in changing their practice. The third section of this book centers on the undercurrents of teaching and learning mathematics, what rises in various situations, causing tensions and inconsistencies. The last section of this book takes a look at emerging themes in affect-related research. In this section, papers discuss attitudes towards assessment.

Developing Research in Mathematics Education

Author : Tommy Dreyfus,Michèle Artigue,Despina Potari,Susanne Prediger,Kenneth Ruthven
Publisher : Taylor & Francis
Page : 313 pages
File Size : 47,6 Mb
Release : 2018-04-27
Category : Education
ISBN : 9781351625418

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Developing Research in Mathematics Education by Tommy Dreyfus,Michèle Artigue,Despina Potari,Susanne Prediger,Kenneth Ruthven Pdf

Developing Research in Mathematics Education is the first book in the series New Perspectives on Research in Mathematics Education, to be produced in association with the prestigious European Society for Research in Mathematics Education. This inaugural volume sets out broad advances in research in mathematics education which have accumulated over the last 20 years through the sustained exchange of ideas and collaboration between researchers in the field. An impressive range of contributors provide specifically European and complementary global perspectives on major areas of research in the field on topics that include: the content domains of arithmetic, geometry, algebra, statistics, and probability; the mathematical processes of proving and modeling; teaching and learning at specific age levels from early years to university; teacher education, teaching and classroom practices; special aspects of teaching and learning mathematics such as creativity, affect, diversity, technology and history; theoretical perspectives and comparative approaches in mathematics education research. This book is a fascinating compendium of state-of-the-art knowledge for all mathematics education researchers, graduate students, teacher educators and curriculum developers worldwide.

Affect and Mathematics Education

Author : Virginia Wordsworth
Publisher : States Academic Press
Page : 213 pages
File Size : 50,9 Mb
Release : 2021-11-16
Category : Education
ISBN : 1639890270

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Affect and Mathematics Education by Virginia Wordsworth Pdf

Affect is a research topic in the field of mathematics education which focuses on the role of emotions in mathematical thinking and problem solving. Affect variables are viewed as learning outcomes. The practice of teaching and learning mathematics, and associated scholarly research in this field is termed as mathematics education. It focuses on conceptual understanding, formative assessment, algebraic reasoning and problem solving. Some of the objectives of mathematics education are teaching basic numeracy skills to students, and teaching practical mathematics, abstract mathematical concepts, advanced mathematics, etc. Classical education, computer-based mathematics education, conventional approach, exercises, and problem solving are a few methods of teaching mathematics. This book presents researches and studies performed by experts across the globe. It explores all the important aspects of affect and mathematics education in the present day scenario. Researchers and students in this field will be assisted by this book.