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Adults Mathematical Thinking And Emotions
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Book Synopsis Adults' Mathematical Thinking and Emotions by : Jeff Evans
Download or read book Adults' Mathematical Thinking and Emotions written by Jeff Evans and published by Routledge. This book was released on 2002-01-04 with total page 313 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Understanding Emotions in Mathematical Thinking and Learning by : Ulises Xolocotzin
Download or read book Understanding Emotions in Mathematical Thinking and Learning written by Ulises Xolocotzin and published by Academic Press. This book was released on 2017-05-12 with total page 474 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Book Synopsis Affect in Mathematical Thinking and Learning by : Markku S. Hannula
Download or read book Affect in Mathematical Thinking and Learning written by Markku S. Hannula and published by . This book was released on 2004 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: Tiivistelmä: Tunne matemaattisessa ajattelussa ja matematiikan oppimisessa.
Book Synopsis New Mathematics Education Research and Practice by :
Download or read book New Mathematics Education Research and Practice written by and published by BRILL. This book was released on 2006-01-01 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Contemporary Research in Adult and Lifelong Learning of Mathematics by : Katherine Safford-Ramus
Download or read book Contemporary Research in Adult and Lifelong Learning of Mathematics written by Katherine Safford-Ramus and published by Springer. This book was released on 2018-08-17 with total page 309 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a selection of 15 papers developed by participants in ICME 13 held in Hamburg , presenting insights from the latest research on the andragogy of adult and lifelong learning of mathematics. It also investigates open questions, such as numeracy and mathematics skills, social and psychological influences on learning environments, as well as economic and political demands. The chapters offer examples, while at the same time highlighting important directions for further research. The book is divided into four parts: The first section provides an overview on the concept of “numeracy”, and the second focuses on adult students who are learning mathematics; the third part presents a teachers’ focus and the final part covers overarching themes. The book is of interest to classroom teachers, university teacher educators, and professional development providers.
Book Synopsis The Nature of Mathematical Thinking by : Robert J. Sternberg
Download or read book The Nature of Mathematical Thinking written by Robert J. Sternberg and published by Routledge. This book was released on 2012-10-12 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis EBOOK: Teaching Adult Numeracy: Principles & Practice by : Graham Griffiths
Download or read book EBOOK: Teaching Adult Numeracy: Principles & Practice written by Graham Griffiths and published by McGraw-Hill Education (UK). This book was released on 2013-09-16 with total page 329 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers friendly guidance on how to work with adult learners to develop their numeracy and mathematics skills. It brings together current research and practice on teaching adult numeracy into one handy volume and covers the major issues faced by teachers of adult numeracy such as current policy perspectives and implications for teaching practice. There are reflective tasks throughout, which encourage you to develop and apply your theoretical knowledge to your own experiences. Key features include: Reviews of existing policy and research and implications for practice Reflective tasks with commentary, encouraging you to develop and apply your knowledge Case studies of real student experiences Practical activities and ideas to support the planning, teaching and assessment of adult numeracy Drawing on the substantial experience of the contributors, who have a wealth of experience as practitioners and researchers in the field, this book is an essential resource for trainee and practising teachers of adult numeracy and mathematics. It is also an ideal textbook to support teacher training courses leading to a subject specific qualification in teaching numeracy to adults. Contributors: Jackie Ashton, John Barton, Carolyn Brooks, Martyn Edwards, Janette Gibney, David Holloway, David Kaye, Beth Kelly, Barbara Newmarch, Helen Oughton, David Prinn, Diana Spurr, Rebecca Woolley "This is a quite unique book about teaching adult numeracy, which will be invaluable to the many practitioners in this field. The chapters, contributed by a group of experienced and successful lecturers and practitioners, include all aspects of this field, from methods of teaching specific mathematical topics to more general explorations of dyscalculia and emotional factors in adult learners. Each chapter includes research findings and thoughtful presentation of ideas with practical ideas for teaching, and tasks for the reader. This is a market which has not been served well in the past, so it is good to see the gap filled at last." Margaret Brown, Emeritus Professor of Mathematics Education, King's College London, UK "The editors of this book set out to produce a text that would support teacher-education programmes for adult numeracy, and their book does that and more. The content covers different types of learners, different settings, different understandings of what numeracy actually is; and ranges from commentary on research through case studies to "how to" hints and tips for teaching. Chapters 7 (on provoking mathematical thinking) and 8 (attitudes, beliefs and teaching) should be a required read for any adult numeracy teacher. The book would be at home on any numeracy teacher's desk, and would make an excellent set text for numeracy teacher training courses." Carol Randall, course co-ordinator for numeracy in the department of Lifelong Learning Teacher Education, University of Greenwich, UK "This book is a welcome addition to the growing literature on adult numeracy. It should be essential reading for trainee and practising adult numeracy educators. It brings together relevant research and professional wisdom on a wide variety of aspects of adult numeracy teaching and learning in an accessible way, with well-focussed tasks for readers to extend their knowledge and understanding. While the book is born out of UK concerns and issues, it is also relevant to international readers. Highly recommended." Professor Diana Coben PhD, Director, National Centre of Literacy & Numeracy for Adults, University of Waikato, New Zealand, and Hon. Trustee, Adults Learning Mathematics - A Research Forum (ALM -- www.alm-online.net/)
Book Synopsis How Our Emotions and Bodies Are Vital for Abstract Thought by : Anna Sverdlik
Download or read book How Our Emotions and Bodies Are Vital for Abstract Thought written by Anna Sverdlik and published by Routledge. This book was released on 2018 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: If mathematics is the purest form of knowledge, the perfect foundation of all the hard sciences, and a uniquely precise discipline, then how can the human brain, an imperfect and imprecise organ, process mathematical ideas? Is mathematics made up of eternal, universal truths? Or, as some have claimed, could mathematics simply be a human invention, a kind of tool or metaphor? These questions are among the greatest enigmas of science and epistemology, discussed at length by mathematicians, physicians, and philosophers. But, curiously enough, neuroscientists have been absent in the debate, even though it is precisely the field of neuroscience--which studies the brain's mechanisms for thinking and reasoning--that ought to be at the very center of these discussions. How our Emotions and Bodies are Vital for Abstract Thought explores the unique mechanisms of cooperation between the body, emotions, and the cortex, based on fundamental physical principles. It is these mechanisms that help us to overcome the limitations of our physiology and allow our imperfect, human brains to make transcendent mathematical discoveries. This book is written for anyone who is interested in the nature of abstract thought, including mathematicians, physicists, computer scientists, psychologists, and psychiatrists.
Book Synopsis How Humans Learn to Think Mathematically by : David Tall
Download or read book How Humans Learn to Think Mathematically written by David Tall and published by Cambridge University Press. This book was released on 2013-09-02 with total page 483 pages. Available in PDF, EPUB and Kindle. Book excerpt: How Humans Learn to Think Mathematically describes the development of mathematical thinking from the young child to the sophisticated adult. Professor David Tall reveals the reasons why mathematical concepts that make sense in one context may become problematic in another. For example, a child's experience of whole number arithmetic successively affects subsequent understanding of fractions, negative numbers, algebra, and the introduction of definitions and proof. Tall's explanations for these developments are accessible to a general audience while encouraging specialists to relate their areas of expertise to the full range of mathematical thinking. The book offers a comprehensive framework for understanding mathematical growth, from practical beginnings through theoretical developments, to the continuing evolution of mathematical thinking at the highest level.
Book Synopsis Mathematical Reasoning by : Raymond Nickerson
Download or read book Mathematical Reasoning written by Raymond Nickerson and published by Psychology Press. This book was released on 2011-02-25 with total page 628 pages. Available in PDF, EPUB and Kindle. Book excerpt: The development of mathematical competence -- both by humans as a species over millennia and by individuals over their lifetimes -- is a fascinating aspect of human cognition. This book explores when and why the rudiments of mathematical capability first appeared among human beings, what its fundamental concepts are, and how and why it has grown into the richly branching complex of specialties that it is today. It discusses whether the ‘truths’ of mathematics are discoveries or inventions, and what prompts the emergence of concepts that appear to be descriptive of nothing in human experience. Also covered is the role of esthetics in mathematics: What exactly are mathematicians seeing when they describe a mathematical entity as ‘beautiful’? There is discussion of whether mathematical disability is distinguishable from a general cognitive deficit and whether the potential for mathematical reasoning is best developed through instruction. This volume is unique in the vast range of psychological questions it covers, as revealed in the work habits and products of numerous mathematicians. It provides fascinating reading for researchers and students with an interest in cognition in general and mathematical cognition in particular. Instructors of mathematics will also find the book’s insights illuminating.
Download or read book Deep Thinking written by William Byers and published by World Scientific. This book was released on 2014-09-22 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: There is more than one way to think. Most people are familiar with the systematic, rule-based thinking that one finds in a mathematical proof or a computer program. But such thinking does not produce breakthroughs in mathematics and science nor is it the kind of thinking that results in significant learning. Deep thinking is a different and more basic way of using the mind. It results in the discontinuous “aha!” experience, which is the essence of creativity. It is at the heart of every paradigm shift or reframing of a problematic situation. The identification of deep thinking as the default state of the mind has the potential to reframe our current approach to technological change, education, and the nature of mathematics and science. For example, there is an unbridgeable gap between deep thinking and computer simulations of thinking. Many people suspect that such a gap exists, but find it difficult to make this intuition precise. This book identifies the way in which the authentic intelligence of deep thinking differs from the artificial intelligence of “big data” and “analytics”. Deep thinking is the essential ingredient in every significant learning experience, which leads to a new way to think about education. It is also essential to the construction of conceptual systems that are at the heart of mathematics and science, and of the technologies that shape the modern world. Deep thinking can be found whenever one conceptual system morphs into another. The sources of this study include the cognitive development of numbers in children, neuropsychology, the study of creativity, and the historical development of mathematics and science. The approach is unusual and original. It comes out of the author's lengthy experience as a mathematician, teacher, and writer of books about mathematics and science, such as How Mathematicians Think: Using Ambiguity, Contradiction, and Paradox to Create Mathematics and The Blind Spot: Science and the Crisis of Uncertainty. Contents:What is Deep Thinking?Conceptual SystemsDeep Thinking in Mathematics and ScienceDeep Thinking in the Mind and the BrainDeep Thinking and CreativityDeep LearningGood TeachingUndergraduate MathematicsWhat the Mind Can Teach Us About MathematicsWhat Mathematics Can Teach Us About the MindReferences Readership: Students, graduate students and researchers with an interest in mathematics, mathematicians, scientists, philosophers, psychologists, and readers who use mathematics in their work. Key Features:In this book, the author, a mathematician, demonstrates the specific difference between creative mathematical thought and the analytic thought of logic and the artificial intelligence of computersThis book shows why learning is a creative activity and demonstrates how teaching and learning must undergo radical changes in this age of rapid technological changeMathematics is a model for how people think and it reveals the essence of intelligenceThe author, a mathematician, demonstrates that creativity is a basic feature of the world. The same phenomenon of creative intelligence underlies the theory of evolution, child development, learning, and scientific and mathematical research. Creativity is so natural that even babies are capable of it but so difficult that adults have great trouble with it. This book explains the reasons behind this apparent paradoxKeywords:Mathematics;Cognitive Development;Thinking;Education;Mathematics Education;Conceptual Systems
Book Synopsis International Bibliography of Book Reviews of Scholarly Literature Chiefly in the Fields of Arts and Humanities and the Social Sciences by :
Download or read book International Bibliography of Book Reviews of Scholarly Literature Chiefly in the Fields of Arts and Humanities and the Social Sciences written by and published by . This book was released on 2001 with total page 888 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Affect and Mathematical Problem Solving by : Douglas B. McLeod
Download or read book Affect and Mathematical Problem Solving written by Douglas B. McLeod and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Thinking Together by : Rozlynn Dance
Download or read book Thinking Together written by Rozlynn Dance and published by Heinemann Educational Books. This book was released on 2018 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt: Want students to understand-really understand-and retain the math they're learning? Focus on building your classroom community first. In Thinking Together, veteran teachers Rozlynn Dance and Tessa Kaplan explore nine beliefs that lead to a powerful community of learners. When students are part of a classroom where they feel valued and included, they are more likely to take risks, ask questions, and grow exponentially as mathematicians. Rozlynn and Tessa tell us, "We must create a kind, caring, trusting community of learners who feel comfortable tackling the unknown, taking risks, and making mistakes." This book doesn't pretend teaching is simple-instead, it celebrates the potential in the everyday messiness of learning together. Each chapter includes: opportunities to reflect on your practice through an exploration of beliefs such as "Mistakes are great!" and "It's not just about the answer" practical guidance for building your classroom community through student-centered strategies and classroom examples "When Things Don't Seem to be Working" sections for troubleshooting common challenges and adapting to teaching that doesn't go as planned. An environment fine-tuned for learning creates conditions in which your students can thrive as mathematical thinkers. Thinking Together will help shape your beliefs about what it means to be a learning community and provide support for building those beliefs into your classroom.
Book Synopsis Journal for Research in Mathematics Education by :
Download or read book Journal for Research in Mathematics Education written by and published by . This book was released on 2015 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Mathematics Anxiety by : Irene C. Mammarella
Download or read book Mathematics Anxiety written by Irene C. Mammarella and published by Routledge. This book was released on 2019-02-18 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: Feelings of apprehension and fear brought on by mathematical performance can affect correct mathematical application and can influence the achievement and future paths of individuals affected by it. In recent years, mathematics anxiety has become a subject of increasing interest both in educational and clinical settings. This ground-breaking collection presents theoretical, educational and psychophysiological perspectives on the widespread phenomenon of mathematics anxiety. Featuring contributions from leading international researchers, Mathematics Anxiety challenges preconceptions and clarifies several crucial areas of research, such as the distinction between mathematics anxiety from other forms of anxiety (i.e., general or test anxiety); the ways in which mathematics anxiety has been assessed (e.g. throughout self-report questionnaires or psychophysiological measures); the need to clarify the direction of the relationship between math anxiety and mathematics achievement (which causes which). Offering a revaluation of the negative connotations usually associated with mathematics anxiety and prompting avenues for future research, this book will be invaluable to academics and students in the field psychological and educational sciences, as well as teachers working with students who are struggling with mathematics anxiety
Download or read book Feeling Great written by Todd Whitaker and published by Routledge. This book was released on 2017-08-09 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Educator's spend so much time taking care of others that we sometimes forget to take care of ourselves! This book will help teachers, principals, professors, and all educators find time in our busy schedules to focus on our physical self. You will learn how to: - Make time for exercise in your hectic daily schedule - Learn how to feel your best every day - Eat right even when on the go - Keep your fitness momentum going all year - Turn your daily routines into healthy habits.
