How Humans Learn To Think Mathematically

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Author by David Tall
Genre : Education
Publisher : Cambridge University Press
ISBN : 9781107035706
Type : PDF & Epub
Views : 483 Page
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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.


Thinking Mathematically

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Author by John Mason
Genre : Mathematics
Publisher : Pearson College Division
ISBN : 0273728911
Type : PDF & Epub
Views : 248 Page
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'Thinking Mathematically' seeks to turn this familiar statement into a promise of opportunity and exploration. The examples provided offer both a contextual and procedural base that students can easily build upon.


Understanding And Teaching Primary Mathematics

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Author by Tony Cotton
Genre : Education
Publisher : Routledge
ISBN : 9781000173765
Type : PDF & Epub
Views : 328 Page
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Written by an experienced teacher and teacher educator with widespread experience of teaching mathematics in the UK and internationally, Understanding and Teaching Primary Mathematics combines pedagogy and subject knowledge to build confidence and equip you with all the skills and know-how you need to successfully teach mathematics to children of any age. This fourth edition has been fully updated to reflect the latest research developments and initiatives in the field, including a brand-new chapter on ‘Mastery and mathematics’ and ‘The Singapore approach’ which reflects the current international interest in these approaches to learning and teaching mathematics. Extra features also include helpful callouts to the book’s revised and updated companion website, which offers a shared site with a range of resources relevant to both this book and its companion volume, Teaching for Mathematical Understanding. Stimulating, accessible and well-illustrated, with comprehensive coverage of subject knowledge and pedagogy, Understanding and Teaching Primary Mathematics is an essential purchase for trainee and practising teachers alike.


Cambridge Primary Revise For Primary Checkpoint Mathematics Teacher S Handbook 2nd Edition

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Author by Paul Broadbent
Genre : Mathematics
Publisher : Hachette UK
ISBN : 9781398371415
Type : PDF & Epub
Views : 132 Page
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Focus revision where learners need most support and ensure coverage of the Cambridge Primary Mathematics curriculum framework with easy-to-follow teaching notes. - Assess knowledge and progress with structured practice tests and whole-class activities. -Improve understanding and technique with photocopiable resources such as model texts, practice questions and games. - Introduce strategies for supporting recall and revision with further ideas to stretch learners and marking guidance. This resource has not been through the Cambridge International endorsement process.


The First Sourcebook On Asian Research In Mathematics Education 2 Volumes

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Author by Bharath Sriraman
Genre : Education
Publisher : IAP
ISBN : 9781681232799
Type : PDF & Epub
Views : 1798 Page
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Mathematics and Science education have both grown in fertile directions in different geographic regions. Yet, the mainstream discourse in international handbooks does not lend voice to developments in cognition, curriculum, teacher development, assessment, policy and implementation of mathematics and science in many countries. Paradoxically, in spite of advances in information technology and the “flat earth” syndrome, old distinctions and biases between different groups of researcher’s persist. In addition limited accessibility to conferences and journals also contribute to this problem. The International Sourcebooks in Mathematics and Science Education focus on under-represented regions of the world and provides a platform for researchers to showcase their research and development in areas within mathematics and science education. The First Sourcebook on Asian Research in Mathematics Education: China, Korea, Singapore, Japan, Malaysia and India provides the first synthesized treatment of mathematics education that has both developed and is now prominently emerging in the Asian and South Asian world. The book is organized in sections coordinated by leaders in mathematics education in these countries and editorial teams for each country affiliated with them. The purpose of unique sourcebook is to both consolidate and survey the established body of research in these countries with findings that have influenced ongoing research agendas and informed practices in Europe, North America (and other countries) in addition to serving as a platform to showcase existing research that has shaped teacher education, curricula and policy in these Asian countries. The book will serve as a standard reference for mathematics education researchers, policy makers, practitioners and students both in and outside Asia, and complement the Nordic and NCTM perspectives.


Mathscape Seeing And Thinking Mathematically Grade 6 From Zero To One And Beyond Student Guide

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Author by McGraw-Hill
Genre : Juvenile Nonfiction
Publisher : Glencoe/McGraw-Hill
ISBN : 0762202076
Type : PDF & Epub
Views : 52 Page
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This unique comprehensive curriculum encourages students to learn mathematics by doing mathematics, by using and connecting mathematical ideas, and by actively increasing their understanding. MathScape: Seeing and Thinking Mathematically was developed by Education Development Center, Inc. with funding from the National Science Foundation. It is one of four middle school mathematics programs to receive a satisfactory rating from the American Association for the Advancement of Science (AAAS).


Primary Word Problems

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Author by Dr. Now
Genre : Mathematics
Publisher : Xlibris Corporation
ISBN : 9781503517189
Type : PDF & Epub
Views : 152 Page
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Primary Word Problem Book 2 is an extension of Dr. Now’s Word Problem for the Day. Activities in the book are derived from lesson plans Dr. Now used to teach classes in mathematics. Word Problem for the Day was a repetitive activity Dr. Now created to help children comprehend mathematical principles in the real world.


Mathscape

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Author by
Genre : Mathematics
Publisher :
ISBN : 0078681839
Type : PDF & Epub
Views : 329 Page
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The Oxford Handbook Of Numerical Cognition

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Author by Roi Cohen Kadosh
Genre : Medical
Publisher : Oxford Library of Psychology
ISBN : 9780199642342
Type : PDF & Epub
Views : 1217 Page
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How do we understand numbers? Do animals and babies have numerical abilities? Why do some people fail to grasp numbers, and how we can improve numerical understanding? Numbers are vital to so many areas of life: in science, economics, sports, education, and many aspects of everyday life from infancy onwards. Numerical cognition is a vibrant area that brings together scientists from different and diverse research areas (e.g., neuropsychology, cognitive psychology, developmental psychology, comparative psychology, anthropology, education, and neuroscience) using different methodological approaches (e.g., behavioral studies of healthy children and adults and of patients; electrophysiology and brain imaging studies in humans; single-cell neurophysiology in non-human primates, habituation studies in human infants and animals, and computer modeling). While the study of numerical cognition had been relatively neglected for a long time, during the last decade there has been an explosion of studies and new findings. This has resulted in an enormous advance in our understanding of the neural and cognitive mechanisms of numerical cognition. In addition, there has recently been increasing interest and concern about pupils' mathematical achievement in many countries, resulting in attempts to use research to guide mathematics instruction in schools, and to develop interventions for children with mathematical difficulties. This handbook brings together the different research areas that make up the field of numerical cognition in one comprehensive and authoritative volume. The chapters provide a broad and extensive review that is written in an accessible form for scholars and students, as well as educationalists, clinicians, and policy makers. The book covers the most important aspects of research on numerical cognition from the areas of development psychology, cognitive psychology, neuropsychology and rehabilitation, learning disabilities, human and animal cognition and neuroscience, computational modeling, education and individual differences, and philosophy. Containing more than 60 chapters by leading specialists in their fields, the Oxford Handbook of Numerical Cognition is a state-of-the-art review of the current literature.


Mathematical Thinking

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Author by Masami Isoda
Genre : Mathematics
Publisher : World Scientific
ISBN : 9789814350853
Type : PDF & Epub
Views : 318 Page
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Developing mathematical thinking is one of major aims of mathematics education. In mathematics education research, there are a number of researches which describe what it is and how we can observe in experimental research. However, teachers have difficulties developing it in the classrooms. This book is the result of lesson studies over the past 50 years. It describes three perspectives of mathematical thinking: Mathematical Attitude (Minds set), Mathematical Methods in General and Mathematical Ideas with Content and explains how to develop them in the classroom with illuminating examples.