Precursor Math Concepts

Author : Mary Hynes-Berry,Jie-Qi Chen,Barbara Abel
Publisher : Unknown
Page : 112 pages
File Size : 52,7 Mb
Release : 2021-11-26
Category : Education
ISBN : 0807766119

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Precursor Math Concepts by Mary Hynes-Berry,Jie-Qi Chen,Barbara Abel Pdf

This groundbreaking book looks at the development of mathematical thinking in infants and toddlers, with an emphasis on the earliest stage, from zero to three, when mathematical thinking and problem solving first emerge as natural instincts. The text explores the four precursor math concepts--Attribute, Comparison, Change, and Pattern--with an emphasis on how development occurs when it is nurtured by loving knowledgeable others. The authors call this the CAIR principle: Closely Attend & Intentionally Respond. Sharing their stories of working with a wide range of zero to three caregivers and educators, the authors stress the difference between arithmetic skills and their definition of mathematics as "a logical way of thinking that allows for increasing precision." Each user-friendly chapter includes suggestions for highly effective practices that are embedded into everyday interactions and routines. Early care providers can use this resource to develop young children's interest in mathematics, ensuring that they are ready for the big ideas they will encounter in preschool. Book Features: Combines the most current research on infant and toddler cognitive development in relation to mathematical thinking. Offers concrete ways to help caregivers and professionals draw out the math that is all around us. Blends three domains of human development--social-emotional, physical, and cognitive. Examines the What, Who, and How of each precursor concept, with authentic anecdotes and "What the Research Says" sections.

Author : Mary Hynes-Berry,Jie-Qi Chen,Barbara Abel
Publisher : Teachers College Press
Page : 258 pages
File Size : 53,6 Mb
Release : 2021
Category : Education
ISBN : 9780807779958

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Precursor Math Concepts by Mary Hynes-Berry,Jie-Qi Chen,Barbara Abel Pdf

This groundbreaking book looks at the development of mathematical thinking in infants and toddlers, with an emphasis on the earliest stage, from zero to three, when mathematical thinking and problem solving first emerge as natural instincts. The text explores the four precursor math concepts—Attribute, Comparison, Change, and Pattern—with an emphasis on how development occurs when it is nurtured by loving knowledgeable others. The authors call this the CAIR principle: Closely Attend & Intentionally Respond. Sharing their stories of working with a wide range of zero to three caregivers and educators, the authors stress the difference between arithmetic skills and their definition of mathematics as “a logical way of thinking that allows for increasing precision.” Each user-friendly chapter includes suggestions for highly effective practices that are embedded into everyday interactions and routines. Early care providers can use this resource to develop young children’s interest in mathematics, ensuring that they are ready for the big ideas they will encounter in preschool. Book Features: Combines the most current research on infant and toddler cognitive development in relation to mathematical thinking.Offers concrete ways to help caregivers and professionals draw out the math that is all around us.Blends three domains of human development—social-emotional, physical, and cognitive.Examines the What, Who, and How of each precursor concept, with authentic anecdotes and “What the Research Says” sections.

Author : Raymond L. Wilder
Publisher : Courier Corporation
Page : 242 pages
File Size : 42,7 Mb
Release : 2013-01-01
Category : Mathematics
ISBN : 9780486490618

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Evolution of Mathematical Concepts by Raymond L. Wilder Pdf

Accessible to students and relevant to specialists, this remarkable book by a prominent educator offers a unique perspective on the evolutionary development of mathematics. Rather than conducting a survey of the history or philosophy of mathematics, Raymond L. Wilder envisions mathematics as a broad cultural phenomenon. His treatment examines and illustrates how such concepts as number and length were affected by historic and social events. Starting with a brief consideration of preliminary notions, this study explores the early evolution of numbers, the evolution of geometry, and the conquest of the infinite as embodied by real numbers. A detailed look at the processes of evolution concludes with an examination of the evolutionary aspects of modern mathematics.

Author : David C. Geary,Daniel B. Berch,Robert Ochsendorf,Kathleen Mann Koepke
Publisher : Academic Press
Page : 360 pages
File Size : 42,7 Mb
Release : 2017-02-08
Category : Psychology
ISBN : 9780128133682

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Acquisition of Complex Arithmetic Skills and Higher-Order Mathematics Concepts by David C. Geary,Daniel B. Berch,Robert Ochsendorf,Kathleen Mann Koepke Pdf

Acquisition of Complex Arithmetic Skills and Higher-Order Mathematics Concepts focuses on typical and atypical learning of complex arithmetic skills and higher-order math concepts. As part of the series Mathematical Cognition and Learning, this volume covers recent advances in the understanding of children’s developing competencies with whole-number arithmetic, fractions, and rational numbers. Each chapter covers these topics from multiple perspectives, including genetic disorders, cognition, instruction, and neural networks. Covers innovative measures and recent methodological advances in mathematical thinking and learning Contains contributions that improve instruction and education in these domains Informs policy aimed at increasing the level of mathematical proficiency in the general public

Author : Stella Vosniadou
Publisher : Routledge
Page : 658 pages
File Size : 51,7 Mb
Release : 2013-07-18
Category : Education
ISBN : 9781136578212

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International Handbook of Research on Conceptual Change by Stella Vosniadou Pdf

Conceptual change research investigates the processes through which learners substantially revise prior knowledge and acquire new concepts. Tracing its heritage to paradigms and paradigm shifts made famous by Thomas Kuhn, conceptual change research focuses on understanding and explaining learning of the most the most difficult and counter-intuitive concepts. Now in its second edition, the International Handbook of Research on Conceptual Change provides a comprehensive review of the conceptual change movement and of the impressive research it has spawned on students’ difficulties in learning. In thirty-one new and updated chapters, organized thematically and introduced by Stella Vosniadou, this volume brings together detailed discussions of key theoretical and methodological issues, the roots of conceptual change research, and mechanisms of conceptual change and learner characteristics. Combined with chapters that describe conceptual change research in the fields of physics, astronomy, biology, medicine and health, and history, this handbook presents writings on interdisciplinary topics written for researchers and students across fields.

Author : Roger F. Wheeler
Publisher : Unknown
Page : 314 pages
File Size : 54,8 Mb
Release : 1981
Category : Electronic
ISBN : 085312308X

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Rethinking Mathematical Concepts by Roger F. Wheeler Pdf

Author : Fabrice Vandebrouck
Publisher : Springer Science & Business Media
Page : 253 pages
File Size : 43,7 Mb
Release : 2013-09-03
Category : Education
ISBN : 9789462092815

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Mathematics Classrooms: Students’ Activities and Teachers’ Practices by Fabrice Vandebrouck Pdf

With cooperation of Aline Robert, Janine Rogalski, Maha Abboud-Blanchard, Claire Cazes, Monique Chappet-Pariès, Aurélie Chesnais, Christophe Hache, Julie Horoks, Eric Roditi & Nathalie Sayac. This book presents unique insights into a significant area of French research relating the learning and teaching of mathematics in school classrooms and their development. Having previously had only glimpses of this work, I have found the book fascinating in its breadth of theory, its links between epistemological, didactic and cognitive perspectives and its comprehensive treatment of student learning of mathematics, classroom activity, the work of teachers and prospective teacher development. Taking theoretical perspectives as their starting points, the authors of this volume present a rich array of theoretically embedded studies of mathematics teaching and learning in school classrooms. Throughout this book the reader is made aware of many unanswered questions and challenged to consider associated theoretical and methodological issues. For English-speaking communities who have lacked opportunity to access the French literature the book opens up a wealth of new ways of thinking about and addressing unresolved issues in mathematics learning, teaching and teacher education. I recommend it wholeheartedly! (Extract from Barbara Jaworski’s preface.)

Author : Marion Mohnhaupt
Publisher : tredition
Page : 67 pages
File Size : 48,8 Mb
Release : 2021-09-13
Category : Juvenile Nonfiction
ISBN : 9783347346529

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Tina's Aha Moments! by Marion Mohnhaupt Pdf

There is a little mathematician in every child. However, Tina is a young girl who finds that math is difficult and exhausting. She doubts her abilities in math and dislikes it. Then she recognizes learning as a superpower. She becomes curious and wonders, "How does learning actually work? Can I train my brain for math, similar to training my muscles?" With her new perspective she starts her very own treasure hunt. "Tina's AHA moments!" is a fascinating story with important insights into the working of our brains and math learning. It is valuable for children, as well as for adults who shape the learning of children. The story challenges limiting beliefs and ideas, arouses curiosity and will hopefully serve to inspire children in their math learning. This book shall be the beginning of a rewarding journey for you and your child. "This book is sure to help many children rediscover confidence in their math abilities." (Prof. Gerald Hüther, german neurobiologist and author) "This book is a great book for young readers, for teachers and for parents. It embraces key points of good learning which work together nicely as a learning ecosystem, they help each other and boost each other." (Dongmei Li, Program Manager Adobe) "I wish I had this book as a child." (Nina Kottek, Real Estate Manager) "I love this book." (Finn, 3rd grader)

Author : Brian P. Katz,Michael Starbird
Publisher : American Mathematical Society
Page : 189 pages
File Size : 54,6 Mb
Release : 2021-09-01
Category : Mathematics
ISBN : 9781470465803

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Distilling Ideas by Brian P. Katz,Michael Starbird Pdf

Mathematics is not a spectator sport; successful students of mathematics grapple with ideas for themselves. Distilling Ideas presents a carefully designed sequence of exercises and theorem statements that challenge students to create proofs and concepts. As students meet these challenges, they discover strategies of proofs and strategies of thinking beyond mathematics. In other words, Distilling Ideas helps its users to develop the skills, attitudes, and habits of mind of a mathematician, and to enjoy the process of distilling and exploring ideas. Distilling Ideas is an ideal textbook for a first proof-based course. The text engages the range of students' preferences and aesthetics through a corresponding variety of interesting mathematical content from graphs, groups, and epsilon-delta calculus. Each topic is accessible to users without a background in abstract mathematics because the concepts arise from asking questions about everyday experience. All the common proof structures emerge as natural solutions to authentic needs. Distilling Ideas or any subset of its chapters is an ideal resource either for an organized Inquiry Based Learning course or for individual study.

Author : Karin Fisher,Kate Zimmer
Publisher : Taylor & Francis
Page : 324 pages
File Size : 41,5 Mb
Release : 2024-06-01
Category : Education
ISBN : 9781040142844

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Early Childhood Special Education Programs and Practices by Karin Fisher,Kate Zimmer Pdf

Early Childhood Special Education Programs and Practices is a special education textbook that prepares pre- and in-service teachers with the knowledge, skills, and dispositions to deliver evidence-based instruction to promote positive academic and behavioral outcomes for young children (prekindergarten through second grade) with development delays and/or disabilities. Early Childhood Special Education Programs and Practices intertwines inclusive early childhood practices by using real-life anecdotes to illustrate evidence-based practices (EBPs) and procedures. The authors, experts in their fields, emphasize high-leverage practices, EBPs, and culturally sustaining pedagogy and align them with the practices, skills, and competencies recommended by the Council for Exceptional Children’s Division for Early Childhood. Families, administrators, and teacher educators of pre- and in-service early childhood special education and general early childhood education programs alike will find this book useful. Included in Early Childhood Special Education Programs and Practices are: An overview of early childhood and development of children ages 4 to 8 Strategies for relationship building with students, families, communities, and school personnel Tips on creating a caring and positive classroom environment Chapters devoted to evidence-based instruction in core subjects of reading and writing, mathematics, science, and social studies for students with disabilities in pre-K to second grade More than 80 images, photos, tables, graphs, and case studies to illustrate recommended Practices Also included with the text are online supplemental materials for faculty use in the classroom, consisting of an Instructor’s Manual and PowerPoint slides. Created with the needs of early childhood special educators in mind, Early Childhood Special Education Programs and Practices provides pre- and in-service teachers with the skills and practices they need to serve young children, their families, and communities across settings.

Author : Susan Perry Gurganus
Publisher : Taylor & Francis
Page : 449 pages
File Size : 46,7 Mb
Release : 2017-02-24
Category : Education
ISBN : 9781317409335

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Math Instruction for Students with Learning Problems by Susan Perry Gurganus Pdf

Math Instruction for Students with Learning Problems, Second Edition provides a research-based approach to mathematics instruction designed to build confidence and competence in pre- and in-service PreK–12 teachers. This core textbook addresses teacher and student attitudes toward mathematics, as well as language issues, specific mathematics disabilities, prior experiences, and cognitive and metacognitive factors. The material is rich with opportunities for class activities and field extensions, and the second edition has been fully updated to reference both NCTM and CCSSM standards throughout the text and includes an entirely new chapter on measurement and data analysis.

Author : Jennifer M. Suh,Padmanabhan Seshaiyer
Publisher : Rowman & Littlefield
Page : 227 pages
File Size : 47,5 Mb
Release : 2016-12-27
Category : Education
ISBN : 9781475817607

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Modeling Mathematical Ideas by Jennifer M. Suh,Padmanabhan Seshaiyer Pdf

Modeling Mathematical Ideas combining current research and practical strategies to build teachers and students strategic competence in problem solving.This must-have book supports teachers in understanding learning progressions that addresses conceptual guiding posts as well as students’ common misconceptions in investigating and discussing important mathematical ideas related to number sense, computational fluency, algebraic thinking and proportional reasoning. In each chapter, the authors opens with a rich real-world mathematical problem and presents classroom strategies (such as visible thinking strategies & technology integration) and other related problems to develop students’ strategic competence in modeling mathematical ideas.

Author : Metin Bektas
Publisher : Unknown
Page : 105 pages
File Size : 40,7 Mb
Release : 2017-03-17
Category : Mathematics
ISBN : 152084526X

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Math Concepts Everyone Should Know (and Can Learn) by Metin Bektas Pdf

Has anyone ever told you that math can be incredibly exciting? If not, let me be the first to do so and back that up with a book that shall convince you. To start reading, you don't need to have any prior knowledge as any topic will be explained gently and using plenty of examples. You will learn how to count combinations, compute probabilities, measure power, solve geometric problems and evaluate surveys. On top of that, we will also have a look at the fascinating secrets that the concept of infinity holds. Sounds good? I told you math is exciting ... but please, don't take my word for it, see for yourself.From the author of the "Great Formulas Explained" series, the "Math Shorts" series, "The Book of Forces" and many other mathematics and popular science books. Get to know mathematics from a new perspective!

Author : Viktor Freiman,Janet Lynne Tassell
Publisher : Springer
Page : 561 pages
File Size : 52,7 Mb
Release : 2018-09-03
Category : Education
ISBN : 9783319723815

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Creativity and Technology in Mathematics Education by Viktor Freiman,Janet Lynne Tassell Pdf

This volume provides new insights on creativity while focusing on innovative methodological approaches in research and practice of integrating technological tools and environments in mathematics teaching and learning. This work is being built on the discussions at the mini-symposium on Creativity and Technology at the International Conference on Mathematical Creativity and Giftedness (ICMCG) in Denver, USA (2014), and other contributions to the topic. The book emphasizes a diversity of views, a variety of contexts, angles and cultures of thought, as well as mathematical and educational practices. The authors of each chapter explore the potential of technology to foster creative and divergent mathematical thinking, problem solving and problem posing, creative use of dynamic, multimodal and interactive software by teachers and learners, as well as other digital media and tools while widening and enriching transdisciplinary and interdisciplinary connections in mathematics classroom. Along with ground-breaking innovative approaches, the book aims to provide researchers and practitioners with new paths for diversification of opportunities for all students to become more creative and innovative mathematics learners. A framework for dynamic learning conditions of leveraging mathematical creativity with technology is an outcome of the book as well.

Author : E. H. Sondheimer,Alan Rogerson
Publisher : Unknown
Page : 172 pages
File Size : 50,9 Mb
Release : 1981
Category : Mathematics
ISBN : 0521284333

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Numbers and Infinity by E. H. Sondheimer,Alan Rogerson Pdf