Children's Mathematics

Children's Mathematics PDF Author: Thomas P. Carpenter
Publisher: Heinemann Educational Books
ISBN: 9780325052878
Category : Education
Languages : en
Pages : 0

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Book Description
With a focus on children's mathematical thinking, this second edition adds new material on the mathematical principles underlying children's strategies, a new online video that illustrates student teacher interaction, and examines the relationship between CGI and the Common Core State Standards for Mathematics.

Children's Mathematics

Children's Mathematics PDF Author: Thomas P. Carpenter
Publisher: Heinemann Educational Books
ISBN: 9780325052878
Category : Education
Languages : en
Pages : 0

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Book Description
With a focus on children's mathematical thinking, this second edition adds new material on the mathematical principles underlying children's strategies, a new online video that illustrates student teacher interaction, and examines the relationship between CGI and the Common Core State Standards for Mathematics.

Engaging Young Children in Mathematics

Engaging Young Children in Mathematics PDF Author: Douglas H. Clements
Publisher: Routledge
ISBN: 0805842101
Category : Education
Languages : en
Pages : 474

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Book Description
Engaging Young Children in Mathematics: Standards for Early Childhood Mathematics Education brings together the combined wisdom of a diverse group of experts involved with early childhood mathematics. The book originates from the landmark 2000 Conference on Standards for Pre-kindergarten and Kindergarten Mathematics Education, attended by representatives from almost every state developing standards for young children's mathematics; federal government officials; mathematicians; mathematics educators; researchers from mathematics education, early childhood education, and psychology; curriculum developers; teachers; policymakers; and professionals from organizations such as the National Conference of Teachers of Mathematics and the National Association for the Education of Young Children. The main goal of the Conference was to work collectively to help those responsible for framing and implementing early childhood mathematics standards. Although it has its roots in the Conference, the expanded scope of the standards and recommendations covered in this book includes the full range of kindergarten to grade 2. The volume is organized into two main parts and an online appendix (http://www.gse.buffalo.edu/org/conference/). Part One, Major Themes and Recommendations, offers a framework for thinking about pre-kindergarten - grade 2 mathematics education and specific recommendations. Part Two, Elaboration of Major Themes and Recommendations, provides substantive detail regarding young students' understandings of mathematical ideas. Each Part includes five parallel subsections: "Standards in Early Childhood Education"; "Math Standards and Guidelines"; "Curriculum, Learning, Teaching, and Assessment"; "Professional Development"; and "Toward the Future: Implementation and Policy." As a whole the book: * presents comprehensive summaries of research that provide specific guidelines for standards, curriculum, and teaching; * takes the recent reports and recommendations for early childhood mathematics education to the next level; * integrates practical details and research throughout; and * provides a succinct, but thorough review of research on the topics, sequences, and learning trajectories that children can and should learn at each of their first years of life, with specific developmental guidelines that suggest appropriate content for each topic for each year from 2-year-olds to 7-year-olds. This is an indispensable volume for mathematics educators, researchers, curriculum developers, teachers and policymakers, including those who create standards, scope and sequences, and curricula for young children and professional teacher development materials, and students in mathematics education, early childhood trainers, teacher educators, and faculty in mathematics education.

The Young Child and Mathematics, Third Edition

The Young Child and Mathematics, Third Edition PDF Author: Angela Chan Turrou
Publisher:
ISBN: 9781938113932
Category : Education
Languages : en
Pages : 128

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Book Description
Tap into the Power of Child-Led Math Teaching and Learning Everything a child does has mathematical value--these words are at the heart of this completely revised and updated third edition of The Young Child and Mathematics. Grounded in current research, this classic book focuses on how teachers working with children ages 3 to 6 can find and build on the math inherent in children's ideas in ways that are playful and intentional. This resource - Illustrates through detailed vignettes how math concepts can be explored in planned learning experiences as well as informal spaces - Highlights in-the-moment instructional decision-making and child-teacher interactions that meaningfully and dynamically support children in making math connections - Provides an overview of what children know about counting and operations, spatial relations, measurement and data, and patterns and algebra - Offers examples of informal documentation and assessment approaches that are embedded within classroom practice Deepen your understanding of how math is an integral part of your classroom all day, every day. Includes online video!

Children's Mathematical Thinking in Primary Years

Children's Mathematical Thinking in Primary Years PDF Author: Julia Anghileri
Publisher: Bloomsbury Publishing
ISBN: 1847144209
Category : Education
Languages : en
Pages : 193

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Book Description
This popular Continuum series, intended chiefly for teachers and trainee teachers, places strong emphasis on practice but at the same time incorporates the latest research in the field. The book demonstrates a strong belief in the ability of children to learn, and in the ability of teachers to increase children's learning potential. The series authors are distinguished practitioners in their fields who write with authority, but without jargon. With the increasingly popular constructivist framework for learning, teachers are coming to recognize the limitations of taught procedures and to find ways to encourage children to generate their own knowledge and understanding in mathematics. The challenge for teachers is to promote an environment that encourages mathematical thinking in which pupils of all abilities are able to achieve their full potential. This text brings together experiences of teachers and researchers who examine the ways children work mathematically, in order to provide an enhanced learning environment within the classroom. It also addresses key issues in current maths teaching.

Children's Mathematical Thinking

Children's Mathematical Thinking PDF Author: Arthur J. Baroody
Publisher: Teachers College Press
ISBN: 9780807728376
Category : Education
Languages : en
Pages : 294

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Book Description
This book provides a framework for understanding children's mathematical development and the ways in which it can go wrong. The author first summarizes the major theoretical and practical research on the development of numeration, arithmetic, and problem solving, and then details strategies and activities for encouraging specific mathematical skills, concepts, and beliefs. Particular emphasis is placed on using the children's informal knowledge of mathematics as a basis for building up to a formal understanding.

Where's the Math?

Where's the Math? PDF Author: Mary Hynes-Berry
Publisher:
ISBN: 9781938113512
Category : Education
Languages : en
Pages : 160

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Book Description
Use the powerful strategies of play and storytelling to help young children develop their "math brains." This easy-to-use resource includes fun activities, routines, and games inspired by children's books that challenge children to recognize and think more logically about the math all around them.

Mastery and Depth in Primary Mathematics

Mastery and Depth in Primary Mathematics PDF Author: Fay Lewis
Publisher: Routledge
ISBN: 1000517934
Category : Education
Languages : en
Pages : 111

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Book Description
The UK National Curriculum is clear about the importance of reasoning and problem-solving in mathematics. Mastery and Depth in Primary Mathematics aims to support trainee and established teachers to embed mathematical thinking into their lessons. The authors focus on practical and actionable ways that primary teachers can develop their children’s mathematical thinking, reasoning and problem-solving: ideas which are at the heart of the UK National Curriculum. Covering a range of areas in mathematical thinking such as reasoning, problem-solving and pattern-spotting, as well as systematic and investigative thinking, each chapter provides clear examples of how teachers can make small, manageable ‘rich tweaks’ to their existing lessons to increase the opportunities for children to develop their mathematical thinking. Teachers will be able to dip into the book and find inspiration and ideas that they can use immediately and, importantly, develop a set of principles and skills which will enable them to take any mathematical activity and tweak it to develop their pupils’ thinking skills. This practical guide will be invaluable to all trainee teachers and early-career teachers that wish to enhance their primary mathematics teaching.

EBOOK: Supporting Musical Development in the Early Years

EBOOK: Supporting Musical Development in the Early Years PDF Author: Linda Pound
Publisher: McGraw-Hill Education (UK)
ISBN: 0335247091
Category : Education
Languages : en
Pages : 170

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Book Description
This important book provides practical guidance for parents, teachers and other early years practitioners who are concerned with young children's musical development. The authors highlight the relationship between music and the development of communication, the expression of emotion and playfulness. They show how these three elements, in conjunction with musical activity and experience, underpin all future learning including the development of language. They go on to explore music as a subject in its own right and its role in supporting other areas of the curriculum. Insights from a wide range of research are presented in a way which makes them accessible to practitioners so that they can be used to inform and develop effective practice. Practitioners and parents are encouraged to have confidence in their own musical ability. The book provides a wide range of practical strategies and activities. It will show that everyone is capable of enjoying making music with young children and contributing to their future musical development.

Understanding Children's Mathematical Graphics: Beginnings in Play

Understanding Children's Mathematical Graphics: Beginnings in Play PDF Author: Elizabeth Carruthers
Publisher: McGraw-Hill Education (UK)
ISBN: 0335240798
Category : Education
Languages : en
Pages : 234

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Book Description
This book challenges traditional beliefs and practices of teaching 'written' mathematics in early childhood. It gives theoretical underpinnings and offers exciting insights and context to children's early mathematical thinking and in particular into children's mathematical graphics, showing how this supports their understanding of the abstract symbolic language of mathematics. Drawing on a wide range of examples, it illustrates and explains how children explore and communicate their mathematical thinking through their mathematical graphics, and how this begins in play. The book looks at the power of children's own marks, symbols and other graphical representations to convey meanings, exploring how they support complex thinking. The authors explore the relationship between children's play and meaning making. Rather than viewing mathematics as a separate subject or as a set of basic 'skills' to be transmitted, they demonstrate that in supportive learning cultures children develop their own mathematical thinking to solve problems. Key features include: Numerous new examples and case studies of children from birth to 8 years,highlighting the complexity and richness of children's thinking Explanation of pedagogical issues - showing how they can support rich play and mathematics Draws on the authors' latest research This book is valuable reading for students, teachers, primary mathematics coordinators' and all early years' professionals working in the Early Years Foundation Stage and Key Stage One.

Mathematical Thinking

Mathematical Thinking PDF Author: Masami Isoda
Publisher: World Scientific
ISBN: 9814350834
Category : Education
Languages : en
Pages : 318

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Book Description
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.