Understanding Children'S Mathematical Graphics: Beginnings In Play

Beginnings in Play
Author: Carruthers, Elizabeth,Worthington, Maulfry
Publisher: McGraw-Hill Education (UK)
ISBN: 0335237762
Category: Education
Page: 203
View: 5683
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Key features include: --

Children's Errors in Mathematics


Author: Alice Hansen,Doreen Drews,John Dudgeon,Fiona Lawton,Liz Surtees
Publisher: Learning Matters
ISBN: 1473905532
Category: Education
Page: 256
View: 1690
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This practical guide to children’s common errors and misconceptions in mathematics is a popular planning tool for primary trainees. It supports a deeper understanding of the difficulties encountered in mathematical development. This third edition has been updated to link to the new National Curriculum. New for this edition is a chapter on addressing errors misconceptions which explores how errors can best be identified and countered. The text examines misconceptions individually and in each case provides a description of the error alongside an explanation of why the error happens. The text also considers the role of the teacher in understanding and addressing children’s common mathematical misconceptions.

Children'S Mathematics 4-15: Learning From Errors And Misconceptions

Learning from Errors and Misconceptions
Author: Ryan, Julie,Williams, Julian
Publisher: McGraw-Hill Education (UK)
ISBN: 0335220428
Category: Education
Page: 252
View: 3254
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This work uses data from the authors' own research on children's performance, errors and misconceptions across the mathematics curriculum. It develops concepts for teachers to use in organising their understanding and knowledge of children's mathematics, and concludes with theoretical accounts of learning and teaching.

Transforming Children's Mathematics Education

International Perspectives
Author: Leslie P. Steffe,Terry Wood
Publisher: Routledge
ISBN: 1136468773
Category: Education
Page: 512
View: 615
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Eminent scholars from around the globe gathered to discuss how educational systems would change if the prevailing principles of constructivism were applied to three major aspects of those systems -- knowledge and learning, communication, and environment. This volume provides documentation of the proceedings of this important meeting - - the Early Childhood Action Group of the Sixth International Congress on Mathematics Education. This international assembly, representing such diverse disciplines as mathematics and math education, epistemology, philosophy, cognitive science, psycholinguistics, and science education, is the first to examine early childhood mathematics education from constructivist and international perspectives in addition to formulating recommendations for future work in the field.

Children's Mathematics

Cognitively Guided Instruction
Author: Thomas P. Carpenter
Publisher: N.A
ISBN: 9780325001371
Category: Education
Page: 112
View: 9206
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Based on more than twenty years of research, this book portrays the development of children's understanding of basic number concepts. The authors offer a detailed explanation and numerous examples of the problem-solving and computational processes that virtually all children use as their numerical thinking develops. They also describe how classrooms can be organized to foster that development. Two accompanying CDs provide a remarkable inside look at students and teachers in real classrooms

Children's Mathematics

Making Marks, Making Meaning
Author: Elizabeth Carruthers,Maulfry Worthington
Publisher: Paul Chapman Educational Publishing
ISBN: 9781412922838
Category: Education
Page: 260
View: 4145
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This resource demonstrates how children's mathematical graphics reflect deep levels of thinking, and identifies this as the key to success in mathematics and higher achievement levels.

Children's Mathematical Thinking in Primary Years


Author: Julia Anghileri
Publisher: A&C Black
ISBN: 9780826479112
Category: Education
Page: 192
View: 9645
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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.

Engaging Young Children in Mathematics

Standards for Early Childhood Mathematics Education
Author: Douglas H. Clements,Julie Sarama,Ann-Marie DiBiase
Publisher: Routledge
ISBN: 0805842101
Category: Education
Page: 474
View: 1620
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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.

Developing Young Children’s Mathematical Learning Outdoors

Linking Pedagogy and Practice
Author: Lynda Keith
Publisher: Routledge
ISBN: 1315300656
Category: Education
Page: 144
View: 9498
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Developing Young Children’s Mathematical Learning Outdoors provides detailed guidance and practical advice on planning mathematical experiences for young children outdoors. By examining the key features of a mathematically rich outdoor environment, it illustrates how this can motivate children in leading their own learning and mathematical thinking. Drawing upon the author’s wealth of experience, the book provides support for students and early years' practitioners in developing a deeper understanding of how to plan quality experiences, which combine pedagogy with effective practice. Covering all aspects of mathematics, it identifies meaningful contexts and shows how adults can use open-ended questions and prompts to promote children’s mathematical play outside. With rich case studies and reflective questions included throughout, as well as suggestions for useful resources to put the ideas in the book into practice, it is essential reading for all those that want to develop curious and creative mathematical thinkers in the early years.

Helping Children with Mathematics

Grades 3-5
Author: James Riley,Marge Eberts,Peggy Gisler
Publisher: Good Year Books
ISBN: 9780673361554
Category: Education
Page: 138
View: 6868
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Educational resource for teachers, parents and kids!

Children's Mathematics 4-15

Learning from Errors and Misconceptions
Author: Julie Ryan
Publisher: McGraw-Hill Education (UK)
ISBN: 0335230202
Category: Education
Page: 252
View: 7570
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The mistakes children make in mathematics are usually not just 'mistakes' - they are often intelligent generalizations from previous learning. Following several decades of academic study of such mistakes, the phrase 'errors and misconceptions' has recently entered the vocabulary of mathematics teacher education and has become prominent in the curriculum for initial teacher education. The popular view of children's errors and misconceptions is that they should be corrected as soon as possible. The authors contest this, perceiving them as potential windows into children's mathematics. Errors may diagnose significant ways of thinking and stages in learning that highlight important opportunities for new learning. This book uses extensive, original data from the authors' own research on children's performance, errors and misconceptions across the mathematics curriculum. It progressively develops concepts for teachers to use in organizing their understanding and knowledge of children's mathematics, offers practical guidance for classroom teaching and concludes with theoretical accounts of learning and teaching. Children's Mathematics 4-15 is a groundbreaking book, which transforms research on diagnostic errors into knowledge for teaching, teacher education and research on teaching. It is essential reading for teachers, students on undergraduate teacher training courses and graduate and PGCE mathematics teacher trainees, as well as teacher educators and researchers.

Assessing Children'S Mathematical Knowledge

Social Class, Sex, and Problem-solving
Author: Cooper, Barry,Dunne, Mairead
Publisher: McGraw-Hill Education (UK)
ISBN: 0335203167
Category: Education
Page: 215
View: 5448
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'this work is highly relevant to the proliferation of accountability measures worldwide' James Scheurich and Douglas Foley In many countries, the lives of teachers and children are increasingly dominated by programmes of national testing of mathematics and other subjects. In England, the majority of the items in such tests have set mathematical tasks in every day situations such as 'shopping'. This requires children to make decisions about whether to use or not their own every day knowledge and experience in their problem-solving. Some children are likely to have a better 'feel for this game' than others. Assessing Children's Mathematical Knowledge draws on the analysis of national curriculum test data from more than 600 children of 10-11 and 13-14 years of age, as well as in-depth interviews with 250 of these as they attempt to solve test problems, in order to explore the nature of the difficulties children experience with 'realistic' items. The book shows, by comparing test and interview data, that many children, as a consequence of their confusion over the requirements of 'realistic' test items, fail in tests to demonstrate mathematical knowledge and understanding that they actually possess. The book also explores whether this problem of invalid measurement is equally spread across children from different social backgrounds, and across the sexes. The book will be of interest to academics and teachers studying for advanced degrees in mathematics education, sociology of education and educational assessment.

Fostering Children's Mathematical Power

An Investigative Approach To K-8 Mathematics Instruction
Author: Arthur Baroody,Arthur J. Baroody,Ronald T. Coslick
Publisher: Routledge
ISBN: 1135674051
Category: Education
Page: 612
View: 1561
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First published in 1998. Routledge is an imprint of Taylor & Francis, an informa company.

Guiding Children's Learning of Mathematics


Author: Leonard Kennedy,Steve Tipps,Art Johnson
Publisher: Cengage Learning
ISBN: 049509191X
Category: Business & Economics
Page: 576
View: 5300
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Trust Kennedy, Tipps and Johnson's market-leading text, GUIDING CHILDREN'S LEARNING OF MATHEMATICS, Eleventh Edition, to give you a thorough introduction to mathematics methods and to provide you with a practical resource guide to teaching pre-school through sixth grade level mathematics. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.

Children's reading and mathematics achievement in kindergarten and first grade


Author: N.A
Publisher: DIANE Publishing
ISBN: 1428925716
Category:
Page: N.A
View: 1880
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Extending Children's Mathematics

Fractions and Decimals
Author: Susan B. Empson,Linda Levi
Publisher: Heinemann Educational Books
ISBN: 9780325030531
Category: Education
Page: 242
View: 9943
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"With the collaboration of a number of dedicated teachers and their students, Susan Empson and Linda Levi have produced a volume that is faithful to the basic principles of CGI while at the same time covering new ground with insight and innovation." -Thomas P. Carpenter This highly anticipated follow-up volume to the landmark Children's Mathematics: Cognitively Guided Instruction addresses the urgent need to help teachers understand and teach fraction concepts. Fractions remain one of the key stumbling blocks in math education, and here Empson and Levi lay a foundation for understanding fractions and decimals in ways that build conceptual learning. They show how the same kinds of intuitive knowledge and sense making that provides the basis for children's learning of whole number arithmetic can be extended to fractions and decimals. Just as they did in Children's Mathematics and Thinking Mathematically, Empson and Levi provide important insights into children's thinking and alternative approaches to solving problems. Three themes appear throughout the book: building meaning for fractions and decimals through discussing and solving word problems the progression of children's strategies for solving fraction word problems and equations from direct modeling through relational thinking designing instruction that capitalizes on students' relational thinking strategies to integrate algebra into teaching and learning fractions. With illuminating examples of student work, classroom vignettes, "Teacher Commentaries" from the field, sample problems and instructional guides provided in each chapter, you'll have all the tools you need to teach fractions and decimals with understanding and confidence.

Math Through Children's Literature

Making the NCTM Standards Come Alive
Author: Kathryn L. Braddon,Nancy J. Hall,Dale Taylor
Publisher: Libraries Unlimited
ISBN: 9780872879324
Category: Education
Page: 218
View: 7992
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Suggests reading materials to use in conjunction with the teaching of mathematical concepts and activities

Math Links

Teaching the NCTM 2000 Standards Through Children's Literature
Author: Caroline W. Evans,Anne J. Leija,Trina R. Falkner
Publisher: Libraries Unlimited
ISBN: 9781563087875
Category: Education
Page: 309
View: 1518
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Takes the reader step-by-step through the stages of designing both power and sailing boats, whilst also explaining the reasons behind the procedures. Throughout, line diagrams and reproductions of working drawings are used to help understanding and allow the reader to see typical lines plans from a wide range of vessels. The usual calculations employed in all boat design work, requiring only very basic arithmetical skills, are set out and typical examples worked through. In addition, speed/power tables are given for motor boats as well as a method for checking "balance" under sail.

Children's Mathematical Frameworks 8-13

A Study of Classroom Teaching
Author: Kathleen M. Hart
Publisher: N.A
ISBN: N.A
Category: Mathematics
Page: 226
View: 3149
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An early grasp of fundamental mathematical ideas such as place value, fractions, measurement, equations and ratio - is essential to children's later mathematical development: all these topics are identified in the National Curriculum. Children's Mathematical Frameworks 8-13 provides primary and secondary maths advisers, teachers and student teachers with comprehensive information on how mathematical problems are commonly presented and interpreted, and the problems children encounter in attempting to understand and apply them. The book also provides assistance in assessing levels of performance and will be helpful in determining programmes of study for Key States 2 and 3 in the National Curriculum. This book should be of interest to /OREAD.