Early Childhood Mathematics / Edition 4

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More About This Textbook

Overview

Praise from Reviewers

“I consistently get positive and constructive suggestions [from my students] on how the chapters will impact their future teaching.”

–Kathleen Cramer, University of Minnesota

“Anchoring the text on NCTM standards and drawing from NAEYC and NCATE will place the text at an advantage over many other texts. The approach will work with my students.”

–Benjamin Ngwudike, Jackson State University

Standards-based, practical guidance for teaching math in the early years

Aligned to the NCTM Standards, this new edition of a trusted text encourages teacher candidates to create an active learning environment that fosters curiosity, confidence, and persistence in children learning mathematics.

Author Susan Sperry Smith presents the three key ingredients for the successful acquisition of math in the early years: knowledge of important mathematical relationships, number sense, and the ability to solve problems. Through practical knowledge and applications, this book gives special attention to helping teachers foster these skills and ways of thinking to build student success from year to year. A collection of lesson ideas, blackline masters, and fieldwork and assessment activities provide resources for the classroom, and close ties to NCTM standards ensure that teachers are ready to facilitate young children’s math learning in today’s educational climate.

New to this edition:

  • A completely reordered table of contents more closely follows the way professors use the book, with concepts such as planning and assessment in the opening chapters, explanation of math concepts such as number sense and place value in the middle, classroom applications and best practices in the later chapters, and discussions of thematic unit development in the final chapter.
  • Extensive coverage of the NCTM Focal Points–including a valuable reprint of the PreK-third grade focal points–guides teachers to implement appropriate curricula.
  • Expanded use of NCTM Process Standards deepens the book’s presentation of effective instructional techniques.
  • Numerous children’s work examples in sample lessons and discussion provide insight into students’ mathematical thought processes.

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Product Details

  • ISBN-13: 9780205594283
  • Publisher: Pearson
  • Publication date: 3/3/2008
  • Series: Pearson Custom Education Series
  • Edition description: Older Edition
  • Edition number: 4
  • Pages: 288
  • Sales rank: 1,106,600
  • Product dimensions: 8.40 (w) x 10.70 (h) x 0.80 (d)

Table of Contents

Preface

Acknowledgements

1. Foundations, Myths and Standards

Equity for Every Child

Serving Children in Inclusive Settings

The Child Who Is Gifted

The Child with Learning Disabilities

The Child Who Is Cognitively Disabled (Children with Mental Retardation)

Where We Are Going

The NCTM Process Standards

The NCTM Focal Points 2006

Models and Modeling Perspectives

Developmentally Appropriate Education: Creating the Best Learning Environment

Piaget, Vygotsky, Bruner, and Dienes

Summary

Fieldwork – Clinical Log or Math Journal

Activities and Study Questions

Links to Technology

References

2. Planning for Success: A Good Beginning.

How Do I Get Started?

Manipulatives in the Classroom

Your Attitude and Math Anxiety

How Can I Involve Parents in My Program?

What Should I Do if My Students Have Had Only Rote Math Background?

How Can I Meet the Needs of Children from Diverse Backgrounds?

How Can I Use Technology to Enhance Learning?

Planning for Computer-Assisted Instruction

Choosing Appropriate Software

Planning for Calculators

Summary

Fieldwork – Clinical Log or Math Journal

Activities and Study Questions

Links to Technology

References

3. Assessment

International Results

Boys versus Girls

Formal and Informal Interviews

Assessment and Evaluation Defined

Curriculum Reform and Alignment

Assessment Strategies

Scoring Methods

Alternatives for Students in Inclusive Settings

Record Keeping

Summary

Fieldwork – Clinical Log or Math Journal

Activities and Study Questions

References

4. The Language of Math: Communication and Representation

Developing Math and Language Using Song and Verse

Developing Math Language through Children's Literature

Story Telling as Cultural Art Form

Math Language and Older Children

Math Concepts Found in the Early Childhood Curriculum

Representation: The Symbols of Math

The Number Sentence

Summary

Ready-Set-Math

Fieldwork – Clinical Log or Math Journal

Activities and Study Questions

Classroom Equipment

Related Children’s Literature

Links to Technology

References

5. Early Math Concepts: Matching, Classification, Comparing, and Ordering or Seriation

Matching

Matching: Informal Learning around Home and School

Assessment of Matching Abilities

Early Classification—Creating Sets

Children and Sets: Informal Learning around Home and School

Pose a Problem to the Whole Class: Sets

Pose a Problem: Complex Classification

Comparing

Comparing: Informal Learning around Home and School

Ordering or Seriation

Ordering or Seriation: Informal Learning around Home and School

Pose a Problem: Assessment of Relationships Involving Ordering

Summary

Fieldwork – Clinical Log or Math Journal

Activities and Study Questions

Related Children’s Literature

References

6. Developing Number Sense

A Cultural Perspective

Children’s Literature, Art, and Counting

Counting: The Young Child Plays and Learns

Research and Today's Classroom

Piaget's Tests of Conservation

Guided Learning Activities

Counting-On Activities

Counting-Back Activities

From Counting to Part-Part-Whole Activities

Thinking in Groups

Reading and Writing Numerals

Fractions and Number Sense

Summary

Ready-Set-Math

Fieldwork – Clinical Log or Math Journal

Activities and Study Questions

Classroom Equipment

Related Children’s Literature

Related Music and CDs

Links to Technology

References

7. Understanding Our Place Value System

A Brief History of Base-Ten

The Unique Features of the Base-Ten System

Multiple Conceptions of Place Value

Children's Unstructured Strategies

Experts Differ on the Use of Manipulatives

Trading Games

Teaching with Bean Sticks or Base-Ten Blocks

Teaching with the Abacus and Money

Estimating and Rounding: When Approximate is Good Enough

Assessing Children's Understanding of Place Value

Summary

Ready-Set-Math

Fieldwork – Clinical Log or Math Journal

Activities and Study Questions

Classroom Equipment

Related Children’s Literature

Links to Technology

References

8. Graphing

Topics for Graphing Experiences

The Challenge in Reading Graphs

The Graphing Questions

Early Experiences with Graphing

Choosing Categories That Avoid Hurt Feelings or Wanting to Be on the Winning Side

Probability

Summary

Ready-Set-Math

Fieldwork – Clinical Log or Math Journal

Activities and Study Questions

Related Children’s Literature

Links to Technology

References

9. Early Algebra: Pattern and Function

Pattern

Pattern in Music and Art

Functions in the Primary Grade Classroom

Early Algebra

Summary

Ready-Set-Math

Fieldwork – Clinical Log or Math Journal

Activities and Study Questions

Related Children’s Literature

References

10. Problem Solving—Addition and Subtraction

Math Is Problem Solving

A Real Problem

Choices of Problems

Problem Posing: Cognitively Guided Instruction

A Positive Environment: Cognitively Guided Instruction

General Strategies

Cognitive Background Information for Teachers: Classes of Problems.

Rules of Operation

Helping Children Write Their Own Problems

Using What Children Know to Learn the Facts

Summary

Ready-Set-Math

Fieldwork – Clinical Log or Math Journal

Activities and Study Questions

Classroom Equipment

Related Children’s Literature

Links to Technology

References

11. Problem Solving—Multiplication and Division

Definition

Readiness for Multiplication and Division

Children's Natural Strategies

Cognitive Background for Teachers: Classes of Problems

Remainders

Illustrations

Linking Problem Solving to Symbolic Representation

Rules of Operation

The Role of Zero

Helping Children Write Their Own Problems

Learning the Multiplication Facts

Summary

Ready-Set-Math

Fieldwork – Clinical Log or Math Journal

Activities and Study Questions

Related Children’s Literature

Links to Technology

References

12. Geometry: Space and Shape

Space: The Art of Blockbuilding

Assessment of Spatial Relationships

The Art of Block Building

Blocks for Girls as Well as Boys

Shape

Shape: Informal Learning around Home and School

Planning Activities about Shape

Assessment of Shape

Geometric Concepts in the Early Grades

The NCTM 2000 Geometry Standards

The van Hiele Model

Precise Language

Summary

Ready-Set-Math

Fieldwork – Clinical Log or Math Journal

Activities and Study Questions

Related Children’s Literature

Links to Technology

References

13. Measurement.

Definition

Principles of Measurement

The General Method

The Young Child Plays and Learns

Two Measurement Systems

Difficulties in the Measurement Process

The Development of Mathematical Thinking About Length

Guided Learning—Physical Quantities

Guided Learning—Non-Physical Quantities

Summary

Ready-Set-Math

Fieldwork – Clinical Log or Math Journal

Activities and Study Questions

Related Children’s Literature

Related Music and CDs

Links to Technology

References

14. Thematic Units

All about Bears (Preschool)

The Circus (Preschool-Kindergarten)

Insects (Preschool-Kindergarten)

Peter Rabbit (First and Second Grade)

Appendix A: The NCTM Focal Points 2006

Appendix B: Classroom Equipment

Appendix C: The More or Less Game

Appendix D: Algebraic Solution

Appendix E: Glyph Clowns

Appendix F: Ten Strips

Appendix G: Dot Cards

Appendix H: The 5 Frame, The 10 Frame and the Double Frame

Appendix I: Bear Pong

Appendix J: First Grade Mathematics Informal Assessment

Appendix K: Bingo Card

Appendix L: One Hundred Chart

Appendix M: A Curriculum Web

Index

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