Children Are Born Mathematicians: Supporting Mathematical Development, Birth to Age 8 / Edition 1

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Overview

This brand new book for Early Childhood Mathematics Methods classes takes a comprehensive and chronological view of mathematics development in children, beginning at birth and going through the third grade. It offers specific teaching suggestions for each grade level based on the newly released NCTM (National Council of Teachers of Mathematics) standards. The new NCTM focal points for each grade are designed to help make mathematics teaching coherent and focused. Knowing what the two or three most important concepts are in each grade help teachers focus their teaching and their mathematics program. Using these standards can help teachers to use many different methods to reach their objectives rather than being tied to one specific method.

This book takes a constructivist approach, meaning that children should be active learners and interact with other children in learning and constructing their knowledge. The author stresses that this process is at least as important as correct answers, as is comprehension of concepts. Teachers should focus on questioning and promoting mathematical thinking rather than simply getting the correct answer. Finally, the author encourages teachers to see math as a developmental process that children engage in as they grown and develop. The teacher’s role is to promote concept understanding and development through active experiences and questioning techniques in combination with teaching skills in developmentally appropriate ways.

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Product Details

  • ISBN-13: 9780131116771
  • Publisher: Pearson
  • Publication date: 2/15/2008
  • Series: Pearson Custom Education Series
  • Edition description: New Edition
  • Edition number: 1
  • Pages: 416
  • Sales rank: 1,040,028
  • Product dimensions: 7.40 (w) x 9.00 (h) x 0.90 (d)

Table of Contents

Chapter 1 Children and Mathematics: A Natural Combination

What is Emergent Mathematics?

Making a Difference as a Teacher

Recent Findings in Teaching Mathematics

Treating Children as Mathematicians

NCTM Principles, Standards and Curriculum Focal Points

Putting the Pieces Together: The "3E" Approach

Summary

Web Sites

Discuss and Apply What You Have Learned

Chapter 2 Building a Knowledge Base and Learning to Reflect

Understanding Yourself

Teachers are Decision Makers

Understanding Child Development

Understanding Your Students

Summary

Web Pages

Discuss and Apply What You Have Learned

Chapter 3 Diversity, Equity, and Individualized Instruction

Individualized Instruction

Socioeconomic Factors

Minority Student Achievement

Children with Special Needs

English Language Learners and Linguistic Diversity

Gender Differences

Summary

Web Pages

Discuss and Apply What You Have Learned

Chapter 4 Creating a Constructivist Classroom

The Child-Centered Curriculum

Preparation of the Child-Centered Environment

Materials

What to Do Before the First Day

Summary

Web Pages

Discuss and Apply What You Have Learned

Chapter 5 Infants and Toddlers

What are Infants and Toddlers Like?

What Mathematical Concepts Do Infants and Toddlers Learn?

Meeting Standards with Infants and Toddlers

What Does an Infant and Toddler Learning Environment Look Like?

Developmentally Appropriate Strategies and Activities for Infants and Toddlers

Supporting Emergent Mathematics

Sample Infant and Toddler Lesson Plans

Assessment

Summary

Web Pages

Discuss and Apply What You Have Learned

Chapter 6 Preschool Age

What Are Preschool Children Like?

What Mathematical Concepts Do Preschool Children Learn?

Meeting Standards with Preschool Children

What Does a Preschool Mathematics Learning Environment Look Like?

Developmentally Appropriate Strategies and Activities for Preschool Age Children

Sample Preschool Lesson Plans

Assessment

Summary

Web Pages

Discuss and Apply What You Have Learned

Chapter 7 Kindergarten and First Grade

What Are K-1 Children Like?

What Mathematical Concepts Do K-1 Children Learn?

Meeting Standards with K-1 Children

What Does a K-1 Mathematics Learning Environment Look Like?

Developmentally Appropriate Strategies and Activities for K-1 Age Children

Sample Kindergarten and First-Grade Lesson Plans

Assessing Mathematics in K-1

Summary

Web Pages

Discuss and Apply What You Have Learned

Chapter 8 Second and Third Grade

What Are SEcond and Third Graders Like?

What Mathematical Concepts Do Second and Third Grade Children Learn?

Learning Disabilities - ADHD, Dyslexia and Dyscalculia

Meeting Standards for Second and Third Grade Children

What Does a Second and Third Grade Mathematics Learning Environment Look Like?

Developmentally Appropriate Strategies and Activities for Second and Third Grade Children

Sample Second- and Third-Grade Lesson Plans

Assessing Mathematics in Second and Third Grade

Summary

Web Pages

Discuss and Apply What You Have Learned

Chapter 9 Integrating Mathematics

The Importance of Integration

Using the Project Approach

Summary

Web Pages

Discuss and Apply What You Have Learned

Appendix - Sample State Standards

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