Active Experiences for Active Children: Mathematics, 3rd edition

Published by Pearson (August 4, 2011) © 2012

  • Carol Seefeldt University of Maryland
  • Alice Galper
  • Ithel Jones

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  • For the Teacher and For the Children sections provide a balance between intentional teaching resources and child-centered learning activities
  • The excellent coverage of important mathematical content for children presents a consistent and well-rounded text.
  • The text includes the most up-to date research and recommendations from the National Research Council.
  • Assessment techniques in the text allow teachers and students to use a variety of techniques, including documentation.
  • NEW! A new author from NIEER, Judi Stevenson-Garcia, brings contemporary classroom experiences and research to this solid and balanced book originally conceptualized by Carol Seefeldt and Alice Galper.

  • NEW! To ensure that readers are receiving the most current research and implications for teaching math to young children, this edition features the most up-to date research and recommendations from the National Research Council regarding early childhood math standards, curriculum, assessment, and cognitive development throughout the text.

  • NEW! This edition provides more developmentally appropriate and intentional assessment guidance than ever before. Detailed instructions for conducting comprehensive assessments, with guidance and suggestions for observing and interviewing children, documenting their learning, and using assessment information to guide instruction are all added to this enhanced content.

  • NEW! Features updated, research-based guides explaining children’s cognitive and skill development in all math content areas, based on the Learning Trajectories Approach. Teachers will learn the sequence in which children understand math concepts, thereby making instruction more relevant and meaningful, concrete and practical.

  • NEW! In every chapter in Part II of the text, an updated Home-School Connection feature illustrates and exemplifies various ways to support children’s daily learning of mathematics. New reproducible home-school connection communications are included along with recommendations for exploring math concepts at home and in the community, ideas for community-school math activities, communicating children’s learning to family members, and soliciting help from parents or family members to support children’s learning in and out of school.

  • NEW! Technology resources, including updated websites and recommendations for using technology to support assessment and instruction, are featured at the completion of every chapter. These technology enhancements provide new avenues for seeking the most current information, current ways to use technology to support young children’s mathematical understanding, and assessment of student progress.

  • Part II gives readers the most current resources and learning experiences at their disposal with the addition of updated reviews of relevant children’s literature, including new recommendations for math content areas and new recommended activities based on the literature.
PART ONE     THEORY OF ACTIVE EXPERIENCES

 

 1      Experiences and Mathematics in Early Childhood: Theory into Practice

            Deep Personal Meaning

                Firsthand Experiences

                Initiative, Choices, and Decision Making

                Developmentally Appropriate

                Content with Meaning and Integrity

            Involving Others

                Play

                Group Work and Projects

                Interactions with Teachers and Other Adults

            Covered with Language

            Continuity of Learning

            Time to Reflect

                Organization

                Observation and Assessment

            Summary

 

2      Active Children, Active Environments

            The Essentials

                Beauty

                Space

                Aesthetics

            Indoor Spaces

                Integrating Spaces

                Math or Manipulative Areas

                Science Areas

                Art Centers

                Woodworking Centers

                Book and Library Centers

                Sociodramatic Play Areas

                Block Areas

                Water and Sand Areas

                Music Areas

                Computer Stations

                Quiet Spaces

            Outdoor Spaces

                Math/Science and Nature Discovery Areas

                Art Spaces

                Physical Spaces

                Other Spaces

                Planning for Inclusion

            The Teacher’s Role

            Summary

 

3      Building Connections to Home and Community Through Active Experiences

            Out into the School

                Inside the School Building

                Outside in the Natural Environment

            Out into the Neighborhood and Community

                Basic Guidelines for Meaningful Field Experiences

            Building Connections with the Neighborhood and Community

                The Neighborhood as a Mathematics Laboratory

                Neighborhood Resources

            The Home—School Connection

            Summary

 

4      Connecting Everyday Experiences with Mathematical Content

            Knowledge of Children

            Knowledge of the Subject Matter: Mathematics

                Principles for Teaching Mathematics

                NCTM Standards

                Curriculum Focal Points and Connections

            Using Knowledge of Mathematics to Guide Children’s Development

            Expanding and Extending Firsthand Experiences

            Summary

 

Part TWO     Guides to Active Experiences

 

5      Developing Ideas of Number and Operations

            For the Teacher

                What You’ll Need to Know

                Key Concepts

                Goals and Objectives

                What You’ll Need

                The Home—School Connection

                Documenting and Assessing Children’s Learning

            For the Children

                Learning About Numbers and Counting

                Reflecting

                Extending and Expanding to the Primary Grades

            Tear-Out Sheets

 

6      Learning the Basic Concepts of Algebra

            For the Teacher

                What You’ll Need to Know

                Key Concepts

                Goals and Objectives

                What You’ll Need

                The Home—School Connection

                Documenting and Assessing Children’s Learning

            For the Children

                Learning Algebraic Concepts

                Reflecting

                Extending and Expanding to the Primary Grades

            Tear-Out Sheets

 

7      Developing Geometric and Spatial Thinking Skills  

            For the Teacher

                What You’ll Need to Know

                Key Concepts

                Goals and Objectives

                What You’ll Need

                The Home—School Connection

                Documenting and Assessing Children’s Learning

            For the Children

                Exploring Geometry

                Reflecting

                Extending and Expanding to the Primary Grades

            Tear-Out Sheets

    

8       Learning the Basic Concepts of Measurement

            For the Teacher

                What You’ll Need to Know

                Key Concepts

                Goals and Objectives

                What You’ll Need

                The Home—School Connection

                Documenting and Assessing Children’s Learning

            For the Children

                Measuring

                Extending and Expanding to the Primary Grades

            Tear-Out Sheets

    

9       Data Description, Organization, Representation, and Analysis

            For the Teacher

                 What You’ll Need to Know

                Key Concepts

                Goals and Objectives

                What You’ll Need

                The Home—School Connection

                Documenting and Assessing Children’s Learning

            For the Children

                Collecting and Analyzing Data

                Reflecting

                Extending and Expanding to the Primary Grades

    

10     Learning to Problem-Solve

            For the Teacher

                What You’ll Need to Know

                Key Concepts

                Goals and Objectives

                What You’ll Need

                The Home—School Connection

                Documenting and Assessing Children’s Learning

            For the Children

                Project Work

                Extending and Expanding to the Primary Grades

            Tear-Out Sheets

 

References

 

Children’s Books

 

Resources

 

Index 

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