## Description

*Integrating Math and Science in Early Childhood Classrooms Through Big Ideas* offers teachers a way to think about the future classroom and to meet the needs of children who come to into it with diverse experience, knowledge, and abilities. “Change how we think about math and science for young children,” the authors say in their Preface. “Instead of separating the disciplines, planning lessons and topics and projects aimed at math OR science content, let’s look at the world the way the child does. Children think in terms of big ideas.”

In this unique book, the authors focus on big ideas—like patterns, transformation, movement, balance, and relationships—as a way to think about content, and they integrate science and mathematics through these big ideas, rather than linking them topically. The book looks at why it is important to think about thinking, introduces assessment early to help the teacher plan for assessment before teaching even begins, and sets up an environment that will support the construction of the big ideas that integrate math and science. Real-life scenarios provide invaluable insights into the teacher’s thinking and planning, and each chapter includes two modules to be used for in-depth exploration of different aspects of the big ideas. It’s a unique exploration of thinking and learning.

## Table of Contents

**Brief Table Of Contents**

Chapter 1: Constructivist Curriculum Framework for the Integration of Math and Science in Early Childhood Classrooms

Chapter 2: Assessment

Chapter 3: Creating an Environment for Math and Science Integration

Chapter 4: Patterns

Chapter 5: Transformation

Chapter 6: Movement

Chapter 7: Balance and Symmetry

Chapter 8: Relationships

Chapter 9: Developing Your Own Curriculum: Big Ideas and Planning

References

Glossary

**Detailed Table Of Contents**

**PART I: Introduction**

**Chapter 1: Constructivist Curriculum Framework for the Integration of Math and Science in Early Childhood Classrooms**

Children as Theory-Builders

What Is Constructivism?

Big Ideas as Tools for Integration

What Is a Big Idea?

Characteristics of Big Ideas

Views of Teaching and Learning

The Child at the Center

Celebration of the Diversity of Children

What About Content?

Child-Centered Versus Teacher-Directed Curriculum: A False Dichotomy

Background on the Model of Curriculum Integration Used in This Book

Historical Context

Models of Curriculum Integration

The Project Approach

Big Ideas, Projects, Concepts, Topics, and Facts: What Are the Differences?

The Work of Reggio Emilia

Review Questions

Summary

Websites

**Chapter 2: Assessment**

Why Begin with Assessment?

Understanding Children’s Development

Principles of Development

Responding to Children’s Needs

Culture and Context 24

Principles of Assessment

Assessment Should Be Valid

Assessment Should Guide Teaching Decisions

Assessment Should Be Part of a System That Is Designed to Support the Whole Child

Vocabulary Development and Assessment

Teacher Language

Documentation of Children’s Learning as Assessment

Documentation Strategies for Integrated Math and Science

Capturing the Documentation

More Formalized Assessment Tools

Science and Math Journals

Interviewing for Assessment

Questions That Help with Assessment

Interviewing Activities

Standards and Assessment

Standardized Testing

EdTPA

Review Questions

Summary

Websites

**Chapter 3: Creating an Environment for Math and Science Integration **

How Our Beliefs About Children, Teaching, and Learning Shape Our Environments

Academic Environment

Physical Environment

Classroom Organization

Differentiation Built into the Environment

Animals in the Classroom

Communicating with Families and Others Through the Environment

Review Questions

Summary

Websites

**PART II: Integration Through Big Ideas**

**Chapter 4: Patterns**

Patterns

What Is Important About Patterns? Why Do We Talk About Patterns with Young Children?

Elements of the Big Idea of Patterns

Repeating Patterns

Spatial Structure Patterns

Growing Patterns

Subitizing

Seriation and Sequencing

Patterns Surround Us

Patterns Help Us Predict

Patterns Help Us Make Connections

Patterns Help Us Organize Information

Review Questions

Summary

**Chapter 5: Transformation**

What Is Transformation?

Relationship Building as a Part of Transformation

Equivalence as Part of Transformation

Exploration of Transformation

Observation

Estimation

Experimentation

Growth

Review Questions

Summary

**Chapter 6: Movement**

Introduction to the Big Idea of Movement

Elements of the Big Idea of Movement

Direction of Movement

Representation of Movement

Types of Movement

Movement of the Surface

Sources of Movement

Mysterious Movement

Spinning

The Movement of Time

Review Questions

Summary

**Chapter 7: Balance and Symmetry**

Elements of the Big Idea of Balance

Comparisons

Patterns

The Establishment of Equality

Exploration of Balance

The Study of Symmetry

Comparisons and Tools of Measurement

The Use of Representations

Games That Incorporate Balance: Physical Knowledge

Review Questions

Summary

**Chapter 8: Relationships **

Introduction to the Big Idea of Relationships

Elements of the Big Idea of Relationships

Cause and Effect

Part/Whole Relationships

Classification

Perspective-Taking and Interdependence

Review Questions

Summary

**Chapter 9: Developing Your Own Curriculum: Big Ideas and Planning **

Determining the Big Idea

Coming up with New Big Ideas

Re-thinking an Activity, Project, or Unit

Starting with Children’s Interests

Starting with an Event

Starting with Where You Are

Start with an Interest of Yours

Starting with the Standards

The Planning Process: Strategies for Thinking About Planning

The Planning Process: What Does It Look Like?

Planning for Integration and Inquiry

The Project Approach

Planning with the End in Sight

The Five E Learning Cycle

Using Other Areas of the Curriculum to Strengthen Math and Science

Connecting Language Arts, Math, and Science

Connecting Children’s Literature, Math, and Science

Cognitively Guided Instruction

Starting with a Standard

Connecting the Arts, Math and Science

Connecting Social Studies, Math and Science

Review Questions

Summary

Websites

References

Glossary

Name Index

Subject Index

### Digital

$19.99 | ISBN-13: 978-0-13-399853-5