Learning and Teaching Early Math: The Learning Trajectories Approach

by Clements; Douglas H.

• ISBN13: 9780415995917
• ISBN10: 0415995914
• Edition: 1st
• Format: Hardcover
• Copyright: 2009-03-12
• Publisher: Routledge

Summary

In this important new book for pre- and in-service teachers, early math experts Douglas Clements and Julie Sarama show how "learning trajectories" help teachers become more effective professionals. By opening up new windows to seeing young children and the inherent delight and curiosity behind their mathematical reasoning, learning trajectories ultimately make teaching more joyous. They help teachers understand the varying level of knowledge and thinking of their classes and the individuals within them as key in serving the needs of all children. In straightforward, no-nonsense language, this book summarizes what is known about how children learn mathematics, and how to build on what they know to realize more effective teaching practice. It will help teachers understand the learning trajectories of early mathematics and become quintessential professionals.

Table of Contents

Preface

Young Children and Mathematics Learning

Quantity, Number, and Subitizing

Verbal and Object Counting

Comparing, Ordering, and Estimating

Arithmetic: Early Addition and Subtraction and Counting Strategies

Arithmetic: Composition of Number, Place Value, and Multidigit Addition and Subtraction

Spatial Thinking

Shape

Composition and Decomposition of Shapes

Geometric Measurement-Length

Geometric Measurement

Area , Volume, and Angle

Other Content Domains

Mathematical Processes

Cognition, Affect, and Equity

Early Childhood Mathematics Education: Contexts and Curricula

Instructional Practices and Pedagogical Issues

Table of Contents provided by Publisher. All Rights Reserved.