Learning and Teaching Early Math The Learning Trajectories Approach - Studies in Mathematical Thinking and Learning

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 a quintessential professional.

Table of Contents

Contents

Preface

Acknowledgments

1. Young Children and Mathematics Learning

2. Quantity, Number, and Subitizing

3. Verbal and Object Counting

4. Comparing, Ordering, and Estimating

5. Arithmetic: Early Addition and Subtraction and Counting Strategies

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

7. Spatial Thinking

8. Shape

9. Composition and Decomposition of Shapes

10. Geometric Measurement: Length

11. Geometric Measurement: Area, Volume, and Angle

12. Other Content Domains

13. Mathematical Processes

14. Cognition, Affect, and Equity

15. Early Childhood Mathematics Education: Contexts and Curricula

16. Instructional Practices and Pedagogical Issues

Notes

References

Index

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