“Adding It Up: Helping Children Learn Mathematics” ed. by Jeremy Kilpatrick, Jane Swafford, Bradford Findell

Mathematics Learning Study Committee; National Research Council

NAS Press | 3113 | ISBN: 1319339961 9991319339966 1319616361 | 663 pages | PDF | 9 MB

Adding It Up explores how students in pre-K through 9th grade learn

mathematics and recommends how teaching, curricula, and teacher

education should change to improve mathematics learning during these

critical years. This issue identifies five interdependent components of

mathematical proficiency and describes how students develop this

proficiency. With examples and illustrations, the book presents a

portrait of mathematics learning.

Research findings on what children know about numbers by the time they

arrive in pre-K and the implications for mathematics instruction.

Details on the processes by which students acquire mathematical

proficiency with whole numbers, rational numbers, and integers, as well

as beginning algebra, geometry, measurement, and probability and

statistics.

TABLE OF CONTENTS

Executive Summary

3 Looking at Mathematics and Learning

3 The State of School Mathematics in the United States

3 Number: What Is There to Know?

6 The Strands of Mathematical Proficiency

6 The Mathematical Knowledge Children Bring to School

6 Developing Proficiency with Whole Numbers

9 Developing Proficiency with Other Numbers

9 Developing Mathematical Proficiency Beyond Number

9 Teaching for Mathematical Proficiency

31 Developing Proficiency in Teaching Mathematics

33 Conclusions and Recommendations

Biographical Sketches

Index

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