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

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“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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