Adding It Up: Helping Children Learn Mathematics

Front Cover

Adding It Up explores how students in pre-K through 8th grade learn mathematics and recommends how teaching, curricula, and teacher education should change to improve mathematics learning during these critical years.

The committee 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.

The committee discusses what is known from research about teaching for mathematics proficiency, focusing on the interactions between teachers and students around educational materials and how teachers develop proficiency in teaching mathematics.

 

Contents

Executive Summary
1
Looking at Mathematics and Learning
15
The State of School Mathematics in the United States
31
What Is There to Know?
71
The Strands of Mathematical Proficiency
115
The Mathematical Knowledge Children Bring to School
157
Developing Proficiency with Whole Numbers
181
Developing Proficiency with Other Numbers
231
Developing Mathematical Proficiency Beyond Number
255
Teaching for Mathematical Proficiency
313
Developing Proficiency in Teaching Mathematics
369
Conclusions and Recommendations
407
Biographical Sketches
433
Copyright

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