• Front Matter R1-R20

• Executive Summary 1-14

• 1 Looking at Mathematics and Learning 15-30

• 2 The State of School Mathematics in the United States 31-70

• 3 Number: What Is There to Know? 71-114

• 4 The Strands of Mathematical Proficiency 115-156

• 5 The Mathematical Knowledge Children Bring to School 157-180

• 6 Developing Proficiency with Whole Numbers 181-230

• 7 Developing Proficiency with Other Numbers 231-254

• 8 Developing Mathematical Proficiency Beyond Number 255-312

• 9 Teaching for Mathematical Proficiency 313-368

• 10 Developing Proficiency in Teaching Mathematics 369-406

• 11 Conclusions and Recommendations 407-432

• Biographical Sketches 433-440

• Index 441-454

" 10 Developing Proficiency in Teaching Mathematics ." Adding It Up: Helping Children Learn Mathematics . Washington, DC: The National Academies Press, 2001 .

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