Adding It Up: Helping Children Learn MathematicsNational Research Council, Division of Behavioral and Social Sciences and Education, Center for Education, Mathematics Learning Study Committee Adding It Up explores how students in preK through 8th grade learn mathematics and recommends how teaching, curricula, and teacher education should change to improve mathematics learning during these critical years.

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Contents
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 