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.
"Don't look away at the sight of 'mathematics' in the title: the audience for this book is as much outside its field as inside. ...this book provides a persuasive and well crafted synthesis of research, critically evaluated and revised through an extesnvie review process prior to publication..."
-- Cambridge Journal of Education, 2003 (Vol. 33, Nov. 2)