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 teach