ABSTRACT

Written for pre-service and in-service educators, as well as parents of children in preschool through grade five, this book connects research in cognitive development and math education to offer an accessibly written and practical introduction to the science of elementary math learning.

Structured according to children’s mathematical development, How Children Learn Math systematically reviews and synthesizes the latest developmental research on mathematical cognition into accessible sections that explain both the scientific evidence available and its practical classroom application. Written by an author team with decades of collective experience in cognitive learning research, clinical learning evaluations, and classroom experience working with both teachers and children, this amply illustrated text offers a powerful resource for understanding children’s mathematical development, from quantitative intuition to word problems, and helps readers understand and identify math learning difficulties that may emerge in later grades.

Aimed at pre-service and in-service teachers and educators with little background in cognitive development, the book distills important findings in cognitive development into clear, accessible language and practical suggestions. The book therefore serves as an ideal text for pre-service early childhood, elementary, and special education teachers, as well as early career researchers, or as a professional development resource for in-service teachers, supervisors and administrators, school psychologists, homeschool parents, and other educators.

chapter Chapter 1|27 pages

Setting the Stage

Attention, Mental Control, Memory, and Understanding

part I|52 pages

Mathematical Headwaters

chapter Chapter 2|24 pages

Sizing Up

chapter Chapter 3|24 pages

The Prelude to Counting

part II|67 pages

Spatial Skills

chapter Chapter 4|33 pages

Visual-Spatial Skills

chapter Chapter 5|30 pages

Spatial Skills, Math, SES, and Sex

part III|103 pages

The Tools of Numeracy

chapter Chapter 6|28 pages

Number Words and Counting

chapter Chapter 7|15 pages

Fingers

chapter Chapter 8|23 pages

Arabic Digits and Base-10 Notation

chapter Chapter 9|33 pages

The Number Line and Linear Measurement

part IV|139 pages

Arithmetic

chapter Chapter 10|31 pages

Whole-Number Arithmetic

chapter Chapter 11|42 pages

Rational Numbers and Operations

chapter Chapter 12|35 pages

Written Story Problems

chapter Chapter 13|27 pages

Early Math Screening

Spotting the Red Flags and Skill Gaps