1. HS Child Development and Early Learning Framework
  2. Subitizing: What is it? Why teach it? by Doug Clements or here Doug ClementsSubitizing: What is it? Why Teach it?”
  3. Article. Stipek, D., Schoenfeld, A., & Gomby, D. (2012). Math matters, even for little kids. Education Week. Retrieved from
  4. Article Making Play Work for Education by Deborah Weisberg and colleagues (6 pages).
  5. Video. YouTube. (2013, November 22). Why Early Childhood is the Right Time to Start Learning Math – Doug Clements [Video file]. Retrieved from
  6. Videos about How Many Are Hiding, Finger Games, and Teacher guided instruction. (2015). Games for Young Mathematicians.
  7. Video about Two Numbers. (2016). Games for Young Mathematicians.
  8. YouTube. (2011). By the Numbers – Who Has More [Video File].
  9. Video. YouTube. (2015). Problem Solving Development: Composing Shapes Doug Clements describes the Composing Geometric Shapes learning trajectories for young children.
  10. A website with suggestions for games, activities, books, materials, and videos for mathematics toddlers to preschoolers.

Book Examples

A-B-A-B-A A Book of Pattern Play (Math Is Categorical)
Counting (Math Counts)
Five Little Monkeys Jumping on the Bed (A Five Little Monkeys Story)
How Many Snails?: A Counting Book (Counting Books (Greenwillow Books))
Mouse Count
Mouse Shapes books
Numbers (Math Counts)
Pattern (Math Counts)
Pattern Bugs
Quack and Count
Seashells by the Seashore
Shape (Math Counts)
Ten Black Dots
The Baseball Counting Book
The Greedy Triangle (Scholastic Bookshelf)
The Little Engine That Could
The Very Hungry Caterpillar

Toy Examples

Hi Ho Cherry-O
Chutes and Ladders
Memory Game