Thanks to TV shows like Sesame Street, many children enter preschool chanting or singing the number names from 1 to 20. Learning to count meaningfully requires both memorizing arbitrary terms or number names (rote counting) and rule-governed counting (rational counting). Rote recitation of the number words is not the same as having a good number sense for what 20, 25, or 100 means. Rational counting means a child’s ability to assign a number to the things that are being counted.
Copyright: Erikson Institute’s Early Math Collaborative. Reprinted from Big Ideas of Early Mathematics: What Teachers of Young Children Need to Know (2014), Pearson Education.
Select one or many checkboxes to narrow your results
Content Types
Grade Levels
Foundational Math Topics
Common Core Alignment
About Early Math News and ideas from all over the web
About the Collaborative News about us
Book Ideas Using books to bring out the math
Early Math Lists Tidbits about teaching
Focus on the Child Watch children explain their math thinking
Focus on Collaboration Watch educators work together to improve their practice
Focus on the Lesson Watch creative math lessons in use
Focus on Play Watch as children mathematize the fun they have every day
Hear from the Experts Watch the leading names in the world of education discuss math
Ideas at Work Real-world examples of math exploration
Research from Others Recent research by early math colleagues
Related Posts
At-Home Activity Cards: Counting
Activities related to counting books can spark a lot of conversation and creativity. These English and Spanish-language activity cards are great for printing and using at home and school.
- Series: Book Ideas
- Topics: Counting
- Age/Grade Level: Pre-K Kindergarten
- Eric Carle, Ellen Stoll Walsh, Lois Ehlert, Tana Hoban, Denise Fleming, Mitsumasa Anno, Donald Crews, Cynthia Weill, Count!, Anno’s Counting Book, Ten Black Dots, Count and See, Count Me In!, Mouse Count, 1, 2, 1-2-3 to the Zoo: A Counting Book, Fish Eyes, download
Counting a Large Collection with Child 14
A second grader has a partial understanding of counting in equal groups, but is still working on rational counting. Focus on the Child videos are taken from one-on-one interviews with individual children. The interviews are designed to elicit evidence of children’s mathematical thinking. They are not teaching episodes or formal assessments.
- Series: Focus on the Child
- Topics: Counting
- Age/Grade Level: 1st Grade 2nd Grade 3rd Grade
- Child 14, Equivalence
Rules of Counting with Fingerplays and Books
Children need experiences and practice counting in different, flexible ways while learning the rules of counting. These books and the right questions can help.
- Series: Book Ideas
- Topics: Counting
- Age/Grade Level: Pre-K Kindergarten 1st Grade
- Animals, Food, Books, Pat Hutchins, Eileen Christelow, Five Little Monkeys Jumping on the Bed, The Doorbell Rang
Movement Counts
Students roll a die and mimic animal movements to connect counting words, visual number arrangements, and actions.
- Series: Focus on the Lesson
- Topics: Counting
- Age/Grade Level: Pre-K Kindergarten
- Animals, English Language Learner, Play, Books
Decade Pattern with Child 7
A child orally counts to 100.
- Series: Focus on the Child
- Topics: Counting
- Age/Grade Level: Pre-K Kindergarten
- English Language Learner, Child 7
Counting Principles in Action with Child 18
A child determines a given quantity of blocks and then finds the new amount as blocks are added to the set.
- Series: Focus on the Child
- Topics: Counting
- Age/Grade Level: Pre-K Kindergarten 1st Grade
- Child 18
Cardinality with Child 7
A child counts on to find the total number of cubes as the set increases.
- Series: Focus on the Child
- Topics: Number Operations
- Age/Grade Level: Pre-K Kindergarten
- English Language Learner, Child 7
Place Value: Meaning of the Digits with Child 14
This second grader has uncertainty about the meaning of the digits. He is working to construct the understanding that place determines the value of a number.
- Series: Focus on the Child
- Topics: Number Sense Counting
- Age/Grade Level: 1st Grade 2nd Grade 3rd Grade
- Child 14, Place Value
Counting Teens and Twenties with Child 14
A kindergartner demonstrates how high he can count.
- Series: Focus on the Child
- Topics: Counting
- Age/Grade Level: Pre-K Kindergarten
- English Language Learner, Child 14
Using Number Paths with Child 9
A child counts forwards and backwards using a number line with hidden digits.
- Series: Focus on the Child
- Topics: Counting
- Age/Grade Level: Pre-K Kindergarten
- Child 9
Myths of Early Mathematics (Part 1)
Jennifer McCray, director of Erikson’s Early Math Collaborative, addresses some myths about early math. Counting is, in fact, complicated!
- Series: Hear from the Experts
- Topics: Number Sense Counting
- Age/Grade Level: Adult Learners Pre-K
Learning the Counting Words with Child 4
A child counts as high as he can.
- Series: Focus on the Child
- Topics: Counting
- Age/Grade Level: Pre-K Kindergarten
- Child 4
Myths of Early Mathematics (Part 2)
Jennifer McCray, director of Erikson’s Early Math Collaborative, continues her talk on some of the most common misconceptions about early math education.
- Series: Hear from the Experts
- Topics: Number Sense Counting
- Age/Grade Level: Adult Learners Pre-K
Myths of Early Mathematics (Part 3)
Jennifer McCray, director of Erikson’s Early Math Collaborative, continues her talk on some of the major misunderstandings about what goes into teaching mathematics to young students. In this section, she focuses on how children gradually develop their understanding of number and quantity.
- Series: Hear from the Experts
- Topics: Number Sense Counting
- Age/Grade Level: Adult Learners Pre-K