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Math Strands

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Special Topics

Kindergarten Math

A collection of our many ideas for kindergarten math activities and the thinking that takes place in kindergarten. For young children exploring activities, thinking, and math games can be a healthy part of children’s first experiences with math. Here are the many resources we have on our website.

what is a number path
Series: Ideas at Work

What is a Number Path and How Does It Build Number Relationships?

February 22, 2023

Many of children’s favorite board games follow a path to a goal. Exploring a number path with young children also leads to a goal that is critical for early mathematics: understanding number relationships. What is…

  • Topic: Number Sense, Counting
  • Age/Grade Level: Pre-K, Kindergarten, 1st Grade
  • Tags Games
reading books about numbers with 1 Smile 10 Toes
Series: Book Ideas September 28, 2022

4 Playful Counting Books That Bring Numbers to Life

Counting books that offer children opportunities to participate bring play into math learning. These books engage children physically, cognitively, and emotionally—making them favorites that children will ask to read again and again.

  • Topic: Number Sense
  • Age/Grade Level: Pre-K, Kindergarten, 1st Grade
  • Tags Family Math
mathematical language routine
Series: Ideas at Work June 6, 2022

How to Use Digital Photos to Build a Mathematical Language Routine for Kids

It turns out that mathematical thinking is developed in conversation with others; asking students “how do you know that?” will reveal a child’s mathematical reasoning skills. The ability to explain one’s thinking is a cognitive…

  • Topic: Sets, Number Sense
  • Age/Grade Level: Pre-K, Kindergarten, 1st Grade, 2nd Grade, 3rd Grade
  • Tags Number Talks, English Language Learner
Benchmarks of 5 and 10
Series: Focus on the Child March 22, 2022

Benchmarks of 5 and 10 with Child 39

This child uses the visual arrangement of a ten frame to conceptually subitize quantities into the teen numbers. He recognizes a full row as a unit of 5 and uses that to derive larger numbers…

  • Topic: Number Operations
  • Age/Grade Level: Pre-K, Kindergarten
  • Tags Child 39
Solving Problem Both Parts Unknown
Series: Focus on the Child March 22, 2022

Solving a Problem with Both Parts Unknown with Child 39

This child encounters a new type of problem situation: a part-part-whole story where both parts are unknown. He is uncertain how to model the problem at first but has some success with adult support. Focus…

  • Topic: Number Operations
  • Age/Grade Level: Pre-K, Kindergarten
  • Tags Child 39
Solving-Part-Part-Whole Problem
Series: Focus on the Child March 22, 2022

Solving a Part-Part-Whole Problem with Child 39

This child uses cubes to model a part-part-whole problem where the whole is unknown. He uses a counting all strategy. He counts out each part and then counts them altogether, starting from one. Focus on…

  • Topic: Number Operations
  • Age/Grade Level: Pre-K, Kindergarten
  • Tags Child 39
Series: Focus on Play November 17, 2021

Quantity Cards for Subitizing

Quantity is a particular amount of something, expressed as a number. Quantity cards for young children can have pictures of small sets such as dots, finger patterns, or 5- or 10- frames. The ones we…

  • Topic: Number Sense
  • Age/Grade Level: Pre-K, Kindergarten
  • Tags Play, Games, Family Math, En Español, Subitizing
cardinality of a set
Series: Focus on the Child May 19, 2021

Why Cardinality is the Goal of Counting

What is cardinality? And how is it related to counting? The common definition of cardinality states that it’s the understanding that the last number word said when counting tells how many in all.

  • Topic: Sets, Number Sense, Counting
  • Age/Grade Level: Pre-K, Kindergarten
  • Tags Cardinality
data collection activities
Series: Book Ideas May 5, 2021

Early Childhood Data Collection Activities Are for the Birds

Children are naturally interested in birds, so springtime is the perfect opportunity for early childhood data collection activities. Here are some favorites, along with book recommendations.

  • Topic: Data Analysis
  • Age/Grade Level: Pre-K, Kindergarten, 1st Grade
  • Tags Asia Citro, Susan Edwards Richmond, Family Math, Birds, Kevin Henkes, Animals
diy rekenrek
Series: Ideas at Work April 14, 2021

DIY Rekenrek Ideas for Home and School

To encourage teachers and other adults to use rekenreks, it's important to not only go over ways to use a rekenrek, but also we thought we would make sure everyone has opportunities to have them,…

  • Topic: Number Sense, Counting
  • Age/Grade Level: Pre-K, Kindergarten
  • Tags Rekenrek, Subitizing
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