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Math Strands

Types

for

Audience

Special Topics

Number Operations

When children focus on what happens when we join two sets together or separate a set into parts, they learn about how quantities change. When they have lots of experience comparing amounts, they become familiar with thinking about differences between sets. And when they have opportunities to see how a single large set can be composed of two or more smaller sets, they get comfortable with the fact that larger numbers contain smaller numbers. These ways of mentally modeling real situations are what we mean by number operations.

© Erikson Institute’s Early Math Collaborative. Reprinted from Big Ideas of Early Mathematics: What Teachers of Young Children Need to Know (2014), Pearson Education.

● A quantity (whole) can be decomposed into equal or unequal parts; the parts can be composed to form the whole.
● Sets can be compared using the attribute of numerosity, and ordered by more than, less than, and equal to.
● Sets can be changed by adding items (joining) or by taking some away (separating).

Benchmarks of 5 and 10
Series: Focus on the Child

Benchmarks of 5 and 10 with Child 39

March 22, 2022

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
preschool math games, remote
Series: Focus on Play December 29, 2020

New Use of Quantity Cards for Remote Preschool Math Games

Whether teaching in-person with social distancing or online, the number one question we hear from teachers is how to adapt preschool math games for remote learning. Here are some game ideas that work equally well…

  • Topic: Counting, Number Operations
  • Age/Grade Level: Pre-K, Kindergarten
  • Tags Play, Games, Subitizing, Family Math
Math Card Games playing cards
Series: Focus on Play June 5, 2020

How to Adapt Math Card Games to Children’s Skill Level

Card games provide meaningful practice of the basic number combinations. These common card games that children learn in school or at home can be revisited many times and can be adapted to children’s own math…

  • Topic: Counting, Number Operations
  • Age/Grade Level: Pre-K, Kindergarten, 1st Grade, 2nd Grade, 3rd Grade
  • Tags Games, Family Math, En Español, download, Subitizing, Play
three reads strategy ED616
Series: Focus on the Lesson January 28, 2020

Launch Problem Solving with Understanding Using Three Reads

In this lesson launch, we see a third-grade teacher using reading comprehension strategies to help children understand a math story problem using a Three Reads strategy.

  • Topic: Number Operations
  • Age/Grade Level: Kindergarten, 1st Grade, 2nd Grade, 3rd Grade
change unknown word problems
Series: Focus on the Child December 5, 2019

Egg Carton Story with Child 15

The math story this second grader solves is a change unknown story. There was a full carton of a dozen eggs but some were eaten, leaving only 3 eggs. After making sense of the problem,…

  • Topic: Number Operations
  • Age/Grade Level: 1st Grade, 2nd Grade, 3rd Grade
  • Tags Child 15
math stories numbers guide his thinking
Series: Focus on the Child December 4, 2019

Teddy Bear Picnic Math Stories with Child 15

A second-grade student solves a variety of addition and subtraction math stories. Using his fingers as math tools, he is able to solve the stories, even as what is known or unknown shifts.

  • Topic: Number Operations
  • Age/Grade Level: 1st Grade, 2nd Grade, 3rd Grade
  • Tags Child 15
addition game 636x363
Series: Focus on the Child December 3, 2019

Capture It with Child 15

A second-grader works on basic number combinations as we see him playing a comparison card game, Capture It. He is accurate when comparing sums but is still developing his efficiency and flexibility, key indications of…

  • Topic: Number Operations
  • Age/Grade Level: 1st Grade, 2nd Grade, 3rd Grade
  • Tags Child 15
Series: Adult Learning February 25, 2019

Exploring Unit Block Relationships

Examining sets of unit blocks challenges educators to think about relationships of the blocks. A deeper understanding of the features of unit blocks empowers teachers to support children in ways that promote joyful math learning.

  • Topic: Number Operations, Shape
  • Age/Grade Level: Adult Learners, Pre-K, Kindergarten
  • Tags Blocks
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