• About
  • Projects
  • Contact
  • Join
  • Login
Erikson Institute Early Math Collaborative
Early Math Collaborative
  • Español de México
  • Why Early Math?
    Our Mission Big Ideas of Early Math Precursor Concepts Racial Justice
  • Professional Development
    Whole Teacher Approach Learning Labs Instructional Coaching Leadership Academies Our Books
  • Online Learning
    Our Resources Professional Learning Modules Series Online Degrees
  • Research
    Teacher Development Publications Presentations Measuring Math
  • Events
    Events Calendar Summer Institutes Promising Math
  • Ideas
  • Why Early Math?
    • Our Mission
    • Big Ideas of Early Math
    • Precursor Concepts
    • Racial Justice
  • Professional Development
    • Learning Labs
    • Instructional Coaching
    • Leadership Academies
    • Our Books
  • Online Learning
    • Online Learning
    • Professional Learning Modules
    • Series
    • Online Degrees
  • Research
    • Teacher Change
    • Publications
    • Presentations
    • Measuring Math
  • Events
    • Events Calendar
    • Summer Institutes
    • Promising Math
  • About
    • About
    • Projects and Partnerships
    • Staff
    • Contact
  • Language Switcher
    • English
    • Español de México
  • Ideas
  • MyDashboard
  • Login or Join Today

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).

Series: Focus on Collaboration

Planning and Reflecting with a Ten Frame Number Talk

January 26, 2016

These two first-grade teachers plan a visual number talk together using ten frames. After both try it, they reflect on the strategies that students used.

  • Topic: Number Operations
  • Age/Grade Level: Pre-K, Kindergarten, 1st Grade, 2nd Grade, 3rd Grade
  • Tags Number Talks
Series: Hear from the Experts January 5, 2016

Study Suggests Apps for Kids Can Aid Math Learning

Apps for kids can provide a unique opportunity for social engagement, allowing children to collaborate with their parents or peers while learning.

  • Topic: Number Operations, Shape
  • Age/Grade Level: Pre-K
  • Tags Technology, Apps
room on the broom activities
Series: Book Ideas October 13, 2015

Make Room for Halloween Math

Have some Halloween fun with the witch’s tale Room on the Broom. In this lively story by Julia Donaldson and Axel Scheffler, a witch makes room for her animal friends to ride on her broomstick……

  • Topic: Number Sense, Number Operations
  • Age/Grade Level: 1st Grade, 2nd Grade, 3rd Grade
  • Tags Animals, Seasonal, Place Value, Holiday, Books, Room on the Broom, Julia Donaldson, Axel Scheffler
Series: Focus on the Child June 15, 2015

Solving a Number Story with Child 14

In this one-on-one conversation, an English Language Learner in kindergarten explains his thinking while working through a number story about people getting on and off of the bus.

  • Topic: Number Operations
  • Age/Grade Level: Pre-K, Kindergarten
  • Tags English Language Learner, Correction, Child 14
Series: Focus on the Child June 11, 2015

Estimating Quantity with Child 8

A child estimates the number of cubes in a collection.

  • Topic: Number Operations
  • Age/Grade Level: Pre-K, Kindergarten
  • Tags Estimation, Unifix Cubes, Comparing, Child 8
Series: Focus on the Child June 11, 2015

Changing Quantity with Child 13

A student computes how many objects are in a collection that is hidden from view.

  • Topic: Number Operations
  • Age/Grade Level: Pre-K, Kindergarten
  • Tags Animals, Child 13
Series: Focus on the Child June 11, 2015

Parts & Wholes with Child 29

A kindergarten student determines how many bears are in and out of their cave.

  • Topic: Number Operations
  • Age/Grade Level: Pre-K, Kindergarten
  • Tags Animals, Child 29
Series: About the Collaborative March 26, 2015

Flexible Thinking Useful for Children and Teachers at Innovations Schools

"I was taught algorithms in school," says coach Liz Avila. "There wasn't much thought that went into the math that I did." The Innovations project aims to alter this "plug-and-chug" method of problem solving, through…

  • Topic: Number Operations
  • Age/Grade Level: Pre-K, Kindergarten, 1st Grade, 2nd Grade, 3rd Grade
  • Tags Number Talks
Series: About Early Math March 4, 2015

Blocks: Low-Tech Toys with High Learning Potential

This article from NPR's ongoing education blog discusses the strength of a familiar low-tech toy: the block. Even amid a technological revolution in teaching, which is bringing tablets, apps, and smartboards into more and more…

  • Topic: Number Operations, Spatial Relationships
  • Age/Grade Level: Pre-K, Kindergarten
  • Tags Technology, Play, Blocks
Series: Video from Others February 27, 2015

How to Teach Fractions: A Different Approach

This video from Education Week describes how to teach fractions using a different approach than the current norm.

  • Topic: Number Operations
  • Age/Grade Level: 2nd Grade, 3rd Grade
  • Previous
  • 1
  • 2
  • 3
  • 4
  • 5
  • Next
  • Last ››

Do the math.

 

Free videos.

Free newsletter packed with ideas.

Free professional learning modules.

 


Join the collaborative

  • This field is for validation purposes and should be left unchanged.
  • Facebook
  • Twitter
  • Youtube
  • Staff
  • Jobs
  • Funders
  • Legal Policies

Early Math Collaborative 451 N LaSalle Street, Chicago, IL 60654

© Erikson Institute, All Rights Reserved.

  • Erikson Institute
  • The Early Math Collaborative is part of Erikson Institute, the nation’s premier graduate school in child development.

  • Visit Erikson.edu