- Author:
- Barbara Soots, Washington OSPI Mathematics Department, Washington OSPI OER Project
- Subject:
- Mathematics
- Material Type:
- Teaching/Learning Strategy
- Level:
- Preschool, Lower Primary, Upper Primary, Middle School, High School
- Tags:

- License:
- Creative Commons Attribution
- Language:
- English
- Media Formats:
- Downloadable docs, Text/HTML, Video

# Education Standards

# 1. Number Talk Process and Resource Guide

# 2. Number Talk Planning Guide

# 3. Dot-Cards

# 4. Number Shapes

# MPIR - Number Talks

## Overview

Number Talks are one of many Mathematically Productive Instructional Routines (MPIR). They are short (10ish minutes), daily exercises aimed at building number sense. This is one of six different MPIR covered in the Mathematically Productive Instructional Routines collection from the Washington Office of Public Instruction and the Washington Association of Educational Service Districts.

# Why Number Talks?

**Number Talks **provide students with opportunities to explain their thinking in a safe environment. They offer teachers opportunities to gain insight into student thinking which could include sound understandings, connections, and misconceptions. This approach develops students' flexibility with numbers through the use of number relationships and the structure of numbers, and allows them to use mathematics that is meaningful to them. Number talks help to reduce focus on speed and the "correct" answer and instead emphasizing process and communication.

In this video Ruth Parker and Cathy Humphreys discuss what Number Talks have done for students:

# Mathematical Practices:

The specific task used may expand the Mathematical Practice possibilities, but in general, this routine will encourage students to use:

SMP 1: Make sense of problems and persevere in solving them

SMP 2: Reason abstractly and quantitatively

SMP 3: Construct viable arguments and critique the reasoning of others

SMP 6: Attend to precision

SMP 7: Look for and make use of structure.

SMP 8: Look for and express regularity in repeated reasoning

# What are Number Talks?

A Number Talk is a brief and frequent instructional routine in which students consider and discuss an image or expression. Students strengthen their understanding of number relationships and develop computational reasoning through this routine. Number talks can support the learning of students at any age, and can improve access and engagement for many students.

Number Talks are structured as short sessions, only 5-15 minutes, alongside (but not necessarily related to) the ongoing math curriculum. Number Talks are most effective when done frequently.

# How Do I Implement Number Talks

To start a Number Talk the teacher writes a problem on the board that can be approached with mental math. Students mentally solve the problem, showing the teacher whether they have a solution by quietly giving a thumbs up at their chest. This prevents students who solve it quickly from shutting everyone else down. Students can also hold up additional fingers for multiple strategies allowing students to keep thinking even after they have an answer. Once all or nearly all students have a thumb up the teacher asks students what their solution is. The teacher write down all without giving any indication of right or wrong. After all answers have been shared out ask for volunteers to share out their thinking. Students explain while the teacher scribes. Students listen and ask questions to understand, but do not correct their peers thinking. Ideally, by the end of the discussion the class has 3-6 different approaches.

This **Process and Resource Guide** provides simple steps for planning and implementing number talks across the grades. There are many useful resources to support implementation of Number Talks in the classroom.

The video below features a 3rd grade class from the North Thurston School District doing a number talk.

# Addtional Resources

# Links

# Books

- Making Number Talks Matter, by Cathy Humphreys and Ruth Parker
- Digging Deeper: Making Number Talks Matter Even More, by Ruth Parker and Cathy Humphreys
- Number Talks: Whole Number Computation, Grades K-5, by Sherry Parrish
- Number Talks: Fractions, Decimals, and Percentages, by Sherry Parrish

# Other Resources

- Dot Cards (attached below)
- Number Shapes (attached below)

# Mathematically Productive Instructional Routine Menu

**Number Talks** are one of many **Mathematically Productive Instructional Routines **(MPIR). Click on one of the images below to see other examples:

# Attribution and License

# Attribution

- Clothesline photo by Erik-Jan Leusink on Unsplash
- Shapes image by OSPI
- Children and teacher photos by Allison Shelley for American Education: Images of Teachers and Students in Action | CC BY NC

# License

Except where otherwise noted, this work by the Washington Office of Superintendent of Public Instruction is available under a Creative Commons Attribution license. All logos and trademarks are property of their respective owners.

*This resource may contain links to websites operated by third parties. These links are provided for your convenience only and do not constitute or imply any endorsement or monitoring by OSPI.*