Use number lines to develop student understanding of fractions as numbers.

Understanding that fractions are numbers with magnitudes that can be ordered or considered equivalent is fundamental to grasping operations with fractions. Teachers can develop students’ understanding of fractions as numbers by using number lines to illustrate magnitudes, the relation between whole numbers and fractions, and the relations among fractions, decimals, and percents.

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Learning Together About Number Lines

Math coaches can present this workshop to primary- and intermediate-grade teachers to demonstrate the versatile uses of number lines in explaining fraction concepts. Related Files and...

Tool
Document
03/16/2014
999 views

Teacher-Coach Reflection on Practice: Fractions as Numbers

This self-assessment helps teachers reflect on strategies they can use to improve students’ understanding of fractions as numbers with magnitudes that extend whole numbers. Related Files and...

Tool
Document
03/16/2014
1016 views

Observing Students' Understanding Through Fraction Games

Using this observation tool, teachers can monitor students’ understanding of fraction concepts as they play the several fraction games highlighted throughout this topic. Related Files and...

Tool
Document
03/16/2014
1076 views

Partitive and Measurement Fraction Problems

Dr. Brendefur uses two context problems to distinguish between partitive and measurement fraction problems. These two slides illustrate the differences between the two problems and demonstrate the...

Sample Material
Document
03/16/2014
1022 views

Frank's Fresh Farm Produce

View a problem assigned to elementary school students that required the use of a double number line, and the solutions that groups of students developed. View the students working on the problem in...

Sample Material
Document
03/16/2014
897 views

Fraction Tracks Game

Fifth graders play this game to practice working with equivalent fractions, as seen in Fraction Game on Number Lines. Included are a game board and instructions for the game, including how to...

Sample Material
Document
03/16/2014
1121 views

Fraction Strip Game: Cover Up

A third-grade teacher uses this game to help students understand unit fractions and equivalences. Students work in pairs, following instructions to play two variations of the game. Making and Using...

Sample Material
Document
03/16/2014
2138 views
Multiple Interpretations of Fractions

Multiple Interpretations of Fractions

Professor Jonathan Brendefur describes how he helps teachers understand and teach different interpretations of fractions. He explains the importance of explicitly teaching about various...

School Example
Video
03/16/2014
673 views
Fractions on a Number Line

Fractions on a Number Line

A fourth-grade teacher describes students’ challenges in moving from a part-whole interpretation of fractions to seeing them as numbers. Student pairs work on locating fractions and decimal and...

School Example
Video
03/16/2014
936 views
Making and Using Fraction Strips

Making and Using Fraction Strips

Watch how a third-grade teacher introduces unit fractions through a game that involves “covering up” a unit with fractional parts. Directions for two variations of the game are included in Fraction...

School Example
Video
03/16/2014
1199 views
Using a Number Line to Teach Fractions

Using a Number Line to Teach Fractions

Elementary school teachers demonstrate the use of an open number line with two scales for adding and subtracting fractions and explain why the open number line can be a valuable tool for students...

School Example
Video
03/14/2014
602 views
A Teacher’s Perspective: How to Use the Practice Guide

A Teacher’s Perspective: How to Use the Practice Guide

Laurie Thompson served as a practitioner representative on the IES panel for teaching fractions. In this interview she describes how she first became aware of the importance of using a number line...

Expert Interview
Audio
03/14/2014
558 views
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