학술논문

A New Twist on Fraction Equations
Document Type
Journal Articles
Reports - Descriptive
Source
Mathematics Teacher: Learning and Teaching PK-12. Dec 2022 115(12):859-866.
Subject
Fractions
Mathematics Education
Problem Solving
Equations (Mathematics)
Word Problems (Mathematics)
Elementary School Students
Language
English
ISSN
0025-5769
2330-0582
Abstract
In this article, the authors introduce and illustrate a new activity that involves "follow-up equations," which are equations that follow up on ideas children have already expressed when solving fraction story problems. Specifically, teachers pose story problems and purposely attend to fraction ideas that arise in children's strategies and explanations during problem solving. Teachers then generate one or more equations that capture some of these ideas and invite children to solve and discuss them. Herein, the authors first share an extended, video-based example involving Maddy, a third grader. Beginning with Maddy's initial problem solving, they highlight what the teacher noticed in Maddy's strategy and explanation. Next, they describe the follow-up equations posed, how each was inspired by something the teacher noticed, and the learning opportunities Maddy was afforded. They conclude with suggestions for getting started, including guiding principles and practice videos.

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