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Dividing Fractions: Reconciling Self-Generated Solutions with Algorithmic Answers

Marcela Perlwitz 

February 2005, Volume 10, Issue 6, Page 278

Abstract:
This article illustrates students' efforts to resolve an apparent discrepancy between their self-generated solutions and the answer obtained using the division algorithm for fractions. The activity described in this article happened in a college classroom, but teachers will learn how to transfer this knowledge and ideology to the middle school classroom to help students explore the division of fractions.

Keywords:
Article
Cross-Content (Math Only) Connections
Teacher Education
Algorithms
Communication
Conceptual Development
Grades 6-8
Open-ended assessments
Teacher
Manipulatives
Modeling
Length
Fractions / Decimals / Percents / Rational Numbers
Problem Solving / Problem Posing
Student Work
Reasoning and Proof
Representation
Multiplication and Division