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The Linear Imperative: An Inventory and Conceptual Analysis of Students' Overuse of Linearity

Wim Van Dooren Dirk De Bock Dirk Janssens Lieven Verschaffel 

May 2008, Volume 39, Issue 3, Page 311

Abstract:
The overreliance on linear methods in students' reasoning and problem solving has been documented and discussed by several scholars in the field. So far, however, there have been no attempts to assemble the evidence and to analyze it in a systematic way. This article provides an overview and a conceptual analysis of students' tendency to use linear methods beyond their applicability range.

Keywords:
Research Summaries
Pre-K-2
Article
Curriculum Developer
Grades 3-5
Grades 6-8
Conceptual Development
Families
Grades 9-12
Math Coordinator / Coach
Randomness
Teacher
Problems
Problem Solving / Problem Posing
Representation
Theory
Ratios / Proportions