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Proportion: Learning Proportional Reasoning Together

  • Jochen Rick
  • Alexander Bejan
  • Christina Roche
  • Armin Weinberger
Part of the Lecture Notes in Computer Science book series (LNCS, volume 7563)

Abstract

Proportional reasoning is a broadly applicable skill that is fundamental to mathematical understanding. While the cognitive development of proportional reasoning is well understood, traditional learning methods are often ineffective. They provide neither real-time feedback nor sophisticated tools to scaffold learning. Learners often cannot connect embodied notions (this glass is half full) to their symbolic representations (\(\frac{1}{2}\)). In this paper, we introduce Proportion—a tablet applications for two co-located learners to work together to solve a series of increasingly difficult ratio / proportion problems. We motivate the work in previous research on proportional reasoning, detail the design and outline the questions this design-based research aims to address.

Keywords

Conceptual Change Word Problem Symbolic Representation Mathematical Understanding Proportional Reasoning 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Jochen Rick
    • 1
  • Alexander Bejan
    • 1
  • Christina Roche
    • 1
  • Armin Weinberger
    • 1
  1. 1.Department of Educational TechnologySaarland UniversityGermany

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