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Erschienen in:
2012 | OriginalPaper | Buchkapitel
Proportion: Learning Proportional Reasoning Together
verfasst von : Jochen Rick, Alexander Bejan, Christina Roche, Armin Weinberger
Erschienen in: 21st Century Learning for 21st Century Skills
Verlag: Springer Berlin Heidelberg
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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.