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.
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Rick, J., Bejan, A., Roche, C., Weinberger, A. (2012). Proportion: Learning Proportional Reasoning Together. In: Ravenscroft, A., Lindstaedt, S., Kloos, C.D., Hernández-Leo, D. (eds) 21st Century Learning for 21st Century Skills. EC-TEL 2012. Lecture Notes in Computer Science, vol 7563. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-33263-0_52
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DOI: https://doi.org/10.1007/978-3-642-33263-0_52
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-33262-3
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