\input zb-basic
\input zb-matheduc
\iteman{ZMATH 2013a.00986}
\itemau{Rick, Jochen; Bejan, Alexander; Roche, Christina; Weinberger, Armin}
\itemti{Proportion: learning proportional reasoning together.}
\itemso{Ravenscroft, Andrew (ed.) et al., 21st century learning for 21st century skills. 7th European conference of technology enhanced learning, EC-TEL 2012, Saarbr\"ucken, Germany, September 18--21, 2012. Proceedings. Berlin: Springer (ISBN 978-3-642-33262-3/pbk). Lecture Notes in Computer Science 7563, 513-518 (2012).}
\itemab
Summary: 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.
\itemrv{~}
\itemcc{U70 F80 D40}
\itemut{proportional reasoning; ratio; proportion problem; learning methods; learning tools}
\itemli{doi:10.1007/978-3-642-33263-0\_52}
\end