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http://dx.doi.org/10.7468/jksmed.2014.18.4.289

Embodied Approach to the Concept of Vector and its Application  

Cho, Han Hyuk (Department of Mathematics Education, Seoul National University)
Noh, Chang Kyun (Department of Mathematics Education, Seoul National University)
Choi, In Yong (Department of Mathematics Education, Seoul National University)
Publication Information
Research in Mathematical Education / v.18, no.4, 2014 , pp. 289-305 More about this Journal
Abstract
The current mathematical education calls for a learning environment from the constructionism perspective that actively creates mathematical objects. This research first analyzes JavaMAL's expression 'move' that enables students to express the agent's behavior constructively before they learn vector as a formal concept. Since expression 'move' is based on a coordinate, it naturally corresponds with the expression of vectors used in school mathematics and lets students take an embodied approach to the concept of vector. Furthermore, as a design tool, expression 'move' can be used in various activities that include vector structure. This research studies the educational significance entailed in JavaMAL's expression 'move'.
Keywords
vector education; embodied expression; representation; covariational reasoning; probabilistic process; JavaMAL;
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