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Exploring the mathematics of motion through construction and collaboration

, , and . Journal of Computer Assisted Learning 22 (2): 114-136 (2006)

Abstract

In this paper we give a detailed account of the design principles and construction of activities underlying a model-based approach to learning about the relationships between position, velocity and acceleration, and corresponding kinematics graphs. In these activities, students controlled the movement of objects in a programming environment, recording the motion data and plotting corresponding position-time and velocity-time graphs. They shared their findings on a specially-designed web-based collaboration system, and posted cross-site challenges to which others could react. We present learning episodes that provide evidence of students making discoveries about the relationships between different representations of motion. We conjecture that these discoveries arose from their activity in building models of motion and their participation in classroom and online community.

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