MATHEMATICAL MODELING IN THE CLASSROOM: THE SPEED OF HIGH-PERFORMANCE ATHLETES IN A 100 METER RACE
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Abstract
In this article we address a modeling-based learning situation using models for position, velocity and acceleration built theoretically, and estimated from real data. In particular, this work extends the theoretical model proposed by Gómez, Marquina and Gómez [2] for Usain Bolt's performance in the 100 m race, which earned him the world record during the 2009 Berlin World Championships. to adapt it to the other runners of that event. More precisely, a nonlinear model is fitted by least squares to the corridor data reported in Graubner and Nixdorf [3]. From these models, a proposal is developed for their implementation and management in a secondary level mathematics class, taking the Borromean modeling cycle [1] as a framework of reference, with the aim of presenting a possible management strategy. for his work in the Mathematics classroom with students aged 15 to 16.
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References
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