A Variational Approach for the Significance of Derivative Criteria in Motion-Modeling Situations
DOI:
https://doi.org/10.35763/aiem27.6157Keywords:
Variational strategies, Modelling–graphing category, Derivative criteria, Undergraduate, CalculusAbstract
In this paper, we present the results of research that aims to signify the criteria of the first and second derivatives through a variational analysis of a motion modeling situation that incorporates technological elements. To construct the evidence, a movement-modeling situation was applied to a group of undergraduate students. The results show that the discussion on the criteria is based on how the motion (position, velocity, and acceleration) of a mobile must reproduce a certain proposed position graph and to reach a dialogue on how to generate the different behaviors (constant, increasing, and decreasing) observed in it and, therefore, of the variational characteristics (represented in the monotony and concavity of the curve). The importance of the variational strategies of comparison and seriation on the significance of the criteria is evident.
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Copyright (c) 2025 José David Zaldívar-Rojas, Luis Cabrera, Amaranta Jiménez
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