On ways of vectorial thinking through problem solving
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The purpose of this article is to show broadly what is based on the main author's doctoral thesis on the advances in the characterization of Vectorial Thinking through problem solving in engineering students at the Antonio Nariño University. In the activities carried out for this purpose, a set of challenging and non-routine problems was proposed, where five modes of thought that characterize vectorial thinking involved in the students came to light and are reflected in the rubric for its characterization included among the results of the investigation. As a contrast to the theoretical contribution of the doctoral thesis, and as an innovative element of the article, a generalization of the approach based on the DNR theory proposed by Harel (2021) is shown, where its so-called inhibitory and catalyst shortcuts are discussed in relation to some concepts of the course
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