Partial meanings of the derivative in university textbooks in engineering education
- Víctor Larios
, - Angélica Rosario Jiménez Sánchez, Dra.
Abstract
The relevance of calculus in engineering education has raised interest in the study of its learning and in the construction of meanings associated with the objects that compose it. The meanings that circulate in the classrooms are influenced by resources and reference materials that teachers use, such as textbooks. Therefore, it is relevant to identify which meanings are promoted in those materials. This article presents an analysis of the meanings that some books promote on the concept of derivative in engineering education, based on the ontosemiotic approach to mathematical knowledge. The observations were contrasted with the partial meanings that the derivative has had throughout history. It was noted that the partial meaning is privileged, which corresponds to the last stage of its historical evolution, with which it is intended to achieve a generalization in its study, but which moves away from an intuitive approach that could be useful for the students’ learning.
Keywords
Engineering education, Mathematics education, Calculus, Textbooks
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