La concepción de derivada de una función en primer curso de universidad
- Matías Camacho Machín 1
- Josefa Perdomo Díaz 1
- Manuel Santos Trigo 2
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1
Universidad de La Laguna
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2
Centro de Investigación y de Estudios Avanzados
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ISSN: 1885-2912
Year of publication: 2010
Issue: 10
Pages: 43-66
Type: Article
More publications in: FPIEM: Formación del Profesorado e Investigación en Educación Matemática
Abstract
The learning of differential equations requires the mastery of some other mathematical concepts such as function, derivative of a function or integral. This paper presents the analysis of a questionnaire on the concept of derivative, used as a tool to establish the level of knowledge of first year students of the Degree in Chemistry from the University of La Laguna. This questionnaire was provided to students before the development of a teaching sequence based on Problem Solving, that had been elaborated to introduce the concept of ordinary differential equation. The analysis is focusing on the different uses of the concept (Thurston, 1994) and on the heuristic element and cognitive strategies that the students use when solving the questionnaire tasks.