Use of research papers in the construction of proofs in differential equations

Authors

DOI:

https://doi.org/10.21640/ns.v15i30.3080

Keywords:

mathematical proficiency, students, higher education, modelling, problem solving, learning resources, study, sciences, reasoning

Abstract

The research goal was to analyze how the use of research papers can be a pedagogical strategy of active learning based on inquiry that helps mathematics students in the construction of proofs. The study was carried out under a qualitative methodological paradigm with an interpretive approach. The data were collected during a mathematical modeling course in a mathematician training program at a public university in southeastern Mexico. Nine students participated in this study and the course teacher. The data were analyzed based on the codification of the students' reasoning and strategies in their proof construction process in relation to the five components that structure a mathematical proficiency and the cycle of the four experiential learning modes. The use of research papers played an essential role in adaptive reasoning, the generation of arguments and the integration of students’ knowledge when constructing their mathematical proofs on the positivity of a system of differential equations solutions and even helped to overcome such difficulties like understanding some theorems involved in proofs.

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Published

2023-06-01

How to Cite

Landa, E. A., Ávila Vales, E. J., Sosa Moguel, L., & García Almeida, G. (2023). Use of research papers in the construction of proofs in differential equations . Nova Scientia, 15(30), 1–13. https://doi.org/10.21640/ns.v15i30.3080

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Human and Social Sciences

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