Taylor’s Formula, Limited Development, and Development of Power Series: A Study of the Knowledge of University Professors in Training
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Edgardo Locia-Espinoza 1 * , Armando Morales-Carballo 1, Héctor Merino-Cruz 1
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1 Autonomous University of Guerrero, MEXICO* Corresponding Author

Abstract

This paper reports the results of three questionnaires applied to sixty-seven students preparing to become university-level mathematics teachers; the questionnaires were focused on knowing their conceptions and their mastery of the representations of functions in the development of power series. The theoretical and methodological background rests on the Mathematics Teacher’s Specialised Knowledge (MTSK), specifically in the domain: Mathematical Knowledge (MK).
As a result of the analysis of the responses to the questionnaires, it was identified that the notion of development of power series played an important role as a means of justification and that, from the three notions addressed (Taylorʼs Formula, limited development, development of power series), this was the most prevalent in the mind of the students. These results will be used as the starting point for the development of proposals that improve the teaching and learning of the subject of study.

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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Article Type: Research Article

INT ELECT J MATH ED, Volume 15, Issue 3, October 2020, Article No: em0585

https://doi.org/10.29333/iejme/7852

Publication date: 24 Mar 2020

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