Pre-service teachers' understanding of the derivative of a function at a point

 

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Yazarlar: Vargas González, María Fernanda, Fernández Plaza, José Antonio, Ruiz Hidalgo, Juan Francisco
Materyal Türü: artículo original
Yayın Tarihi:2021
Diğer Bilgiler:This article aims to delve into the meaning of school mathematical concepts by their semantic analysis. Concretely, this paper aimed primarily to describe and characterize the meaning of derivative of a function at a point expressed by mathematics pre-service teachers. In order to achieve this goal, we use a semantic framework, in which the meaning is composed of: (a) conceptual structure, (b) representation systems, and (c) sense and usage. This qualitative, descriptive study analysed the replies of 37 pre-service teachers to questions involving the definition, requirements, and structural concept of derivatives. It also explores the sense and usage attributed by participants to this mathematical concept. At least five profiles of meanings for derivatives could be constructed from the results. The most prominent findings included the prevalence of the geometric interpretation of the concept and participants’ failure to mention elements and requisites essential to the definition of derivatives.
Ülke:Kérwá
Kurum:Universidad de Costa Rica
Repositorio:Kérwá
Dil:Inglés
OAI Identifier:oai:kerwa.ucr.ac.cr:10669/91938
Online Erişim:https://www.tandfonline.com/doi/full/10.1080/0020739X.2021.1957504
https://hdl.handle.net/10669/91938
Anahtar Kelime:Teaching analysis
meaning of mathematical content
TEACHER EDUCATION
derivative of a function