Prospective high school mathematics teachers’ didactic-mathematical knowledge about the sampling distribution of the mean

 

Zapisane w:
Opis bibliograficzny
Autorzy: Valenzuela-Ruiz, Silvia M, Batanero, Carmen, Begué, Nuria, Garzón-Guerrero, José A
Format: artículo original
Status:Versión publicada
Data wydania:2023
Opis:[Objective] The aim of this study is to evaluate the didactic-mathematical knowledge of prospective Spanish teachers about the sampling distribution of the mean – specifically, basic knowledge about content, as well as epistemic and cognitive aspects of didactic knowledge. [Methodology] A sample of prospective teachers were asked to solve a problem presented to students in the university’s entrance exams, to identify the concepts, properties and procedures required for its solution, and to describe the foreseeable errors of the students in this process. [Results] The results obtained showed very good levels of common mathematical knowledge, although some errors were observed, such as confusing population distributions with sampling distributions. The participants were reasonably competent in analyzing the mathematical objects (concepts, procedures and properties) required to solve the proposed task, but the level of competence in identifying possible student errors in solving the task was lower. [Conclusions] The study identifies areas for improvement in the training of prospective teachers about the sampling distribution of the mean, which should be well understood when making inferences. Such training should emphasize the difference between the three probability sampling distributions and the difference between statistics and parameters, since prospective teachers do not recognize the possibility of this type of error by their students.
Kraj:Portal de Revistas UNA
Instytucja:Universidad Nacional de Costa Rica
Repositorio:Portal de Revistas UNA
Język:Español
OAI Identifier:oai:ojs.www.una.ac.cr:article/16813
Dostęp online:https://www.revistas.una.ac.cr/index.php/uniciencia/article/view/16813
Access Level:acceso abierto
Słowo kluczowe:distribution of the sample mean
didactic-mathematical knowledge
prospective high-school teachers
evaluation
Distribución de la media muestral
conocimiento didáctico-matemático
profesores de bachillerato en formación
evaluación