Proposal of an epistemological model for teaching Bayesian inference

Abstract The teaching of Bayesian statistics at school is characterized by promoting the meaning of subjective probability as a calculation algorithm. Regarding the limited development of meanings at school, the history of mathematics is a source of data that provides epistemic elements that configure new meanings about mathematical notions. Therefore, to characterize the stochastic activity that underlies Bayesian problems and the context associated with their genesis, a documentary study is proposed through qualitative content analysis from the socio-epistemological perspective. The results show an organization of stochastic practices directed by estimating the ‘true value’ of the unknown parameter, from which an epistemological reference model is built as a proposal to reorient the didactic intervention of Bayesian inference.

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Publication Details

Journal
Bolema Boletim de Educação Matemática
Published
2025-01-01
DOI
https://doi.org/10.1590/1980-4415v39a2302781
Primary Topic
Statistics Education and Methodologies
Type
article
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article

Proposal of an epistemological model for teaching Bayesian inference

Gisela Montiel, Cristian Paredes-Cancino
Bolema Boletim de Educação Matemática
Statistics Education and Methodologies
article

Proposal of an epistemological model for teaching Bayesian inference

Gisela Montiel, Cristian Paredes-Cancino
article en

Abstract

Abstract The teaching of Bayesian statistics at school is characterized by promoting the meaning of subjective probability as a calculation algorithm. Regarding the limited development of meanings at school, the history of mathematics is a source of data that provides epistemic elements that configure new meanings about mathematical notions. Therefore, to characterize the stochastic activity that underlies Bayesian problems and the context associated with their genesis, a documentary study is proposed through qualitative content analysis from the socio-epistemological perspective. The results show an organization of stochastic practices directed by estimating the ‘true value’ of the unknown parameter, from which an epistemological reference model is built as a proposal to reorient the didactic intervention of Bayesian inference.

Bolema Boletim de Educação MatemáticaVol. 39
Instituto de Estudios Avanzados (VE)
Openalex Percentile: Top 93%
Statistics Education and Methodologies
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