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Algebraization Levels in the Study of Probability

Department of Mathematics Education, University of Granada, 18071 Granada, Spain
Author to whom correspondence should be addressed.
Academic Editors: Laura Muñiz-Rodríguez and María Magdalena Gea Serrano
Mathematics 2022, 10(1), 91;
Received: 6 December 2021 / Revised: 22 December 2021 / Accepted: 23 December 2021 / Published: 27 December 2021
(This article belongs to the Special Issue Statistics Education: An Immediate Need in a Changing World)
The paper aims to analyze how the different degrees of mathematical formalization can be worked in the study of probability at non-university educational levels. The model of algebraization levels for mathematical practices based on the onto-semiotic approach is applied to identify the different objects and processes involved in the resolution of a selection of probabilistic problems. As a result, we describe the possible progression from arithmetic and proto-algebraic levels of mathematical activity to higher levels of algebraization and formalization in the study of probability. The method of analysis developed can help to establish connections between intuitive/informal and progressively more formal approaches in the study of mathematics. View Full-Text
Keywords: probability; formalization; fundamental stochastic ideas; algebraization levels probability; formalization; fundamental stochastic ideas; algebraization levels
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MDPI and ACS Style

Burgos, M.; Batanero, C.; Godino, J.D. Algebraization Levels in the Study of Probability. Mathematics 2022, 10, 91.

AMA Style

Burgos M, Batanero C, Godino JD. Algebraization Levels in the Study of Probability. Mathematics. 2022; 10(1):91.

Chicago/Turabian Style

Burgos, María, Carmen Batanero, and Juan D. Godino. 2022. "Algebraization Levels in the Study of Probability" Mathematics 10, no. 1: 91.

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