Algebraization Levels in the Study of Probability
Metadatos
Afficher la notice complèteEditorial
MDPI
Materia
Probability Formalization Fundamental stochastic ideas Algebraization levels
Date
2021-12-27Referencia bibliográfica
Burgos, M.; Batanero, C.; Godino, J.D. Algebraization Levels in the Study of Probability. Mathematics 2022, 10, 91. [https://doi.org/10.3390/math10010091]
Patrocinador
Junta de Andalucia FQM-126; PID2019-105601GB-I00/AEI/10.13039/501100011033Résumé
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.