Algebraization Levels in the Study of Probability
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ProbabilityFormalizationFundamental stochastic ideasAlgebraization levels
Burgos, M.; Batanero, C.; Godino, J.D. Algebraization Levels in the Study of Probability. Mathematics 2022, 10, 91. [https://doi.org/10.3390/math10010091]
SponsorshipJunta de Andalucia FQM-126; PID2019-105601GB-I00/AEI/10.13039/501100011033
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.