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Algebraization Levels in the Study of Probability

Author

Listed:
  • María Burgos

    (Department of Mathematics Education, University of Granada, 18071 Granada, Spain)

  • Carmen Batanero

    (Department of Mathematics Education, University of Granada, 18071 Granada, Spain)

  • Juan D. Godino

    (Department of Mathematics Education, University of Granada, 18071 Granada, Spain)

Abstract

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.

Suggested Citation

  • María Burgos & Carmen Batanero & Juan D. Godino, 2021. "Algebraization Levels in the Study of Probability," Mathematics, MDPI, vol. 10(1), pages 1-16, December.
    • Handle: RePEc:gam:jmathe:v:10:y:2021:i:1:p:91-:d:712337
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    References listed on IDEAS

    as
    1. Jesús Guadalupe Lugo-Armenta & Luis Roberto Pino-Fan, 2021. "Inferential Reasoning of Secondary School Mathematics Teachers on the Chi-Square Statistic," Mathematics, MDPI, vol. 9(19), pages 1-20, September.
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