Algebraization Levels in the Study of Probability

María Burgos, Carmen Batanero and Juan D. Godino
Additional contact information
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

Mathematics, 2021, vol. 10, issue 1, 1-16

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.

Keywords: probability; formalization; fundamental stochastic ideas; algebraization levels (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/10/1/91/pdf (application/pdf)
https://www.mdpi.com/2227-7390/10/1/91/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:10:y:2021:i:1:p:91-:d:712337

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().