Next Article in Journal
Evaluating Auction Mechanisms for the Preservation of Cost-Aware Digital Objects under Constrained Digital Preservation Budgets
Next Article in Special Issue
Combinatorial and Proportional Task: Looking for Intuitive Strategies in Primary Education
Previous Article in Journal
Analytical Solution of Stationary Coupled Thermoelasticity Problem for Inhomogeneous Structures
Previous Article in Special Issue
What Mathematical Knowledge Do Prospective Teachers Reveal When Creating and Solving a Probability Problem?
 
 
Article

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; https://doi.org/10.3390/math10010091
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
Show Figures

Figure 1

MDPI and ACS Style

Burgos, M.; Batanero, C.; Godino, J.D. Algebraization Levels in the Study of Probability. Mathematics 2022, 10, 91. https://doi.org/10.3390/math10010091

AMA Style

Burgos M, Batanero C, Godino JD. Algebraization Levels in the Study of Probability. Mathematics. 2022; 10(1):91. https://doi.org/10.3390/math10010091

Chicago/Turabian Style

Burgos, María, Carmen Batanero, and Juan D. Godino. 2022. "Algebraization Levels in the Study of Probability" Mathematics 10, no. 1: 91. https://doi.org/10.3390/math10010091

Find Other Styles
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map by Country/Region

1
Back to TopTop