Conditional and joint probabilities in conditional probability problem solving.
DOI:
https://doi.org/10.35763/aiem.v1i11.188Keywords:
Conditional probability, joint probability, conditional probability problems, problem solvingAbstract
In this piece of work we report a research from an educational point of view, whose main objective is to study the relationships between conditional and joint probabilities in the process of solving school problems. We first show how basic conditional probability problems present many difficulties to a broader sample of solvers, from compulsory and non compulsory secondary school (15- 18 years old) to future primary and secondary teachers of mathematics. We point out to the complex relationships
among absolute, joint and conditional probabilities as one of the main causes of problems difficulties, and as a consequence, they depend on task variables of problems such as their mathematical structure, context in which problems are put forward and the wording used to express these probabilities. We also show how some students, while solving problems deal with conditional probabilities, not in a proper sense, but in such a way that depends on the resources or representation systems they use for solving the problem.
Downloads
Published
Issue
Section
License
The articles published in this journal are under a license Creative Commons: By 4.0 España from number 21 (2022).
Authors who publish with this journal agree to the following terms:
- Authors retain copyright and keep the acknowledgement of authorship.
- The texts published in this journal are – unless indicated otherwise – covered by the Creative Commons Attribution 4.0 international licence. You may copy, distribute, transmit and adapt the work, provided you attribute it (authorship, journal name, publisher) in the manner specified by the author(s) or licensor(s). The full text of the licence can be consulted here: http://creativecommons.org/licenses/by-nc/4.0.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).
