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Artículos

Vol. 19 No. 1 (2016): Marzo

KNOWLEDGE LEVEL IN CONDITIONAL PROBABILITY AND INDEPENDENCE OF EVENTS: A STUDY CASE IN THE PORTUGUESE HIGH SCHOOL

DOI
https://doi.org/10.12802/relime.13.1912
Submitted
June 29, 2023
Published
2016-03-31

Abstract

Taking two problem - situations involving conditional probability, independence and incompatibility, we suggest the measurements of the performance and the scientific rigor of a response using, in parallel, two ordinal Likert scale measures. Based on the responses given by 43 students in 12th grade (age 17), a descriptive analysis of these measurements was executed in order to evaluate the levels of knowledge of the students in those concepts. The results showed that not always a correct written response comes with rigor. Besides, an interpretative analysis of the same responses confirmed the existence of conflicts in the teaching of those concepts in Portugal. The conflicts are concerning with the interpretation and the calculation of conditional probabilities and the notions of independence and incompatibility. The present study recommends more practice on the mathematical formulation of statements involving conditional probability and more emphasis on the probabilistic feature of the notion of independence.

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