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Revista latinoamericana de investigación en matemática educativa

On-line version ISSN 2007-6819Print version ISSN 1665-2436

Abstract

ALMEIDA, Cesário; CASAS GARCIA, Luis  and  LUENGO GONZALEZ, Ricardo. Study of the cognitive structure of portuguese students in years 9 (14-15 Year-olds) and 12 (17-18 year-olds) concerning the notion of probability: a contribution of theories of nuclear concepts and threshold concepts. Relime [online]. 2017, vol.20, n.1, pp.9-38. ISSN 2007-6819.  https://doi.org/10.12802/relime.17.2011.

Based on the Theories of Nuclear Concepts and Threshold Concepts, this paper aims at presenting the results of the cognitive structure of Portuguese students in years 9 (14-15 year-olds) and 12 (17-18 year-olds), concerning the notion of Probability. After having been taught the subject, 344 students were inquired in a first moment, and 325 in a second one. The Pathfinder Associative Networks (PFNETs) thus obtained led to identify the most relevant concepts in the students’ conceptual framework, their respective organization and the possible relationship between the Theories of Nuclear Concepts and Threshold Concepts. The results show that both theories are useful tools to organize the teaching practice and a valuable and effective pedagogical framework, which should be taken into account in the teaching and learning processes of Probability.

Keywords : Probability; Theory of Nuclear Concepts; Threshold Concepts; Knowledge Representation; Pathfinder Associative Networks.

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