The concept of mathematical cognitive transgression in exploring learners' cognitive development of nondeterministic thinking

Ewa Lakoma (1)

1 Military University of Technology; Faculty of Cybernetics; Institute of Mathematics and Cryptology

The concept of ‘mathematical cognitive transgression' (MCT) has been introduced by Zbiegniew Semadeni (2015) to investigate mathematics development from phylogenetic as well as ontogentic perspective. The author discusses many examples of the concept of MCT but none of them is directly connected with the development of nondeterministic thinking. Careful analysis of historical development of probabilistic and statistical concepts which led to hypotheses concerning regularities of cognitive development of probabilistic thinking (Lakoma 2000) became a point of departure of my current research in an area of understanding randomness and probability – based on an overview through the lens of the concept of MCT. The aim of this article is to discuss how the concept of MCT can be helpful in recognizing main levels in learners' cognitive development of probabilistic and statistical thinking and to show that it can be useful in constructing an approach to teaching and in arranging an effective process of learning.

Mots clés: mathematical cognitive transgression; nondeterministic thinking

Domaines: Histoire et perspectives sur les mathématiques [math.HO]; Education

Ewa Lakoma. The concept of mathematical cognitive transgression in exploring learners' cognitive development of nondeterministic thinking. History and Pedagogy of Mathematics, Jul 2016, Montpellier, France. ⟨hal-01349221⟩