Abstract
This work presents a theoretical proposal for a methodology for the teaching of probability theory. The theoretical proposal has a dual inspiration: (1) the epistemological approach of Lakatos (1978b) regarding the quasi-empirical nature of mathematical theories; (2) the perspective of conceptual change for the teaching-learning process, as formulated by Strike and Posner (1992). The scientific content taught and the didactic methods used in the classroom should, according to this proposal, respect and conform to this dual inspiration.
We also present an evaluation of the methodology in a real context: six Spanish high school classes of students aged 14–15. The main purpose of the research was to answer this question: Is our didactic proposal more effective than traditional methodology? We operatively identify the concept of traditional teaching, and establish several indicators of effectiveness: the mastery of elementary probability calculations, the quality of intuitive reasoning in probability, and the conceptual and attitudinal change produced. We found significant differences on all indicators, except for attitudinal change, in favour of the group that followed our proposal.
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Castro, C.S. Teaching Probability for Conceptual Change La Enseñanza De La Probabilidad Por Cambio Conceptual. Educational Studies in Mathematics 35, 233–254 (1998). https://doi.org/10.1023/A:1003182219483
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DOI: https://doi.org/10.1023/A:1003182219483