This paper is from Session 6E: Concepts in teaching probability: learning obstacles and proposals for how to overcome them
which comes under Topic 6: Innovations in teaching probability
Paper 6E1 (Friday 13th, 14:00-15:30)
Fundamental Concepts and their Key Properties in Probability – How to Identify them and Provide Sustaining Intuitions
Presenter
- Manfred Borovcnik (Alpen-Adria Universität Klagenfurt, Austria)
Abstract
Probability is highlighted by theoretical concepts, which are far from being intuitive. The first step is to identify key concepts; the second is to clarify these concepts not only using mathematical tools by illustrating either their value in context or their specific properties. We focus on facets of probability that allow for linking its various interpretations, or that link probability to statistical inference. An essential criterion of teaching is how far it allows learners a more direct access to the concepts on an intuitive level. For designing didactic animations, our principles are characterised by the following ideas: A dynamic change is explored in comparison to the initial situation. Like watching a video, one follows the stages of emergence of a relation between the investigated concepts.