10th International
Conference on
Teaching Statistics
8 – 13 July 2018
Kyoto, Japan
Full topic list
This is a session of Topic 6: Innovations in teaching probability

Session 6E (Friday 13th, 14:00-15:30,   Level 2 - AV Study Room)

Concepts in teaching probability: learning obstacles and proposals for how to overcome them



Probability is a key concept of stochastics and thus, teaching probability is at the core of stochastics education. However, probability is well known as being a difficult mathematical concept. Within a theoretical point there are different approaches to the construct of probability which differ fundamentally concerning their underlying theoretical assumptions. Within a teaching related practical point of view, it is a challenge to connect these approaches, to apply the probability concept in mathematical or empirical problem situations and to handle counterintuitive results which often occur and which lead to learning obstacles. To overcome these difficulties teachers must know about essential characteristics of probability as well as about potential learning obstacles of the students for being able to plan and induce learning activities which aim at the students’ development of what Fischbein calls secondary intuitions of probability. This session focuses on the question of what such implementation of learning activities could look like by especially taking possibilities of multimedia support into account which allows for conducting stochastic animations, simulations or experiments.


PaperTitlePresenter / Co-author(s)
6E1Fundamental Concepts and their Key Properties in Probability – How to Identify them and Provide Sustaining IntuitionsManfred Borovcnik (Austria)
6E2Integrating theoretical and empirical considerations - Young students' understanding of the empirical law of large numbersSusanne Schnell (Germany)
6E3A study on mathematical activity with a focus on linking the theoretical and experimental approaches to probabilityTakuma Takayama (Japan)