PROBABILISTIC AND STATISTICAL THINKING

Mathematical concepts enable us to structure our thinking, corresponding models help us to structure reality. They supply us with tools to recognize and solve problems. Stochastic models are not mere images of reality that fit more or less. Right from the basics they have more the character of scenarios to explore reality. This circumstance and only indirect feedback about their success impede understanding of concepts and reasonable application of the like models. Accordingly, mis-conceptions are abundant and recipe application is ubiquitous. Stochastic thinking seems to be quite different from other types of thinking like causal thinking, or logical thinking. The educational discussion until the 90’s coined the notion of ‘probabilistic thinking’, from the 80’s the discussion shifted to the notion of ‘numeracy’ and ‘statistical thinking’. By examples and figurative deliberations a multi-faceted image of probabilistic and statistical thinking will be given.