Stochastics in the interplay between intuitions and mathematics: Stochastik im Wechselspiel von Intuitionen und Mathematik


Book: 
Lehrbuecher und Monographien zur Didaktik der Mathematik
Authors: 
Borovcnik, M.
Type: 
Category: 
Volume: 
10
Year: 
1992
Publisher: 
B.I. Wissenschaftsverlag
Place: 
Mannheim
Abstract: 

From the content: Intuition and mathematics (didactical points of view, networks related to stochastics, intuitions and mathematics as key for understanding, history of ideas and their mathematization); intuitive ideas in classic statistics (interpretation of probability; random choice; expected value; variance); intuitive ideas in the Bayes approach (ratio of chances and degree of confidence, encouragement and thinking in informations, Bayes formula structures thinking, Bayes formula structures applications); intuitive ideas by persons (research framework; symmetry and basic space; relative frequencies and probability; causal relationships and stochastic dependency; statistical assessment; consequences for empirical research and education).

The CAUSE Research Group is supported in part by a member initiative grant from the American Statistical Association’s Section on Statistics and Data Science Education