Image Syntax, Proofs And Didactic Applications


Book: 
Proceedings of the sixth international conference on teaching statistics, Developing a statistically literate society
Authors: 
Berrondo-Agrell, M.
Editors: 
Phillips, B.
Category: 
Pages: 
Online
Year: 
2002
Publisher: 
International Statistical Institute
URL: 
http://www.stat.auckland.ac.nz/~iase/publications/1/10_21_be.pdf
Abstract: 

The capacity for abstraction and concentration has changed. Methods of teaching Probability and Statistics must also evolve. Following is a presentation of an organized set of images, analysed using Graphs Theory, specifically adapted by syntax to each type of information. We use these, not as an illustration but as an exhaustive proof. We make this claim after having established the isomorphism between possibilities and elementary surfaces. Probability and statistics are thus unified and simplified. Combinatory Algebra and Mathematical Analysis remain tools. No more theorem will need to be learnt by heart. Fear and mathematical inferiority will be changed into an intellectual comfort. We have been using this teaching method for more than 25 years, in a basic course for non-specialized students, having written the corresponding books. Clinical and statistical tests already show its efficacy.

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