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Creative Mathematical Thinking: functions
Transcript of Creative Mathematical Thinking: functions
We got the subject: Functions!
Students’ difficulties with the notion of function are widely reported and well known. Students have trouble in making the link between different representations of functions: formulas, graphs, diagrams, word descriptions of relationships; in interpreting graphs; in manipulating symbols related to functions such as: f(x), x→ y, sin(x+t), etc. The pedagogical question is, of course, how to cope with all these difficulties in class. And in our case, how to deal with the difficulties using softwares.
We measure the student's productions.
Creative mathematical thinking
The foundation of science
The birth of an idea
These guys are big c!
what about little c?
but what about math!?
A combination of theories
Divergent thinking - guilford
creative process - wallas
Henri de Toulouse-Lautrec, Au lit (huile sur carton, 1892, Musée d'Orsay, Paris)
phase pragmatique -> phase empirique ->
Let's have some fun
before going into
boring lecture things!
this is an empty circle (not so empty), just because i wanted it here.
are you not happy?
Deal with it....
La certitude est l'instrument de la démonstration
L'intuition est l'instrument de l'invention