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Creative Mathematical Thinking: functions

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by

Pedro Lealdino

on 20 November 2017

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Transcript of Creative Mathematical Thinking: functions

Student's Motivation
The Process!
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.
Mathematical Creativity
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!?
Function Hero!
and then?!
HOW?!
A combination of theories
Divergent thinking - guilford
Fluency
Flexibility
elaboration
originality

creative process - wallas
Preparation
incubation
illumination
verification
Préparation
Incubation
Illumination
Traduction
Vérification
Préparation
Incubation
Illumination
Traduction
Vérification
Préparation
Incubation
Illumination
Traduction
Vérification
Divergence
Convergence
Henri de Toulouse-Lautrec, Au lit (huile sur carton, 1892, Musée d'Orsay, Paris)
Publication
réflexion
Motivation
action
formulation
validation
formulation
validation?
phase pragmatique -> phase empirique ->
phase théorique
application

Let's have some fun
before going into
the
boring lecture things!
this is an empty circle (not so empty), just because i wanted it here.

are you not happy?

Deal with it....
Perseverance
Tolerance
La certitude est l'instrument de la démonstration
L'intuition est l'instrument de l'invention
Full transcript