UREM-ULB :
Unité de Recherche sur l’Enseignement des Mathématiques

Le professeur Jean-Paul Doignon nous signale le projet Klein lancé par l’International Commission on Mathematical Instruction (ICMI)

Le projet Klein s’inspire du célèbre livre de Felix Klein Mathématiques élémentaires d’un point de vue avancé, publié il y a un siècle. Il a pour objectif de stimuler les professeurs de mathématiques pour faire le lien entre les mathématiques qu’ils enseignent, ou sont susceptibles d’enseigner, et le domaine des mathématiques, tout en tenant compte de l’évolution de ce domaine au cours du siècle dernier.

Le projet comportera trois réalisations :
 un livre publié simultanément en plusieurs langues,
 un DVD destiné aux enseignants désireux de mettre en oeuvre dans leurs classes quelques idées proposées par le projet,
 et un site web wiki destiné aux contributeurs potentiels

The Klein Project

Site web du projet Klein

Wiki du projet Klein

Vignettes du projet Klein

Voici la liste des vignettes proposées à la date du 5 décembre 2011, mais pas encore approuvées :
Submitted Vignettes (Not reviewed at the moment)

 Heron Triangles and Elliptic Curves (Bill McCallum)
 Calculators, Power Series and Chebyshev Polynomials (Graeme Cohen)
 How Google works (Christiane Rousseau)
 Banach fixed point theorem and applications (Christiane Rousseau)
 Kepler’s conjecture on the packing of spheres (Christiane Rousseau)
 Higher Dimensions - pdf (Markus Ruppert & Hans-Georg Weigand)
 Higher Dimensions Wiki-Version - Under construction - Will be ready soon (Markus Ruppert & Hans-Georg Weigand)
 Tandem rigging for rowing eights and fours (Graeme Cohen)
 The concept of dimension (Christiane Rousseau)
 The tidiness of elementary mathematics - A Geogebra Applet (Chris Sangwin)
 Rolle’s theorem : from a simple theorem to an extremely powerful tool (Christiane Rousseau)
 Cholora and Voronoi diagrams - A Geogebra Aplett (Chris Sangwin)
 The shocking behaviour of moving fluids (David Mumford & Christiane Rousseau)

Extrait de la Newsletter de l’IMU : novembre 2011

3. THE KLEIN PROJECT

Started in 2009, the Klein Project is an IMU/ICMI initiative to
provide the means for secondary teachers of senior classes to continue
to engage their interest in mathematics, in particular to enable them
to understand the breath, unity, and evolution of the contemporary
research field. It draws inspiration from Felix Klein’s books 100
years ago "Elementary mathematics from an advanced viewpoint". The
outputs of the Klein Project are to be a book that includes chapters
and mathematical "vignettes", a website that can be kept up to date
(www.kleinproject.org), and other resources.
Klein Project meetings have been held in six different countries so
far, and have successfully used the space between school and
university mathematics as a place where teachers and mathematicians
can engage with each other. So far, except in Brazil, the production
of material for the web has been very limited with eight vignettes
posted on the website. The Brazilian community has been very active on
the project with many vignettes produced, refereed and tested in
workshops bringing together mathematicians, mathematics educators and
teachers. The Brazilian vignettes will soon be posted on the web.
A Klein workshop took place at American Institute of Mathematics on
November 7-11. It was the first non Brazilian workshop really dealing
with the writing and testing vignettes by a mixed group of
mathematicians, mathematics educators and teachers. The workshop was
very successful in allowing the writing of several more vignettes to
be posted soon and starting a North American Klein community. A blog
will be launched in January 2012 (with a link on the present website),
where new vignettes will be posted every week or so and vignettes will
be commented and criticized. The workshop was the occasion to test a
model of "Klein workshop", and the model is to be used by any country
willing to organize such a workshop. For information : Bill Barton,
barton@math.auckland.ac.nz.