- l’algèbre à travers les équations
- Don't Lecture Me | American RadioWorks
- Physicists Seek To Lose The Lecture As Teaching Tool : NPR
Lecturing has never been an effective teaching technique and now that information is everywhere, some say it's a waste of time. Indeed, physicists have the data to prove it.
- A Mathematician’s Lament
I don’t see how it’s doing society any
good to have its members walking around with vague memories of
algebraic formulas and geometric diagrams, and clear memories of
hating them. It might do some good, though, to show them
something beautiful and give them an opportunity to enjoy being
creative, flexible, open-minded
You don’t need to make math interesting— it’s already more
interesting than we can handle! And the glory of it is its complete irrelevance to our lives.
Mathematics is the music of reason.
We learn things because
they interest us now, not because they might be useful later.
How many students taking literature classes will one day be writers?
That is not why we teach literature, nor why students take it. We
teach to enlighten everyone, not to train only the future professionals.
In any case, the most valuable skill for a scientist or engineer is being
able to think creatively and independently. The last thing anyone
needs is to be trained.
- IREM de Paris Nord (Institut de Recherche en Enseignement des Mathématiques)
- Symmetric matrices related to the Mertens function
In this paper we explore a family of congruences over N* from which a sequence of symmetric matrices related to the Mertens function is built. From the results of numerical experiments we formulate a conjecture, about the growth of the quadratic norm of these matrices, which implies the Riemann hypothesis. This suggests that matrix analysis methods may play a more important role in this classical and difficult problem.
- On two iterative methods for approximating the roots of a polynomial
- Une suite de matrices symétriques en rapport avec la fonction de Mertens
In this paper we explore a class of equivalence relations over N* from which is constructed a sequence of symetric matrices related to the Mertens function. From numerical experimentations we suggest a conjecture, about the growth of the quadratic norm of these matrices, which implies the Riemann hypothesis. This suggests that matrix analysis methods may play a more important part in this classical and difficult problem.
- La Librairie des Maths
- OFSET Wiki
OFSET is a community of volunteers willing to develop and to enhance free software for education.
- Edgar Morin : Les sept savoirs nécessaires à l’éducation du futur