Look at this beautiful video almost 50 years old. Thinking and learning in mathematics!
Mathematics is the raw material, the energy that drives the system. Nowadays we do not burn fossil fuel to produce we burn mathematics
This is a bit of a longer article I found in + Plus Magazine:
Where were your most creative experiences at school? In art class? In music? English? In your maths lesson? That last one might not be the obvious choice for many of us, unless you were lucky enough to have a really inspiring maths teacher. But that is exactly the type of opportunity we are hoping to create for maths students aged 7-16 as part of the project, Developing Mathematical Creativity, with our sister site, NRICH.
One aspect of the project that we are particularly excited about is highlighting the role of creativity in mathematics research. All mathematicians tell us that doing original mathematics is highly creative – but what exactly do they mean by that? We asked some researchers from a range of subjects about the role of creativity in their work.
Working within constraints
We started with David Berman who has a very interesting perspective on creativity. As well as being a theoretical physicist at Queen Mary, University of London, he also has a long standing collaboration with the Turner prize winning artist, Grenville Davey. Deconstructing the artistic idea of creativity, Berman told us that rather than an unbridled release of ideas where anything is possible, beauty comes from creating work withing very tight syntactic constraints. “Think of music: the tight system of key and chord makes music very constrained and yet capable of amazing emotional power,” he said. For example Schoenberg’s* experiments with atonal music, though completely new and boundary breaking, were far from unconstrained. “Maths is like this. There are enormous syntactic constrains but still enough freedom to say something new. The beauty lies in between the constraints of syntax and the freedom of meaning.”
Ramon Llull (Catalan: [rəˈmon ˈʎuʎ]; c. 1232 – c. 1315), T.O.S.F. (AnglicisedRaymond Lully, Raymond Lull; in Latin Raimundus or Raymundus Lullus orLullius) was a Majorcan writer and philosopher, logician and a Franciscan tertiary. He is credited with writing the first major work of Catalan literature. Recently surfaced manuscripts show him to have anticipated by several centuries prominent work on elections theory. He is also considered a pioneer of computation theory, especially given his influence on Gottfried Leibniz.Llull is well known also as a glossator of Roman Law.
“The fact that we have never read an endless book, or counted to infinity (and beyond!) or made contact with an extraterrestrial civilisation (all subjects of essays in the book) should not prevent us from wondering: what if? … Literature adds a further dimension to the exploration of those pure possibilities. As Nemirovsky and Ferrara suggest, there are numerous similarities in the patterns of thinking and creating shared by writers and mathematicians (two vocations often considered incomparable.)”
Daniel Tammet: Thinking in Numbers
From the extraordinary blog: brainpicker and her 13 must read books on science and technology books 2013
With a new book out this month, I’ve started the now familiar round of media interviews that, these days, is part and parcel of being an author. So far, one question that always comes up is for me to give my opinion on the controversial remarks made recently by Harvard president Lawrence Summers about a possible genetic basis for there being fewer women than men in math and science.