This is a quote for David Wills fantastic Dorsality: Thinking Back Through Technology and Politics. He shows us how Heidegger could have gone way deeper in his reflexion on technology, and that being human is, even before any beginning, being technological. And mathematics is, of course, a fundamental part of this.
Antoine de Saint-Exupéry is en endless source of profond ideas. This one can be found at the beginning of Terre des hommes. It is about how tools are not only means to an end, but profoundly affect us, and even reveal us to what we do, and help us in our human becoming. Also see the work of David Wills on this, for example. Here is the original French version, much better than my personal translation of cours! L’homme se découvre quand il se mesure avec l’obstacle. Mais, pour l’atteindre, il lui faut un outil. Il lui faut un rabot, ou une …
In his paper Towards a Pedagogy of Confusion, Steven I. Brown very well shows how confusion is not only inherent to doing (and learning) mathematics: it is essential to it. He strongly critique our habitus of hiding and depreciating confusion, and call for a new way of thinking, and doing.
The summum of the art, in the social sciences, is … to be capable of engaging very high “theoretical stakes” by means of very precise and often apparently very mundane, if not derisory, empirical objects (Bourdieu & Wacquant, 1992, p. 220). Bourdieu, P., & Wacquant, L.J.D (1992). An invitation to reflexive sociology. Chicago: The University of Chicago Press.