Hades—the invisible side of mathematical thinking
pp. 353-364
in: Paul Ernest (ed), The philosophy of mathematics education today, Berlin, Springer, 2018Abstract
The chapter presents a philosophical approach to teaching and learning mathematics in which five philosophical methods are translated into methods of reading and writing mathematical texts. The philosophical approaches are Hermeneutics, Analytical philosophy, Dialectics, Experience based (phenomenological) and Speculative philosophy. We use the acronym HADES for the combination of these approaches. For each of them we present reading and writing material which can be used for teaching peer tutors and by them in their interaction with students.