Hades - The Invisible Side of Mathematical Thinking

Walther Paravicini, Jörn Schnieder, Ingrid Scharlau


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.
Original languageEnglish
Title of host publicationThe Philosophy of Mathematics Education Today
EditorsPaul Ernest
Number of pages12
Place of PublicationCham
PublisherSpringer International Publishing
Publication date10.06.2018
ISBN (Print)978-3-319-77759-7
ISBN (Electronic)978-3-319-77760-3
Publication statusPublished - 10.06.2018


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