Hades - The Invisible Side of Mathematical Thinking

Walther Paravicini; Jörn Schnieder; Ingrid Scharlau

doi:10.1007/978-3-319-77760-3_23

Hades - The Invisible Side of Mathematical Thinking

Walther Paravicini, Jörn Schnieder, Ingrid Scharlau

Institute of Mathematics

Abstract

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 language	English
Title of host publication	The Philosophy of Mathematics Education Today
Editors	Paul Ernest
Number of pages	12
Place of Publication	Cham
Publisher	Springer International Publishing
Publication date	10.06.2018
Pages	353-364
ISBN (Print)	978-3-319-77759-7
ISBN (Electronic)	978-3-319-77760-3
DOIs	https://doi.org/10.1007/978-3-319-77760-3_23
Publication status	Published - 10.06.2018

Access to Document

10.1007/978-3-319-77760-3_23

Cite this

@inbook{e3446e2c449543c58f56312cc96d5cdf,

title = "Hades - The Invisible Side of Mathematical Thinking",

abstract = "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.",

author = "Walther Paravicini and J{\"o}rn Schnieder and Ingrid Scharlau",

year = "2018",

month = jun,

day = "10",

doi = "10.1007/978-3-319-77760-3_23",

language = "English",

isbn = "978-3-319-77759-7",

series = "ICME-13 Monographs",

publisher = "Springer International Publishing",

pages = "353--364",

editor = "Paul Ernest",

booktitle = "The Philosophy of Mathematics Education Today",

}

TY - CHAP

T1 - Hades - The Invisible Side of Mathematical Thinking

AU - Paravicini, Walther

AU - Schnieder, Jörn

AU - Scharlau, Ingrid

PY - 2018/6/10

Y1 - 2018/6/10

N2 - 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.

AB - 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.

UR - https://www.researchgate.net/publication/325659802_Hades-The_Invisible_Side_of_Mathematical_Thinking

U2 - 10.1007/978-3-319-77760-3_23

DO - 10.1007/978-3-319-77760-3_23

M3 - Chapter

SN - 978-3-319-77759-7

T3 - ICME-13 Monographs

SP - 353

EP - 364

BT - The Philosophy of Mathematics Education Today

A2 - Ernest, Paul

PB - Springer International Publishing

CY - Cham

ER -

Hades - The Invisible Side of Mathematical Thinking

Abstract

Access to Document

Other files and links

Fingerprint

Cite this