---
_id: '31656'
abstract:
- lang: eng
  text: 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:
- first_name: Walther
  full_name: Paravicini, Walther
  last_name: Paravicini
- first_name: Jörn
  full_name: Schnieder, Jörn
  last_name: Schnieder
- first_name: Ingrid
  full_name: Scharlau, Ingrid
  id: '451'
  last_name: Scharlau
  orcid: 0000-0003-2364-9489
citation:
  ama: 'Paravicini W, Schnieder J, Scharlau I. Hades - The Invisible Side of Mathematical
    Thinking. In: Ernest P, ed. <i>Philosophy of Mathematics Education Today</i>.
    Springer; 2018:353-365. doi:<a href="https://doi.org/10.1007/978-3-319-77760-3_23">10.1007/978-3-319-77760-3_23</a>'
  apa: Paravicini, W., Schnieder, J., &#38; Scharlau, I. (2018). Hades - The Invisible
    Side of Mathematical Thinking. In P. Ernest (Ed.), <i>Philosophy of mathematics
    education today</i> (pp. 353–365). Springer. <a href="https://doi.org/10.1007/978-3-319-77760-3_23">https://doi.org/10.1007/978-3-319-77760-3_23</a>
  bibtex: '@inbook{Paravicini_Schnieder_Scharlau_2018, place={Berlin}, title={Hades
    - The Invisible Side of Mathematical Thinking}, DOI={<a href="https://doi.org/10.1007/978-3-319-77760-3_23">10.1007/978-3-319-77760-3_23</a>},
    booktitle={Philosophy of mathematics education today}, publisher={Springer}, author={Paravicini,
    Walther and Schnieder, Jörn and Scharlau, Ingrid}, editor={Ernest, Paul}, year={2018},
    pages={353–365} }'
  chicago: 'Paravicini, Walther, Jörn Schnieder, and Ingrid Scharlau. “Hades - The
    Invisible Side of Mathematical Thinking.” In <i>Philosophy of Mathematics Education
    Today</i>, edited by Paul Ernest, 353–65. Berlin: Springer, 2018. <a href="https://doi.org/10.1007/978-3-319-77760-3_23">https://doi.org/10.1007/978-3-319-77760-3_23</a>.'
  ieee: 'W. Paravicini, J. Schnieder, and I. Scharlau, “Hades - The Invisible Side
    of Mathematical Thinking,” in <i>Philosophy of mathematics education today</i>,
    P. Ernest, Ed. Berlin: Springer, 2018, pp. 353–365.'
  mla: Paravicini, Walther, et al. “Hades - The Invisible Side of Mathematical Thinking.”
    <i>Philosophy of Mathematics Education Today</i>, edited by Paul Ernest, Springer,
    2018, pp. 353–65, doi:<a href="https://doi.org/10.1007/978-3-319-77760-3_23">10.1007/978-3-319-77760-3_23</a>.
  short: 'W. Paravicini, J. Schnieder, I. Scharlau, in: P. Ernest (Ed.), Philosophy
    of Mathematics Education Today, Springer, Berlin, 2018, pp. 353–365.'
date_created: 2022-06-05T01:28:49Z
date_updated: 2022-06-06T20:36:17Z
department:
- _id: '424'
doi: 10.1007/978-3-319-77760-3_23
editor:
- first_name: Paul
  full_name: Ernest, Paul
  last_name: Ernest
language:
- iso: eng
page: 353 - 365
place: Berlin
publication: Philosophy of mathematics education today
publication_identifier:
  eisbn:
  - '9783319777603'
  isbn:
  - '9783319777597'
publication_status: published
publisher: Springer
status: public
title: Hades - The Invisible Side of Mathematical Thinking
type: book_chapter
user_id: '42165'
year: '2018'
...