Hades - The Invisible Side of Mathematical Thinking
W. Paravicini, J. Schnieder, I. Scharlau, in: P. Ernest (Ed.), Philosophy of Mathematics Education Today, Springer, Berlin, 2018, pp. 353–365.
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Book Chapter
| Published
| English
Author
Paravicini, Walther;
Schnieder, Jörn;
Scharlau, IngridLibreCat 
Book Editor
Ernest, Paul
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.
Publishing Year
Book Title
Philosophy of mathematics education today
Page
353 - 365
ISBN
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Cite this
Paravicini W, Schnieder J, Scharlau I. Hades - The Invisible Side of Mathematical Thinking. In: Ernest P, ed. Philosophy of Mathematics Education Today. Springer; 2018:353-365. doi:10.1007/978-3-319-77760-3_23
Paravicini, W., Schnieder, J., & Scharlau, I. (2018). Hades - The Invisible Side of Mathematical Thinking. In P. Ernest (Ed.), Philosophy of mathematics education today (pp. 353–365). Springer. https://doi.org/10.1007/978-3-319-77760-3_23
@inbook{Paravicini_Schnieder_Scharlau_2018, place={Berlin}, title={Hades - The Invisible Side of Mathematical Thinking}, DOI={10.1007/978-3-319-77760-3_23}, 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} }
Paravicini, Walther, Jörn Schnieder, and Ingrid Scharlau. “Hades - The Invisible Side of Mathematical Thinking.” In Philosophy of Mathematics Education Today, edited by Paul Ernest, 353–65. Berlin: Springer, 2018. https://doi.org/10.1007/978-3-319-77760-3_23.
W. Paravicini, J. Schnieder, and I. Scharlau, “Hades - The Invisible Side of Mathematical Thinking,” in Philosophy of mathematics education today, P. Ernest, Ed. Berlin: Springer, 2018, pp. 353–365.
Paravicini, Walther, et al. “Hades - The Invisible Side of Mathematical Thinking.” Philosophy of Mathematics Education Today, edited by Paul Ernest, Springer, 2018, pp. 353–65, doi:10.1007/978-3-319-77760-3_23.
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