Three past mathematicians’ views on history in mathematics teaching and learning: Poincaré, Klein, and Freudenthal

Autor: Hans-Niels Jahnke, Uffe Thomas Jankvist, Tinne Hoff Kjeldsen

Publikováno v: Jahnke, H-N, Jankvist, U T & Kjeldsen, T H 2022, ' Three past mathematicians’ views on history in mathematics teaching and learning : Poincaré, Klein, and Freudenthal ', Z D M, vol. 54, pp. 1421-1433 . https://doi.org/10.1007/s11858-022-01376-0
Jahnke, H-N, Jankvist, U T & Kjeldsen, T H 2022, ' Three past mathematicians’ views on history in mathematics teaching and learning : Poincaré, Klein, and Freudenthal ', ZDM, vol. 54, no. 7, pp. 1421-1433 . https://doi.org/10.1007/s11858-022-01376-0

In the HPM (History and Pedagogy of Mathematics) literature, the three mathematicians Henri Poincaré (1854–1912), Felix Klein (1849–1925), and Hans Freudenthal (1905–1990) are often mentioned in relation to having opinions about the role of th

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d1237e1864762c08716fff7d6a64391e
https://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&origin=inward&scp=85131585637

Mathematics and Bildung 1810 to 1850

Autor: Hans Niels Jahnke

Publikováno v: ICME-13 Monographs ISBN: 9783030110680

Section 5.1 of this chapter is written by Hans Niels Jahnke on the basis of his presentation at ICME 13. Michael Fried was invited to react to this presentation at ICME 13 and elaborated his reaction as Sect. 5.2 of this chapter. Although the authors

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::7b3eafdcc189bcadbbe54daea54032fe
https://doi.org/10.1007/978-3-030-11069-7_5

Die Algebraische Analysis in Felix Kleins 'Elementarmathematik vom höheren Standpunkte aus'

Autor: Hans Niels Jahnke

Im Analysis-Kapitel des ersten Bandes von Felix Kleins „Elementarmathematik“ tritt an verschiedenen Stellen der Begriff „Algebraische Analysis“ auf. Klein und seine Zeitgenossen bezeichneten mit diesem Begriff einen bestimmten Typus einfuhren

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8e4596a7c43679109ca27c466d2185b8
https://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&origin=inward&scp=85035780963

German-Speaking Traditions in Mathematics Education Research

Autor: Hans Niels Jahnke, Andreas Obersteiner, Angelika Bikner-Ahsbahs, Marcus Nührenbörger, Lisa Hefendehl-Hebeker, Katrin Vorhölter, Bettina Rösken-Winter, Rolf Biehler, Gilbert Greefrath, Rudolf vom Hofe, Andreas Schulz, Götz Krummheuer, Kristina Reiss, Andreas Vohns, Timo Leuders, Uwe Gellert

Publikováno v: Proceedings of the 13th International Congress on Mathematical Education ISBN: 9783319625966

This paper describes and analyzes developments that have taken place in German mathematics education research during the last 40 years. Which developments and ideas were characteristic for the discussion and how was Germany influenced by and how did

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::8871eb1464023f6e7dc218ddb799501e
https://doi.org/10.1007/978-3-319-62597-3_20

Theorems that admit exceptions, including a remark on Toulmin

Autor: Hans Niels Jahnke

Publikováno v: ZDM. 40:363-371

It is a plausible assumption that proof-novices try to make sense of the meaning of mathematical proof out of the perspective of every day thinking. In every day thinking, however, the domain of objects to which a gen- eral statement refers is not co

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::13fd65e06c112d98a06e2338d91c72b4
https://doi.org/10.1007/s11858-008-0097-9