publication . Conference object . 2016

Playing with infinity of Rózsa Péter. Problem series in a Hungarian tradition of mathematics education.

Gosztonyi, Katalin;
Open Access French
  • Published: 18 Jul 2016
  • Publisher: HAL CCSD
Abstract
International audience; <p>In this paper I present a workshop dedicated to in-service teachers about a special “Hungarian tradition” of mathematics education, focusing on Rózsa Péter's <i>Playing with infinity</i>, a book popularising mathematics (Péter 1944/1961). The workshop in question is part of a three-days teacher training we offer every year since 2012 to secondary teachers of the Parisian region; the teacher training itself is related to an interdisciplinary research project in history of sciences and to a working group for teachers.</p> <p>First I will present this complex project which offers the context of my workshop. I will detail the construction ...
Subjects
free text keywords: [MATH.MATH-HO]Mathematics [math]/History and Overview [math.HO], series of problems, teacher education, Hungarian mathematics education, [SHS.EDU]Humanities and Social Sciences/Education

Bernard, A. (Ed.) (2015). Les séries de problèmes, un genre au carrefour des cultures. EDP-Sciences, SHS web of Conferences, 22. Retrieved June 20 2016 from http://www.shs-conferences.org/articles/shsconf/abs/2015/09/contents/contents.html

Bernard, A., & Gosztonyi, K. (2015). Series of problems, at the crossroad of research, pedagogy and teacher training. In E. Barbin, U. T. Jankvist, & T. H. Kjeldsen (Eds.), History and epistemology of mathematics education. Proceedings of the seventh European Summer University ESU 7 (pp. 141-152). Aarhus : Aarhus University. Retrieved June 20 2016 from http://conferences.au.dk/ESU-7/.

Fauvel, J., & van Maanen, J. (Eds.) (2002). History in Mathematics Education: An ICMI Study. Dordrecth : Kluwer.

Gosztonyi, K. (2015a). Traditions et réformes de l'enseignement des mathématiques à l'époque des « mathématiques modernes »: Le cas de la Hongrie et de la France. PhD thesis. University of Szeged and University Paris Diderot. [OpenAIRE]

Gosztonyi, K. (2015b). Séries de problèmes dans une tradition d'enseignement des mathématiques en Hongrie au 20e siècle. In A. Bernard (2015). Retrieved June 20 2016 from http://dx.doi.org/10.1051/shsconf/20152200013. [OpenAIRE]

Gurka, D. (2001). Kalmár László szerepe Lakatos Imre matematikafilozófiájának alakulásában. In G. Palló (Ed.), Recepció és kreativitás. Retrieved June 20 2016 from http://www.phil-inst.hu/recepcio/htm/3/310_belso.htm.

Császár, Á. (2005). Education and research in mathematics. In Horváth, J. (Ed.), A Panorama of Hungarian Mathematics in the Twentieth Century. Bolyai Society Mathematical Studies 14 (pp. 555-562). Budapest Berlin [etc.], János Bolyai Mathematical Society: Springer-Verlag.

Frank, T. (2012). Teaching and learning science in Hungary, 1867-1945: Schools, personalities, influences. Science & Education, 21(3), 355-380.

Hersch, R., & John-Steiner, V. (1993). A visit to Hungarian mathematics. The Mathematical Intelligencer, 15(2), 13-26.

Máté, A. (2006). Árpád Szabó and Imre Lakatos, Or the relation between history and philosophy of mathematics. Perspectives on Science, 14(3), 282-301.

Péter, R. (1961). Playing with infinity (trad. by Z. P. Dienes). New York: Dover Publications. (Originally published in 1944 as Játék a végtelennel. Budapest: Dante Könyvkiadó.)

Abstract
International audience; <p>In this paper I present a workshop dedicated to in-service teachers about a special “Hungarian tradition” of mathematics education, focusing on Rózsa Péter's <i>Playing with infinity</i>, a book popularising mathematics (Péter 1944/1961). The workshop in question is part of a three-days teacher training we offer every year since 2012 to secondary teachers of the Parisian region; the teacher training itself is related to an interdisciplinary research project in history of sciences and to a working group for teachers.</p> <p>First I will present this complex project which offers the context of my workshop. I will detail the construction ...
Subjects
free text keywords: [MATH.MATH-HO]Mathematics [math]/History and Overview [math.HO], series of problems, teacher education, Hungarian mathematics education, [SHS.EDU]Humanities and Social Sciences/Education

Bernard, A. (Ed.) (2015). Les séries de problèmes, un genre au carrefour des cultures. EDP-Sciences, SHS web of Conferences, 22. Retrieved June 20 2016 from http://www.shs-conferences.org/articles/shsconf/abs/2015/09/contents/contents.html

Bernard, A., & Gosztonyi, K. (2015). Series of problems, at the crossroad of research, pedagogy and teacher training. In E. Barbin, U. T. Jankvist, & T. H. Kjeldsen (Eds.), History and epistemology of mathematics education. Proceedings of the seventh European Summer University ESU 7 (pp. 141-152). Aarhus : Aarhus University. Retrieved June 20 2016 from http://conferences.au.dk/ESU-7/.

Fauvel, J., & van Maanen, J. (Eds.) (2002). History in Mathematics Education: An ICMI Study. Dordrecth : Kluwer.

Gosztonyi, K. (2015a). Traditions et réformes de l'enseignement des mathématiques à l'époque des « mathématiques modernes »: Le cas de la Hongrie et de la France. PhD thesis. University of Szeged and University Paris Diderot. [OpenAIRE]

Gosztonyi, K. (2015b). Séries de problèmes dans une tradition d'enseignement des mathématiques en Hongrie au 20e siècle. In A. Bernard (2015). Retrieved June 20 2016 from http://dx.doi.org/10.1051/shsconf/20152200013. [OpenAIRE]

Gurka, D. (2001). Kalmár László szerepe Lakatos Imre matematikafilozófiájának alakulásában. In G. Palló (Ed.), Recepció és kreativitás. Retrieved June 20 2016 from http://www.phil-inst.hu/recepcio/htm/3/310_belso.htm.

Császár, Á. (2005). Education and research in mathematics. In Horváth, J. (Ed.), A Panorama of Hungarian Mathematics in the Twentieth Century. Bolyai Society Mathematical Studies 14 (pp. 555-562). Budapest Berlin [etc.], János Bolyai Mathematical Society: Springer-Verlag.

Frank, T. (2012). Teaching and learning science in Hungary, 1867-1945: Schools, personalities, influences. Science & Education, 21(3), 355-380.

Hersch, R., & John-Steiner, V. (1993). A visit to Hungarian mathematics. The Mathematical Intelligencer, 15(2), 13-26.

Máté, A. (2006). Árpád Szabó and Imre Lakatos, Or the relation between history and philosophy of mathematics. Perspectives on Science, 14(3), 282-301.

Péter, R. (1961). Playing with infinity (trad. by Z. P. Dienes). New York: Dover Publications. (Originally published in 1944 as Játék a végtelennel. Budapest: Dante Könyvkiadó.)

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publication . Conference object . 2016

Playing with infinity of Rózsa Péter. Problem series in a Hungarian tradition of mathematics education.

Gosztonyi, Katalin;