Skip to main content

Integrating history: research perspectives

  • Chapter
History in Mathematics Education

Part of the book series: New ICMI Study Series ((NISS,volume 6))

Abstract

The question of judging the effectiveness of integrating historical resources into mathematics teaching may not be susceptible to the research techniques of the quantitative experimental scientist. It is better handled through qualitative research paradigms such as those developed by anthropologists.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References for 53.2

  • Barbin, E. 1997. ‘Sur les relations entre épistémologie, histoire et didactique des mathématiques’, Repères-IREM, nº 27, avril, 63–80

    Google Scholar 

  • Bühler, M. 1998. ‘Un problème de dés en terminale’, Repères IREM, nº 32, 111–125

    Google Scholar 

  • Eisenhart, M. 1988. ‘The ethnographic research tradition and mathematics education research’, Journal for research in mathematics education, 19 (2), 99–114

    Google Scholar 

  • Farey, J.-M., Métin, F. 1993. ‘Comme un fruit bien défendu’, Repères IREM, nº 13, 35–45

    Google Scholar 

  • Friedelmeyer, J.-P. 1991. ‘Ľindispensable histoire des mathématiques’, Repères IREM, nº 5, 23–34

    Google Scholar 

  • Friedelmeyer, J.-P. 1993. ‘Eclairages historiques pour ľenseignement de I’analyse’, Repères IREM, nº 13, 111–129

    Google Scholar 

  • Kieran, C. 1994. ‘Doing and seeing things differently: a 25-year retrospective of mathematics education research on learning’, Journal for research in mathematics education 25, 583–607

    Google Scholar 

  • LeGoff, J.-P. 1994. ‘Le troisième degré en second cycle: le fil ďEuler’, Repères IREM, nº 17

    Google Scholar 

  • M:ATH 1991, ‘Mathématiques: approche par des textes historiques’, Repères IREM, nº 3, 43–51

    Google Scholar 

  • Métin, F. 1997. ‘Legendre approxime n en classe de seconde?’, Repères IREM, nº 29, 15–26

    Google Scholar 

  • Nouet, M. 1992. ‘Histoire des mathématiques en classe de terminale’, Repères IREM, nº 9, 15–33

    Google Scholar 

  • Rogers, L. 1993. ‘The assessment of mathematics: society, institutions, teachers and students’, Didactics of mathematics, Erasmus ICP-92-G-201 1/11, 603–613

    Google Scholar 

  • Stoll, A. 1993. ‘Comment I’histoire des mathématiques peut nous dévoiler une approche possible de I’intégrale’, Repères IREM, nº 11, 47–62.

    Google Scholar 

References for §3.3

  • Bürger, H., Fischer, R., Malle, G., Kronfellner, M., Mühlgassner, T., Schlöglhofer, F. 1991. Mathematik Oberstufe 3, Wien: Holder-Pichler-Tempsky

    Google Scholar 

  • Fischer, R. 1978. ‘Die Rolle des Exaktifizierens im Analysisunterricht’, Didaktikder Mathematik 6, Heft 3, 212–226

    Google Scholar 

  • Hairer, E., Wanner, G. 1996. Analysis by its history, New York: Springer

    Google Scholar 

  • Kronfellner, M., Peschek, W. 1991, Angewandte Mathematik 3, Wien: Hölder-Pichler-Tempsky

    Google Scholar 

  • Kronfellner, M. 1998. Historische Aspekte im Mathematikunterricht, Wien: Holder-Pichler-Tempsky

    Google Scholar 

  • Toeplitz, 0. 1927. ‘Das Problem der Universitätsvorlesungen über Infinitesimalrechnung und ihre Abgrenzung gegenüber der Infinitesimalrechnung an höheren Schulen’, Jahresberichte DMV 36, 90–100

    Google Scholar 

References for §3.4

  • Freudenthal, H. 1983. Didactical phenomenology of mathematical structures, Dordrecht: Reidel

    Google Scholar 

  • Hacking, I. 1975. The emergence of probability, Cambridge: University Press

    Google Scholar 

  • Lakoma, E. 1990. Local models in probability teaching (in Polish), doctoral thesis, Warsaw University

    Google Scholar 

  • Lakoma, E. 1992. Historical development of probability (in Polish), Warsaw: CODN-SNM

    Google Scholar 

  • Lakoma, E. 1998. ‘On the interactive nature of probability learning’, Proceedings of CIEAEM-49, Setubal, 144–149.

    Google Scholar 

  • Lakoma, E. 1999a. ‘On the historical phenomenology of probabilistic concepts — from the didactical point of view’, in A. Boyé, F. Héaulme and X. Lefort (eds), Contribution à tine approche historique de ľenseignement des mathématiques, Nantes: IREM des Pays de la Loire, 439–448

    Google Scholar 

  • Lakoma, E. 1999b. ‘The diachronic view in research on probability learning and its impact on the practice of stochastics teaching’, CIEAEM-50 Proceedings, Neuchatel, 116–120

    Google Scholar 

  • Lakoma E. 1999c. ‘Del calculo probabilistico al razonamiento estocástico: un punto de vista diacrónico’, in R. M. Guitart (ed), Uno-revista de didactica de las matematicas 22. 55–61

    Google Scholar 

  • Sierpinska, A. 1996. ‘The diachronic dimension in research on understanding in mathematics — usefulness and limitations of the concept of epistemological obstacle’, in Jahnke, H.N., Knoche. N., Otte. M. (eds.), History of mathematics and education: ideas and experiences. Göttingen: Vandenhoeck & Ruprecht, 289–318

    Google Scholar 

References for §3.5

  • Grugnetti, L. 1994. ‘Relations between history and didactics of mathematics’, Proceedings of PME XVIII, Lisbon, 121–124

    Google Scholar 

  • Pepe, L. 1990. ‘Storia e didattica della matematica’, Ľeducazione matematica 3 (1–2), 23–33

    Google Scholar 

References for §3.6

  • Bagni, G.T. 1996–7. Storia della Maternatica, I-II-III, Bologna: Pitagora

    Google Scholar 

  • Barbin, E. 1991. ‘The reading of original texts: how and why to introduce a historical perspective’, For the learning of mathematics 11 (2), 12–13

    Google Scholar 

  • Boyer, C. 1969. ‘The history of the calculus’, in: Hallerberg et al. (ed.), Historical topics for the mathematics clasroom, Reston: NCTM 3 ] st yearbook, 376–402

    Google Scholar 

  • Edwards, C.H. Jr. 1994. The historical development of the calculus, Berlin: Springer

    Google Scholar 

  • Fauvel, J. (ed.) 1990. History in the mathematics classroom: the IREM papers, Leicester: The Mathematical Association

    Google Scholar 

  • Fauvel, J. (ed.) 1991. For the learning of mathematics 11 (2), special issue on history in mathematics education

    Google Scholar 

    Google Scholar 

  • Furinghetti, F. 1993. ‘Insegnare matematica in una prospettiva storica’, Ľeducazione matematica, 3–4, 123–134.

    Google Scholar 

  • Furinghetti, F., Somaglia, A. 1997. ‘Storia della matematica in classe’, Ľeducazione matematica, 18, V

    Google Scholar 

  • Grugnetti, L. 1985. ‘Sulla vecchia ed attuale equazione di Riccati’, Rendiconti del Seminario della Facolt adi Scienze delľ Universita di Cagliari 55 (1), 7–24

    Google Scholar 

  • Grugnetti, L. 1986. ‘Ľequazione di Riccati: un carteggio inedito tra Jacopo Riccati e Nicola II Bernoulli’, Bollettino di Storia delle Scienze Matematiche, 6 (2) 45–82.

    Google Scholar 

  • Grugnetti, L. 1992. ‘Ľhistoire des mathématiques: une expérience interdisciplinaire fondée sur I’histoire des mathématiques’, Plot 60, 17–21

    Google Scholar 

  • Kline, M. 1972. Mathematical thought from ancient to modern times, New York: Oxford University Press, reprint: 1991

    Google Scholar 

  • Leibniz, G.W. 1715, ‘Epist. G.G.L. ad V. claris. Ch. Wolfium’ (Letter by Leibniz to Wolff), Acta Eruditorum Supplementum 5 (1711–1719)

    Google Scholar 

  • Michieli, A.A. 1943. ‘Una famiglia di matematici e di poligrafi trivigiani’, in Riccati, I., Atti del Reale Istituto Veneto di scienze, lettere ed arti, CII, II.

    Google Scholar 

  • Pepe, L. 1990. ‘Storia e didattica della matematica’, Ľeducazione matematica 3 (1–2), 23–33

    Google Scholar 

  • Piaget, J., Garcia, R. 1983. Psychogenèse et histoire des sciences, Paris: Flammarion

    Google Scholar 

  • Riccati, Jacopo 1754/1761, Saggio intorno al sistema delľuniverso, in: Opere, 1, Lucca 1761

    Google Scholar 

  • Sfard, A. 1991, ‘On the dual nature of mathematical conceptions: reflections on processes and objects as different sides of the same coins’, Educational studies in mathematics 22, I-36

    Article  Google Scholar 

References for §3.7

  • Apollonius de Perge 1923. Les coniques; oeuvres traduites pour la premièrefois du grec en français avec une introduction et des notes par Paul Ver Eecke, Bruges: Desclée de Brouwer

    Google Scholar 

  • Apollonius of Perga 1952. Conics, tr. R. Catesby Taliaferro, Chicago

    Google Scholar 

  • Barbin, E. 1991.’ The reading of original texts: how and why to introduce a historical perspective’, For the learning of mathematics 11 (2), 12–13

    Google Scholar 

  • Bottazzini U., Freguglia P., Toti Rigatelli L. 1992. Fonti per la storia della matematica, Firenze: Sansoni

    Google Scholar 

  • Grugnetti, L. 1994. ‘Relations between history and didactics of mathematics, Proceedings of PME XVIII, Lisbon, 121–124

    Google Scholar 

  • Lit C.-K., Siu M.-K. 1998. ‘A research project on the effect of using history of mathematics in the school classroom’, Report for the ICMI Study in Luminy.

    Google Scholar 

  • Mancini Proia, L., Menghini, M. 1984. ‘Conic sections in the sky and on earth’, Educational studies in mathematics 15, 191–210.

    Google Scholar 

  • Menghini, M. 1991. ‘Punti di vista sulle coniche’, Archimede 41, 84–106.

    Google Scholar 

Download references

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2002 Kluwer Academic Publishers

About this chapter

Cite this chapter

Barbin, E., Bagni, G.T., Grugnetti, L., Kronfellner, M., Lakoma, E., Menghini, M. (2002). Integrating history: research perspectives. In: Fauvel, J., Van Maanen, J. (eds) History in Mathematics Education. New ICMI Study Series, vol 6. Springer, Dordrecht. https://doi.org/10.1007/0-306-47220-1_3

Download citation

  • DOI: https://doi.org/10.1007/0-306-47220-1_3

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-0-7923-6399-6

  • Online ISBN: 978-0-306-47220-6

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics