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History in Mathematics Education pp 329–370Cite as

Non-standard media and other resources

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

Abstract

The integration of history is not confined to traditional teaching delivery methods, but can often be better achieved through a variety of media which add to the resources available for learner and teacher.

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References for §10.1

  • Carroll, L Grace 1945. ‘A mathematics classroom becomes a laboratory, in: NCTM 1945, 16–29

    Google Scholar 

  • Howson, Geoffrey 1994. ‘Teachers of mathematics’, in C. Gaulin et al., Proceedings of the 7th international congress on mathematical education, Sainte-Foy: Les Presses de I’Université Laval, 9–26

    Google Scholar 

  • Izard, John 1992. ‘Challenges to the improvement of assessment practice’, in: Niss 1992b, 185–194

    Google Scholar 

  • McCamman, Carol V 1945. ‘Curve-stitching in geometry’, in: NCTM 1945, 82–85

    Google Scholar 

  • NCTM 1945. Multi-sensory aids in the teaching of mathematics, NCTM 18th yearbook, New York: Columbia University

    Google Scholar 

  • Niss, Mogens 1992a. Cases of assessment in mathematics education: an ICMI Study, Dordrecht: Kluwer

    Google Scholar 

  • Niss, Mogens 1992b. Investigations into assessment in mathematics education: an ICMl Study, Dordrecht: Kluwer

    Google Scholar 

  • Swan, Malcolm 1992. ‘Improving the design and balance of mathematical assessment’, in: Niss 1992b, 195–216

    Google Scholar 

  • Van Berkel, Klaas 1996. Dijksterhuis Een biografie, Amsterdam: Bert Bakker

    Google Scholar 

  • Veloso, Eduardo 1998. Geometria: temas actuais: materiais para professores, Lisboa: Instituto de Inovação Educacional

    Google Scholar 

References for §10.2.1

  • Boero P., Pedemonte B. and Robotti E. 1997. ‘Approaching theoretical knowledge through voices and echoes: a Vygotskian perspective’, Proceedings of the 21st International Conference on the Psychology of Mathematics Education, Lahti, Finland, ii, 81–88

    Google Scholar 

  • Durán, Antonio José 1996. Historia, con personajes, de los conceptos del cálculo, Madrid: Ed. Alianza Universal, 17–22.

    Google Scholar 

  • Hitchcock, Gavin 1992. ‘The “grand entertainment”: dramatising the birth and development of mathematical concepts’, For the learning of mathematics 12 (1), 21–27

    Google Scholar 

  • Hitchcock, Gavin 1996a. ‘Dramatizing the birth and adventures of mathematical concepts: two dialogues’, in R Calinger (ed), Vita mathematica: historical research and integration with teaching, Washington: MAA 1996, 27–41

    Google Scholar 

  • Hitchcock, Gavin 1996b. ‘A window on the world of mathematics, 1871: reminiscences of De Morgan-dramatic presentation’, in E Veloso (ed), Proc. HEM, Braga ii, 35–42

    Google Scholar 

  • Hitchcock, Gavin 1997. ‘Teaching the negatives, 1870–1970: a medley of models’, For the learning of mathematics 17 (1), 17–25, 42

    Google Scholar 

  • Muñoz Santoja, José, Carmen Castro, Maria Victoria Ponza 1996. ‘Pueden las matemtiticas rimar?’, Suma 22, Zaragoza: Federación Española de Sociedades de Profesores de Matemáticas, junio, 97–102.

    Google Scholar 

  • Panza Doliani, O, Ponzano, P., 1994. El saber, si ocupa lugar, Córdoba: Ciencia Nueva, 13–24

    Google Scholar 

  • Pennington, Eileen & Geoff Faux 1999. “No royal road to geometry”: a ten lesson project in mathematics, history and drama for year 5 or 6, Dalston: Education Initiatives

    Google Scholar 

  • Poincaré, Henri 1914. ‘Mathematical discovery’, in Science and method, (tr. Francis Maitland), London: Nelson; repr. New York: Dover 1952,46–63

    Google Scholar 

  • Ponza, Maria Victoria 1996. ‘La experiencia interdisciplinaria en la realidad educativa de hoy’, Suma 21, Zaragoza: Federación Española de Sociedades de Profesores de Matemtiticas, febrero, 97–101

    Google Scholar 

  • Ponza, Maria Victoria 1998. ‘A role for the history of mathematics in the teaching and learning of mathematics’, Mathematics in school 27 (4), 10–13

    Google Scholar 

  • Ruiz Ruano, Paula & Pérez, Pilar 1996. ‘Hipatia en el pais de las empatias’, Revista Centro de profesores de Linares, Jaen: Consejería de Educación y Ciencia, 9–18.

    Google Scholar 

  • Savater, Fernando 1997. El valor de educar, Barcelona: Ariel SA

    Google Scholar 

References for §0.2.2

  • Albuquerque de L. 1988a. Astronomical navigation, Lisboa: National Board for the Celebration of the Portuguese Discoveries

    Google Scholar 

  • Albuquerque de L. 1988b. Instruments of navigation, Lisboa: National Board for the Celebration of the Portuguese Discoveries

    Google Scholar 

  • Bartolini Bussi M. & Pergola M. 1994. ‘Mathematical machines in the classroom: the history of conic sections’, in Malara & Rico (eds.), Proc. ofthe 1st Italian-Spanish symposium in mathematics education, Modena: Dipartimento di Matematica, 233–240

    Google Scholar 

  • Bartolini Bussi M. & Pergola M. 1996. ‘History in the mathematics classroom: linkages and kinematic geometry’, in Jahnke H. N., Knoche N. & Otte M. (eds.), Geschichte der Mathematik in der Lehre, Goettingen: Vandenhoeck & Ruprecht.

    Google Scholar 

  • Bartolini Bussi M. 1996. ‘Mathematical discussion and perspective drawing in primary school’, Educational studies in mathematics 31, 11–41.

    Article  Google Scholar 

  • Bartolini Bussi M. 1998. ‘Drawing instruments: theories and practices from history to didactics’, Documenta mathematica-extra volume ICM 1998 iii, 735–746.

    Google Scholar 

  • Bartolini Bussi M., Boni M., Ferri F. and Garuti R. 1999a. ‘Early approach to theoretical thinking: gears in primary school’, Educational studies in mathematics 39, 67–87

    Article  Google Scholar 

  • Bartolini Bussi M., Nasi D., Martinez A., Pergola M. Zanoli C. & al. 1999b. Laboratorio di matematica: theatrum machinarum, I CD rom del Museo (1), Modena: Museo Universitario di Storia Naturale e della Strumenntazione Scientifica

    Google Scholar 

  • Bion M. 1758. The construction andprincipal uses of mathematical instruments, (repr. 1972), London: The Holland Press

    Google Scholar 

  • Bos H. J. M. 1981. ‘On the representation of curves in Descartes’ Géométrie’, Archivefor history of exact sciences 24, 295–338.

    Google Scholar 

  • Boyer C. B. 1968. A history of mathematics, John Wiley & Sons.

    Google Scholar 

  • Burns, Stuart 1997. ‘The Babylonian clay tablet’, Mathematics teaching 158, 44–45

    Google Scholar 

  • CIEAEM 1958. Le matériel pour ľenseignement des mathématiques, Neuchatel: Delachaux

    Google Scholar 

  • Cundy H. Martyn & Rollet A. P. 1952. Mathematical models, Oxford: Clarendon Press.

    Google Scholar 

  • Damiani A. M et al. 1998. ‘De I’étude ďun “modèle dynamique” aux définition: un parcours interactif, Proc. CIEAEM 49 (Sethùbal), 377–384.

    Google Scholar 

  • Dennis, David 1995. Historical perspectivesfor the reform of mathematics curriculum: geometric curve drawing devices and their role in the transition to an algebraic description of functions, doctoral thesis, Ithaca: Cornell University

    Google Scholar 

  • Dennis, David & Jere Confrey 1997. ‘Drawing logarithmic curves with Geometer’s sketchpad: a method inspired by historical sources’, in: J.R. King and D. Schattschneider (eds) Geometry turned on! (...), Washington: MAA, 147–156

    Google Scholar 

  • Diderot, Denis & ďAlembert, 1751. ‘Constructeur universel ďequations’, Encyclopedie

    Google Scholar 

  • Dürer, Albrecht 1525/1995. Géométrie (1525), presentation et traduction de J. Pfeiffer, Paris: Seuil (translation of Undenveysung der Messung)

    Google Scholar 

  • Eagle, M Ruth 1995. Exploring mathematics through history, Cambridge: University Press

    Google Scholar 

  • Fauvel John & Gray Jeremy 1987. The history of mathematics: a reader, London: Macmillan

    Google Scholar 

  • Gille B. 1978. Histoire des techniques, Paris: Gallimard

    Google Scholar 

  • Graf, Klaus-Dieter and Hodgson, Bernard R. 1990. ‘Popularizing geometrical concepts: the case of the kaleidoscope’, For the learning of mathematics 10(3), 42–50

    Google Scholar 

  • Kiely, Edmond R 1947. Surveying instruments: their history and classroom use, NCTM 19th yearbook, New York: Columbia University

    Google Scholar 

  • Maanen, Jan van 1991. ‘L’Hopital’s weight problem’, For the learning of mathematics 11 (2), 44–47

    Google Scholar 

  • Maanen, Jan van 1992. ‘Seventeenth century instruments for drawing conic sections’, Mathematical gazette 76(476), 222–230

    Article  Google Scholar 

  • MacKinnon, Nick 1992. ‘Homage to Babylonia’, Mathematical gazette 76(475), 158–178.

    Google Scholar 

  • Metallo F. R. 1990. The abacus: its history and applications, Himap: Module 17

    Google Scholar 

  • Navarra G. 1994. ‘Dalla moltiplicazione a “lgelosia” ai bastoncini di Genaille’, Atti I Internuclei Scuola dell‘Obbligo (Salsomaggiore Terme), 23–28

    Google Scholar 

  • Ransom, Peter 1993. ‘Navigation and surveying: teaching geometry through the use of old instruments’, in, IREM de Montpellier (ed.) Actes de la Ire Univ. d’été Europ., 227–239

    Google Scholar 

  • Robson, Eleanor 1996. ‘From Uruk to Babylon: 4500 years of Mesopotamian mathematics’, in Proc. HEM (Braga) i, 35–44

    Google Scholar 

  • Robson, Eleanor 1998. ‘Counting in cuneiform’, Mathematics in school 27(4), 2–9

    Google Scholar 

  • Rotman, Brian 1987. Signifying nothing: the semiotics of zero, Stanford University Press

    Google Scholar 

  • Smith, David Eugene 1958. History of mathematics ii: special topics of elementary mathematics, New York: Dover

    Google Scholar 

  • Swade, D. 1991. Charles Babbage and his calculating engines, London: Science Museum

    Google Scholar 

  • Swetz, Frank 1994. Learning activitiesfrom the history of mathematics, Portland: Walch

    Google Scholar 

  • Veloso, Eduardo 1992. ‘Portuguese discoveries: a source of interesting activities in the mathematics classroom’, paper presented to Toronto meeting of HPM Study Group.

    Google Scholar 

  • Veloso, Eduardo 1994. ‘Practical uses of mathematics in the past: a historical approach to the learning of mathematics’, Proc. XVIII PME Conference (Lisboa) i, 133–136

    Google Scholar 

  • Yates, Robert 1945a. ‘Linkages’, in Multi-sensory aids in the teaching of mathematics, NCTM 18th Yearbook, New York: Columbia University, 117–129

    Google Scholar 

  • Yates, Robert 1945b. ‘Trisection’, in Multi-sensory aids in the teaching of mathematics, NCTM 18th Yearbook, New York: Columbia University, 146–153

    Google Scholar 

  • Yoshinko, Y. 1963. The Japanese abacus explained, New York: Dover

    Google Scholar 

Web references

References

  • Arzarello F., Micheletti C., Olivero F., Paola D. & Robutti O., to appear. ‘The transition to formal proofs in geometry’, in: Paolo Boero (ed.), Theorems in school: from history and epistemology to cognitive and educational issues, Dordrecht: Kluwer

    Google Scholar 

  • Arzarello, F., Olivero, F., Paola, D. & Robutti, O., in press. I problemi di costruzione geometrica con I’aiuto di Cabri: L’insegnamento della matematica e delle scienze integrate

    Google Scholar 

  • Bartolini Bussi M., Nasi D., Martinez A,, Pergola M. Zanoli C. et al. 1999. Laboratorio di Matematica. Theatrum Machinarum, I CD rom del Museo (1), Modena: Museo Universitario di Storia Naturale e della Strumenntazione Scientifica

    Google Scholar 

  • Dennis, David & Jere Confrey, 1995. ‘Functions of a curve: Leibniz’s original notion of functions and its meaning for the parabola‘, College mathematics journal 26, 124–131

    Article  Google Scholar 

  • Dennis, David, and Jere Confrey, 1997. ‘Drawing logarithmic curves with Geometer’s sketchpad a method inspired by historical sources’, in James R. King and Doris Schattschneider (eds,) Geometry turned on! Dynamic software in learning, teaching and research, MAA, 147–156

    Google Scholar 

  • Descartes René 1628. ‘Rules for the direction of the mind’, in E. Haldane, G Ross (tr), The philosophical works of Descartes, Cambridge, 1–77

    Google Scholar 

  • Descartes, R. 1637/1954., The Geometry of René Descartes, (D. E. Smith & M. L. Latham ed., tr.) Open Court, 1925; reprint New York: Dover Publ. 1954

    Google Scholar 

  • Freudenthal, H. 1973. Mathematics as an educational task, Dordrecht: Reidel.

    Google Scholar 

  • Isoda M. (1997), ‘Connecting mathematics with machine engineering and art: perspectives for calculus and geometry for all via technology’, in W. Yang & Y. Hasan (eds), Proceedings of the 2nd Asian Technology Conference in Mathematics, University of Malaysia, 60–70

    Google Scholar 

  • Isoda M. (1998a), ‘Mathematical inquiry enhanced by harmonized approach via technology’, in H. Park et al, (eds), Proceedings of ICME-EARCOME 3, 267–278

    Google Scholar 

  • Isoda M., 1998b. ‘Developing the curriculum for curves using history and technology’, in W. Yang et al (eds), Proceedings of the Third Asian Technology Conference in Mathematics, Springer, 82–89

    Google Scholar 

  • Isoda M., 1999. Annual report of ‘Algebra, geometry and calculus for all’ project, 6 vols (written in Japanese)

    Google Scholar 

  • Kaput J., 1989.’ Linking representations in the symbol system of algebra’, S. Wanger and C. Kieran (eds), Research issues in the learning and teaching of algebra, Lawrence Erlbaum Associates, 167–194

    Google Scholar 

  • Lesh R., Landau M. & Hamilton E., 1983. ‘Conceptual models and applied mathematical problem-solving research’, in R. Lesh and M. Landau (eds), Acquisition of mathematical concepts and processes, Academic Press, 263–343

    Google Scholar 

  • Leinbach L, et al, 1991. The laboratory approach to teaching calculus, Washington, DC: Mathematical Association of America

    Google Scholar 

  • L’Hôpital, Guillaume Francois Antoine de, 1696. Analyse des infiniment petits, pour l’intelligence des lignes courbes

    Google Scholar 

  • Maanen, Jan van, 1991, ‘L’Hôpital’s weight problem’, For the learning of mathematics 11.2, 44–47

    Google Scholar 

  • Maanen, Jan van, 1992. ‘Seventeenth century instruments for drawing conic sections’, Mathematical gazette 76, 222–230

    Google Scholar 

  • Smith, David Eugene & Yoshio Mikami 1914. A history ofJapanese mathematics, Chicago: Open Court

    Google Scholar 

  • Yerushalmy M. & Schwartz J, 1993. ‘Seizing the opportunity to make algebra mathematically and pedagogically interesting’, in T. Romberg et al (eds), Integrating research on the graphical representation of functions, Lawrence Erlbaum Assoc., 41–68

    Google Scholar 

  • Zimmermann W. and Cunningham S. (eds), 1991. Visualization in teaching and learning mathematics, Washington: Mathematical Association of America

    Google Scholar 

Web reference

References for §10.3.1

References for 10.3.2

  • Barrow-Green, June 1998. ‘History of mathematics: resources on the world wide web’, Mathematics in school 27 (4), 16–22

    Google Scholar 

  • Brummelen, Glen Van 1998. ‘Books, the next generation’, British Society for the History of Mathematics Newsletter 36, 48–50

    Google Scholar 

  • Fauvel, John 1995. ‘History of mathematics on the web’, Mathematics Newsletter 30, 59–62

    Google Scholar 

  • Sharp, John 1998. ‘History observed as it happens: computers and the revival of geometry’, British Society for the History of Mathematics Newsletter 37, 51–53

    Google Scholar 

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Authors
  1. Ryosuke Nagaoka
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  2. June Barrow-Green
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  3. Maria G. Bartolini Bussi
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  4. Masami Isoda
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  5. Jan van Maanen
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  6. Karen Dee Michalowicz
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  7. Maria Victoria Ponza
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  8. Glen Van Brummelen
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Editor information

Editors and Affiliations

  1. The Open University, UK

    John Fauvel

  2. University of Groningen, The Netherlands

    Jan Van Maanen

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© 2002 Kluwer Academic Publishers

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Nagaoka, R. et al. (2002). Non-standard media and other resources. 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_10

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  • DOI: https://doi.org/10.1007/0-306-47220-1_10

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-0-7923-6399-6

  • Online ISBN: 978-0-306-47220-6

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