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`A historical angle’, a survey of recent literature on the use and value of history in geometrical education

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Abstract

In this article we give a survey of recent literature on the use and value of the history of geometry in mathematics education. It turns out that many authors have contributed to the debate why we should apply history. Their arguments can be divided into conceptual, (multi-) cultural and motivational ones. The number of authors who concentrated on the methodological question “How could we introduce history into mathematics lessons?” is considerably smaller. Those who want to make history an integral part of mathematics education have to bridge the gap between theoretical arguments and practical ideas, and, connected with this,between historians and teachers, and ultimately between mathematicians from the past and present day students. We divided the various surveyed publications, mainly journal articles, into categories according to a framework in order to clarify the discussion on the role of the history of geometry in education. Details about content and purpose of the articles are presented in two appendices, which make the articles more accessible both for further research and for practical teacher purposes.

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REFERENCES

  • Adele, G.H.: 1989, ‘When did Euclid live? An answer plus a short history of geometry’, Mathematics Teacher 82(6), 460–463.

    Google Scholar 

  • Anonymous:1996, ‘Pythagoreische Tripel’, Mathematik Lehren 74, 22–46.

  • Arcavi, A.: 1987, ‘Using historical materials in the mathematics classroom’, Arithmetic Teacher 35(4), 13–16.

    Google Scholar 

  • Arcavi, A.: 1991, ‘Two benefits of using history’, For the Learning of Mathematics 11(2), 11.

    Google Scholar 

  • Arsac, G.: 1987, ‘L'origine de la démonstration: essai d'épistémologie didactique’, Recherches en Didactique des Mathématiques 8(3), 267–309.

    Google Scholar 

  • Artmann, B. and Seeger, V: 1982, ‘Geschichte, Geometrie und Irrationalzahlen. Drei Stunden in der Klasse 9’, Der Mathematik Unterricht 28(4), 20–29.

    Google Scholar 

  • Artmann, B.: 1991, ‘Quadratische Probleme in Euklids ‘Elementen’ und ihre Behandlung im Mathematikunterricht’, Didaktik der Mathematik 19(2), 94–110.

    Google Scholar 

  • Baptist, P. and Diener, V.: 1988, ‘Historische Aufgaben im Mathematikunterricht’, Die Realschule 96(6), 231–234.

    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 

  • Barbin, E.: 1994, ‘Het belang van de geschiedenis van de wiskunde voor de wiskundige vorming’ (translation: Michel), Uitwiskeling 10, 1–7.

    Google Scholar 

  • Barbin, E.: 1996, ‘The role of problems in the history and teaching of mathematics’, in R. Calinger (ed.), Vita Mathematica: Historical Research and Integration with Teaching, MAA, Washington, pp. 17–25.

    Google Scholar 

  • Barbin, E.: 1997, ‘Sur les relations entre épistémologie, histoire et didactique’, Repè res IREM 27, 63–80.

    Google Scholar 

  • Barnes, S. and Michalowicz, K.D.: 1995, ‘Now and then’, Mathematics Teaching in the Middle School 1(5), 396–403.

    Google Scholar 

  • Barta, J.: 1995, ‘Ethnomathematics’, Mathematics in School 24(2), 12–13.

    Google Scholar 

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

    Google Scholar 

  • Bartolini Bussi, M.G. and Mariotti, M.A.: 1999, ‘Semiotic mediation: from history to the mathematics classroom’, For the Learning of Mathematics 19(2), 27–35.

    Google Scholar 

  • Beckers, D.J.: 1998a, ‘A.C. Clairaut (1713- 1765) en de geschiedenis van de wiskunde’, Euclides 73(4), 111–116.

  • Beckers, D.J.: 1998b, ‘Wisconstighe Vermaecklyckheden II, recreatieve wiskunde in Nederland in de 18e eeuw: Guyot en zijn machines’, Euclides 74(3), 76–80.

    Google Scholar 

  • Bero, P.: 1993, ‘Calculations in the style of Kepler’, For the Learning of Mathematics 13(3), 27–30.

    Google Scholar 

  • Berté, A.: 1995, ‘Différents ordres de présentation des premiè res notions de géométrie métrique dans l'enseignement secondaire’, Recherches en Didactique des Mathématiques 15(3), 83–130.

    Google Scholar 

  • Bidwell, J.K.: 1993, ‘Humanize your classroom with the history of mathematics’, Mathematics Teacher 86(6), 461–464.

    Google Scholar 

  • Bissell, C.C.: 1987, ‘Cartesian geometry: the Dutch contribution’, The Mathematical Intelligencer 9(4), 38–44.

    Article  Google Scholar 

  • Bkouche, R.: 1990, ‘Enseigner la géométrie, pourquoi ?’, Repè res IREM 1, 92–102.

    Google Scholar 

  • Bkouche, R.: 1997, ‘Epistémologie, histoire et enseignement des mathématiques’, For the Learning of Mathematics 17(1), 34–42.

    Google Scholar 

  • Bos, H.J.M.: 1990, ‘Wiskunde en maatschappij - een discussie in de leraarskamer, met historische episodes’, Euclides 66, 255–267.

    Google Scholar 

  • Bradley, A.D.: 1972, ‘The three-point problem’, Mathematics Teacher 65(8), 703–706.

    Google Scholar 

  • Breugel, K. van: 1987, ‘Van kleitablet tot overhead’, Euclides 63, 117–118.

    Google Scholar 

  • Brodkey, J.J.: 1996, ‘Starting a Euclid club’, Mathematics Teacher 89(5), 386–388.

    Google Scholar 

  • Brummelen, G. van: 1998, ‘Jamshid al-Kashi, calculating genius’, Mathematics in School 27(4), 40–44.

    Google Scholar 

  • Burns, S.: 1997, ‘The Babylonian clay tablet’, Mathematics Teaching 158, 44–45.

    Google Scholar 

  • Byers, V.: 1982, ‘Why study the history of mathematics?’, International Journal of Mathematical Education in Science and Technology 136(1), 59–66.

    Google Scholar 

  • Corris, G.: 1990, ‘Experimental pi’, Mathematics in School 19(1), 18–21.

    Google Scholar 

  • Danckwerts, R. and Vogel, D.: 1997, ‘Ein Blick in die Geschichte: Euklid’, Mathematik Lehren 81, 17–20.

    Google Scholar 

  • Deakin, M.A.B.: 1990, ‘From Pappus to today, the history of a proof’, The Mathematical Gazette 74(467), 6–11.

    Google Scholar 

  • Dhombres, J.: 1993, ‘Is one proof enough? Travels with a mathematician of the baroque period’, Educational Studies in Mathematics 24, 401–419.

    Google Scholar 

  • Dodd, W.A.: 1977, ‘The history of mensuration’, Mathematics in School 66(4), 8–9.

    Google Scholar 

  • Douek, N.: 1999, ‘Argumentation and conceptualization in context: a case study on sunshadows in primary school’, Educational Studies in Mathematics 39, 89–110.

    Google Scholar 

  • Downes, S.: 1997, ‘Woman mathematicians male mathematics - a history of contradiction?’, Mathematics in School 26(3), 26–27.

    Google Scholar 

  • Dubbey, J.M.: 1975, ‘Mathematics of ancient Egypt’, Mathematics in School 4(5), 26–28.

    Google Scholar 

  • Dubbey, J.M.: 1976, ‘Mathematics of ancient Babylon’, Mathematics in School 56(1), 10–11.

    Google Scholar 

  • Duparc, H.J.A.: 1970, ‘De wiskunde in de oudheid’, Euclides 45, 41–48.

    Google Scholar 

  • Eagle, R.: 1998, ‘A typical slice’, Mathematics in School 27(4), 37–39.

    Google Scholar 

  • Edwards, G.M.: 1992, ‘Are we almost there, Captain?’, the geographical errors of Christopher Columbus’, Quantum 3(1), 52–56.

    Google Scholar 

  • Ernest, P.: 1994, ‘The history of mathematics and the learning of mathematics: psychological issues’, Proceedings of the Eighteenth International Conference for the Psychology of Mathematics Education, Vol. I, University of Lisbon, Portugal, pp. 117–120.

    Google Scholar 

  • Ernest, P.: 1998, ‘The history of mathematics in the classroom’, Mathematics in School 27(4), 25–31.

    Google Scholar 

  • Fant, A.B.: 1969, ‘Half man, half myth’, Mathematics Teacher 62(3), 225–228.

    Google Scholar 

  • Fauvel, J.: 1991, ‘Using history in mathematics education’, For the Learning of Mathematics 11(2), 3–6.

    Google Scholar 

  • Fauvel, J. and Maanen, J. van: 1997, ‘The role of the history of mathematics in the teaching and learning mathematics. Discussion document’, ICMI bulletin 42.

  • Fauvel, J. and Maanen, J. van: 2000, History in Mathematics Education, the ICMI Study, Kluwer Academic Publicers, Dordrecht.

    Google Scholar 

  • Fernandez, E.:1994, ‘A kinder, gentler Socrates: conveying new images of mathematics dialogue, For the Learning of Mathematics 14(3), 43–47.

  • Fletcher, C.R.: 1982, ‘Thales - our founder?’, The Mathematical Gazette 666(438), 266–272.

    Google Scholar 

  • Fowler, D.: 1991, ‘Perils and pitfalls of history’, For the Learning of Mathematics 11(2), 15–16.

    Google Scholar 

  • Fraser, B.J. and Koop, A.J.: 1978, 'Teachers’ opinion about some teaching material involving history of mathematics’, International Journal of Mathematical Education in Science and Technology 9(2), 147–151.

    Google Scholar 

  • Freudenthal, H.: 1973, Mathematics as an Educational Task, Reidel, Dordrecht.

    Google Scholar 

  • Freudenthal, H.: 1981, ‘Should a mathematics teacher know something about the history of mathematics?’, For the Learning of Mathematics 2(1), 30–33.

    Google Scholar 

  • Freudenthal, H.: 1987, ‘Historische sprookjes’, Euclides 4(1), 112–114.

    Google Scholar 

  • Führer, L.: 1991, ‘Historical stories in the mathematics classroom’, For the Learning of Mathematics 11(2), 24–31.

    Google Scholar 

  • Furinghetti, F.: 1997, ‘History of mathematics, mathematics education, school practice: case studies in linking different domains’, For the Learning of Mathematics 17(1), 55–61.

    Google Scholar 

  • Furinghetti, F. and Somaglia, A.: 1998, ‘History of mathematics in school across disciplines’, Mathematics in School 24(4), 48–51.

    Google Scholar 

  • Gerstberger, H.: 1986'Irrationalzahlen und Flächenaddition: Wiederentdeckung von Anfang an?’, Mathematik Lehren 19, 10–14.

    Google Scholar 

  • Le Goff, J.P.: 1994, ‘Le troisiè me degré en second cycle: le fil d'Euler’, Repè res IREM 17, 85–120.

    Google Scholar 

  • Graf, K.D. and Hodgson, B.R.: 1990, ‘Popularizing geometrical concepts: the case of the kaleidoscope’, For the Learning of Mathematics 10(3), 42–50.

    Google Scholar 

  • Del Grande, J.: 1993, ‘The method of Archimedes’, Mathematics Teacher 86(3), 240–243.

    Google Scholar 

  • Grattan-Guinness, I.: 1973, ‘Not from nowhere, history and philosophy behind mathematical education’, International Journal of Mathematical Education in Science and Technology 4, 421–453.

    Google Scholar 

  • Grattan-Guinness, I.: 1977, ‘The history of mathematics and mathematical education’, The Australian Mathematics teacher 33(3/4), 117–127; 33(5/6), 164- 169.

    Google Scholar 

  • Grootendorst, A.W.: 1982, ‘De geschiedenis van de wiskunde en het onderwijs in de wiskunde’, Wiskunde en Onderwijs 8(30), 287–306.

    Google Scholar 

  • Grugnetti, L.: 1994, ‘Relations between history and didactics of mathematics’, Proceedings of the Eighteenth International Conference for the Psychology of Mathematics Education, Vol. I, University of Lisbon, Portugal, pp. 121–124.

    Google Scholar 

  • Hallerberg, A.E.: 1978, ‘Squaring the circle - for fun and profit’, Mathematics Teacher 71(4), 247–255.

    Google Scholar 

  • Hartog, W. den: 1981, ‘Gaspard Monge en zijn Géométrie Descriptive(1)’, Wiskunde en Onderwijs 7(25), 63–74; (2): 195- 213; (3): 397- 411; (4): 577- 592.

    Google Scholar 

  • Heiede, T.: 1992, ‘Why teach history of mathematics’, The Mathematical Gazette 76(475), 151–157.

    Google Scholar 

  • Heiede, T.: 1996, ‘History of mathematics and the teacher’, in R. Calinger (ed.), Vita Mathematica: Historical Research and Integration with Teaching, MAA, Washington, pp. 231–243.

    Google Scholar 

  • Hischer, H.: 1994, ‘Geschichte der Mathematik als didaktischer Aspekt(2). Lösung klassischer Probleme. Ein Beispiel für die gymnasiale Oberstufe’, Mathematik in der Schule 32(5), 279–291.

    Google Scholar 

  • Hogendijk, J.P.: 1980, ‘Twee vertellingen over ?’, Euclides 55, 395–408.

    Google Scholar 

  • Hogendijk, J.P.: 1993, ‘Middeleeuws Islamitische methoden voor het vinden van de richting van Mekka’, Nieuwe Wiskrant 12(4), 45–52.

    Google Scholar 

  • Hogendijk, J.P.: 1996, ‘Een workshop over Iraanse mozaï eken’, Nieuwe Wiskrant 16(2), 38–42.

    Google Scholar 

  • Horak, V.M. and Horak W.J.: 1981, ‘Geometric proofs of algebraic identities’, Mathematics Teacher 746(3), 212–216.

    Google Scholar 

  • Impens, C.: 1988, ‘Meetkundige constructies met de parallelliniaal’, Wiskunde en Onderwijs 14(54), 166–178.

    Google Scholar 

  • Jahnke, H.N.: 1996, ‘Mathematikgeschichte für Lehrer, Gründe und Beispiele’, Mathematische Semesterberichte 43, 21–46.

    Google Scholar 

  • Jahnke, H.N.: 1998a, ‘Historische Erfahrungen mit Mathematik’, Mathematik Lehren 91, 4–8.

    Google Scholar 

  • Jahnke, H.N.: 1998b, ‘Sonne, Mond und Erde. Oder: wie Aristarch von Samos mit Hilfe der Geometrie hinter die Erscheinungen sah’, Mathematik Lehren 91, 20–22; 47- 48.

    Google Scholar 

  • Johan, P.: 1996, ‘Géomè tres en herbe “à l'ancienne”. Pratiquer en CM une géométrie “de terrain” inspirée des méthodes de l'Antiquité et du Moyen-Age’, Repè res IREM 23, 31–42.

    Google Scholar 

  • Katz, V.J.: 1994, ‘Ethnomathematics in the classroom’, For the Learning of Mathematics 14(2), 26–30.

    Google Scholar 

  • Katz, V.J.: 1997, ‘Some ideas on the use of history in the teaching of mathematics’, For the Learning of Mathematics 17(1), 62–63.

    Google Scholar 

  • Kindt, M.: 1979, ‘Met Pythagoras op ontdekkingsreis’, Wiskrant 5(18)

  • Kool, M.: 1998, ‘Waarom kort als het ook lang kan?’, Nieuwe Wiskrant, 18(1), 5–8.

    Google Scholar 

  • Kronfeller, M.: 1997, ‘Historische Aspekte im Mathematikunterricht’, Didaktik-Hefte der Österreichischen Mathematischen Gesellschaft 27, 83–100

    Google Scholar 

  • Laforce, F.: 1989, ‘Pareltje uit de oude doos’, Wiskunde en Onderwijs 15(57), 55–56.

    Google Scholar 

  • Laubenbacher, R. and Pengelley, D.: 1996, ‘Mathematical masterpieces: teaching with original sources’, in R. Calinger(ed.), Vita Mathematica: Historical Research and Integration with Teaching, MAA, Washington, pp. 257–260.

    Google Scholar 

  • Lehmann, J.: 1992, ‘25 historische Mathematik-aufgaben’, Mathematik Lehren 53, 6–11.

    Google Scholar 

  • Lehmann, K.: 1988, ‘Einige Gedanken zur Einbeziehung historischer Elemente in der Mathematikunterricht, dargestellt am Beispiel der Klasse 5/1/-Teil 1’, Mathematik in der Schule 266(6), 377–384.

    Google Scholar 

  • Lightner, J.E.: 1991, ‘A chain of influence in the development of geometry’, Mathematics Teacher 846(1), 15–19.

    Google Scholar 

  • Lightner, J.E.: 1975, ‘A new look at the ‘centres’ of a triangle’, Mathematics Teacher 7(68), 612–615.

    Google Scholar 

  • Lit, C.K., Siu, M.K. and Wong, N.Y.: 1999, ‘The use of history in the teaching of mathematics: theory, practice, and evaluation of effectiveness'.

  • Looy, H. van: 1980, ‘Het nut van geschiedenis van de wiskunde voor het wiskundeonderwijs’, Wiskunde en Onderwijs 6(24), 429–444.

    Google Scholar 

  • Lumpkin, B.: 1978, ‘A mathematics club project from Omar Khayyam’, Mathematics Teacher 71(9), 740–744.

    Google Scholar 

  • Maanen, J. van: 1992a, ‘Teaching geometry to 11 year old “medieval lawyers”’, The Mathematical Gazette 76(475), 37–45.

    Google Scholar 

  • Maanen, J. van: 1992b, ‘Seventeenth century instruments for drawing conic sections’, The Mathematical Gazette 76(476), 222–230.

    Google Scholar 

  • Maanen, J. van: 1997, ‘New maths may profit from old methods’, For the Learning of Mathematics 17(2), 39–46.

    Google Scholar 

  • Maanen, J. van: 1998, ‘Old maths never dies’, Mathematics in School 27, 52–54.

    Google Scholar 

  • MacKinnon, N.: 1989, ‘What do you do about 4?r2 ?’, The Mathematical Gazette 73(464), 107–110.

    Google Scholar 

  • MacKinnon, N.: 1992, ‘Homage to Babylonia?’, The Mathematical Gazette 76(475), 158–178.

    Google Scholar 

  • Makowski, G.J. and Strong, W.R.: 1996, ‘Sizing up earth: A universal method for applying Eratosthenes’ earth measurement’, Journal of Geography 95(4), 174–179.

    Google Scholar 

  • Meskens, A.: 1992, ‘Zestiende eeuwse wiskunde doorheen het middelbaar onderwijs’, Wiskunde en Onderwijs 18(70), 232–248.

    Google Scholar 

  • Métin, F.: 1997, ‘Legendre approxime ? en classe de seconde’, Repè res IREM 29, 15–26.

    Google Scholar 

  • Moor, E.W.A. de: 1999, Van Vormleer naar Realistische Meetkunde. Een Historisch-Didactisch Onderzoek van het Meetkunde-Onderwijs aan Kinderen van Vier tot Veertien Jaar in Nederland Gedurende de Negentiende en Twintigste Eeuw, CDPress, Utrecht, p. 691.

    Google Scholar 

  • Netz, R.: 1998, ‘Greek mathematical diagrams: their use and their meaning’, For the Learning of Mathematics 18(3), 33–39.

    Google Scholar 

  • Nöbauer, W.: 1981, ‘Geschichte der Mathematik im Mathematikunterricht’, Der Mathematische und Naturwissenschaftliche Unterricht 34(3), 87–91.

    Google Scholar 

  • Norman, P.: 1977, ‘Trigonometry the quintessence of early astronomy’, The Australian Mathematics Teacher 33(1/2), 59–66.

    Google Scholar 

  • Ofir, R.: 1991, ‘Historical happenings in the mathematical classroom’, For the Learning of Mathematics 11(2), 21–23.

    Google Scholar 

  • Parker, A. and Straker, N.: 1989, ‘Kepler's method for finding the volume of a sphere’, Mathematics in School 18(4), 37–38.

    Google Scholar 

  • Parr, J.M.: 1977, ‘Conic curves as conceived by the Greeks’, School, Science and Mathematics 77(3), 214–226.

    Article  Google Scholar 

  • Perkins, P.: 1991, ‘Using history to enrich mathematics lessons in a girls’ school’, For the Learning of Mathematics 11(2), 9–10.

    Google Scholar 

  • Philippou, G.N. and Christou, C.: 1998, ‘The effects of a preparatory mathematics program in changing prospective teachers’ attitudes towards mathematics’, Educational Studies in Mathematics 35, 189–206.

    Google Scholar 

  • Ponza, M.V.: 1998, ‘A role for the history of mathematics in the teaching and learning of mathematics. An Argentinian experience’, Mathematics in School 27(4), 10–13.

    Google Scholar 

  • Portz, H.: 1991, ‘Galilei entwickelt mit einem 'schüler’ das Kopernikanischer Weltsystem’, Mathematik Lehren 47, 42–47.

    Google Scholar 

  • Proia, L.M. and Menghini, M.: 1984, ‘Conic sections in the sky and on the earth’, Educational Studies in Mathematics 15, 191–210.

    Google Scholar 

  • Radford, L.: 1997, ‘On psychology, historical epistemology, and the teaching of mathematics: towards a socio-cultural history of mathematics’, For the Learning of Mathematics 17(1), 26–33.

    Google Scholar 

  • Ransom, P.: 1991, ‘Whys and hows’, For the Learning of Mathematics 11(2), 7–9.

    Google Scholar 

  • Ransom, P.: 1993, ‘Astrolabes, cross staffs and dials’, Mathematics in School 22(4), 2–8.

    Google Scholar 

  • Ransom, P.: 1995, ‘Navigation and surveying: teaching through the use of old instruments’, Histoire et Epistémologie dans l'Education Mathématique, IREM de Montpellier, pp. 227–239.

  • Rickey, V.F.: 1992, ‘How Columbus encountered America’, Mathematics Magazine 65(4), 219–225.

    Article  Google Scholar 

  • Rickey, V.F.: 1996, ‘The necessity of history in teaching mathematics’, in R. Calinger (ed.), Vita Mathematica, Historical Research and Integration with Teaching, MAA, Washington, pp. 251–256.

    Google Scholar 

  • Robinson, Ph.: 1994, ‘Evangelista Torricelli’, The Mathematical Gazette 78(481), 37–47.

    Google Scholar 

  • Rogers, L.: 1991, ‘History of mathematics: resources for teachers’, For the Learning of Mathematics 11(2), 48–52.

    Google Scholar 

  • Rogers, L.: 1997, Ontology, Phylogeny, and Evolutionary Epistemology, Roehampton Institute, London.

    Google Scholar 

  • Rolwing, R.H. and Levine, M.: 1969, ‘The parallel postulate’, Mathematics Teacher 62(8), 665–669.

    Google Scholar 

  • Rothman, P.: 1997, ‘Mediations on women in the history of mathematics’, Mathematics in School 26(3), 28–30.

    Google Scholar 

  • Röttel, K.: 1981, ‘Aus der Arbeit der römischen Feldmesser’, Praxis der Mathematik 23(7), 210–215.

    Google Scholar 

  • Russ, S.: 1991, ‘The experience of history in mathematics education’, For the Learning of Mathematics 11(2), 7–16.

    Google Scholar 

  • Scheid, H.: 1993, ‘Wann hat Mathematikgeschichte einen Platz im Mathematikunterricht’, Mathematik in der Schule 31(11), 600–605.

    Google Scholar 

  • Schubring, G.: 1977, ‘Die historisch-genetischen Orientierung in der Mathematik Didaktik’, Zentralblatt für Didaktik der Mathematik 9(4), 209–213.

    Google Scholar 

  • Schubring, G.: 1988, ‘Historische Begriffsentwicklung und Lernprozeß aus der Sicht neuerer mathematikdidaktischer Konzeptionen (Fehler, ‘Obstacles’, Transposition)’, Zentralblatt für Didaktik der Mathematik 4(2), 138–148.

    Google Scholar 

  • Scriba, C.J.: 1983, ‘Die Rolle der Geschichte der Mathematik in der Ausbildung von Schülern und Lehrern’, Jahresberichte der Deutsche Mathematiker Verein 85, 113–128.

    Google Scholar 

  • Seitz, D.T.: 1986, ‘A geometric figure relating the golden ratio and pi’, MathematicsTeacher 79(5), 340- 341.

  • Sfard, A.: 1994, ‘What history of mathematics has to offer to psychology of mathematics learning’, Proceedings of the Eighteenth International Conference for the Psychology of Mathematics Education, Vol. I, University of Lisbon, Portugal, pp. 129–132.

    Google Scholar 

  • Siu, F.K. and Siu, M.K.: 1979, ‘History of mathematics and its relation to mathematical education’, International Journal of Mathematical Education in Science and Technology 106(4), 561–567.

    Google Scholar 

  • Siu, M.K.: 1993, ‘Proof and pedagogy in ancient China: examples from Liu Hui's commentary on Jiu Zhang Suan Shu’, Educational Studies in Mathematics 24, 345–357.

    Google Scholar 

  • Smid, H.J.: 1998, ‘A Bibliography of German and Dutch Articles on History in Mathematics Education’,paper for the Luminy conference April 1998, University of Delft.

  • Smith, J.D.: 1992, ‘The remarkable Ibn al-Haytham’, The Mathematical Gazette 76(475), 189–198.

    Google Scholar 

  • Stengel, C.E.: 1972, ‘A look at regular and semiregular polyhedra’, Mathematics Teacher 65(8), 713–718.

    Google Scholar 

  • Stoll, A.: 1998, ‘Les lunules d'Hippocrate de Chio’, Repè res IREM 31, 29–37.

    Google Scholar 

  • Strecker, C.: 1998, ‘Eratosthenes of Kyrene, Columbus von Genua und der Erdumfang - eine fragwürdige Geschichte’, Mathematik in der Schule 36(2), 106–114.

    Google Scholar 

  • Struve, H.: 1996, ‘On the epistemology of mathematics in history and in school’, in H.N. Jahnke, N. Knocke and M. Otte (eds.), History of Mathematics and Education: Ideas and Experiences, Göttingen.

  • Swetz, F.J.: 1972, ‘The amazing Chiu Chang Suan Shu’, Mathematics Teacher 65(5), 423–430.

    Google Scholar 

  • Swetz, F.J.: 1977, ‘The ‘piling up of squares’ in ancient China’, Mathematics Teacher 70(1), 72–79.

    Google Scholar 

  • Swetz, F.J.: 1984, ‘Seeking relevance? Try the history of mathematics’, Mathematics Teacher 77, 54–62.

    Google Scholar 

  • Swetz, F.J.: 1989, ‘Using problems from the history of mathematics in classroom instruction’, Mathematics Teacher 82, 370–377.

    Google Scholar 

  • Swetz, F.J.: 1995a, ‘To know and to teach: mathematical pedagogy from a historical context’, Educational Studies in Mathematics 29, 73–88.

    Google Scholar 

  • Swetz, F.J.: 1995b, ‘The volume of a sphere: a Chinese derivation’, Mathematics Teacher 88(2), 142–145.

    Google Scholar 

  • Tahta, D.: 1992a, ‘On the geometry of the sriyantra’, The Mathematical Gazette 76(475), 49–60.

    Google Scholar 

  • Tahta, D.: 1992b, ‘Hidden ratios’, The Mathematical Gazette 76(477), 335–344

    Google Scholar 

  • Thomaides, Y.: 1991, ‘Historical digressions in Greek geometry lessons’, For the Learning of Mathematics 11(2), 37–43.

    Google Scholar 

  • Tobias, R.K.: 1981, ‘Volume: some historical perspectives, Archimedes and balances’, The Mathematical Gazette 65(434), 261–264.

    Google Scholar 

  • Toumasis, C.: 1995, ‘Let's put history into our mathematics classroom’, Mathematics in School 24(2), 18–19.

    Google Scholar 

  • Turvey, P.R.H.: 1995, ‘Pappus plus’, Mathematics in School 24(5), 38–40.

    Google Scholar 

  • Tzanakis, C., Thomaides, Y.: 1998, ‘Presuppositions of a constructive role of the history of mathematics in understanding and teaching mathematics’, Luminy ‘Reader'.

  • Tzanakis, C.: 1999, ‘Unfolding interrelations between mathematics and physics, in a presentation motivated by history: two examples’, International Journal of Mathematical Education in Science and Technology 30(1), 103–118.

    Google Scholar 

  • Veloso, E.: 1994, ‘Practical uses of mathematics in the past: A historical approach to the learning of mathematics’, Proceedings of the Eighteenth International Conference for the Psychology of Mathematics Education, Vol. I, University of Lisbon, Portugal, pp. 133–136.

    Google Scholar 

  • Waldegg, G.: 1997, ‘Histoire, épistémologie et méthodologie dans la recherche en didactique’, For the Learning of Mathematics 17(1), 43–46.

    Google Scholar 

  • Waters,Jr., W.M.: 1982, ‘Some quick constructions’, Mathematics teacher 75(4), 286–287.

    Google Scholar 

  • Weeks, C.: 1998, ‘Ptolemy's problem’, Mathematics in School 27(4), 34–36.

    Google Scholar 

  • Windmann, B.: 1986, ‘Methoden des Geschichtsunterricht im Mathematikunterricht, Plädoyer für ein Unterrichtskonzept’, Mathematik Lehren 19, 24–31.

    Google Scholar 

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Gulikers, I., Blom, K. `A historical angle’, a survey of recent literature on the use and value of history in geometrical education. Educational Studies in Mathematics 47, 223–258 (2001). https://doi.org/10.1023/A:1014539212782

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