Abstract
After a succinct description of the meeting opportunities for mathematics educators up to the 1950s, this chapter describes how, in the wake of the New Math/modern mathematics reform movement, meetings have become a fundamental tool for focusing on problems and potential of reform proposals. Bodies that have played the most relevant roles are ICMI, CIEAEM, OEEC/OECD, and UNESCO. In the conferences that followed the Royaumont Seminar, particular interest was turned to the search for new axioms for geometry, with many proposals and discussions. But modern mathematics was not just this; in other places, the attention was turned to more general questions of a methodological and social nature. This congress season has fostered the creation of new traditions such as the birth of journals specialized in mathematics education, and periodic conferences on mathematics education, as exemplified by the four-year ICMEs.
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Notes
- 1.
CIEM stands for Commission Internationale de l’Enseignement Mathématique, IMUK stands for Internationale Mathematische Unterrichtskommission (see, e.g., Howson 1984).
- 2.
The complete list can be found in https://www.cieaem.org/index.php/en/meetings-en/previous-meetings
- 3.
The questionnaire (see Appendix B in OEEC (1961a), pp. 221–237) was sent to the OEEC member countries, and to Canada, the United States, and Yugoslavia. Only Spain did not answer, so the survey lists 20 countries. The results of the survey, divided by countries, with the exception of Canada. were also presented to OEEC (1961b).
- 4.
- 5.
- 6.
We refer here to the paper version of the first issue of 1969 of the Internationale Mathematische Nachrichten, which has not been digitalized. The number 91 of the volume was repeated for the first issue of 1970.
References
Artigue, M. (2008). Interview with Maurice Glaymann. Retrieved November 1, 2020, from https://www.icmihistory.unito.it/clips.php
Artin, E. (1963). Les points de vue extrêmes sur l’enseignement de la géométrie [The extreme points of view on geometry teaching]. L’Enseignement Mathématique, s. 2, 9, 1–4.
Barrantes, H., & Ruiz, A. (1998). The history of the Inter-American Committee on Mathematics Education (Bilingual Spanish and English edition). Bogotá, Colombia: Academia Colombiana de Ciencias Exactas, Físicas y Naturales.
Behnke, H., Choquet, G., Dieudonné, J., Fenchel, W., Freudenthal, H., Hajós, G., & Pickert, G. (1960). Lectures on modern teaching of geometry and related topics. Aarhus, Denmark: Matematisk Institut (Aarhus Universitet), Elementaer Afdeling. Nr. 7.
Behnke, H., Hammersley, J. M., Krygowska, A. Z., Pollak, H., Revuz, A., Servais, W., Sobolev, S., & Freudenthal, H. (1968). Panel discussion. Educational Studies in Mathematics, 1, 61–79.
Bernet, T., & Jaquet, F. (1998). La CIEAEM au travers de ses 50 premières rencontres [The CIEAEM through its first 50 meetings]. Neuchâtel, Switzerland: CIEAEM.
Bruner, J. (1960). The Process of Education. Cambridge, MA: Harvard University Press.
BUMI. (1962). Il convegno di Bologna promosso dalla Commissione internazionale dell’insegnamento matematico [The Bologna conference promoted by the International Commission on Mathematical Instruction]. Bollettino della Unione Matematica Italiana, s. 3, 17, 199–214.
Cartan, H. (1963). Réflexions sur les rapports d’Aarhus et Dubrovnik [Reflections on the Aarhus and Dubrovnik reports]. L’Enseignement Mathématique, s. 2, 9, 84–90.
Castelnuovo, E. (1966). Un enseignement modern des mathématiques dans le 1er cycle secondaire [Modern teaching of mathematics in lower secondary education]. L’Enseignement Mathématique, s. 2, 12, 195–199.
Choquet, G. (1964). L’enseignement de la géométrie [The teaching of geometry]. Paris, France: Hermann.
Christiansen, B. (1978). The cooperation between ICMI and UNESCO. ICMI Bulletin, 10, 4–10.
Conférence Echternach. (1965). Les répercussions de la recherche mathématique sur l’enseignement. Textes originaux des conférences faites au séminaire organisé par la C.I.E.M. à Echternach (G.-D. de Luxembourg) été 1965 [The impact of mathematical research on teaching. Original texts of the conferences given at the seminar organized by the C.I.E.M. in Echternach (G.-D. of Luxembourg) summer 1965]. Echternach, Luxembourg: Institut Grand-Ducal Section des Sciences Naturelles, Physiques et Mathématiques.
De Bock, D., & Vanpaemel, G. (2015). Modern mathematics at the 1959 OEEC Seminar at Royaumont. In K. Bjarnadottir, F. Furinghetti, J. Prytz, & G. Schubring (Eds.), “Dig where you stand” 3. Proceedings of the third International Conference on the History of Mathematics Education (pp. 151–168). Uppsala, Sweden: Department of Education, Uppsala University.
De Finetti, B. (1965). Programmi e criteri per l’insegnamento della matematica alla luce delle diverse esigenze [Programs and criteria for teaching mathematics in the light of different needs]. Periodico di Matematiche, s. 4, 43, 119–143.
Delessert, A. (1967). Compte rendu de la séance de la C.I.E.M. tenu à Utrecht, le 26 Août 1967 [Minutes of the ICMI meeting held in Utrecht on August 26, 1967]. L’Enseignement Mathématique, s. 2, 13, 243–246.
Dieudonné, J. (1961). New thinking in school mathematics. In OEEC, New thinking in school mathematics (pp. 31–46). Paris, France: OEEC.
Dieudonné, J. (1964). Algèbre linéaire et géométrie élémentaire [Linear algebra and elementary geometry]. Paris, France: Hermann.
Fehr, H. F. (1961). The significance of this report. In OEEC, New thinking in school mathematics (pp. 207–210). Paris: OEEC.
Félix, L. (1986). Aperçu historique (1950–1984) sur la Commission Internationale pour l’Étude et l’Amélioration de l’Enseignement des Mathématiques (CIEAEM). 2ème édition revue et augmentée [Historical overview (1950–1984) on the International Commission for the Study and Improvement of Mathematics Teaching (CIEAEM). 2nd revised and expanded edition]. Bordeaux, France: IREM de Bordeaux. Retrieved December 31, 2017, from http://math.unipa.it/~grim/cieaem_files/CIEAEM_histoire_FLucienne_1985.pdf
Freudenthal, H. (1963). Enseignement des mathématiques modernes ou Enseignement moderne des mathématiques [Teaching modern mathematics or modern teaching of mathematics]. L’Enseignement Mathématique, s. 2, 9, 28–44.
Furinghetti, F. (2003). Mathematical instruction in an international perspective: The contribution of the journal L’Enseignement Mathématique. In D. Coray, F. Furinghetti, H. Gispert, B. R. Hodgson, & G. Schubring (Eds.), One hundred years of L’Enseignement Mathématique (Monographie 39 de L’Enseignement Mathématique), pp. 19–46. Genève, Switzerland: L’Enseignenement Mathématique.
Furinghetti F., & Giacardi, L. (to appear). ICMI in 1950s and 1960s: Reconstruction, settlement, and “revisiting mathematics education”. In F. Furinghetti & L. Giacardi (Eds.), The International Commission on Mathematical Instruction 1908–2008: People, events, and challenges in mathematics education. Cham, Switzerland: Springer.
Gattegno, C., Servais, W., Castelnuovo, E., Nicolet, J. L., Fletcher, T. J., Motard, L., Campedelli, L., Biguenet, A., Peskette, J. W., & Puig Adam, P. (1958). Le matériel pour l’enseignement des mathématiques [Materials for the teaching of mathematics]. Neuchâtel, Switzerland: Delachaux et Niestlé.
Gattegno, C. (1988). Reflections on forty years of work on mathematics teaching. For the Learning of Mathematics, 8(3), 41–42.
Gerretsen, J. C. H., & de Groot, J. (Eds.). (1954–1957). Proceedings of the International Congress of Mathematicians. Groningen, The Netherlands: E. P. Noordhoff N. V./ Amsterdam, The Netherlands: North-Holland.
Goals for school mathematics. (1964). The American Mathematical Monthly, 71(2), 196–199.
Hammersley, J. M. (1968). On the enfeeblement of mathematical skills by modern mathematics and by similar soft intellectual trash in schools and universities. Educational Studies in Mathematics, 1, 17. The full text is published in 1968, Bulletin of the Institute of Mathematics and its Applications, 4, 66–85.
Hodgson, B. R. (2008). Interview with Geoffrey Howson. Retrieved November 1, 2020, from https://www.icmihistory.unito.it/clips.php
Hodgson, B. R. (2009). ICMI in the post-Freudenthal era: Moments in the history of mathematics education from an international perspective. In K. Bjarnadóttir, F. Furinghetti, & G. Schubring (Eds.), “Dig where you stand”: Proceedings of the conference on “On-going research in the History of Mathematics Education” (pp. 79–96). Reykjavik, Iceland: The University of Iceland.
Howson, A. G. (1984). Seventy-five years of the International Commission on Mathematical Instruction. Educational Studies in Mathematics, 15, 75–93.
Hungarian National Commission for UNESCO. (1963). Report on the work of the international symposium on school mathematics teaching. Budapest, Hungary: Akadémiai Kiadó.
Jacobsen, E. (1996). International co-operation in mathematics education. In A. J. Bishop, K. Clements, C. Keitel, J. Kilpatrick, & C. Laborde (Eds.), International handbook of mathematics education (pp. 1235–1256). Dordrecht, The Netherlands/Boston, MA/London, United Kingdom: Kluwer.
Kemeny, J. G. (1964). Which subjects in modern mathematics and which applications of modern mathematics can find a place in programmes of secondary school instruction?. L’Enseignement Mathématique, s. 2, 10, 152–176.
Kilpatrick, J. (2012). The new math as an international phenomenon ZDM—Mathematics Education, 44, 563–571.
Kline, M. (1973). Why Johnny can’t add: The failure of the new math. New York, NY: St. Martin’s Press Random House.
Malaty, G. (1999). The third world mathematics education is a hope for the world mathematics education development in the 21st century. In A. Rogerson (Ed.), Proceedings of the International Conference Mathematics Education into the 21st Century: Societal challenges, Issues and Approaches (pp. 231–240). Cairo, Egypt: The mathematics education for the future project.
OECD. (1964). Mathematics to-day. A guide for teachers. Paris, France: OECD.
OEEC. (1961a). New thinking in school mathematics. Paris, France: OEEC. French edition: Mathématiques nouvelles. Paris, France: OECE.
OEEC. (1961b). School mathematics in OEEC countries—Summaries. Paris, France: OEEC.
OEEC. (1961c). Synopses for modern secondary school mathematics. Paris, France: OEEC.
Piaget, J., Beth, E. W., Dieudonné, J., Lichnerowicz, A., Choquet, G., & Gattegno, C. (1955). L’enseignement des mathématiques [The teaching of mathematics]. Neuchâtel, Switzerland: Delachaux et Niestlé.
Powell, A. B. (2007). Caleb Gattegno (1911–1988): A famous mathematics educator from Africa? Revista Brasileira de História da Matemática, Especial n° 1–Festschrift Ubiratan D’Ambrosio, 199–209.
R. G. (1964). Seminario matematico internazionale Villa Falconieri – Frascati, 8–10 ottobre 1964) [International mathematical seminar (Villa Falconieri – Frascati, October 8–10, 1964)]. Archimede, 16, 314–330.
Report of the Executive Committee to the national adhering organizations. Covering the period April 21, 1955–May 31, 1956. (1956). Internationale Mathematische Nachrichten, 47–48, 1–16.
Revuz, A. (1965). Pour l’enseignement de la géométrie, la route est tracée [For the teaching of geometry, the road is drawn]. Mathematica & Paedagogia, 28, 74–77.
Schubring, G. (2008). The origins and the early history of ICMI. International Journal for the History of Mathematics Education, 3(2), 3–33.
Schubring, G. (2014a). The original conclusions of the Royaumont Seminar 1959, edited and commented by Gert Schubring. International Journal for the History of Mathematics Education, 9(1), 89–101.
Schubring, G. (2014b). The road not taken—The failure of experimental pedagogy at the Royaumont Seminar 1959. Journal für Mathematik-Didaktik, 35(1), 159–171.
Steiner, H.-G. (1965). Internationales Kolloquium in Utrecht ober modernen mathematischen Unterricht an der höheren Schule [International colloquium in Utrecht on modern mathematical education at high school]. Mathematisch-physikalische Semesterberichte, n. s., 12(1), 127–128.
Stone, M. H. (1961). Reform in school mathematics. In OEEC, New thinking in school mathematics (pp. 14–29). Paris, France: OEEC.
Stone, M. H. (1963). Le choix d’axiomes pour la géométrie à l’école [The choice of axioms for geometry at school]. L’Enseignement Mathématique, s. 2, 9, 45–55.
Straszewicz, S. (1964). Relations entre l’arithmétique et l’algèbre dans l’enseignement des mathématiques pour les enfants jusqu’à l’âge de quinze ans [Connections between arithmetic and algebra in the mathematical instruction of children up to the age of 15]. L’Enseignement Mathématique, s. 2, 10, 271–293.
Teodorescu, N. (Ed.). (1968). Colloque International UNESCO. Modernization of mathematics teaching in European countries. Bucharest, Romania: Editions didactiques et pédagogiques.
Thom, R. (1973). Modern mathematics: Does it exist? In A. G. Howson (Ed.), Developments in mathematical education. Proceedings of the Second International Congress on Mathematical Education (pp. 194–209). Cambridge, United Kingdom: University Press.
Todd, J. A. (Ed.). (1960). Proceedings of the International Congress of Mathematicians. Cambridge, United Kingdom: Cambridge University Press.
UNESCO. (1967). New trends in mathematics teaching—Tendances nouvelles de L’enseignement des mathématiques. Vol. 1. Paris, France: UNESCO.
Vanhamme, J. (1991). Un peu d’histoire/A short historical background. In A. Warbecq (Ed.), Proceedings of the 41st CIEAEM Meeting (Role and conception of mathematics curricula, Bruxelles, 1989) (pp. V–XV). Bruxelles: Le Comité organisateur.
Vanpaemel, G., & De Bock, D. (2019). New Math, an international movement? In E. Barbin, U. T. Jankvist, T. H. Kjeldsen, B. Smestad, & C. Tzanakis (Eds.), Proceedings of the Eighth European Summer University on History and Epistemology in Mathematics Education (pp. 801–812). Oslo, Norway: Oslo Metropolitan University.
Weaver, J. F. (1965). African mathematics program The Arithmetic Teacher, 12, 472–480.
Williams, G. A. A. (1976). The development of a modern mathematics curriculum in Africa. The Arithmetic Teacher, 23, 254–261.
Wittenberg, A. (1965). Priorities and responsibilities in the reform of mathematical education: An essay in educational meta-theory. L’Enseignement Mathématique, s. 2, 11, 287–308.
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Furinghetti, F., Menghini, M. (2023). The Royaumont Seminar as a Booster of Communication and Internationalization in the World of Mathematics Education. In: De Bock, D. (eds) Modern Mathematics. History of Mathematics Education. Springer, Cham. https://doi.org/10.1007/978-3-031-11166-2_4
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