Abstract
This chapter is devoted to a historical overview of the process of internationalization in mathematics education. The development of mathematics education is analyzed as a part of social history, and therefore the discussion inevitably touches on history and even politics. The concepts “international,” “internationalization,” and “globalization” themselves may be understood in different ways, and this is also discussed in the chapter. The chapter sequentially, albeit very briefly, analyzes various stages of the development of international collaboration, wherever possible identifying similar processes in the development of mathematics education in different regions that have facilitated such collaboration. The problem of the growth of scholarly articles from different regions is examined, as is the appearance and development of various international conferences and organizations of mathematics educators. The chapter also considers criticisms of internationalization as well as its limits.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsNotes
- 1.
This and later translations from Russian in this chapter are by the present author.
- 2.
On that matter it is pertinent to reflect on Leo Tolstoy’s description of Natasha Rostova, one of the characters in War and Peace, who presumably had been educated in an education system that was incomparably more similar to foreign education systems than what we observe today, even given all the communication across nations: “Where, how, when had she—this little countess, educated by an émigrée French governess—imbibed from the Russian air she breathed that spirit and obtained these mannerisms, which the pas de chale was supposed to have supplanted long ago? But the spirit and the mannerisms were the very same ones, inimitable, unlearned, Russian” (Tolstoy, 1980, p. 277).
References
Abramov, A. (2010). Toward a history of mathematics education reform in Soviet schools (1960s–1980s). In A. Karp & B. Vogeli (Eds.), Russian mathematics education: History and world significance (pp. 87–140). Hackensack, NJ: World Scientific.
Adler, J., Ball, D., Krainer, K., Lin, F.-L., & Novotná, J. (2005). Reflections on an emerging field: Researching mathematics teacher education. Educational Studies in Mathematics, 60(3), 359–381.
Albers, D. J., Alexanderson, G. L., & Reid, C. (1987). International mathematical congresses. An illustrated history 1893–1986. New York, NY: Springer Verlag.
Alonso, O. B., Fried, K., & Pardala, A. (2010). Russian influence on mathematics education in the socialist countries. In A. Karp & B. Vogeli (Eds.), Russian mathematics education: History and world significance (pp. 325–357). Hackensack, NJ: World Scientific.
An, S. (2008). Outsiders’ views on Chinese mathematics education: A case study on the United States teachers’ teaching experience in China. Journal of Mathematics Education, 1(1), 1–27.
Atweh, B., Barton, A. C., Borba, M. C., Gough, N., Keitel, C., Vistro-Yu, C., & Vithal, R. (Eds.). (2008). Internationalisation and globalisation in mathematics and science education. Dordrecht, The Netherlands: Springer.
Atweh, B., & Clarkson, P. C. (2001). Internationalization and globalization of mathematics education: Toward an agenda for research/action. In B. Atweh, H. Forgasz, & B. Nebres (Eds.), Sociocultural research on mathematics education: An international perspective (pp. 77–94). Mahwah, NJ: Lawrence Erlbaum.
Atweh, B., & Clarkson, P. C. (2002). Globalization and mathematics education: From above and below. In Proceedings of the Annual Conference of the Australian Association of Research in Education. Brisbane, Australia: University of Queensland, AARE.
Atweh, B., Clarkson, P. C., & Nebres, B. (2003). Mathematics education in international and global contexts. In A. J. Bishop, M. A. Clements, C. Keitel, J. Kilpatrick, & F. K. S. Leung (Eds.), Second international handbook of mathematics education (pp. 185–229). Dordrecht, The Netherlands: Kluwer Academic Publishers.
Atweh, B., Forgasz, H., & Nebres, B. (Eds.). (2001). Sociocultural research on mathematics education: An international perspective. Mahwah, NJ: Erlbaum.
Atweh, B., & Keitel, C. (2008). Social (in)justice and international collaborations in mathematics education. In B. Atweh, A. C. Barton, M. C. Borba, N. Gough, C. Keitel, C. Vistro-Yu, & R. Vithal (Eds.), Internationalisation and globalisation in mathematics and science education (pp. 95–111). Dordrecht, The Netherlands: Springer.
Ausejo, E. (2010). The introduction of “modern mathematics” in secondary education in Spain (1954–1970). International Journal for the History of Mathematics Education, 5(2), 1–14.
Baker, D. P., & LeTendre, G. K. (2005). National differences, global similarities: World culture and the future of schooling. Stanford, CA: Stanford University Press.
Bass, H. (2008). Moments in the life of ICMI. In M. Menghini, F. Furinghetti, L. Giacardi, & F. Arzarello (Eds.), The first century of the International Commission on Mathematics Instruction (1908–2008). Reflecting and shaping the world of mathematics education (pp. 9–24). Rome, Italy: Instituto della Enciclopedia Italiana.
Begle, E. G. (1969). The role of research in the improvement of mathematics education. Educational Studies in Mathematics, 2(2/3), 232–244.
Bishop, A. J. (1992). International perspectives on research in mathematics education. In D. Grouws (Ed.), Handbook of research on mathematics teaching and learning (pp. 710–723). New York, NY: Macmillan.
Brickman, W. (1960). A historical introduction to comparative education. Comparative Education Review, 2(3), 6–13.
Brito, A. (2008). Case study about how Bourbakism became implemented via international agencies in a key region of Brazil. International Journal for the History of Mathematics Education, 3(2), 65–72.
Búrigo, E. Z. (2009). Modern mathematics in Brazil: The promise of democratic and effective teaching. International Journal for the History of Mathematics Education, 4(1), 29–42.
Charlot, B. (1989). Institutional and socio-economic context of the “modern mathematics” reform in France. In C. Keitel, P. Damerov, A. Bishop, & P. Gerdes (Eds.), Mathematics, education and society (Science and Technology Education Document Series, Vol. 35, pp. 58–59). Paris, France: UNESCO.
CIEAEM. (2005). Changes in society: A challenge for mathematics education. (Proceedings of CIEAEM 57). Piazza Armerina, Italy: Author.
CIEAEM. (2007). Mathematical activity in classroom practice and as a research object in didactics: Two complementary perspectives (Proceedings of CIEAEM 59). Dobogoko, Hungary: Author.
Clements, M. A., & Ellerton, N. F. (1996). Mathematics education research: Past, present and future. Bangkok, Thailand: Asia-Pacific Centre of Educational Innovation for Development/UNESCO.
Cohen, P. C. (2003). Numeracy in nineteenth-century America. In G. M. A. Stanic & J. Kilpatrick (Eds.), A history of school mathematics (pp. 43–76). Reston, VA: National Council of Teachers of Mathematics.
Connelly, J. (2010). A tradition of excellence transitions to the 21st century: Hungarian mathematics education, 1988–2008 (Doctoral dissertation). Teachers College, Columbia University. Retrieved from http://www.proquest.com/en-US/.
Cooper, P. (1985). Renegotiating secondary school mathematics. A study of curriculum change and stability. London, UK: Falmer.
Coray, D., Furinghetti, F., Gispert, H., Hodgson, B., & Schubring, G. (Eds.). (2003). One hundred years of L’Enseignement Mathématique: Moments of mathematics education in the twentieth century. Geneva, Switzerland: L’Enseignement Mathématique.
Cross, A. E. (2001). The study of mathematics teaching and learning in selected Eritrean secondary schools (Doctoral dissertation). Tennessee State University. Retrieved from http://www.proquest.com/en-US/.
D’Ambrosio, U. (1977). Science and technology in Latin America during discovery. Impact of Science on Society, 27(3), 267–274.
D’Ambrosio, U. (2006). Ethnomathematics: Link between traditions and modernity. Rotterdam, The Netherlands: Sense Publishers.
Damerow, P., Dunkley, M. E., Nebres, B. F., & Werry, B. (1984). Mathematics for all. Problems of cultural selectivity and unequal distribution of mathematical education and future perspectives on mathematics teaching for the majority (Science and Technology Education Document Series, Vol. 20). Paris, France: UNESCO.
Davis, J. C. (1992). Young children’s mathematical knowledge in Benin and the United States (Doctoral dissertation). Teachers College, Columbia University. Retrieved from http://www.proquest.com/en-US/.
Doku, P. A. (2003). Ghanian senior secondary school mathematics curriculum: Professors’, teachers’ and students’ perceptions (Doctoral dissertation). Teachers College, Columbia University. Retrieved from http://www.proquest.com/en-US/.
Donoghue, E. F. (2008). David Eugene Smith and the founding of the International Commission on the Teaching of Mathematics. International Journal for the History of Mathematics Education, 3(2), 35–46.
Ehrenfeucht, A. (1978). Change in mathematics education since the late 1950s—Ideas and realization: Poland. Educational Studies in Mathematics, 9(3), 283–295.
El Sawi, M. (1978). Change in mathematics education since the late 1950s—Ideas and realization: Sudan. Educational Studies in Mathematics, 9(3), 317–330.
Ernest, P. (2008). Epistemological issues in the internationalization and globalization of mathematics education. In B. Atweh, A. C. Barton, M. C. Borba, N. Gough, C. Keitel, C. Vistro-Yu, & R. Vithal (Eds.), Internationalisation and globalisation in mathematics and science education (pp. 19–38). Dordrecht, The Netherlands: Springer.
Fey, J. (1978). Change in mathematics education since the late 1950s—Ideas and realization: U.S.A. Educational Studies in Mathematics, 9(3), 339–353.
Fey, J., & Graeber, A. (2003). From the new math to the agenda for action. In G. M. A. Stanic & J. Kilpatrick (Eds.), A history of school mathematics (pp. 521–558). Reston, VA: National Council of Teachers of Mathematics.
Freudenthal, H. (1978). Change in mathematics education since the late 1950s—Ideas and realization: The Netherlands. Educational Studies in Mathematics, 9(3), 261–270.
Fukuyama, F. (1992). The end of history and the last man. New York, NY: Free Press.
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. Hodgson, & G. Schubring (Eds.), One hundred years of L’Enseignement Mathématique: Moments of mathematics education in the twentieth century (pp. 19–46). Geneva, Switzerland: L’Enseignement Mathématique.
Gravemeijer, K. P. E. (1994). Developing realistic mathematics education. Utrecht, The Netherlands: Freudenthal Institute.
Gunawardena, A. J. (1978). Change in mathematics education since the late 1950s—Ideas and realization: Sri Lanka. Educational Studies in Mathematics, 9(3), 303–316.
Halmos, M., & Varga, T. (1978). Change in mathematics education since the late 1950s—Ideas and realization: Hungary. Educational Studies in Mathematics, 9(2), 225–244.
Hanna, G. (2003). Journals of mathematics education, 1900–2000. In D. Coray, F. Furinghetti, H. Gispert, B. Hodgson, & G. Schubring (Eds.), One hundred years of L’Enseignement Mathématique: Moments of mathematics education in the twentieth century (pp. 67–84). Geneva, Switzerland: L’Enseignement Mathématique.
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. Furringhetti, & G.Schubring (Eds.), “Dig where you stand”: Proceedings of the conference “On-going research in the history of mathematics education” (pp. 79–96). Reykjavik, Iceland: The University of Iceland.
Howson, G. (1978). Change in mathematics education since the late 1950s—Ideas and realization: Great Britain. Educational Studies in Mathematics, 9(2), 183–223.
Howson, G. (1980). Socialist mathematics education: Does it exist? Educational Studies in Mathematics, 11(3), 285–299.
Howson, G. (2010). Mathematics, society, and curricula in nineteenth-century England. International Journal for the History of Mathematics Education, 5(1), 21–52.
Institute of International Education. (2010). Open doors data. Retrieved from http://www.iie.org/.
Jacobsen, E. C. (1993). The cooperation between ICMI and UNESCO. ICMI Bulletin, 34, 11–12.
Kapur, J. N. (1978). Change in mathematics education since the late 1950s—Ideas and realization: India. Educational Studies in Mathematics, 9(3), 245–253.
Karp, A. (2002). Klassik real’nogo obrazovaniya [Classic of genuine education]. Matematika v shkole, 8, 7–11.
Karp, A. (2007a). The Cold War in the Soviet school: A case study of mathematics. European Education, 38(4), 23–43.
Karp, A. (2007b). “We all meandered through our schooling …”: Notes on Russian mathematics education during the first third of the nineteenth century. British Society for the History of Mathematics Bulletin, 22, 104–119.
Karp, A. (2008). Interview with Geoffrey Howson. International Journal for the History of Mathematics Education, 3(1), 47–67.
Karp, A. (2010). Reforms and counter-reforms: Schools between 1917 and the 1950s. In A. Karp & B. Vogeli (Eds.), Russian mathematics education: History and world significance (pp. 43–85). Hackensack, NJ: World Scientific.
Karp, A., & Leikin, R. (2011). On mathematics education research in Russia. In A. Karp & B. Vogeli (Eds.), Russian mathematics education: Programs and practices (pp. 411–486). Hackensack, NJ: World Scientific.
Karp, A., & Vogeli, B. (Eds.). (2010). Russian mathematics education: History and world significance. Hackensack, NJ: World Scientific.
Karp, A., & Vogeli, B. (Eds.). (2011). Russian mathematics education: Programs and practices. Hackensack, NJ: World Scientific.
Keitel, C., Damerov, P., Bishop, A., & Gerdes, P. (Eds.). (1989). Mathematics, education and society (Science and Technology Education Document Series, Vol. 35). Paris, France: UNESCO.
Keitel, C., & Kilpatrick, J. (1999). The rationality and irrationality of international comparative studies. In G. Kaiser, G. Luna, & I. Huntley (Eds.), International comparisons in mathematics education (pp. 241–256). London, UK: Routledge.
Kilpatrick, J. (1992). A history of research in mathematics education. In D. Grouws (Ed.), Handbook of research on mathematics teaching and learning (pp. 3–38). New York, NY: Macmillan.
Kilpatrick, J. (2008). The development of mathematics education as an academic field. In M. Menghini, F. Furinghetti, L. Giacardi, & F. Arzarello (Eds.), The first century of the International Commission on Mathematics Instruction (1908–2008): Reflecting and shaping the world of mathematics education (pp. 25–39). Rome, Italy: Instituto della Enciclopedia Italiana.
Kilpatrick, J. (2010). Influences of Soviet research in mathematics education. In A. Karp & B. Vogeli (Eds.), Russian mathematics education: History and world significance (pp. 359–368). Hackensack, NJ: World Scientific.
Lehto, O. (1998). Mathematics without borders: A history of the International Mathematical Union. New York, NY: Springer-Verlag.
Leung, F. K. S. (1987). The secondary school mathematics curriculum in China. Educational Studies in Mathematics, 18, 35–57.
Leung, F. K. S. (2001). In search of an East Asian identity in mathematics education. Educational Studies in Mathematics, 47, 35–51.
Leung, F. K. S., Graf, K. D., & Lopez-Real, F. J. (Eds.). (2006). Mathematics education in different cultural traditions—A comparative study of East Asia and the West. The 13th ICMI Study. New York, NY: Springer.
Lietzmann, W. (1924). New types of schools in Germany and their curricula in mathematics. Mathematics Teacher, 17, 148–153.
Lluis, E. (1986). Geometry teaching in Latin America. In R. Morris (Ed.), Studies in mathematics education: Teaching of geometry (pp. 31–42). Paris, France: UNESCO.
Lohwater, A. J. (1957). Mathematics in the Soviet Union. Science, New Series, 25(3255), 974–978.
Maksheev, Z. (1913). [Introduction]. In Trudy 1-go vserossiiskogo s’ezda uchiteley matematiki [Proceedings of the 1st All-Russian Congress of Teachers of Mathematics] (Vol. 1, pp. iii–xiv). St. Petersburg, Russia: Sever.
Malsch, F. (1927). The teaching of mathematics in Germany since the war. Mathematics Teacher, 20, 355–368.
Miliukov, P. N. (1960). Outlines of Russian culture. New York, NY: A. S. Barnes.
Mwakapenda, W. (2002). The status and context of change in mathematics education in Malawi. Educational Studies in Mathematics, 49, 251–281.
Ohuche, O. (1978). Change in mathematics education since the late 1950s—Ideas and realization: Nigeria. Educational Studies in Mathematics, 9(3), 271–281.
Pew Hispanic Center. (2008). Statistical portrait of the foreign-born population in the United States, 2008. Retrieved from http://pewhispanic.org/files/factsheets/foreignborn2008/Table%205.pdf.
Pitombeira de Carvalho, J. (2006). A turning point in secondary school mathematics in Brazil: Euclides Roxo and the mathematics curricular reforms of 1931 and 1942. International Journal for the History of Mathematics Education, 1, 69–86.
Pollak, H. O. (2003). A history of the teaching of modeling. In G. M. A. Stanic & J. Kilpatrick (Eds.), A history of school mathematics (pp. 647–672). Reston, VA: National Council of Teachers of Mathematics.
Polya, G. (1959). Kak reshat’ zadachu [How to solve it]. Moscow, USSR: Uchpedgiz.
Purakam, O. (1978). Change in mathematics education since the late 1950s—Ideas and realization: Thailand. Educational Studies in Mathematics, 9(3), 331–337.
Quan, W. L. (1992). Chinese advancements in mathematics education. Educational Studies in Mathematics, 23, 287–298.
Reeve, W. D. (Ed.). (1929). Significant changes and trends in the teaching of mathematics throughout the world since 1919. The fourth NCTM yearbook. New York, NY: Teachers College, Columbia University.
Roberts, D. (2010). Interview with Izaak Wirszup. International Journal for the History of Mathematics Education, 5(1), 53–74.
Romberg, T. A. (1971). Publicity and educational research: A case study. Journal for Research in Mathematics Education, 2(2), 132–135.
Rosenberg, D. (1989). Knowledge transfer from one culture to another: HEWET from the Netherlands to Argentina. In C. Keitel, P. Damerov, A. Bishop, & P. Gerdes (Eds.), Mathematics, education and society (Science and Technology Education Document Series, Vol. 35, pp. 82–84). Paris, France: UNESCO.
Sangiorgi, O. (1962). The present status of mathematics teaching in secondary schools in Argentina, Brazil, Chile, Colombia, Costa Rica, Peru, Uruguay and Venezuela. Paris, France: UNESCO.
Schubring, G. (1989). Theoretical categories for investigations in the social history of mathematics education and some characteristic patterns. In C. Keitel, P. Damerov, A. Bishop, & P. Gerdes (Eds.), Mathematics, education and society (Science and Technology Education Document Series, Vol. 35, pp. 6–8). Paris, France: UNESCO.
Schubring, G. (2003). L’Enseignement Mathématique and the First International Commission (IMUK): The emergence of international communication and cooperation. In D. Coray, F. Furinghetti, H. Gispert, B. Hodgson, & G. Schubring (Eds.), One hundred years of L’Enseignement Mathématique: Moments of mathematics education in the twentieth century (pp. 47–66). Geneva, Switzerland: L’Enseignement Mathématique.
Schubring, G. (2008). The origins and the early history of ICMI. International Journal for the History of Mathematics Education, 3(2), 3–33.
Sharygin, I. F. (2004). Obrazovanie i globalizatsiya [Education and globalization]. Novyi mir, 10, 110–125.
Shevkin, L. (2010). Vserossiiskii syezd uchiteley matematiki nachal rabotu [All-Russian Congress of Mathematics Teachers begins]. Retrieved from http://www.shevkin.ru/?action=ShowTheFullNews&ID=522.
Sintsov, D. (1913). Mezhdunarodnaya komissiya po prepodavaniyu matematiki [International Commission on Mathematics Instruction]. In Trudy 1-go vserossiiskogo s’ezda uchiteley matematiki (Vol. 3, pp. 1–19). St. Petersburg, Russia: Sever.
Smith, D. E. (1918, December 10). To the editor of the New York Times. New York Times, p. 3.
Stigler, J. W., & Hiebert, J. (1999). The teaching gap: Best ideas from the world’s teachers for improving education in the classroom. New York, NY: Free Press.
Swetz, F. (1978). Socialist mathematics education. Southampton, PA: Burgundy Press.
Tolstoy, L. N. (1980). Voina i mir [War and peace]. Moscow, USSR: Khudozhestvennaya literatura.
U.S. Census Bureau. (1999). Region and country or area of birth of the foreign-born population. Retrieved from http://www.census.gov/population/www/documentation/twps0029/tab03.html.
Vygotsky, L. S. (1962). Thought and language. Cambridge, MA: M.I.T. Press.
Watson, A. (1993). Russian expectations. Mathematics Teaching, 145, 5–9.
Wilson, B. J. (1978). Change in mathematics education since the late 1950s—Ideas and realization: West Indies. Educational Studies in Mathematics, 9(3), 355–379.
Zaslavsky, C. (1973). Africa counts: Number and pattern in African culture. Boston, MA: Prindle, Weber & Schmidt.
Zikopoulos, M. (Ed.). (1985). Report on international educational exchange. New York, NY: Institute of International Education.
Ziqiang, Z., & Monroe, E. E. (1991). Mathematics education in China today: Four problem areas. Educational Studies in Mathematics, 22, 205–208.
Acknowledgements
The author wishes to express his gratitude to Nerida Ellerton for a useful discussion of the content of this chapter and to the chapter’s reviewers, Kristín Bjarnadόttir and Patricia Cline Cohen, for their comments and suggestions.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2012 Springer Science+Business Media New York
About this chapter
Cite this chapter
Karp, A. (2012). From the Local to the International in Mathematics Education. In: Clements, M., Bishop, A., Keitel, C., Kilpatrick, J., Leung, F. (eds) Third International Handbook of Mathematics Education. Springer International Handbooks of Education, vol 27. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-4684-2_25
Download citation
DOI: https://doi.org/10.1007/978-1-4614-4684-2_25
Published:
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4614-4683-5
Online ISBN: 978-1-4614-4684-2
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)