This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
AMS (1994). National policy statement 1994–1995. Notices of the American Mathematical Society, 41, 435–441.
Bell, M.S., Fuson, K.C. and Lesh, R.A. (1976). Algebraic and Arithmetic Structures: A Concrete Approach for Elementary School Teachers. New York: The Free Press.
Borel, É. (1914). Ľadaptation de ľenseignement secondaire aux progrés de la science. ĽEnseignement Mathématique, 16, 198–210.
Brown, C.A. and Borko, H. (1992). Becoming a mathematics teacher. In D.A. Grouws (Ed.), Handbook of Research on Mathematics Teaching and Learning, pp. 209–239. New York: Macmillan.
Cassidy, C. and Hodgson, B.R. (1982). Résolution élémentaire de problémes. For the Learning of Mathematics, 2(3), 24–28.
Cassidy, C. and Hodgson, B.R. (1993). Because a door has to be open or closed: an intriguing problem solved by some inductive exploration. In S.I. Brown and M.I. Walter (Eds.), Problem Posing: Reflections and Applications, pp. 222–228. Hillsdale: Lawrence Erlbaum Associates. (Reprinted from Mathematics Teacher, 75 (1982) 155–158.)
Fennema, E. and Franke, M.L. (1992). Teachers’ knowledge and its impact. In: D.A. Grouws (Ed.), Handbook of Research on Mathematics Teaching and Learning, pp. 147–164. New York: Macmillan.
Furinghetti, F. (2000). The history of mathematics as a coupling link between secondary and university teaching. International Journal of Mathematical Education in Science and Technology, 31, 43–51.
Gauss, C.F. (1802). Excerpt from a letter to Wilhelm Olbers. Quoted in M. Kline (1977), Why the Professor Can’t Teach, p. 87. New York: St. Martin’s Press.
Graf, K.-D. and Hodgson, B.R. (1998). The computer as a context for new possible geometrical activities. In C. Mammana and V. Villani (Eds.), Perspectives on the Teaching of Geometry for the 21st Century: An ICMI Study, pp. 144–158. Dor: Kluwer Academic Publishers. (New ICMI Studies Series, Volume 5.)
Grossman, P.L., Wilson, S.M. and Shulman, L.S. (1989). Teachers of substance: subject matter knowledge for teaching. In M.C. Reynolds (Ed.), Knowledge Base for the Beginning Teacher, pp. 23–36. Oxford: Pergamon.
Guzmán, M. de (1993). El papel del matemático frente a los problemas de la educatián matemática. X Semana de Metodología de las Matemáticas, pp. 9–20. Madrid: Facultad de Matemáticas, Universidad Complutense de Madrid.
Hardy, G.H. (1967). A Mathematician’s Apology. Cambridge: Cambridge University Press.
Hardy, G.H. and Wright, E.M. (1979). An Introduction to the Theory of Numbers. (5th edition) Oxford: Oxford University Press.
Hauchecorne, B. and Suratteau, D. (1996). Des mathématiciens de A à Z. Paris: Ellipses.
Hodgson, B.R. (1987). La géométrie du kaleidoscope. Bulletin de l’Association mathématique du Québec, 27(2), 12–24. (Reprinted in (1988) Plot (Supplément: Symétrie—dossier pédagogique) 42, 25–34.)
Hodgson, B.R. and Graf, K.-D. (2000). Visions kaléidoscopiques. In R. Pallascio et G. Labelle (Eds.), Mathématiques d’hier et d’aujourd’hui, pp. 130–145. Montr’al: Modulo.
Howson, A.G. (1984). Seventy-five years of the International Commission on Mathematical Instruction. Educational Studies in Mathematics, 15, 75–93.
Kahane, J.-P. (1988). La grande figure de Georges Pólya. In A. Hirst and K. Hirst (Eds.), Proceedings of the Sixth International Congress on Mathematical Education, pp. 79–97. Budapest: János Bolyai Mathematical Society.
Kahane, J.-P. (1997). Preface. In F. Klein, Leçons sur certaines questions de Géométrie Élémentaire pp. i–iii. Paris: Diderot.
Kilpatrick, J. (1987). Is teaching teachable? George Pólya’s views on the training of mathematics teachers. In F.R. Curcio (Ed.), Teaching and Learning: A Problem-solving Focus, pp. 85–97. Reston, VA: National Council of Teachers of Mathematics.
Klein, F. (1897). Famous Problems of Elementary Geometry. Boston and London: Ginn.
Klein, F. (1932). Elementary Mathematics from an Advanced Standpoint: Arithmetic. Algebra, Analysis. New York: Macmillan.
Klein, F. (1939). Elementary Mathematics from an Advanced Standpoint: Geometry. New York: Macmillan.
Lehto, O. (1998). Mathematics without Borders: A History of the International Mathematical Union. Berlin: Springer-Verlag.
Leitzel, J.R.C. (Ed.), (1991). A Call for Change: Recommendations for the Mathematical Preparation of Teachers of Mathematics. Washington: Mathematical Association of America, Committee on the Mathematical Education of Teachers (COMET).
Ma, L. (1999). Knowing and Teaching Elementary Mathematics: Teachers’ Understanding of Fundamental Mathematics in China and in the United States. Mahwah: Lawrence Erlbaum Associates.
Moise, E.E. (1984). Mathematics, computation, and psychic intelligence. In V.P. Hansen and M.J. Zweng (Eds.), Computers in Mathematics Education (1984 Yearbook), pp. 35–42. Reston, VA: National Council of Teachers of Mathematics.
Morris, R. (Ed.), (1984). Studies in Mathematics Education. Volume 3: The Mathematical Education of Primary School Teachers. Volume 4: The Mathematical Education of Secondary School Teachers. Paris: UNESCO.
NCTM (1991). Professional Standards for Teaching Mathematics. Reston, VA: National Council of Teachers of Mathematics.
Pólya, G. (1957). How to Solve It: A New Aspect of Mathematical Method. (2nd edition) Princeton: Princeton University Press.
Pólya, G. (1959). Ten commandments for teachers. Reprinted in: G.-C. Rota (Ed.), George Pólya: Collected Papers, (Volume 4, pp. 525–533). Cambridge: MIT Press.
Pólya, G. (1981). Mathematical Discovery: On Understanding, Learning and Teaching Problem Solving. (Combined edition) New York: Wiley.
Rademacher, H. (1983). Higher Mathematics from an Elementary Point of View. Boston: Birkhäuser.
Rademacher, H. and Toeplitz, O. (1957). The Enjoyment of Mathematics: Selections from Mathematics for the Amateur. Princeton: Princeton University Press.
Rosen, K.H. (1988). Elementary Number Theory and Its Applications. (2nd edition) Reading: Addison-Wesley.
Sierpinska, A. and Kilpatrick, J. (1998). Mathematics Education as a Research Domain: A Search for Identity: An ICMI Study (2 volumes). Dordrecht: Kluwer Academic Publishers. (New ICMI Studies Series, Volume 4.)
Smith, D.E. (1905). Réformes à accomplir dans ľenseignemem des mathématiques—Opinion. ĽEnseignement Mathématique, 7, 469–471.
Steen, L.A. (1990). Pattern. In L.A. Steen (Ed.), On the Shoulders of Giants: New Approaches to Numeracy, pp. 1–10. Washington: National Academy Press.
Swafford, J.O. (1995). Teacher preparation. In I.M. Carl (Ed.), Prospects for School Mathematics, pp. 157–174. Reston, VA: National Council of Teachers of Mathematics.
Thurston, W.P. (1990). Mathematical education. Notices of the American Mathematical Society, 37, 844–850.
Wittgenstein, L. (1978). Remarks on the Foundations of Mathematics. (3rd edition) Oxford: Basil Blackwell.
Wittmann, E.C. (2001). The alpha and omega of teacher education: Organizing mathematical activities, this volume, pp. 539–551.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2001 Kluwer Academic Publishers
About this chapter
Cite this chapter
Hodgson, B.R. (2001). The Mathematical Education of School Teachers: Role and Responsibilities of University Mathematicians. In: Holton, D., Artigue, M., Kirchgräber, U., Hillel, J., Niss, M., Schoenfeld, A. (eds) The Teaching and Learning of Mathematics at University Level. New ICMI Study Series, vol 7. Springer, Dordrecht. https://doi.org/10.1007/0-306-47231-7_43
Download citation
DOI: https://doi.org/10.1007/0-306-47231-7_43
Publisher Name: Springer, Dordrecht
Print ISBN: 978-0-7923-7191-5
Online ISBN: 978-0-306-47231-2
eBook Packages: Springer Book Archive