Skip to main content

Didactics of Mathematics and the Professional Knowledge of Teachers

  • Chapter
Book cover International Handbook of Mathematics Education

Part of the book series: Kluwer International Handbooks of Education ((SIHE,volume 4))

Abstract

This chapter will deal with the problem of the relationships between didactics of mathematics as a rapidly developing field of investigation and the professional knowledge of mathematics teachers as an individual and social construction. We will focus on teachers’ pre-service and in-service education as the situations where systematic contacts may be established between research in didactics of mathematics and the construction of teachers’ professional knowledge.

We will discuss present difficulties in establishing a productive relationship between teachers’ education and different strands of research in didactics of mathematics, and different perspectives about how to establish such a relationship.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 789.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 999.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 999.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Arsac, J., Balacheff, N. & Mante, M.: 1991, ‘The teachers’ role and the reproducibility of didactical situations’, Educational Studies in Mathematics, 23, 5–29

    Article  Google Scholar 

  • Artigue, M.:1990, ‘Ingénierie didactique’, Recherches en didactique des mathématiques, 9, 281–308

    Google Scholar 

  • Arzarello, F., Bartolini Bussi, M.G.: 1994, Italian trends of research in mathematics education: elements for a case study, paper presented at the ICMI Study Conference on 4 ‘What is research in mathematics education and what are its results’, University of Maryland

    Google Scholar 

  • Balacheff, N., 1990, ‘Future Perspectives for Research in the Psychology of Mathematics Education’, in Nesher, P. & Kilpatrick, J. (eds.), Mathematics and Cognition,-Cambridge University Press, 13 5–147

    Google Scholar 

  • Barra, M.; Ferrari, M.; Furinghetti, F.; Malara, N.; Speranza, F.(eds.), 1992, The Italian Research in Mathematics Education: Common Roots and Present Trends, T.I.D. - C.N.R., Quad. 12

    Google Scholar 

  • Bartolini Bussi, M.G.: 1991, ‘Social Interaction and Mathematical Knowledge’, in Boero, P. et al. (eds) Proceedings of PME-XV, Assisi, vol.I, 1–16

    Google Scholar 

  • Bartolini Bussi, M.G.: 1994, ‘Theoretical and empirical approaches to classroom interaction’, in Biehler et al. (eds.), Didactics of mathematics as a scientific discipline, Kluwer, Dordrecht, 121–132

    Google Scholar 

  • Belcastro, A.; Guala, E.; Parenti, L.: 1986, ‘Un’ esperienza di aggiornamento su probabilità e statisticarivolta a insegnanti di scuola media…’, L’ins. della mat. e dellesc. int., vol.9, 5–70

    Google Scholar 

  • Bishop, A.: 1988, Mathematical Enculturation, Kluwer Academic Publishers, Dordrecht

    Book  Google Scholar 

  • Boero, P.: 1989 a, ‘Semantic fields suggested by history: their function in the acquisition of mathematical concepts’, Zentralblatt fur Didaktik der Mathematik, 20, 128–133

    Google Scholar 

  • Boero, P.: 1989 b, ‘Mathematical Literacy for All: Experiences and Problems’, Vergnaud, G. et al. (eds.), Proceedings of PME-XIII, Paris, vol. I, 62–76

    Google Scholar 

  • Boero, P.: 1993, ‘Situations didactiques et problèmes d’apprentissage: convergences et divergences dans les perspectives de recherche’, in Artigue, M.; Gras, R.; Laborde, C; Tavignot, P. (eds.), Vingt ans de didactique des mathématiques en France, La Pensée Sauvage, Grenoble, 17–50

    Google Scholar 

  • Boero, P.; Szendrei, J.: 1992, ‘The problem of motivating pupils to learn mathematics’, Weinzweig, I. et al. (eds.), Students confronted to Mathematics -Proceedings of CIEAEM- 42, Chicago, 226–240

    Google Scholar 

  • Boero, P.; Szendrei, J.: 1994, ‘Research and results in mathematics education: some contra-dictory aspects’, paper presented at the ICMI Study Conference on ‘What is research in mathematics education and what are its results’, University of Maryland

    Google Scholar 

  • Borasi, R.: 1992, Learning Mathematics Through Inquiry, Heinemann, Portsmouth, NH

    Google Scholar 

  • Borasi, R.; Fonzi, J.; Rose, B.: 1994, ‘Teaching mathematics in inclusive classrooms: a project integrating theory and practice for researchers, teachers and students in the USA’, in Bazzini, L. (ed.), Proceedings SCTP-V, Grado, 47–55

    Google Scholar 

  • Bottino, R. M., Furinghetti F.: 1992, The emerging of teacher’s conception on new topics inserted in mathematics programs: the case of computer science, paper presented at the ICME 7 Conference, WG 17, Quebec

    Google Scholar 

  • Bottino R. M., Furinghetti F., 1994, ‘Teacher education, problems in mathematics teaching and the use of didactic packages’, in Tilson, J., Warson, D. (eds), Proceedings of IFIP Working Group 3.1 (Barcelona) (in press).

    Google Scholar 

  • Bottino R. M., Furinghetti F.: 1994b, ‘Teaching mathematics and using computers: links between teachers’ beliefs in two different domains’, in Ponte J. P., Matos J. F. (eds), Proceedings of PME XVIII, Lisboa, vol. 2, 112–119

    Google Scholar 

  • Brousseau, G.: 1980, ‘Problèmes de l’enseignement des décimaux’, Recherches en didactique des mathématiques 1, 11–59

    Google Scholar 

  • Brousseau, G.: 1981, ‘Problèmes de didactique des décimaux’, Recherches en didactique des mathématiques 2, 37–127

    Google Scholar 

  • Brousseau, G.: 1983, ‘Les obstacles épistemologiques et les problèmes en mathématiques’, Recherches en didactique des mathématiques 4, 165–198

    Google Scholar 

  • Brousseau, G.: 1986, Théorisation des phénomènes d’enseignement des mathématiques, thése d’Etat, Université de Bordeaux I

    Google Scholar 

  • Brown, S. I.; Cooney, T.J. & Jones, D.: 1990, ‘Mathematics teacher education’, in Houston, W. R.(ed.): Handbook of research on teacher education, MacMillan, New York, 639–656

    Google Scholar 

  • Carpenter, T.P. & Fennema, E.: 1989, ‘Building of knowledge of students and teachers’, Vergnaud, G. et al. (eds.), Proceedings of PME-XIII, Paris, vol. I, 34–45

    Google Scholar 

  • Carraher, T., 1988: ‘Street mathematics and school mathematics’, Borbas, A. et al. (eds) Proc.of PME-XII, OOK- Vezsprem, vol. 1, 1–23

    Google Scholar 

  • Chevallard, Y.:1991, La transposition didactique, La pensée sauvage, Grenoble (II Ed.)

    Google Scholar 

  • Chevallard, Y.: 1992, ‘Concepts fondamentaux de la didactique: perspectives apportées par une approche anthropologique’, Recherches en didactique des mathématiques - 12, 73–112

    Google Scholar 

  • Chiappini, G.P.; Parenti, L.: 1991, ‘Insegnanti, Didattica, Calcolatore: analisi di una esperienza di aggiornamento rivolta ad insegnanti di matematica delia scuola media’, L’ins. della mat. e delle sc. int., 14, 337–354

    Google Scholar 

  • Chiappini, G.P.; Laviosa, L.; Parenti, L.:1990, ‘Enseignants et formateurs d’enseignants face au defi informatique: analyse d’une experience de formation en service’, in Ciosek, M. (ed.), The teacher of mathematics in the changing world - Proceedings CIEAEM-42, Szc-zyrk, 71–78

    Google Scholar 

  • Ciosek, M. (ed.): 1990, The teacher of mathematics in the changing world - Proceedings CIEAEM-42, Szczyrk, Poland

    Google Scholar 

  • Clements, M.A.; Ellerton, N. (eds.): 1989, School Mathematics: The Challenge to Change, Geelong Deakin University

    Google Scholar 

  • Cobb, P.; Wood, T. & Yackel, E.: 1990, ‘Classrooms as learning environments for teachers and researchers’, Journal for Research in Mathematics Education, Monograph No. 4, 125–146

    Google Scholar 

  • Cooney, T. J.: 1994, On the application of science to teaching and teacher education, in Biehler & al.(eds.), Didactics of mathematics as a scientific discipline, Kluwer, Dordrecht, 103–116

    Google Scholar 

  • Cooney, T. J.: 1994, ‘Teacher education as a crucible for systematic cooperation between theory and practice’, in Bazzini, L. (editor) Proceedings of SCTP-V, Grado, 67–80

    Google Scholar 

  • Dapueto, C., Ghio S., Pesce G.: 1994, Statistica e Probabilità nel biennio: nodi culturali e didattici da affrontare, parte 1a e parte 2a, L’insegnamento della matematica e delle scienze integrate, 17 B, 309–316

    Google Scholar 

  • Dapueto, C., Ghio S., Pesce G.: 1994, Statistica e Probabilità nel biennio: nodi culturali e didattici da affrontare, parte 1a e parte 2a, L’insegnamento della matematica e delle scienze integrate, 17 B, 357–384

    Google Scholar 

  • Dapueto, C. & Ferrari, P.L.: 1983, ‘On some recent contributions on the philosophy of mathematics’, Proceedings 7th International Congress of Logica, Methodology and Philosophy of Mathematics, Salzburg, vol. 6, 55–56

    Google Scholar 

  • Davis, P. J. & Hersh, R.: 1980, The mathematical experience, Birkhauser

    Google Scholar 

  • Douady, R.: 1984, Jeux de cadres et dialectique outil-objet, thèse d’Etat, Université Paris VII

    Google Scholar 

  • Even R.: 1990, Subject matter knowledge for teaching and the case of functions, Educational Studies in Mathematics, 21, 521–544

    Article  Google Scholar 

  • Freudenthal, H.: 1978, Weeding and Sowing, D.Reidel, Dordrecht.

    Google Scholar 

  • Eisenhart, M.A.:1988, ‘The Etnographic Research Tradition and the Mathematics Education Research’, Journal for Research in Mathematics Education 19, 99–114

    Article  Google Scholar 

  • Furinghetti, F.: 1994, ‘Ghosts in the classroom: beliefs, prejudices and fears’, in Bazzini, L. (ed.) Proceedings of SCTP-V, Grado, 81–91

    Google Scholar 

  • Goodman, N.D.: 1980, ‘Mathematics as an objective science’, Am. Math. Monthly, 86, 540–551

    Article  Google Scholar 

  • Houston, W. R.(ed.): 1990, Handbook of research on teacher education, New York, MacMillan

    Google Scholar 

  • Hoyles, C: 1992, ‘Illuminations and reflections: teachers, methodologies and mathematics’, Geeslin, W., Graham, K. (eds.) Proceedings PME-XVI, Durham, N.H.,vol. III, 263–286

    Google Scholar 

  • Jaworski, B.: 1994, Investigating Mathematics Teaching, Falmer Press

    Google Scholar 

  • Keitel, C.: 1986, ‘Social needs in secondary mathematics education’, Bowie, P. (ed.) Mathematics for those between 14 and 17, is it really necessary?-Proceedings CIEAEM-38, Southampton, 52–64

    Google Scholar 

  • Kilpatrick, J.: 1992, ‘A history of research in mathematics education’, in D. A. Grows (Ed.), Handbook of Research on Mathematics Teaching and Learning, Macmillan, New York.

    Google Scholar 

  • Kline, M.: 1980, Mathematics. The loss of certainty, Oxford University Press

    Google Scholar 

  • Krainer, K.: 1994, ‘Integrating research and teacher in-service education as a means of mediating theory and practice in mathematica education’, in Bazzini, L. (ed.) Proceedings of SCTP-V, Grado, 121–132

    Google Scholar 

  • Laborde, C.: 1988, ‘L’enseignement de la géométrie en tant que terrain d’exploration de phénomènes didactiques’, Recherches en didactique des mathématiques 9, 337–364

    Google Scholar 

  • Lakatos, I. (ed.): 1967, Problems in the philosophy of mathematics, North Holland, Amsterdam

    Google Scholar 

  • Lerman, S.: 1990, ‘The role of research in the practice of mathematics education’, For the Learning of Mathematics, 10, 25–28

    Google Scholar 

  • Mac Lane, S.: 1981, Mathematical models: a sketch for the philosophy of mathematics, Am. Math. Monthly, 88, 462–472

    Article  Google Scholar 

  • NCTM (National Council of Teachers of Mathematics), 1991: Professional Standards for Teaching Mathematics, NCTM, Reston, VA

    Google Scholar 

  • Ponte, J.P.; Matos, J.P.; Guimaraes, H.M.; Leal, L.C. & Canavaro, A.P.: 1994, Teachers’ and students’ views and attitudes towards a new mathematics curriculum: a case study, Educational Studies in Mathematics, 26, 347–366

    Article  Google Scholar 

  • Robert, A.: 1992, ‘Problèmes méthodologiques en didactique des mathématiques’, Recherches en didactique des mathématiques 12, 33–58

    Google Scholar 

  • Sierpinska, A.: 1985, ‘Obstacles épistémologiques relatifs à la notion de limite’, Recherches en didactique des mathématiques 6, 5–67

    Google Scholar 

  • Sierpinska, A.: 1987, ‘Humanities students and epistemological obstacles relative to limits’, Educational Studies in Mathematics 18, 371–397

    Article  Google Scholar 

  • Silver, E. A.: 1994, ‘Mathematical thinking and reasoning for all students: moving from rhetoric to reality’, in Robitaille, D.F.; Wheeler, D.H.; Kieran, C.(eds.), Selected Lectures from the 7th Congress on Mathematics Education, 311–326

    Google Scholar 

  • Simon, M.A., Schifter, D.: ‘Towards a constructivist perspective: the impact of a mathematics teacher inservice program on students’ Educational Studies in Mathematics, 25, 331–340

    Google Scholar 

  • Simon, M.A.: 1994, ‘Learning mathematics and learning to teach: learning cycles in mathematics teacher education’, Educational Studies in Mathematics, 26, 71–94

    Article  Google Scholar 

  • Steen, L.A. (ed.): 1978, Mathematics today: twelve informal essays, Springer, New York

    Google Scholar 

  • Steiner, H.G.: 1984, Theory of Mathematics Education, Occasional Paper 54,1.D.M. Bielefeld

    Google Scholar 

  • Swart, E.R.: 1980, ‘The philosophical implications of the four-color problem’, Am. Math. Monthly, 87, 697–787

    Article  Google Scholar 

  • Wittman, E.C.: 1989, ‘The mathematical training of teachers from the point of view of education’, Zentralblatt fur Didaktik der Mathematik, 10, 291–308

    Google Scholar 

  • Wittman, E.C.: 1991, ‘From inservice-courses to systematic cooperation between teachers and researchers’, Zentralblatt fur Didaktik der Mathematik, 23, 158–160

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1996 Kluwer Academic Publishers

About this chapter

Cite this chapter

Boero, P., Dapueto, C., Parenti, L. (1996). Didactics of Mathematics and the Professional Knowledge of Teachers. In: Bishop, A.J., Clements, K., Keitel, C., Kilpatrick, J., Laborde, C. (eds) International Handbook of Mathematics Education. Kluwer International Handbooks of Education, vol 4. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-1465-0_30

Download citation

  • DOI: https://doi.org/10.1007/978-94-009-1465-0_30

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-7155-0

  • Online ISBN: 978-94-009-1465-0

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics