Journal of Mathematics Teacher Education

, Volume 8, Issue 5, pp 419–436 | Cite as

A Spiral Task as a Model for In-service Teacher Education

  • Michael N. FriedEmail author
  • Miriam Amit
Mathematics Teacher Education around the World


The spiral approach has long been used by curriculum designers to deepen students’ knowledge of scientific and mathematical concepts and to bring students to higher levels of abstraction. The benefits of a spiral approach, however, can also be extended to teacher education. This paper describes a spiral activity employed by the Kidumatica program not only to raise the level of teachers’ content knowledge, but also to promote discussion and collaboration among teachers teaching at different grade levels. The activity was designed to take a single problem situation and develop it in ways appropriate to the different grade levels. At each stage, the teachers are encouraged to discuss teaching approaches required by the students at each grade level and the relationships between the different stages of the development.


community of practice in-service spiral-curriculum spiral-task 


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  1. Aldridge, B. 1992Project of scope, sequence and coordination: A new synthesis for improving science education. scope, sequence, and coordination of secondary school science, 2. relevant researchNational Science Teachers AssociationWashington, D.CGoogle Scholar
  2. Amit, M. 2000Teaching mathematics in a diverse societyAhmed, Honor, Kraemer,  eds. Cultural diversity in mathematics (education): CIEAEM51Horwood PublishingChichester385389Google Scholar
  3. Amit, M., Fried, M.N. 2002Research, Reform, and Times of ChangeEnglish,  L. eds. Handbook of international research in mathematics educationLawrence Erlbaum Associates Inc. PublishersMahwah, New Jersey355382Google Scholar
  4. Amit, M., Hillman, S. 1999Changing mathematics instruction and assessment: Challenging teachers’ conceptionsJaworski, B.Wood, T.Dawson, S. eds. Mathematics teacher education: Critical international perspectivesFalmer PressLondon1725Google Scholar
  5. Ball, D., Bass, H. 2000Interweaving content and pedagogy in teaching and learning to teach: Knowing and using mathematicsBoaler, J. eds. Multiple perspectives on mathematics teaching and learningAblex PublishingWestport, CT83104Google Scholar
  6. Britt, M.S., Irwin, K.C., Ritchie, G. 2001Professional conversations and professional growthJournal of Mathematics Teacher Education42953CrossRefGoogle Scholar
  7. Brown, S.I., Walter, M. 1990The art of problem posingLawrence Erlbaum and Associates, and LondonHillsboro, N.J.Google Scholar
  8. Bruner, J.S 1960The process of educationHarvard University PressCambridge, MassGoogle Scholar
  9. DeBoer, G. 1991A history of ideas in science education: Implications for practiceTeachers College PressNew YorkGoogle Scholar
  10. Giménez, J.FitzSimons, G.E.Hahn, C. eds. 2004A challenge for mathematics educations: To reconcile commonalities and differences: Proceedings of CIEAEM 54GraóBarcelonaGoogle Scholar
  11. Horn, R.A 2000Teacher talk: A postformal inquiry into educational changeP. LangNew YorkGoogle Scholar
  12. Jenlink, P., Carr, A.A. 1996Conversation as a medium for change in educationEducational Technology363138Google Scholar
  13. Lave, J., Wenger, E. 1991Situated learning: Legitimate peripheral participationCambridge University PressCambridgeGoogle Scholar
  14. Louzoun, D., Amit, M., Ceaushu, C., Fried, M., Kapulnick, E., Perry, J., Sataniov, P., Zeltser, I., Weitsman, G. 2000Pratique en classe ou formation intellectuelle: Appréhensions différentes entre enseignants et enseignés dans la formation permanenteAhmed, A.Kraemer, J.M.Williams, H. eds. Cultural diversity in mathematics (education): CIEAEM51Horwood PublishingChichester139143Google Scholar
  15. Roth, W.M. 1998Designing communitiesKluwerBostonGoogle Scholar
  16. Schmidt, W.H., McKnight, C.C., Raizen, S.A. 1996A splintered vision: An investigation of U.S. science and mathematics educationKluwer Academic PublishersDordrecht, The NetherlandsGoogle Scholar
  17. Stigler, J.W, Hiebert, J. 1999The teaching gapFree PressNew YorkGoogle Scholar
  18. Zaslavsky, O., Leikin, R. 2004Professional development of mathematics teacher educators: Growth through practiceJournal of Mathematics Teacher Education7532CrossRefGoogle Scholar

Copyright information

© Springer 2005

Authors and Affiliations

  1. 1.Graduate Program for Science and Technology EducationBen Gurion University of the NegevBeer ShevaIsrael

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