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Integrating Academic and Practical Knowledge in a Teacher Leaders’ Development Program

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Abstract

This study examines an attempt to encourage integration of knowledge learned in the academy with knowledge learned in practice as a means to challenge educational practitioners’ — teacher leaders and inservice teacher educators — existing conceptions and beliefs, and promote intellectual restructuring. The article centers on two components of the Manor Program for the development of teacher leaders and educators. The first component focuses on expanding academic knowledge, by helping the participants become acquainted with studies on students’ and teachers’ conceptions and ways of thinking in mathematics. The second component focuses on the integration of knowledge learned in the academy with knowledge learned in practice by conducting a mini-study.

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References

  • Amit, M. and Vinner, S.: 1990. ‘Some misconceptions in calculus: Anecdotes or the tip of an iceberg?’, in G. Booker, P. Cobb and T.N. de Mendicuti (eds.), Proceedings of the 14th International Conference for the Psychology of Mathematics Education, Program Committee, Mexico, Vol. 1, pp. 3–10.

    Google Scholar 

  • Arcavi, A., Friedlander, A. and Hershkowitz, R.: 1990, ‘The algebra before algebra’, Mesarim-Misparim (Journal for Mathematics Teachers in Israel), 3 (3), 48–62 (in Hebrew).

    Google Scholar 

  • Arcavi, A. and Schoenfeld, A.H.: 1988, ‘On the meaning of variable’, Mathematics Teacher 81, 420–427.

    Google Scholar 

  • Ball, D.L.: 1990, ‘Examining the subject matter knowledge of prospective mathematics teachers’, Journal for Research in Mathematics Education 21 (2), 132–143.

    Article  Google Scholar 

  • Barnett, C.: 1991, ‘Building a case-based curriculum to enhance the pedagogical content knowledge of mathematics teachers’. Journal of Teacher Education 42 (4), 263–272.

    Article  Google Scholar 

  • Bell, A. and Janvier C.: 1981, ‘The interpretation of graphs representing situations’, For the Learning of Mathematics 2 (1), 34–42.

    Google Scholar 

  • Ben-Zvi, D. and Friedlander, A.: 1997, ‘Statistical thinking in a technological environment’, in J.B. Garfield and G. Burrill (eds.), Proceedings of the International Association for Statistical Education Round Table Conference. International Statistical Institute, Voorburg, The Netherlands, pp. 45–55.

    Google Scholar 

  • Bromme, R. and Tillema, H.: 1995, ‘Fusing experience and theory: The structure of professional knowledge’, Learning and Instruction 5 (4), 261–267.

    Article  Google Scholar 

  • Chinn, C.A. and Brewer, W.F.: 1993, ‘The role of anomalous data in knowledge acquisition: a theoretical framework and implications for science instruction’, Review of Educational Research 63 (1), 1–49.

    Google Scholar 

  • Cobb, P., Wood, T. and Yackel, E.: 1990. ‘Classrooms as learning environments for teachers and researchers’, in R.B. Davis. C.A. Maher and N. Noddings (eds.), Constructivist Views on the Teaching and Learning of Mathematics, National Council of Teachers of Mathematics, Reston, VA, pp. 125–146.

    Google Scholar 

  • Collins, A., Brown, J.S. and Newman, S.E.: 1989, ‘Cognitive apprenticeship: Teaching the crafts of reading, writing, and mathematics’, in L.B. Resnick (ed.), Knowing, Learning, and Instruction, Lawrence Erlbaum, Hillsdale, NJ, pp. 453–493.

    Google Scholar 

  • Desforges, C.: 1995, ‘How does experience affect theoretical knowledge for teaching?’, Learning and Instruction 5 (4), 385–400.

    Article  Google Scholar 

  • Even, R.: 1993, ‘Subject-matter knowledge and pedagogical content knowledge: prospective secondary teachers and the function concept’, Journal for Research in Mathematics Education 24 (2), 94–116.

    Article  Google Scholar 

  • Even, R.: 1994, ‘Tel-Aviv Project for Improving Mathematics Teaching in Junior-High Schools: A Teacher Development Approach (1990–1993)’. Unpublished manuscript, Weizmann Institute of Science, Rehovot, Israel (in Hebrew).

    Google Scholar 

  • Even, R.: 1998, ‘Factors involved in linking representations of functions’, Journal of Mathematical Behavior 17(1), 105–121.

    Google Scholar 

  • Even, R.: ‘The development of teacher-leaders and in-service teacher educators’, Journal for Mathematics Teacher Education,in press.

    Google Scholar 

  • Even, R. and Markovits, Z.: 1993, ‘Teachers’ pedagogical content knowledge of functions: Characterization and applications’, Journal of Structural Learning 12 (1), 35–51.

    Google Scholar 

  • Fennema, E., Carpenter, T., Franke, M., Levi, L., Jacobs. V. and Empson, S.: 1996, ‘A longitudinal study of learning to use children’s thinking in mathematics instruction’, Journal for Research in Mathematics Education 27 (4), 403–434.

    Article  Google Scholar 

  • Hanna, G.: 1990, ‘Some pedagogical aspects of proof’, Interchange 21 (1), 6–13.

    Article  Google Scholar 

  • Hershkowitz, R.: 1990, ‘Psychological aspects of learning geometry’, in P. Nesher and J. Kilpatrick (eds.), Mathematics and cognition, Cambridge University Press, Cambridge, UK, pp. 70–95.

    Chapter  Google Scholar 

  • Hershkowitz, R. and Schwarz, B.B.: 1995. Reflective Processes in a Technology-Based Mathematics Classroom, Paper presented at the annual meeting of the American Educational Research Association, San-Francisco.

    Google Scholar 

  • Küchemann, D.E.: 1981, ‘Algebra’, in K.M. Hart (ed.), Children’s Understanding of Mathematics, John Murray, London, pp. 102–119.

    Google Scholar 

  • Jensen, J.R. and Wagner, S.: 1981, ‘Three perspectives on the process uniformity of beginning algebra students’, in S. Wagner (ed.), Proceedings of the Second Annual Meeting of the PME-NA, Athens, GA, pp. 133–139.

    Google Scholar 

  • Kennedy, M.M.: 1997, ‘The connection between research and practice’, Educational Researcher 26 (7), 4–12.

    Google Scholar 

  • Lampert, M.: 1990, ‘When the problem is not the question and the solution is not the answer: Mathematical knowing and teaching’. American Educational Research Journal 27 (1), 29–63.

    Google Scholar 

  • Lee, L. and Wheeler, D.: 1986, ‘High school students’ conception of justification in algebra’, in G. Lappan and R. Even (eds.), Proceedings of the Seventh Annual Meeting of the PME-NA, East Lansing, MI, pp. 94–101.

    Google Scholar 

  • Leinhardt, G., McCarthy Young, K.M. and Merriman. J.: 1995. ‘Integrating professional knowledge: The theory of practice and the practice of theory’, Learning and Instruction 5 (4), 401–408.

    Article  Google Scholar 

  • Markovits, Z. and Even, R.: in press, ‘Mathematics classroom situations: in-service course for elementary school teachers’, in B. Jaworski, T. Wood and A.J. Dawson (eds.), Mathematics Teacher Education: Critical International Perspectives,Falmer Press, London.

    Google Scholar 

  • National Council of Teachers of Mathematics: 1991. Professional Standards for Teaching Mathematics, Author, Reston. VA.

    Google Scholar 

  • Rhine, S.: 1998, ‘The role of research and teachers’ knowledge base in professional development’, Educational Researcher 27 (5). 27–31.

    Google Scholar 

  • Sfard, A.: 1991, ‘On the dual nature of mathematical conceptions: Reflections on processes and objects as different sides of the same coin’, Educational Studies in Mathematics 22 (1), 1–36.

    Article  Google Scholar 

  • Sfard, A.: 1995, ‘The development of algebra: Confronting historical and psychological perspectives’, Journal of Mathematical Behavior 14. 15–39.

    Article  Google Scholar 

  • Strauss, S. and Shilony, T.: 1994. ‘Teachers’ models of children’s minds and learning’, in I. Hirschfeld and S.A. Gelman (eds.), Mapping the Mind: Domain Specificity in Cognition and Culture, Cambridge University Press, Cambridge, pp. 455–473.

    Chapter  Google Scholar 

  • Tall, D.O. and Schwarzenberger, R.L.E.: 1978. ‘Conflicts in the learning of real numbers and limits’, Mathematics Teaching 82, 44–49.

    Google Scholar 

  • Tirosh, D. and Graeber, A.: 1990, ‘Inconsistencies in preservice teachers’ beliefs about multiplication and division’, Focus on Learning Problems in Mathematics 12, 65–74.

    Google Scholar 

  • Vinner, S. and Dreyfus, T.: 1989. ‘Images and definitions for the concept of function’, Journal for Research in Mathematics Education 20. 356–366.

    Article  Google Scholar 

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© 1999 Springer Science+Business Media Dordrecht

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Even, R. (1999). Integrating Academic and Practical Knowledge in a Teacher Leaders’ Development Program. In: Tirosh, D. (eds) Forms of Mathematical Knowledge. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-1584-3_11

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  • DOI: https://doi.org/10.1007/978-94-017-1584-3_11

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-5330-5

  • Online ISBN: 978-94-017-1584-3

  • eBook Packages: Springer Book Archive

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