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What Is Important in a Lesson on Factorisation? The Reflection of an Experienced Teacher in Hong Kong

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Cases of Mathematics Professional Development in East Asian Countries

Part of the book series: Mathematics Teacher Education ((MTEN,volume 10))

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Abstract

Factorisation is a fundamental topic in school algebra but also a challenging topic for teachers to teach and students to learn. This chapter highlights what an experienced teacher valued in the teaching of factorisation. A competent Hong Kong teacher, Teacher-HK, was invited to comment on his lesson by the video-stimulated recall technique. The analysis was based on the interviews with Teacher-HK unfolding his strategy for helping his secondary 2 (14+) students learn about the complexities associated with the learning of factorisation of linear and quadratic expressions and also the rationalisation for his actions. Finally, how the example may benefit teacher professional development is discussed.

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References

  • Artzt, A. F., & Armour-Thomas, E. (1999). A cognitive model for examining teachers’ instructional practice in mathematics: A guide for facilitating teacher reflection. Educational Studies in Mathematics, 40(3), 211–235.

    Article  Google Scholar 

  • Artzt, A. F., & Armour-Thomas, E. (1998). Mathematics teaching as problem solving: A framework for studying teacher metacognition underlying instructional practice in mathematics. Instructional Science, 26, 5–25.

    Article  Google Scholar 

  • Ball, D. L., Hill, H. C., & Bass, H. (2005). Knowing mathematics for teaching: Who knows mathematics well enough to teach third grade, and how can we decide? American Educator, 29(3), 14–22, 43–46.

    Google Scholar 

  • Berliner, D. C. (1986). In pursuit of the expert pedagogue. Educational Researcher, 15(7), 5–13.

    Article  Google Scholar 

  • Borko, H., Jacobs, J., Eiteljorg, E., & Pittman, M. E. (2008). Video as a tool for fostering productive discussions in mathematics professional development. Teaching and Teacher Education, 24(2), 417e436.

    Article  Google Scholar 

  • Calandra, B., Gurvitch, R., & Lund, J. (2008). An exploratory study of digital video editing as a tool for teacher preparation. Journal of Technology and Teacher Education, 16(2), 137e153.

    Google Scholar 

  • Clarke, D., Emanuelsson, J., Jablonka, E., & Mok, I. A. C. (Eds.). (2006). Making connections: Comparing mathematics classrooms around the world. Rotterdam: Sense Publishers B.V.

    Google Scholar 

  • Education Department, Hong Kong. (1999). Syllabuses for secondary schools. Mathematics (Secondary 1 to 5). Access at http://www.edb.gov.hk/en/curriculum-development/kla/ma/curr/sec-math-1999.html

  • Fennema, E., & Franke, M. L. (1992). Teachers’ knowledge and its impact. In D. Grouws (Ed.), Handbook of research on mathematics teaching and learning (pp. 147–164). New York: Macmillan Publishing Company.

    Google Scholar 

  • Jackson, P. W. (1968). Life in classrooms. New York: Holt, Rinehart & Winston.

    Google Scholar 

  • Lampert, M., Beasley, H., Ghousseini, H., Kazemi, E., & Franke, M. (2010). Using designed instructional activities to enable novices to manage ambitious mathematics teaching. In Instructional explanations in the disciplines (pp. 129–141). New York: Springer.

    Chapter  Google Scholar 

  • Leinhardt, G., & Greeno, J. G. (1986). The cognitive skill of teaching. Journal of Educational Psychology, 78(2), 75.

    Article  Google Scholar 

  • Leinhardt, G., Putnam, R. T., Stein, M. K., & Baxter, J. (1991). Where subject knowledge matters. In J. E. W. Brophy (Ed.), Advances in research on teaching: Teachers’ subject matter knowledge and classroom instruction (Vol. 2, pp. 87–113). Greenwich, CT: JAI Press.

    Google Scholar 

  • Loughran, J. J. (2002). Effective reflective practice: In search of meaning in learning about teaching. Journal of Teacher Education, 53(1), 33–43.

    Article  Google Scholar 

  • Mok, I. A. (2010a). Students’ algebra sense via their understanding of the distributive law. Pedagogies: An International Journal, 5(3), 251–263.

    Article  Google Scholar 

  • Mok, I. A. C. (2010b). Towards a reflective practice: The case of a prospective teacher in Hong Kong. Journal of Mathematics Education, 3(2), 25–39.

    Google Scholar 

  • Peterson, P. L. (1988). Teachers’ and students’ cognitional knowledge for classroom teaching and learning. Educational Researcher, 17(5), 5–14.

    Article  Google Scholar 

  • Shulman, L. S. (1986). Those who understand: Knowledge growth in teaching. Educational Researcher, 15(2), 4–14.

    Article  Google Scholar 

  • Usiskin, Z. (1988). Conceptions of school algebra and uses of variables. In A. Coxford (Ed.), The ideas of algebra, K–12 (1988 Yearbook, pp. 8–19). Reston, VA: National Council of Teachers of Mathematics.

    Google Scholar 

  • Yang, X., & Leung, F. K. (2013). Conception of expert mathematics teacher: A comparative study between Hong Kong and Chongqing. ZDM, 45(1), 121–132.

    Article  Google Scholar 

  • Zhang, M., Lundeberg, M., Koehler, M. J., & Eberhardt, J. (2011). Understanding affordances and challenges of three types of video for teacher professional development. Teaching and Teacher Education, 27(2), 454–462.

    Article  Google Scholar 

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Correspondence to Ida Ah Chee Mok .

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Mok, I.A.C. (2015). What Is Important in a Lesson on Factorisation? The Reflection of an Experienced Teacher in Hong Kong. In: Ng, S. (eds) Cases of Mathematics Professional Development in East Asian Countries. Mathematics Teacher Education, vol 10. Springer, Singapore. https://doi.org/10.1007/978-981-287-405-4_9

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