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Exemplary Practices of Mathematics Teachers

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Mathematics Education in Singapore

Part of the book series: Mathematics Education – An Asian Perspective ((MATHEDUCASPER))

Abstract

In the first section of this chapter, we review the growing literature on “practices”, focusing on the purpose of studying teacher practices in actual classrooms in view of its potential in teacher professional development. Following that, we zoom in to the Singapore situation by reviewing other studies here on mathematics teacher practices. In the second section, we describe an ongoing project and its contribution to research on exemplary practices of Singapore mathematics teachers. In the final section, we discuss the usefulness of this review in relation to the effort of building portraits of Singapore mathematics teacher practices.

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References

  • Ball, D. L., Sleep, L., Boerst, T., & Bass, H. (2009). Combining the development of practice and the practice of development in teacher education. Elementary School Journal, 109(5), 458–474.

    Article  Google Scholar 

  • Barkatsas, A. N., & Hunting, R. (1996). A review of recent research on cognitive, metacognitive and affective aspects of problem solving. Nordic Studies in Mathematics Education, 4(4), 7–30.

    Google Scholar 

  • Boaler, J. (2002). Learning from teaching: Exploring the relationship between reform curriculum and equity. Journal for Research in Mathematics Education, 33(4), 239–258.

    Article  Google Scholar 

  • Clarke, D. J. (1998). Studying the classroom negotiation of meaning: Complementary accounts methodology. In A. Teppo (Ed.), Qualitative research methods in mathematics education, monograph number 9 of the Journal for Research in Mathematics Education (pp. 98–111). Reston, VA: NCTM.

    Google Scholar 

  • Clarke, D., Keitel, C., & Shimizu, Y. (2006). The Leaner’s perspective study. In D. Clarke, C. Keitel, & Y. Shimizu (Eds.), Mathematics classrooms in twelve countries: The Insider’s perspective (pp. 1–14). The Netherlands, Rotterdam: Sense Publishers.

    Google Scholar 

  • Cobb, P., Perlwitz, M., & Underwood-Gregg, D. (1998). Individual construction, mathematical acculturation, and the classroom community. In M. Larochelle, N. Bednarz, & J. Garrison (Eds.), Constructivism in education (pp. 63–80). Cambridge, UK: Cambridge University Press.

    Chapter  Google Scholar 

  • Doabler, C. T., Baker, S. K., Kosty, D. B., Smolkowski, K., Clarke, B., Miller, S. J., et al. (2015). Examining the association between explicit mathematics instruction and student mathematics achievement. The Elementary School Journal, 115(3), 303–333.

    Article  Google Scholar 

  • Gersten, R., & Carnine, D. (1984). Direct instruction mathematics: A longitudinal evaluation of low-income elementary school students. Elementary School Journal, 84(4), 395–407.

    Article  Google Scholar 

  • Hallam, S. (2004). Homework: The evidence. London: University of London, Institute of Education.

    Google Scholar 

  • Hatch, T., & Grossman, P. (2009). Learning to look beyond the boundaries of representation: Using technology to examine teaching (Overview for a digital exhibition: Learning from the practice of teaching). Journal of Teacher Education, 60(1), 70–85.

    Article  Google Scholar 

  • Jeanotte, D., & Kieran, C. (2017). A conceptual model of mathematical reasoning for school mathematics. Educational Studies in Mathematics. Advance online publication. https://doi.org/10.1007/s10649-017-9761-8.

    Article  Google Scholar 

  • Kaur, B. (2008). Teaching and learning of mathematics—What really matters to teachers and students? ZDM—The International Journal on Mathematics Education, 40(6), 951–962.

    Article  Google Scholar 

  • Kaur, B. (2009). Characteristics of good mathematics teaching in Singapore grade eight classrooms—A juxtaposition of teachers’ practice and students’ perception. ZDM—The international Journal on Mathematics Education, 41(3), 333–347.

    Article  Google Scholar 

  • Kaur, B. (2010). A study of mathematical tasks from three classrooms in Singapore. In Y. Shimizu, B. Kaur, R. Huang, & D. Clarke (Eds.), Mathematical tasks in classrooms around the world (pp. 15–33). Rotterdam: Sense Publishers.

    Google Scholar 

  • Kaur, B. (2011). Mathematics homework: A study of three grade eight classrooms in Singapore. International Journal of Science and Mathematics Education, 9(1), 187–206.

    Article  Google Scholar 

  • Kaur, B. (2013). Participation of students in content-learning classroom discourse: A study of two grade 8 mathematics classes in Singapore. In B. Kaur, G. Anthony, M. Ohtani, & D. Clarke (Eds.), Student voice in mathematics classrooms around the world (pp. 65–88). Rotterdam: Sense Publisher.

    Chapter  Google Scholar 

  • Kaur, B. (2014). Developing procedural fluency in algebraic structures—A case study of a mathematics classroom in Singapore. In F. K. S. Leung, K. Park, D. Holton, & D. Clarke (Eds.), Algebra teaching around the world (pp. 81–98). Rotterdam: Sense Publishers.

    Google Scholar 

  • Kaur, B., & Loh, H. K. (2009). Student perspective on effective mathematics pedagogy: Stimulated recall approach study. Singapore.

    Google Scholar 

  • Kaur, B., Low, H. K., & Seah, L. H. (2006). Mathematics teaching in two Singapore classrooms: The role of textbook and homework. In D. Clarke, C. Keitel, & Y. Shimizu (Eds.), Mathematics classrooms in 12 countries: The insider’s perspective (pp. 99–115). Rotterdam/Taipei: Sense Publisher.

    Google Scholar 

  • Kaur, B., Tay, E.G., Toh, T.L., Leong, Y.H., & Lee, N.H. (2018). A study of school mathematics curriculum enacted by competent teachers in Singapore secondary schools. Mathematics Education Research Journal, 30(1), 103-116.

    Article  Google Scholar 

  • Kirshner, D. (2002). Untangling teachers’ diverse aspirations for student learning: A cross-disciplinary strategy for relating psychological theory to pedagogical practice. Journal for Research in Mathematics Education, 33(1), 46–58.

    Article  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, 29–63.

    Article  Google Scholar 

  • Lampert, M. (2010). Learning teaching in, from, and for practice: What do we mean? Journal of Teacher Education, 61(1–2), 21–34.

    Article  Google Scholar 

  • Lee, N. H. (2009). Preparation of Schemes of Work and Lesson Plans. In P. Y. Lee & N. H. Lee (Eds.), Teaching Secondary School Mathematics—A Resource Book (2nd ed. Updated) (pp. 337–356). Singapore: McGraw Hill Education.

    Google Scholar 

  • Leong, Y. H., Cheng, L. P., Toh, W. Y., Kaur, B., & Toh, T. L. (in press). Making things explicit using instructional materials: A case study of a Singapore teacher’s practice. Mathematics Education Research Journal. https://doi.org/10.1007/s13394-018-0240-z, Online First.

  • Leung, F. K. S. (2001). In search of an East Asian identity in mathematics education. Educational Studies in Mathematics, 47(1), 35–41.

    Article  Google Scholar 

  • Love, E., & Pimm, D. (1996). ‘This is so’: A text on texts. In A. J. Bishop, K. Clements, K. Keitel, J. Kilpatrick, & C. Laborde (Eds.), International handbook of mathematics education (pp. 371–409). Netherlands: Kluwer Academic Publishers.

    Google Scholar 

  • MacBeath, J., & Turner, M. (1990). Learning out of school: Homework, policy and practice. Glasgow: Jordanhill College of Education.

    Google Scholar 

  • Ministry of Education. (2012). Ordinary-level and normal (academic)-level mathematics teaching and learning syllabus. Singapore: Author.

    Google Scholar 

  • Mok, A. C. I. (2004). Learning tasks. Paper presented at the Annual Meeting of the American Educational Research Association, San Diego, April 12–16, 2004.

    Google Scholar 

  • Mok, I. A. C., & Kaur, B. (2006). ‘Learning task’ lesson events. In D. Clarke, J. Emanuelsson, E. Jablonka, & I. A. C. Mok (Eds.), Making connections: Comparing mathematics classrooms around the world (pp. 147–163). Rotterdam/Taipei: Sense Publishers.

    Google Scholar 

  • NCTM (2000). Principles and standards for school mathematics. Reston, VA: NCTM

    Google Scholar 

  • Seah, L. H., Kaur, B., & Low, H. K. (2006). Case studies of Singapore secondary mathematics classrooms: The instructional approaches of two teachers. In D. Clarke, C. Keitel, & Y. Shimizu (Eds.), Mathematics classrooms in 12 countries: The insider’s perspective (pp. 151–165). Rotterdam/Taipei: Sense Publisher.

    Google Scholar 

  • Stigler, J. W., & Hiebert, J. (1999). The teaching gap. Best ideas from the world’s teachers for improving education in the classroom. New York: Free Press.

    Google Scholar 

  • Stodolsky, S. S. (1988). The subject matters: Classroom activity in math and social studies. Chicago, IL, US: University of Chicago Press.

    Google Scholar 

  • Thompson, A., Philipp, R., Thompson, P., & Boyd, B. (1994). Calculational and conceptual orientations in teaching mathematics. In D. Aichele & A. Coxford (Eds.), Professional development for teachers of mathematics (pp. 79–92). Reston, VA: National Council of Teachers of Mathematics.

    Google Scholar 

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Author information

Authors and Affiliations

  1. National Institute of Education, Singapore, Singapore

    Yew Hoong Leong, Berinderjeet Kaur, Ngan Hoe Lee & Tin Lam Toh

Authors
  1. Yew Hoong Leong
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  2. Berinderjeet Kaur
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  3. Ngan Hoe Lee
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  4. Tin Lam Toh
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Correspondence to Yew Hoong Leong .

Editor information

Editors and Affiliations

  1. National Institute of Education, Nanyang Technological University, Singapore, Singapore

    Tin Lam Toh

  2. National Institute of Education, Nanyang Technological University, Singapore, Singapore

    Berinderjeet Kaur

  3. National Institute of Education, Nanyang Technological University, Singapore, Singapore

    Eng Guan Tay

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Leong, Y.H., Kaur, B., Lee, N.H., Toh, T.L. (2019). Exemplary Practices of Mathematics Teachers. In: Toh, T., Kaur, B., Tay, E. (eds) Mathematics Education in Singapore. Mathematics Education – An Asian Perspective. Springer, Singapore. https://doi.org/10.1007/978-981-13-3573-0_16

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  • DOI: https://doi.org/10.1007/978-981-13-3573-0_16

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-13-3572-3

  • Online ISBN: 978-981-13-3573-0

  • eBook Packages: EducationEducation (R0)

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