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A capstone mathematics course for prospective secondary mathematics teachers

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This article describes an innovative capstone mathematics course that links college mathematics with school mathematics and pedagogy. It describes how college juniors in a secondary mathematics teacher preparation program engage in leadership experiences that enable them to learn mathematics for teaching while developing student-centered pedagogical and assessment strategies. Examples show how students teach the class, complemented by excerpts from student journals containing students’ perceptions of their learning. Preliminary research indicates the effectiveness of this course for preparing future mathematics teachers.

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  • Artzt, A. F., Armour-Thomas, E., & Curcio, F. R. (2008). Becoming a reflective mathematics teacher (2nd ed.). New York, NY: Lawrence Erlbaum Associates, Taylor & Francis Group.

    Google Scholar 

  • Ball, D. L. (1991). Teaching mathematics for understanding: What do teachers need to know about subject matter? In M. M. Kennedy (Ed.), Teaching academic subjects to diverse learners (pp. 63–83). NY: Teachers College Press.

    Google Scholar 

  • Ball, D. L., Thames, M. H., & Phelps, G. (2008). Content knowledge for teaching: What makes it special? Journal of Teacher Education, 59, 389–407.

    Article  Google Scholar 

  • Borko, H., Eisenhart, M., Brown, C., Underhill, R., Jones, D., & Agard, P. (1992). Learning to teach hard mathematics: Do novice teachers and their instructors give up too easily? Journal for Research in Mathematics Education, 23, 194–222.

    Article  Google Scholar 

  • Cooney, T. J. (1999). Conceptualizing teachers’ ways of knowing. Educational Studies in Mathematics, 38, 163–187.

    Article  Google Scholar 

  • Hammerness, K., Darling-Hammond, L., Bransford, J., Berliner, D., Cochran-Smith, M., McDonald, M., et al. (2005). How teachers learn and develop. In L. Darling-Hammond & J. Bransford (Eds.), Preparing teachers for a changing world: What teachers should learn and be able to do. San Francisco, CA: Wiley.

    Google Scholar 

  • Hill, H. C., Blunk, M. L., Charalambous, C. Y., Lewis, J. M., Phelps, G. C., Sleep, L., et al. (2008). Mathematical knowledge for teaching and the mathematical quality of instruction: An exploratory study. Cognition and Instruction, 29, 430–511.

    Article  Google Scholar 

  • Hill, H., Rowan, B., & Ball, D. (2005). Effects of teachers’ mathematical knowledge for teaching on student achievement. American Educational Research Journal, 42, 371–406.

    Article  Google Scholar 

  • Jankvist, U. (2009). A categorization of the “whys” and “hows” of using history in mathematics education. Educational Studies in Mathematics, 71, 235–261.

    Article  Google Scholar 

  • Lortie, D. C. (1975). Schoolteacher: A sociological study. Chicago: University of Chicago Press.

    Google Scholar 

  • National Council of Teachers of Mathematics. (2000). Principles and standards for school mathematics. Reston, VA: The Council.

    Google Scholar 

  • Neiss, M. L. (2005). Preparing teachers to teach science and mathematics with technology: Developing a technology pedagogical content knowledge. Teaching and Teacher Education, 21, 509–523.

    Article  Google Scholar 

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

    Google Scholar 

  • Shulman, L. (1987). Knowledge and teaching: Foundation of the new reform. Educational Review, 57, 1–22.

    Google Scholar 

  • Sultan, A., & Artzt, A. (2011). The mathematics that every secondary math teacher needs to know. Florence, KY: Routledge, Taylor & Francis Group.

    Google Scholar 

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Correspondence to Alice F. Artzt.

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Artzt, A.F., Sultan, A., Curcio, F.R. et al. A capstone mathematics course for prospective secondary mathematics teachers. J Math Teacher Educ 15, 251–262 (2012).

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