Abstract
This chapter focuses on the border between school and mathematics teacher education courses by investigating and describing a testing activity that can be implemented in both venues. Specifically, we investigate a testing activity where pre-service teachers (PSTs) develop, sit, and assess tests for one another. We report on PSTs’ written reflections of what they learned through experiencing the testing activity and situate their experiences in related literature and recommendations for reform-based mathematics.
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References
Andrew, L. (2009). Creating a proof error evaluation tool for use in the grading of student generated “proofs”. Primus, 19(5), 447–462.
Ball, D. L. (2001). Teaching, with respect to mathematics and students. In T. Wood, B. S. Nelson, & J. Warfeild (Eds.), Beyond classical pedagogy: Teaching elementary school mathematics (pp. 11–22). Mahwah, NJ: Erlbaum.
Ball, D. L. (1990). Breaking with experience in learning to teach mathematics: The role of a preservice methods course. For the Learning of Mathematics, 10(2), 10–16.
Ball, D. L., Sleep, L., Boerst, T. A., & Bass, H. (2009). Combining the development of practice and the practice of development in teacher education. The Elementary School Journal, 109(5), 458–474.
Berliner, D. C. (1989). Implications of studies of expertise in pedagogy for teacher education and evaluation. In Proceedings of the 1988 educational testing service invitational conference, new directions for teacher assessment (pp. 39–65). Princeton, NJ: Educational Testing Service.
Beswick, K., & Muir, T. (2013). Making connections: Lessons on the use of video in pre-service teacher education. Mathematics Teacher Education and Development, 15(2), 27–51.
Brown, L. (2016). Elementary teachers’ weak math skills spark mandatory crash courses. The Toronto Star. May 13.
Campbell, M., & Bolyard, J. (2018). Why students need more ‘math talk’. The Conversation. Retrieved from https://theconversation.com/why-students-need-more-math-talk-104034
Carless, D., Salter, D., Yang, M., & Lam, J. (2011). Developing sustainable feedback practices. Society for Research into High Education, 36(4), 395–407. https://doi.org/10.1080/03075071003642449
Chapman, O. (2015). Reflective awareness in mathematics teachers’ learning and teaching. Eurasia Journal of Mathematics, 11(2), 313–324.
Durkin, K., Star, J. R., & Rittle-Johnson, B. (2017). Using comparison of multiple strategies in the mathematics classroom: Lessons learned and next steps. ZDM, 49(4), 585–597.
Ellis, N. J., & Loughland, T. (2017). “Where to next?” Examining feedback received by teacher education students. Issues in Educational Research, 27(1), 51–63.
Evans, C. (2013). Making sense of assessment feedback in higher education. Review of Educational Research, 83(1), 70–120.
Gainsburg, J. (2012). Why new mathematics teachers do or don’t use practices emphasized in their credential program. Journal of Mathematics Teacher Education, 15(5), 359–379.
Grossman, P., Hammerness, K., & McDonald, M. (2009). Redefining teaching, re-imagining teacher education. Teachers and Teaching: Theory and Practice, 15(2), 273–289.
Grossman, P. L., Smagorinski, P., & Valencia, S. W. (1999). Appropriating tools for teaching English: A theoretical framework for research on learning to teach. American Journal of Education, 108, 1–29.
Handal, B., & Herrington, A. (2003). Mathematics teachers’ beliefs and curriculum reform. Mathematics Education Research Journal, 15(1), 59–69. https://doi.org/10.1007/BF03217369
Hart, L. C., & Swars, S. L. (2009). The lived experiences of elementary prospective teachers in mathematics content coursework. Teacher Development, 13(2), 159–172.
Hiebert, J. (2013). The constantly underestimated challenge of improving mathematics instruction. In K. Leatham (Ed.), Vital directions for mathematics education research. New York: Springer.
Hiebert, J., Morris, A. K., Berk, D., & Jansen, A. (2007). Preparing teachers to learn from teaching. Journal of Teacher Education, 58(1), 47–61.
Kinnunen, P., & Simon, B. (2012). Phenomenography and grounded theory as research methods in computing education research field. Computer Science Education, 22(2), 199–218.
Lavey, I., & Shriki, A. (2014). Engaging prospective teachers in peer assessment as both assessors and assesses: The case of geometrical proofs. International Journal of Mathematics Teaching and Learning. Retrieved from http://www.cimt.plymouth.ac.uk/journal/lavey2pd
Mason, J., & Davis, B. (2013). The importance of teachers’ mathematical awareness for in-the-moment pedagogy. Canadian Journal of Science, Mathematics and Technology Education, 13(2), 182–197. https://doi.org/10.1080/14926156.2013.784830
Mason, J. (2002). Researching your own practice: The discipline of noticing. Routledge.
Marton, F., & Booth, S. (1997). Learning and awareness. Mahwah, NJ: Lawrence Erlbaum Associates.
National Council for Accreditation of Teacher Education [NCATE]. (2010). Transforming teacher education through clinical practice: A national strategy to prepare effective teachers. Retrieved from http://www.ncate.org on November 18, 2010.
National Council of Teachers of Mathematics. (2014). Principles to actions: Ensuring mathematics success for all. Reston, VA: National Council of Teachers of Mathematics.
National Council of Teachers of Mathematics. (2000). Principles and standards for school mathematics. Reston, VA: National Council of Teachers of Mathematics.
Nelson, M. M., & Schunn, C. D. (2009). The nature of feedback: How different types of peer feedback affect writing performance. Instructional Science, 37(4), 375–401. https://doi.org/10.1007/s11251-008-9053-x
Rapke, T. (2016). A process of students and their instructor developing a final closed-book mathematics exam. Research in Mathematics Education, 18(1), 27–42. https://doi.org/10.1080/14794802.2015.1134342
Rittle-Johnson, B., & Star, J. R. (2007). Does comparing solution methods facilitate conceptual and procedural knowledge? An experimental study on learning to solve equations. Journal of Educational Psychology, 99(3), 561.
Scheeler, M. (2008). Generalizing effective teaching skills: The missing link in teacher preparation. Journal of Behavioural Education, 17, 145–159.
Schön, D. (1983). The reflective practitioner: How professional think in action. London: Temple Smith.
Schwartz, C., Walkowiak, T. A., Poling, L., Richardson, K., & Polly, D. (2018). The nature of feedback given to elementary student teachers from university supervisors after observations of mathematics lessons. Mathematics Teacher Education and Development, 20(1), 62–85.
Smith, M. S., & Stein, M. K. (2011). 5 practices for orchestrating productive mathematics discussions. National Council of Teachers of Mathematics.
Silver, E. (1994). On Mathematical Problem Posing. For the Learning of Mathematics, 14(1), 19–28. Retrieved March 21, 2020, from http://www.jstor.org/stable/40248099
Silver, E. A. (1997). Fostering creativity through instruction rich in mathematical problem solving and problem posing. Zentralblatt für Didaktik der Mathematik 29, 75–80. https://doi.org/10.1007/s11858-997-0003-x
Thomas, A., & Sondergeld, T. (2015). Investigating the impact of feedback instruction: Partnering preservice teachers with middle school students to provide digital, scaffolded feedback. Journal of the Scholarship of Teaching and Learning, 154, 83–109.
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Rapke, T., Husband, M., Bourrie, H. (2020). Blurring the Border Between Teacher Education and School Classrooms: A Practical Testing Activity for Both Contexts. In: Radakovic, N., Jao, L. (eds) Borders in Mathematics Pre-Service Teacher Education. Springer, Cham. https://doi.org/10.1007/978-3-030-44292-7_8
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DOI: https://doi.org/10.1007/978-3-030-44292-7_8
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