Abstract
In this chapter, we describe the case study of an in-service teacher, Swati, who participated in a study aimed at supporting teachers to develop resources for teaching mathematics with understanding. We present an analysis of Swati’s teaching practice and illustrate how shifts appeared in her practice from procedure based teaching to teaching that supports reasoning. We discuss these shifts in practice in the light of constraints and affordances experienced by the teacher. We claim that the teacher’s shift in practice was constrained by tensions experienced with regard to beliefs, tensions experienced in negotiating social norms of mathematics pedagogy and assessment, and limited pedagogical content knowledge. Affordances for exploring reasoning based practices were provided by Swati’s reflection on her own practice and beliefs in collaboration with the researcher and peers in workshops, participating in workshop to develop resources for teaching and an alternative image for mathematics teaching and finally, adopting an identity of a teacher focusing on reasoning rather than procedures.
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Brodie, K. (2012). Professional learning communities and teacher change. Paper presented at 12th International Congress of Mathematical education. Seoul, Korea: ICME.
Clarke, D. (1994). Ten key principles from research for the professional development of mathematics teachers. In D. B. Aichele & A. F. Coxford (Eds.), Professional development for teachers of mathematics (pp37-48) (pp. 37–48). Reston, VA: National Council of Teachers of Mathematics.
Clarke, P. (2001). Teaching & learning: The culture of pedagogy. New Delhi: Sage Publications.
Clarke, D., & Hollingsworth, H. (2002). Elaborating a model of teacher professional growth. Teaching and teacher education, 18(8), 947–967.
Goldenberg, C., & Gallimore, R. (1991). Changing teaching takes more than a one-shot workshop. Educational Leadership, 49(3), 69–72.
Gresalfi, M. S., & Cobb, P. (2011). Negotiating identities for mathematics teaching in the context of professional development. Journal for Research in Mathematics Education, 42(3), 270–304.
Guskey, T. R. (2000). Evaluating professional development. Thousand Oaks, CA: Corwin Press.
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, 26(4), 430–511.
Jaworski, B. (2008). Building and sustaining inquiry communities in mathematics teaching development: Teachers and didacticians in collaboration. In K. Krainer (Volume Ed.) & T. Wood (Series Ed.), International handbook of mathematics teacher education (Vol. 3). Participants in mathematics teacher education: Individuals, teams, communities and networks (pp. 309–330). Rotterdam, The Netherlands: Sense Publishers.
Kumar, R., Subramaniam, K., & Naik, S. (2015). Professional development workshops for in-service mathematics teachers in India. In B. Sriraman, J. Cai, K. H. Lee, F. Lianghuo, Y. Shimizu, C. S. Lim, & K. Subramaniam (Eds.), The first sourcebook on Asian research in mathematics education: China, Korea, Singapore, Japan, Malyasia and India (Vol. 2, pp. 1631–1654). Charlotte, NC: Infoage Publishers.
Matos, J. F., Powell, A., Sztajn, P., Ejersbø, L., Hovermill, J., & Matos, J. F. (2009). Mathematics teachers’ professional development: Processes of learning in and from practice. In The professional education and development of teachers of mathematics (pp. 167–183). Springer US.
Mehan, H. (1979). Learning lessons: Social organization in the classroom (p. 80). Cambridge, MA: Harvard University Press.
Miles, M. B., & Huberman, A. M. (1994). Qualitative data analysis: An expanded sourcebook. Sage.
National Council for Educational Research and Training. (2006). National focus group on teaching of Mathematics Report. New Delhi: NCERT.
National Council for Teacher Education. (2009). National curriculum framework for teacher education: Towards preparing professional and humane teacher. New Delhi: NCTE.
Pajares, M. F. (1992). Teachers’ beliefs and educational research: Cleaning up a messy construct. Review of Educational Research, 62(3), 307–332.
Putnam, R. T., & Borko, H. (2000). What do new views of knowledge and thinking have to say about research on teacher learning? Educational researcher, 4–15.
Richardson, V., & Anders, P. (1994). The study of teacher change. In V. Richardson (Ed.), A theory of teacher change and the practice of staff development: A case in reading instruction (pp. 159–180). New York: Teachers College Press.
Saunders, W., Goldenberg, C., & Hamann, J. (1992). Instructional conversations beget instructional conversations. Teaching and Teacher Education, 8, 199–218.
Sparks, D., & Loucks-Horsley, S. (1990). Models of staff development. In W. R. Houston (Ed.), Handbook of research on teacher education (pp. 234–250). New York: Macmillan.
Stein, M. K., Grover, B. W., & Henningsen, M. A. (1996). Building student capacity for mathematical thinking and reasoning: An analysis of mathematical tasks used in reform classrooms. American Educational Research Journal, 33(2), 455–488.
Swan, M. (2006). Collaborative learning in mathematics. A Challenge to our Beliefs. Leicester, UK: National Institute of Adult Continuing Education.
Vescio, V., Ross, D., & Adams, A. (2008). A review of research on the impact of professional learning communities on teaching practice and student learning. Teaching and Teacher Education, 24(1), 80–91.
Wenger, E. (1999). Communities of practice: Learning, meaning, and identity (learning in doing: social, cognitive and computational perspectives). Cambridge: Cambridge University Press.
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Kumar, R.S., Subramaniam, K. (2017). Constraints and Affordances in Bringing About Shifts in Practice Towards Developing Reasoning in Mathematics: A Case Study. In: Kaur, B., Kwon, O., Leong, Y. (eds) Professional Development of Mathematics Teachers. Mathematics Education – An Asian Perspective. Springer, Singapore. https://doi.org/10.1007/978-981-10-2598-3_10
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