The teaching of mathematical knowledge for teaching – a learning study of primary school teacher education
Abstract
A group of Swedish teacher educators conducted a learning study in order to identify critical features concerning the teaching and learning of Mathematical knowledge for teaching (MKT). Three seminars and 300 tests were analysed using variation theory revealing four critical features to take into account in teaching student teachers in mathematics education: namely their need to i) formulate proper goals for a lesson, ii) outline the lesson plan in detail, iii) shift perspective from the role of being a teacher to being a mathematics teacher, and iv) understand the underlying mathematics of the lesson topic at hand. Thus, these are the four features of importance to the learning and teaching of MKT.
References
Adler, J., Hossain, S., Stevenson, M. & Clarke, J. (2014). Mathematics for teaching and deep subject knowledge: voices of mathematics enhancement course students in England. Journal of Mathematics Teacher Education, 17 (2), 129-148. https://doi.org/10.1007/s10857-013-9259-y
Askew, M. (2008). Mathematical discipline knowledge requirements for prospective primary teachers and the structure and teaching approaches of programs designed to develop that knowledge. In P. Sullivan & T. Wood (Eds.), The international handbook of mathematics teacher education. Volume 1. Knowledge and beliefs in mathematics teaching and teaching development (pp. 13-36). Rotterdam: Sense Publishers.
Ball, D. L. & Hill, H. (2008). Mathematical knowledge for teaching (MKT) measures. Ann Arbor: University of Michigan. Retrieved from http://sitemaker.umich.edu/lmt/files/LMT_sample_items.pdf
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 (1), 14-17, 20-22, 43-46.
Ball, D. L., Phelps, G. & Thames, M. H. (2008). Content knowledge for teaching: What makes it special? Journal of Teacher Education, 59 (5), 389-407. https://doi.org/10.1177/0022487108324554
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), 458-476. https://doi.org/10.1086/596996
Bommel, J. van (2012). Improving teaching, improving learning, improving as a teacher: mathematical knowledge for teaching as an object of learning (Ph. D. thesis). Department of Mathematics, Karlstad University.
Bommel, J. van & Liljekvist, Y. (2008, November). Testing the same group again and again: an alternative design for a learning study. Paper presented at the World Association of Lesson Studies International Conference 2008 (WALS 08), Hong Kong, China.
Delaney, S., Ball, D. L., Hill, H., Schilling, S. & Zopf, D. A. (2008). Mathematical knowledge for teaching: adapting U.S. measures for use in Ireland. Journal of Mathematics Teacher Education, 11 (3), 171-197. https://doi.org/10.1007/s10857-008-9072-1
Elliott, R., Kazemi, E., Lesseig, K., Mumme, J., Carroll, C. & Kelley-Petersen, M. (2009). Conceptualizing the work of leading mathematical tasks in professional development. Journal of Teacher Education, 60 (4), 364-379. https://doi.org/10.1177/0022487109341150
Fauskanger, J., Jakobsen, A., Mosvold, R. & Bjuland, R. (2012). Analysis of psychometric properties as part of an iterative adaptation process of MKT items for use in other countries. ZDM, 44 (2), 387-399. https://doi.org/10.1007/s11858-012-0403-4
Grevholm, B. & Anthony, G. (Eds.). (2010). Teachers of mathematics: recruitment, retention, professional development and identity. Linköping: SMDF.
Grossman, P. L. (1990). The making of a teacher: teacher knowledge and teacher education. New York: Teachers College Press.
Koellner, K., Jacobs, J., Borko, H., Schneider, C., Pittman, M. et al. (2007). The problem-solving cycle: a model to support the development of teachers' professional knowledge. Mathematical Thinking and Learning, 9 (3), 273-303. https://doi.org/10.1080/10986060701360944
Land, T. J. & Drake, C. (2014). Understanding preservice teachers' curricular knowledge. In J.-J. Lo, K. R. Leatham & L. R. Van Zoest (Eds.), Research trends in mathematics teacher education (pp. 3-22). Cham: Springer. https://doi.org/10.1007/978-3-319-02562-9_1
Marton, F. & Ling, L. M. (2007). Learning from the "learning study". Journal of Research in Teacher Education, 14 (1), 31-46.
Marton, F. & Pang, M. F. (2004). On some necessary conditions of learning. Journal of the Learning Sciences, 15 (2), 193-220. https://doi.org/10.1207/s15327809jls1502_2
Marton, F. & Tsui, A. (2004). Classroom discourse and the space of learning. Mahwah: Lawrence Erlbaum Associates. https://doi.org/10.4324/9781410609762
Niss, M. (2004). The Danish "KOM" project and possible consequences for teacher education. In R. Strässer, G. Brandell, B. Grevholm & O. Helenius (Eds.), Educating for the future: proceedings of an international symposium on mathematics teacher education (pp. 179-190). Gothenburg: National Centre for Mathematics Education.
Palmer, H. (2013). To become - or not to become - a primary school mathematics teacher: a study of novice teachers' professional identity development (Ph. D. thesis). Växjö: Linnaeus University Press.
Pang, M. F., Linder, C. & Fraser, D. (2006). Beyond lesson studies and design experiments: using theoretical tools in practice and finding out how they work. International Review of Economics Education, 5 (1), 28-45. https://doi.org/10.1016/S1477-3880(15)30126-2
Runesson, U. (2005). Beyond discourse and interaction. Variation: a critical aspect for teaching and learning mathematics. Cambridge Journal of Education, 35 (1), 69-87. https://doi.org/10.1080/0305764042000332506
Runesson, U. (2006). What is it possible to learn? On variation as a necessary condition for learning. Scandinavian Journal of Educational Research, 50 (4), 397-410. https://doi.org/10.1080/00313830600823753
Rystedt, E. & Trygg, L. (2005). Matematikverkstad: en handledning för att bygga, använda och utveckla matematikverkstäder. Gothenburg: National Centre for Mathematics Education.
Suzuka, K., Sleep, L., Ball, D. L., Bass, H., Lewis, J. & Thames, M. H. (2009). Designing and using tasks to teach mathematical knowledge for teaching. In D. Mewborn & H. S. Lee (Eds.), In scholarly practices and inquiry in the preparation of mathematics teachers (pp. 7-23). San Diego: Association of Mathematics Teacher Educators.
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