Abstract
In order for teachers to improve over time, they must be proficient at collecting and analyzing evidence of student thinking and learning (Hiebert, Morris, Berk, & Jansen, J Teacher Educ 58(1):47–60, 2007). This specific type of diagnostic competence, which focuses on diagnosing student learning with the specific goal of studying and improving teaching, can be improved through interventions in teacher education (see, e.g., Spitzer, Phelps, Beyers, Johnson, & Sieminski, JMTE 14(1):67–87, 2011). In this chapter, we discuss the findings of previous interventions aimed at helping prospective teachers (PTs) learn to analyze student thinking. Then, we present a replication study using a classroom intervention to teach prospective elementary teachers (N = 23) to identify and evaluate evidence of student understanding. Results of this study and previous work show that diagnostic competence is a skill that is teachable through interventions. After the intervention described in this chapter, participants performed better on a measure of diagnostic competence. In particular, they improved their ability to distinguish evidence of student thinking from nonevidence, such as a teacher’s lecture. They were also more likely to recognize that students’ procedural work cannot be used to diagnose conceptual understanding. Results will be used to suggest key features of interventions to improve diagnostic competence.
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References
Adler, J., Ball, D., Krainer, K., Lin, F. L., & Novotna, J. (2005). Reflections on an emerging field: Researching mathematics teacher education.Educational Studies in Mathematics,60(3), 359–381.
Alsawaie, O. N., & Alghazo, I. M. (2010). The effect of video-based approach on prospective teachers’ ability to analyze mathematics teaching.Journal of Mathematics Teacher Education,13(3), 223–241.
Ball, D. L., Thames, M. H., & Phelps, G. (2008). Content knowledge for teaching: What makes it special?Journal of Teacher Education,59(5), 389–407.
Bartell, T. G., Webel, C., Bowen, B., & Dyson, N. (2013). Prospective teacher learning: Recognizing evidence of conceptual understanding.Journal of Mathematics Teacher Education,16(1), 57–79.
Berk, D., & Hiebert, J. (2009). Improving the mathematics preparation of elementary teachers, one lesson at a time.Teachers and Teaching: Theory and Practice,15(3), 337–356.
Feiman-Nemser, S. (2001). From preparation to practice: Designing a continuum to strengthen and sustain teaching.Teachers College Record,103(6), 1013–1055.
Hammerness, K., Darling-Hammond, L., & Bransford, J. (with Berliner, D., Cochran-Smith, M., McDonald, M., & Zeichner, K.) (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 (pp. 358–389). San Francisco, CA: Jossey-Bass.
Hiebert, J., & Grouws, D. A. (2007). The effects of classroom mathematics teaching on students’ learning. In F. K. Lester (Ed.),Second handbook of research on mathematics teaching and learning (pp. 371–404). Charlotte, NC: Information Age Publishing.
Hiebert, J., Morris, A. K., Berk, D., & Jansen, A. (2007). Preparing teachers to learn from teaching.Journal of Teacher Education,58(1), 47–60.
Jacobs, V. R., Lamb, L. L. C., & Philipp, R. A. (2010). Professional noticing of children’s mathematical thinking.Journal for Research in Mathematics Education,41(2), 169–202.
Leuders, T., Dörfler, T., Leuders, J., & Philipp, K. (2018). Diagnostic competence of mathematics teachers – unpacking a complex construct. In T. Leuders, K. Philipp, & J. Leuders (Eds.), Diagnostic competence of mathematics teachers. Cham: Springer.
Makel, M. C., & Plucker, J. A. (2014). Facts are more important than novelty: Replication in the education sciences.Educational Researcher,43, 304–316.
Meikle, E. (2014). Preservice teachers’ competencies to select and sequence students’ solution strategies for productive whole-class discussions.Mathematics Teacher Educator,3(1), 27–57.
Morris, A. K. (2006). Assessing pre-service teachers’ skills for analyzing teaching.Journal of Mathematics Teacher Education,9, 471–505.
Morris, A. K., Hiebert, J., & Spitzer, S. M. (2009). Mathematical knowledge for teaching in planning and evaluating instruction: What can preservice teachers learn?Journal for Research in Mathematics Education,40(5), 491–529.
Phelps, C. M., & Spitzer, S. M. (2012). Systematically improving lessons in teacher education: What’s good for prospective teachers is good for teacher educators.The Teacher Educator,47(4), 328–347.
Philipp, K., & Leuders, T. (2014). Diagnostic competences of mathematics teachers – Processes and resources. InProceedings of the 38th Conference of the International Group for the Psychology of Mathematics Education, Vol. 4, Vancouver, BC, Canada.
Reichardt, C. S. (2009). Quasi-experimental design. In R. E. Millsap & A. Maydeu-Olivares (Eds.),The SAGE handbook of quantitative methods in psychology (pp. 46–71). Los Angeles, CA: Sage Publications.
Santagata, R., & Angelici, G. (2010). Studying the impact of the lesson analysis framework on preservice teachers’ abilities to reflect on videos of classroom teaching.Journal of Teacher Education,61(4), 339–349.
Santagata, R., & Guarino, J. (2011). Using video to teach future teachers to learn from teaching.ZDM,43(1), 133–145.
Santagata, R., & Yeh, C. (2014). Learning to teach mathematics and to analyze teaching effectiveness: Evidence from a video- and practice-based approach.Journal of Mathematics Teacher Education,17(6), 491–514.
Santagata, R., Zannoni, C., & Stigler, J. W. (2007). The role of lesson analysis in pre-service teacher education: An empirical investigation of teacher learning from a virtual video-based field experience.Journal of Mathematics Teacher Education,10, 123–140.
Schack, E. O., Fisher, M. H., Thomas, J. N., Eisenhardt, S., Tassell, J., & Yoder, M. (2013). Prospective elementary school teachers’ professional noticing of children’s early numeracy.Journal of Mathematics Teacher Education,16, 379–397.
Schmidt, S. (2009). Shall we really do it again? The powerful concept of replication is neglected in the social sciences.Review of General Psychology,13, 90–100.
Schoenfeld, A. H. (2011). Noticing matters. A lot. Now what? In M. G. Sherin, V. R. Jacobs, & R. A. Philipp (Eds.),Mathematics teacher noticing: Seeing through teachers’ eyes (pp. 223–238). New York, NY: Routledge.
Sherin, M. G., Jacobs, V. R., & Philipp, R. A. (2011). Situating the study of teacher noticing. In M. G. Sherin, V. R. Jacobs, & R. A. Philipp (Eds.),Mathematics teacher noticing: Seeing through teachers’ eyes (pp. 3–13). New York, NY: Routledge.
Sherin, M. G., Linsenmeier, K. A., & van Es, E. A. (2009). Selecting video clips to promote mathematics teachers’ discussion of student thinking.Journal of Teacher Education,60, 213–230.
Spitzer, S. M., & Phelps, C. M. (2011). Prospective teachers’ use of lesson experiments: The effects of an online discussion board. In L. R. Wiest & T. Lamberg (Eds.),Proceedings of the 33rd annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education, Reno, NV.
Spitzer, S. M., Phelps, C. M., Beyers, J. E. R., Johnson, D. Y., & Sieminski, E. S. (2011). Developing pre-service elementary teachers’ abilities to identify evidence of student mathematical achievement.Journal of Mathematics Teacher Education,14(1), 67–87.
Star, J., & Strickland, S. (2008). Learning to observe: Using video to improve pre-service mathematics teachers’ ability to notice.Journal of Mathematics Teacher Education,11, 107–125.
Stockero, S. (2008). Differences in preservice mathematics teachers’ reflective abilities attributable to use of a video case curriculum.Journal of Technology and Teacher Education,16(4), 433–458.
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Phelps-Gregory, C.M., Spitzer, S.M. (2018). Developing Prospective Teachers’ Ability to Diagnose Evidence of Student Thinking: Replicating a Classroom Intervention. In: Leuders, T., Philipp, K., Leuders, J. (eds) Diagnostic Competence of Mathematics Teachers. Mathematics Teacher Education, vol 11. Springer, Cham. https://doi.org/10.1007/978-3-319-66327-2_12
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