Abstract
The ability to notice important events in a teaching situation and make decisions about these events is a key component of teaching well. Prospective teachers tend to notice more superficial aspects of classroom practice, such as class management. This article examines a video club in which four student teachers utilized the Mathematical Quality of Instruction (MQI) analysis framework to code each other’s lessons and to discuss their coding in facilitated group sessions. We found that participants became better able to notice important aspect of mathematics more generally and MQI components more specifically. They also adopted a less evaluative stance toward what they noticed. Finally, their self-reported beliefs and practices altered; they credited their participation in the video club for their attempts to incorporate more opportunities for students to engage with mathematical content and ideas.
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Notes
To learn more about the MQI, see http://isites.harvard.edu/icb/icb.do?keyword=mqi_training.
However, participants each began coding with over 50 % accuracy, so growth was limited.
References
Amobi, F., & Irwin, L. (2012). Implementing on-campus microteaching to elicit preservice teachers’ reflection on teaching actions: Fresh perspective on an established practice. Journal of the Scholarship of Teaching and Learning, 9(1), 27–34.
Ball, D. L., Lubienski, S., & Mewborn, D. (2001). Research on teaching mathematics: The unsolved problem of teachers’ mathematical knowledge. In V. Richardson (Ed.), Handbook of research on teaching (4th ed., pp. 433–456). New York: Macmillan.
Beswick, K. (2012). Teachers’ beliefs about school mathematics and mathematicians’ mathematics and their relationship to practice. Educational Studies in Mathematics, 79(1), 1–21.
Borko, H. (2004). Professional development and teacher learning: Mapping the terrain. Educational Researcher, 33(8), 3–15.
Borko, H., Jacobs, J., Eiteljorg, E., & Pittman, M. E. (2008). Video as a tool for fostering productive discussions in mathematics professional development. Teaching and Teacher Education, 24(2), 417–436.
Brantley-Dias, L., Dias, M., Frisch, J., & Rushton, G. (2008). The role of digital video and critical incident analysis in learning to teach science. New York, NY: Paper Presented at the American Educational Research Association.
Brinko, K. (1993). The practice of giving feedback to improve teaching: What is effective? Journal of Higher Education, 64(5), 574–593.
Bursal, M., & Paznokas, L. (2006). Mathematics anxiety and preservice elementary teachers’ confidence to teach mathematics and science. School Science and Mathematics, 106(4), 173–180.
Calandra, B., Brantley-Dias, L., Lee, J. K., & Fox, D. L. (2009). Using video editing to cultivate novice teachers’ practice. Journal of Research on Technology in Education, 42(1), 73–94.
Carpenter, T. P., Fennema, E., Franke, M. L., Levi, L., & Empson, S. B. (1999). Children’s mathematics: Cognitively guided instruction. Heineman: Portsmouth, NH.
Cochran-Smith, M., & Lytle, S. L. (2009). Inquiry as stance: Practitioner research for the next generation. New York: Teachers College Press.
Cohen, D. K., Raudenbush, S. W., & Ball, D. L. (2003). Resources, instruction, and resource. Educational Evaluation and Policy Analysis, 25(2), 119–142.
Coles, A. (2013). Using video for professional development: The role of the discussion facilitator. Journal of Mathematics Teacher Education, 16(3), 165–184.
Colestock, A., & Sherin, M. G. (2009). Teachers’ sense-making strategies while watching video of mathematics instruction. Journal of Technology and Teacher Education, 17(1), 7–29.
Greeno, J. G. (2003). Situative research relevant to standards for school mathematics. In J. Kilpatrick, W. G. Martin, & D. Schifter (Eds.), A research companion to principles and standards for school mathematics (pp. 304–332). Reston, VA: National Council of Teachers of Mathematics.
Grossman, P., Compton, C., Igra, D., Ronfeldt, M., Shahan, E., & Williamson, P. (2009). Teaching practice: A cross-professional perspective. Teachers College Record, 111(9), 2055–2100.
Hill, H.C., Beisiegel, M., Mitchell, R., & Herlihy, C. (2014). Do you see what I see? Educational Leadership, 71 (8). On-line publication.
Hill, H. C., Blunk, M., Charalambous, C., Lewis, J., Phelps, G. C., Sleep, L., & Ball, D. L. (2008). Mathematical knowledge for teaching and the mathematical quality of instruction: An exploratory study. Cognition and Instruction, 26, 430–511.
Hill, H. C., Kapitula, L., & Umland, K. (2011). A validity argument approach to evaluating teacher value-added scores. American Educational Research Journal, 48(3), 794–831.
Hixon, E., & So, H. J. (2009). Technology’s role in field experiences for preservice teacher training. Educational Technology and Society, 12(4), 294–304.
Kersting, N. (2008). Using video clips of mathematics classroom instruction as item prompts to measure teachers’ knowledge of teaching mathematics. Educational and Psychological Measurement, 68(5), 845–861.
Kurz, T. L., & Batarelo, I. (2009). Aligning theory with practice. Teaching Children Mathematics, 15(7), 404–409.
Lave, J., & Wenger, E. (1991). Situated learning: Legitimate peripheral participation (learning in doing: Social, cognitive and computational perspectives). Cambridge: Cambridge University Press.
Learning Mathematics for Teaching Project (2008). Mathematical Quality of Instruction protocol.
Learning Mathematics for Teaching Project. (2011). Measuring the mathematical quality of instruction. Journal of Mathematics Teacher Education, 14(1), 25–47.
Leatham, K. R., & Peterson, B. E. (2010). Secondary mathematics cooperating teachers’ perceptions of the purpose of student teaching. Journal of Mathematics Teacher Education, 13(2), 99–119.
Levin, D. M., Hammer, D., & Coffey, J. E. (2009). Novice teachers’ attention to student thinking. Journal of Teacher Education, 60(2), 142–154.
Lewis, C. C., Perry, R. R., & Hurd, J. (2009). Improving mathematics instruction through lesson study: A theoretical model and a North American case. Journal of Mathematics Teacher Education, 12, 285–304.
Little, J. W., Gearhart, M., Curry, M., & Kafka, J. (2003). Looking at student work for teacher learning, teacher community, and school reform. Phi Delta Kappan, 85, 185–192.
Llinares, S., & Valls, J. (2010). Pre-service primary mathematics teachers’ learning from on-line discussions in a virtual video-based environment. Journal of Mathematics Teacher Education, 13(2), 177–196.
Lloyd, G. (2013). The ongoing development of mathematics teachers’ knowledge and practice: Considering possibilities, complexities, and measures of teacher learning. Journal of Mathematics Teacher Education, 16(3), 161–164.
McDuffie, A. R., Foote, M. Q., Bolson, C., Turner, E. E., Aguirre, J. M., Bartell, T. G., et al. (2014). Using video analysis to support pre-service K-8 teachers’ noticing of students’ multiple mathematical knowledge bases. Journal of Mathematics Teacher Education, 17(3), 245–270.
Moyer, P. S., & Husman, J. (2006). Integrating coursework and field placements: The Impact on Preservice elementary mathematics teachers’ connections to teaching. Teacher Education Quarterly, 33(1), 37–56.
MQI Training Video. (2013). Used with permission by Heather Hill.
Putnam, R. T., & Borko, H. (2000). What do new views of knowledge and thinking have to say about research on teacher learning? Educational Researcher, 29(1), 4–15.
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, 133–145.
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(2), 123–140.
Schack, E. O., Fisher, M. H., Thomas, J. N., Eisenhardt, S., Tassell, J., & Yoder, M. (2013). Pre-service elementary school teachers’ professional noticing of children’s early numeracy. Journal of Math Teacher Education, 16(5), 379–397.
Sherin, M. G. (2003). Using video clubs to support conversations among teachers and researchers. Action in Teacher Education, 24(4), 33–45.
Sherin, M. G., & van Es, E. A. (2005). Using video to support teachers’ ability to notice classroom interactions. Journal of Technology and Teacher Education, 13(3), 475–491.
Sherin, M. G., & van Es, E. A. (2009). Effects of video club participation on teachers’ professional vision. Journal of Teacher Education, 60(1), 20–37.
Star, J. R., & Strickland, S. K. (2008). Learning to observe: Using video to improve preservice mathematics teachers’ ability to notice. Journal of Mathematics Teacher Education, 11(2), 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), 483–509.
Storeygard, J. (Ed.). (2009). My kids can: Making math accessible to all learners, K-5. Mahwah: Heinemann.
Strauss, A., & Corbin, J. (1998). Basics of qualitative research: Techniques and procedures for developing grounded theory (2nd ed.). Thousand Oaks, CA: Sage Publications.
Tripp, T., & Rich, P. (2012). Using video to analyze one’s own teaching. British Journal of Educational Technology, 43(4), 678–704.
van Es, E. A., & Sherin, M. (2006). How different video club designs support teachers in “learning to notice”. Journal of Computing in Teacher Education, 22(4), 125–135.
Warden, B. J. (2004). Self-evaluation of reflective thinking among pre-service and in-service teachers. ProQuest dissertations and theses full text. (UMI No. 3152172).
Wise, A. F., Padmanabhan, P., & Duffy, T. M. (2009). Connecting online learners with diverse local practices: The design of effective common reference points for conversation. Distance Education, 30(3), 317–338.
Acknowledgments
The authors wish to thank the Boston College Lynch School of Education for funding this study. They also wish to thank the participants and their cooperating teachers and students, who graciously allowed us to work with them. Finally, they thank Heather Hill, Charalambos Charalambous and Amanda Jansen for critical feedback on this work.
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Mitchell, R.N., Marin, K.A. Examining the use of a structured analysis framework to support prospective teacher noticing. J Math Teacher Educ 18, 551–575 (2015). https://doi.org/10.1007/s10857-014-9294-3
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DOI: https://doi.org/10.1007/s10857-014-9294-3