Changes in Pre-Service Teachers’ Beliefs about Mathematics Teaching and Learning During Teacher Preparation and Effects of Video-Enhanced Analysis of Practice

While the construct belief is defined in various ways in teacher education research, most scholars agree that beliefs guide teachers’ decision making and classroom behaviors and thus are an important aspect of teacher competence. Pre-service teachers (PSTs) have been typically found to hold a transmission view of mathematics teaching. The influence of teacher preparation on future teachers’ beliefs about mathematics teaching and learning is unclear. This study investigates beliefs in a sample of U.S. elementary PSTs prior to teacher preparation and examines the impact on belief changes of two different mathematics methods courses. Findings reveal that while PSTs hold a transmission view of mathematics teaching prior to teacher preparation, their beliefs change during the program. In addition, PSTs who attended a video-enhanced mathematics methods course structured around systematic and collaborative analysis of practice showed stronger evidence of alignment with the beliefs that children can solve problems in novel ways before being taught how to solve such problems and that teachers should allow children to do as much of the thinking as possible during instruction, than a group of PSTs who attended a more typical version of the course. Implications for teacher preparation and future research are discussed.

1. Ambrose, R., Clement, L., Philipp, R., & Chauvot, J. (2004). A web-based survey to assess prospective elementary school teachers' beliefs about mathematics and mathematics learning: an alternative to Likert scales. School Science and Mathematics, 104(2), 56−69. CrossRef

2. Benbow, R. M. (1995). Mathematics beliefs in an "early teaching experience". Proceedings of the annual conference of the North American chapter of the International group for the psychology of mathematics education. (ERIC Document Reproduction Service No. ED391662.)

3. Biedermann, H., Brühwiler, C., & Steinmann, S. (2012). Making the impossible possible? Establishing beliefs about teaching and learning during teacher training courses. In J. König (Ed.), Teachers' pedagogical beliefs (pp. 37−52). Münster: Waxmann.

4. Blömeke, S. (2012). Does greater teacher knowledge lead to student orientation? The relationship between teacher knowledge and teacher beliefs. In J. König (Ed.), Teachers pedagogical beliefs (pp. 15−36). Münster: Waxmann.

5. 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. CrossRef

6. Foss, D. H., & Kleinsasser, R. C. (1996) Preservice elementary teachers' views of pedagogical and mathematical content knowledge. Teaching and Teacher Education, 12(4), 429−442. CrossRef

7. Handal, B. (2003). Teachers' mathematical beliefs: A review. The Mathematics Educator, 13(2), 47−57.

8. Müller-Fohrbrodt, G., Cloetta, B., & Dann, H. D. (1978). Der Praxisschock bei jungen Lehrern [Novice teachers' shock in practice]. Stuttgart: Klett Verlag.

9. Op't Eynde, P., De Corte, E., & Verschaffel, L. (2002). Framing students' mathematics-related beliefs: A quest for conceptual clarity and a comprehensive categorization. In G. Leder, E. Pehkone, & G. Toerner (Eds.), Beliefs − a hidden variable in mathematics education? (pp. 13−37). Dordrecht: Kluwer. CrossRef

10. Pajares, M. F. (1992). Teachers' beliefs and educational research: Cleaning up a messy construct. Review of Educational Research, 62(3), 307−332. CrossRef

11. Philipp, R., & Schappelle, B. (2003). IMAP Web-Based Beliefs Survey Manual. Retrieved from http://www.sci.sdsu.edu/CRMSE/IMAP/Beliefs-Survey_Manual.pdf.

12. Philipp, R. A. (2007). Mathematics teachers. Beliefs and affect. In F. K. Lester, Jr. (Ed.), Second handbook of research on mathematics teaching and learning (pp. 257−315). Charlotte: Information Age Publishing.

13. Philipp, R. A., Ambrose, R., Lamb, L. L., Sowder, J. T., Schappelle, B. P., Sowder, L., … Chauvot, J. (2007). Effects of early field experiences on the mathematical content knowledge and beliefs of prospective elementary school teachers: An experimental study. Journal for Research in Mathematics Education, 38(5), 438−476.

14. Richardson, V. (1996). The role of attitudes and beliefs in learning to teach. In J. Sikula, T. Buttery, & E. Guyton (Eds.), Handbook of research on teacher education (pp. 102−119). New York: Macmillan.

15. 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. CrossRef

16. Santagata, R., & Guarino, J. (2011). Using video to teach future teachers to learn from teaching. ZDM The International Journal of Mathematics Education, 43(1), 133−145. CrossRef

17. Santagata, R., Jovel J., & Yeh, C. (under review). Learning to analyze teaching: A study of pre-service teachers' group conversations around videos of mathematics teaching.

18. Schoenfeld, A. H. (2011). Toward professional development for teachers grounded in a theory of decision making. Mathematics Education, 43(4), 457−469. CrossRef

19. Wang, J., & Hartley, K. (2003). Video technology as a support for teacher education reform. Journal of Technology and Teacher Education, 11(1), 105−138.