Dynamic Mathematics Interviews in Primary Education: The Relationship Between Teacher Professional Development and Mathematics Teaching



mathematics teacher education research, professional development, dynamic mathematics interview, teaching behaviour, mathematical knowledge for teaching, self-efficacy, primary school teachers


In this quasi-experimental study involving 23 fourth grade teachers, we investigated the effect of implementing teacher-child dynamic mathematics interviews to improve mathematics teaching behavior in the classroom. After a baseline period of 13 months, the teachers participated in a professional development program to support the use of dynamic mathematics interviews followed by a period of practice in mathematics interviewing to identify children’s mathematics learning needs. To determine the effects of the teacher professional development program, pretest and posttest videos of mathematics interviews were compared. To analyse the effects of the intervention, mathematics teaching behavior, mathematics teaching self-efficacy and perceived mathematical knowledge for teaching were measured. Results showed not only the effect of the program on the quality of the dynamic mathematics interviews, but also the effects of the intervention on mathematics teaching behavior, mathematics teaching self-efficacy and mathematical knowledge for teaching.


Allsopp, D. H., Kyger, M. M., Lovin, L. A., Gerretson, H., Carson, K. L., & Ray, S. (2008). Mathematics dynamic assessment: Informal assessment that responds to the needs of struggling learners in mathematics. Council for Exceptional Children, 40(3), 6–16. https://doi.org/10.1177/004005990804000301

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. https://doi.org/10.1177/0022487108324554

Bannink, F. (2010). 1001 Solution-focused questions: Handbook for solution-focused interviewing (2nd ed.). W.W. Norton.

Borko, H., Koellner, K., Jacobs, J., & Seago, N. (2011). Using video representations of teaching in practice-based professional development programs. ZDM—Mathematics Education, 43(1), 175–187. https://doi.org/10.1007/s11858-010-0302-5

Caffrey, E., Fuchs, D., & Fuchs, L. S. (2008). The predictive validity of dynamic assessment: A review. The Journal of Special Education, 41(4), 254–270. https://doi.org/10.1177/0022466907310366

Campbell, P. F., Rust, A. H., Nishio, M., DePiper, J. N., Smith, T. M., Frank, T. J., & Choi, Y. (2014). The relationship between teachers’ mathematical content and pedagogical knowledge, teachers’ perceptions, and student achievement. Journal for Research in Mathematics Education, 45(4), 419–459. http://www.jstor.org/stable/10.5951/jresematheduc.45.4.0419

Carney, M., Brendefur, J., Thiede, K., Hughes, G., & Sutton, J. (2016). Statewide mathematics professional development: Teacher knowledge, self-efficacy, and beliefs. Educational Policy, 30(4), 539–572. https://doi.org/10.1177/0895904814550075

Chang, Y. L. (2015). Examining relationships among elementary mathematics teachers’ efficacy and their students’ mathematics self-efficacy and achievement. Eurasia Journal of Mathematics, Science & Technology Education, 11(6), 1307–1320. https://doi.org/10.12973/eurasia.2015.1387a

Charalambous, C. Y. (2015). Working at the intersection of teacher knowledge, teacher beliefs, and teaching practice: A multiple-case study. Journal of Mathematics Teacher Education, 18(5), 427–445. https://doi.org/10.1007/s10857-015-9318-7

Copur-Gencturk, Y., Plowman, D., & Bai, H. (2019). Mathematics teachers’ learning: Identifying key learning opportunities linked to teachers’ knowledge growth. American Educational Research Journal, 56(5), 1590–1628. https://doi.org/10.3102/0002831218820033

Delfos, M. F. (2001). Are you listening to me? Communicating with children from four to twelve years old. SWP Publishers.

Desimone, L. M. (2009). Improving impact studies of teachers’ professional development: Toward better conceptualizations and measures. Educational Researcher, 38(3), 181–200. https://doi.org/0.3102/0013189X08331140

Deunk, M., Smale-Jacobse, A., De Boer, H., Doolaard, S., & Bosker, R. (2018). Effective differentiation practices: A systematic review and meta-analysis of studies on the cognitive effects of differentiation practices in primary education. Educational Research Review, 24(1), 31–54. https://doi.org/10.1016/j.edurev.2018.02.002

Dudley, P. (2013). Teacher learning in Lesson Study: What interaction-level discourse analysis revealed about how teachers utilised imagination, tacit knowledge of teaching and fresh evidence of pupils learning, to develop practice knowledge and so enhance their pupils' learning. Teaching and Teacher Education, 34(2), 107–121. https://doi.org/10.1016/j.tate.2013.04.006

Emerson, J., & Babtie, P. (2014). The dyscalculia assessment (2nd ed.). Bloomsbury Education.

Forgasz, H. J., & Cheeseman, J. (2015). Effective and inclusive mathematics teaching and learning. In J. M. Deppeler, T. Loreman, R. Smith, & L. Florian (Eds)., Inclusive pedagogy across the curriculum (pp. 73–97). Emerald Group Publishing. https://doi.org/10.1108/s1479-363620150000007011

Franke, M. L., Carpenter, T. P., Levi, L., & Fennema, E. (2001). Capturing teachers' generative change: A follow-up study of professional development in mathematics. American Educational Research Journal, 38(3), 653–689. https://doi.org/10.3102/00028312038003653

Gal’perin, P. J. A. (1978). De organisatie van de cognitieve activiteit en de optimalisering van het onderwijsleerproces [The organisation of cognitive activities and the optimizing of the educational learning process]. Pedagogische Studiën, 55, 218–227.

Ginsburg, H. P. (1997). Entering the child’s mind. Cambridge University Press.

Ginsburg, H. P. (2009). The challenge of formative assessment in mathematics education: Children’s minds, teachers’ minds. Human Development, 52(2), 109–128. https://doi.org/10.1159/000202729

Goei, S. L., & Schipper, T. (2016). Teachers' sense of self-efficacy scale: Teachers' opinions quasi-experimental version 2.0 TSES. Dutch online version. Free University.

Groth, R. E., Bergner, J. A., & Burgess, C. R. (2016). An exploration of prospective teachers’ learning of clinical interview techniques. Mathematics Teacher Education and Development, 18(2), 47–71. https://mted.merga.net.au/index.php/mted/article/view/286

Heck, D. J., Plumley, C. L., Stylianou, D. A., Smith, A. A., & Moffett, G. (2019). Scaling up innovative learning in mathematics: Exploring the effects of different professional development approaches on teacher knowledge, beliefs, and instructional practice. Educational Studies in Mathematics, 102(3), 319–342. https://doi.org/10.1007/s10649-019-09895-6

Heng, M. A., & Sudarshan, A. (2013). “Bigger means you plus!” Teachers learning to use clinical interviews to understand students’ mathematical thinking. Educational Studies in Mathematics, 83, 471–485. https://doi.org/10.1007/s10649-013-9469-3

Hill, H. C., Blunk, M. L., Charalambous, C. Y., Lewis, J. M., 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(4), 430–511. https://doi.org/10.1080/07370000802177235

Hoth, J., Döhrmann, M., Kaiser, G., Busse, A., König, J., & Blömeke, S. (2016). Diagnostic competence of primary school mathematics teachers during classroom situations. ZDM—Mathematics Education, 48(1–2), 1–53. https://doi.org/10.1007/s11858-016-0759-y

Janssen, J., Scheltens, F., & Kraemer, J. M. (2005). Leerling- en onderwijsvolgsysteem rekenen-wiskunde [Student monitoring system mathematics]. Cito.

Jeltova, I., Birney, D., Fredine, N., Jarvin, L., Sternberg, R., & Grigorenko, E. (2007). Dynamic assessment as a process-oriented assessment in educational settings. Advances in Speech Language Pathology, 9(4), 273–285. https://doi.org/10.1080/14417040701460390

Kaiser, G., Blömeke, S., Köning, J., Busse, A., Döhrmann, M., & Hoth, J. (2017). Professional competencies of (prospective) mathematics teachers: Cognitive versus situated approaches. Educational Studies in Mathematics, 94(2), 161–182. https://doi.org/10.1007/s10649-016-9713-8

Kaskens, J., Segers, E., Goei, S. L., Van Luit, J. E. H., & Verhoeven, L. (2020). Impact of children’s math self-concept, math self-efficacy, math anxiety, and teacher competencies on mathematical development. Teaching and Teacher Education, 94, Article 103096. https://doi.org/10.1016/j.tate.2020.103096

Kaskens, J., Segers, E., Goei, S. L., Verhoeven, L., & Van Luit, J. E. H. (2016). Teachers’ sense of mathematical knowledge for teaching questionnaire. Radboud University.

Ketterlin-Geller, L. R., & Yovanoff, P. (2009). Diagnostic assessments in mathematics to support instructional decision making. Practical Assessment, Research & Evaluation, 14(1), 1–11. https://doi.org/10.7275/vxrk-3190

Kim, J. S., & Franklin, C. (2009). Solution-focused brief therapy in schools: A review of the outcome literature. Children and Youth Services Review, 31(4), 464–470. https://doi.org/10.1016/j.childyouth.2008.10.002

Klassen, R. M., & Tze, V. M. C. (2014). Teachers’ self-efficacy, personality, and teaching effectiveness: A meta-analysis. Educational Research Review, 12, 59–76. https:/doi.org/10.1016/j.edurev.2014.06.001.

Lee, C., & Johnston-Wilder, S. (2013). Learning mathematics–letting the pupils have their say. Educational Studies in Mathematics, 83(2), 163–180. https://doi.org/10.1007/s10649-012-9445-3

Mayring, P. (2015). Qualitative content analysis: Theoretical background and procedures. In A. Bikner-Ahsbahs, C. Knipping, & N. Presmeg (Eds.), Approaches to qualitative research in mathematics education (pp. 365–380). Springer.

McDonough, A. M., Clarke, B., & Clarke, D. M. (2002). Understanding, assessing and developing children’s mathematical thinking: The power of a one-to-one interview for preservice teachers in providing insights into appropriate pedagogical practices. International Journal of Educational Research, 37(2), 211–226. https://doi.org/10.1016/S0883-0355(02)00061-7

Nurlu, Ö. (2015). Investigation of teachers’ mathematics teaching self-efficacy. International Electronic Journal of Elementary Education, 8(1), 21–40. https://www.iejee.com/index.php/IEJEE/article/view/95

Pellegrino, J. W., Chudowsky, N., & Glaser, R. (2001). Knowing what students know: The science and design of educational assessment. National Academic Press.

Polya, G. (1957). How to solve it: A new aspect of mathematical method (2nd ed.). Princeton University Press.

Porter, A. C., Garet, M. S., Desimone, L., Birman, B. F., & Suk Yoon, K. (2000). Does professional development change teaching practice? Results from a three-year study. United States Department of Education. https://www.ed.gov/pubs/edpubs.html.

Reynolds, D., & Muijs, D. (1999). The effective teaching of mathematics: A review of research. School Leadership & Management, 19(3), 273–288. https://doi.org/10.1080/13632439969032

Shulman, L. S. (1987). Knowledge and teaching: Foundations of the new reforms. Harvard Educational Review, 57(1), 1-22. http://dx.doi.org/10.17763/haer.57.1.j463w79r56455411

Seethaler, P. M., Fuchs, L. S., Fuchs, D., & Compton, D. L. (2012). Predicting first graders' development of calculation versus word-problem performance: The role of dynamic assessment. Journal of Educational Psychology, 104(1), 224–234. https://doi.org/10.1037/a0024968

Tripp, T. R., & Rich, P. J. (2012). The influence of video analysis on the process of teacher change. Teaching and Teacher Education, 28(5), 728–739. https://doi.org/10.1016/j.tate.2012.01.011

Tschannen-Moran, M., & Woolfolk Hoy, A. (2001). Teacher efficacy: Capturing an elusive construct. Teaching and Teacher Education, 17(7), 783–805. https://doi.org/10.1016/S0742-051X(01)00036-1

Van de Grift, W. (2007). Quality of teaching in four European countries: A review of the literature and application of an assessment instrument. Educational Research, 49(2), 127–152. https://doi.org/10.1080/00131880701369651

Van der Lans, R. M., Van de Grift, W. J. M., & Van Veen, K. (2018). Developing an instrument for teacher feedback: Using the Rasch model to explore teachers' development of effective teaching strategies and behaviors. The Journal of Quasi-experimental Education, 86(2), 247–264. https://doi.org/10.1080/00220973.2016.1268086

Van Driel, J., Meirink, J., Van Veen, K., & Zwart, R. (2012). Current trends and missing links in studies on teacher professional development in science education: A review of design features and quality of research. Studies in Science Education, 48(2), 129–160. https://doi.org/10.1080/03057267.2012.738020

Van Luit, J. E. H. (2019). Diagnostics of dyscalculia. In A. Fritz, V. G. Haase, & P. Räsänen (Eds.), International handbook of mathematical learning difficulties: From the laboratory to the classroom (pp. 653–668). Springer. https://doi.org/10.1007/978-3-319-97148-3_38

Wilkins, J. L. M. (2008). The relationship among elementary teachers’ content knowledge, attitudes, beliefs, and practices. Journal of Mathematics Teacher Education, 11(2), 139–164. https://doi.org/10.1007/s10857-007-9068-2

Wright, R. J., Martland, J., & Stafford, A. (2006). Early numeracy: Assessment for teaching and intervention (2nd ed.). Paul Chapman Publications; SAGE Publications.