Are beliefs believable? An investigation of novice mathematics teachers’ beliefs and teaching practices
Mustafa Guler 1 * ,
Derya Celik 1 More Detail
1 Department of Mathematics Education, Fatih Faculty of Education, Trabzon University, Trabzon, TURKEY
* Corresponding Author
EUR J SCI MATH ED, Volume 11, Issue 3, pp. 410-426.
https://doi.org/10.30935/scimath/12905
Published Online: 29 January 2023, Published: 01 July 2023
OPEN ACCESS 1516 Views 771 Downloads
ABSTRACT
Observing 17 teachers for a total of 116 hours, this paper examined whether a relationship between the beliefs of novice mathematics teachers and their classroom practices exists. A Spearman correlation analysis showed a modest relation between beliefs about the nature of mathematics and about learning mathematics, while the relationship between beliefs about mathematics achievement and these other two components was weak and statistically insignificant. Unexpectedly, the relationship between teachers’ beliefs and their teaching practices has been found to be much different than anticipated, and in some cases, the relationships were even negative. The researchers conclude with a discussion of further implications.
CITATION
Guler, M., & Celik, D. (2023). Are beliefs believable? An investigation of novice mathematics teachers’ beliefs and teaching practices.
European Journal of Science and Mathematics Education, 11(3), 410-426.
https://doi.org/10.30935/scimath/12905
REFERENCES
- Aggarwal, R., & Ranganathan, P. (2016). Common pitfalls in statistical analysis: The use of correlation techniques. Perspectives in Clinical Research, 7(4), 187-190. https://doi.org/10.4103/2229-3485.192046
- Aljaberi, N. M., & Gheith, E. (2018). In-service mathematics teachers’ beliefs about teaching, learning and nature of mathematics and their mathematics teaching practices. Journal of Education and Learning, 7(5), 156-173. https://doi.org/10.5539/jel.v7n5p156
- Baki, A. (2014). Matematik tarihi ve felsefesi [History and philosophy of mathematics]. Pegem Academy Publishing.
- 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
- Baumert, J., Kunter, M., Blum, W., Brunner, M., Voss, T., Jordan, A., Klusmann, U., Krauss, S., Neubrand, M., & Tsai, Y.-M. (2010). Teachers’ mathematical knowledge, cognitive activation in the classroom, and student progress. American Educational Research Journal, 47(1), 133-180. https://doi.org/10.3102/0002831209345157
- Beswick, K. (2006). The importance of mathematics teachers’ beliefs. Australian Mathematics Teacher, 62(4), 17-22.
- Blömeke, S., Gustafsson, J. E., & Shavelson, R. (2015). Beyond dichotomies: Viewing competence as a continuum. Zeitschrift für Psychologie [Journal of Psychology], 223(1), 3-13. https://doi.org/10.1027/2151-2604/a000194
- Blömeke, S., Kaiser, G., König, J., & Jentsch, A. (2020). Profiles of mathematics teachers’ competence and their relation to instructional quality. ZDM Mathematics Education, 52, 329-342. https://doi.org/10.1007/s11858-020-01128-y
- Brain, C. (2001). Advanced psychology: Applications, issues and perspectives. Nelson Thornes.
- Burden, P. R. (1979). Teachers’ perceptions of the characteristics and influences on their personal and professional development [Unpublished doctoral dissertation]. The Ohio State University.
- Cankoy, O. (2010). Mathematics teachers’ topic-specific pedagogical content knowledge in the context of teaching a [superscript 0], 0! and a [division] 0. Educational Sciences: Theory and Practice, 10(2), 749-769.
- Celik, D., Ozmen, Z. M., Aydin, S., Guler, M., Birgin, O., Acikyildiz, G., & Gurbuz, R. (2018). A national comparison of pre-service elementary mathematics teachers’ beliefs about mathematics: The case of Turkey. Education and Science, 43(193), 289-315. https://doi.org/10.15390/EB.2018.7133
- Cooney, T. (2003). Mathematics teacher education in rural communities: Developing a foundation for action [Paper presentation]. The Annual Meeting of the NCTM Research Pre-Session.
- Corkin, D. M., Ekmekci, A., & Papakonstantinou, A. (2015). Antecedents of teachers’ educational beliefs about mathematics and mathematical knowledge for teaching among in-service teachers in high poverty urban schools. Australian Journal of Teacher Education, 40(9), 31-62. https://doi.org/10.14221/ajte.2015v40n9.3
- Cross, D. I. (2009). Alignment, cohesion, and change: Examining mathematics teachers’ belief structures and their influence on instructional practices. Journal of Mathematics Teacher Education, 12(5), 325-346. https://doi.org/10.1007/s10857-009-9120-5
- Di Martino, P., & Sabena, C. (2010). Teachers’ beliefs: The problem of inconsistency with practice. In Proceedings of the XXXIV Conference of the International Group for the Psychology of Mathematics Education (pp. 313-320). PME.
- Dionne, J. (1984). The perception of mathematics among elementary school teachers. In J. Moser (Ed.), Proceedings of the 6th Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (pp. 223-228). University of Wisconsin.
- Ernest, P. (1989). The impact of beliefs on the teaching of mathematics. In P. Ernest (Ed.) Mathematics teaching. The state of art (pp. 249-254). Falmer Press.
- Ernest, P. (1991). Philosophy of mathematics education. Falmer Press.
- Fang, Z. (1996). A review of research on teacher beliefs and practices. Educational Research, 38(1), 47-65. https://doi.org/10.1080/0013188960380104
- Fennema, E., Carpenter, T. P., & Peterson, P. L. (1989). Teachers’ decision making and cognitively guided instruction: A new paradigm for curriculum development. In N. F. Ellerton, & M. A. Clements (Eds.), School mathematics: The challenge to change (pp. 174-187). Deakin University.
- Fisher, C. (1990). The research agenda project as prologue. Journal for Research in Mathematics Education, 21, 81-89. https://doi.org/10.5951/jresematheduc.21.1.0081
- Francis, D. C. (2015). Dispelling the notion of inconsistencies in teachers’ mathematics beliefs and practices: A 3-year case study. Journal of Mathematics Teacher Education, 18(2), 173-201. https://doi.org/10.1007/s10857-014-9276-5
- Francis, D. C., Rapacki, L., & Eker, A. (2014). A review of the research on teachers’ beliefs related to mathematics. In H. Fives, & M. G. Gill (Eds.), International handbook of research on teachers’ beliefs (pp. 336-352). Routledge.
- Furinghetti, F., & Pehkonen, E. (2002). Rethinking characterizations of beliefs. In G. C. Leder, E. Pehkonen, & G. Törner (Eds.), Beliefs: A hidden variable in mathematics education? (pp. 39-58). Kluwer. https://doi.org/10.1007/0-306-47958-3_3
- Gleason, J., Livers, S., & Zelkowski, J. (2017). Mathematics classroom observation protocol for practices (MCOP2): A validation study. Investigations in Mathematics Learning, 9(3), 111-129. https://doi.org/10.1080/19477503.2017.1308697
- Greer, M. A., Hudson, L. M., & Wiersma, W. (1999). The constructivist teaching inventory: A new instrument for assessing constructivist teaching practices in the elementary grades [Paper presentation]. The Annual Meeting of the American Educational Research Association.
- Grootenboer, P. (2009). Rich mathematical tasks in the maths in the Kimberley (MITK) project. In R. Hunter, B. Bicknell, & T. Burgess (Eds.), Proceedings of the 32nd Annual Conference of the Mathematics Education Research Group of Australasia, Wellington, NZ (pp. 696-699). MERGA.
- Guler, M. (2019). A model proposal for developing teaching knowledge of novice middle-school mathematics teachers: Mentoring practice program [Unpublished doctoral dissertation]. Trabzon University.
- Guler, M., & Celik, D. (2022). Supporting novice mathematics teachers: The impact of e-mentoring on lesson analysis skills. Teaching and Teacher Education, 113, 103658. https://doi.org/10.1016/j.tate.2022.103658
- Guler, M., Cekmez, E., & Celik, D. (2020). Breaking with tradition: An investigation of an alternative instructional sequence designed to improve prospective teachers’ noticing skills. Teaching and Teacher Education, 92, 103073. https://doi.org/10.1016/j.tate.2020.103073
- Hersch, R. (1986). Some proposals for revising the philosophy of mathematics. In T. Tymoczko (Ed.), New directions in the philosophy of mathematics (pp. 9-28). Birkhauser.
- Isiksal-Bostan, M., Sahin, E., & Ertepinar, H. (2015). Teacher beliefs toward using alternative teaching approaches in science and mathematics classes related to experience in teaching. International Journal of Environmental and Science Education, 10(5), 603-621.
- Kaplan, R. G. (1991). Teacher beliefs and practices: A square peg in a square hole. In Proceedings of the Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education.
- Krauss, S., Baumert, J., & Blum, W. (2008). Secondary mathematics teachers’ pedagogical content knowledge and content knowledge: validation of the COACTIV constructs. ZDM Mathematics Education, 40(5), 873-892. https://doi.org/10.1007/s11858-008-0141-9
- Leatham, K. R. (2006). Viewing mathematics teachers’ beliefs as sensible systems. Journal of Mathematics Teacher Education, 9(1), 91-102. https://doi.org/10.1007/s10857-006-9006-8
- Lovin, L. H., Sanchez, W. B., Leatham, K. R., Chauvot, J. B., Kastberg, S. E., & Norton, A. H. (2012). Examining beliefs and practices of self and others: Pivotal points for change and growth for mathematics teacher educators. Studying Teacher Education, 8(1), 51-68. https://doi.org/10.1080/17425964.2012.657018
- MacIsaac, D., & Falconer, K. (2002). Reforming physics instruction via RTOP. The Physics Teacher, 40(8), 479-485. https://doi.org/10.1119/1.1526620
- Mcleod, D. B. (1992). Research on affect in mathematics education: A reconceptualization. In D. A. Grows (Ed.), Handbook of research on mathematics teaching and learning (pp. 575-596). Macmillan.
- Mok, Y. F. (2005). Teacher concerns and teacher life stages. Research in Education, 73, 53-72. https://doi.org/10.7227/RIE.73.5
- Ngang, T. K., & Chan, T. C. (2015). The importance of ethics, moral and professional skills of novice teachers. Procedia-Social and Behavioral Sciences, 205, 8-12. https://doi.org/10.1016/j.sbspro.2015.09.004
- Nisbet, S., & Warren, E. (2000). Primary school teachers’ beliefs relating to mathematics, teaching and assessing mathematics and factors that influence these beliefs. Mathematics Teacher Education and Development, 2, 34-47.
- Ogan-Bekiroglu, F., & Akkoc, H. (2009). Preservice teachers’ instructional beliefs and examination of consistency between beliefs and practices. International Journal of Science and Mathematics Education, 7(6), 1173-1193. https://doi.org/10.1007/s10763-009-9157-z
- Polly, D., McGee, J. R., Wang, C., Lambert, R. G., Pugalee, D. K., & Johnson, S. (2013). The association between teachers’ beliefs, enacted practices, and student learning in mathematics. The Mathematics Educator, 22(2), 11-30.
- Purnomo, Y. W. (2017). The complex relationship between teachers’ mathematics-related beliefs and their practices in mathematics class. The New Educational Review, 47(1), 200-210. https://doi.org/10.15804/tner.2017.47.1.16
- Raymond, A. M. (1997). Inconsistency between a beginning elementary school teacher’s mathematics beliefs and teaching practice. Journal for Research in Mathematics Education, 28(5), 550-576. https://doi.org/10.5951/jresematheduc.28.5.0550
- Richardson, V. (1996). The role of attitudes and beliefs in learning to teach. In J. Sikula (Ed.), Handbook of research on teacher education (pp. 102-119). Macmillan.
- Sigel, I. E. (1985). A conceptual analysis of beliefs. In I. E. Sigel (Ed.), Parental belief systems: The psychological consequences for children (pp. 347-371). Lawrence Erlbaum.
- Siswono, T. Y. E., Kohar, A. W., Hartono, S., Rosyidi, A. H., Kurniasari, I., & Karim, K. (2019). Examining teacher mathematics-related beliefs and problem-solving knowledge for teaching: evidence from Indonesian primary and secondary teachers. International Electronic Journal of Elementary Education, 11(5), 493-506. https://doi.org/10.26822/iejee.2019553346
- Skott, J. (2001). The emerging practices of a novice teacher: The roles of his school mathematics images. Journal of Mathematics Teacher Education, 4, 3-28. https://doi.org/10.1023/A:1009978831627
- Solomon, Y., Eriksen, E., Smestad, B., Rodal, C., & Bjerke, A. H. (2017). Prospective teachers navigating intersecting communities of practice: early school placement. Journal of Mathematics Teacher Education, 20(2), 141-158. https://doi.org/10.1007/s10857-015-9327-6
- Speer, N. M. (2005). Issues of methods and theory in the study of mathematics teachers’ professed and attributed beliefs. Educational Studies in Mathematics, 58(3), 361-391. https://doi.org/10.1007/s10649-005-2745-0
- Stipek, D. J., Givvin, K. B., Salmon, J. M., & MacGyvers, V. L. (2001). Teachers’ beliefs and practices related to mathematics instruction. Teaching and Teacher Education, 17(2), 213-226. https://doi.org/10.1016/S0742-051X(00)00052-4
- Tang, S. J., & Hsieh, F. J. (2014). The cultural notion of teacher education: Future lower secondary teachers’ beliefs on the nature of mathematics, the learning of mathematics and mathematics achievement. In S. Blömeke, F. J. Hsieh, G. Kaiser, & W. H. Schmidt (Eds.), International perspectives on teacher knowledge, beliefs and opportunities to learn TEDS-M Results (pp. 231-253). Springer. https://doi.org/10.1007/978-94-007-6437-8_11
- Tarasenkova, N. A., & Akulenko, I. A. (2013). Determination of students’ beliefs is one of the aspects of competence oriented system of mathematics teachers’ methodical preparation. American Journal of Educational Research, 1(11), 477-483. https://doi.org/10.12691/education-1-11-4
- Tatto, A., Teresa, M., Schwille Prof, J., Senk Prof, S., Lawrence, C., Peck Mr, R., & Rowley Dr, G. (2012). Policy, practice, and readiness to teach primary and secondary mathematics in 17 countries: Findings from the IEA teacher education and development study in mathematics (TEDS-M). International Association for the Evaluation of Educational Achievement.
- Tatto, M. T., Schwille, J., Senk, S., Ingvarson, L., Peck, R., & Rowley, G. (2008). Teacher education and development study in mathematics (TEDS-M): Conceptual framework. Teacher Education and Development International Study Center, College of Education, Michigan State University.
- Thompson, A. G. (1992). Teachers’ beliefs and conceptions: A synthesis of the research. In D. A. Grouws (Ed.), Handbook of research on mathematics teaching and learning (pp. 127-146). Macmillan.
- Toluk-Ucar, Z., & Demirsoy, N. H. (2010). Tension between old and new mathematics teachers’ beliefs and practices. Hacettepe University Journal of Education, 39, 321-332.
- Uysal, F., & Dede, Y. (2019). Mathematics teachers’ mathematical beliefs based on their gender. Ondokuz Mayis University Journal of Education Faculty, 38(1), 215-237.
- Vosniadou, S., Lawson, M. J., Wyra, M., Van Deur, P., Jeffries, D., & Ngurah, D. I. G. (2020). Pre-service teachers’ beliefs about learning and teaching and about the self-regulation of learning: a conceptual change perspective. International Journal of Educational Research, 99, 101495. https://doi.org/10.1016/j.ijer.2019.101495
- Whitehurst, G. J., Chingos, M. M., & Lindquist, K. M. (2014). Evaluating teachers with classroom observations: Lessons learned in four districts. Brown Center on Education Policy and Brookings Institute.
- Wilkins, J. (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
- Wong, K. Y., Zaitun, T., & Veloo, P. (2001). Situated sociocultural mathematics education: Vignettes from Southeast Asian practices. In B. Atweh, H. Forgasz, & B. Nebres (Eds.), Sociocultural research in mathematics education: An international perspective (pp.113-134). Lawrence Erlbaum.
- Xenofontos, C. (2014). The cultural dimensions of prospective mathematics teachers’ beliefs: Insights from Cyprus and England. Preschool and Primary Education, 2(1), 3-16. https://doi.org/10.12681/ppej.85
- Yang, X., Kaiser, G., König, J., & Blömeke, S. (2020). Relationship between pre-service mathematics teachers’ knowledge, beliefs and instructional practices in China. ZDM Mathematics Education, 52, 281-294. https://doi.org/10.1007/s11858-020-01145-x