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Prospective primary teachers’ efficacy to teach mathematics: measuring efficacy beliefs and identifying the factors that influence them

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Abstract

Prospective teachers’ mathematics efficacy beliefs affect school placement experiences and influence later teacher behaviour and subsequent student outcomes. These efficacy beliefs are open to change during initial teacher education and become more resistant to change once the teacher enters the workforce. Therefore, it is important to measure mathematics teacher efficacy early in initial teacher education and identify low efficacy beliefs. This study measured the mathematics teaching efficacy beliefs of 402 prospective primary teachers. Arising from Rasch analysis of the efficacy scores of these teachers, 22 participants who displayed a range of mathematics teaching efficacy beliefs were interviewed to gain insights into factors affecting these beliefs. Participants communicated greater confidence in tasks requiring procedural (tell-items) than conceptual knowledge (explain-items). Both low and high efficacy participants reported traditional experiences of mathematics teaching and learning as students. However, high efficacy participants reported mastery of mathematics within these traditional contexts, whereas their low efficacy peers did not report mastery. Furthermore, all participants reported how memories of their school mathematics experiences informed their level of efficacy when thinking about teaching mathematics, thus revealing the powerful influence of mastery experiences.

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References

  • Armor, D., Conroy-Oseguera, P., Cox, M., King, N., McDonnell, L., Pascal, A., Pauly, E., & Zellman, G. (1976). Analysis of the school preferred reading programs in selected Los Angeles minority schools (Report No. R-2007-LAUSD). Santa Monica, CA: Rand Corporation (ERIC Document Reproduction Service No. 130 243).

  • Bandura, A. (1977). Self-efficacy: Towards a unifying theory of behavioural change. Psychological Review, 84, 191–215.

    Article  Google Scholar 

  • Bandura, A. (1997). Self-efficacy: The exercise of control. Freeman.

    Google Scholar 

  • Bandura, A. (Ed.). (1995). Self-efficacy in changing societies. Cambridge University Press. https://doi.org/10.1017/CBO9780511527692

  • Bekdemir, M. (2010). The pre-service teachers’ mathematics anxiety related to depth of negative experiences in mathematics classroom [sic] while they were students. Educational Studies in Mathematics, 75(3), 311–328.

    Article  Google Scholar 

  • Bjerke, A. H. (2017). The growth of self-efficacy in teaching mathematics in pre-service teachers: Developing educational purpose. NOMAD, 22(3), 71–84.

    Google Scholar 

  • Bjerke, A. H., & Eriksen, E. (2016). Measuring pre-service teachers’ self-efficacy in tutoring children in primary mathematics: An instrument. Research in Mathematics Education, 18(1), 61–79. https://doi.org/10.1080/14794802.2016.1141312

    Article  Google Scholar 

  • Bond, T., & Fox, C. (2007). Applying the Rasch model: fundamental measurement in the human sciences (2nd ed.). Lawrence Erlbaum Associates Publishers.

  • Boone, W. J. (2016). Rasch analysis for instrument development: Why, when, and how. CBE—Life Sciences Education, 15(4), 1–7.

    Article  Google Scholar 

  • Boone, W. J., & Noltemeyer, A. (2017). Rasch analysis: A primer for school psychology researchers and practitioners. Cogent Education, 4(1), 1416898.

    Article  Google Scholar 

  • Boone, W. J., Staver, J. R., & Yale, M. S. (2014). Rasch analysis in the human sciences. Springer. https://doi.org/10.1007/978-94-007-6857-4

    Book  Google Scholar 

  • Bruce, C., & Ross, J. (2008). A model for increasing reform implementation and teacher efficacy: Teacher peer coaching in grade 3 and 6 mathematics. Canadian Journal of Education, 31(2), 346–370.

    Google Scholar 

  • Central Applications Office. (2022). CAO handbook. Retrieved February 8, 2022, from http://www2.cao.ie/handbook/handbook2022/hb.pdf

  • Charalambous, C. Y., & Philippou, G. N. (2010). Teachers’ concerns and efficacy beliefs about implementing a mathematics curriculum reform: Integrating two lines of inquiry. Educational Studies in Mathematics, 75(1), 1–21. https://doi.org/10.1007/s10649-010-9238-5

    Article  Google Scholar 

  • Charalambous, C. Y., Philippou, G. N., & Kyriakides, L. (2008). Tracing the development of preservice teachers’ efficacy beliefs in teaching mathematics during fieldwork. Educational Studies in Mathematics, 61, 125–142.

  • Clerkin, A., Perkins, R., & Cunningham. R. (2016). TIMSS 2015 in Ireland: Mathematics and science in primary and post-primary schools. Educational Research Centre.

  • Depaepe, F., & König, J. (2018). General pedagogical knowledge, self-efficacy and instructional practice: Disentangling their relationship in pre-service teacher education. Teaching and Teacher Education, 69, 177–190.

    Article  Google Scholar 

  • Eccles, J. S., Midgley, C., & Adler, T. (1984). Grade-related changes in the school environment: Effects on achievement motivation. In J. Nicholls (Ed.), Advances in motivation and achievement: The development of achievement motivation (Vol. 3, pp. 283–331). JAI Press.

  • Eivers, E., Shiel, G., & Cunningham, R. (2007). Ready for tomorrow’s world? The competencies of Irish 15-yearolds in PISA 2006 summary report. Available online at: http://www.erc.ie/documents/tomorrows_world.pdf

  • Enochs, L. G., & Riggs, I. M. (1990). Further development of an elementary science teaching efficacy belief instrument: A preservice elementary scale. School Science & Mathematics, 90, 694–706.

    Article  Google Scholar 

  • Enochs, G. L., Smith, P. L., & Huinker, D. (2000). Establishing factorial validity of the mathematics teaching efficacy beliefs instrument. School Science and Mathematics, 100(4), 194–202.

    Article  Google Scholar 

  • Gabriele, A., & Joram, E. (2007). Teachers’ reflections on their reform-based teaching in mathematics: Implications for the development of teacher self-efficacy. Action in Teacher Education, 29(3), 60–74.

    Article  Google Scholar 

  • Ghaith, G., & Yaghi, H. (1997). Relationships among experience, teacher efficacy, and attitudes toward the implementation of instructional innovation. Teaching and Teacher Education, 13(4), 451–458. https://doi.org/10.1016/S0742-051X(96)00045-5

    Article  Google Scholar 

  • Gibson, S., & Dembo, M. (1984). Teacher efficacy: Construct validation. Journal of Educational Psychology, 76, 569–582.

    Article  Google Scholar 

  • Glickman, C., & Tamashiro, R. (1982). A comparison of first-year, fifth-year, and former teachers on efficacy, ego development, and problem solving. Psychology in Schools, 19, 558–562.

    Article  Google Scholar 

  • Gresham, G. (2008). Mathematics anxiety and mathematics teacher efficacy in elementary pre-service teachers. Teaching Education, 19(3), 171–184.

    Article  Google Scholar 

  • Gresham, G. (2009). An examination of mathematics teacher efficacy and mathematics anxiety in elementary pre-service teachers. Journal of Classroom Interaction, 44(2), 22–38.

    Google Scholar 

  • Gresham, G. (2010). A review of a study exploring changes in exceptional education pre-service teachers’ mathematics anxiety. Issues in the Undergraduate Mathematics Preparation of School Teachers: The Journal, 4, 1–14.

    Google Scholar 

  • Gresham, G., & Burleigh, C. (2019). Exploring early childhood preservice teachers’ mathematics anxiety and mathematics efficacy beliefs. Teaching Education, 30(2), 217–241. https://doi.org/10.1080/10476210.2018.1466875

    Article  Google Scholar 

  • Guskey, T. R. (1988). Teacher efficacy, self-concept, and attitudes toward the implementation of instructional innovation. Teaching and Teacher Education, 4(1), 63–69. https://doi.org/10.1016/0742-051X(88)90025-X

    Article  Google Scholar 

  • Han, J., Yin, H., & Wang, W. (2016). The effect of tertiary teachers’ goal orientations for teaching on their commitment: The mediating role of teacher engagement. Educational Psychology, 36, 526–547. https://doi.org/10.1080/01443410.2015.1044943

    Article  Google Scholar 

  • Harkness, S. S., D’Ambrosio, B., & Morrone, A. S. (2007). Preservice elementary teachers’ voices describe how their teacher motivated them to do mathematics. Educational Studies in Mathematics, 65, 235–254. https://doi.org/10.1007/s10649-006-9045-

    Article  Google Scholar 

  • Haverback, H. R., & McNary, S. (2015). Shedding light on preservice teachers’ domain-specific self-efficacy. The Teacher Educator, 50(4), 272–287. https://doi.org/10.1080/08878730.2015.1070942

    Article  Google Scholar 

  • Hourigan, M., & Leavy, A. M. (2019). The influence of entry route to teaching on Irish pre-service primary teachers’ attitudes towards mathematics. Journal of Further and Higher Education, 43(7–8), 869–883. https://doi.org/10.1080/0309877X.2017.1420148

    Article  Google Scholar 

  • Hourigan, M., & O’ Donoghue, J. (2015). Addressing prospective elementary teachers’ mathematics subject matter knowledge through action research. International Journal of Mathematical Education in Science and Technology, 46(1), 56–75.

    Article  Google Scholar 

  • Hoy, A. W., & Spero, R. B. (2005). Changes in teacher efficacy during the early years of teaching: A comparison of four measures. Teaching and Teacher Education, 21(4), 343–356.

    Article  Google Scholar 

  • Hoy, W. K., & Woolfolk, A. E. (1990). Socialization of student teachers. American Educational Research Journal, 27, 279–300.

    Article  Google Scholar 

  • Hoy, W. K., & Woolfolk, A. E. (1993). Teachers’ sense of efficacy and the organizational health of schools. The Elementary School Journal, 93, 356–372.

    Article  Google Scholar 

  • Huinker, D., & Enochs, L. (1995). Mathematics teaching efficacy beliefs instrument (MTEBI). University of Wisconsin.

    Google Scholar 

  • Kieftenbeld, V., Natesan, P., & Eddy, C. (2011). An item response theory analysis of the mathematics teaching efficacy beliefs instrument. Journal of Psychoeducatioal Assessment, 29(5), 443–454.

    Article  Google Scholar 

  • Klassen, R. M., Tze, V. M., Betts, S. M., & Gordon, K. A. (2011). Teacher efficacy research 1998–2009: Signs of progress or unfulfilled promise? Educational Psychology Review, 23(1), 21–43.

    Article  Google Scholar 

  • Limin, C. H. E. N., Van Dooren, W., & Verschaffel, L. (2013). The relationship between students’ problem posing and problem solving abilities and beliefs: A small-scale study with Chinese elementary school children. Frontiers of Education in China, 8(1), 147–161.

    Article  Google Scholar 

  • Linacre, J. M. (2014). WINSTEPS Rasch measurement (version 3.81.0). Beaverton.

  • MacMillan, J. H., & Schumacher, S. (2001) Research in education. A conceptual introduction (5th ed.).  Longman.

  • McMahon Giles, R., Byrd, K. O., & Bendolph, A. (2016). An investigation of elementary teachers’ self-efficacy for teaching mathematics. Cogent Education, 3(1), 1–11. https://doi.org/10.1080/2331186X.2016.1160523

    Article  Google Scholar 

  • Middleton, M. J., Kaplan, A., & Midgley, C. (2004). The change in middle school students’ achievement goals in mathematics over time. Social Psychology of Education: An International Journal, 7(3), 289–311.

    Article  Google Scholar 

  • Midgley, C., Feldlaufer, H., & Eccles, J. (1989). Change in teacher efficacy and student self- and task-related beliefs in mathematics during the transition to junior high school. Journal of Educational Psychology, 81, 247–258.

    Article  Google Scholar 

  • Miles, M. B., & Huberman, A. M. (1994). Qualitative data analysis (2nd ed.). Sage Publications.

  • Morrone, A. S., Harkness, S. S., D’Ambrosio, B., & Caulfield, R. (2004). Patterns of instructional discourse that promote the perception of mastery goals in a social constructivist mathematics course. Educational Studies in Mathematics, 56, 19–38. https://doi.org/10.1023/B:EDUC.000002840

    Article  Google Scholar 

  • Mulholland, J., & Wallace, J. (2001). Teacher induction and elementary science teaching: Enhancing self-efficacy. Teaching and Teacher Education, 17, 243–261.

    Article  Google Scholar 

  • National Council for Curriculum Assessment. (1999). Primary mathematics curriculum teacher guidelines. NCCA.

  • Newton, K. J., Leonard, J., Evans, B. R., & Eastburn, J. A. (2012). Preservice elementary teachers’ mathematics content knowledge and teacher efficacy. School Science and Mathematics, 112(5), 289–299.

    Article  Google Scholar 

  • Pajares, F. (1996). Self-efficacy beliefs in academic settings. Review of Educational Research, 66, 533–578.

    Article  Google Scholar 

  • Pajares, F., & Miller, M. D. (1994). Role of self-efficacy and self-concept beliefs in mathematical problem solving: A path analysis. Journal of Educational Psychology, 86(2), 193–203.

    Article  Google Scholar 

  • Phelps, C. M. (2010). Factors that pre-service elementary teachers perceive as affecting their motivational profiles in mathematics. Educational Studies in Mathematics, 75(3), 293–309.

    Article  Google Scholar 

  • Philippou, G., Charalambous, C., & Christou, C. (2001). Efficacy in problem posing and teaching problem posing. In PME Conference, 4,4–41.

  • Raudenbush, S. W., Rowan, B., & Cheong, Y. F. (1992). Contextual effects on the self-perceived efficacy of high school teachers. Sociology of Education, 65(2), 150–167.

    Article  Google Scholar 

  • Ross, J. A. (1994). The impact of an inservice to promote cooperative learning on the stability of teacher efficacy. Teaching and Teacher Education, 70(4), 381–394.

    Article  Google Scholar 

  • Saçkes, M., Flevares, L. M., Gonya, M., & Trundle, K. C. (2012). Preservice early childhood teachers’ sense of efficacy for integrating mathematics and science: Impact of a methods course. Journal of Early Childhood Teacher Education, 33(4), 349–364.

    Article  Google Scholar 

  • Sancar-Tomak, H. (2015). The effect of curriculum-generated play instruction on the mathematics teaching efficacies of early childhood education pre-service teachers. European Early Childhood Education Research Journal, 23(1), 5–20.

    Article  Google Scholar 

  • Schukajlow, S., Achmetli, K., & Katrin Rakoczy, K. (2019). Does constructing multiple solutions for real-world problems affect self-efficacy?. Educational Studies in Mathematics, 100, 43–60.

    Article  Google Scholar 

  • Surgenor, P., Shiel, G., Close, S., & Millar, D. (2006). Counting on success: Mathematics achievement in Irish primary schools. Department of Education and Science Inspectorate.

  • Schütze, B., Rakoczy, K., Klieme, E., Besser, M. & Leiss, D. (2017). Training effects on teachers’ feedback practice. The mediating function of feedback knowledge and the moderating role of self-efficacy. ZDM: The International Journal on Mathematics Education, 49(3), 475–489.

  • Silverman, D. (2005). Doing qualitative research. Sage.

  • 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.

    Article  Google Scholar 

  • Stromquist, N. P. (2000). On truth, voice and qualitative research. International Journal of Qualitative Studies in Education, 13(2), 139–152.

    Article  Google Scholar 

  • Suter, W. N. (2012). Introduction to educational research: A critical thinking approach (2nd ed.). Sage.

  • Swars, S. L. (2005). Examining perceptions of mathematics teaching effectiveness among elementary preservice teachers with differing levels of mathematics teacher efficacy. Journal of Instructional Psychology, 32(2), 139–147.

    Google Scholar 

  • Swars, S. L., Daane, C. J., & Giesen, J. (2006). Mathematics anxiety and mathematics teacher efficacy: What is the relationship in elementary preservice teachers? School Science and Mathematics, 106(7), 306–315.

    Article  Google Scholar 

  • Tillema, H. H. (2000). Belief change towards self-directed learning in student teachers: Immersion in practice or reflection on action. Teaching and Teacher Education, 16, 575–591.

    Article  Google Scholar 

  • Tschannen-Moran, M., & Woolfolk Hoy, A. (2001). Teacher efficacy: Capturing an elusive construct. Teaching and Teacher Education, 17, 783–805.

  • Tschannen-Moran, M., Woolfolk Hoy, A., & Hoy, W. K. (1998). Teacher efficacy: It’s meaning and measure. Review of Educational Research, 68(2), 202–248.

  • Usher, E. L. (2009). Sources of middle school students’ self-efficacy in mathematics: A investigation. American Educational Research Journal, 46(1), 275–314.

    Article  Google Scholar 

  • Voica, C., Singer, F. M., & Stan, E. (2020). How are motivation and self-efficacy interacting in problem-solving and problem-posing? Educational Studies in Mathematics, 105, 487–517.

    Article  Google Scholar 

  • Wenner, G. (2001). Science and mathematics efficacy beliefs held by practicing and prospective teachers: A five-year perspective. Journal of Science Education and Technology, 10, 181–187.

    Article  Google Scholar 

  • Wilson, C., Woolfson, L. M., & Durkin, K. (2020). School environment and mastery experience as predictors of teachers’ self-efficacy beliefs towards inclusive teaching. International Journal of Inclusive Education, 24(2), 218–234. https://doi.org/10.1080/13603116.2018.1455901

    Article  Google Scholar 

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Appendices

Appendix 1. SETcPM scale

figure a

Appendix 2. Interview protocol

A: MATHEMATICS BELIEFS AND EXPERIENCES

When you hear the word ‘mathematics’ what do you think of?

Tell me about your experience of studying mathematics to date

• What was your experience of mathematics prior to college?

• Was this experience different at different levels of your education?

Describe a ‘normal’ mathematics lesson when you were in school

• Was this experience different at different levels of education? How?

What do you remember about the topics you covered? The materials you used?

Opportunities to be involved in group work? Opportunities to share your strategies? Your experiences of testing?

• Was this experience different at different levels of education? How?

What is your level of understanding of the primary mathematics concepts (e.g. number, algebra)? Why do you think this? What evidence do you draw from?

B: BELIEFS REGARDING MATHEMATICS TEACHING

What do you think teaching mathematics will involve?

What do you consider the main factors that affect a child’s ability to learn mathematics?

What influences your beliefs? Give an example of an experience to support your beliefs

What role do you believe the teacher plays in a child’s level of success in learning mathematics?

Do you think you could teach mathematics effectively?

What rating would you give yourself out of 10? Why did you give yourself this rating? Why do you feel like that?

Do you feel you can be an effective teacher in the future?

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Leavy, A., Bjerke, A.H. & Hourigan, M. Prospective primary teachers’ efficacy to teach mathematics: measuring efficacy beliefs and identifying the factors that influence them. Educ Stud Math 112, 437–460 (2023). https://doi.org/10.1007/s10649-022-10181-1

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