An Analysis of Primary School Teacher’s Questioning in Mathematics: A Focus on Fractions
Year 2025,
Volume: 13 Issue: 25, 133 - 155
Figen Bozkuş
,
Zeynep Arslan
Abstract
Examining teachers’ questioning approaches in the classroom is critically important for effectively developing students’ mathematical thinking. In this context, the purpose of this study was to analyze the types of questions used by a fourth-grade teacher at a public middle school, focusing on the concept of fractions in mathematics instruction. To this end, ten lesson videos capturing the teacher’s instruction on fractions were analyzed according to a predetermined questioning framework. The findings indicate that the teacher predominantly used checklists and guiding questions during the lessons, while questions aimed at deepening student thinking, such as those for probing and extending thinking questions, were used less frequently. Additionally, it was found that the teacher mainly focused on procedural questions, using questions that encourage higher-order thinking in a limited manner. It was observed that the types of questions and the approach to questioning varied depending on the content of the lessons.
References
- Baysen, E. (2006). The levels of teacher questions and student answers. Kastamonu Education Journal, 14(1), 21-28.
- Behr, M. J., Lesh, R., Post, T., & Silver, E. A. (1983). Rational number concepts. Acquisition of mathematics concepts and processes, 91, 126
- Biber, A., Tuna, A. & Aktaş, O. (2013). Students’ misconceptions of fractions and its effect on solving fractions problems. Trakya University Journal of Education 3(2), 152-162. https://dergipark.org.tr/tr/pub/trkefd/issue/21474/230175
- Black, P., & Wiliam, D. (1998). Assessment and classroom learning. Assessment in Education: Principles, Policy & Practice, 5(1), 7-74. 02 http://dx.doi.org/10.1080/0969595980050102
- Bray, W. S. (2011). A collective case study of the influence of teachers’ beliefs and knowledge on error-handling practices during class discussion of mathematics. Journal for Research in Mathematics Education, 42(1), 2–38.
- Boaler, J., & Brodie, K. (2004). The importance, nature and impact of teacher questions. In D. E. McDougall, & J. A. Ross (Eds.), Proceedings of the 26th Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (pp. 774–782).
- Boerst, T., Sleep, L., Ball, D., & Bass, H. (2011). Preparing teachers to lead mathematics discussions. Teachers College Record, 113(12), 2844-2877.
- Bozkurt, A., & Polat, S. (2018). An examination of teacher’s questions for revealing students’ mathematical thinking. Turkish Journal of Computer and Mathematics Education (TURCOMAT) 9(1), 72-96.
- Caram, C.A. & Davis, P.B. (2005). Inviting student engagement with questioning. Kappa Delta Pi Record, 42 (1), 19-23. https://doi.org/10.1080/00228958.2005.10532080
- Cayton, C., Hollebrands, K., Okumus, S., & Boehm, E. (2017). Pivotal teaching moments in technology-intensive secondary geometry classrooms. Journal of Mathematics Teacher Education, 20(1), 75–100. https://doi.org/10.1007/s10857-015-9314-y
- Cengiz, N., Kline, K., & Grant, T. J. (2011). Extending students’ mathematical thinking during whole-group discussions. Journal of Mathematics Teacher Education, 14, 355–374. https://doi.org/10.1007/s10857-011-9179-7
- Chin, C. (2007). Teacher questioning in science classrooms: Approaches that stimulate productive thinking. Journal of Research in Science Teaching, 44(6), 815-843. https://doi.org/10.1002/tea.20171
- Cumhur, F. & Güven, B. (2018). Investigating of pre-service mathematics teachers’ questioning: The reflections from teaching practice course. Journal of Computer and Education Research, 6 (12), 195-221. https://doi.org/10.18009/jcer.432559
- Cumhur, F., Şahin, A., & Matteson, S. S. (2015). Questioning skills of mathematics and science teacher candidates and the ways acquiring these skills. Proceedings of the III. International Symposium on Instructional Technology and Teacher Education, 98-107.
- Çakmak Gürel, Z., Okur, M. (2016). 6th and 7th grade secondary school students’ misconceptions about fractions. Erzincan University Journal of Education Faculty 18(2), 922-952. https://doi.org/10.17556/jef.30116
- Dong, L., Clarke, D., Cao, Y., Wang, L., & Seah, W. T. (2018). Teacher questioning practices over a sequence of consecutive lessons: A case study of two mathematics teachers. Sustainability, 11(1), 139. https://doi.org/10.3390/su11010139
- Dong, L., Seah, W. T., & Clarke, D. (2015). A case study of the pedagogical tensions in teacher's questioning practices when implementing reform-based mathematics curriculum in China. Mathematics Education Research Group of Australasia.
- Dunphy, E. (2010). Exploring young children’s (mathematical) thinking: Preservice teachers reflect on the use of the one-to-one interview. International Journal of Early Years Education, 18(4), 331-347. https://doi.org/10.1080/09669760.2010.528830
- Ellis, K. (1993). Teacher questioning behavior and student learning: What research says to teachers. Retrieved from ERIC database. (ED 359572).
- Franke, M. L., Webb, N. M., Chan, A. G., Ing, M., Freund, D., & Battey, D. (2009). Teacher questioning to elicit students’ mathematical thinking in elementary school classrooms. Journal of Teacher Education, 60(4), 380-392.
- Hattie, J., & Timperley, H. (2007). The power of feedback. Review of Educational Research, 77(1), 81-112. https://doi.org/10.3102/003465430298487
- Heng, M. A., & Sudarshan, A. (2013). “Bigger number 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/s10649-012-9418-6
- Kabar, M. G. D., & Tasdan, B. T. (2020). Examining the change of pre-service middle school mathematics teachers’ questioning approaches through clinical interviews. Mathematics Teacher Education and Development, 22(1), 115-138.
- Karaağaç, M.K., Köse, L. (2015). Examination of pre-service and in-service teachers’ knowledge of students’ misconceptions on the topic of fractions. Sakarya University Journal of Education Faculty (30), 72-92.
- Kreide, A., Turner, C. E., & Tomlinson, A. (2015). Pre-service teachers' development of questioning skills through common core aligned exemplar videotaped math lessons. Proceedings of the Hawaii University International Conferences: S.T.E.A.M. & Education, Honolulu, HI, United States, June 13-15, 2015
- Koç Deniz, H. (2019). The effect of game and activity supported flipped classroom model on students` achievement in problem solving skill and reflective thinking skill based on problem solving in mathematics course. (Publication no: 606454) [Doctoral Thesis, Fırat University]
- Lamon, S. (2007). Rational numbers and proportional reasoning: Toward a theoretical framework for research. FK Lester (Ecl.), Second handbook of research on mathematics teaching and learning A project oft/we national council of teachers of mathematics, 629-667.
- Lim, W., Lee, J. E., Tyson, K., Kim, H. J., & Kim, J. (2020). An integral part of facilitating mathematical discussions: Follow-up questioning. International Journal of Science and Mathematics Education, 18, 377-398. https://doi.org/10.1007/s10763-019-09966-3
- Mason, J., & Johnston-Wilder, S. (2004). Developing thinking in geometry. Teaching Mathematics and Its Applications, 23(2), 66-76.
- McCarthy, P., Sithole, A., McCarthy, P., Cho, J., & Gyan, E. (2016). Teacher questioning strategies in mathematical classroom discourse: A case study of two grade eight teachers in Tennessee, USA. Journal of Education and Practice, 7(21), 80–89.
- McComas, W. F., & Abraham, L. (2004). Asking more effective questions. Rossier School of Education, 1-16.
- Ministry of National Education (2018a). Performance of students placed by central examination in the transition system to high schools [Educational analysis and evaluation reports series, no. 3]. Ministry of National Education.
- Ministry of National Education (2018b). Mathematics course curriculum (primary and secondary school grades 1, 2, 3, 4, 5, 6, 7, and 8). Ministry of National Education Publications.
National Council of Teacher of Mathematics [NCTM]. (2000). Principles and standards for school mathematics. The Council.
- National Council of Teachers of Mathematics. (2014). Principles to actions: Ensuring mathematics success for all. National Council of Teachers of Mathematics.
- Özdemir, Y., & Kıroğlu, K. (2019). A spatial perspective on the development of reading comprehension skills. Amasya University Journal of Faculty of Education, 8(1), 85-124.
- Özpınar, İ. (2023). Secondary school students’ attitudes and teacher-student views on questioning in mathematics course. International e-Journal of Educational Studies, 7 (14), 359-380. https://doi.org/10.31458/iejes.1238226
- Shahrill, M., & Clarke, D. J. (2014). Brunei teachers’ perspectives on questioning: Investigating the opportunities to "Talk" in mathematics lessons. International Education Studies, 7(7), 1-18. http://dx.doi.org/10.5539/ies.v7n7p1
- Siegler, R. S., Thompson, C. A., & Schneider, M. (2011). An integrated theory of whole number and fractions development. Cognitive Psychology, 62(4), 273-296.
- Smith, M. S., & Johnson, A. (2010). Teacher questioning techniques and their impact on student learning. Journal of Educational Psychology, 102(3), 789-802.
- So, J. (2015). The impact of the teacher’s questions on the learning of part-whole relations and a benchmark model in fractions (Doctoral dissertation)
- Soysal, Y., & Soysal, S. (2022). Exploring prospective classroom teacher question types for productive classroom dialogue. ECNU Review of Education, 0(0).
- Şahin, A., & Kulm, G. (2008). Sixth grade mathematics teachers’ intentions and use of probing, guiding, and factual questions. Journal of Mathematics Teacher Education, 11(3), 221-241. https://doi.org/10.1007/s10857-008-9071-2
- Van den Kieboom, L.A., Magiera, M.T. & Moyer, J.C. (2014). Exploring the relationship between K-8 prospective teachers’ algebraic thinking proficiency and the questions they pose during diagnostic algebraic thinking interviews. J Math Teacher Educ, 17, 429–461. https://doi.org/10.1007/s10857-013-9264-1
- Way, J. (2008). Using questioning to stimulate mathematical thinking. Australian Primary Mathematics Classroom, 13(3), 22-27.
- White, P. B. (2001). Conceptual questioning in the mathematics classroom. Master of Education, BEd, Universite de Moncton.
- Yee, F. P. (2002). Using short open-ended mathematics questions to promote thinking and understanding. In Proceedings of the 4th International Conference on The Humanistic Renaissance in Mathematics Education, Palermo, Italy (pp. 135-140).
An Analysis of Primary School Teacher’s Questioning in Mathematics: A Focus on Fractions
Year 2025,
Volume: 13 Issue: 25, 133 - 155
Figen Bozkuş
,
Zeynep Arslan
Abstract
Examining teachers’ questioning approaches in the classroom is critically important for effectively developing students’ mathematical thinking. In this context, the purpose of this study was to analyze the types of questions used by a fourth-grade teacher at a public middle school, focusing on the concept of fractions in mathematics instruction. To this end, ten lesson videos capturing the teacher’s instruction on fractions were analyzed according to a predetermined questioning framework. The findings indicate that the teacher predominantly used checklists and guiding questions during the lessons, while questions aimed at deepening student thinking, such as those for probing and extending thinking questions, were used less frequently. Additionally, it was found that the teacher mainly focused on procedural questions, using questions that encourage higher-order thinking in a limited manner. It was observed that the types of questions and the approach to questioning varied depending on the content of the lessons.
Ethical Statement
Ethical Committee Permission Information
Name of the board that carries out ethical assessment: İstanbul Medipol University Social and Humanities Scientific Research and Publication Ethics Board
The date and number of the ethical assessment decision: 01.10.2024 -79171
References
- Baysen, E. (2006). The levels of teacher questions and student answers. Kastamonu Education Journal, 14(1), 21-28.
- Behr, M. J., Lesh, R., Post, T., & Silver, E. A. (1983). Rational number concepts. Acquisition of mathematics concepts and processes, 91, 126
- Biber, A., Tuna, A. & Aktaş, O. (2013). Students’ misconceptions of fractions and its effect on solving fractions problems. Trakya University Journal of Education 3(2), 152-162. https://dergipark.org.tr/tr/pub/trkefd/issue/21474/230175
- Black, P., & Wiliam, D. (1998). Assessment and classroom learning. Assessment in Education: Principles, Policy & Practice, 5(1), 7-74. 02 http://dx.doi.org/10.1080/0969595980050102
- Bray, W. S. (2011). A collective case study of the influence of teachers’ beliefs and knowledge on error-handling practices during class discussion of mathematics. Journal for Research in Mathematics Education, 42(1), 2–38.
- Boaler, J., & Brodie, K. (2004). The importance, nature and impact of teacher questions. In D. E. McDougall, & J. A. Ross (Eds.), Proceedings of the 26th Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (pp. 774–782).
- Boerst, T., Sleep, L., Ball, D., & Bass, H. (2011). Preparing teachers to lead mathematics discussions. Teachers College Record, 113(12), 2844-2877.
- Bozkurt, A., & Polat, S. (2018). An examination of teacher’s questions for revealing students’ mathematical thinking. Turkish Journal of Computer and Mathematics Education (TURCOMAT) 9(1), 72-96.
- Caram, C.A. & Davis, P.B. (2005). Inviting student engagement with questioning. Kappa Delta Pi Record, 42 (1), 19-23. https://doi.org/10.1080/00228958.2005.10532080
- Cayton, C., Hollebrands, K., Okumus, S., & Boehm, E. (2017). Pivotal teaching moments in technology-intensive secondary geometry classrooms. Journal of Mathematics Teacher Education, 20(1), 75–100. https://doi.org/10.1007/s10857-015-9314-y
- Cengiz, N., Kline, K., & Grant, T. J. (2011). Extending students’ mathematical thinking during whole-group discussions. Journal of Mathematics Teacher Education, 14, 355–374. https://doi.org/10.1007/s10857-011-9179-7
- Chin, C. (2007). Teacher questioning in science classrooms: Approaches that stimulate productive thinking. Journal of Research in Science Teaching, 44(6), 815-843. https://doi.org/10.1002/tea.20171
- Cumhur, F. & Güven, B. (2018). Investigating of pre-service mathematics teachers’ questioning: The reflections from teaching practice course. Journal of Computer and Education Research, 6 (12), 195-221. https://doi.org/10.18009/jcer.432559
- Cumhur, F., Şahin, A., & Matteson, S. S. (2015). Questioning skills of mathematics and science teacher candidates and the ways acquiring these skills. Proceedings of the III. International Symposium on Instructional Technology and Teacher Education, 98-107.
- Çakmak Gürel, Z., Okur, M. (2016). 6th and 7th grade secondary school students’ misconceptions about fractions. Erzincan University Journal of Education Faculty 18(2), 922-952. https://doi.org/10.17556/jef.30116
- Dong, L., Clarke, D., Cao, Y., Wang, L., & Seah, W. T. (2018). Teacher questioning practices over a sequence of consecutive lessons: A case study of two mathematics teachers. Sustainability, 11(1), 139. https://doi.org/10.3390/su11010139
- Dong, L., Seah, W. T., & Clarke, D. (2015). A case study of the pedagogical tensions in teacher's questioning practices when implementing reform-based mathematics curriculum in China. Mathematics Education Research Group of Australasia.
- Dunphy, E. (2010). Exploring young children’s (mathematical) thinking: Preservice teachers reflect on the use of the one-to-one interview. International Journal of Early Years Education, 18(4), 331-347. https://doi.org/10.1080/09669760.2010.528830
- Ellis, K. (1993). Teacher questioning behavior and student learning: What research says to teachers. Retrieved from ERIC database. (ED 359572).
- Franke, M. L., Webb, N. M., Chan, A. G., Ing, M., Freund, D., & Battey, D. (2009). Teacher questioning to elicit students’ mathematical thinking in elementary school classrooms. Journal of Teacher Education, 60(4), 380-392.
- Hattie, J., & Timperley, H. (2007). The power of feedback. Review of Educational Research, 77(1), 81-112. https://doi.org/10.3102/003465430298487
- Heng, M. A., & Sudarshan, A. (2013). “Bigger number 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/s10649-012-9418-6
- Kabar, M. G. D., & Tasdan, B. T. (2020). Examining the change of pre-service middle school mathematics teachers’ questioning approaches through clinical interviews. Mathematics Teacher Education and Development, 22(1), 115-138.
- Karaağaç, M.K., Köse, L. (2015). Examination of pre-service and in-service teachers’ knowledge of students’ misconceptions on the topic of fractions. Sakarya University Journal of Education Faculty (30), 72-92.
- Kreide, A., Turner, C. E., & Tomlinson, A. (2015). Pre-service teachers' development of questioning skills through common core aligned exemplar videotaped math lessons. Proceedings of the Hawaii University International Conferences: S.T.E.A.M. & Education, Honolulu, HI, United States, June 13-15, 2015
- Koç Deniz, H. (2019). The effect of game and activity supported flipped classroom model on students` achievement in problem solving skill and reflective thinking skill based on problem solving in mathematics course. (Publication no: 606454) [Doctoral Thesis, Fırat University]
- Lamon, S. (2007). Rational numbers and proportional reasoning: Toward a theoretical framework for research. FK Lester (Ecl.), Second handbook of research on mathematics teaching and learning A project oft/we national council of teachers of mathematics, 629-667.
- Lim, W., Lee, J. E., Tyson, K., Kim, H. J., & Kim, J. (2020). An integral part of facilitating mathematical discussions: Follow-up questioning. International Journal of Science and Mathematics Education, 18, 377-398. https://doi.org/10.1007/s10763-019-09966-3
- Mason, J., & Johnston-Wilder, S. (2004). Developing thinking in geometry. Teaching Mathematics and Its Applications, 23(2), 66-76.
- McCarthy, P., Sithole, A., McCarthy, P., Cho, J., & Gyan, E. (2016). Teacher questioning strategies in mathematical classroom discourse: A case study of two grade eight teachers in Tennessee, USA. Journal of Education and Practice, 7(21), 80–89.
- McComas, W. F., & Abraham, L. (2004). Asking more effective questions. Rossier School of Education, 1-16.
- Ministry of National Education (2018a). Performance of students placed by central examination in the transition system to high schools [Educational analysis and evaluation reports series, no. 3]. Ministry of National Education.
- Ministry of National Education (2018b). Mathematics course curriculum (primary and secondary school grades 1, 2, 3, 4, 5, 6, 7, and 8). Ministry of National Education Publications.
National Council of Teacher of Mathematics [NCTM]. (2000). Principles and standards for school mathematics. The Council.
- National Council of Teachers of Mathematics. (2014). Principles to actions: Ensuring mathematics success for all. National Council of Teachers of Mathematics.
- Özdemir, Y., & Kıroğlu, K. (2019). A spatial perspective on the development of reading comprehension skills. Amasya University Journal of Faculty of Education, 8(1), 85-124.
- Özpınar, İ. (2023). Secondary school students’ attitudes and teacher-student views on questioning in mathematics course. International e-Journal of Educational Studies, 7 (14), 359-380. https://doi.org/10.31458/iejes.1238226
- Shahrill, M., & Clarke, D. J. (2014). Brunei teachers’ perspectives on questioning: Investigating the opportunities to "Talk" in mathematics lessons. International Education Studies, 7(7), 1-18. http://dx.doi.org/10.5539/ies.v7n7p1
- Siegler, R. S., Thompson, C. A., & Schneider, M. (2011). An integrated theory of whole number and fractions development. Cognitive Psychology, 62(4), 273-296.
- Smith, M. S., & Johnson, A. (2010). Teacher questioning techniques and their impact on student learning. Journal of Educational Psychology, 102(3), 789-802.
- So, J. (2015). The impact of the teacher’s questions on the learning of part-whole relations and a benchmark model in fractions (Doctoral dissertation)
- Soysal, Y., & Soysal, S. (2022). Exploring prospective classroom teacher question types for productive classroom dialogue. ECNU Review of Education, 0(0).
- Şahin, A., & Kulm, G. (2008). Sixth grade mathematics teachers’ intentions and use of probing, guiding, and factual questions. Journal of Mathematics Teacher Education, 11(3), 221-241. https://doi.org/10.1007/s10857-008-9071-2
- Van den Kieboom, L.A., Magiera, M.T. & Moyer, J.C. (2014). Exploring the relationship between K-8 prospective teachers’ algebraic thinking proficiency and the questions they pose during diagnostic algebraic thinking interviews. J Math Teacher Educ, 17, 429–461. https://doi.org/10.1007/s10857-013-9264-1
- Way, J. (2008). Using questioning to stimulate mathematical thinking. Australian Primary Mathematics Classroom, 13(3), 22-27.
- White, P. B. (2001). Conceptual questioning in the mathematics classroom. Master of Education, BEd, Universite de Moncton.
- Yee, F. P. (2002). Using short open-ended mathematics questions to promote thinking and understanding. In Proceedings of the 4th International Conference on The Humanistic Renaissance in Mathematics Education, Palermo, Italy (pp. 135-140).