Research Article

Investigation of prospective mathematics teachers’ noticing of student thinking related to probability

Volume: 14 Number: 1 January 31, 2025
TR EN

Investigation of prospective mathematics teachers’ noticing of student thinking related to probability

Abstract

The aim of this study is to reveal and evaluate the attending and interpreting skills of student thinking of prospective teachers, as well as their instructional suggestions as responding skills. The current study was conducted with 29 prospective mathematics teachers (PMTs) within a qualitative design in the context of probability. First, three probability problems were asked to sixty-two 8th graders (13-14 years old) in a middle school, and their solutions were used to create tasks for PMTs. PMTs answered the tasks in a written report. Then, a class discussion was held, and PMTs were given the opportunity to revise the initial reports. Content analysis was used for data analysis. PMTs demonstrated partial or robust evidence for attending to and interpreting students' thinking. However, they struggled to respond to students' reasoning. In the revised reports, the PMTs' evidence for noticing skills was better with the support of the class discussion. This study provides an example of an approach that can be used for teaching in method courses, allowing PMTs' noticing skills for student thinking to be revealed and improved.

Keywords

Supporting Institution

The Scientific and Technological Research Council of Türkiye (2209-A-Research Project Support Programme for Undergraduate Students)

Project Number

1919B012201189 (2209 Üniversite Öğrencileri Araştırma Projeleri)

Ethical Statement

The Human Research Ethics Committee of Trakya University's report E-29563864-050.04.04-272275, dated 15.06.2022, and the Ministry of National Education's report E-87085441-44-68502300, dated 17.01.2023, both confirm that the research does not pose an ethical problem.

References

  1. Alsawaie, O. N., & Alghazo, I. M. (2010). The effect of video-based approach on prospective teachers’ ability to analyze mathematics teaching. Journal of Mathematics Teacher Education, 13(3), 223-241, https://doi.org/10.1007/s10857-009-9138-8
  2. Amador, J. M., Bragelman, J., & Castro-Superfine, A. (2021). Prospective teachers’ noticing: a literature review of methodological approaches to support and analyze noticing. Teaching and Teacher Education, 99, 103256. https://doi.org/10.1016/j.tate.2020.103256
  3. 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
  4. Barnhart, T., & van Es, E. (2015). Studying teacher noticing: examining the relationship among prospective science teachers’ ability to attend, analyze, and respond to student thinking. Teaching and Teacher Education, 45, 83-93. https://doi.org/10.1016/j.tate.2014.09.005
  5. Barnhart, T., Johnson, H. J., & Tekkumru-Kisa, M. (2025). Pre-service teachers notice student thinking: Then what?. Journal of Teacher Education, 76(1), 57-70. https://doi.org/10.1177/00224871231220604
  6. Batanero, C., & Álvarez-Arroyo, R. (2024). Teaching and learning of probability. ZDM Mathematics Education, 56, 5-17. https://doi.org/10.1007/s11858-023-01511-5
  7. Batanero, C., Arteaga, P., Serrano, L. & Ruiz, B. (2014). Prospective primary school teachers’ perception of randomness. In E. J. Chernoff & B. Sriraman (Eds.), Probabilistic thinking: Presenting plural perspectives (pp. 345–366). Springer.
  8. Bergman, A. M., Gallagher, K., & Zazkis, R. (2023). Prospective teachers’ responses to students’ dialogue on fractions: attribute substitution and heuristic approaches. Research in Mathematics Education, 25(1), 85-104. https://doi.org/10.1080/14794802.2021.2020155

Details

Primary Language

English

Subjects

Mathematics Education

Journal Section

Research Article

Publication Date

January 31, 2025

Submission Date

December 14, 2023

Acceptance Date

January 16, 2025

Published in Issue

Year 2025 Volume: 14 Number: 1

APA
Girit Yıldız, D., & Müftüoğlu, E. (2025). Investigation of prospective mathematics teachers’ noticing of student thinking related to probability. Turkish Journal of Education, 14(1), 93-118. https://doi.org/10.19128/turje.1404971
AMA
1.Girit Yıldız D, Müftüoğlu E. Investigation of prospective mathematics teachers’ noticing of student thinking related to probability. TURJE. 2025;14(1):93-118. doi:10.19128/turje.1404971
Chicago
Girit Yıldız, Dilek, and Esila Müftüoğlu. 2025. “Investigation of Prospective Mathematics Teachers’ Noticing of Student Thinking Related to Probability”. Turkish Journal of Education 14 (1): 93-118. https://doi.org/10.19128/turje.1404971.
EndNote
Girit Yıldız D, Müftüoğlu E (January 1, 2025) Investigation of prospective mathematics teachers’ noticing of student thinking related to probability. Turkish Journal of Education 14 1 93–118.
IEEE
[1]D. Girit Yıldız and E. Müftüoğlu, “Investigation of prospective mathematics teachers’ noticing of student thinking related to probability”, TURJE, vol. 14, no. 1, pp. 93–118, Jan. 2025, doi: 10.19128/turje.1404971.
ISNAD
Girit Yıldız, Dilek - Müftüoğlu, Esila. “Investigation of Prospective Mathematics Teachers’ Noticing of Student Thinking Related to Probability”. Turkish Journal of Education 14/1 (January 1, 2025): 93-118. https://doi.org/10.19128/turje.1404971.
JAMA
1.Girit Yıldız D, Müftüoğlu E. Investigation of prospective mathematics teachers’ noticing of student thinking related to probability. TURJE. 2025;14:93–118.
MLA
Girit Yıldız, Dilek, and Esila Müftüoğlu. “Investigation of Prospective Mathematics Teachers’ Noticing of Student Thinking Related to Probability”. Turkish Journal of Education, vol. 14, no. 1, Jan. 2025, pp. 93-118, doi:10.19128/turje.1404971.
Vancouver
1.Dilek Girit Yıldız, Esila Müftüoğlu. Investigation of prospective mathematics teachers’ noticing of student thinking related to probability. TURJE. 2025 Jan. 1;14(1):93-118. doi:10.19128/turje.1404971

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