Affiliation:
1. Muş Alparslan University, Turkey
Abstract
Understanding students’ mathematical thinking in problem solving process plays an important role in facilitating the solution. Hence, teachers or pre-service teachers need to understand students’ thoughts and guide them to the correct answer. The aim of this study was to examine pre-service teachers’ approaches to guiding students in problem solving process. Designed as a case study, this study was carried out with five pre-service primary mathematics teachers. In the study, participants’ dialogues with 7th grade students were examined through 3 non-routine problems. The dialogues were transcribed and it was tried to reveal what kind of approaches the participants displayed. The content analysis was used in data analysis. The findings revealed that pre-service teachers followed Polya's problem-solving steps during their guiding approaches. Most pre-service teachers provided appropriate guidance in understanding the problem, selecting and implementing appropriate strategies for the problem; however, they failed to use the evaluative approaches sufficiently.
Keywords: guiding approaches, multiple case study, pre-service teacher, problem-solving
Reference54 articles.
1. Aziza, M. (2021). A teacher questioning activity: the use of oral open-ended questions in mathematics classroom. Qualitative Research in Education, 10(1), 31-61. https://doi.org/10.17583/qre.2021.6475
2. Baki, A. (2006). Kuramdan uygulamaya matematik eğitimi [Mathematics education from theory to practice]. Derya Bookstore.
3. Biber, B. T., Aylar, E., Ay, Z. S., & İspir, O. A. (2017). İlköğretim matematik öğretmen adaylarının problem çözmeye dair pedagojik alan bilgilerinin sınıf içi gözlem ve görüşme yoluyla belirlenmesi [Pre-service primary school mathematics teachers' pedagogical content knowledge of problem solving through interviews and in-class practice observations]. Kastamonu Education Journal, 25(4), 1483-1498. https://dergipark.org.tr/tr/pub/kefdergi/issue/30766/332494
4. Cai, J., & Kenney, P. A. (2000). Fostering mathematical thinking through multiple solutions. Mathematics Teaching in the Middle School, 5(8), 534-539. https://doi.org/10.5951/MTMS.5.8.0534
5. Carpenter, T. P., Fennema, E., Peterson, P. L., Chiang, C. P., & Loef, M. (1989). Using knowledge of children's mathematics thinking in classroom teaching: An experimental study. American Educational Research Journal, 26(4), 499-531. https://doi.org/10.3102/00028312026004499