Development of Pre-service Teachers’ Perceptions of Using Metacognitive Skills in Teaching and Learning Mathematics

Abstract

In the present research, we educated mathematics pre-service teachers in using metacognition in their teaching of mathematics. This education was performed in one-year and was part of the participants’ practical training in the training schools and in the frame of a reflection-based course related to the practical training. We studied the development of pre-service teachers’ perceptions of using metacognition in teaching and learning mathematics. Twenty four pre-service teachers participated in the preparation. They were in their third academic year majoring in teaching mathematics and computer science in middle schools. We held interviews with the participating pre-service teachers twice, once at the beginning of the preparation and once at the end of it. To analyze the interview transcripts, we used inductive and deductive content analysis. The research results indicate that the participants developed their perceptions regarding metacognition and its use in students’ learning, but at the same time, due to the time pressure, they intend to use mainly the ‘planning skill’ in their teaching of mathematics.

Keywords

• Metacognition,Metacognitive skills,Mathematics teachers,Pre-service teachers

References

1. Awawdeh-Shahbari, J., Daher, W. & Raslan, S. (2014). Mathematical knowledge and the cognitive and metacognitive processes emerged in model-eliciting activities. International Journal of New Trends in Education and Their Implications, 5 (2), 209-219. Barbacena, L., &Sy, N. (2015). Metacognitive Model in Mathematical Problem Solving. Intersection, 12(1), 16- 22. Baya'a, N., Daher, W., Jaber, O., & Anabousy, A. (2018). Educating Pre-Service Teachers in Metacognitive Activities. In H.-G. Weigand, , A. Clark-Wilson, , A. DonevskaTodorova, E. Faggiano, , N. Grønbæk & J. Trgalova (eds), Proceedings of the 5th ERME Topic Conference MEDA 2018 (pp. 35-42). Copenhagen, Denmark: ERME. Belet, S. D., & Güven, M. (2011). Meta-cognitive strategy usage and epistemological beliefs of primary school teacher trainees. Educational Sciences: Theory and Practice, 11(1), 51-57. Bonds, C. W., Bonds, L. G., & Peach, W. (1992). Metacognition: Developing independence in learning. The Clearing House, 66(1), 56-59. Brown, A. (1987). Metacognition, executive control, self-regulation and other more mysterious mechanisms. In Frann Weinert & Rainer Kluwe (Eds), Metacognition, Motivation and Understanding (pp. 65-115). London: LEA. Brown, A. L., & DeLoache, J. S. (1978). Skills, plans, and self-regulation. In R. S. Siegel (Ed.), Children's thinking: What develop? (pp. 3-35). Hillsdale, NJ: Erlbaum. Chauhan, A., & Singh, N. (2014). Metacognition: A conceptual framework. International Journal of Education and Psychological Research (IJEPR), 3(3), 21-22. Daher, W., Anabousy, A. & Jabarin, R. (2018). Metacognition, positioning and emotions in mathematical activities. International Journal of Research in Education and Science (IJRES), 4(1), 292-303. D Daher, W., Baya'a, N., Jaber, O., & Anabousy, A. (2018). Preparation phases for developing pre-service mathematics teachers' metacognitive thinking skills in learning and teaching. Paper presented at the International Conference on Education in Mathematics, Science & Technology (ICEMST), April 28-May 1, 2018. Marmaris, Turkey. Davidson, J. E., & Sternberg, R. J. (1998). Smart problem solving: How metacognition helps. In D. J. Hacker, J. Dunlosky, & A. C. Graesser (Eds.), The educational psychology series. Metacognition in educational theory and practice (pp. 47-68). Mahwah, NJ: Lawrence Erlbaum Associates. Du Toit, S. & Kotze, G. (2009). Metacognitive strategies in the teaching and learning of mathematics. Pythagoras, 70, 57–67. Erskine, D. (2009). Effect of Prompted Reflection and Metacognitive Skill Instruction on University Freshmen’s use of Metacognition (Unpublished Ph. D. dissertation). Brigham Young University, Utah, United states. Flavell, J. H. (1976). Metacognitive aspects of problem solving. In L. B. Resnick (Ed.), The nature of intelligence (pp.231-236). Hillsdale, NJ: Erlbaum. Flavell, J. (1999). Cognitive development: children's knowledge about the mind. Annual review of psychology, 50, 21-45. Krueger, R. A. (2002). Designing and Conducting Focus Group Interviews. http://www.eiu.edu/ihec/Krueger-FocusGroupInterviews.pdf Panaoura, A., Philippou, G., & Christou, C. (2003). Young pupils’ metacognitive ability in mathematics. Paper presented at the Third Conference of the European Society for Research in Mathematics Education. Patton, M.Q. (2002). Qualitative Research and Evaluation Methods. Thousand Oaks, CA: Sage. Schoenfeld, H. (1992). Learning to think mathematically: problem solving, metacognition and sense making in mathematics. In D. A. Grouws (Ed), Handbook of research on mathematics teaching and learning (pp. 334-368). New York: McMillan. Spiller, D., & Ferguson, P.B. (2011). Teaching strategies to promote the development of students’ learning skills. Hamilton, New Zealand: Teaching Development Unit. Veenman, M.V.J., Van Hout-Wolters, B.H.A.M, & Afflerbach, P. (2006). Metacognition and Learning: Conceptual and Methodological Considerations. Metacognition and Learning, 1, 3-14. Wilson, N. S., & Bai, H. (2010). The relationships and impact of teachers’ metacognitive knowledge and pedagogical understandings. Metacognition and Learning, 5, 269–288.