pp. 521-537 | Article Number: iejme.2017.027
Published Online: July 19, 2017
Article Views: 481 | Article Download: 993
The study aims to explore teachers’ and students’ perspectives regarding metacognition and its role in mathematics learning. The use of case study was a methodical means to achieve elaborate data and to shed light on issues facing the study. The participants consisted of a case study class from a secondary school in Saudi Arabia. The instruments used for data collection were semi-structured interviews and classroom observation. The data produced essential finding based on thematic analysis techniques, regarding study’s aim. Firstly, the traditional method can hinder mathematics teaching and learning through metacognition. Secondly, although metacognitive mathematics instruction should be planned, the strategy that is introduced should be directly targeted at improving the monitoring and regulation of students’ thought when dealing with mathematics problems.
Keywords: Metacognition, Mathematics, IMPROVE Programme
Almeqdad, Q. I. (2008). Self-explanation and explanation in children with learning difficulties. University of Cambridge.
Azevedo, R., & Aleven, V. (2013). Metacognition and learning technologies: an overview of current interdisciplinary research International handbook of metacognition and learning technologies (pp. 1-16): Springer.
Bernard, M., & Bachu, E. (2015). Enhancing the Metacognitive Skill of Novice Programmers Through Collaborative Learning Metacognition: Fundaments, Applications, and Trends (pp. 277-298): Springer.
Braun, V., & Clarke, V. (2006). Using thematic analysis in psychology. Qualitative research in psychology, 3(2), 77-101.
Brown, A. (1987). Metacognition, Executive Control, Self Regulation and Mysterious Mechanisms. In R. K. Franz E. Weinert (Ed.), Metacognition, Motivation and Understanding (3 ed., pp. 65-117). The University of Michigan: L. Erlbaum Associates.
Buratti, S., & Allwood, C. M. (2015). Regulating Metacognitive Processes—Support for a Meta-metacognitive Ability Metacognition: Fundaments, Applications, and Trends (pp. 17-38): Springer.
Cardelle-Elawar, M. (1992). Effects of teaching metacognitive skills to students with low mathematics ability. Teaching and Teacher Education, 8(2), 109-121.
Cetin, I., Sendurur, E., & Sendurur, P. (2014). Assessing the Impact of Meta-Cognitive Training on Students' Understanding of Introductory Programming Concepts. Journal of Educational Computing Research, 50(4), 507-524.
Coles, A. (2013). Being alongside: for the teaching and learning of mathematics: Springer Science & Business Media.
Desoete, A. (2007). Evaluating and improving the mathematics teaching-learning process through metacognition. Electronic Journal of Research in Educational Psychology, 5(3), 705-730.
Desoete, A. (2009). Metacognitive prediction and evaluation skills and mathematical learning in third-grade students. Educational Research and Evaluation, 15(5), 435-446.
Efklides, A., & Misailidi, P. (2010). Introduction: The present and the future in metacognition Trends and prospects in metacognition research (pp. 1-18): Springer.
Eldar, O., & Miedijensky, S. (2015). Designing a Metacognitive Approach to the Professional Development of Experienced Science Teachers Metacognition: Fundaments, Applications, and Trends (pp. 299-319): Springer.
Fortunato, I., Hecht, D., Tittle, C., & Alvarez, L. (1991). Metacognition and problem solving. The Arithmetic Teacher, 39(4), 38.
Gillies, R. W., & Richard Bailey, M. (1995). The effects of Metacognitive Strategy and Attributional Interventions on the ability of students' to solve mathematical word problems. Paper presented at the AARE Conference, Hobart, Tasmania.
Goos, M. (1993). Metacognitive decisions and their influence on problem solving outcomes. Paper presented at the The Sixteenth Annual Conference of the Mathematics Education Research Group of Australasia (MERGA), Brisbane.
Grant, G. (2014). A metacognitive-based tutoring program to improve mathematical abilities of rural high school students: An action research study. (Ph.D), Capella University.
Grizzle-Martin, T. (2014). The Effect of Cognitive-and Metacognitive-Based Instruction on Problem Solving by Elementary Students with Mathematical Learning Difficulties. (Ph.D), Walden University.
Hartman, H. J. (2001). Developing students’ metacognitive knowledge and skills Metacognition in learning and instruction (pp. 33-68): Springer.
Hurme, T.-R., Järvelä, S., Merenluoto, K., & Salonen, P. (2015). What Makes Metacognition as Socially Shared in Mathematical Problem Solving? Metacognition: Fundaments, Applications, and Trends (pp. 259-276): Springer.
Kapa, E. (2001). A metacognitive support during the process of problem solving in a computerized environment. Educational studies in mathematics, 47(3), 317-336.
Kluwe, R. H. (1982). Cognitive knowledge and executive control: Metacognition Animal mind—human mind (pp. 201-224): Springer.
Kramarski, B., & Mevarech, Z. R. (2003). Enhancing mathematical reasoning in the classroom: The effects of cooperative learning and metacognitive training. American Educational Research Journal, 40(1), 281-310.
Kramarski, B., & Michalsky, T. (2013). Student and teacher perspectives on IMPROVE self-regulation prompts in web-based learning International handbook of metacognition and learning technologies (pp. 35-51): Springer.
Kuhn, D. (2000). Theory of mind, metacognition, and reasoning: A life-span perspective. In P. R. Mitchell, Kevin John (Ed.), Children's reasoning and the mind (pp. 301-326). Hove, England: Psychology Press: Taylor & Francis.
la Barra, D., León, M. B., la Barra, D., León, G. E., Urbina, A. M., la Barra, D., & León, B. A. (1998). Towards a global improvement of Engineering Maths Teaching. Paper presented at the Frontiers in Education Conference, 1998. FIE'98. 28th Annual.
Larkin, S. (2000). How can we discern metacognition in year one children from interactions between students and teacher. Paper presented at the ESRC Teaching and Learning Research Programme Conference.
Larkin, S. (2006). Collaborative group work and individual development of metacognition in the early years. Research in Science Education, 36(1-2), 7-27.
Larkin, S. (2010). Metacognition in young children: Routledge.
Lester, F., Garofalo, J. & Kroll, D.L. . (1989). Bloomington, IN. USA Patent No. Eric Document Reproduction Service No. ED 314 255: M. E. D. Indiana University & Centre.
Merriam, S. B. (1998). Qualitative Research and Case Study Applications in Education: Revised and Expanded from Case Study Research in Education. San Francisco: Jossey Bass Wiley.
Mevarech, Z., & Fridkin, S. (2006). The effects of IMPROVE on mathematical knowledge, mathematical reasoning and meta-cognition. Metacognition and Learning, 1(1), 85-97.
Mevarech, Z., & Kramarski, B. (1997). IMPROVE: A multidimensional method for teaching mathematics in heterogeneous classrooms. American Educational Research Journal, 34(2), 365-394.
Mevarech, Z. R., & Amrany, C. (2008). Immediate and delayed effects of meta-cognitive instruction on regulation of cognition and mathematics achievement. Metacognition and Learning, 3(2), 147-157.
Moga, A. (2012). Metacognitive Training Effects on Students Mathematical Performance from Inclusive Classrooms. (PhD), Babeș-Bolyai University, Cluj-Napoca.
Mohini, M., & Nai, T. T. (2005). The use of metacognitive process in learning mathematics. Reform, revolution and paradigm shifts in mathematics education, Nov 25th–Dec 1st, 159-162.
Mutekwe, E. (2014). Unpacking Student Feedback as a Basis for Metacognition and Mediated Learning Experiences: A Socio-cultural perspective. Journal of Education and Learning (EduLearn), 8(4), 338-348.
Naglieri, J. A., & Johnson, D. (2000). Effectiveness of a cognitive strategy intervention in improving arithmetic computation based on the PASS theory. Journal of learning disabilities, 33(6), 591-597.
Panaoura, A., & Philippou, G. (2005). The measurement of young pupils’ metacognitive ability in mathematics: The case of self-representation and self-evaluation. Paper presented at the Proceedings of CERME.
Peña-Ayala, A., & Cárdenas, L. (2015). A Conceptual Model of the Metacognitive Activity Metacognition: Fundaments, Applications, and Trends (pp. 39-72): Springer.
Raoofi, S., Chan, S. H., Mukundan, J., & Rashid, S. M. (2013). Metacognition and Second/Foreign Language Learning. English Language Teaching, 7(1), p36.
Robson, C. (2002). Real World Research: A Resource for Social Scientists and Practitioner-Researchers (2nd edition ed.): Blackwell: Oxford.
Sahin, S. M., & Kendir, F. (2013). The effect of using metacognitive strategies for solving geometry problems on students’ achievement and attitude. Educational Research and Reviews, 8(19), 1777-1792.
Schoenfeld, A. H. (1987). What’s All the Fuss About Metacognitlon. In A. H. Schoenfeld (Ed.), Cognitive science and mathematics education (Vol. 189-215). Hillsdale, NJ: Lawrence Erlbaum Associates.
Schoenfeld, A. H. (1992). Learning to think mathematically: Problem solving, metacognition, and sense making in mathematics. Handbook of research on mathematics teaching and learning, 334-370.
Schraw, G., & Gutierrez, A. P. (2015). Metacognitive Strategy Instruction that Highlights the Role of Monitoring and Control Processes Metacognition: Fundaments, Applications, and Trends (pp. 3-16): Springer.
Simons, P. R. (1996). Metacognitive strategies: Teaching and assessing. In E. DeCorte, Weinert, F.E. (Ed.), International Encyclopedia of developmental and instructional psychology (pp. 441-444). Great Britain: Pergamon.
Thomas, G. (2012). Metacognition in science education: Past, present and future considerations. In B. Fraser, Tobin, Kenneth, McRobbie, Campbell J. (Ed.), Second international handbook of science education (pp. 131-144): Springer.
Tok, Ş. (2013). Effects of the know-want-learn strategy on students’ mathematics achievement, anxiety and metacognitive skills. Metacognition and Learning, 8(2), 193-212.
Wolf, S. E., Brush, T., & Saye, J. (2003). Using an information problem-solving model as a metacognitive scaffold for multimedia-supported information-based problems. Journal of Research on Technology in Education, 35(3), 321-341.
Yimer, A. (2004). Metacognitive and cognitive functioning of college students during mathematical problem solving. (Ph.D), Illinois State University.
Yin, R. K. (2014). Case Study Research: Design and Methods: SAGE Publications.
Zohar, A., & Barzilai, S. (2013). A review of research on metacognition in science education: current and future directions. Studies in Science Education, 49(2), 121-169.