Metacognitive Regulation Strategies Among Indonesian Undergraduate Students During Conic Sections Conceptualization

Yus Mochamad Cholily, Anis Farida Jamil, Mayang Dintarini


Metacognitive regulation ability can assist students in abstracting the concept of a conic section. However, research exploring students’ metacognitive regulation in abstracting a mathematical concept is still rare. Thus, this study aims to analyze students' metacognitive regulation consisting of monitoring and controlling  in abstracting the conic sections concept. Three students were selected as research subjects from 26 undergraduate of mathematics education Indonesian students who were engaged in abstraction assignments. Three students were selected based on their abstraction of the conic section concept, where only one student succeeded and two students represented two types of abstraction errors present in the class. An indicator of student success in abstracting the concept of a conic section is that students can correctly identify the relationship between eccentricity and the conic curve.. After completing the task, students are given the MAI questionnaire to identify their metacognitive regulations. There were 52 items in the MAI, of which 17 items represented metacognitive knowledge and 35 items represented metacognitive regulation. Hence, this study utilized the 35 items. The paper indicates that there is a positive relationship between metacognitive regulation and abstraction processes of the three students. This relationship is particularly evident in the metacognitive monitoring component. We hypothesize that students with good metacognitive monitoring are associated with the success of the abstraction process. The findings of this study contribute to further research by suggesting that designing learning environments that support metacognitive regulation will assist students in successfully abstracting mathematical concepts.


Abstraction; Conic Section; Knowledge Construction; Metacognitive Regulation

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An, Y.-J., & Cao, L. (2014). Examining the Effects of Metacognitive Scaffolding on Students’ Design Problem Solving and Metacognitive Skills in an Online Environment. Journal of Online Learning & Teaching, 10(4), 552–568. Retrieved from

Anderson, D., & Nashon, S. (2007). Predators of knowledge construction: Interpreting students’ metacognition in an amusement park physics program. Science Education, 91(2), 298–320.

Bakar, M. A. A., & Ismail, N. (2019). Merging of metacognitive regulation strategies and activity based learning through best seller mathematical learning activities to enhance student’s mastery of mathematics. Universal Journal of Educational Research, 7(9A), 155–161.

Bellon, E., Fias, W., & Smedt, B. De. (2021). Too Anxious to Be Confident? A Panel Longitudinal Study Into the Interplay of Mathematics Anxiety and Metacognitive Monitoring in Arithmetic Achievement. Journal of Educational Psychology, 113(8), 1550–1564.

Cosar, M. Ç., & Kesan, C. (2021). Self-regulation behaviours of a gifted student in mathematical abstraction process. Turkish International Journal of Special Education and Guidance & Counseling, 10(2), 152–168. Retrieved from

Dreyfus, T., Hershkowitz, R., & Schwarz, B. (2015). The Nested Epistemic Actions Model for Abstraction in Context: Theory as Methodological Tool and Methodological Tool as Theory. In A. Bikner-ahsbahs, C. Knipping, & N. Presmeg (Eds.), Approaches to Qualitative Research in Mathematics Education (pp. 185–217). Springer.

Ferrari, P. L. (2003). Abstraction in mathematics. Philosophical Transactions of the Royal Society B: Biological Sciences, 358(1435), 1225–1230.

Flavell, J. H. (1979). Metacognition and Cognitive Monitoring: A New Area of Cognitive-Development Inquiry. American Psychologist, 34(10), 906–911.

Fuchs, L. S., Fuchs, D., Prentice, K., Burch, M., Hamlett, C. L., Owen, R., … Jancek, D. (2003). Explicitly teaching for transfer: Effects on third-grade students’ mathematical problem solving. Journal of Educational Psychology, 95(2), 293–305.

Gilboa, N., Kidron, I., & Dreyfus, T. (2019). Constructing a mathematical definition: the case of the tangent. International Journal of Mathematical Education in Science and Technology, 50(3), 421–446.

Guerrero-Ortiz, C., Mena-Lorca, J., & Soto, A. M. (2018). Fostering Transit between Real World and Mathematical World: Some Phases on the Modelling Cycle. International Journal of Science and Mathematics Education, 16(8), 1605–1628.

Guler, H. K., & Gurbuz, M. C. (2018). Construction process of the length of ∛2 by paper folding. International Journal of Research in Education and Science, 4(1), 121–135.

Hershkowitz, R., Hadas, N., Dreyfus, T., & Schwarz, B. B. (2007). Abstracting processes, from individuals’ constructing of knowledge to a group’s “shared knowledge.” Mathematics Education Research Journal, 19(2), 41–68.

Jamil, A. F., Siswono, T. Y. E., & Setianingsih, R. (2023a). Metacognitive Regulation in Collaborative Problem-Solving: A Bibliometric Analysis and Systematic Literature Review. In H. Polat, A. A. Khan, & M. D. Kaya (Eds.), Studies on Education, Science, and Technology 2023 (pp. 32–62). USA: ISTES Organization.

Jamil, A. F., Siswono, T. Y. E., & Setianingsih, R. (2023b). The Emergence and Form of Metacognitive Regulation : Case Study of More and Less Successful Outcome Groups in Solving Geometry Problems Collaboratively. Mathematics Teaching-Research Journal, 15(1), 25–43.

Jin, Q., & Kim, M. (2018). Metacognitive Regulation During Elementary Students’ Collaborative Group Work. Interchange, 49(2), 263–281.

Juniarti, A., Jojo, Z., & Prahmana, R. C. I. (2022). Designing the learning trajectory for the topic of circles through a tambourine context. Journal of Honai Math, 5(1), 29–46.

Kohen, Z., & Kramarski, B. (2018). Promoting Mathematics Teachers’ Pedagogical Metacognition: A Theoretical-Practical Model and Case Study. In Y. J. Dori, Z. R. Mevarech, & D. R. Baker (Eds.), Cognition, Metacognition, and Culture in STEM Education: Learning, Teaching and Assessment (pp. 279–305). Springer.

Liptak, J., & Scholtzova, I. (2021). Preparing Junior School Aged Pupils for a Circle Definition: Teaching Mathematics within Physical Education Class. European Journal of Contemporary Education, 10(2), 395–408.

Nelson, T. O. (1990). Metamemory: A Theoretical Framework and New Findings. Psychology of Learning and Motivation - Advances in Research and Theory, 26(C), 125–173.

Noto, M. S., Hartono, W., & Sundawan, D. (2016). Analysis of Students Mathematical Representation and Connection on Analytical Geometry Subject. Infinity Journal, 5(2), 99–108.

Pawlikowski, M. J. (2014). Effects of social metacognition on geometric reasoning and micro-creativity: Groups of students constructing proofs.

Scheiner, T., & Pinto, M. M. F. (2016). Images of Abstraction in Mathematics Education: Contradictions, Controversies, And Convergences. Proceedings of the 40th Conference of the International Group for the Psychology of Mathematics Education, 4, 155–162. Szeged: Publisher: International Group for the Psychology of Mathematics Education.

Schraw, G., & Dennison, R. S. (1994). Assessing metacognitive awareness. Contemporary Educational Psychology, 19(4), 460–475.

Suprapti, E. D. (2020). Meningkatkan Prestasi Belajar Irisan Kerucut Melalui Model Discovery Learning. Edutainment, 8(1), 70–81.

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(1), 3–14.

Vittal, P. R. (2013). Analytical Geometry 2D and 3D. Chennai: Pearson India.

Yeşildere, S., & Türnüklü, E. (2008). An investigation of the components affecting knowledge construction processes of students with differing mathematical power. Egitim Arastirmalari - Eurasian Journal of Educational Research, (31), 151–169. Retrieved from



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