Metacognitive Skills of College Students in Mathematics Problem Solving: Overview by Student's Field Dependent
DOI:
https://doi.org/10.51574/ijrer.v3i2.1393Keywords:
College Students, Field Dependent, Metacognitive Skills, Problem SolvingAbstract
Overall, this study aims to assess college students' field-dependent metacognitive skills in mathematics problem-solving. We administered the Group Embedded Figures and Mathematical Ability Tests to 35 future educators from a private school in Sukoharjo, Indonesia. Students' questioning of each group served to gauge their proficiency in solving problems, as shown in the results. Participants also demonstrated partially achieved metacognitive abilities, as measured by the (metacognitive) skills criterion, which encompassed tasks such as planning, monitoring, assessing, and predicting. First, the participants documented and explained the facts given in the question. Second, they checked the results against the plan. Third, they evaluated the success of the objectives by analyzing the results to make sure everything went according to plan. Finally, they predicted and stated the results of the problem-solving process. In light of these findings, researchers and teachers facing comparable obstacles would do well to delve deeper into the function of metacognitive abilities in problem-solving.
References
Abdullah, A. H., Rahman, S. N. S. A., & Hamzah, M. H. (2017). Metacognitive skills of malaysian students in non-routine mathematical problem solving. Bolema: Boletim de Educação Matemática, 31(57), 310–322. https://doi.org/10.1590/1980-4415v31n57a15
Antonietti, A., Ignazi, S., & Perego, P. (2000). Metacognitive knowledge about problem-solving methods. British Journal of Educational Psychology, 70(1), 1–16. https://doi.org/10.1348/000709900157921
Cardelle-Elawar, M. (1992). Effects of Teaching Metacognitive Skills to Students with Low Mathematics Ability. Teaching and Teacher Education, 8(2), 109–121. https://doi.org/10.1016/0742-051X(92)90002-K
Chrysostomou, M., Pitta-Pantazi, D., Tsingi, C., Cleanthous, E., & Christou, C. (2013). Examining Number Sense and Algebraic Reasoning Through Cognitive Styles. Educational Studies in Mathematics, 83(2), 205–223. https://doi.org/10.1007/s10649-012-9448-0
Clarke, D., Goos, Æ. M., & Morony, Æ. W. (2007). Problem solving and Working Mathematically : an Australian perspective. ZDM Mathematics Education, 39(5–6), 475–490. https://doi.org/10.1007/s11858-007-0045-0
Desoete, A. (2009a). Metacognitive prediction and evaluation skills and mathematical learning in third-grade students. Educational Research and Evaluation, 15(5), 435–446. https://doi.org/10.1080/13803610903444485
Desoete, A. (2009b). Multi-method assessment of metacognitive skills : How you test is what you get. Educational Research and Evaluation, 15(5), 435–446. https://doi.org/10.1007/s11409-008-9026-0
Garrett, A. J., Mazzocco, M. M., & Baker, L. (2006). Development of the metacognitive skills of prediction and evaluation in children with or without math disability. Learning Disabilities Research & Practice, 21(2), 77–88. https://doi.org/10.1111/j.1540-5826.2006.00208.x
Gómez, E. (2009). Activities for Students: Slicing a Cube. The Mathematics Teacher, 102(6), 456–463. https://doi.org/10.5951/MT.102.6.0456
Gurat, M. G., & Medula, C. T. (2016). Metacognitive Strategy Knowledge Use through Mathematical Problem Solving amongst College students’. American Journal of Educational Research, 4(2), 170–189. https://doi.org/10.12691/education-4-2-5
Hargrove, R. A., & Nietfeld, J. L. (2015). The Impact of Metacognitive Instruction on Creative Problem Solving. Journal of Experimental Education, 83(3), 291–318. https://doi.org/10.1080/00220973.2013.876604
Jäder, J., Lithner, J., & Sidenvall, J. (2020). Mathematical problem solving in textbooks from twelve countries. Journal of Mathematical Education in Science and Technology, 51(7), 1120–1136. https://doi.org/10.1080/0020739X.2019.1656826
Jagals, D., & Walt, M. Van Der. (2016). Enabling Metacognitive Skills for Mathematics Problem Solving : A Collective Case Study of Metacognitive Reflection and Awareness. African Journal of Research in Mathematics, Science and Technology Education, 20(2), 154–164. https://doi.org/10.1080/18117295.2016.1192239
Kesici, S., Erdogan, A., & Özteke, H. I. (2011). Are the dimensions of metacognitive awareness differing in prediction of mathematics and geometry achievement? Procedia - Social and Behavioral Sciences, 15, 2658–2662. https://doi.org/10.1016/j.sbspro.2011.04.165
Lioe, L. T., Fai, H. O. K. A. I., & Hedberg, J. G. (2006). Students’ Metacognitive Problem Solving Strategies in Solving Open-ended Problems in Pairs. Redesigning Pedagogy. 243–259. https://doi.org/10.1163/9789087900977_018
Magno, C. (2010). The role of metacognitive skills in developing critical thinking. Metacognition and Learning, 5(2), 137–156. https://doi.org/10.1007/s11409-010-9054-4
Miles, M. B., Huberman, A. M., & Saldaña, J. (2018). Qualitative data analysis: A methods sourcebook (4st ed.). Thousand Oaks: Sage publications.
Nicolaou, A. A., & Xistouri, X. (2011). Field Dependence/Independence Cognitive Style and Problem Posing: An Investigation With Sixth Grade Students. Educational Psychology, 31(5), 611–627. https://doi.org/10.1080/01443410.2011.586126
Özsoy, G., & Ataman, A. (2009). The effect of metacognitive strategy training on mathematical problem solving achievement. International Electronic Journal of Elementary Education, 1(2), 67–82. https://doi.org/10.1002/ejsp.2570
Pennequin, V., Sorel, O., Nanty, I., & Fontaine, R. (2010). Metacognition and low achievement in mathematics: The effect of training in the use of metacognitive skills to solve mathematical word problems. Thinking & Reasoning, 16(3), 198-220. https://doi.org/10.1080/13546783.2010.509052
Santos-Trigo, M. (2020). Problem-solving in mathematics education. In Lerman S. (eds) Encyclopedia of Mathematics Education (pp. 686–693). Springer, Cham. https://doi.org/10.1007/978-3-030-15789-0
Simons, C., Metzger, S. R., & Sonnenschein, S. (2020). Children’s metacognitive knowledge of five key learning processes. Translational Issues in Psychological Science, 6(1), 32–42. https://doi.org/10.1037/tps0000219
Smith, J. M., & Mancy, R. (2018). Exploring the Relationship Between Metacognitive and Collaborative Talk During Group Mathematical Problem-Solving–What Do We Mean by Collaborative Metacognition? Research in Mathematics Education, 20(1), 14–36. https://doi.org/10.1080/14794802.2017.1410215
Son, A. L., Darhim, & Fatimah, S. (2020). Students’ Mathematical Problem-Solving Ability Based on Teaching Models Intervention and Cognitive Style. Journal on Mathematics Education, 11(2), 209–222. https://doi.org/10.22342/jme.11.2.10744.209-222
Susanto, H. A., Hidajat, D., Hobri, & Jatmiko, D. D. H. (2020). Cognitive description of students in mathematics learning through lesson study Cognitive description of students in mathematics learning through lesson study. Journal of Physics: Conference Series, (Vol. 1465, No. 1, 012067). IOP Publishing. https://doi.org/10.1088/1742-6596/1465/1/012067
Tachie, S. A., & Molepo, J. M. (2019). Exploring Teachers’ Meta-Cognitive Skills in Mathematics Classes in Selected Rural Primary Schools in Eastern Cape, South Africa. Africa Education Review, 16(2), 143–161. https://doi.org/10.1080/18146627.2017.1384700
Tian, Y., Fang, Y., Li, J., Wang, L., & Greenshaw, A. J. (2018). The effect of metacognitive knowledge on mathematics performance in self-regulated learning framework—multiple mediation of self-efficacy and motivation. Frontiers in Psychology, 9, 2518. https://doi.org/10.3389/fpsyg.2018.02518
Van der Stel, M., Veenman, M. V. J., Deelen, K., & Haenen, J. (2010). The increasing role of metacognitive skills in math : a cross-sectional study from a developmental perspective. ZDM, 42(2), 219–229. https://doi.org/10.1007/s11858-009-0224-2
Veenman, M. V. J., & Cleef, D. Van. (2019). Measuring Metacognitive Skills for Mathematics : Students’ Self-Reports Versus on-Line Assessment Methods. ZDM Mathematics Education, 51(4), 691–701. https://doi.org/10.1007/s11858-018-1006-5
Veenman, M. V. J., & Spaans, M. A. (2005). Relation between intellectual and metacognitive skills : Age and task differences. Learning and Individual Differences, 15(2), 159–176. https://doi.org/10.1016/j.lindif.2004.12.001
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. https://doi.org/10.1007/s11409-006-6893-00
Volkova, E. V, & Rusalov, V. M. (2016). Cognitive styles and personality. Personality and Individual Differences, 99, 266–271. https://doi.org/10.1016/j.paid.2016.04.097
Wang, M., Binning, K. R., Toro, J. Del, Qin, X., & Zepeda, C. D. (2021). Skill, Thrill, and Will: The Role of Metacognition, Interest, and Self‐Control in Predicting Student Engagement in Mathematics Learning Over Time. Child Development. https://doi.org/10.1111/cdev.13531
Witkin, H. A., Moore, C. A., Goodenough, D., & Cox, P. W. (1977). Field-Dependent and Field-Independent Cognitive Styles and Their Educational Implications. Review of Educational Research, 47(1), 1–64. https://doi.org/10.3102/00346543047001001
Downloads
Published
How to Cite
Issue
Section
Most read articles by the same author(s)
- Muhammad Hasbi, Fitri, Ahmad Muktamar, Character Building Profile of Pancasila Students As An Effort to Realize National Character , ETDC: Indonesian Journal of Research and Educational Review : Vol. 2 No. 4 (2023): September
- Yusuf Razaq, Satriani, Amiruddin, Syamsul Bahri, Muhammad Hasbi, A Study Fable in Pair Work on ELT Learners' English Vocabulary Achievement , ETDC: Indonesian Journal of Research and Educational Review : Vol. 1 No. 3 (2022): June
- Muhammad Hafeez, Muhammad Hasbi, All about learning methods: Past, Present and Future , ETDC: Indonesian Journal of Research and Educational Review : Vol. 2 No. 4 (2023): September
- Muhammad Hasbi, Fitri, Pre-Service Teachers with Courses in Problem-Based Learning in Mathematics , ETDC: Indonesian Journal of Research and Educational Review : Vol. 2 No. 2 (2023): March
- Fitri, The Impact of Reading Interest and Learning Habits on Students' Achievement for Integrated Science Learning , ETDC: Indonesian Journal of Research and Educational Review : Vol. 1 No. 4 (2022): September
- Muhammad Hasbi, Fitri, Realistic Mathematics Education and REACT Strategy in Context Mathematical Connections , ETDC: Indonesian Journal of Research and Educational Review : Vol. 3 No. 4 (2024): September
- Satriani, Muhammad Hasbi, Yusuf Razaq, Nurul Muzkiyah, Ainun Fahira, Reciprocal Teaching Strategy on Reading Comprehension: A Review for Prospective Teachers , ETDC: Indonesian Journal of Research and Educational Review : Vol. 1 No. 2 (2022): March