Metacognitive Skills of College Students in Mathematics Problem Solving: Overview by Student's Field Dependent

Djatmiko Hidajat 1 Indonesia , Muhammad Hasbi 2 Indonesia , Fitri Fitri 2 Indonesia
1 Universitas Veteran Bangun Nusantara
2 Institut Agama Islam As'adiyah Sengkang
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Published 2024-03-27
Vol. 3 No. 2 (2024) PAGES 196-206
DOI 10.51574/ijrer.v3i2.1393
Views / Downloads 709 452

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.

Hidajat, D., Hasbi, M., & Fitri, F. (2024). Metacognitive Skills of College Students in Mathematics Problem Solving: Overview by Student’s Field Dependent. ETDC: Indonesian Journal of Research and Educational Review , 3(2), 196–206. https://doi.org/10.51574/ijrer.v3i2.1393
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  1. 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
  2. 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
  3. 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
  4. 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
  5. 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
  6. 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
  7. 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
  8. 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
  9. 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
  10. 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
  11. 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
  12. 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
  13. 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
  14. 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
  15. 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
  16. 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
  17. Miles, M. B., Huberman, A. M., & Saldaña, J. (2018). Qualitative data analysis: A methods sourcebook (4st ed.). Thousand Oaks: Sage publications.
  18. 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
  19. 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
  20. 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
  21. 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
  22. 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
  23. 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
  24. 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
  25. 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
  26. 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
  27. 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
  28. 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
  29. 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
  30. 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
  31. 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
  32. 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
  33. 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
  34. 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

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College Students Field Dependent Metacognitive Skills Problem Solving