Analysis of Students' Metacognitive Ability and Meta-skills in Solving Mathematical Problems with Higher-Order Thinking Skills
Main Article Content
Abstract
Article Details
This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.
Authors who publish with this journal agree to the following terms:
- Authors retain copyright and acknowledge that the MathSciEdu: Journal of Mathematics and Science Education is the first publisher, licensed under a Creative Commons Attribution-Share Alike 4.0 (CC BY-SA).
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgment of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges and earlier and greater citation of published work.
How to Cite
References
[1] M. S. Ramírez-Montoya, L. Andrade-Vargas, D. Rivera-Rogel, and M. Portuguez-Castro, ‘Trends for the future of education programs for professional development’, Sustainability, vol. 13, no. 13, p. 7244, 2021. https://doi.org/10.3390/su13137244
[2] L. Xiaomin and E. Auld, ‘A historical perspective on the OECD’s “humanitarian turn”: PISA for Development and the Learning Framework 2030’, Comp. Educ., vol. 56, no. 4, pp. 503–521, 2020. https://doi.org/10.1080/03050068.2020.1781397
[3] M. Taguma and M. Barrera, ‘OECD future of education and skills 2030: Curriculum analysis’, Dispon. Su Httpswww Oecd Orgeducation2030-Proj.--Learn. Pdf, 2019.
[4] C. Simons, S. R. Metzger, and S. Sonnenschein, ‘Children’s metacognitive knowledge of five key learning processes.’, Transl. Issues Psychol. Sci., vol. 6, no. 1, p. 32, 2020. https://doi.org/10.1037/tps0000219
[5] S. M. Cox, K. Jongbloed, and C. Black, ‘Metacognition in Teaching: Using a" Rapid Responses to Learning" Process to Reflect on and Improve Pedagogy.’, Teach. Learn. Inq., vol. 10, 2022. https://doi.org/10.20343/teachlearninqu.10.27
[6] H. S. Maan, M. Kaur, and R. Patil, ‘Intelligent system for cognitive study on student’s network based on computational analysis’, 2023. https://doi.org/10.21203/rs.3.rs-2430216/v1
[7] J. H. Flavell, ‘Speculations about the nature and development of meta-cognition’, Metacognition Motiv. Underst., pp. 21–29, 1987.
[8] M. C. Gamboa Mora, F. Hernández López, N. M. López Rodríguez, and G. J. Vesga Bravo, ‘Metacognitive skills of undergraduate university students: study based on three colombian institutions’, Psicogente, vol. 26, no. 50, pp. 85–111, 2023. https://doi.org/10.17081/psico.26.50.6162
[9] C. Magno, ‘Assessing grade school students metacognition in solving mathematical problem’, Assess. Handb., pp. 1–22, 2009.
[10] Y.-H. Wen, ‘A study on metacognition of college teachers’, J. Hum. Resour. Adult Learn., vol. 8, no. 1, p. 80, 2012.
[11] P. Mytkowicz, D. Goss, and B. Steinberg, ‘Assessing Metacognition as a Learning Outcome in a Postsecondary Strategic Learning Course.’, J. Postsecond. Educ. Disabil., vol. 27, no. 1, pp. 51–62, 2014.
[12] S. C. Choy, J. S.-C. Yim, and P. L. Tan, ‘A metacognitive knowledge, metacognitive experience, and its effects on learning outcomes for STEM and non-STEM Malaysian students’, Int. J. Adv. Res. Educ. Soc., vol. 2, no. 1, pp. 1–14, 2020.
[13] N. Sawhney and S. Bansal, ‘Metacognitive awareness of undergraduate students in relation to their academic achievement’, Int. J. Indian Psychol., vol. 3, no. 1, pp. 107–114, 2015. https://doi.org/10.25215/0301.136
[14] F. Gul and S. Shehzad, ‘Relationship between metacognition, goal orientation and academic achievement’, Procedia-Soc. Behav. Sci., vol. 47, pp. 1864–1868, 2012. https://doi.org/10.1016/j.sbspro.2012.06.914
[15] A. Adigüzel and A. Orhan, ‘The Relation between English Learning Students’ Levels of Self-Regulation and Metacognitive Skills and Their English Academic Achievements.’, J. Educ. Pract., vol. 8, no. 9, pp. 115–125, 2017.
[16] A. F. A. Khurram and G. Shabbir, ‘Relationship between University Students’metacognitive Abilities and Academic Achievement in History’, J. Res. Soc. Pak., vol. 58, no. 3, p. 1, 2021.
[17] D. T. Conley, ‘Learning Strategies as Metacognitive Factors: A Critical Review.’, Educ. Policy Improv. Cent., 2014.
[18] F. Wagaba, D. F. Treagust, A. L. Chandrasegaran, and M. Won, ‘Using metacognitive strategies in teaching to facilitate understanding of light concepts among year 9 students’, Res. Sci. Technol. Educ., vol. 34, no. 3, pp. 253–272, 2016. https://doi.org/10.1080/02635143.2016.1144051
[19] S. E. M. Everwijn, G. B. J. Bomers, and J. A. Knubben, ‘Ability-or competence-based education: bridging the gap between knowledge acquisition and ability to apply’, High. Educ., vol. 25, pp. 425–438, 1993. https://doi.org/10.1007/BF01383845
[20] O. A. Ologbosere, ‘Data literacy and higher education in the 21st century’, IASSIST Q., vol. 47, no. 3–4, 2023. https://doi.org/10.29173/iq1082
[21] D. Bridges, ‘Transferable skills: a philosophical perspective’, Stud. High. Educ., vol. 18, no. 1, pp. 43–51, 1993. https://doi.org/10.1080/03075079312331382448
[22] D. Nurgabyl, B. Satkulov, and A. Kagazbayeva, ‘Formation and Development of Mathematical Literacy in the Context of Evaluative--Study Tasks of PISA.’, J. Math. Educ., vol. 14, no. 4, pp. 701–722, 2023. https://doi.org/10.22342/jme.v14i4.pp701-722
[23] P. Prasittichok and K. K. Klaykaew, ‘Meta-skills development needs assessment among undergraduate students’, Heliyon, vol. 8, no. 1, 2022. https://doi.org/10.1016/j.heliyon.2022.e08787
[24] G. R. Bushe and R. J. Marshak, ‘Dialogic organization development’, NTL Handb. Organ. Dev. Change, pp. 193–211, 2014. https://doi.org/10.1002/9781118836170.ch10
[25] C. M. Aurah, S. Koloi-Keaikitse, C. Isaacs, and H. Finch, ‘The role of metacognition in everyday problem solving among primary students in Kenya’, Probl. Educ. 21st Century, vol. 30, no. 2011, pp. 9–21, 2011. https://doi.org/10.33225/pec/11.30.09
[26] A. Kuzle, ‘Patterns of metacognitive behavior during mathematics problem-solving in a dynamic geometry environment’, Int. Electron. J. Math. Educ., vol. 8, no. 1, pp. 20–40, 2013. https://doi.org/10.29333/iejme/272
[27] H. D. CELIKER, ‘Development of metacognitive skills: designing problem-based experiment with prospective science teachers in biology laboratory’, Educ. Res. Rev., vol. 10, no. 11, pp. 1487–1495, 2015. https://doi.org/10.5897/ERR2015.2283
[28] S. Nurpratiwi and A. Amaliyah, ‘Empowering Meta-skills of Undergraduate Students with Work-Based Learning Programs’, in ICHELSS: International Conference on Humanities, Education, Law, and Social Sciences, 2022, pp. 1011–1018.
[29] M. R. Kutz, ‘The Need for Contextual Intelligence in Athletic Training’, Int. J. Athl. Ther. Train., vol. 27, no. 6, pp. 261–265, 2022. https://doi.org/10.1123/ijatt.2022-0102
[30] M. Senova, ‘Meta-skills are the key to human potential’, J. Behav. Econ. Soc. Syst., vol. 2, no. 1, pp. 133–137, 2020.
[31] E. Mitsea, A. Drigas, and C. Skianis, ‘Well-Being Technologies and Positive Psychology Strategies for Training Metacognition, Emotional Intelligence and Motivation Meta-Skills in Clinical Populations: A Systematic Review’, Psych, vol. 6, no. 1, pp. 305–344, 2024. https://doi.org/10.3390/psych6010019
[32] E. Mitsea, A. Drigas, and C. Skianis, ‘Mindfulness strategies for metacognitive skills training in special education: the role of virtual reality’, Tech. Soc Sci J, vol. 35, p. 232, 2022. https://doi.org/10.47577/tssj.v35i1.7275
[33] A. J. Rohm, M. Stefl, and N. Ward, ‘Future proof and real-world ready: the role of live project-based learning in students’ skill development’, J. Mark. Educ., vol. 43, no. 2, pp. 204–215, 2021. https://doi.org/10.1177/02734753211001409
[34] T. K. Nasution and B. Sinaga, ‘Development of student worksheet geometry based metacognitive strategy through creative thinking ability’, IOSR J. Res. Method Educ. IOSR-JRME, vol. 7, no. 4, pp. 10–18, 2017.
[35] G. Sart, ‘The effects of the development of metacognition on project-based learning’, Procedia-Soc. Behav. Sci., vol. 152, pp. 131–136, 2014. https://doi.org/10.1016/j.sbspro.2014.09.169
[36] B. Setiawan and M. I. Supiandi, ‘The Contribution of Metacognitive Skills and Reasoning Skills on Problem Solving Ability Based on Problem Based Learning (PBL) Model.’, Anatol. J. Educ., vol. 3, no. 2, pp. 75–86, 2018. https://doi.org/10.29333/aje.2018.327a
[37] P. Maunsell, ‘Principles of Best Practice for the Integration of Transversal Skills in the Curricula of Further and Higher Education Programmes’, 2023.
[38] N. Sitanggang, P. L. A. Luthan, F. A. Dwiyanto, and S. D. Sanjaya, ‘The Dominant Soft Skills that Affect Readiness of Vocational Graduate in Entering Construction Labor Market’, J. Pendidik. Teori Penelit. Dan Pengemb., vol. 7, no. 8, pp. 343–350, 2022.
[39] M. Tuomiranta, S. Varpukari, and N. Syynimaa, ‘Toward a Model of Workforce Training and Development’, in International Conference on Computer Supported Education, SciTePress, 2019. https://doi.org/10.5220/0007756104280435
[40] J. T. Steed and A. Gair, ‘Enhancing 21st century interdisciplinary design skills within higher education through knowledge transfer partnerships’, in DS 104: Proceedings of the 22nd International Conference on Engineering and Product Design Education (E&PDE 2020), VIA Design, VIA University in Herning, Denmark. 10th-11th September 2020, 2020. https://doi.org/10.35199/EPDE.2020.1
[41] M. S. Ramírez-Montoya, L. Andrade-Vargas, D. Rivera-Rogel, and M. Portuguez-Castro, ‘Trends for the future of education programs for professional development’, Sustainability, vol. 13, no. 13, p. 7244, 2021. https://doi.org/10.3390/su13137244
[42] P. Güner and H. N. Erbay, ‘Metacognitive Skills and Problem-Solving.’, Int. J. Res. Educ. Sci., vol. 7, no. 3, pp. 715–734, 2021. https://doi.org/10.46328/ijres.1594
[43] I. Kozikoglu, ‘Investigating Critical Thinking in Prospective Teachers: Metacognitive Skills, Problem Solving Skills and Academic Self-Efficacy.’, J. Soc. Stud. Educ. Res., vol. 10, no. 2, pp. 111–130, 2019.
[44] N. Akben, ‘Effects of the problem-posing approach on students’ problem-solving skills and metacognitive awareness in science education’, Res. Sci. Educ., vol. 50, no. 3, pp. 1143–1165, 2020. https://doi.org/10.1007/s11165-018-9726-7
[45] A. H. Abdullah, S. N. S. A. Rahman, and M. H. Hamzah, ‘Metacognitive skills of Malaysian students in non-routine mathematical problem solving’, Bolema Bol. Educ. Matemática, vol. 31, pp. 310–322, 2017. https://doi.org/10.1590/1980-4415v31n57a15
[46] G. Bampa et al., ‘Metacognitive scales: Assessing metacognitive knowledge in older adults using everyday life scenarios’, Diagnostics, vol. 12, no. 10, p. 2410, 2022. https://doi.org/10.3390/diagnostics12102410
[47] E. R. Lai, ‘Metacognition: A literature review’, Always Learn. Pearson Res. Rep., vol. 24, pp. 1–40, 2011.
[48] S. Qiu and S. Jiang, ‘Building an interactive platform for practical design projects between students and industries’, in 7th International Conference on Higher Education Advances (HEAd’21), Editorial Universitat Politècnica de València, 2021, pp. 783–790. https://doi.org/10.4995/HEAd21.2021.12917
[49] J. Y. Choi, ‘Metacognitive evaluation method in consecutive interpretation for novice learners’, Meta, vol. 51, no. 2, pp. 273–283, 2006. https://doi.org/10.7202/013256ar
[50] L. Verschaffel, F. Depaepe, and W. Van Dooren, ‘Word problems in mathematics education’, Encycl. Math. Educ., pp. 908–911, 2020. https://doi.org/10.1007/978-3-030-15789-0_163
[51] P. E. Smaldino, ‘How to translate a verbal theory into a formal model’, Soc. Psychol., 2020. https://doi.org/10.31222/osf.io/n7qsh
[52] A. Bakker, J. Cai, and L. Zenger, ‘Future themes of mathematics education research: An international survey before and during the pandemic’, Educ. Stud. Math., vol. 107, no. 1, pp. 1–24, 2021. https://doi.org/10.1007/s10649-021-10049-w
[53] A. K. Kenedi, Y. Helsa, Y. Ariani, M. Zainil, and S. Hendri, ‘Mathematical Connection of Elementary School Students to Solve Mathematical Problems.’, J. Math. Educ., vol. 10, no. 1, pp. 69–80, 2019. https://doi.org/10.22342/jme.10.1.5416.69-80
[54] D. N. Diantik, E. R. Wulan, and A. M. Surur, ‘Students’ Metacognitive Skills in Solving Probability Investigation-Based Problem’, Al Khawarizmi J. Pendidik. Dan Pembelajaran Mat., vol. 6, no. 2, pp. 110–129, 2022. https://doi.org/10.22373/jppm.v6i2.14795
[55] W. Lestari and Jailani, ‘Enhancing an ability mathematical reasoning through metacognitive strategies’, in Journal of Physics: Conference Series, IOP Publishing, 2018, p. 012117. https://doi.org/10.1088/1742-6596/1097/1/012117
[56] N. Yuruk, M. E. Beeth, and C. Andersen, ‘Analyzing the effect of metaconceptual teaching practices on students’ understanding of force and motion concepts’, Res. Sci. Educ., vol. 39, pp. 449–475, 2009. https://doi.org/10.1007/s11165-008-9089-6
[57] R. E. Surya, ‘Development of Oriented Student Activity Sheets Problem-Based Learning Approaches Assisted by GeoGebra Software to Improve Metacognition Ability of Private Vocational High School PAB 12 Saentis’, Development, vol. 10, no. 9, 2019.
[58] M. T. Magiera and J. S. Zawojewski, ‘Characterizations of social-based and self-based contexts associated with students’ awareness, evaluation, and regulation of their thinking during small-group mathematical modeling’, J. Res. Math. Educ., vol. 42, no. 5, pp. 486–520, 2011. https://doi.org/10.5951/jresematheduc.42.5.0486
[59] C. Schuster, F. Stebner, D. Leutner, and J. Wirth, ‘Transfer of metacognitive skills in self-regulated learning: an experimental training study’, Metacognition Learn., vol. 15, no. 3, pp. 455–477, 2020. https://doi.org/10.1007/s11409-020-09237-5
[60] C. Johns, M. Mills, and M. Ryals, ‘An analysis of the observable behaviors of undergraduate drop-in mathematics tutors’, Int. J. Res. Undergrad. Math. Educ., vol. 9, no. 2, pp. 350–374, 2023. https://doi.org/10.1007/s40753-022-00197-6
[61] F. Stebner, C. Schuster, X.-L. Weber, S. Greiff, D. Leutner, and J. Wirth, ‘Transfer of metacognitive skills in self-regulated learning: Effects on strategy application and content knowledge acquisition’, Metacognition Learn., vol. 17, no. 3, pp. 715–744, 2022. https://doi.org/10.1007/s11409-022-09322-x
[62] S. Pulukuri and B. Abrams, ‘Improving learning outcomes and metacognitive monitoring: Replacing traditional textbook readings with question-embedded videos’, J. Chem. Educ., vol. 98, no. 7, pp. 2156–2166, 2021. https://doi.org/10.1021/acs.jchemed.1c00237
[63] G. Ferretti and S. Z. Caiani, ‘Solving the interface problem without translation: The same format thesis’, Pac. Philos. Q., vol. 100, no. 1, pp. 301–333, 2019. https://doi.org/10.1111/papq.12243
[64] A. Adinda, N. PARTA, and T. D. Chandra, ‘Investigation of students’ metacognitive awareness failures about solving absolute value problems in mathematics education’, Eurasian J. Educ. Res., no. 95, pp. 17–35, 2021. https://doi.org/10.14689/ejer.2021.95.2
[65] R. E. McCord and H. M. Matusovich, ‘Naturalistic observations of metacognition in engineering: Using observational methods to study metacognitive engagement in engineering’, J. Eng. Educ., vol. 108, no. 4, pp. 481–502, 2019. https://doi.org/10.1002/jee.20291
[66] S. A. Tachie, ‘Meta-cognitive skills and strategies application: How this helps learners in mathematics problem-solving’, Eurasia J. Math. Sci. Technol. Educ., vol. 15, no. 5, p. em1702, 2019. https://doi.org/10.29333/ejmste/105364
[67] M. Hennecke and S. Bürgler, ‘Metacognition and self-control: An integrative framework.’, Psychol. Rev., 2022. https://doi.org/10.31234/osf.io/9dqb7
[68] M. Y. YÜKSEL, Ö. E. Tekin, and K. Kaplaner, ‘The Research of The Relationship Between The Problem Solving Skills & Metacognitive Awareness of Middle School Students and The Social Emotional Learning’, Cukurova Univ. Fac. Educ. J., vol. 50, no. 1, pp. 487–506, 2021.