Exploring Students’ Learning Strategies and Self-Regulated Learning in Solving Mathematical Higher-Order Thinking Problems
Considering the low achievement of Indonesian students in international studies (PISA), which measures Higher-Order Thinking Skill (HOTS) in solving t.
- Pub. date: April 15, 2021
- Pages: 743-756
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Considering the low achievement of Indonesian students in international studies (PISA), which measures Higher-Order Thinking Skill (HOTS) in solving the problem, improving the quality of mathematics learning in Indonesia is very important. The purpose of this research was conducted to explore the variations in students’ learning strategies and students’ Self–Regulated Learning (SRL) in solving mathematical HOT problems. The study employed a mixed-method, namely quantitative and qualitative methods were applied through five tests and seven interviews for over eight weeks. Two types of instruments were employed in this study, and they include tests and interviews. At the initial stage, we randomly selected 30 students from all those in grade 10 (Senior High School ), after which 12 were chosen purposively after the pre-test for an interview, having satisfied all complete group, middle group, and lower group. All of them were treated using metacognitive questions. Data analysis techniques used were percentage, data reduction, presentation, and conclusion. The quantitative results showed the students could generally use orientation, organization, and elaboration learning strategies as observed with 68.3%, 60%, and 56.7% for complete, middle, and lower groups. Moreover, the students were also observed to have conducted three cognitive processes in selecting the rules for solving the mathematical HOT problem, namely using models and drawing, written texts, and combining both. Furthermore, their final solution failures were affected by their misconceptions and errors in creating the mathematical model. The interview results on designing the learning procedures, monitoring the progress, and evaluating the outcomes, show that the students’ SRL level is good for complete (89.3%), middle (75%), and lower groups (60.7%).
Keywords: Learning strategies, SRL, HOTS, metacognitive question, misconceptions.
References
Aisyah, A., Salehuddin, K., Aman, I., Yasin, R., & Mimiko, N. (2016). Eliciting elements of higher order thinking skill in the higher secondary examination question structure in Japan and Malaysia Aznur. In M. Y. M. Noor, B. E. Ahmad, M. R. Ismail, H. Hashim & M. A. A. Baharum (Eds.), Proceeding of the Regional Conference on Science, Technology and Social Science (RCSTSS 2016) (pp. 455-464). Springer. https://doi.org/10.1007/978-981-13-0074-5.
Akhsani, L., & Purwanto, J. (2014). Meningkatkan kemampuan berfikir tingkat tinggi mahasiswa pendidikan matematika UMP melalui model project based learning pada mata kuliah kalkulus lanjut [Improving high level thinking ability of UMP mathematics education students through project based learning]. EDU-MAT Mathematics Education Journal, 2(3), 279–286.
Ansari, B. I., & Sulastri, R. (2018). Improving mathematical representation ability in solving word problems through the use of cognitive strategies: orientation, organization, and elaboration. Journal of Physics: Conference Series, 1028(1), 1-7. https://doi.org/10.1088/1742-6596/1028/1/012144.
Ansari, B. I., &Wahyu, N. (2017). Mathematics understanding and anxiety in collaborative teaching. Journal of Physics: Conference series, 943(1), 1-6
Ansari, B. I., & Abdullah, R (2020). Higher-Order Thinking Skill (HOTS) bagi kaum milenial melalui inovasi pembelajaran matematika [Higher-Order Thinking Skill (HOTS) for millennials through mathematics learning innovations]. CV. IRDH.
Baltaci, S., Yildiz, A., & Ozcakir, B. (2016).The relationship between metacognitive awareness levels, learning styles, genders and mathematics grades of fifth Graders. Journal of Education and Learning, 5(4), 78–89.
Buku, M. N. I., Corebima, A. D., & Rohman, F. (2016). The correlation between metacognitive skills and the critical thinking skills of senior high school students in biology learning through the implementation of Problem Based Learning (PBL) in Malang, Indonesia. International Journal of Academic Research and Development, 1(5), 58-63.
Butler, D. L. (2002). Individualizing instruction in self–regulated learning. Theory into Practice, 41(2), 81-92. https://doi.org/10.1207/s15430421tip4102_4
Creswell, J. W. (2010). Research design; qualitative, quantitative, and mixed methods approaches (3rd ed.). Pustaka Pelajar.
Creswell, J. W., & Plano Clark, V. L. (2011).Designing and conducting mixed methods research (2nd ed.). Sage Publications.
Demirhan, E., & Koklukaya, A. N. (2014). Thecritical thinking dispositions of prospective science teachers. Procedia- Social and Behavioral Sciences, 116, 1551-1555. https://doi.org/10.1016/j.sbspro.2014.01.433
Eker, C., & Arsal, Z. (2014). Impact of teaching diaries on the use of students’ self-regulation strategies. Karaelmas Journal of Educational Sciences/ Karaelmas EğitimBilimleri Dergisi, 2(2014), 80–93.
Fahim, M., & Dorrimanesh, P. (2015). Do better critical thinkers use metacognitive learning strategies more frequently? Advances in Asian Social Science, 6(3), 1045-1052.
Fischer, G. (1998). Making learning a part of life beyond the gift-wrapping approach of technology. In P. Alheit, & E. Kammler (Eds.), Lifelong Learning and its Impact on Social and Regional Development (pp.435-462). Donat Verlag.
Gagne, R. (1985). The condition of learning and theory of instruction (4th ed.). CBS College Publishing.
Hewson, P. W., & Thorley, N. (1989).The conditions of conceptual change in the classroom. International Journal of Science Education, 11(Special Issue), 541–553. https://doi.org/10.1080/0950069890110506
Howard, J. B. (2004). Metacognitive inquiry. Elon University School of Education.
Kerlin, B. A. (1992). Cognitive engagement style, self-regulated learning and cooperative learning.https://www.scribd.com/document/38455667/Cognitive-Engagement-Style.
Kilpatrick, J., Swafford, J., & Findell, B. (2001).Adding It Up: helping children learn mathematics. National Academy Press.
Kozikoglu, I. (2019). Investigating critical thinking in prospective teachers: metacognitive skill, problem solving skill and academic self and academic self-efficacy. Journal of Social Studies Education Research, 10(2), 111–130.
Kramarski, B., & Mizrachi, N. (2004). Enhancing mathematical literacy with the use of metacognitive guidance in forum discussion. In M. J. Høines & A. B. Fuglestad (Eds), Proceedings of the 28th Conference of the International Group for Psychology of Mathematics Education (pp.169–176). Bergen University College.
Miles, M. B., & Huberman, A. (1994). Qualitative data analysis (2nd ed.). Sage Publication
Nalurita, I. V., Sutinah, & Rahayu, E. (2013). Profil kemampuan siswa SMP dalam menyelesaikan soal HOT pada materi lingkaran ditinjau dari kemampuan matematika siswa [Profile of junior high school students ability in solving HOT questions on circle material in terms of students” mathematical ability]. MATHEdunesa, 2(3), 1-8
Organisation for Economic Co-operation and Development. (2014). PISA 2012 Result: What student know and can do- Student performance in mathematics, reading and science (Volume 1, Revised edition). https://www.oecd.org/pisa/keyfindings/pisa-2012-results-volume-I.pdf
Pertiwi, C. M., Rohaeti, E. I., Hidayat, W. (2021). The students’ mathematical problem–solving abilities (MPSA), Self-Regulated Learning (SRL), and VBA Microsoft word in new normal: A development of teaching materials. Infinity Journal, 10(1), 17-30. https://doi.org/10.22460/infinity.v10i1.p17-30
Plano Clark, V. L., Anderson, N., Wertz, J. A., Zhou, Y., Schumacher, K., & Miaskowski, C. (2015). Conceptualizing longitudinal mixed methods designs: A methodological review of health sciences research. Journal of Mixed Methods Research, 9(4), 297–319. https://doi.org/10.1177/1558689814543563
Posthuma, B., Human, A., & Vander Walt, A. (2015). International comparisons of foundation phase number domain mathematics knowledge and practice standards. South African Journal of Education, 35(1), 1-13.
Purnomo, D., Nusantara, T., Subanji, S., & Rahardjo, S. (2017). The characteristic of the process of students’ metacognition in solving calculus problems. International Education Studies, 10(5), 13-25. https://doi.org/10.5539/ies.v10n5p13
Quieng, M. C., Lim, P. P., & Lucas, M. R. D. (2015). 21st century-based soft skill: Spotlight on non-cognitive skill in a cognitive-laden dentistry program. European Journal of Contemporary Education, 11(1), 72–81. https://doi.org/10.13187/ejed.2015.11.72
Saleh, M., Isa, M., Murni, Darhim, & Irianto, A. B. (2019). Students’ error types and reasoning ability achievement using the Indonesian realistic mathematics education approach. International Journal of Scientific & Technology Research, 8(7), 364–369.
Saleh, M., Prahmana, R. C. I., Isa, M., & Murni. (2018). Improving the reasoning ability of elementary school student through the Indonesian realistic mathematics education. Journal on Mathematics Education, 9(1), 41–53.
Schoenfeld, A. H. (2006). Problem solving from cradle to grave. Annals of Didactics and Cognitive Sciences/ Annales de Didactique et de Sciences Cognitives, 11, 41-73.
Senemoglu, N. (2013). Gelisim ogrenme ve ogretim [Development learning and teaching]. Yargi Yayinevi.
Shannon-Baker, P. (2016). Making paradigms meaningful in mixed methods research. Journal of Mixed Methods Research, 10(4), 319–334.
Sharif, A., & Cho, S. (2015). 21st-century instructional designer: bridging the perceptual gaps between identity, practice, impact and professional development. RUSC Universities and Knowledge Society Journal, 12(3), 72–85. https://doi.org/10.7238/rusc.v12i3.2176
Tan, O. S. (2004). Cognition, metacognition and problem based learning. In T. N. Seng (Ed.), Enhancing thinking through problem based learning approaches. Thomson.
Uzuntiryaki-Kondakci, E., & Capa-Aydin, Y. (2013). Predicting critical thinking skill of university students through metacognitive self-regulation skill and chemistry self-efficacy. Educational Sciences: Theory and Practice, 13(1), 666–670.
Veenman.M., Van Hout-Wolters, B., & Afflerbach, P. (2006). Metacognition and learning: conceptual and methodological consideration. Metacognition and Learning, 1(1), 3–14. https://doi.org/10.1007/s11409-006-6893-0
Widana, I. W., Sumandya, I. W., Sukendra, K., & Sudiarsa, I. W. (2020). Analysis of conceptual understanding, digital literacy, motivation, divergent of thinking, and creativity on the teachers skills in preparing HOTS-based assessments. Journal of Advent Research in Dynamical & Control Systems, 12(8), 1–8. https://doi.org/10.5373/JARDCS/V1218/20202612
Willingham, D. (2007). Critical thinking: Why is it so hard to teach? Arts Education Policy Review, 109(4), 21–32.
Yen, T. S., & Halili, S. H. (2015). Effective teaching of higher order thinking in education. The Online Journal of Distance Education and e-Learning, 3(2), 41–47.
Zimmerman, B. J. (1990). Self-regulated learning and academic achievement: An overview. Educational Psychologist, 25(1), 3–17.
Zimmerman B. J., & Schunk, D. H. (2001). Self-regulated learning and academic achievement: Theoretical perspectives. Routledge.