ROLE OF SCAFFOLDING FOR REFLECTIVE THINKING ON THE MATHEMATICAL PROBLEM SOLVING
(1) Universitas Borneo Tarakan
(2) Universitas Borneo Tarakan
(3) Universitas Borneo Tarakan
(4) Universitas Borneo Tarakan
(*) Corresponding Author
Abstract
Solving mathematical problems require knowledge and experiences to determine the right strategy. One of the efforts that can be used to encourage problem-solving skills is to develop reflective thinking. Reflective thinking can be a strategy to explore mathematical problem-solving abilities by questioning the answers or questioning the problems encountered so that new thoughts can be used to determine appropriate problem-solving strategies. Therefore, this study aims to explain the reflective thinking process carried out by prospective teachers in solving mathematical problems. This study used a qualitative research design with data collection through test and interview process as a triangulation stage. Participants in this study were 2 prospective teachers who carried out a reflective thinking process and were known through think aloud in implementing the test. The results showed that scaffolding was needed to complete the reflective thinking process in problem-solving. Two scaffolding positions appeared in the reflective thinking stage: (1) after the questioning and evaluating stages, scaffolding is needed as a bridge to the reasoning stage; (2) After the questioning stage, scaffolding is needed to bridge the evaluating and reasoning stages. In the reflective thinking process, scaffolding generates new knowledge to find the right problem-solving strategy.
Keywords
Full Text:
PDFReferences
Alrawili, K. S., Osman, K., & Almuntasheri, S. (2020). Effect of Scaffolding Strategies on Higher-Order Thinking Skills in Science Education. Journal of Baltic Science Education, 19(5), 718–729. https://doi.org/https://doi.org/10.33225/jbse/20.19.718
Avcu, S., & Avcu, R. (2010). Pre-service elementary mathematics teacher’s use of strategies in mathematical problem solving. Procedia - Social and Behavioral Sciences, 9, 1282–1286. https://doi.org/10.1016/j.sbspro.2010.12.321
Biggie, M. L., & Shermis, S. S. (1999). LearningTheories For Teachers (6thed). NY: Addison Wesley Longman.
Birjandi, P., & Jazebi, S. (2014). A comparative Analysis of Teachers’ Scaffolding Practices. International Journal of Language and Linguistics. https://doi.org/10.11648/j.ijll.20140203.14
Carter, K. (1990). Teachers’ knowledge and learning to teach. In Handbook of research on teacher education.
Choy, S. C. (2012). Reflective Thinking and Teaching Practices: a Precursor for Incorporating Critical Thinking Into the Classroom? International Journal of Instruction, 5(1), 167–182.
Demirel, M., Derman, I., & Karagedik, E. (2015). A study on the relationship between reflective thinking skills towards problem solving and attitudes towards mathematics. Procedia - Social and Behavioral Sciences, 197(February), 2086–2096. https://doi.org/10.1016/j.sbspro.2015.07.326
Dewey, J. (1933). How we think: a restatement of the relation between reflective thinking to the educatative process. Heath.
Hidajat, F. A. (2019). Proses Berpikir Reflektif-Kreatif Siswa Dalam Menyelesaikan Masalah Bangun Datar. Universitas Negeri Malang.
Hidajat, F. A., Sa’dijah, C., Sudirman, & Susiswo. (2019). Exploration of students’ arguments to identify perplexity from reflective process on mathematical problems. International Journal of Instruction. https://doi.org/10.29333/iji.2019.12236a
Huberman, A., & Miles, M. (2012). The Qualitative Researcher’s Companion. In The Qualitative Researcher’s Companion. https://doi.org/10.4135/9781412986274
Jagals, D., & Van Der Walt, M. (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
Johns, C. (2017). Becoming a reflective practitioner. John Wiley & Sons.
Kizilkaya, G., & Askar, P. (2009). The Development of A Reflective Thinking Skill Scale towards Problem Solving. Education and Science, 34(154), 2009.
Montague, M., Warger, C., & Morgan, T. H. (2000). Solve It! Strategy Instruction to Improve Mathematical Problem Solving. Learning Disabilities Research and Practice, 51, 666–671. https://doi.org/10.1207/sldrp1502_7
Muzaimah, M., & Noer, S. H. (2019). The analysis of students ’ reflective thinking skills in solving mathematical story problems on quadrilateral material. Regular Proceeding 3rd ISIMMED, 21–26.
Nanna, A. W. I., & Pratiwi, E. (2020). Students ’ Cognitive Barrier in Problem Solving : Picture -based Problem-solving. Al-Jabar: Jurnal Pendidikan Matematika, 11(1), 72–82. https://doi.org/doi.org/10.24042/ajpm.v11i1.5652
Nanna, A. W. I., Pratiwi, E., & Anggraeni, C. (2020). Analisis kesalahan mahasiswa pgsd dalam menyelesaikan masalah geometri. SIGMA, 6(1), 60–77.
Nunokawa, K. (2005). Mathematical problem solving and learning mathematics: What we expect students to obtain. Journal of Mathematical Behavior, 24(3–4), 325–340. https://doi.org/10.1016/j.jmathb.2005.09.002
Polya, G. (2004). How To Solve It: A New Aspect of Mathematical Method (No. 246). In Princeton University Press.
Prayitno, A., Subanji, & Muksar, M. (2016). Refractive Thinking with Dual Strategy in Solving Mathematics Problem. IOSR Journal of Research & Method in Education Ver. III, 3(6), 49–56. https://doi.org/https://doi.org/10.9790/7388- 0603034956
Pretorius, L., Mourik, G. P. Van, & Barratt, C. (2017). Student Choice and Higher-Order Thinking : Using a Novel Flexible Assessment Regime Combined With Critical Thinking Activities to Encourage the Development of Higher Order Thinking. International Journal of Teaching and Learning in Higher Education, 29(2), 389–401.
Riastuti, N., Mardiyana, M., & Pramudya I. (2017). Students’ Errors in Geometry Viewed from Spatial Intelligence. International Conference on Mathematics and Science Education (ICMScE).
Rudd, R. D. (2007). Defining Critical Thinking. Technique, 82(7), 46–49.
Sanders, M., & Moulenbelt, J. (2011). Defining Critical Thinking. Inquiry: Critical Thinking Across the Disciplines. https://doi.org/10.5840/inquiryctnews20112616
Sezer, R. (2008). Integration of Critical Thinking Skills into Elementary School Teacher Education Courses in Mathematics. Education, 128(3), 349–362.
Tawfik, A. A., Law, V., Ge, X., Xing, W., & Kim, K. (2018). The effect of sustained vs. faded scaffolding on students’ argumentation in ill-structured problem solving. Computers in Human Behavior. https://doi.org/10.1016/j.chb.2018.01.035
Tuncer, M., & Ozeren, E. (2012). Prospective Teacher’s Evaluations in Terms of Using Reflective Thinking Skills to Solve Problems. Procedia - Social and Behavioral Sciences. https://doi.org/10.1016/j.sbspro.2012.08.221
DOI: http://dx.doi.org/10.24127/ajpm.v11i1.4757
Refbacks
- There are currently no refbacks.