DIMENSI FAKTOR AFEKTIF DALAM PENYELESAIAN MASALAH MATEMATIK
DOI:
https://doi.org/10.46754/jmsi.2024.06.002Keywords:
Dimensi faktor afektif, Penyelesaian masalah matematik, Analisis faktor, Faktor dominanAbstract
Kajian ini bertujuan untuk menghurai peranan beberapa faktor afektif yang mempengaruhi proses penyelesaian masalah matematik di kalangan pelajar sekolah menengah. Tiga aspek penghuraian yang dilakukan iaitu penentuan bilangan faktor dominan, pembebanan setiap item dalam setiap faktor dan juga penentuan item yang mencapai tahap persetujuan konsensus dalam setiap faktor. Seramai 285 pelajar tingkatan lima aliran sains dari tiga buah sekolah berasrama penuh di Terengganu telah dipilih sebagai responden kajian. Maklumat kajian dikumpulkan dengan menggunakan soal selidik 20 item yang telah diubahsuai daripada kajian lepas. Maklumat yang dikumpulkan ini dianalisis mengikut kaedah analisis faktor dan analisis deskriptif dengan menggunakan satu perisian statistik untuk mendapatkan faktor dominan, pembebanan item dan juga persetujuan konsensus item. Kajian ini mendapati empat faktor afektif dominan yang boleh dikeluarkan. Daripada empat faktor ini, kesemua item mencatat pembebanan melebihi 0.4. Kajian ini juga mendapati terdapat sembilan item yang mencapai persetujuan konsensus dengan sekurang-kurang satu item bagi setiap faktor. Jadi dapat dilihat bahawa empat faktor afektif memainkan peranan yang penting dalam penyelesaian masalah matematik.
References
Pusat Perkembangan Kurikulum. (2002). Huraian sukatan pelajaran matematik tambahan tingkatan 5. PPK. Kuala Lumpur: Kementerian Pendidikan Malaysia.
Schoenfeld, A. H. (2016). Learning to think mathematically: Problem solving, metacognition, and sense making in mathematics (Reprint). Journal of Education, 196(2), 1-38. DOI: https://doi.org/10.1177/002205741619600202
Nguyen, H. A., Guo, Y., Stamper, J., & McLaren, B. M. (2020). Improving students’ problemsolving flexibility in non-routine mathematics. In Artificial intelligence in education, 21st International Conference, AIED 2020, Ifrane, Morocco, July 6-10, 2020, Proceedings, Part II 21 (pp. 409-413). Springer International Publishing. DOI: https://doi.org/10.1007/978-3-030-52240-7_74
Anggraini, D., Suryadi, D., & Albania, I. N. (2023). The analysis of students’ difficulties in solving non-routine mathematical problems. In AIP Conference Proceedings (Vol. 2734, No. 1). AIP Publishing. DOI: https://doi.org/10.1063/5.0175692
Liang, C. P., & She, H. C. (2023). Investigate the effectiveness of single and multiple representational scaffolds on mathematics problem solving: Evidence from eye movements. Interactive Learning Environments, 31(6), 3882-3897. DOI: https://doi.org/10.1080/10494820.2021.1943692
Copur-Gencturk, Y., & Doleck, T. (2021). Strategic competence for multistep fraction word problems: an overlooked aspect of mathematical knowledge for teaching. Educational Studies in Mathematics, 107, 49-70. (2021). DOI: https://doi.org/10.1007/s10649-021-10028-1
Keşan, C. (2023). The connection of mathematics with real-life situations: Preservice elementary mathematics teachers’ perceptions of creating and evaluating story problems. International Online Journal of Primary Education, 12(2), 118-135. DOI: https://doi.org/10.55020/iojpe.1135191
Polya, G. (1985). How to solve it. (2nd eds.). NJ: Princeton University Press.
Nik Azis, N. P. (1996). Penghayatan matematik KBSR dan KBSM. Kuala Lumpur: Dewan Bahasa dan Pustaka.
DeBellis, V. A., & Goldin, G. A. (2006). Affect and meta-affect in mathematical problem solving: A representational perspective. Educational Studies in Mathematics, 63(2), 131-147. DOI: https://doi.org/10.1007/s10649-006-9026-4
Hannula, M. S. (2012). Exploring new dimensions of mathematics-related affect: Embodied and social theories. Research in Mathematics Education, 14(2), 137-161. DOI: https://doi.org/10.1080/14794802.2012.694281
Nicolaidou, M., & Philippou, G. (2003). Attitudes towards mathematics, self-efficacy and achievement in problem solving. European Research in Mathematics Education III, 1(11).
Hannula, M. S. (2006). Motivation in mathematics: Goals reflected in emotions. Educational Studies in Mathematics, 63, 165-178. DOI: https://doi.org/10.1007/s10649-005-9019-8
Kroll, D. L., & Miller, T. (1993). Insights from research on mathematical problem solving in the middle grade. In D. T. Owens (Eds.), Research idea for classroom: Middle grades mathematics (pp. 58-77). New York: Macmillan Publishing Company. (1993).
Lester, F. K., & Musing, Jr. (1994). About mathematical problem solving: 1970-1994. Journal for Research in Mathematics Education, 25, 660-675. DOI: https://doi.org/10.5951/jresematheduc.25.6.0660
Sturm, N., & Bohndick, C. (2021). The influence of attitudes and beliefs on the problemsolving performance. Frontiers in Education, 6, p. 525923. Frontiers Media SA. DOI: https://doi.org/10.3389/feduc.2021.525923
Beaver, J. R. (1994). Problem solving across curriculum. Eugene, OR: International Society for Technology in Education.
Op’t Eynde, P., De Corte, E., & Verschaffel, L. (2002). Framing students’ mathematics related beliefs: A quest for conceptual clarity and a comprehensive categorization. In Beliefs: A hidden variable in mathematics education? (pp. 13-37). Dordrecht: Springer Netherlands. DOI: https://doi.org/10.1007/0-306-47958-3_2
Hmelo- Silver, C. E. (2004). Problem-based learning: What and how do students learn? Educational Psychology Review, 16, 235-266. DOI: https://doi.org/10.1023/B:EDPR.0000034022.16470.f3
Charles, L., Lester, F., & O’Daffer, P. (1997). How to evaluate progress in problem solving. NCTM, Reston: Virginia.
Effendi, Z., Sabri, A., & Zolkepeli, H. (2004). Kebolehpercayaan dan kesahan konstruk bagi skala sikap terhadap penyelesaian masalah. Prosisding Simposium Kebangsaan Sains Matematik ke XIII. Kedah: Universiti Utara Malaysia.
Fabrigar, L. R., & Wegener, D. T. (2011). Exploratory factor analysis. Oxford University Press. DOI: https://doi.org/10.1093/acprof:osobl/9780199734177.001.0001
De Vellis, R.F. (1991). Scale Development: Theory and applications. London: Sage.
Ruscio, J., & Roche, B. (2012). Determining the number of factors to retain in an exploratory factor analysis using comparison data of known factorial structure. Psychological Assessment, 24(2), 282. DOI: https://doi.org/10.1037/a0025697
Goddard, J., & Kirby, A. (1976). An introduction to factor analysis. Norwich, Geographical Abstracts Ltd, University of East Anglia.
Andrews, P., & Hatch, G. A. (1999). New look at secondary teachers’ conceptions of mathematics and its teaching. British Educational Research Journal, 25(2), 203-223. DOI: https://doi.org/10.1080/0141192990250205
Bryman, A., & Cramer, D. (2001). Quantitative data analysis with SPSS release 10 for windows. London: Routledge. DOI: https://doi.org/10.4324/9780203471548
Abdullah, M. L., Mat Tap, A. O., & Wong Abdullah, W. S. (2004). The statistical evidence in describing the students’ beliefs about mathematics. The International Journal for Mathematics Teaching and Learning, 6(1).
Abdullah, M. L., & Kamaludin, A. S. (2007). The perceptions of Malaysian undergraduate students about a set of generic skills. Journal of Institutional Research South East Asia, 5(1), 15-26.
Mathew, G., Agha, R., Albrecht, I., Goel, P., Mukherjee, I., Pai, P., & Noureldin, A. (2021). STROCSS 2021: Strengthening the reporting of cohort, cross-sectional and case-control studies in surgery. International Journal of Surgery Open, 37, 100430. DOI: https://doi.org/10.1016/j.ijso.2021.100430
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