Problem-Solving In Mathematics Education
Keywords:
problem, problem-solving steps, constructivismAbstract
Social constructivism identifies mathematics as the result of posing and solving problems by humans. This study examines various views on problems and problem-solving described in multiple books and documents. This research is a literature study. The study results show that problems and problem-solving have an essential role in mathematics, have been recognised for a long time, and are considered essential skills to master. Experts suggest steps with slightly different details in solving the problem. There are various problem-solving strategies, and teachers can develop these skills in math classes in several ways.
References
Arıkan, E. E., & Ünal, H. (2015). Investigation of problem-solving and problem-posing abilities of seventh-grade students. Educational Sciences: Theory&Practices, 15(5), 1403–1416. https://doi.org/10.12738/estp.2015.5.2678
The Ontario Curriculum, (2018). www.Ontario.ca/edu
D’Zurilla, T. J., & Goldfried, M. R. (1968). Cognitive Processes, Problem-Solving, and Effective Behavior. In American. Psychological Association Convention. https://files.eric.ed.gov/fulltext/ED030138.pdf
Depdikbud. (1985). Kurikulum 1984 Sekolah Menengah Atas (SMA): Garis-Garis Besar Program Pengajaran (GBPP).
Duncker, K. (1945). On problem-solving. Psychological Monographs, 58(5), i–113. https://doi.org/10.1037/h0093599
El Bedewy, S., Lavicza, Z., Haas, B., & Lieban, D. (2021). A STEAM Practice Approach to Integrate Architecture, Culture and History to Facilitate Mathematical Problem-Solving. Education Sciences, 12(1), 9. https://doi.org/10.3390/educsci12010009
El Sayed, R. A. E. (2002). Effectiveness of problem posing strategies on prospective mathematics teachers’ problem solving performance. Journal of Science and Mathematics Education in Southeast Asia, 25(1), 56–69. http://www.recsam.edu.my/sub_jsmesea/images/journals/YEAR2002/2002Vol25No1/56-69.pdf
Ernest, P. (2004). The Philosophy of mathematics Education. Taylor&Francis e-Library.
Evans, J. R. (1980). Solving word problems and elementary mathematical modelling. International Journal of Mathematical Education in Science and Technology, 11(4), 517–522. https://doi.org/10.1080/0020739800110409
Felmer, P., Perdomo-Díaz, J., & Reyes, C. (2018). The ARPA Experience in Chile: Problem Solving for Teachers’ Professional Development. In P. Liljedahl & M. S. Trigo (Eds.), Mathematical Problem Solving Current Themes, Trends, and Research (pp. 311–337).
Gick, M. L. (1986). Problem-Solving Strategies. Educational Psychologist, 21, 99–120. https://sci-hub.st/10.1080/00461520.1986.9653026
National curriculum for upper secondary schools, (2014). https://www.hm.ee/en/national-curricula?view_instance=1¤t_page=1&sort_property=0&sort_direction=desc
Hatfield, Larry L., Bradbard, D. A. (Ed.). (1978). Mathematical Problem Solving. In Mathematical Problem Solving. ERIC Center for Science, Mathematics and Environmental Education.
Hersh, R. (1997). What Is Mathematics, Really? Oxford University Press.
Hoon, T. S., Kee, K. L., & Singh, P. (2013). Learning Mathematics Using Heuristic Approach. Procedia - Social and Behavioral Sciences, 90(InCULT 2012), 862–869. https://doi.org/10.1016/j.sbspro.2013.07.162
Keputusan Kepala Badan Standar, Kurikulum, dan Asesmen Pendidikan Kemdikbudristek No. 033/H/KR/2022, (2022).
Laudan, L. (1980). Progress and Its Problems: Toward a Theory of Scientific Growth. Erkenntnis, 15, 91–103. https://doi.org/doi.org/10.1007/BF02074137
Law, E. G. (1972). The Growth of Mathematical Thinking During the Secondary School Years, with Particular Reference to Problem Solving. Educational Review, 24(3), 197–211. https://doi.org/10.1080/0013191720240304
Lawson, M. J. (2003). Problem Solving. International Handbook of Educational Research in the Asia-Pacific Region, 511–524. https://sci-hub.st/10.1007/978-94-017-3368-7_35
Lester, J. F. K. (1978). Mathematical Problem Solving In The Elementary School: Some Educational And Psychological Considerations. In D. A. Hatfield, Larry L., Bradbard (Ed.), Mathematical Problem Solving. ERIC Center for Science, Mathematics and Environmental Education.
Maciejewski, W. (2018). Future oriented Thinking and Activity in Mathematical Problem Solving. Mathematical Problem Solving Current Themes, Trends, and Research, ICME-13 Monographs, 21–38.
Malin, J. T. (1979). Strategies in Mathematical Problem Solving. The Journal of Educational Research, 73(2), 101–108. https://doi.org/10.1080/00220671.1979.10885216
Matlin, M. (2013). Cognition 8th Ed. John Wiley & Sons, Inc.
Curriculum Framework for Primary and Secondary Education 2015-2022, 1 (2015).
NCTM. (2000). Principles and Standards for School Mathematics (Issue 1961). NCTM.
Olugbade, T. A., Newbold, J., Johnson, R., Volta, E., Alborno, P., Niewiadomski, R., Dillon, M., Volpe, G., & Bianchi-Berthouze, N. (2022). Automatic Detection of Reflective Thinking in Mathematical Problem Solving Based on Unconstrained Bodily Exploration. IEEE Transactions on Affective Computing, 13(2), 944–957. https://doi.org/10.1109/TAFFC.2020.2978069
Piñeiro, J. L., Castro-Rodríguez, E., & Castro, E. (2022). What problem-solving knowledge is required in mathematical teaching? A curricular approach. Curriculum Perspectives, 42(1), 1–12. https://doi.org/10.1007/s41297-021-00152-6
Robertson, S. I. (2017). Problem Solving Perspective from Cognition and Neuroscience. Routledge.
Schoenfeld, A. H. (1982). Expert and Novice Mathematical Problem Solving. Journal for Research in Mathematics Education, 13(1), 31–49. https://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.879.4394&rep=rep1&type=pdf#page=81
Schukajlow, S., Blomberg, J., Rellensmann, J., & Leopold, C. (2022). The role of strategy-based motivation in mathematical problem solving: The case of learner-generated drawings. Learning and Instruction, 80, 101561. https://doi.org/10.1016/j.learninstruc.2021.101561
Sherman, J. A., & Fennema, E. (1978). Distribution of Spatial Visualization and Mathematical Problem Solving Scores: A Test of Stafford’s X-linked Hypotheses. Psychology of Women Quarterly, 3(2), 157–167. https://doi.org/10.1111/j.1471-6402.1978.tb00531.x
Silver, E. A. (1994). On Mathematical Problem Posing. On Mathematical Problem Posing, 14(1), 19–28. https://flm-journal.org/Articles/2A5D152778141F58C1966ED8673C15.pdf
Zhang, L., Cai, J., Song, N., Zhang, H., Chen, T., Zhang, Z., & Guo, F. (2022). Mathematical problem posing of elementary school students: the impact of task format and its relationship to problem solving. ZDM – Mathematics Education, 54(3), 497–512. https://doi.org/10.1007/s11858-021-01324-4
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2022 INTERNATIONAL CONFERENCE OF HUMANITIES AND SOCIAL SCIENCE (ICHSS)

This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.












