Beyond Memorization: Building Problem-Solving Skills in Sequences for Future Math Teachers
DOI:
https://doi.org/10.55927/eajmr.v3i9.9437Keywords:
Problem-Solving Skills, Difficulties, Mathematical SequencesAbstract
This study looks into how future math teachers solve problems when dealing with sequences. Data show a worrying trend: none of the respondents received a very high score, and more than 60% received a low grade. The biggest obstacle turned out to be harmonic sequences, indicating a critical knowledge gap. Even simple sequences, such as arithmetic sequences, could be challenging, especially when phrased issues and non-consecutive phrases were included. It's interesting to note that students started using online tools like YouTube lessons as part of a self-help movement. This, however, draws attention to a possible over-reliance on outside sources. The study highlights how crucial it is to reinforce fundamental information across a range of sequence types. Future math teachers can approach and solve sequence issues with more confidence if they have a solid grasp of the fundamentals and have conducted purposeful web research. This will ultimately result in more effective teaching methods.
References
Aisy, N. M. R., Mulyono, & Walid. (2022, November 30). Analysis of students' difficulties in mathematics problem-solving ability on number pattern material. Jurnal Pijar Mipa, 17(6), 706–711. Https://doi.org/10.29303/jpm.v17i6.4149
Agustiani, N. (2021). Analyzing Students’ Errors in Solving Sequence and Series Application Problems Using Newman Procedure. International Journal on Emerging Mathematics Education, 5(1), 23. Https://doi.org/10.12928/ijeme.v5i1.17377
Albay, E. M. (2020). Towards a 21st Century Mathematics Classroom: Investigating the Effects of the Problem-Solving Approach Among Tertiary Education Students. In Asia-Pacific Social Science Review (Vol. 20, Issue 2, pp. 69–86). https://tinyurl.com/55a7wn3e
Almerino, P., Guinocor, M., Mamites, I., Lumayag, C., Villaganas, M. A., & Capuyan, M. (2020). Mathematics Performance of Students in a Philippine State University. International Electronic Journal of Mathematics Education, 15(3). https://doi.org/10.29333/iejme/7859
Cabugwason, M. R., Laoreno, B. G., Galoy, R. M. P., Valila, A. J., & Nobis, M. L. (2024). Math apps in math education: experiences and challenges of pre-service teachers. In Ignatian International Journal for Multidisciplinary Research (Vols. 5–5). https://doi.org/10.5281/zenodo.11235604
Deo, S. (2022, November 8). A Study on Effectiveness of Learning through Apps and Classroom among Higher Secondary School Students in Chennai District. Journal of Advanced Research in English and Education, 7(2), 8–10. https://doi.org/10.24321/2456.4370.202208
Enriquez, E., Kilag, O., Llurag, S., Villanueva, K., Samutya, M., Rabi, J. III, (2024). Enhancing Problem-Solving Skills in Mathematics Education: A Study on Realistic Mathematics Education. International Multidisciplinary Journal of Research for Innovation, Sustainability, and Excellence (IMJRISE). https://risejournals.org/index.php/imjrise/article/view/258
Guzman Gurat, M. (2018). Mathematical problem-solving strategies among student teachers. In Journal on Efficiency and Responsibility in Education and Science (Vol. 11, Issue 3, pp. 53–64). https://doi.org/10.7160/eriesj.2018.110302
Hamzah, A. M. (2023, November 24). Trends in International Mathematics and Science Study (TIMSS) as A Measurement for Student Mathematics Assessment Development. 12 Waiheru, 9(2), 189–196. Https://doi.org/10.47655/12waiheru.v9i2.144
Lee, K., Sun, K., & Wang, H. (2024, January 6). On intermediate Lie algebra $$E_{7+1/2}$$. Letters in Mathematical Physics, 114(1). Https://doi.org/10.1007/s11005-023-01762-z
Lusica M. Effectiveness of an enhanced DepEd module in improving the achievement of Grade 7 students in motion problems. Unpublished master’s thesis, University of Southeastern Philippines, Davao City; 2015.
Maysaroh, E., & Sutarni, S. (2023, August 30). Improving Students’ Ability to Solve HOTS-Based Mathematics Problems with Problem-Solving Theory from Polya. VYGOTSKY, 5(2), 91. Https://doi.org/10.30736/voj.v5i2.738
Msw, S. D. M. (2022, November 1). 5 Effective Problem-Solving Strategies. Psych Central. https://psychcentral.com/health/problem-solving-strategies
Nicharee Sangsamak et al. (2023, April 7). Development of mathematical problem-solving skills on the topic of prisms and cylinders using the sscs model with a think-pair-share technique for eighth-grade students. Russian Law Journal, 11(9s). Https://doi.org/10.52783/rlj.v11i9s.1645
Nobis, M. J., & Caparroso, C. L. (2024). Bridging the gap: Examining parental involvement strategies and their impact on homework completion rates in mathematics. journal.ibrahimy.ac.id. https://doi.org/10.35316/alifmatika.2024.v6i1.1-13
Nobis, M. (2021). Digital Literacy of Mathematics Teachers in State Universities and Colleges (sucs). Asian Journal Of Research In Education And Social Sciences, 3(2), 99-113. Retrieved from https://myjms.mohe.gov.my/index.php/ajress/article/view/14083
Nobis, M L. (2023). Navigating assessment in the digital realm: experiences of educators in a distance learning environment. Zenodo. Https://doi.org/10.5281/zenodo.10209801
OECD (2013), PISA 2015: Draft Collaborative Problem Solving Framework, OECD, Paris, https://tinyurl.com/y76h2wnu
Olsson, J., & Granberg, C. (2022, July 31). Teacher-student interaction supports students’ creative mathematical reasoning during problem-solving using Scratch. Mathematical Thinking and Learning, 1–28. Https://doi.org/10.1080/10986065.2022.2105567
Pebrianti, A., Prabawanto, S., & Nurlaelah, E. (2023, July 31). How do students solve reversible thinking problems in mathematics? Jurnal Elemen, 9(2), 630–643. Https://doi.org/10.29408/jel.v9i2.17821
Rachma, A. A., & Rosjanuardi, R. (2021). Students’ Obstacles in Learning Sequence and Series Using Onto-Semiotic Approach. Jurnal Pendidikan Matematika /Jurnal Pendidikan Matematika, 15(2), 115–132. https://doi.org/10.22342/jpm.15.2.13519.115-132
Santos-Trigo, M. (2024, April 30). Problem-solving in mathematics education: tracing its foundations and current research-practice trends. ZDM – Mathematics Education. Https://doi.org/10.1007/s11858-024-01578-8
Savinova, A. D. (2023). Wallas’s stages of problem-solving. Научно-Образовательный Портал “Большая Российская Энциклопедия,” 2. Https://doi.org/10.54972/00000001_2023_2_74
Spangenberg, E. D., & Pithmajor, A. K. (2020). Grade 9 Mathematics Learners’ Strategies in Solving Number-Pattern Problems. In EURASIA Journal of Mathematics, Science and Technology Education (Vol. 16, Issue 7, p. em1862). Modestum LTD. https://doi.org/10.29333/ejmste/8252
Sulistiowati, D. L., Herman, T., & Jupri, A. (2019). Student difficulties in solving geometry problems based on Van Hiele thinking level. Journal of Physics. Conference Series, 1157, 042118. https://doi.org/10.1088/1742-6596/1157/4/042118
Szabo, A., Tillnert, A. S., & Mattsson, J. (2024, February 1). Displaying gifted students’ mathematical reasoning during problem-solving: Challenges and possibilities. The Mathematics Enthusiast, 21(1–2), 179–202. Https://doi.org/10.54870/1551-3440.1623
Teglasi, H., Caputo, M. H., & Scott, A. L. (2022, January). Explicit and implicit theory of mind and social competence: A social information processing framework. New Ideas in Psychology, 64, 100915. Https://doi.org/10.1016/j.newideapsych.2021.100915
Ütkür Güllühan, N. (2021, March 2). Social Problem-Solving Activities in The Life Skills Course: Do Primary School Students Have Difficulty Solving Daily Life Problems? TED EĞİTİM VE BİLİM. Https://doi.org/10.15390/eb.2021.9396
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Copyright (c) 2024 Notarte Michelle Joy M., Aguilando Lea Rose, Larazi Nathaniel D., Nobis Martin Jr., L., Acebron Apple Erika B
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