Effective Teaching Strategies For Mastery Of Basic Mathematical Operations
Main Article Content
Abstract
Proficiency in elementary arithmetic operations such as addition, subtraction, multiplication, and division is the cornerstone of mathematical reasoning and problem-solving skills. Inability to learn these concepts persistently can result in academic problems in the long run. This paper offers a theoretical framework for teaching arithmetic concepts based on mathematical principles. Definitions, algebraic properties, decomposition techniques, theorem-based reasoning, and competency modeling are discussed. A learning vector and contraction mapping model are proposed to capture student proficiency in arithmetic operations. By providing rigorous proofs, examples, and teaching comments, this paper illustrates that concept-based learning can greatly improve computational proficiency and transferability. This theoretical framework combines mathematical rigor with teaching, providing a platform for future development and testing.
Article Details
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
References
Algebraic, B. A. O. I. (2023). The effectiveness of the GeoGebra-Assisted Inquiry-Discovery learning strategy on students’ mastery and interest in algebraic expressions. International Journal of Information and Education Technology, 13(11).
El-Adl, A., &Alkharusi, H. (2020). Relationships between self-regulated learning strategies, learning motivation and mathematics achievement. Cypriot Journal of Educational Sciences, 15(1), 104-111.
Fouze, A. Q., & Amit, M. (2017). Development of mathematical thinking through integration of ethnomathematic folklore game in math instruction. Eurasia Journal of Mathematics, Science and Technology Education, 14(2), 617-630.
Irfan, M., Kusumaningrum, B., Yulia, Y., & Widodo, S. A. (2020). Challenges during the pandemic: use of e-learning in mathematics learning in higher education. Infinity Journal, 9(2), 147-158.
Irshad, M. (2024). Enhancing mathematical literacy in school students: Strategies for effective instruction in basic math concepts. Scholars Journal of Physics Mathematics and Statistics, 11(1), 1-5.
Lin, Y. W., Tseng, C. L., & Chiang, P. J. (2016). The effect of blended learning in mathematics course. Eurasia Journal of Mathematics, Science and Technology Education, 13(3), 741-770.
Manalaysay, J. (2021). Continuous Drill in Mathematics: A Spark for Mastery of Fundamental Operations. International Journal of Academic Pedagogical Research (IJAPR) ISSN, 2643-9123.
Riccomini, P. J., Smith, G. W., Hughes, E. M., & Fries, K. M. (2015). The language of mathematics: The importance of teaching and learning mathematical vocabulary. Reading & Writing Quarterly, 31(3), 235-252.
Scherer, P., Beswick, K., DeBlois, L., Healy, L., & Moser Opitz, E. (2017, November). Assistance of students with mathematical learning difficulties—how can research support practice?—A summary. In Proceedings of the 13th International Congress on Mathematical Education: ICME-13 (pp. 249-259). Cham: Springer International Publishing.
Serin, H. (2023). Teaching mathematics: Strategies for improved mathematical performance. International Journal of Social Sciences & Educational Studies, 10(3), 146-150.
Setiana, D. S., Purwoko, R. Y., &Sugiman, S. (2021). The application of mathematics learning model to stimulate mathematical critical thinking skills of senior high school students. European Journal of Educational Research, 10(1), 509-523.
Sinay, E., &Nahornick, A. (2016). Teaching and learning mathematics research series I: Effective instructional strategies.
Verschaffel, L., & De Corte, E. (2016). Word problems: A vehicle for promoting authentic mathematical understanding and problem solving in the primary school?. Learning and teaching mathematics, 69-97.
Widodo, S. A. (2018). Selection of Learning Media Mathematics for Junior School Students. Turkish Online Journal of Educational Technology-TOJET, 17(1), 154-160.
Zaw, Y. Z., & Lwin, K. K. (2020). The effect of mastery learning strategy on students’ mathematics achievement at the middle school level. J Myanmar Acad Arts Sci, 2020, 308-19.