DEVELOPING A SYSTEM OF PRACTICAL EXERCISES TO ENHANCE MATHEMATICAL PROBLEM-SOLVING COMPETENCIES FOR FIFTH-GRADE STUDENTS THROUGH REALISTIC MATHEMATICS EDUCATION
DOI:
https://doi.org/10.18173/2354-1075.2024-0073Keywords:
a system of practical exercises, problem-solving competencies, RMEAbstract
This paper develops a system of practical exercises to enhance the mathematical problem-solving competencies of fifth-grade students using Realistic Mathematics Education. The novelty of this study lies in creating tasks grounded in meaningful contexts, aimed at fostering mathematization and deeper conceptual understanding. Unlike traditional exercises, these tasks engage students in applying mathematics to situations relevant to their experiences. Additionally, the paper provides a framework for designing similar tasks, contributing valuable resources for elementary mathematics education under the RME framework.
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References
[1] Van den Heuvel-Panhuizen M & Drijvers P, (2020). Realistic mathematics education. Encyclopedia of mathematics education, 713-717.
[2] Freudenthal H, (1991). Revisiting mathematics education. China lectures. Kluwer, Dordrecht.
[3] Nguyen TT & Phan TT, (2020). Realistic Mathematics Education: Theory research and some suggestions for Vietnam mathematics education curriculum development reform. HNUE Journal of Science, 65(4), 130-145, DOI: 10.18173/2354-1075.2019-0064 (in Vietnamese).
[4] Papadakis S, Kalogiannakis M & Zaranis N, (2017). Improving mathematics teaching in kindergarten with Realistic Mathematical Education. Early Childhood Education Journal, 45(3), 369-378. https://link.springer.com/article/10.1007/s10643-015-0768- 4#citeas.
[5] Tran C & Nguyen TD, (2018). Exploring Realistic Mathematics Education connected to practical applications and applying it to develop practical exercises in teaching Mathematics. Vietnam Journal of Education, (Special Issue Period 2 - May/2018), 165-169 (in Vietnamese).
[6] Le TT, Pham AG & Nguyen TT, (2021). Applying the theory of Realistic Mathematics Education (RME) in teaching - Some challenges, principles, and recommendations. Vietnam Journal of Education, (494) (Period 2 - 1/2021), 37-43 (in Vietnamese).
[7] Le TA & Tran C, (2020). Approaching and proposing some measures for applying RME theory in teaching and learning mathematics in Vietnam. HNUE Journal of Science, 65(7), 162-173 (in Vietnamese).
[8] Nguyen THD & Nguyen PL, (2021). Some fundamental methodological issues relating to teaching the multiplication of two natural numbers to primary students. HNUE Journal of Science, 66(4), 184-196 (in Vietnamese).
[9] National Council of Teachers of Mathematics (NCTM), (2000). Principles and Standards for School Mathematics. Reston, Virginia: NCTM.
[10] Eviyanti CY, Surya E, Syahputra E & Simbolon M, (2017). Improving the students’ mathematical problem-solving ability by applying a problem-based learning model in VII grade at SMPN 1 Banda Aceh Indonesia. International Journal of Novel Research in Education and Learning, 4(2), 138-144.
[11] Ho TMP, (2021a). The problem-solving competence on linear equations of 10th-grade students. Hue University Journal of Science: Social Sciences and Humanities, 130(6B), 107-122 (in Vietnamese).
[12] Ministry of Education and Training, (2018b). General education curriculum in Mathematics. Vietnam Education Publishing House (in Vietnamese).
[13] Ha XT, Pham SN, (2014). Designing exercises containing real-life situations in teaching mathematics in high schools. Vietnam Journal of Educational Sciences, 111, 11-12, 33 (in Vietnamese).
[14] Jazuli A, Setyosari P, Sulthon Kuswandi, D, (2017). Improving conceptual understanding and problem-solving in mathematics through a contextual learning strategy. Global Journal of Engineering Education, 19(1), 49-53.
[15] Ahdhianto E, & Santi NN, (2020). The effect of metacognitive-based contextual learning model on fifth-grade students' problem-solving and mathematical communication skills. European Journal of Educational Research, 9 (2), 753-764.
[16] Pham THC, (2021). Designing practical situations with real contexts in teaching mathematics in primary schools. Vietnam Journal of Education, 40, 30-35 (in Vietnamese).
[17] Van den Heuvel-Panhuizen M & Drijvers P, (2014). Realistic mathematics education: Recontextualization in mathematics education. Research in Mathematics Education, 10 (1007), 521-534. https://doi.org/10.1007/s13394-014-0104-0.
[18] OECD, (2003). The PISA 2003 assessment framework: Mathematics, reading, science, and problem-solving problem-solving knowledge and skills. OECD Publishing.
[19] Krulik S & Rudnick JA, (1987). Problem-solving: A handbook for teachers. Allyn and Bacon.
[20] Nguyen TLP, (2014). Proposing a structure and output standards for assessing problem-solving competence in new secondary schools. Vietnam Journal of Education, 111, 3-6 (in Vietnamese).
[21] Hoang P, Bui KV, Chu BT, Dao T, Hoang T, Hoang VH, Le KC, Nguyen MC, Nguyen NT, Nguyen TN, Nguyen, TK, Nguyen VK, Pham HV, Tran CV, Tran NP, Vu NB & Vuong L, (1988). Vietnamese Dictionary, Social Sciences Publishing House (in Vietnamese).
[22] Hornby AS, (2005). Oxford Advanced Learner’s Dictionary. Oxford University Press.
[23] Nguyen TMH, Vu VQ, & Le VT, (2021). Designing practical problems in teaching mathematics for upper secondary school classes. Vinh University Journal of Science, 50(1B), 36-46 (in Vietnamese).
[24] Gravemeijer K & Doorman M, (1999). Context problems in realistic mathematics education: A calculus course as an example. Educational Studies in Mathematics, 39(1), 111-129. https://doi.org/10.1023/A:1003622015264.
[25] Van den Heuvel-Panhuizen M, (2005). The role of contexts in assessment problems in mathematics. For the Learning of Mathematics, 25(2), 2-9, 23.