SOME INSTRUCTIONAL MEASURES FOR TEACHING GEOMETRY BASED ON REALISTIC MATHEMATICS EDUCATION IN HIGH SCHOOLS
DOI:
https://doi.org/10.18173/2354-1075.2025-0116Keywords:
Realistic mathematics education, learning situation, Geometry, high schoolAbstract
Realistic Mathematics Education (RME) is a domain-specific instructional theory that has profoundly influenced mathematics education worldwide, significantly contributing to the innovation of teaching methods in various countries. In the context of the recent comprehensive educational renovation in Vietnam, RME has garnered the attention of numerous mathematics educators for research and implementation. This paper studies the principles of RME, particularly the use of contexts and the use of models. Based on these principles, the article proposes three instructional measures for teaching geometry in high schools based on RME principles, aiming to enhance the effectiveness of mathematics instruction and develop students' mathematical abilities.
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[1] Furinghetti F & Menghini M, (2023). The Royaumont Seminar as a booster of communication and internationalization in the world of mathematics education. In “Modern Mathematics: An International Movement?”, p. 55-78, Springer.
[2] Bjarnadóttir K, (2014). History of teaching arithmetic. In “Handbook on the History of Mathematics Education”. https://doi.org/10.1007/978-1-4614-9155-2_21.
[3] Treffers A, (1987). Three dimensions: A model of goal and theory description in mathematics instruction. SpringerBriefs in Applied Sciences and Technology, (9783319059563).
[4] Smid HJ, (2020). Dutch Mathematicians and Mathematics Education - A Problematic Relationship. In “National Reflections on the Netherlands Didactics of Mathematics: Teaching and Learning in the Context of Realistic Mathematics Education”, p. 63-75.
[5] Van den Heuvel Panhuizen M, (2010). Reform under attack - forty years of working on better mathematics education thrown on the scrapheap? No way! Annual meeting of the Mathematics Education Research Group of Australasia, 33rd, Fremantle, Western Australia, Jul 3-7.
[6] Treffers A, (1993). Wiskobas and Freudenthal realistic mathematics education. Educational Studies in Mathematics, 25(1), 89-108.
[7] Van den Heuvel Panhuizen M & van Zanten MA, (2020). Realistic Mathematics Education: A brief history of a longstanding reform movement. Mediterranean Journal for Research in Mathematics Education, 17, 65-73.
[8] Phan TT, Do TT, Trinh TH, Tran T, Duong HT, Trinh TPT, Do BC & Nguyen TT, (2022). A Bibliometric Review on Realistic Mathematics Education in Scopus Database Between 1972-2019. European Journal of Educational Research, 11(2), 1133-1149. https://doi.org/10.12973/eu-jer.11.2.1133.
[9] Gravemeijer K, (1994). Developing realistic mathematics education. Faculty of Sciences, Freudenthal Institute.
[10] Nguyen TT, (2005). Learning to teach realistic mathematics in Vietnam. Amsterdam: Universiteit van Amsterdam.
[11] Le TA, (2006). Applying Realistic Mathematics Education in Vietnam: Teaching middle school geometry, Univesitat Postdam.
[12] Nguyen TT, Trinh TPT, Ngo HTV, Hoang NA, Tran T, Pham HH & Bui VN, (2020). Realistic mathematics education in Vietnam: Recent policies and practices. International Journal of Education and Practice, 8(1). https://doi.org/10.18488/journal.61.2020.81.57.71.
[13] Nguyen TT & Phan TT, (2020). Realistic Mathematics Education: Theory research and some suggestion for Vietnam mathematics education curriculum development reform. Journal of Science Educational Science, 65(4). https://doi.org/10.18173/2354-1075.2019-0064.
[14] LT Anh & T Cường, (2020). Bàn về tiếp cận và một số biện pháp vận dụng lí thuyết RME trong dạy học môn Toán ở Việt Nam. HNUE Journal of Science, 65(7), 162-1973.
[15] Nguyen PL & Ngo TTT, (2020). Approach to realistic mathematics education in teaching mathematics: A case of cosine theorem – Geometry 10. International Journal of Scientific and Technology Research, 9(4).
[16] Duong HT, Nguyen TT, Bui PU, Lu KN, Lam TK & Phan TT, (2022). Realistic Mathematics Education’s Effect on Students’ Performance and Attitudes: A Case of Ellipse Topics Learning. European Journal of Educational Research, 11(1). https://doi.org/10.12973/eu-jer.11.1.403.
[17] Nguyen TD, (2022). Designing a teaching model based on the Realistic Mathematics Education (RME) approach and its application in teaching calculus. Journal of Mathematics and Science Teacher, 2(1). https://doi.org/10.29333/mathsciteacher/11918.
[18] Nguyen TD, (2023a). Realistic mathematics education and authentic learning: A combination of teaching mathematics in high schools. Journal of Mathematics and Science Teacher, 3(1). https://doi.org/10.29333/mathsciteacher/13061.
[19] Freudenthal H, (1972a). Mathematics as an Educational Task. Reidel Publishing Company, Dordrecht, Holland. https://doi.org/10.1007/978-94-010-2903-2.
[20] Zulkardi, (2002). Developing a learning environment on Realistic Mathematics Education for Indonesian student teachers. Doctoral dissertation, University of Twente, Enschede.
[21] Van den Heuvel-Panhuizen, M. (1998). Realistic Mathematics Education: Work in progress. In “Theory into Practice in Mathematics Education”, Eds (Breiteig T & Brekke G). Kristiansand, Norway: Faculty of Mathematics and Sciences.
[22] Zolkower B, Bressan AM, Pérez S & Gallego MF, (2020). From the bottom up—Reinventing realistic mathematics education in Southern Argentina. In “International Reflections on the Netherlands Didactics of Mathematics”, 13, p. 133-166. DOI:10.1007/978-3-030-20223-1_9.
[23] Freudenthal H, (1972b). Mathematics as an Educational Task. Mathematics as an Educational Task. https://doi.org/10.1007/978-94-010-2903-2.
[24] Gravemeijer K, (2002). Emergent modeling as the basis for an instructional sequence on data analysis. Developing a Statistically Literate Society. Proceedings of the International Conference on Teaching Statistics [CD-ROM].
[25] Gravemeijer K, (1999). How emergent models may foster the constitution of formal mathematics. Mathematical Thinking and Learning, 1(2), p. 155-177.
[26] Gravemeijer K, Cobb P, Bowers J & Whitenack J, (2012). Symbolizing, modeling, and instructional design. In “Communicating and symbolizing in mathematics classrooms: Perspectives on discourse, tools, and instructional design”, Eds (Cobb P, Yackel E & McClain K), Mahwah, NJ: Erlbaum.
[27] Freudenthal H, (1991). Revisiting mathematics education: China lectures, 9. Springer Science & Business Media.
[28] Freudenthal H, (1983). Didactical phenomenology of mathematical structures, 1. Springer Science & Business Media.
[29] Gravemeijer K & Terwel J, (2000). Hans Freudenthal: a mathematician on didactics and curriculum theory. Journal of Curriculum Studies, 32(6), 777-796.
[30] ĐĐ Thái (Tổng Chủ biên kiêm Chủ biên), (2023). Toán 11 (Tập 2) bộ sách Cánh Diều, NXB Đại học Sư phạm.
[31] TN Dũng (Tổng Chủ biên), TĐ Huyên & NT Anh (Chủ biên), (2023). Toán 11 (Tập 2) bộ sách Chân trời sáng tạo, NXB Giáo dục Việt Nam.
[32] LTH Châu (Tổng chủ biên) & TA Dũng (Chủ biên), (2023). Toán 11 (Tập 2) bộ sách Cùng khám phá, NXB Đại học Huế.
[33] HH Khoái (Tổng chủ biên), CT Anh, TV Tấn & ĐH Thắng (đồng chủ biên), (2023). Toán 11 (Tập 2) bộ sách Kết nối tri thức với cuộc sống, NXB Giáo dục Việt Nam.



