INTEGRATED TEACHING OF MATHEMATICS ON THE TOPIC OF FINDING MAXIMUM AND MINIMUM VALUES USING DERIVATIVES | Hoa | TNU Journal of Science and Technology

INTEGRATED TEACHING OF MATHEMATICS ON THE TOPIC OF FINDING MAXIMUM AND MINIMUM VALUES USING DERIVATIVES

About this article

Received: 15/08/25                Revised: 27/10/25                Published: 27/10/25

Authors

1. Dao Thi Hoa Email to author, Hanoi Pedagogical University 2
2. Ngo Thi Tu Quyen, TNU - University of Education

Abstract


In the context of implementing general education reforms, mathematics, as a fundamental and instrumental subject, provides numerous opportunities for applying integrated teaching approaches. This article provides a systematic overview of key theoretical issues related to integrated teaching in mathematics, including its concept, forms, factors influencing effectiveness, and its specific application in high school mathematics education. Based on this foundation, the paper proposes two specific measures for implementing integrated teaching in mathematics through the topic of Finding maximum and minimum values using derivatives. Measure 1 involves designing integrated teaching situations aimed at knowledge formation, corresponding to the first stage of the integrated teaching process - the knowledge formation stage. Measure 2 focuses on developing integrated exercises, corresponding to the second stage - practice and application of knowledge. These measures are intended to effectively assist teachers in organizing integrated teaching activities in mathematics, thereby enhancing students’ ability to make connections across disciplines and apply mathematical knowledge to practical problem-solving.

Keywords


Teaching; Integration; Maximum values; Minimum values; Derivative

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References


[1] K. B. Nguyen, Methods of teaching mathematics. Vietnam National University of Education Publishing House, Hanoi, 2015.

[2] R. W. Brown and E. C. Wall, “A look at the integration of science and mathematics in the elementary school – 1976,” School Science and Mathematics, vol. 76, no. 7, pp. 551–562, 1976.

[3] D. F. Berlin and A. L. White, “The Berlin–White Integrated Science and Mathematics Model,” School Science and Mathematics, vol. 94, no. 1, pp. 2–4, 1994.

[4] M. F. Joseph and D. D. K. David, “The mathematics and science integration argument: A stand for teacher education,” Eurasia Journal of Mathematics, Science & Technology Education, vol. 3, no. 3, pp. 185–189, 2007.

[5] T. Dahlan, L. Judijanto, and F. Hali, “Improving the quality of mathematics teacher education: An integrated approach to the 4C skills,” Journal of Research and Advances in Mathematics Education, vol. 9, no. 1, pp. 16–31, Jan. 2024, doi: 10.23917/jramathedu.v9i1.2687.

[6] A. Attard, S. Herbert, J. Matthews, and N. L. Mills, “Teaching the incidental mathematics: How integrated tasks with digital technologies unlocked mathematics concepts in primary school classrooms,” Mathematics Education Research Journal, vol. 37, no. 2, pp. 145-162, May 2025.

[7] Ministry of Education and Training, Training materials on integrated teaching in general education. Vietnam National University of Education Publishing House, Hanoi, 2017.

[8] G. N. Nguyen, “Integrating mathematics and economics with the support of GeoGebra software in teaching the system of first-order inequalities with two unknowns at the high school level,” HNUE Journal of Science, vol. 69, no. 5B, pp. 191–200, Dec. 2024.

[9] C. S. Trinh, K. T. H. Trinh, and T. H. C. Pham, “Current situation of designing and using integrated teaching situations in mathematics by primary teachers in Nghe An province,” Vinh University Journal of Science, no. 1B, pp. 90–99, 2020.

[10] T. D. Do and D. T. Do, “Integrated teaching in mathematics at general education level,” Journal of Educational Sciences, no. 129, pp. 15–19, 2016.

[11] Institute of Linguistics, Vietnamese Dictionary. Da Nang Publishing House, 2003.

[12] United Nations Educational, Scientific and Cultural Organization, New trends in integrated science teaching: The teaching of basic sciences, vol. 5. Mayenne, France: Imprimerie de la Manutention, 1979.

[13] Ministry of Education and Training, General education program; Mathematics curriculum, 2018.

[14] E. D. V. Vo, “Integration in subject teaching in general education,” in Proceedings of the Conference on Integrated Teaching. Ho Chi Minh City University of Education, 2014, pp. 19-25.

[15] T. H. Do, B. V. Nguyen, N. K. Tran, N. T. Tran, T. T. T. Tran, K. C. Nguyen, and H. B. N. Vu, Integrated teaching to develop students’ competencies, vol. 1. Vietnam National University of Education Publishing House, Hanoi, 2015.

[16] P. George and W. Alexander, The exemplary middle school. Belmont, CA: Wadsworth/Thompson Learning, 2003.

[17] D. N. Tran et al., Mathematics 12. Vietnam Education Publishing House, 2024.

[18] T. D. Do et al., Mathematics 12. Vietnam Educational Equipment Publishing House, 2024.

[19] K. H. Ha et al., Mathematics 12. Vietnam Education Publishing House, 2024.

[20] C. H. T. Le et al., Mathematics 12. Hue University Publishing House, 2024.

[21] T. D. Thai, Traditional and innovative teaching methods. Vietnam Education Publishing House, 2008.




DOI: https://doi.org/10.34238/tnu-jst.13419

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