REPRESENTING THE SOLUTION SET OF THE SYSTEM OF TWO VARIABLES LINEAR EQUATIONS BY USING GEOGEBRA SOFTWARE FOR DEVELOPING STUDENTS’ COMPETENCE TO USE MATHEMATICS TOOLS AND MEANS

REPRESENTING THE SOLUTION SET OF THE SYSTEM OF TWO VARIABLES LINEAR EQUATIONS BY USING GEOGEBRA SOFTWARE FOR DEVELOPING STUDENTS’ COMPETENCE TO USE MATHEMATICS TOOLS AND MEANS

Pham Huyen Trang* phamhuyentrang@hpu2.edu.vn Hanoi Pedagogical University 2 32 Nguyen Van Linh, Xuan Hoa, Phuc Yen city, Vinh Phuc province, Vietnam
Nguyen Ngoc Giang giangnn@hub.edu.vn Ho Chi Minh University of Banking 36 Ton That Dam, District 1, Ho Chi Minh City, Vietnam
Mai Vu Linh Dan linhdan1775@gmail.com Duong Van Thi High School 161 La Xuan Oai, Tang Nhon Phu A, District 9, Thu Duc city, Ho Chi Minh City, Vietnam
Summary: 
Nowadays, with the strong transformation of all sectors from the economy to the sciences, society, education has undergone significant changes. Instead of teaching theoretical knowledge as in the past, current teaching focuses on developing students’ competence and qualities. According to the 2018 Mathematics curriculum for high school students, the use of learning tools and means is one of the five components in mathematical competence that needs to be developed for students. At the high school level, representing the solution set of a system of two-variable linear inequalities is emphasized. It reflects the potential development of the competence to use mathematics learning tools and aids (such as GeoGebra software). In this article, we present viewpoints on it, as well as its indicators, teaching process and training (using GeoGebra software) through teaching the representation of the solution set of a system of two-variable linear inequalities, as well as providing illustrative examples.
Keywords: 
The competence to use mathematics tools and means
GeoGebra software
solution set of the system of two-variable linear equations
representation of solution sets.
Refers: 

[1] PISA 2021 Mathematics Framework (Second draft) For Official Use, (2021), Retrieved from https://www. oecd.org/pisa/pisaproducts/pisa-2021-mathematicsframework-draft.pdf

[2] Bộ Giáo dục và Đào tạo, (2018), Chương trình Giáo dục phổ thông môn Toán.

[3] Awgichew Zergaw Bahir, G., Abera Wassie, Y., & Awgichew Zergaw, G, (2020), Capabilities and Contributions of the Dynamic Math Software, GeoGebra-a Review, Capabilities and Contributions of the Dynamic Math Software, GeoGebra-a Review Article in North American Journal of Psychology, 7(1), https://www.geogebra.org

[4] Hohenwarter, M., Hohenwarter, J., Kreis, Y., & Lavicza, Z, (2008), Teaching and calculus with free dynamic mathematics software GeoGebra, Retrieved from https://www.researchgate.net/publication/228869636_ Teaching_and_Learning_Calculus_with_Free_ Dynamic_Mathematics_Software_GeoGebra.

[5] Nguyễn Ngọc Giang - Bùi Thị Khánh Linh, (2021), Discovery Teaching about Plane Geometric Extreme Problems with the Help of Geogebra Software at Secondary School in Vietnam, Universal Journal of Educational Research, 9(6), 1340–1352, https://doi. org/10.13189/ujer.2021.090624

[6] Vũ Thị Phương, (2021), Sử dụng GeoGebra để củng cố lí thuyết hình học, Ho Chi Minh city University of Education Journal of Science, 18(5), 817–826.

[7] Kounlaxay, K., Shim, Y., Kang, S. J., Kwak, H. Y., & Kim, S. K, (2021), Learning media on mathematical education based on augmented reality, KSII Transactions on Internet and Information Systems, 15(3), 1015–1029, https://doi.org/10.3837/tiis.2021.03.011.

[8] Wassie, Y. A - Zergaw, G. A, (2019), Some of the potential affordances, challenges and limitations of using GeoGebra in mathematics education, Eurasia Journal of Mathematics, Science and Technology Education, 15(8), https://doi.org/10.29333/ejmste/108436.

[9] Lương Việt Hưng, (2018), Dạy học toán theo định hướng phát triển tư duy đồ thị dưới sự hỗ trợ của phần mềm GeoGebra, Journal of Science, 15(10), 159–168, http://tckh.hcmue.edu.vn.

[10] Nguyễn Thị Hường - Lê Tuấn Anh, (2018), Khai thác phần mềm GeoGebra trong một số tình huống dạy học môn Toán lớp 9, Tạp chí Giáo dục, số 114, 163–167.

[11] Trần Việt Cường, Nguyễn Ngọc Trang, Nguyễn Phúc Binh, (2014), Tổ chức dạy học theo dự án trong dạy học môn Toán cho học sinh Trung học phổ thông, Tạp chí Giáo dục, số 325, kì 1-1/2014, tr. 44-46, 53.

[12] Phạm Thị Hồng Hạnh, Đinh Mai Phương, Nguyễn Thu Phương, Nguyễn Đình Việt, (2023), Một số biện pháp xây dựng bài toán kinh tế trong dạy học chủ đề “Hệ bất phương trình bậc nhất hai ẩn” (Toán 10), Tạp chí Giáo dục, 23(6), 7-12.

[13] Jankvist, U. T., & Misfeldt, M, (2018), The KOM framework’s aids and tools competency in relation to digital technologies-a networking of theories perspective, Retrieced from https://www.researchgate. net/publication/330501168.

[14] Niss, M, (2002), Mathematical Competencies and the Learning of Mathematics: The Danish Kom Project.

Articles in Issue