Learning Obstacles of Junior High School Students on the Concept of Triangle

Abstract

Geometry is one of the important topics in school mathematics. Many people solve daily life problems using geometry, including the concept of triangles. However, many students still have obstacles in learning the concept of triangles. This study aims to analyze students’ learning obstacles on the concept of triangle. A qualitative research along with a case study was conducted on 45 students of 9th grade, studying at one of the junior high schools in Majalengka, West Java, Indonesia. The data were collected using triangulation which included document analysis, test, and interview. The results showed that students experienced several types of learning obstacles, including students facing issues in incomplete or inadequate presentation of triangle material (didactical obstacle); their inability to use the triangle concept in the context of non-routine questions (epistemological obstacle); and their inability to follow the learning demands about the definition of triangle, the types of triangles, and the area of triangle (ontogenic obstacle), so that it is indicated that students have problems in understanding the concept of triangle. The results of this study can be used as a reference for developing a more optimal didactical design.


Keywords: junior high school, learning obstacles, triangle

References
[1] Özerem A. Misconceptions In Geometry And Suggested Solutions For Seventh Grade Students. Procedia Soc Behav Sci. 2012;55:720–9.

[2] Allen CE, Froustet ME, LeBlanc JF, Payne JN, Priest A, Reed JF, et al. National Council of Teachers of Mathematics. Arith Teach. 2020;29(5):59.

[3] Van de Walle J. “Geometric thinking and geometric concepts.,” Elementary and Middle school mathematics: Teaching developmentally. vol. 4th, pp. 306–312, 2004.

[4] Mohammad Aliabadi SK. Geometry and Proportion of Conical Domes’ Plans in Iran: Reviewing Case Studies. Journal of Architectural Engineering Technology. 2015;04(01):1–7.

[5] Moise EE. Elementary_Geometry_Advanced_Standpoint-Moise.pdf. Addison- Wesley Publishing Company, Inc; 1970.

[6] Sierpinska A. “Lecture notes on the Theory of Didactic Situations in mathematics.,” p. 2003.

[7] Muhassanah N, Sujadi I, Riyadi. “Analisis Keterampilan Geometri Siswa Dalam Memecahkan Masalah Geometri Berdasarkan Tingkat Berpikir Van Hiele.” Jurnal Elektronik Pembelajaran Matematika. 2014;2(1):54–66.

[8] Handayani RN, Suparman. “Design of mathematics worksheets based on guided inquiry model to improve mathematical connection skills.” International Journal of Scientific and Technology Research. 2020;9(3):4799–805.

[9] Sulistyowati A, Sujadi AA. Analisis Kesalahan Dalam Menyelesaikan Soal Sudut, Luas, Dan Keliling Segitiga Siswa Kelas Vii Smp Negeri 2 Mlati, Sleman. UNION: Jurnal Ilmiah Pendidikan Matematika. 2015;3(3):265–74.

[10] Yuwono MR, Udiyono U. “Systematic Analysis of Mathematics Textbook Base on the 2013 Curriculum in Triangles and Quadrilateral Material.” Jurnal Pendidikan Matematika dan IPA. vol. 11, no. 2, p. 300, 2020. https://doi.org/10.26418/jpmipa.v11i2.40843

[11] Jupri A, Usdiyana D, Sispiyati R. Teaching and learning process for mathematization activities: the case of solving maximum and minimum problems [ Journal of Research and Advances in Mathematics Education]. JRAMathEdu. 2021;6(2):100–10.

[12] Suryaningrum P, Ayuni Sara J. Geometri Eliptik di Kaji Secara Filsafat dan Penerapannya dalam Pembelajaran Matematika. Prosiding Seminar Nasional Matematika. 2022;5:60–4.

[13] Pereyra NA. Elements of Geometry., 2022. https://doi.org/10.1063/ 9780735424876_010

[14] Suryadi D, Hidayat T, Kaniawati I, Suwarma I, Setiabudi A. “Teori, paradigma, prinsip dan pendekatan pembelajaran MIPA dalam konteks Indonesia.” Bandung: FPMIPA UPI. p. 2010.

[15] Matsumoto K. “A review of Jerome Bruner ’ s educational theory : 教育理論における Jerome Bruner の功績をたたえて.'' Journal of Nagoya Gakuin University. Soc Sci. 2017;54(1):129–46.

[16] Septyawan SR, Suryadi D, Nurjanah. ``Learning obstacles on the concept of function: a hermeneutic phenomenological study.'' Journal of Physics: Conference Series. vol. 1280, no. 4, p. 2019.

[17] Skemp RR. Relational understanding and instrumental understanding. Math Teach Middle Sch. 2020;12(2):88–95.

[18] Wijaya AP, Yunarti T, Coesamin M. ``The analyzing of students' learning obstacles in understanding proportion,.'' Journal of Physics: Conference Series. vol. 1280, no. 4, p. 2019. https://doi.org/10.1088/1742