Email this article Identification of Representation Ability in the Topic of Space Analytical Geometry for Student in Higher Education
Abstract
This study aims to identify the representation ability of prospective mathematics teacher students by exploring the material of Space Analytical Geometry. The type of research is design research involving 38 students of the Mathematics Department, FMIPA UNM. The research instruments used are Lesson Plan and e-Task. The e-Task is the instrument combining the LMS Syam-OK and Gdrive for collecting the outputs of these activities. From the results provide an important note that 1) the methods and materials of student representation depend on the knowledge they have, the wider the knowledge they have the various presentation information provided. 2) The method and material of representation shown by students will be more developed if the questions given are challenging. 3) From some of the problems given, the analytical method will be used if the problem requires pictures to be shown in its solution.
Penelitian ini bertujuan untuk mengetahui kemampuan representasi mahasiswa calon guru matematika dengan mendalami materi Geometri Analitik Ruang. Jenis penelitian yang digunakan adalah design research yang melibatkan 38 mahasiswa Jurusan Matematika FMIPA UNM. Instrumen penelitian yang digunakan adalah Lesson Plan dan e-Task. E-Task adalah instrumen yang menggabungkan LMS Syam-OK dan Gdrive untuk mengumpulkan output dari kegiatan ini. Dari hasil memberikan catatan penting bahwa 1) metode dan materi representasi siswa bergantung pada pengetahuan yang dimilikinya, semakin luas pengetahuan yang dimilikinya maka berbagai informasi presentasi yang diberikan. 2) Metode dan materi representasi yang ditunjukkan siswa akan lebih berkembang jika soal yang diberikan menantang. 3) Dari beberapa masalah yang diberikan, metode analitik akan digunakan jika masalah tersebut membutuhkan gambar untuk ditampilkan dalam penyelesaiannya.
Keywords
References
Allen, C. E., Froustet, M. E., LeBlanc, J. F., Payne, J. N., Priest, A., Reed, J. F., Worth, J. E., Thomason, G. M., Robinson, B., & Payne, J. N. (2020). National Council of Teachers of Mathematics. The Arithmetic Teacher, 29(5), 59. https://doi.org/10.5951/at.29.5.0059
Astuti, E. P. (2017). Representasi matematis mahasiswa calon guru dalam menyelesaikan masalah matematika. Beta: Jurnal Tadris Matematika, 10(1), 70–82.
Cambaya, E. J., & Tan, D. A. (2022). Enhancing Students’ Problem-Solving Skills and Engagement In Mathematics Learning Through Contextualized Instruction. Sci. Int. (Lahore), 34(2), 101–109.
Chevallard, Y., & Bosch, M. (2020). Didactic Transposition in Mathematics Education BT - Encyclopedia of Mathematics Education (S. Lerman (ed.); pp. 214–218). Springer International Publishing. https://doi.org/10.1007/978-3-030-15789-0_48
Stahl, N. A., & King, J. R. (2020). Understanding and Using Trustworthiness in Qualitative Research. Journal of Developmental Education, 44(1), 26–28.
De Cock, M. (2012). Representation use and strategy choice in physics problem solving. Physical Review Special Topics - Physics Education Research, 8(2), 1–15. https://doi.org/10.1103/PhysRevSTPER.8.020117
Dewi, S. V. P., & Sopiany, H. N. (2017). Analisis Kemampuan Representasi Matematis Siswa Smp Kelas Vii Pada Penerapan Open-Ended. Prosiding Seminar Nasional Matematika Dan Pendidikan Matematika (SESIOMADIKA), 1, 680–688.
Duval, R. (2006). A cognitive analysis of problems of comprehension in a learning of mathematics. Educational Studies in Mathematics, 61(1–2), 103–131. https://doi.org/10.1007/s10649-006-0400-z
Farokhah, L., T Herman, & A Jupr. (2019). Students ’ ability of mathematical representation on statistics topic in elementary school Students ’ ability of mathematical representation on statistics topic in elementary school. 1–7. https://doi.org/10.1088/1742-6596/1157/3/032110
Fennema, E., Sowder, J., & Carpenter, T. P. (1999). Mathematics Classrooms that Promote Understanding. Routledge.
Gervasoni, A. (2006). Insights About the Addition Strategies Used By Grade 1 and Grade 2 Children Who Are Vulnerable in Number Learning. Proceedings of the 30th Conference of the International Group for the Psychology of Mathematics Education, 3, 177–184.
Goldin, G. A., & Kaput, J. J. (1996). A joint perspective on the idea of representation in learning and doing mathematics. Theories of mathematical learning, 397.
Hapizah, H., Susanti, E., & Astuti, P. (2019). Teacher’S Abilities of Translation of Symbolic Representation to Visual Representation and Vice Versa: Addition of Integers. International Journal of Pedagogy and Teacher Education, 3(1), 41-50. https://doi.org/10.20961/ijpte.v3i1.19268
Hegarty, M., & Kozhevnikov, M. (1999). Types of visual-spatial representations and mathematical problem solving. Journal of Educational Psychology, 91(4), 684–689. https://doi.org/10.1037//0022-0663.91.4.684
Kaput, J. J. (1989). Linking representations in the symbol systems of algebra. Research Issues in the Learning and Teaching of Algebra, 167–194.
Kohl, P. B., & Finkelstein, N. D. (2005). Student representational competence and self-assessment when solving physics problems. Physical Review Special Topics - Physics Education Research, 1(1), 1–11. https://doi.org/10.1103/PhysRevSTPER.1.010104
Koper, R., & Olivier, B. (2004). Representing the learning design of units of learning. Educational Technology and Society, 7(3), 97–111.
Kozma, R. (2003). The material features of multiple representations and their cognitive and social affordances for science understanding. Learning and Instruction, 13(2), 205–226. https://doi.org/10.1016/s0959-4752(02)00021-x
Meilon, B., Mariani, S., & Semarang, U. N. (2019). Analysis of Mathematical Representation Skills Based on Student Learning Activities in Hands on Activity Assisted PBL Learning Model. Unnes Journal of Mathematics Education Research, 8(2), 213–219.
Minarni, A., Napitupulu, E. E., & Husein, R. (2016). Mathematical understanding and representation ability of Education public junior high school in North Sumatra. Journal on Mathematics, 7(1), 43–56. https://doi.org/10.22342/jme.7.1.2816.43-56
Munn, P., Reason, R. (1978). Arithmetical difficul-ties: Developmental and instructional per-spectives. Educational and Child Psychology, 24(2), 5-15.
Nasrullah, & Baharman. (2018). Exploring Practical Responses of M3LC for Learning Literacy. Journal of Physics: Conference Series, 954(1). https://doi.org/10.1088/1742-6596/954/1/012007
Nasrullah, Suradi, & Hamda. (2021). Study of Clarification Android Based Worksheet of Topic Cartesian Coordinate at Level Junior Secondary. Journal of Physics: Conference Series, 1752. https://doi.org/http://dx.doi.org/10.1088/1742-6596/1752
Nasrullah, Upu, H., & Syahrullah. (2017). Model Pembelajaran STTP Bagi Mahasiswa Dalam Penyusunan Modul Pembelajaran Matematika Berbasis eXeLearning. Jurnal Matematika Dan Pembelajaran, 5(2), 112–120.
Nurlisna, Anwar, & Subianto, M. (2020). Development of student worksheet to improve mathematical representation ability using realistic mathematics approach assisted by GeoGebra software. Journal of Physics: Conference Series, 1460(1). https://doi.org/10.1088/1742-6596/1460/1/012041
Ruslan, Alimuddin, & Nasrullah. (2017). The effectiveness of a mathematics learning model of realistic setting with NHT type on a three-dimensional main theme. Global Journal of Engineering Education, 19(3), 279–284.
Sabirin, M. (2014). Representasi Dalam Pembelajaran Matematika. JPM IAIN Antasari, 01(2), 33–44.
Saputri, V., & Kamsurya, R. (2020). Mathematical Representation Ability and Mathematics Self Efficacy in CORE Learning Models with Open-Ended Approach. ANARGYA: Jurnal Ilmiah Pendidikan Matematika, 3(2), 112-119
Sari, D. P., Darhim, & Rosjanuardi, R. (2018). Errors of students learning with react strategy in solving the problems of mathematical representation ability. Journal on Mathematics Education, 9(1), 121–128. https://doi.org/10.22342/jme.9.1.4378.121-128
Seeger, F., Voight, I., & Werschescio, V. (1998). Representations in the mathematics classroom: Reflections and constructions. The Culture of the Mathematics Classroom, 308–343.
Stahl, N. A., & King, J. R. (2020). Understanding and Using Trustworthiness in Qualitative Research. Journal of Developmental Education, 44(1), 26–28.
Surya, E., Sabandar, J., Kusumah, Y. S., & Darhim. (2013). Improving of junior high school visual thinking representation ability in mathematical problem solving by CTL. Journal on Mathematics Education, 4(1), 113–126. https://doi.org/10.22342/jme.4.1.568.113-126
Utami, C. T. P., Mardiyana, & Triyanto. (2019). Profile of students’ mathematical representation ability in solving geometry problems. IOP Conference Series: Earth and Environmental Science (Vol. 243, No. 1, p. 012123). IOP Publishing. https://doi.org/10.1088/1755-1315/243/1/012123
Widakdo, W. A. (2017). Mathematical Representation Ability by Using Project Based Learning on the Topic of Statistics. Journal of Physics: Conference Series (Vol. 895, No. 1, p. 012055). IOP Publishing. https://doi.org/10.1088/1742-6596/895/1/012055.
Refbacks
- There are currently no refbacks.
