The Process of Student's Mathematic Abstract from Spatial Intelligence

Nor Khasanah, Nurkaidah Nurkaidah, Rosmala Dewi, Yusuf Arkham Prihandika

Abstract

Every student must have mathematical abstraction skills. Research with a qualitative approach aims to identify the mathematical abstraction process of students when working on geometric material problems in terms of spatial intelligence. By using a descriptive design, apart from the researcher as the main instrument, the mathematical abstraction test, the spatial intelligence test, and the interview reference were used as auxiliary instruments. A total of 6 students from class VIII were selected through purposive sampling technique which was taken from each category of spatial ability which had been classified into high, medium and low criteria. Based on data analysis, students' mathematical abstraction can be grouped into 4 levels, namely: recognition, representation, structural abstraction, and structural awareness. The conclusions of this study are: 1) students with a high level of spatial intelligence can achieve all four levels of mathematical abstraction characteristics and activities, namely recognition, representation, structural abstraction, and structural awareness. 2) students with moderate spatial intelligence can only achieve two levels of mathematical characteristics and abstraction activities, namely recognition and representation. 3) students with low-level spatial intelligence are only able to achieve one level of mathematical abstraction characteristics and activity, namely recognition where students are able to remember previous activities and experiences related to the problems at hand. This shows that students with moderate and low-level spatial intelligence do not have adequate abstraction skills in the concept of geometry.

Keywords

Mathematical abstraction, Geometry, Spatial intelligence

Full Text:

PDF

References

Annas, S., Djadir., & Hasma, S. M. (2018). The Abstraction Ability in Constructing Relation Within Triangles by The Seventh Grade Students of Junior High School. Journal of Physics: Conference Series, 954 012029. Armstrong. (2009). Multiple Intelligences in the Classroom. USA: ASCD. Aszalos, L., & Bako, M. (2004). How Can We Improve The Spatial Intelligence?. 6th International Conference on Applied Informatics. http://icai.ektf.hu/pdf/ICAI2004-vol1-pp267-274.pdf . [8 Desember 2020]. Cifarelli,V. V. (1988). The role of abstraction as a learning process in mathematical problem solving. Purdue University: USA Ciorbea, I., & Pasarica, F. (2012).The Study of the Relationship Between Personality and Academic Performance Elsevier. Procedia-Socialand Behavioral Sciences, 3 (2), 52-67. Ferrari, P. (2003). Abstraction In Mathematics. Philosophical Transactions of the Royal Society of London. Series B: Biological Sciences, 358(1435), pp. 1225–1230. Gardner, H. (2003). Multiple Intelligences, Kecerdasan Majemuk Teori dalam Prakter. (Terjemahan Alexander Sindoro). Batam: Interaksara. Fitriani, N., Suryadi, D., & Darhim, D. (2018). The students’ mathematical abstraction ability through realistic mathematics education with VBA-microsoft excel. Infinity – Journal of Mathematics Education. 7 (2), 123-132. Fitriani, N., Suryadi, D., & Darhim, D. (2018). Analysis of mathematical abstraction on concept of a three dimensional figure with curved surfaces of junior high school students, Journal of Physics: Conference Series, 1132 12037. Hendriana, H., & Fitriani, N. (2019). Mathematical Abstraction of Year 9 Students Using Realistic Mathematics Education Based on the van Hiele Levels of Geometry. Jurnal Dikdatik Matematika, 6(1), 1-11. Hutagalung, E. E., Mulyana, E. & Pangaribuan, T. R. (2020). Mathematical abstraction: students’ concept of triangles. Journal of Physics: Conference Series, 1521 032106. Nurhasanah, F. (2010). Abstraksi Siswa SMP dalam Belajar Geometri melalui Penerapan Model Van Hiele dan Geometers’ Sketchpad. Tesis. Bandung: Universitas Pendidikan Indonesia. Nurhasanah, F., Sabandar, J., & Kusumah, Y. S. (2013). Abstraction processes in learning geometry using GSP. EARCOME6 – 6th East Asia Regional Conference on Mathematics Education, 1-9. Nurhasanah, F., Kusumah, Y. S., and Sabandar, J. (2017). Concept of triangle : Examples of mathematical abstraction in two different contexts. IJEME – International Journal on Emerging Mathematics Education, 1 (1), pp. 53-70. Nailatussa’adah, U. (2019). Analisis kesulitan siswa dalam menyelesaikan soal matematika materi bangun ruang sisi datar ditinjau dari kecerdasan spasial siswa kelas VIII SMP. Tesis. Surakarta: Universitas Sebelas Maret. Prabowo, A., & Ristiani, E. (2011). Rancang bangun instrumen tes kemampuan keruangan pengembangan tes kemampuan keruangan Hubert Maier dan identifikasi penskoran berdasar Teori Van Hielle, Jurnal Kreano, 2(2), 72-87. Prasetyo, E., Santi, W., Masyikur, R., & Puta, F. G. (2018). Penaruh pembelajaran picture (PaP) terhadap hasil belajar matematia ditinjau dari kecerdasan spasial, Beta: Jurnal Tadris Matematika, 11(1), 50-61. Skemp, R. R. (2012). The Psychology of Learning Mathematics: Expanded American Edition. New York: Routledge. Suparno, P. (2004). Teori Intelegensi Ganda dan Aplikasinya di Sekolah. Yogyakarta: Penerbit Kanisisus. Tanzani, M. A. (2017). Kemampuan penalaran matematis ditinjau dari kecerdasan spasial siswa SMP Negeri 3 Banymas. Journal of Mathematics Education, 3 (2), 14-26. Thorndike, RM., Lunigham, G. K., Thorendike, R.L., & Hagen. E. P. (1991). Measurement and Evaluation In Psikologi And Education. New York: Mac Milan Publishing Company.

DOI: https://doi.org/10.20961/jmme.v9i2.48396

Refbacks

  • There are currently no refbacks.