# THE GEOMETRIC THINKING PROCESS OF STUDENTS IN CONSTRUCTING THE CONCEPT OF AREA

## Authors

• Markus Palobo Department of Mathematics Education, Universitas Negeri Surabaya, Indonesia
• Dwi Juniati Department of Mathematics Education, Universitas Negeri Surabaya, Indonesia

## Keywords:

Geometry Thinking, Flat Shape

### Abstract [English]

Students often experience difficulties in learning geometry at the junior high. It is important in learning geometry to provide opportunities for students to build their own geometric concepts with guidance from educators. The purpose of this study was to describe the geometric thinking process of students in constructing the formula for the area of rectangles, squares and triangles and how the geometric thinking processes of students in solving contextual problems related to the area of flat shapes. This study uses a descriptive qualitative approach. The research out on 22 students of class VIII SMP PGRI Buntudatu. Research instrument using worksheets, and data collection through observations on the learning process and student work. The results showed that the geometric thinking process of students in building knowledge about the concept of the area of rectangles, squares and triangles had not gone well and smoothly. Students still need to be given regular guidance and instructions to help construct their knowledge. Students have not been able to use geometric reasoning well in terms of applying the properties of rectangles, squares and triangles in solving contextual problems related to the area of flat shapes

## References

Astuti, P. and Sariningsih, R. (2018). Analysis of the Mathematical Reasoning Ability of Junior High School Students Questions Quadrangle and Triangle Material, JPMI (Jurnal Pembelajaran Matematika Inovatif), 1(4), 807-817. https://doi.org/10.22460/jpmi.v1i4.p807-818 DOI: https://doi.org/10.22460/jpmi.v1i4.p807-818

Fuys, D. Geddes, D. and Tischler, R. (1988). The Van Hiele model of thinking in geometry among adolescents, Journal for Research in Mathematics Education, 3, 197. https://www.jstor.org/stable/749957 DOI: https://doi.org/10.2307/749957

Gottfried, A. Fleming, J. and Gottfried, A. (2001). Continuity of academic intrinsic motivation from childhood through late adolescence: A longitudinal study, 93(1), 3-13. https://doi.org/10.1037/0022-0663.93.1.3 DOI: https://doi.org/10.1037/0022-0663.93.1.3

Gutierrez, A. Jaime, A. and Fortune, J. (1991). An alternative paradigm to evaluate the acquisition of the van Hiele levels, 22(3), 237-251. https://doi.org/10.5951/jresematheduc.22.3.0237 DOI: https://doi.org/10.5951/jresematheduc.22.3.0237

Halat, E. (2007). Reform-based curriculum & acquisition of the levels, Eurasia J. Math. Sci. Technol. Educ., 3(1), 41-49. https://doi.org/10.12973/ejmste/75373 DOI: https://doi.org/10.12973/ejmste/75373

Hastoro, W. (2012). Determining the area of a flat shape with a checkerboard students VII.

Hiebert, J. and Grouws, D. (2007). effects of classroom mathematics teaching on students learningIn FK Lester (Ed.). Charlotte, NC: Information Age Publishing. https://www.semanticscholar.org/paper/THE-EFFECTS-OF-CLASSROOM-MATHEMATICS-TEACHING-ON-%E2%80%99-Hiebert-Grouws/3b2e2aabd07c64bb65408a3891902be4b7277cd6

Hiele, P. V. (1986). Structure and insight: A theory of mathematics education. New York: Academic Press. https://www.jstor.org/stable/3482241

Küchemann, D. and Hoyles, C. (2006). Influences on students' mathematical reasoning and patterns in its development: insights from a longitudinal study with particular reference to geometry, International Journal of Science and Mathematics Education, 4(4), 581-608. https://doi.org/10.1007/s10763-006-9039-6 DOI: https://doi.org/10.1007/s10763-006-9039-6

Mesquita, A. (1998). On conceptual obstacles linked with external representations in geometry, The Journal of Mathematical Behavior, 17(2), 183-195. https://doi.org/10.1016/S0364-0213(99)80058-5 DOI: https://doi.org/10.1016/S0364-0213(99)80058-5

Nu'man, M. (2006). embelajaran Berdasarkan Tahap Berpikir van Hiele untuk Membantu Pemahaman Konsep Bangun Segiempat pada Siswa Kelas VII MTs Negeri Malang 1. http://repository.um.ac.id/247265/

Oktaviana, V. and Aini, I. (2021). Deskripsi Kemampuan Penalaran Matematis Siswa SMP Kelas VII, Jurnal Pembelajaran Matematika Inovatif, 4(3), 587-600. file:///C:/Users/lenovo/Downloads/7035-19818-1-PB.pdf

Sulistiani, I. (2012). Pembelajaran Luas Daerah Persegi Panjang Berdasarkan Standar Pengajaran National Council of Teachers of Mathematics (NCTM) Untuk Meningkatkan Pemahaman Siswa Kelas III SDN Dinoyo I Malang, FOURIER, 1(1), 13-20. https://doi.org/10.14421/fourier.2012.11.11-16 DOI: https://doi.org/10.14421/fourier.2012.11.11-16

Sunismi, (2001). Diagnosis Kesulitan Siswa SLTP dalam Memahami Konsep Bangun Segiempat dan Remidinya, Universitas Negeri Malang. https://opac.perpusnas.go.id/DetailOpac.aspx?id=261132

2022-06-08

## How to Cite

Palobo, M., & Juniati, D. (2022). THE GEOMETRIC THINKING PROCESS OF STUDENTS IN CONSTRUCTING THE CONCEPT OF AREA. International Journal of Research -GRANTHAALAYAH, 10(5), 75–87. https://doi.org/10.29121/granthaalayah.v10.i5.2022.4613

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