The purpose of this paper is to investigate the ability of students in understanding the relationship of quadrilateral based on their geometric thinking skill. It can help the students in solving problem to get a correct solution. The participants of this paper involved two students eighth-grade from 2 secondary schools in the area of Kabupaten Bone, Makassar, Indonesia. The participants were chosen, based on Piaget’s cognitive development, respectively one student at the early formal and late formal operation stage. To investigate students’s geometric thinking in constructing their understanding about the linkage of quadrillaterals, the researcher conducted task-based interviews by drawing activities, identifying and stringing the relationship between quadrilaterals. The results of this research showed that the student at the early formal stage (PEFO) stringing 14 of 15 relationships and tends to use 3 attributes (position, size, shape of quadrilateral). Addition the student at the late formal stage (PLFO) stringing 7 of 15 relationships and tends to use 4 attributes (position, size, shape of quadrilateral and rotational symmetry). There are all participants’ tendencies in drawing a quadrilateral always start drawing rectangel or square. It indicates that students are very familiar both of them. Therefore, it suggests that, in teaching, a teacher does not only start from a square or rectangle but also a teacher can start another quadrilateral such as parallelogram, rhombus, kite and trapezoid.

Abdullah, A. H., & Zakaria, E. (2011). Students’ Perceptions Towards the van Hiele’s Phases of Learning Geometry Using Geometer’s Sketchpad Software. Australian Journal of Basic and Applied Sciences, 5(7), 787-792

Abdusakkir. (2002). Pembelajaran Geometri Berdasar Teori van Hiele Berbantuan Komputer. Jurnal Matematika atau Pembelajarannya, 8(special edition), 344-348.

Adey, P. (1995) Cognitive acceleration: Science and other entrances to formal operations. London: King’s College London.

Burger, W. F., & Shaughnessy, J. M. (1986). Characterizing the Van Hiele Levels of Development in Geometry. Journal for Research in Mathematics Education, 17(1), 31-48. https://doi.org/10.2307/749317

Hergenhahn, B. R., & Olson, M. H. (2008). Theories of Learning. Jakarta: Kencana.

Husnaeni. (2006). Penerapan Model Pembelajaran van Hiele dalam Membantu Siswa Kelas IV SD Membangun Konsep Segitiga. Jurnal Pendidikan, 7(2), 67-68.

Idris, N. (2011). The Impact of Using Geometers’ Sketchpad on Malaysia Students’ Achievement and van Hiele Thinking. Journal for Mathematics Education, 2(2), 94-107.

Leongson, J. A., & Limjap, A. A. (2003). Assessing the Mathematics Achievement of College Freshmen using Piaget’s Logical Operations. Waikiki: Hawaii International Conference on Education.

Monks, F. J. A. K. (2006). Psikologi Perkembangan: Pengantar dalam Berbagai Bagiannya. Yogyakarta: Gadjah Mada University Press.

Solso, O. H. (2008). Psikologi Kognitif. Jakarta: Erlangga.

Sugiyono. (2005). Memahami Penelitian Kualitatif. Bandung: Alfabeta.

Sunardi. (2005). Pengembangan model Pembelajaran Geometri Berbasis Teori van Hiele (Dissertation of Mathematics Education Study Program), Universitas Negeri Surabaya.

Suyanto. (2005). Penelusuran Tahap Berpikir Geometris van Hiele Siswa Kelas III SMP Negeri 21 Surabaya yang Mengikuti Bimbingan Belajar Primagama pada Pokok Bahasan Segiempat (Thesis Mathematics Education Study Program), Universitas Negeri Surabaya.

Tambunan, S. M. (2006). Hubungan Antara Kemampuan Spasial dengan Prestasi Belajar Matematika. Makara, Sosial Humaniora, 10(1), 27-32. https://doi.org/10.7454/mssh.v10i1.13

Van de Walle, J. A. (2001). Geometric Thinking and Geometric Concept. In Elementary and Middle School Mathematics. Teaching developmentally 4th ed. Boston: Pearson Education.

Yazdani, M. A. (2008). The Gagne-van Hiele Connection: A Comparative Analysis of Two Theoretical Learning Frameworks. Journal of Mathematics Science & Mathematics Education, 3(1), 58-63.

Yeni, E. M. (2011). Pemanfaatan Benda-Benda Manipulative Untuk Meningkatkan Pemahaman Konsep Geometri Dan Kemampuan Titik Ruang Siswa Kelas V Sekolah Dasar. Jurnal Pendidikan Matematika, 1(special edition), 63-75.