Analysis of Geometric Thinking Students’ and Process-Guided Inquiry Learning Model

van Hiele Level of Geometric Thinking among Secondary School Students

“…However, the learning method used in Indonesia still depends on transferring knowledge from teacher to students so that students only memorise without understanding the geometry concept given. This is in line with the study by Abu and Abidin [9] and Hardianti et al [2] which showed that traditional geometry teaching and learning method contributed to the low level of geometric thinking among secondary school students. The study by Nadjib [22] in South Sulawesi context showed unsatisfactory results.…”

“…Geometry is a subject that is learned in the mathematics curriculum from elementary to the secondary school level. However, many researchers [1][2][3][4] found that learning Geometry was difficult to understand and most of the students failed to master Geometry concepts. This issue has also been studied by van Hiele [5], who found that students' difficulty in understanding the Geometry concept is because of a lack of prerequisite knowledge about Geometry and a low level of geometric thinking.…”

“…They also found that students who learn the concept of geometry with the memorisation approach often fail in recognising Geometry shapes and relationships among them. In addition, Hardianti et al [2] found that Indonesian students' level of geometric thinking is still at a low level. One of the reason is that learning in the classroom focuses only on transfer of knowledge from the teacher to the students regardless of the van Hiele learning phases or even do not consider van Hiele level of geometric thinking.…”

“…Even though Abu and Abidin [9], Hardianti et al [2] and Kurniawati et al [11] have proved the positive impact of van Hiele learning phases in elevating level of geometric thinking, most of the teacher failed to improve and implement teaching and learning Geometry based on van Hiele model [12]. Hence, based on the information mentioned earlier, learning difficulties by Indonesian students are associated with visualisation, which is the basic level of van Hiele geometric thinking.…”

Students’ Geometric Thinking Based on Van Hiele’s Theory

“…Therefore, it is necessary to have a good geometric thinking skill. Nevertheless, students still have difficulty in geometric thinking (Hardianti, Priatna & Priatna, 2017;Abidin, 2010) which is indicated by the level of geometric concept mastery is still not maximized at the elementary school (Yudianto, 2011), Junior High School (Lestariyani, 2013;Apriyanti & Fitriyani, 2017;Amimah & Fitriyani, 2017), high school (Sunardi, 2016) and Higher Education (Jupri, 2005;Utomo & Wardhani, 2015;Darta, 2013;Rafianti, 2016;Noto, 2015). Therefore, as students of mathematics education department are prepared to become teachers in schools after graduation, it is very important to understand their geometric thinking skills so that their geometric thinking can be maximized.…”