Analisis Kemampuan Berpikir Geometri Berdasarkan Tahap Berpikir Van Hiele Pada Pembelajaran Matematika Siswa SMP

Abstract

Geometry is a mathematical branch that deals with the shape of an object, the spatial relationship between various objects, and its properties. Learning geometry is essential to supporting logical thinking ability, perceptual intuition, and reading and interpreting mathematical arguments. But many middle school students do not reach the stage of deduction and precision. The research was to analyze a high school student's geometry ability based on Van Hiele's stages of thinking. They consist of five levels of visualizing, analysis, sequence, deduction, and precision. It is a type of qualitative study with a descriptive method. The sample consisted of 20 eighth-graders in the located in the Karawang district. Data collection is carried out using a written questionnaire and test. Research shows that stage-0 (visualization) is the student's most achievable point from a questionnaire at 55% and a written test of 65%. The third stage (deduction) and fourth (accuracy) are the most difficult for students to achieve, based on written tests only 9% of students reach the third stage and only 6% of students reach the fourth. Student difficulties in learning this geometry may be due to several factors in their understanding of prerequisite materials, ability to concepts and pale-building qualities is lacking, and limited skill in using geometry ideas to solve mathematical problems.

Junior High School Students’ Geometry Ability Based on Van Hiele Level’s Thinking

“…Students could recognize and determine the characteristics of shapes based on their properties. This is in accordance with the results of research found by (Kurnia & Hidayati, 2022) line with the results of research from (Yuliana & Ratu, 2019) concluded that students with the analysis level are able to determine the type of quadrilateral flat building based on its appearance or visual, different positions and properties possessed, in explaining the properties of quadrilateral buildings based on images can explain specifically, but are less precise in the concept of diagonal, intersecting and perpendicular.…”

“…Like students can conclude that a square is a rectangle. This is in accordance with the statement (Zainal, 2020); (Kurnia & Hidayati, 2022) which explained that at the deduction level, students can draw conclusions, understand definitions, theorems and proofs. Meanwhile, there ewere no students who met level 5 (rigor), and there were many students who had not met the Van Hiele level, namely as many as 46.42% of students could not answer correctly the Van Hiele geometry test on level 1 questions (visualization).…”

“…The low mastery of geometry material is because it is difficult for students to understand, and many students do not master geometry concepts (Fauzi & Arisetyawan, 2020). However, when compared to other areas of mathematics, students are more likely to understand geometry because they are familiar with concepts such as line, plane, and space before entering school (Kurnia & Hidayati, 2022). This suggests that despite more opportunities to understand geometry, many students still face difficulties.…”