Abstract
This study aims to describe the level of students' geometry thinking based on Van Hiele's thinking theory, the level of students' geometric problem solving abilities, and analyzing students' difficulties in solving geometric problems. This type of research is qualitative descriptive research. The researcher took six research subjects consisting of low, medium, and high level geometry problem solving abilities to be interviewed and analyzed the types of difficulties experienced. The results of this study indicate that there are 26 students reaching level 0 (visualization), 21 students reach level 1 (analysis), 13 students reach level 2 (informal deduction), 6 students reach level 3 (deduction) and no one can reach level 4 (rigor). Furthermore, there are 13 students who have a low level of problem solving ability, 7 students have a medium level of problem solving ability, and 6 students have a high level of problem solving ability. The difficulties experienced by the research subject are described in each problem.
Highlights
Geometry is one branch of mathematics that is taught at the secondary school level
The importance of geometry material for junior high school students can be seen in the graduate competency standard for Junior High School which is stated in Permendiknas Number 23 of 2006 which states that every junior high school graduate must be able to understand geometry, elements and geometry, size and measurement, and do problem solving related to geometry material (Wardhani, 2008)
Tests of geometry problem solving abilities are arranged based on indicators of Van Hiele's level of thinking and using polya problem solving steps
Summary
Geometry is one branch of mathematics that is taught at the secondary school level. According to (Abdussakir, 2010), geometry occupies a special position in the mathematics curriculum, because of the many concepts contained in it. From a psychological point of view, geometry is the presentation of abstractions from visual and spatial experiences, for example fields, patterns, measurements and mapping. Whereas from a mathematical point of view, geometry provides approaches for problem solving, for example images, diagrams, coordinate systems, vectors, and transformations. One of the concepts in mathematics learning that must be mastered at the junior high school level is geometry. The importance of geometry material for junior high school students can be seen in the graduate competency standard for Junior High School which is stated in Permendiknas Number 23 of 2006 which states that every junior high school graduate must be able to understand geometry, elements and geometry, size and measurement, and do problem solving related to geometry material (Wardhani, 2008)
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