Van Hiele Levels: Errors in Solving Geometry Problems from Mathematical Disposition

Abstract

The purpose of this study is to analyze student errors based on van Hiele’s level of understanding in solving geometric problems in terms of mathematical dispositions. This research is considered important as it can reveal mistakes often made by students based on van hiele levels. There are 5 levels contained in van hiele levels, namely level I-visualization, level II-analysis, level III-ordering, level IV-deduction, and level V-rigor. This research is a qualitative descriptive study. Subjects in this study were selected based on high, medium, low mathematical disposition abilities. This research shows that students with high mathematical disposition in solving geometric problems reach level IV-deduction. Students with moderate dispositions are able to reach level II-analysis and make mistakes at level III-ordering. Furthermore, students with low mathematical disposition only reach level I-visualization and make errors at level II-analysis.