Profiles of Students’ Geometrical Thinking Levels based on Their Spatial Abilities

Abstract

This research investigated students’ geometrical thinking based on van Hiele’s Geometrical Thinking levels for analysis, visualization, and abstraction according to students' spatial abilities. The research type was a case study. The research subjects were six grade XI students, chosen based on their spatial ability levels, namely, high, average, and low. Each level consisted of two subjects. Data collection was conducted using a spatial ability test and interview schedule, which the researcher developed from solid figure geometrical subject matters. Research's findings are (1) for high spatial-ability subjects, show an average score at the analysis level by identifying two properties of a spatial figure, (2) for average-level spatial-ability subjects, show the highest score at the analysis level by identifying several properties of a spatial figure. (3) Low spatial-ability subjects also show an average score at the analysis level by identifying two or three properties of the spatial figure.