This study explored students’ performance in solving questions related to a cube represented in a plane and discussing its relationship to Van Hiele geometric thinking levels. In total, 146 eighth graders (78 boys and 68 girls) of a junior high school in New Taipei City were studied. A Van Hiele geometric thinking level test and three-dimensional graphic component relationship judgment test were administered to all students. The conclusions were as follows. (1) Junior high school students performed better in three-dimensional graphic component relationship judgment test problems in which visual cues and answers are consistent than in those in which they are inconsistent; (2) students with Van Hiele geometric thinking levels of 2 and 3 performed better at three-dimensional graphic component relationship judgment test than those with levels of 0 and 1. The differences were apparent in questions in which visual cues and answers were inconsistent. Based on the research results, suggestions for teaching and future study are provided.
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Study to Identify Length Relationships of a Cube in Perspective by Junior High School Students with Different Levels of Geometric Thinking
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