평면도형 높이에 대한 학생 이해도와 오류 유형

Understanding and Error Types of the Height Concept in Plane Figures

The purpose of the research is to firstly, understand 5th graders conceptions of heights in triangles and parallelograms. Secondly, analyze and categorize the frequently shown error types of the concept of heights in triangles and parallelograms. Thirdly, think about the cause and counterplan of the students’ misconceptions of heights from the perspective of concept definition and concept image of Vinner model. 433 (19 classes) 5th graders of 6 elementary schools in Chungcheong area of South Korea were tested to draw the heights on a questionnaire containing 14 triangles and 12 parallelograms with varied positions and shapes. From the study, we could conclude as followings. There is a need to include wordings such as ‘the side opposite the vertex’ and ‘a line containing the base(extended base)’ within the definition of heights. The meaning of the words used in the definition and used in everyday life should be clearly discriminated. When teaching the concept of heights in plane figures, teachers should utilize various example and counter-example images based on the errors students frequently make.