Analysis of Students’ Adaptive Reasoning in Solving Quadrilateral Problem Viewed by Van Hiele’s Thinking Level

A Mulyayunita, Nurjanah Nurjanah

Abstract


Adaptive reasoning has an important role in improving the ability to think of students in mathematics, especially in geometry. The ability to draw, explained, and confirmed the relationship between the concept of and the situation need to be developed in order to support the students' geometry ability. This study aims to describe students' adaptive reasoning of class VIII in solving quadrilateral problem viewed by van hiele's thinking level on level 0 (visualization), level 1 (analysis), and level 2 (informal deduction). The research method used is qualitative research method with descriptive research. Research subjects were taken as many as 7 students from class VIII Junior High School in Jakarta. Data were collected by the test of students' adaptive reasoning ability on quadrilateral problem and observation. The results showed that students' adaptive reasoning ability is less. It
is caused by indicators of students' adaptive reasoning ability that are not fulfilled. If viewed by van hiele's thinking level, students at most are at level 0 (visualization). This is indicated by the results of the students' answer almost all the students can name and describe a quadrilateral. There are no students who achieve level 1 (analysis) and level 2 (informal deduction). It is caused by an understanding of the concept and characteristics of the quadrilateral is lacking, and the lack of skills to use geometric ideas in reasoning and solving math problem relating to the
quadrilateral.


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