The analogical reasoning analysis of Pesantren students in geometry

Abstract

Analogical reasoning is very important for students in Pesantren. This paper describes the analogical reasoning of Pesantren Students in geometry and identifies their difficulties and obstacles. This research is a descriptive qualitative research with 78 respondents. It specifically analyses analogical reasoning in understanding the concepts of geometry, analogical reasoning in theorems and properties, and the use of analogical reasoning in geometry problems. Student difficulties are based on test results and interviews: 1) writing Pythagorean equations based on right triangle images in various contexts; 2) writing cosine equations based on verbal definitions and images; 3) drawing a right triangle based on Pythagoras equation; 4) doing analogical reasoning between Pythagorean theorem and law of cosine; and 5) doing the analogical reasoning based on the theorem.