A Logical Thinking Analysis through the Euclidean Geometry
The objective of this present research is to analyze the logical thinking of the students of mathematics education department through the solution to the Euclidean geometry problems. This research was made at the Mathematics Education Department, University of Muhammadiyah Malang where six students consisting of each two students under low, medium, and high abilities were taken as the research subject. The data were obtained through the Euclidean geometry test and then were analyzed through the solution results of the Euclidean geometry item tests by paying attention to the grouping of their learning results. The result showed that the students under the low category had a less logical thinking pattern since they did not pay attention to a proper order in solving the problems. Those under the medium category showed a relatively logical thinking order as suggested by the fact that some of the orders was not properly followed, but the students under the high category showed that their thinking is based on an awareness so that their thinking order is said to be logical.