Development of Formal Reasoning Skills Through Subject Matter Calculus on Students Department of Mathematics Education and Natural Science Halu Oleo University

Purpose of this research is: (1) Develop a formal reasoning skill through subject matter calculus on students department of Mathematics Education and Natural Science Halu Oleo University, and (2) Comparing formal reasoning ability and learning outcomes of students who are given formal reasoning skills and without learning formal reasoning. The Subjects were students of the first semester of the Department Mathematics Education and Science Halu Oleo University, consisting of 4 Study Program are: Mathematics Education there are 51 people, 54 people Physical Education, Biology Education there are 50 people, and there are 35 people of Chemical Education. Of the four courses above, Physical Education Studies Program to be a place of learning implementation of formal reasoning skills. The Results of this research shows that the reasoning abilities of students department of Education Mathematics and Natural Science Halu Oleo University has increased and generally already at the stage of combinatory either through teaching or without formal reasoning skills. And, through the study of formal reasoning skills higher increase compared with no formal reasoning skills through learning. This means that the teaching skills of formal reasoning can accelerate the improvement of student reasoning abilities.