Analysis of Students' Mathematical Reasoning Ability in Solving Mathematics Problem

摘要

The purpose of this study is to describe students' mathematical reasoning abilities in solving mathematical problems. This study used descriptive qualitative method. The subjects of the study consisted of 10 XI grade students of SMA Muhammadiyah 3 Surakarta, selected by purposive sampling. The instrument used to explore the ability of mathematical reasoning is a description test, followed by an interview. Based on the results of this study it can be concluded that the reasoning of SMA Muhammadiyah 3 Surakarta students in solving mathematical problems is more dominant using inductive reasoning of 70%, which is far greater than deductive reasoning which is only 30%. Another interesting finding from this study, students tend to use the inductive reasoning and the difficulty or not thought of using deductive reasoning in solving mathemathics problem, but when interviews are given guidance it turns out that some of them are capable of using deductive reasoning. The tendency of inductive reasoning, associated with students who are easier to think with real specific facts in solving abstract mathematics problems. This inductive reasoning is formed because inlearning, to facilitate students' understanding in the mastery of abstract mathematical concepts, the teacher provides spesific concrete examples to conclude a more general concept. To build a deductive mindset, it should teach an understanding of bastract mathematical concepts, although starting from a spesific example but the teacher must deliver gradually so that the correct logic can conclude a general concept.