EXPLORATION THE STUDENTS REASONING IN SOLVING TRIGONOMETRY PROBLEMS IN TERMS OF THE ABILITY OF LOGICAL THINKING

Abstrak / Ringkasan

Reasoning has been researched by many experts. However, the research of students in reasoning in solving Trigonometry is not sufficient. This research is a qualitative research used to explore students' reasoning in Trigonometry based on logical ability and comparation between subjects with high-logic ability and subjects with medium-logic ability. The instruments in this research are the researchers themselves as the main instrument guided by math-problems solving task and valid and reliable interview manual. The data collection is done by task-based interview. The subjects of the research is the XII-IPA students which consists of 2 people. The research process follows these stages : (a) formulate the reasoning indicators in solving math problems based on relevant theory and research, (b) formulate valid and reliable supporting instruments (math problems solving task and interview manual), (c) collecting the research subject by giving logical ability test, (d) data collecting to reveal students' reasoning in solving math problems, (e) conclude the research result.
The result shows: (1) the similar method between the high-logic subject and the medium-logic subject is in solving each Trigonometry question, they always start with inductive reasoning and then continue with deductive reasoning, (2) the difference between the subjects reasoning of high-logic ability and medium-logic ability was on the process of reasoning between two those two subjects on each of problem solving according to Polya’s steps. Based on the result, the students' reasoning can be a reference in developing math learning model to improve students reasoning abilty base on logical thinking.
Keyword : Mathematics Reasoning, Logical Thinking

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