MODELLING STUDENT MATHEMATICAL ARGUMENTATION WITH STRUCTURAL-INTUITIVE AND DEDUCTIVE WARRANT TO SOLVE MATHEMATICS PROBLEM

Abstract

Much research has been devoted to the argument in dialo rather than argument not in dialogue. Argument not in dialogue is important because the student tries to demonstrate and ensure the correct view by means of argument addressed to himself, the student tried to convince of himself. When student already have the ability to argument not in dialogue then that individual will have a stock when confronted with the argument in dialogue. Therefore, this study will specifically address the argument not in dialogue. This study aims to modelling students mathematical argumentations use a combination type of warrant that is structuralintuitive and deductive. Modeling argumentation use Toulmin scheme consists of the data, claims, warrants, backing, rebuttals and qualifier. The types of warrant use Inglis theory that structural-intuitive, deductive and inductive. This study used a qualitative approach to gathering data from the results of the written and think aloud subject. The results showed that subjects using the data to support the claim based on structural intuitive thinking that is using the internal representation of the structure and use of his belief that the subject produces conjecture. Subject to checked these conjecture through formal cognition is deductive. The existence of different conclusion from the structural-intuitive and the deductive thought.