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Analytical Thinking Process Of Student In Proving Mathematical Argument

Arif Hidayatul Khusna

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Abstract

In mathematics there are two concepts of thinking, analytical thinking and procedural thinking. Analytical thinking is needed because the \nobjects studied in mathematics are abstract. Theorems, Definitions, and Lemmas are objects in mathematics. the arguments in this research are \narguments in the form of definitions, theorems, and lemmas. The research subjects were 5th -semester students of the Mathematics Education \nDepartment. The research instrument is a test question in the form of a description. The problem consists of one problem that asks students to prove a \nmathematical argument that exists in set material. The results of the study show that there are two subjects use the pre-analytical thinking process which \nis characterized by the process of simplifying the theorem, determining the proof plan regardless of the conclusions of the theorem. One subject uses an \nanalytical thinking process characterized by a process of simplifying theorems, determining the proof plan by considering the conclusions of the theorem.

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What this paper is about

In mathematics there are two concepts of thinking, analytical thinking and procedural thinking. Analytical thinking is needed because the \nobjects studied in mathematics are abstract. Theorems, Definitions, and Lemmas are objects in mathematics. the arguments in this research are \narguments in the form of definitions, theorems, and lemmas. The research subjects were 5th -semester students of the Mathematics Education \nDepartment. The research instrument is a test question in the form of a description. The problem consists of one problem that asks students to prove a \nmathematical argument that exists in set material. The results of the study show that there are two subjects use the pre-analytical thinking process which \nis characterized by the process of simplifying the theorem, determining the proof plan regardless of the conclusions of the theorem. One subject uses an \nanalytical thinking process characterized by a process of simplifying theorems, determining the proof plan by considering the conclusions of the theorem.

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Available abstract

In mathematics there are two concepts of thinking, analytical thinking and procedural thinking. Analytical thinking is needed because the \nobjects studied in mathematics are abstract. Theorems, Definitions, and Lemmas are objects in mathematics. the arguments in this research are \narguments in the form of definitions, theorems, and lemmas. The research subjects were 5th -semester students of the Mathematics Education \nDepartment. The research instrument is a test question in the form of a description. The problem consists of one problem that asks students to prove a \nmathematical argument that exists in set material. The results of the study show that there are two subjects use the pre-analytical thinking process which \nis characterized by the process of simplifying the theorem, determining the proof plan regardless of the conclusions of the theorem. One subject uses an \nanalytical thinking process characterized by a process of simplifying theorems, determining the proof plan by considering the conclusions of the theorem.

Key concepts: Argument (complex analysis), Process (computing), Set (abstract data type), Plan (archaeology), Calculus (dental), Mathematics education, Mathematics, Subject (documents)

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