Abstract
Analytical thinking is an ability to observe objects thoroughly and solve facts comprehensively. This study is set to describe students' analytical thinking processes in solving mathematical problems, especially in quadratic functions. It employs a qualitative approach with qualitative descriptive research. The subjects in this study are one student with high mathematics ability, one student with medium mathematics ability, and one student with low mathematics ability of Tenth Grade of State Islamic Senior High School 3 Tulungagung. Data collection are carried out through task-based interviews. Meanwhile, data analysis technique are data reduction, data presentation, and conclusion Based on the results of data analysis and discussion, it is concluded that (1) The student with high mathematical ability pass several stages, namely differentiating, and organizing, he/he can solve the quadratic function problem properly according to the problem solving steps. (2) The student with medium mathematical ability can go through differentiating and organizing stages. But at the attributing stage, he/she are less able to solve problems based on the objectives. (3) The student with low mathematical ability tends not to pass differentiating, organizing, and attributing analytical thinking stages. He/she are less able to solve quadratic function problems according to the solving steps.Keywords: Analytical thinking process; problem solving; quadratic functions
Highlights
Problem solving is an ability that must be mastered by the students in learning mathematics
The assignment sheet consists of a quadratic function problem solving question designed to determine the analytical thinking process in solving mathematical problems
Subject 1 (S1) said that the mathematical concepts used are the area of the plane and the quadratic function.The results of the interviews reveal that S1 can sort and collect important information such as the known information and the asked in the questions
Summary
Problem solving is an ability that must be mastered by the students in learning mathematics. This research is conducted to explore information and descriptions of the analytical thinking process carried out by students in solving math problems with the quadratic function material. METHOD This study seeks to reveal in depth the students' analytical thinking processes in solving mathematics problems analyzed based on written assignments and interviews Prospective research subjects are 23 students of State Islamic Senior High School 3 Tulungagung They are given the task of solving the quadratic function problem, the results of the students' work are analyzed and grouped according to their mathematics abilities, so that the subjects in this study consist of three students (1 student with high mathematics ability, 1 student with medium mathematics ability, and 1 student with low mathematics ability). The procedures carried out in this study include three stages, namely the preparation stage, the implementation stage, and the completion stage
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