Mathematical critical thinking ability of students grade VII in solving one variable linear equation questions based on their cognitive style

Abstract

To face the industrial revolution 4.0, the abilities that should be possessed by students are high-level thinking skills that include mathematical critical thinking skills. Critical thinking is the ability to analyze information obtained based on facts in order to make reasonable conclusions. This is a qualitative descriptive study that aimed to determine and illustrate the critical thinking skill of students with filed dependent (FD) and filed independent (FI) cognitive in solving a single variable linear equation problem. Two students selected based on the GEFT test acted as the subjects of this study. One of them had FD cognitive while the other had the FI cognitive. The instruments used in this study were (1) mathematical critical thinking tests, (2) cognitive style tests in the form of GEFT, and (3) interviews. Data analysis techniques in this study consisted of (1) data reduction, (2) data presentation, (3) verification and conclusion. The indicators of students’ mathematical critical thinking skill included (1) reason and (2) clarity. It was found that (1) student with filed dependent style on reason indicator needed to get used to making an argument or reason, while for clarity indicators, FD subject could change statements into mathematical symbols clearly and precisely. (2) Students with cognitive style FI, chose and gave reasons and drew conclusions correctly, changed statements into mathematical symbols clearly and precisely.

Critical thinking in mathematics education: A bibliometric analysis

“…Critical thinking is the ability to think about one's own thinking to enhance the quality of thinking and make effective decisions (Scriven et al, 1987;and Judge et al, 2009). Critical thinking in mathematics, the goal could be to learn how to determine the most efficient and effective method to solve problems includes building mathematical ideas through explaining, questioning, and organizing, using mathematical understanding to generate new ideas, providing reasons or judgments, and performing ways to solve mathematical problems (Anderson & Krathwohl, 2001;and Permani & Prabawanto, 2020;Salwah et al, 2020). Mathematical critical thinking can be defined as the processes and abilities used to understand mathematical concepts, apply them, synthesize information, and evaluate the generated information (Purnamasari et al, 2021).…”

Analysis of Students’ Critical Thinking Skills in Determining Plane Figure Properties

“…Critical thinking is one type of higher-order thinking skill that students must possess to solve their problems (Ashari & Salwah, 2017). Critical thinking is analyzing information based on facts to make reasonable conclusions (Salwah et al, 2020). Critical thinking can also be interpreted as analyzing thought in a more explicit direction, separating something sharply, selecting, recognizing, considering, and creating an ideal purpose (Istianah, 2013).…”