Commognitive Conflict of Critical Thinkers in Solving a Controversial Mathematical Problem

Abstract

Misinterpretations in learning mathematics are often encountered. That is part of the educational process that needs to be controlled. So the direction and steps of the mathematical thinking process can be realized according to the goals. This research utilizes a qualitative approach as a thinking paradigm. This study explores the ins and outs of students' misinterpretations when faced with controversial algebraic problems. The importance of knowing the misinterpretations raised by students can be a reflection signal of the extent to which students understand algebraic concepts. The subjects of this research were 17 students of MTs Surya Buana Malang City. In this study, the use of controversial mathematical problems in algebraic material. The results showed that four subjects representing each group of students' controversial reasoning were known to misinterpret. Based on the commognitive lens, conceptual errors were experienced by all the subjects of this study with various error variants. However, only two subjects experienced procedural errors when incorrectly applying the calculation operations.

The Relationship Between Computational Thinking and Critical Thinking Disposition in Mathematical Problem Solving: Bibliometric Analysis

“…Problem-solving is an integral part of learning mathematics (Ubaidullah et al, 2021). Where mathematics as a scientific discipline studies complex and universal problems with problem solving as a problem solver in it (Atmaja et al, 2023;Maharani et al, 2019). The relationship between problemsolving, critical thinking, and computational thinking is that these three are important analytical thinking skills to be developed in solving problems.…”

“…Problem-solving is the ability to identify, analyze, and solve problems (Ubaidullah et al, 2021). Critical thinking is the ability to think critically and analyze information objectively (Atmaja et al, 2023). While computational thinking is the ability to solve problems using computational methods and algorithms (Lyon, 2020).…”