Rigorous Mathematical Thinking: Why are Cognitive Levels Important in Three-Dimensional Learning for Pre-service teachers?

Abstract

Learning material three dimensions is closely related to processing high-level abstract thinking skills. The ability in question is Rigorous Mathematical Thinking (RMT). Some research results do not focus on the relationship of RMT with cognitive levels. The cognitive relationship between RMT is essential because students must have abstraction skills to be able to teach according to the concept. The study aimed to determine the ability of RMT mathematics teacher pre-service based on cognitive levels in a three-dimensional material. The research method is qualitative descriptive because of the use of test sheets and interviews as instruments. The research sample consisted of three students, each with low, medium and high cognitive abilities. Research has resulted in the ability of prospective RMT mathematics teachers to have a close relationship with their cognitive level. High-level RMT students can link the three-dimensional concepts of the Pythagoras theorem, great line propositions, angular definitions, the definition of squared angles, and several trigonometric principles. Medium RMT, able to sort diagonal concepts until the trigonometric proposition is systematic. A low RMT can label a right triangle and cube side. The results of this study are the basis for giving appropriate treatment to students before carrying out teaching practices.