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 threedimensional 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.