Mental construction in mathematical proof

Abstract

Mental construction in this study is mental construction based on APOS theory (action, process, object, schema) in conducting mathematical proof. Therefore the purpose of this research is to find out how mental construction is based on APOS theory in mathematical proof and the results obtained from its application. This study included a quasi-experimental with posstest only nonequivalent comparison group design. This study conducted at IKIP PGRI Bali. The research sample was students who took real analysis courses. Based on the sampling results obtained two classes. Data retrieval is done by direct observation and tests. Based on the observations, it shows that the student worksheet is able to make all students active in learning. Data analysis shows that the mental construction of students proving ability is only up to the object stage. Based on the whole test results, the experimental class achieved significantly better results compared to the comparison class. This shows that the mental construction of students in proof has not yet reached the schema stage, which means that it needs to be improved and the application of APOS learning is able to help students in mathematical proof.