Adaptive reasoning and procedural fluency in three-dimensional

Abstract

This research is motivated by the difficulty of students determining the angle between a line and a plane in the construction of three dimensions. Students sometimes hesitate to identify the algorithm that will be used to solve the distance and angle problems in the three-dimensional material in the lecture of Capita Selecta. Based on this, this study aims to analyze the adaptive reasoning abilities and procedural fluency of students in solving three-dimensional problems. The method used in this study is a qualitative method with a descriptive design. The research was conducted on 20 students. The results of this study indicate students can think logically in choosing the right concepts and situations and are accurate in doing calculations. Students also have shown the correct procedure by making fields through the CF line and ⊥ ACH fields. The algorithms used by students are varied so that students are found to have not been precise in determining the projection length of the CF line. It can affect the angle between the CF line and the ACH plane obtained.