Analysis of students' errors in drawing function graphs in three-dimensional space based on APOS theory
DOI:
https://doi.org/10.56294/saludcyt20251833Keywords:
Errors, Genetic Decomposition, APOS Theory, Graphics, Three-dimensional SpaceAbstract
This research is aimed to investigate students' conceptual understanding of drawing graphs in three-dimensional space through the application of APOS theory. Additionally, genetic decomposition is designed for graphs to facilitate conceptual understanding and assist lecturers in planning learning activities. A qualitative descriptive method is also adopted and data collection is performed through tests, interviews, and documentation, while the validity techniques use triangulation. The results show that students with high, moderate, and low abilities have an understanding of the action, process, and object stages in drawing graphs in three-dimensional space. However, those with moderate and low abilities lack understanding at the object stage. Some reported errors are challenges in creating graphs, with instances of being erroneously constructed in two-dimensional space. There are also errors in determining the intersection point of lines with Cartesian coordinate axis, as well as in drawing and connecting traces.
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Copyright (c) 2025 Yerizon, I Made Arnawa, Arnellis, Fridgo Tasman, Yarman, Kelly Angelly Hevardani (Author)
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