A Research on Transformation Geometry: Answered and Unanswered Questions

This study synthesizes the current state of knowledge in geometric transformation research and suggests directions for future study. Specifically, we address the following five questions: (1) What is geometric transformation? (2) Why is geometric transformation important in school mathematics? (3) What do we know about understanding geometric transformation? (4) How can technology be used in geometric transformation activities? (5) How are geometric transformation activities included in mathematics textbooks? Each of these questions presents a fertile research area within the realm of geometric transformations. Following an overview of the existing knowledge in this domain, we proceed to examine, for each question, related unanswered issues that warrant additional consideration from the research community.