Investigating Arithmetic Mean, Harmonic Mean, and Average Speed through Dynamic Visual Representations1

Working with dynamic visual representations can help students-with-computer discover new mathematical ideas. Students translate among multiple representations as a strategy to investigate non-routine problems to explore possible solutions in mathematics class-rooms. In this paper, we use the area models as new representations for our secondary students to investigate three problems related to the average speed of a particle. Students show their ideas in the process of investigating arithmetic mean, harmonic mean, and av-erage speed through their created dynamic figures. These figures really utilize dynamic geometry software