Engaging students in covariational reasoning within an augmented reality environment

This chapter considers the application of augmented reality (AR) technology for developing covariational reasoning and aims also to show general potentialities of AR technology and to give some hint of the theoretical principles behind them. Specifically, the chapter discusses the first design-cycle from a design-based research study that aims at both the development of an AR toolkit within iterative research cycles, and at its scientific investigation. Our main claim is that engaging students in coordinating continuous real phenomenon (e.g., a moving object along inclined plane) with its mathematical representations (e.g., plotting points of graph, ordered pairs in a table of values) through visual-kinesthetics activities may help the students to experience the multiple levels of sophistication and develop multiple meanings of the covariational reasoning. Insights from the first design cycle are presented and ideas for next design-cycles are also discussed.