Design and Validation of a Robotic System to Interactively Teach Geometry

Learning geometry can be significantly improved if the student interacts with shapes and their transformations. We present the design and validation of a robotic system that teaches geometry by natural interaction. The robot is able to draw arbitrary shapes in the environment by means of its own movement. It is also able to detect and track the student movements, representing them as geometrical shapes and reproducing them. We will show four experiments where a robot is able to draw mathematical shapes, including an affine transformation, and two experiments where the robot reproduces trajectories a student previously showed it.