Trigonometry is a struggle for some students. Perhaps one of the reasons for this is that instruction can be something of a one-way street, and concepts can be hard to grasp until more technical building blocks are learned. 

As seen here, researchers at the Universidad del Desarrollo in Chile aim to change that with a trigonometry tabletop display called TAMI, or Tangible Mathematics Interface. This nearly horizontal screen shows mathematical relationships, while allowing students to interact with them using physical controls. 

The most prominent controller here is a large rotary wheel. Students rotate this to modify the angle shown in the middle, and observe how concepts like sine and cosine react to this manipulation. An Arduino Leonardo takes input from this and other controls, and passes it along to a computer. This then handles on-screen info and even plays sounds as needed!