The authors discuss students’ mathematics learning experience through a metaphor from Lewis Carroll’s *Alice Through the Looking Glass*: As part of the first two years of the undergraduate mathematics program at Brock University, students follow Alice’s lead and penetrate a looking-glass into a different world of mathematics. In the process, their preconceived views of mathematics are challenged as they learn to design, program, and use highly interactive computer environments to explore their own stated mathematical conjectures, theorems, or real-world situations.

Muller, E., Buteau, C., & Sacristán, A. (2015). Through the Looking-Glass: Programming interactive environments for advanced mathematics. Hoyles & Noss (guest eds.): Special issue *Windows on Advanced Mathematics* in *Mathematics Today*, 212-217.