Teaching computational mechanics is inherently complex. The underlying physical processes evolve in three spatial dimensions and over time, making intuitive visualizations in traditional lecture notes or on blackboards challenging. In addition, the abstract mathematical concepts at the core of computational mechanics are often difficult for engineering students to grasp. How can the weak formulation be conveyed intuitively? How should the deformation gradient be interpreted as the Jacobian of a three-dimensional deformation field? And what does it truly mean that strains and stresses are described mathematically by tensors rather than matrices? These challenges motivated the development of a series of educational videos on the finite element method, continuum mechanics, and tensor calculus. The goal of these videos is to complement traditional lectures and exercises with visually engaging animations that clarify otherwise difficult theoretical concepts. In this talk, we highlight selected example animations, present the methods used to produce them, and offer practical guidelines for university instructors and science communicators. Drawing on two years of experience in video development, we also discuss which mathematical ideas benefit most from visualization to enhance student understanding. Finally, we outline future opportunities.