An elementary approach to the quantum theory of angular momentum is sketched. The quantization of angular momentum components, Heisenberg‐type inequalities for their spectral dispersions, and the quantization of the angular momentum modulus are introduced without using operators or commutation relations. The purpose is to focus the attention on angular momemtum as a very important practical concept of quantum physics, as well as on its specifically quantum‐theoretical aspects, right from the beginning of an introductory course. Since the heuristic arguments employed here closely parallel the rigorous derivations of a formal approach, the intuitive presentation does not contradict, but rather supports, the theoretical concepts to be introduced at a later stage.