We construct non-relativistic and relativistic non-Grassmann spinning particles on the ground of oldest idea about spin as "intrinsic angular momentum." Spin degrees of freedom live on a fiber bundle with a base parameterized by the inner angular-momentum coordinates. In the relativistic case, configuration space of the spin degrees of freedom is anti-de Sitter space. This produces both gamma-matrices and Lorentz generators in the course of quantization. Canonical quantization of the model implies the Dirac equation. We present the detailed analysis of both the Lagrangian and the Hamiltonian...