2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/132624In this overview I sketch briefly the path to the so-called {\em t-J model} derived for the first time 30 years ago and provide its original meaning within the theory of strongly correlated magnetic metals with a non-Fermi (non-Landau) liquid ground state. An emergence of the concept of {\em real space pairing}, is discussed in a historical prospective. A generalization of this model to the many-orbital situation is briefly discussed. The emphasis is put on didactical exposition of ideas, as they were transformed into mathematical language. The concept of {\em hybrid pairing} is introduced in the same context at the end.14 pages without figures, lecture presented at the XII National School "Correlated Electrons Systems Then and Now", Ustron, Poland (September 2006)Strongly Correlated Electronstext