2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/35413This is a review of the aspirations and disappointments of the canonical quantization of geometry. I compare the two chief ways of looking at canonical gravity, geometrodynamics and connection dynamics. I capture as much of the classical theory as I can by pictorial visualization. Algebraic aspects dominate my description of the quantization program. I address the problem of observables. The reader is encouraged to follow the broad outlines and not worry about the technical details.Latex, 35 pages. arXiv admin note: figures missingGeneral Relativity and Quantum Cosmologytext