What is the difference between a waiver of a jury trial and a plea of guilty?

This distinction between the requirement that a waiver of the right to a jury trial be express and the requirement that a plea of guilty be knowing and intelligent was recognized by this court in In re Tahl (1969) 1 Cal.3d 122, 81 Cal.Rptr. 577, 460 P.2d 449: "California law has long required that waiver of a jury trial be express. [Citation.] However, prior to Boykin v. Alabama, discussed infra, it was not necessary that acceptance of a guilty plea be preceded by a specific waiver of the right to a jury trial, or any other right (except the right to counsel, where none was present). Therefore, although [8 Cal.4th 446] the present record would be insufficient now to constitute a valid waiver of a jury trial, this does not necessarily preclude holding the plea of guilty to be acceptable under then existing California law." (In re Tahl, supra, 1 Cal.3d 122, 129, fn. 4, 81 Cal.Rptr. 577, 460 P.2d 449.)