The classical guitar pedagogy is a collection of ideas, structures and patterns that are typical in teaching the instrument.
These elements have been formalised by several music governing bodies, most notably ABRSM.
These frameworks contain a rubric to teach classical guitar from novice to expert.
The classical guitar is today a standard instrument that can be studied at music universities and conservatories.
Relevant publications from John Sloboda and others exist, which consider e.g.: Brad Conroy's lesson on simple right hand arppegios [1]