school grammar
General term for grammar as taught in schools, often contrasted with linguistic or descriptive grammar.
In school grammar, adjectival nouns are treated as an independent part of speech.
Japanese school grammar; traditional Japanese grammar system
Specifically the prescriptive grammar system used in Japanese education and many dictionaries, based on Hashimoto Shinkichi's framework.
In Japanese language teaching, pedagogical grammar is often used rather than traditional school grammar.