Which teaching strategy is considered most appropriate for subjects like…

Concept: Induction and deduction are the two opposite directions in which reasoning can travel in a lesson. Induction moves from many particular instances to a general rule; deduction moves from a stated general rule to fresh particular instances. Pedagogically they are treated as complementary halves of a single cycle — induction is how a generalisation is arrived at, deduction is how it is put to work.

Application: Science, mathematics, grammar and physical geography are all rule-governed subjects — each is built on laws, formulae, grammatical rules or physical principles that a learner must first arrive at and then use. A lesson in such a subject therefore has two natural phases: an opening phase in which pupils observe, compare and frame the generalisation for themselves, and a closing phase in which that generalisation is applied to new problems until it becomes fluent. The strategy that carries both phases in one lesson is the Inductive cum Deductive method, and that is why it is prescribed for these subjects.

Cross-check — how each listed strategy handles the two phases:

Hence the appropriate strategy for science, mathematics, grammar and physical geography is the Inductive cum Deductive method.