Punctuation is a set of symbols showing how sentences are meant to be read and understood. Grammar refers to how words change forms and combine to make sentences. Syntax is the part of grammar that deals with the order of words in a sentence.
Grammar and punctuation are sometimes used interchangeably, but they're not the same thing. Grammar refers to the structure and organisation of language, while punctuation refers to the symbols and marks that clarify meaning and aid in reading.
Grammar is different from articulation and narration as the latter is your ability to tell a story, and how you express yourself.
Grammar and speaking are not mutually exclusive: when you speak, your speech is governed by the rules of grammar, and the better your grammar is the better your expression.