One way to hold this word: somebody standing up and saying words out loud, in order, for other people to hear. The words are not their own — a poem learned by heart, a lesson, a list — and they come out one after another, in the order they were fixed. Both halves of that picture do work in the word: 'said aloud for listeners' gives the poem on the school stage, and 'one item after another, in fixed order' gives the long flat account of everything that happened.
From the word’s history
Borrowed from Middle French récitation, from Latin recitatio; in English it is recite + -ation, so the action under the word has always been 'saying words out loud'.
借自中古法文 récitation，再往前是拉丁文 recitatio；在英文裡就是 recite 加 -ation。所以這個字底下的動作一直都是「把字句唸出來」。
Wiktionary, "recitation"
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