Present participle of catechize; the act of teaching by asking questions and answers.
From 'catechize' plus the present participle suffix '-ing,' showing the action in progress or as an ongoing activity.
The '-ing' form captures the iterative nature of catechizing—it's not a one-time event but a repeated, rhythmic process of question, answer, question, answer, which is exactly why it was so effective at embedding knowledge.
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