I want to take an exception to the term cheat. Because it is only cheating the student in the end. I didn’t learn my times tables in elementary school. Sure, I can work out the answer to any multiplication problem, but that’s the point, I have to work it out. This slows me down compared to others who learned the patterns, where they can do the multiplication in their fast automatic cognitive system and possibly the downstream processing for what they need the multiplication for. I have to think through the problem. I only cheated myself.
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