Why do people who are good at math come up with solutions? The truth about the 'trial and error' not written in model answers

When solving math problem sets, have you ever had questions like these?"Why did they decide to factorize here?""Why did they ...
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How to Use Math Notes on iPad Calculator App: Beginner’s Guide

Math Notes is introduced in the latest version of iOS and iPadOS 18. It automatically calculates math equations and displays the results as you write. You can use it to solve various math problems and ...

Can Problems Without a Specified Answer Lead to Learning? The Science of the 'Goal-Free Effect' [Learning Science]

IntroductionWhen looking at a math problem, we try to proceed to the required answer by the shortest path. However, beginners ...