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Re:Why are Soviet math textbooks so hardcore in comparison t... by telchar on Tuesday April 21, 2020 @11:35PM (#22941844)
In my experience, it's easy to think one has understanding without actually understanding. The process of applying that tentative understanding to a problem to test it is essential to figuring out what the flaws are in the tentative understanding so that real understanding can eventually be achieved. Once it gets to the point that a person can crank through problems without significant errors, then I think further problems don't do much good except as an occasional refresher.
Re:Why are Soviet math textbooks so hardcore in comparison t... by jgwil2 on Wednesday April 22, 2020 @01:21PM (#22947930)
Hence the importance of word problems, I think. They force a synthesis of abstract and concrete that really tests/enhances understanding on all levels.