I like your analysis of your teaching style, and I believe your judgment is accurate. As a student, I believe that constructing real problems to explain mathematics is a particularly effective method. Although it may take more time to visualize mathematical concepts, it undoubtedly leaves a deeper impression on students. I can always remember the scene when I was studying the Pythagorean theorem of trigonometric functions, where the teacher poured water from a square formed by two right angled sides into a square formed by the hypotenuse, filling it perfectly. It has been proven that this method of driving multiple parts of the brain to work together seems to deepen my impression of concepts.
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