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That we realize it or not we all have our own style in doing.
What says Richard Skemp we can help a lot to understand our style.
He distinguishes instrumental mathematics relational mathematics.
The instrumental mathematics is based on
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formulas
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to remember
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exercises
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products
it requires less knowledge, it is easier, its results are more immediate
The mathematical relationship is based on
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reasonings
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to think
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problems
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process
it is better suited to new tasks, it is easier to remember, it is more effective
I'm very much agree with this, and I also say that mathematics can and should also be participate, walking, experienced actively rather than passively listened to and absorbed
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