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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

  • formulas

  • to remember

  • exercises

  • products

it requires less knowledge, it is easier, its results are more immediate


The mathematical relationship is based on

  • reasonings

  • to think

  • problems

  • 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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