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That's not my meaning.

Higher level math requires abstract thinking. Abstract thinking is hard. If you can learn to think abstractly then it will allow (or help) you solve a large class of abstract problems. If math is broken down such that it does not require abstract thinking and a person does not learn to think abstractly then they will not be able to solve that large class of abstract problems.

Or so my line of likely incorrect train of thought goes.



Or maybe interactive visualizations can help people learn to think abstractly, by showing how one level of abstraction relates to another?

http://worrydream.com/#!/LadderOfAbstraction




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