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"Would you design mathematical notations based on the opinion of 5th graders?"

Haven't read the entire paper but...learning from something doesn't mean you need to design something 'based' on that.

The advantage of studying how people unfamiliar with a specific way to solve problems will solve that problem is actually a great technique to try to understand common patterns and approaches humans think about problem solving.

Some pattern solving strategies will be more successful than others and it is worth understanding what is common to those (especially when compared to the unsuccessful ones)

Identifying patterns in the way people solve these problems can prove to be great design insights that go into the design of problem-solving solutions for those problems.

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