I came across this excellent (and provocatively titled) article, "Unsolved problems with Common-Core", which suggests interesting exercises to students all the way from kindergarten to high-school.
These exercises then form a gateway to a big, usually unsolved, mathematical conjecture or hypothesis.
Here is an example for kindergarten/1st grade:
These exercises then form a gateway to a big, usually unsolved, mathematical conjecture or hypothesis.
Here is an example for kindergarten/1st grade:
Can you color the map of Africa with four colors so that no two countries that touch are filled in with the same color?This is followed by:
The unsolved problem: without trying all possibilities, can you tell when a map can be colored in with 3 colors so that no two countries that touch are filled in with the same color?Fascinating stuff!
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