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Inductive Reasoning
specific instances to general conclusion
Deductive Reasoning
general true principles to specific conclusion
Conjecture
conclusion that may or may not be true
Counterexample
a case for which a statement is not true
mathematician to make a study about problem solving
George Polya
Polya’s Four-Step Strategy
understand the problem, devise a plan, carry out the plan, review the solution
Kenken Puzzle or MathDoku
Arithmetic-based logic puzzle.
Tetsuya Miyamoto, 2004
inventor of kenken puzzle