A Study of the Problems Involved in Teaching Mathematical Induction on the High School Level with Suggested Possible Solutions |
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accepted actual added American Mathematical Monthly angles approach argument assertion assume Bussey Cajori called conclusions Consider contains contains a least deductive definition disc divisible equal example exists familiar Find formula geometry girls given gives grade greater guess hair color high school hypothesis Illustration implies included Initial step integers interesting introduced involved kinds later least element logic mathematical induction mentioned method move natural numbers Origin Perhaps pieces polygon positive integral positive integral values possible preceding presented principle of mathematical problems proof Property Proposition prove reasoning recursive References remember require roubles rule sequence Sequential step shown sides smaller solutions square number statement step student suggest Suppose Table Teachers term theorem topic Tower transfer triangle triangular true for n=k valid