Category Archives: Real numbers difficulties

People give up trying to understand structure with real numbers

Infinite decimals make people give up thinking.  They don’t believe they can understand an infinite decimal, especially one that does not repeat.  Therefore, K-8 should avoid reals as much as possible. It is natural to think you can understand finite … Continue reading

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School Goals: Naturals Perfect, Rationals Well, Reals wing it

For teaching students from K-?, we should have the following emphasis. Natural Numbers almost perfect.  This includes mathematical induction and proofs. Limitations of natural numbers almost perfect. Rational numbers well.  This includes ordered pairs. Limitations of rational numbers well. Real … Continue reading

Posted in Algebra functions restricted to naturals, Algebra functions restricted to rationals, Functions and ordered pairs, Real numbers, Real numbers difficulties | Leave a comment