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Category Archives: Algebra functions restricted to naturals
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
Teach Explicitly and Distinctly Algebra on Naturals and Rationals
Algebra is typically taught using a letter x with no distinction as to whether x is natural, rational or real. Keith Devlin illustrates this thinking by advocating teaching the field axioms instead of the progression from naturals to rationals to … Continue reading
Posted in Algebra functions restricted to naturals, Algebra functions restricted to rationals, Algebra on Natural Numbers., Algebra on Rational Numbers, Algebraic slope and rational numbers, Functions and ordered pairs, Object Oriented Rational Number, Slope concept on rationals, Slope Concepts
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