Montgomery County parents say new curriculum is ‘one-size-fits-all’ math

Montgomery County parents say new curriculum is ‘one-size-fits-all’ math

The WaPo article is by Lynh Bui.

==My comment

The math behind elementary math is not widely known. Even most mathematicians don’t learn it very well.

The Peano Axioms are a set of 5 rules for counting by one. I give versions that are easier to understand here:

http://newmathdoneright.com/peano-axioms/

Addition of whole numbers is counting on. But counting on is the same as the additive identities in Peano Arithmetic. I discuss a little of that here:

http://newmathdoneright.com/2012/11/15/why-use-cou…

If the schools would adopt the prime notation for counting on by one, so 2 = 1′, then they could teach the rules for counting by one and teach addition as repeated counting on using this notation. This would teach the concepts.

Students stumble when they reach fractions. This is because they have not learned a) whole numbers as math objects 2) that counting on by one is itself a function 3) that addition as counting on is a function 4) that multiplication is repeated addition is also a function.

The complexity of fractions is then too much for them.

==

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About New Math Done Right

Author of Pre-Algebra New Math Done Right Peano Axioms. A below college level self study book on the Peano Axioms and proofs of the associative and commutative laws of addition. President of Mathematical Finance Company. Provides economic scenario generators to financial institutions.
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