Category Archives: Addition Proofs

Peano Axioms Associativity of Addition

Associativity of Addition is one of the easy induction proofs. A short example is here. http://homepages.math.uic.edu/~libgober/math215/export/215problem.pdf Aitken lectures http://public.csusm.edu/aitken_html/m378/Ch1PeanoAxioms.pdf BYU lectures http://www.math.byu.edu/~andy/math190_Ch1.pdf The following skips associative but does discuss commutative and proof by induction. http://catdir.loc.gov/catdir/samples/cam031/82004206.pdf More difficult to read perhaps: … Continue reading

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re: Alexandre Borovik Why is arithmetic difficult?

Math professor Alexandre Borovik has a post on understanding why arithmetic is difficult to learn.  It is because it has a greater conceptual structure than is realized.  He points out this complexity goes from hidden to explicit by use of … Continue reading

Posted in Addition Proofs, Alexandre Borovik, Christian Spannagel, Folge der natürlichen Zahlen, Peano Axioms for Pre-Service Teachers, PH-Heidelberg Teacher Education Math, Pre-Service Teacher Math Education, Proof and Works | Leave a comment

Milgram Russia uses implicit Peano Axioms from Grade 1

Professor R. James Milgram of the Stanford Math Department is extensively involved in math education at the elementary school level. Milgram stresses that in Russia, the elementary school math program is better devised than in the US.  The math program … Continue reading

Posted in 21st Century Peano Addition Authors, Addition Proofs, Difficult Math Problems for Grades 1 to 3, Multiplication Associative, Multiplication Commutative, Multiplication Distributive, Multiplication Proofs, Peano Axioms, Peano Axioms Implicit First Grade, Proof Addition is Associative, Proof Addition is Commutative, Recursive Inductive Definition of Multiplication, Recusive Inductive Definition of Addition, Russian Math Education, Use of x early | 1 Comment