Category Archives: Proof and Works

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

The Axiom of Proof

Mathematical Induction is not just a technique but a fundamental method of proof for the natural numbers.  The natural numbers are 0,1,2, and so on.  The axiom of induction is what handles the and so on. Axiom of Induction If … Continue reading

Posted in Axiom of Proof, Mathematical Induction, Proof and Works | Leave a comment