Pre-Algebra New Math Done Right Peano Axioms Associativity of Addition (Pre-Algebra New Math Done Right Peano Axioms Single Focus Book 3)

This book is a very short book of approximately 10 pages when printed that covers just the Peano Axioms, Definition of Addition, and the Proof of the Associativity of Addition by Mathematical Induction. There are 65 location points in the ebook previewer.

This is among the easiest proofs by mathematical induction in the Peano Axiom system. Learning this proof will transition the student to doing proofs. This is mathematical thinking in the most elite sense. So in 10 pages you can be there.

If you learn the proof of associativity of addition for natural numbers, then you are doing mathematical thinking in the most rigorous and abstract sense. You have already transitioned to proof once you learn the proof of the associativity of addition of natural numbers.

This proof uses mathematical induction. But it does not have the complicated algebra formulas that Lance Rips' psychology research at Northwestern University has shown students find the biggest block to learning proofs by mathematical induction.

Proof by mathematical induction is the fifth axiom of Peano. This is the Proof Axiom.

This book is ideal as a gift for students who aspire to be a mathematical thinker and not just a mechanical plodder.

This book is idea for math teachers looking to bridge the gap from inductive reasoning to full mathematical induction.

Many computer science courses teach the Peano Axioms and proofs at university webpages. Typically, these are done in a way difficult for most students. This book will ease that burden.

The text is highly structured to identify the stages in a mathematical induction proof. These are set up, base step, hypothesis step, induction step, and conclusion step. This 5 step method is the best for teaching mathematical induction.

(Extra line added in induction step proof of associativity on October 1, 2012. Accept my apologies for not including it.)