Pre-Algebra New Math Done Right Peano Axioms

Pre-Algebra New Math Done Right is the book that 1960s era New Math should have done but didn't. 1960s era New Math failed to focus on how we understand order and addition of natural numbers. Richard Dedekind in 1888 worked out all the elements for understanding order and addition of natural numbers. New Math in the 1960s provided some pieces of that such as set theory, ordered pairs, relations and functions.

However, New Math in the 1960s did not include how to define addition recursively....