(If ordered in digital format, you will get each chapter in separate PDF's as well as the whole book in one PDF for easier use)


This is an extremely detailed and orderly book, starting from the set of 10 digits 0 to 9 and progressing to alternative base systems. Rather than being built on the latest trends in education, this book cuts through the “red tape” of education and explains concepts in terms accessible to all. There are some very detailed quick reference guides on things such as everything you need to know about signs and all the steps to simplifying with exponent rules. The book has natural repetition by building on previous concepts. I created this book over the last 30 years of teaching in public, private, alternative, and higher education schools.

It is an extremely detailed development of math from the set of digits in the base 10 system to power and root rules (these are usually not taught until algebra but should be). The book builds on a very rich vocabulary such as “conventions” and “mutually exclusive” and other important foundational concepts which are usually left until much later. Number theory and properties are introduced and built on throughout the book as needed. In addition, some concepts may be found in several chapters as well as multiple appendices and, in this way, repetition is a natural occurrence as one progresses through the book leading to a greater understanding of those concepts. There are many appendices including the language of math, common errors, fractions and decimals, and sign rules. The book features a ratio section which includes unit conversion by unit cancelling, something students usually learn much later than they should. 

This book is in a carefully constructed order and is meant to be read start to finish, paying attention to all figures and examples. It has many examples. This book is a complete and extremely organized reference perfect for homeschoolers, public or private education students, teachers who want one reference for foundational math concepts up to the beginning of algebra, and as a model for curriculum development. It is meant to be used to master the foundational concepts necessary for algebra, geometry, trigonometry, and other applications such as financial math, and probability and statistics.

Excerpts from Math Explained Book One:

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