Arithmetic and Number Sense: The 'Basics' of Math We Are Never Taught

Arithmetic and Number Sense is designed to be a comprehensive introduction to arithmetic that will be expanded upon throughout Zero Angel's Mathematics. Although considered "basic" by some many people struggle with this, or worse, believe they understand the material only to find at a later date that something is missing.
Zero believes that the struggles we have with mathematics are due to the way we are taught it. Memorizing will get a student through a class, but understanding will get them through life. Here, our goal is to develop the skills of arithmetic and foster a sense of how numbers interact and relate to each other so that we will be prepared for the material to come.
Appropriate for adult students, advanced young students and especially relevant to teachers of arithmetic and "basic math" no matter the sophistication of the student. If it is important for the student to understand the behind-the-scenes of arithmetic, it is imperative for the teacher to understand it.
About the Series:
Zero’s Mathematics is a series of “math help” sections designed to take the reader from no knowledge of mathematics through calculus. Although best used in conjunction with each other, they are split up so the reader that knows where their gaps and misunderstandings lay may only acquire the information they are looking for and not be forced to purchase unnecessary information.
Zero’s Mathematics is one teacher’s attempt to teach the mathematics that should be being taught to students of math today. Math classes everywhere are teaching students to do long multiplication without teaching why we add; teaching cross multiplication without asking why. “Why” is one of the most important questions in mathematics and by teaching mechanical processes without considering their place in mathematics as a field we set students up to be no better than machines.
Unfortunately, this means when confronted with advanced problems, students have no chance of success. Zero always says, "Memorizing will get you through a class, but understanding will get you through life." This is his attempt at fostering understanding.