How does the literal structure of Arithmetic inform Teachers' methods of teaching? What is the literal structure of Arithmetic? How does that help students understand not just basic Mathematics, but some higher level Maths? How can we make the structure of Arithmetic understandable to the Teachers, show that they can make it understandable to the Students? Many people approach Mathematics as a set of rules that need to be memorized. Having a clear understanding of why the "Rules" of Exponents work, because of how they are ties to Multiplication; and why Multiplication works, because it is ties to Addition; and why Addition works because it is tied to Counting, and Counting is where Arithmetic starts: explains the how one builds to the next in a logical order fashion- the structure of Arithmetic. It is an opportunity to review things that Teachers understand, and show how they connect, as well as learning a few things not usually taught in the many college courses we endured to become educators. Most importantly, it has a visual, potentially hands on approach, we can use with students from Counting to Quantities to help them understand Mathematics.
