The method is different from other math books because students are expected to create and solve their own math problems. They can go as deep and difficult as they wish in order to challenge their understanding and knowledge of numeration.
EXAMPLE: Principle #1 states: “Numbers can be written in more than one way and still have the same meaning.” Below this principle, an example shows three dots, the number 3, the written number three, Roman Numeral 3 and two different languages of “three”. The student is then challenged to write twelve numbers in at least three different ways. Beginning students may write simple numbers, such as 1 – 12, I – XII, and “one” through “twelve.” More advanced students might challenge themselves and write numbers such as 6,547, VIDXLVII, and “six thousand five hundred forty-seven,” etc. As previously stated, principle-based math allows students to go as deep and far as they desire.