The study of the amazing patterns, order, and relationships in the created world are a revelation of the intelligence of its Creator. The mathematical can be seen in science, music, language, art, and logic. In the grammar stage physical counting develops into grouping, place value, and combinations.

This foundation provides for the developing in the logic and rhetoric stages the understanding of dimensions, operations, expressions, and their applications. Through games, puzzles, codes, measurement, and history, the depth of mathematics is kept in full view. All through the extension and application of these concepts, mathematics should be the occasion for experiencing beauty—beauty in the patterns and relationships within the mystery of quantification in creation.