Nansea Cross, a math teacher and tutor, shares discoveries that make math easier to teach and more exciting to learn.

Beginning with the multiplication table, she found that all the multiples of all the numbers--taken through a simple process--reveal different patterns. Looking deeper, she realized that these patterns repeat, have symmetry, and all add up to the same reduced number.

The patterns occur horizontally, vertically, and diagonally in both directions --and there are also patterns with perfect squares, perfect cubes, exponents, triangular numbers, and the hundreds...

Nansea Cross, a math teacher and tutor, shares discoveries that make math easier to teach and more exciting to learn.

Beginning with the multiplication table, she found that all the multiples of all the numbers--taken through a simple process--reveal different patterns. Looking deeper, she realized that these patterns repeat, have symmetry, and all add up to the same reduced number.

The patterns occur horizontally, vertically, and diagonally in both directions --and there are also patterns with perfect squares, perfect cubes, exponents, triangular numbers, and the hundreds...