Methods of teaching multiplication and division

What follows is a compilation of all the ways I've found to teach multiplication and division, excluding the speedy methods found here. These methods span various grade levels. For example, multiplication by repeatedly adding is taught long before the partial products method.



  • Long division
  • Repeated subtraction, abstractly, or by repeated jumps on the number line
  • Arrays and equal groups
  • Exploding dots, as seen here