Building Multiplication Proficiency & Understanding

Math proficiency refers to how quickly and accurately students can answer simple math problems without having to compute an answer from memory with no “steps” or calculations required. Research has shown that proficiency is a necessary dimension of math mastery associated with robust understanding and flexible problem solving. Students, particularly students who find math challenging, are likely to experience a high cognitive load as they perform a range of complex mathematics tasks. Multiplication is fundamental to success in many areas of higher mathematics: multiples for common denominators, factoring algebraic equations, trigonometry, etc. When a student who faces challenges in math can recall multiplication facts with greater ease, they can concentrate on the more complex aspects of a problem. We will review how learning and using multiplication vocabulary can strengthen understanding and build connections between concepts. The techniques we will explore are closely connected to key multiplication concepts such as the commutative law and fact families. We will look at how to support students to build proficiency in recalling the multiplication facts using patterns, the multiplication grid, and games. Templates for the ideas and games shown in the workshop will be shared.