The distributive property of multiplication enables children and adults to easily calculate multiplication facts – even if they’ve forgotten them because it’s been 30 years since elementary school! Oftentimes, skip counting and flashcard drill (or something similar) is the only way multiplication is taught in schools. Neither of these provides as clear of an understanding of our number system or how numbers relate as the distributive property. Using a visual model and manipulatives like Cuisenaire Rods provides a way for children to interact with multiplication in a whole new way.
An easy way to think of the distributive property is to just imagine (or actually do it with the Cuisenaire Rods) breaking numbers into chunks that are easier to calculate. This is represented quite clearly in this free math tutoring video where I introduce a little girl to the concept. Not all children will catch on this quickly, but I can guarantee they will catch on quicker with this method than with methods that emphasize drilling and memorization over understanding.
Most people are just taught that if you switch the numbers in a multiplication problem, the answer is the same. This free math tutoring video shows you visually in two ways WHY that is true. For the visual and kinesthetic learners out there, those who struggle with dyslexia or dyscalculia, or those who think they will never be able to understand math, this is how it should be taught!
The area model shown in this free math tutoring video is the perfect way to introduce multiplication to children. It is a clear, visual representation without the abstract symbols getting in the way. For some children (and adults!), it will literally feel like their eyes are being opened to what it all means. I wish I would have been taught this way as a child. I feel like I was taught how to navigate the world of numbers as though I was blind when someone could have just told me to open my eyes and SEE it! Using Cuisenaire Rods in addition to doing multiplication by forming rectangles will bring about clear understanding in children who otherwise would not get it.
