Have you’ve encountered the student who doesn’t study the multiplication facts? Or the student who learns one multiplication table and then seemingly forgets most of the facts? Or the student who studies but has a hard time recalling the facts?
I’m sure you have! We introduce multiplication in second grade as counting groups by a certain number (2, 5 and 10). In third grade, we formally introduce the concept of multiplication through equal groups, arrays, area model, etc. And for the most part, most students “get” multiplication as a concept.
But there eventually comes a time when the math will get more complicated (and maybe harder). So as a mathematician, you want efficiency. Learning by memory all the multiplication facts will make you a more efficient mathematician when the math does get more complicated.
Do We Just Have Them Memorize?
So now we are back to the students and memorizing the multiplication tables. There are lots of tips and tricks and strategies for memorizing the multiplication facts. I’ve even developed resources for my students that give them tips and strategies for remembering the tables.
But the problem with memory is that for it to be useful, you should recall easily. So beyond teaching memorization tips and strategies for the multiplication tables, what else can we do? How can we ensure students learn those facts if they can NOT recall from memory?
Teach them strategies for fluency! Let me show you some mental math strategies that you can teach your students to use with memory is not enough! But first, what exactly is “fluency?”
WHAT IS MULTIPLICATION FACTS FLUENCY?
The Common core DOES specify that memorization of the multiplication tables is an expectation. But that does not mean that meaningless memorization is the route to go. We want students to understand multiplication conceptually as well as recalling facts. In the Common Core, there are various terms used: know from memory, be fluent in, demonstrate fluency, etc. It even states that “by the end of Grade 3, know from memory all the products of two one-digit numbers.”
Now, let us clear up some terms. To know from the memory means to recall from memory a fact. It is remembering.
Fluency is more complicated. It is NOT the instant spouting of memorized facts. Fluency is the combination of recalling from memory OR using patterns and strategies when memory is not enough which then leads the student to use mental math strategies for multiplication.
WHAT STRATEGIES SHOULD I TEACH THEN FOR FLUENCY?
The mental math strategies used to teach multiplication fluency are grouped into two categories: Foundational Strategies and Derivative Strategies.
The Foundation Strategies are the first strategies to teach and use. They are the mental math strategies of counting by a number (also known as skip counting), knowing the square numbers, and knowing the Zero and Identity Properties of Multiplication.
The Derivative Strategies build on the Foundation Strategies. They teach halving and doubling, adding or subtracting a group, using a nearby square, the patterns for the nines multiplication table, and the Commutative and Distributive Properties of Multiplication.
What are the strategies?
The strategies are similar in use to the addition strategies you would teach students learning to add. They include decomposing a number, doubles, doubles plus one, adding one more, etc. They are mental math strategies that are explicitly taught and practiced with pencil and paper first. After that, they become part of the mental math repertoire for adding.
The same applies to these multiplication strategies. They are explicitly taught and practiced with pencil and paper until the student can use the strategy in mental math.
Are you eager to see the rest? Then download the FREE Guide to Achieving Multiplication Fluency! It’s a 15-page guide that explains all the strategies. It has some suggestions for teaching the strategies and how to assess strategy use. It’s FREE and you can download by subscribing to my newsletter. Click HERE or fill out the form below
LINKS TO PARTS 2 AND 3 AND A NEW RESOURCE!
Here’s the link to PART 2: Foundation Strategies.
Here’s the link to PART 3: Derivative Strategies