I am so impressed by
@mathsjem
's 'A Compendium of Mathematical Methods.' Why hadn't I ever thought of presenting binomial multiplication like long multiplication? I want to figure out ways to share this stuff like this with my students.
@mathsjem
Here is my first draft of a kid-friendly activity about this method. Ideas or revisions are welcome! Much thanks to
@mathsjem
's book for the strategy.
@mpershan
@mathsjem
Where polynomial work has direct analog in arithmetic, use it!
I write
21
x 32
ask them to walk me through the steps. I make mistakes, forcing them to instruct me about place value.
42
+63 is wrong!
Then multiply (2a+1)(3a+2), notice how nicely partial products match...
@mpershan
@mathsjem
When I teach polynomial long division, I often expose a few high school kids to arithmetic long division for the first time.
There's so much hate out there for a great way to practice estimation, multiplication, and subtraction, and reinforce place value and numbers sense.
@mpershan
@mathsjem
I always used area/box to explain this, but I like the connection to the standard mult algorithm. And according to Amazon my book will be here tonight.😀
@mpershan
@mathsjem
One of my students “invented” this multiplication method in class a few years ago. I was blown away! We now refer to it as Jared’s method”.
@mpershan
@mathsjem
I love this method. My kids have trouble doing this but I keep pounding. It is so much like their lower grade multiplication. I have been using this for about 5 years. I just looked one day and said I can do this just like multiplication. My weaker students love this method.
@mpershan
@mathsjem
This is one of several methods that I show Ss. This shows that if they can multiply in grade school, they can still multiply now. Then I let each year pick the method for the year. Even if they choose another method, they may use this for trinomials.