Revisiting Multiplication

If you watched my first multiplication video (here if you haven't yet), you'll remember that I said there was a high school application for the area model strategy of multiplying.

We're going to take a look at that today. Since many parents are currently in this situation

trying to recall what they can remember about high school math.

For many parents, who do remember factoring quadratics from their high school algebra days, it probably wasn't their favorite memory. I would bet that most people factored using the tried and true "guess and check" strategy - which works great IF you have a really strong handle on your multiplication facts. If not, students struggled and were likely told that "upper level math" just may not be for them. When in reality, many of those struggling students struggle because they need to SEE WHY something works.

When we connect multiplying (FOIL if that rings any bells) to factoring in 1 cohesive process, students can see that the two are directly connected AND they have meaning to WHY they work the way they do.
Check it out.

Comments

Homework = Tears? What's the upstream problem?

Tell me if you've heard this one before... Parent and child at the table working on child's homework. Child becomes frustrated and begins to cry Parent becomes equally (or more) frustrated by the tears/the assignment/both. Sound familiar? It's pretty common, but let's ask a new question - what's the upstream problem? Not familiar with the idea of "upstream problems"? It was new to me until very recently - but the best description I've heard is this: There's a town in which every evening a child washes up on the banks of the local river. Every day the fire department rescues the child and is lauded as heroes. One day a new fire chief takes ov...

Keep, Borrow, Change...Right?

Subtraction - Take Aways - Whatever you call it this is the first "big" hurdle for many students in a long race of mathematics. It turns out that this first hurdle is often the first time parents seem to get beyond frustrated with the MANY ways students are presented with solving a subtraction problem. All of the skills you'll see in this video are essentially shortcuts that many discover on their own through mental math and practice. By presenting them to students at a young age they become more and more comfortable with numbers and their reasoning and number sense improves overall. Enjoy!

Cognitive Dissonance - adapting to new information

The last year or so has shown us all a lot about the world we live in and the people we share it with. It's interesting to see how tightly individuals may cling to ideas or beliefs that have later been shown to be inaccurate and have been updated. That's the scientific method in a nutshell - make a prediction, test it, learn something, adjust. Math works the same way, but I'm seeing that the "adjust" step is becoming harder and harder for students to make. I had an experience in my Algebra class that sort of outlined the apparent push to reject what is proven in favor of what makes us comfortable (more about that in the video) and it got me thinking. This whole math education thing (or compulsory schooling in general) isn't about cramming kids' heads full of information. It's more about opening them up to conflicting ideas (cognitive dissonance for all you psychology/education fans out there) and giving them the tools to determine true from false, fac...

Demystifying Elementary Math (from a Secondary Perspective)

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