Division - the subject that brings us all together

Ah...division. The 4th and final fundamental operation of elementary math. But I bet when I said that more than a few people were sent back to the days of long division being brutal. I think just about everyone can agree, long division was a HIGH hurdle of elementary school.

While division is the partner to multiplication (more on that later), for whatever reason it's also Cinderella's ugly stepsister that nobody wants to acknowledge is really there.

Division is incredibly applicable though - need to give each of your kids an equal number of cookies from what's left in the package so nobody fights? Or do you need to figure out how many more glasses of wine you can get from what's left in the bottle... Either way, division is real life.

Luckily, instead of pushing students to just memorize more number facts (which is useful - to a point) we teach multiple ways for students to arrive at their answers, giving them some number dexterity. Your student probably has a stronger ability to "see" their math problems than you ever did in elementary school, and that's because we stress that now early and often. Story problems are no longer for the end of every assignment; they are now the driving force behind WHY students learn what they do.

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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