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

The sum is the same, no matter how you got there; so how'd you get there?

Yet another example of adults saying "But there's a better way..." No one would argue that you, adult, can add probably faster than an elementary school student. We are in the process of building UP TO that speed and accuracy. By encouraging your child to imagine the groupings, you are building their imagination (draw whatever you'd like!), their math skills (count up, make 10s), and their mental flexibility ALL IN 1 PROBLEM! Check out my NEW addition video for a little more about how this problem is VERY similar to what many adults already do! Making sense of a problem IRL isn't about having an algorithm to write out your work. Instead it's about applying what you know to a REAL situation. This is what most adults think of when they see an addition problem: But this is what many ...

There's HOW MANY ways to add 2 numbers?

To answer the title question - a LOT! We take for granted that most of us adults can add quickly because we "know our math facts". For many of us that may be true, but I would bet that the vast majority of adults out there do quite a few of the addition strategies your children are taught in elementary school without even knowing it! This video addresses some of the addition strategies that I've seen frustrating parents. Addition Video As always, let me know if there's a topic you'd like to see Demystified!

On the Line: Fractions, the Real F Word

Drawing a picture is one way to envision a fraction problem, but it certainly isn't the only way. Another strategy for dealing with fractions is to utilize a number line. A number line is really the school version of a tape measure - and every carpenter or contractor knows their tape measure fractions! If we expose students to the number line early and often, then as they start to investigate negative numbers the concept will be clearer. We aim for students to be flexible and nimble in their thinking, so if one pattern or strategy doesn't work they don't give up - instead they have another tool in their tool box (perhaps a tape measure?) to use.

Demystifying Elementary Math (from a Secondary Perspective)

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