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 ...

It's about the learning not the grade.

I hope you (and the children/students in your life) had the chance to watch the Perseverance land on Mars recently. Or see the Dragon launch last year. Every single one of the astronauts, engineers, and technicians had years of schooling to prepare for THAT MOMENT. Every doctor or nurse has been trained through lectures, tests, and field experiences. Something that strikes me every year around this time, as our seniors are making college decisions and our juniors are taking the ACT and beginning the application process, is that not one person in any interview I've ever had has asked me about my grades or GPA. We have tied up so much time and energy into thinking that only the best survive, but we KNOW that can't be true. All that does is overstress our teens and lead them to believe that successful people never struggle. That is a damaging belief - especially when internalized by students who are struggling. Here's my take on grades:

Tools for Now, Learning for Later

That quote, is SPOT ON! I don't disagree in the least. (Bet you didn't expect that, did you??) However, I don't know any elementary school students who are sent to the grocery store to do the weekly shopping on a budget alone. Number lines, hundreds boards, ten frames, algebra tiles, and all the other physical representations of math and numbers give students something concrete to set the stage for learning. We move away from each of them fairly quickly as students become more fluent in their math facts, but they provide a perfect physical and visual reminder for students to mentally refer back to as they learn and grow. We all encourage our kids to try new things - consider adding new math strategies to that list! (And cheer them on, just like you would if they were trying a new sport or instrument.)

Demystifying Elementary Math (from a Secondary Perspective)

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