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, fact from fiction in a way that makes them better people overall (or better game show contestants!).

So, would you stick or switch? Trust your gut or trust the data?

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 ...

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.)

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!

Demystifying Elementary Math (from a Secondary Perspective)

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