Demystifying Elementary Math (from a Secondary Perspective)

 This one's for all the parents facing the "why...?" and "how...?" and "why not...?" and "do I have to...?" questions.  And for the teachers (and parents) who are uncomfortable with admitting they aren't the omniscient geniuses we'd like our kids (and students) to believe we are.  There is a LOT of power in the word YET.  And even more power (in my opinion) in admitting you don't know. Students of all ages need to know that they don't have to know everything - and the people in their lives don't know everything either.  Try it out.        It's OK to not get it, yet.        It's OK to not know. Let's find out together. 

I'm guessing that if you grew up around the same time I did, you experienced a similar progression. Master the 2 dimensional shapes and their measurements (perimeter and area) and then move on to the 3 dimensional shapes and their measurements. Throughout this process, at least in my elementary years, I'm fairly certain not a single elementary teacher I had in front of me had a degree (major or minor) in mathematics. So they did what they'd always done, show some pictures in books and talk about formulas and calculations. Once we made the leap to 3D though, my brain really struggled to "see" what was on the paper as taking up space - even with the paper nets we cut and taped into 3D objects. Do you suffer from the same affliction I do?  I can't say that my parents didn't ask me to do this often enough or not, but I certainly needed some more practice!  Don't shy away from letting your child do this kind of spatial thinking. Have them order containers s...

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...

  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: 

Metacognition: a buzz word that educators like to throw around Metacognition: thinking about thinking Yes, that's a real thing teachers are asked to do on a regular basis. We are expected to anticipate errors our students might make before they make them. We are constantly on the look out for students who have a different approach than their peers to a problem. And now we're seeing these "metacognition" problems showing up on standardized tests for all ages. The practice of explaining your thinking can be a tough one to wrap our heads around as adults. It feels easier to say "It just IS the answer." But we want to dig deeper into HOW or WHY you arrived at your answer because It's Not New, It's Meta

  Estimation is the one task from elementary school math that drove me CRAZY! Why would I estimate if I could just FIND the answer OR measure OR count and find the "REAL" answer.  It's taken awhile, but I've come around to appreciate this skill a bit more - check out why I think estimation is a reasonable (and important) skill for students of all ages to practice and hone to be better consumers of data.   Estimation is Reasonable What do you think? Do you estimate regularly? Do you ask your children to estimate?