Rebecca Zook - Math Tutoring Online

Here’s a great new tidbit from my favorite magazine, The Week:

If you find yourself struggling to solve a complex math problem, try working through it out loud, says Scientific American. Psychologists in Spain found that college-level math students who detailed their thinking processes aloud were able to solve the problems faster and with greater accuracy than their silent counterparts.

The researchers aren’t quite sure why this approach works, says psychologist Jose Luis Villegas Castellanos, only that representing a problem verbally or visually clearly offers “more possibilities of finding the right solution.”

This new finding makes me think of all the times in high school that I’d approach my math teacher to ask for help, only to suddenly realize exactly what I needed to do as soon as I started to explain why I was confused. I’d joke with my teachers about how they radiated understanding so I’d just “absorb” it once I was in their force field. But now I’m wondering if it was actually the process of getting ready to tell someone what I didn’t understand that activated my own inner knowledge.

This new finding also potentially explains why tutoring can be so powerful. In most math classes today, students passively receive information by listening to a teacher present the material to the class and then approach math problems in silent solitude at their desk. Talking things through out loud isn’t encouraged.

But in a tutoring situation, students are forced to talk things through out loud with their tutor. Maybe the process of learning to talk things out is as powerful as the process of “getting help” from someone who is more experienced.

I wish that more people were encouraged to talk things out and draw pictures to solve problems in standard math classes.

This summer, one of my students got to go to Video Game Making Camp. My student explained to me that he wanted to make a video game where you killed vampires by throwing garlic at them. But there was no “garlic” graphic available to build into the game. So he took a graphic of a giant melon and made it so tiny that it looked like a head of garlic!

Part of what I want to teach all my students is how to customize their education when I’m not around. So later in the session, I seized the teachable moment. This particular student has dysgraphia, ADHD, and a really unique brain. I told him that everyone, whether or not they have dysgraphia or ADHD or whatever, has learning situations where they’re not getting what they need. And we all have to learn how to invent our own ways to work around it.

“It’s just like the tiny garlic melons,” I concluded. “Sometimes you don’t get what you want and you have to turn it into what you need.”

So when life gives you melons, make….tiny garlic melons!!!!

Related posts:
A Cosmic Imperative to Customize!
The Downside of Always Telling Students to Try Harder (2)
Ana Reynales earns her BA at age 82

Have you ever looked at the explanation box in your math book and just felt more confused than you did before?

Words: “For any real numbers a and b, if a^2=b, then a is a square root of b.”

Huh? I can tease the definition apart if I slow my reading speed down to about one mile per hour. But usually things make sense to me a lot faster if I see an example.

Example: “Since 5^2 =25, 5 is a square root of 25.”

Phew… so much better!

What I like about Glencoe Mathematics Algebra 2 book is that it includes both kinds of explanations in the explanation box—Words, Example, and when appropriate, Symbols and/or a Model. I love how this maximizes the chances that students can see the kind of explanation that makes sense to their own brain!

For example, I was working with a student from a very progressive high school, but her Algebra 2 book only had verbal explanations, with no symbols or examples. We pulled out the Glencoe book and found the “explanation box” for the concept we were discussing, and it made SO much more sense to her than just the words did.

This book doesn’t go as far as to include examples for tactile or kinesthetic learners (like Math U See does) but it’s definitely a step in the right direction!

Disclaimer: The sequencing in this book has been confusing to many students, so it’s not perfect.

Related Posts: The Best Algebra Book In the World?
I am SO excited about Math U See!

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