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Tom Vander Ark

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Teaching Math Without Words and Getting Big Gains

Posted: 09/26/11 05:19 PM ET

Mathematical thinking is a problem-solving skill but we use a lot of abstract symbols and words to try to teach kids math procedures. Just look at a textbook or observe a middle school classroom. Our text-based approach works for some students but is confusing and complicated for too many, including those new to the language or with reading difficulties.

"Spatial-temporal reasoning is the ability to visualize spatial patterns and mentally manipulate them over a time-ordered sequence of spatial transformations." According to Wikipedia, "This ability is important for generating and conceptualizing solutions to multi-step problems that arise in areas such as architecture, engineering, science, mathematics, art, games, and everyday life."

It turns out that spatial reasoning is not only a 21st century skill but it's a great way to teach math. Dr Matthew Peterson makes the case in this TEDx video that a visual approach to math is the best way to teach all students -- visual learners, English learners, and struggling readers. Dr. Peterson spent the last decade developing a visual and game-based approach to teaching math. The nearly 900 games, called ST Math, teach math from kindergarten to Algebra 1 by first introducing each math concept as a visual puzzle without words.

The common objective of each game is to move Jiji the penguin across the screen. With no written instructions, ST Math relies on trial and error and student intuition. Students quickly pick up on the informative visual animations and benefit from instant feedback and hints.
The self-paced software is easy for schools to incorporate. MIND Research Institute, the nonprofit developer of ST Math, suggests just two 45-minute sessions each week to complement traditional math instruction. This simple addition has gap closing potential.

ST Math is used by more than 1200 schools nationwide. In randomized controlled trials, researchers from UC Irvine found an impressive effect size. In Orange County, they found that ST math tripled the level of math proficiency growth. Similar gap closing results have been replicated in Silicon Valley, Houston, Chicago, and Las Vegas.

It is clear that removing the language barriers boosts math proficiency. Dr Peterson says, "Increasing test scores is great, but we also want to increase real mathematical thinking." The innovative games train students in multi-step problem-solving by encouraging students to connect the dots in their own heads about how math works. Dr Peterson is driven by the belief that, "All students can benefit profoundly from some opportunities to learn without words at all."

 

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10:33 AM on 09/28/2011
How about that? When you put in charge people who actually know how learning works, (scientists) you actually get statistically significant results from respectable studies. Let's make this free and distribute this in low-performing schools!
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HopeLiesBleeding
Still holding out for a macro-bio
11:23 PM on 09/28/2011
I can't speak to how well this concept actually works in practice, but I do know two things:

1. A scientist can tell me everything I could possibly want to know about how a guitar string vibrates and creates a musical note, but I wouldn't necessarily ask one to sit in for Eddie Van Halen (Brian May's PhD in astrophysics notwithstanding).

2. Distributing this for free most likely goes against everything Mr. Vander Ark stands for. These free ads for educational product are the whole reason he's here.
01:59 PM on 09/29/2011
Your analogy doesn't apply with respect to music, since the ST math program has solid research behind it supporting increased math scores among subjects.

Also, the MIND Research Institute (the creators of the math program) are a nonprofit organization. They probably charge fees now to build up their foundation in the short-run. I could see them giving it away in some form in the future. That Mr. Ark supports this product is unrelated to his work, since (if you read his website) he has blogged about similar digital learning mediums. He can't possibly be affiliated with all of them financially.
02:00 PM on 09/29/2011
BTW, we CAN speak about "how this works in practice".

http://www.gse.uci.edu/docs/Kibrick_handout.pdf
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cdecisneros
my micro bio is empty because I went to the micro
06:37 PM on 09/27/2011
PLEASE CHANGE THE WAY WE TEACH MATH!!
04:44 PM on 09/27/2011
Teaching math visually is one of those things that makes so much sense and, yet, appears to be difficult to implement. Why is not entirely clear. Lack of will to change how we have always done it. We start out at the kindergarten level doing a fairly good job with visual math, but it goes downhill quickly.


Tom Nixon
http://BestOnlineHighSchools.com
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inmyhumbleopinion
Vote third party.
02:25 PM on 09/27/2011
That might explain why I did great in geometry and almost no other math class. Geometry is completely visual.
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davidwees
Father. Activist. Canadian. Educational technology
01:38 PM on 09/27/2011
I'd like to be able to try out this system, but it seems to be limited to US educators only.

Also, we should be clear that this is an effort to teach some of the concepts of math without words, and that we should also be making an effort to teach some of the notation and grammar of mathematics as well, but that many students will benefit if we do not combine these two approaches as much as we do now.