When all the technology in the world won't help
Summary: A masters thesis fell into my lap earlier this year when I switched second semester classes and taught another section of informal geometry. I decided to look at the section I taught in the first semester with an inclusion teacher versus the section I was teaching second semester.
A masters thesis fell into my lap earlier this year when I switched second semester classes and taught another section of informal geometry. I decided to look at the section I taught in the first semester with an inclusion teacher versus the section I was teaching second semester. I didn't have inclusion support, but I decided to use technology (Geometer's Sketchpad and Excel) to supplement classroom instruction. My goal was to see which class performed better on tests and the final with a followup on their standardized test scores next year.
Seems reasonable enough. However, while the first class wasn't exactly a group of high achievers (informal geometry is a conceptual approach that we take for students who really struggle with math; we avoid proof entirely, skip the trigonometry identities, and gloss over analytic geometry), most were willing to put in the effort, especially with one on one help.
The second semester class, however, was a different breed of cat. A third of the students needed weekly reports for their probation officers, a third genuinely need inclusion support, and a third just need to stay conscious. For these kids, technology just got in the way of forcing the math into their brains. I could have spent a week just getting them all to use Sketchpad correctly, let alone getting them to use it for visualization. A simple exercise to verify the Pythagorean theorem turned into a drawn out afternoon of forcing kids to follow basic directions. For those who made it through the directions, the geometric proof was completely lost, despite being completely visual.
This is in complete contrast to a pre-calculus class that I usually get to sit in on (the teacher uses my room during my prep, so I often get to observe his lectures). The teacher is a master of integrating graphing calculators to illustrate concepts without allowing students to rely on them as a crutch. The calculators simply become one more tool, like a whiteboard, a handout, or a group activity, and the kids switch naturally under his instruction between graphical, analytic, and mathematical methods of problem solving.
My point is that I'm not giving up on technology in the classroom. Obviously, I'm no Luddite. However, my thesis is getting rewritten to look at non-technological approaches for students who really struggle with geometry (and their behavior). There is a point where the tech gets in the way and just can't be turned around to help the kids. Talk back below and let us know where your best and worst classroom tech experiences have occurred.
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Talkback
Small Town Budgets
to teach non-technically. I'm a product of one small public
high school two-hours from DC that couldn't afford a
Calculus teacher. Solution? They gave us a telephone and
a TV (1986) and told us to switch the local PBS station.
Yes, we learned via Virtual Communication! Problem was,
the telephone didn't work most of the time. Needless to
say most of the class "moved on" with only two students
who returned after Ma Bell "fixed" the problem weeks later.
Now, having said that - my most favorable teaching
experience was Fall 2006, at a very old University inside of
DC, where I studied Grad-based CL/NLP with predicate
calculus/FOL as primary mathematics. I physically
attended, listened, took hand-written notes with a class of
~15 students.
So, from this, it's hard to judge for every student in this
situation, but from view a smaller classroom with a person
standing in front, with only a whiteboard, and source code
print-outs, was more effective/favorable to allow me to
explore the possibilities in my own mind.
As for my geometry in high school? A serious joke, the
teacher was a chain-smoker, black bags under her eyes,
meaner than a bulldog, and was going through a divorce
the entire time. Funny how those angles work (or not) for
the subject... Won't elaborate more than that. :)
Good article!
With the OLPC, small districts WILL be able to give each student a computer
There will be a turning point when the computers get cheap enough to pay for themselves, by eliminating text books. The advantages of having kids grow up with computers are many. We need to do that right here in the good old US of A to be competitive in the future.
I don't buy the textbook elimination argument.
When I see a real bid from a real provider, I'll be amazed if it isn't a LOT more than the cost of the books that system replaces. I know the one unit could replace several books, over several years, but seriously, I don't think it will work; the price will be higher than it should because everyone wants a piece of the action; there are just too many things that can go wrong, and the TCO for the whole thing is probably going to cost us MORE money than books.
Time to bring out the good ol' rulers, protractors, and compasses.
Computers and calculator are often used after the concepts are taught, not before. It's tempting to use something simply because it's "high technology," but the truth is that just because it's high technology doesn't mean it's the right tool for the job.
Not all problems can be solved by throwing computing power at them. Unfortunately, that's something we tend to forget sometimes.
Sure, kids that did not grow up with computers are a lot more comfortable
If you have kids that grow up with computers, it will be just as hands on to draw with computers as with graph paper. And, with computers you can do a lot more, generate a lot more high level constructions that is possible with graph paper.
By the way, I was the last group of engineering students to use only pencil and paper for "Freshman Engineering Graphics". And many of the later courses I took we had to do things by hand. I did not grow up with computers.
On the downside, though
Imagine not developing the natual ability to draw that some of us have as we learned to draw on the computer, where much of the talent was from the software, and not our minds.
agreed (nt)
Very good post. This tells us that introducing technology is a process that
If we had kids that were exposed to computers at home prior to elementary school, then had computers integrated into their 1-6 education, and finally continued with computer all the way through high school, it would be easy for you to make the course a lot better with technology.
I think the sooner we can integrate computers into education in the US the better. Starting with grades 1-6. As you are noticing, trying to use if for older students that did not grow up with it can a disaster.
But, thanks for doing your best with some challenging students.
A good article, and interesting thought
RE: When all the technology in the world won't help
I struggled with olane geometry and my teacher probably struggled with my behavior, but some better instruction would have helped. I don't care whether it was a chalkboard, handouts, overhead projections, whatever, it was the teacher's (in)ability to teach math, versus my (in)ability to absorb and understand what she was saying, that made the difference. Not the technology
Phalbe Henrikson
P.S. She had only a chalkboard.
Plane Geometry
PH
Okay, I'll bite
teacher"?
Simple
identified special needs pulled out of the class for
separate instruction by the special ed teacher, the
special ed teacher goes into the classroom and
"team teaches" working with the students in the
regular academic class. This keeps everyone in
sync with the content being taught and allows the
special ed teacher to provide more support when
the student comes for additional academic
support. Nothing "new age touchy feely crap"
about it. Makes more sense.
RE: When all the technology in the world won't help
gzimmerman