Friday, January 06, 2006
What a 6th grader can do with a rubber band...
We did the rubber band pantograph in my 6th grade class. Take two rubber bands tied together. Hold fixed one end of the combined band. Put a pencil through the loop at the other end and draw with that pencil such that the knot in the middle traces over a shape. If done properly you draw enlarged version of the shape. Kind of a neat idea but there are a few snags:
- One very bright boy in the class is a total klutz - very poor hand-eye coordination. This activity was a real trial for him
- In general handing out rubber bands to 6th graders is asking for trouble. Trust me on this one.
- The resulting figures are pretty awful; it is hard to draw much of a conclusion about size and area.
We will try it again next week, this time using a ruler. Measure from a fixed point, double (or triple) the distance and make a new point along the same line. This should give us figures accurate enough to reach valid conclusions about scale.
…..
A few blogs back I mentioned a Dad whose solution to a son that wasn't interested in working outside of class was to yank son from my advanced class. I guess the boy told his father he REALLY wanted to stay in the class, so Dad asked for another meeting. Things had a completely different tone this time and the boy is back in my challenge group.
My classes by the way are officially "study groups", since you can't have an uncertified (oh the horror) person teaching a class. I am not even in the union (oh the shame).
- One very bright boy in the class is a total klutz - very poor hand-eye coordination. This activity was a real trial for him
- In general handing out rubber bands to 6th graders is asking for trouble. Trust me on this one.
- The resulting figures are pretty awful; it is hard to draw much of a conclusion about size and area.
We will try it again next week, this time using a ruler. Measure from a fixed point, double (or triple) the distance and make a new point along the same line. This should give us figures accurate enough to reach valid conclusions about scale.
…..
A few blogs back I mentioned a Dad whose solution to a son that wasn't interested in working outside of class was to yank son from my advanced class. I guess the boy told his father he REALLY wanted to stay in the class, so Dad asked for another meeting. Things had a completely different tone this time and the boy is back in my challenge group.
My classes by the way are officially "study groups", since you can't have an uncertified (oh the horror) person teaching a class. I am not even in the union (oh the shame).
// posted by Old Math @ 3:31 PM 
Comments:
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Yes indeed. Thanks for the follow up, I thought that comment string had been hijacked by diesels and hybrids.
In class this problem prompted a flurry of speculation about warp drive, worm holes and other faster than light solutions. Not a bad way to end a math class.
In class this problem prompted a flurry of speculation about warp drive, worm holes and other faster than light solutions. Not a bad way to end a math class.
Thank you. Glad your class liked the problem. I had the problem presented in my senior year in slighly different form. Our teacher presented it as a prelude to the three weeks of calculus that capped the end of what was known as "senior math" (now known as pre-calc). They didn't have calculus in our high school; in fact not many did in those days.
I agree your comment stream was hijacked. Mighty rude; ever ruder that the owner of the blog let it happen.
BG
I agree your comment stream was hijacked. Mighty rude; ever ruder that the owner of the blog let it happen.
BG
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