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Topic:
Re: where's the math?
Replies:
1
Last Post:
Apr 21, 1995 9:26 PM




Re: where's the math?
Posted:
Apr 21, 1995 9:26 PM


Ted! Lighten up! Just because *you* don't know a connection between the Sierpinski Triangle and Pascal's triangle doesn't mean there isn't one.
Here's a homework problem for you:
Write out a large section of Pascal's triangle. Pick a prime (say, 7). Highlight all the entries of Pascal's triangle that are divisible by 7. Find a pattern. Explain why it happens. What would you get if you used a really big section of P's triangle, say, 100 rows or more? What would happen if you used *all* of Pascal's triangle?
p.s. Pascal's triangle was known to the Chinese many centuries before.
p.p.s. Last spring I was working with a class of 6th graders who had just been studying ancient Greece in literature and social studies and art. I decided to introduce the Pythagorean theorem informally, and I thought they would be intrigued to see Phythagoras' name written in Greek. They pracitcally jumped out of their chairs with excitement: they could read it! So, yes, it does sometimes help to discuss Greek drama.
Susan Addington (addington@gallium.csusb.edu) Math Department, California State University San Bernardino, CA 92407 World Wide Web: http://www.math.csusb.edu/
On Fri, 21 Apr 1995, Ted Alper wrote:
> Wait! What do many of these connections mean? For example, what was > the connection made between the Cantor Set and Pascal's Triangle? > > (I can see a connection between the Cantor set  as a totally > disconnected set  and continued fractions in that continued > fractions are a natural representation of the product space N^N, and > the cantor set is a natural image of the product space {0,2}^N  but > I don't see what this has to do with the subject at hand). > > Some of these connections seem a bit tenuous. Does an English teacher > get excited by "Less than Zero" because it's written in the same > language as Shakespeare? >



