here is a teaser, and a link to the post.
Sometimes I inadvertently come up with a math problem and can’t seem fall asleep until I solve it. So it happened last night.
It started with my unit on limits. I plan on giving the students a math problem in which they fill in half of a square, half of the remaining area, and so on and so forth until they see that they get arbitrarily close to filling in the whole thing. Mathematically, this means that
orI made it into a proof without words for the visually inclined:(note: the different color shading is to differentiate iterations)
and finishing up with .......
Really nice... so check it out