This class we finished up the ideas explored in class 6. We reviewed all of the ideas of the past few weeks and proved that there are more real numbers between 0 and 1 than there are counting numbers. Vi Hart provides a summary of the work we have done in this video. We then… Read More Class 7: Wrapping up Infinity
This last week before break, we went more in-depth into infinity. We did a coloring exercise and learned that we can add up infinitely many numbers and still get only 1. You can find the exercise here. We talked about why 1/3=0.333333… and why 0.9999999…=1 (even though that seems nuts). We also watched this Vi… Read More Class 6: More Infinity
Your second project involves infinity. A full description can be found at this link!
In class today, We started by talking about infinity and the different images and ideas that come up when we talk about the infinite. Then we watched a Vi Hart video “Infinity Elephants” that provided an introduction to some important ideas, while looking back at fractals. Particularly, Vi mentioned that there were different sizes of… Read More Class 5: Introducing Infinity
Make a square out of paper, and then trace around it so you can remember the size. Cut the original square in half. Then cut one of the halves in half. Then cut that half of a half in half. Keep going! With your first cut, you produced a half of the square. What part… Read More Exploration 6: Cutting Squares
This semester, I have been using BlendSpace to hold all of the videos, images, and links that I share with this class. We do a number of hands-on activities in each class, so those aren’t captured in these “lessons,” but a generally post a link to a description of a similar activity for student who… Read More Math | Art | Design, Spring 2016
I want to start the week off with the “droste effect,” which is when a picture appears within itself. It’s an example of “self-similarity,” which we will discuss a little later in the semester. It’s also an example of an infinity which gets infinite small, just as happens with Zeno’s dichotomy paradox and the coloring… Read More Week 3: Zeno’s Dichotomy paradox, Droste Effect, and bigger infinities
Today’s class is about meeting each other, getting to know the class, and INFINITY, our first topic this semester. Along the way we are going to hit some of the following: Infinity Elephants by Vi Hart. Can you make an infinite caravan of elephants, camels, or anything else? Hilbert’s Hotel, which you can read more… Read More Week 1: Talking Infinity