Thursday, January 22
Note : There is a smaller section of Math 103 (25-35 students) - with a more conventional organization and seats available:
24606 MATH103 Contemporary Math MWF 0800 0850 ART 027 Triana, Lourdes
More Introduction to course organization.
Another example of "visual Math":
My Name: Martin Flashman
How to start a letter to me: Hello ___________
How many different openings are possible?
We can visualize this problem with a
This visualization allows us to count the possibilities easily...
seeing there are 8 possibilities for each of 4 title branches
so that the total is 8*4 = 32 possibilities.
This is an example of a visualization used to understand and solve a problem that initially is not connected to anything visual .
Miscellaneous: Some topics we will study.
The film lists as a guide to the course topics.
The color problem.
The Sphere and the Torus.
Who first showed the earth was a sphere?
Pictures from "outer space"
Perry.Polar expeditions. Air navigational history
Flatland as social commentary/satire.
Measurement and the Pythagorean Theorem (PT) [1.1]
Measuring angles, lengths and areas.
Squares, rectangles, parallelograms and triangles.
Dissections, cut and paste methods of measurement.
Cutting and reassembling polygons.
The Square Me Puzzle.
Pythagorean Activity Sheet
Virtual Manipulative for PT.
Pythagorean Theorem and proofs
Over 30 proofs of the Pythagorean theorem!
Many Java Applets that visualize proofs of the Pythagorean Theorem
Show video on PT
Puzzles and Polygons [1.2]
Flatland and the plane
The triangle, quadrilateral, pentagon, and hexagon.
More on measurements of angles and areas of polyons.
Activity: 1.2 Ex. 4, 5, 6