- handout course description
- personal info sheet.
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Mathematics that studies topics related to visual experience. [Geometry, Topology]
- Visualization of mathematics that is not inherently visual.
- numeral: a symbol for representing a number
- Number: a form of universal language to describe anything/ physical things/ concepts related to measurement
- such as V, 5, five, cinq, chamesh, cinco
- Frege distinguished numerals from numbers in the late 19th century.
- We can compare numbers... for instance we say" 3 is less than 5"
- Is 3 smaller than 5?
- Numerals are symbols (visual or linguistic) that we use to represent numbers.
- We use numbers to measure (lengths) and put things in order (which was first).
- Another common visual representaion of numbers uses the number line.
- ___.___.___.___.___.___.___.______
- 1 2 3 4 5 6 7
- We visualize equations that give relations between numbers with graphs in the coordinate plane.
Here there numerals are connected to points, so the points are considered to visualize the corresponding numbers.
3x + 2y = 6 is visualized by the graph of a line ...
