I have only had one encounter where being female has caused a person to doubt my ability to do math. That person was a professor that I talked to while visiting colleges in order to pick where I wanted to go for my undergraduate degree. Needless to say, that professor made my decision to not … Continue reading

# Author Archives: rudzikj

# Communicating Math – Euler Characteristic

One of my favorite areas of math is graph theory. The Euler characteristic can be used to describe polyhedra surfaces, but I am just going to look at how it is applied to planar graphs. Before beginning it is important to note that every cycle that a graph has creates a face. Also, the infinite … Continue reading

# Communicating Mathematics – Book Summary and Notes

Summary and Review The Joy of X: A Guided Tour of Math, from One to Infinity by Steven Strogatz looks at a variety of mathematical concepts. It starts with the basic idea of counting and ends with the abstract idea behind what infinity really is. Along the way Strogatz presents math in a way that … Continue reading

# Nature of Mathematics – Mathematics and Our Numbering System

Mathematics is a way of describing the world around us and finding relationships between things that we can see and things that we can’t. These relationships are not a result of the way our system is set up. How we define components of the relationships would be different, but the fact that they exist would … Continue reading

# Doing Math – Tessellation

A tessellation is a geometric pattern that can be repeated infinitely many times. The following one I created using GeoGebra. Creating this tessellation was my first attempt at using GeoGebra, so it took me a while to figure out a good way to create it. In order to see a more clear picture of the … Continue reading

# History of Mathematics – The Greeks and Euclid

Greek mathematics is believed to be derived from the Egyptians and the Babylonians and was much more sophisticated than previous mathematics. Their numbering system was base 10 and they had ideas of addition and multiplication. The Greeks were very concerned about accuracy. They were not satisfied with estimations or rounding and were the first to … Continue reading

# Math is…

When people find out that I am a math major, they throw some numbers at me wanting to know the product. I just laugh and tell them that my major is math, not arithmetic. Math is more than just numbers, using basic operations, and finding a value for ‘x.’ There is such a great range of … Continue reading