Password making game: https://neal.fun/password-game/

AIME level FTW style game: https://mathblitz.herokuapp.com/

Ruler and compass construction game: https://www.euclidea.xyz/

Geometry game: Pythagorea

Cryptography game: https://cryptohack.org/courses/intro/enc2/

Quote by Erdos: If an advanced alien civilization were to come and demand the values of R(5,5) or else destroy the Earth, then we should put all of our computer scientists and mathematicians together and work to find it. If instead, they asked for the values of R(6,6), we would have no choice but to fight back.

R(6,6) is known to be between 102 and 165.

List of famous mathematicians:
Cauchy
DeMoivre
Isaac Newton
Karl Friedrich Gauss
Leonhard Euler
Binet
Ludwig Sylow
Sophie-Germaine
Evariste Galois
Frank Ramsey
More to be added later!

A polynomial of degree five has no solutions in general.
For any s and any (integer) t, there is a number R(s,t) such that if you two-color the edges of a graph red or blue, any graph with R(s,t) vertices has either a monochromatic red K_s or a monochromatic blue K_t.
Match these two facts to their namesake! (Note Stigler’s law of eponymy – no theorems is named after their true discoverer).


How would you define Bitcoin?
Bitcoin is a peer to peer network of distributed ledgers. Bitcoin utilizes cryptography. Bitcoin depends on trust in the Bitcoin core developers, and the general Bitcoin community to not vote against the ideals and core values of Bitcoin. Other than that, bitcoin is “trustless”. One can audit the Bitcoin source code. The fact that Bitcoin is developed by someone anonymous also can be of concern, as well as a 50 percent attack. It can be thought of as digital gold.

Ungrading:
Instead of grading, we should give feedback.
Instead of scoring, we assess.
“What is my grade?” is not as important as “What did I learn?”

Your beliefs become your thoughts. Your thoughts become your actions. Your actions become your habits. Your habits become your values. Your values become your destiny. (Mohatma Gandhi)

Scientific truth does not becomes the truth by convincing its opponents and making them see the light, but rather because it’s opponents eventually die and a new generation grows up that is familiar with it.




Fun sayings:
Egad!
Snug as a bug in a rug
Pulling a needle out of a haystack

Pulling hay out of a haystack (on describing finding Ramsey graphs. Almost all large graphs are Ramsey. We try to finding hay in a hay stack, but we always pull out a needle)