Daniel Moskovich
  • Member for 7 years, 10 months
  • Last seen more than 1 year ago
  • Israel
Galois Theory: necessary?
8 votes

Galois Theory is the place where insights from one field (structure of groups) impacts another field (study of solutions of polynomial equations). I think it's the only time undergraduate students ...

View answer
What mathematics activities get students physically moving?
4 votes

My favourite is addition and multiplication by walking. This is my go-to activity when I talk at schools. $+2$ is two steps forward. Then we get to negative numbers, and $-3$ is three steps back. ...

View answer
"Opinionated" textbooks
8 votes

Judea Pearl's Causality is both the most opinionated textbook and one of the best textbooks I have ever read. The entire book is designed to convince the reader that it is causation, not correlation, ...

View answer
When asked to by a religious university, how can an instructor make a mathematics course spiritually uplifting?
10 votes

For calculus, talk a lot about infinity. This is a topic which is tremendously theologically interesting- from Zeno's paradox (potential infinity) to Rabbi Hasdai Crescas (actual infinity) to Bolzano (...

View answer
Teaching by Slides, Yes or No?
4 votes

I use slides as an accompaniment to a lecture, like a music video to a pop song. This is something I can only do with slides- there is no way to do this using a blackboard. Only a small percentage of ...

View answer
How can I familiarize elementary school students with infinities larger than $\aleph_0$?
9 votes

Consider a Sumerian person, living around 2500BC, who owns a flock. She hires shepherds to take the flock to pasture. Not being a scribe, she does not know Sumerian numbers- instead, for each sheep ...

View answer
What is fairly new theorem one can teach (and prove) to an undergraduate student?
7 votes

I think that Bhargava's generalized factorial functions fit the bill perfectly. This construction, and the theorems he proves using them, are recent, topical, and completely undergraduate-accessible. ...

View answer