# Monthly Archives: August 2017

## AMS Notices Spotlight September 2017

Hello and welcome to the September AMS Notices Spotlight. Since the last spotlight, many of you have started a new school year and if you haven’t started yet you are getting ready to start very soon. With that in mind, … Continue reading

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## A Pretty Lemma About Prime Ideals and Products of Ideals

I was trying to prove a theorem in algebraic geometry which basically held if and only if this lemma held. Here’s the lemma: Lemma: Given any ring $A$, a prime ideal $\mathfrak{p} \subset A$, and a finite collection of ideals … Continue reading

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## What to Do When a Group Gets Stuck Working on a Task

In my previous post, I discussed how to adapt a problem that you have found in order to make the problem groupworthy. One of the important things to consider when adapting real-world problems is to avoid giving step-by-step instructions and formulas … Continue reading

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## An Infinite Understanding

“Have you ever thought about how strange it is that we think about infinity every day, but most people think about it only on the rarest of occasions, if ever?” This is the text message I recently sent two of … Continue reading