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Curl of a Vector Field: It May Not Be What You Think
Most calculus instruction would lead you to believe the vector field image above depicts a vector field with a non -zero "curl" because...

Frank Hummer
Aug 6, 202513 min read


Math Story Problems: Encouragement and Advice for Students and Teachers
When story problems come your way, don't panic. In this post, I have some suggestions that I have used to help students get through story...

Frank Hummer
May 28, 20259 min read


Defending Doctor Google, Part 1: How to Be Your Own Health Expert
You don't really have a choice. You are the one who oversees your physicians and other health providers, as they relate to you. It is a...

Frank Hummer
May 12, 202511 min read


What My Astronomy Students Discovered
This is a simple story of one of the most rewarding teaching moments I ever had. For most of my teaching career, I have taught math. For...

Frank Hummer
Apr 26, 20255 min read


On Counting Things -- The "One-Off" Problem
We learn counting even before addition. It seems like it shouldn't be hard, but sometimes there is a trick to it. Sometimes people get it...

Frank Hummer
Apr 17, 20255 min read


"Sure I Feel Better, But is it Science?"
The answer to this blogpost's title is "yes". The material below is from a presentation I gave at the Iowa Holistic Health Conference in...

Frank Hummer
Apr 10, 20257 min read
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