I have tried to explain it to my wife, but she can't grok it. I'm going to have to buy one from fleaBay to get her to understand.
There are online virtual slide rules like http://www.antiquark.com/sliderule/sim/n909es/virtual-n909-e...
The key concept is understanding how logarithms work.
When I entered the workforce and met engineers much older (say, born 10+ years before I was in 1970), they'd often have one in a desk drawer, but they weren't using them either.
In college (late 70s) I still took a slide rule to exams as a backup; LED calculators could run out of juice. But I never used it.
As a pedagogical tool it is much superior. People who spend a few months using a slide rule come to a strong intuitive understanding of logarithms that no number of purely symbolic exercises with logs can ever match. Slide rules are also quite efficient tools for doing approximate calculations, much faster than pen and paper.
For anything too sophisticated for a slide rule to handle, students should use a general-purpose programming language and a full-sized keyboard.