Science is the process that takes us from confusion to understanding.
Understanding requires insight. Insight must be anchored.
In my own research when I'm working with equations, I never feel like I really understand what I'm doing if I'm solely relying on the mathematics for my understanding. I need to have a visual picture in my mind. I'm constantly translating from the math to some intuitive mind's-eye picture.
For me it's been very exciting to contribute to the public's understanding of how rich and wondrous science is.