I find that I'm able to convince people of things and explain abstract concepts with much more ease than other people. This holds true even if I don't fully understand the idea I'm explaining. Something about being able to "mold" the space in front of me lends another dimension to weave the fabric of language around.
As a personal anecdote: I won the Marconi-Samueli Award for an app I built when I was 14 called MathSuite. It could parse algebraic equations and yield a result, and it did so offline (think Wolfram Alpha). I'd built the thing from scratch, and on the day of presentation, my computer had crashed and I couldn't ship a version of that app that would run.
Somehow, I convinced the judges of the veracity of the screenshots and claims on my presentation poster, and explained to them the potentially huge ramifications of my app, without being able to demonstrate it working. One judge commented that I had a "very expressive and mature style of explanation" — really, I think my hand gestures were a huge part of it.
I think you're right.
Slightly related, I can't find the research, but I read research that teachers apparently explain concepts more understandable when they use accompanying hand gestures.
Oh and also, when explaining statistics, don't use decimal numbers like 0.001%, just multiply it by a big number like 10000 and you can use whole numbers again. So of the one million people in our country, 100 experience XYZ. There also have been multiple papers on that one (can't find them ).
Those are two my pedagogical tips of the day :P
 Okay, I'm too lazy, it'd take me 15 to 30 min. to find both of them, since they come from my psychology time between 2012 and 2015.
Maybe it was this one?
I also learned to do this from my father, who was a trial lawyer. When I joined the US Army, I regularly got 'smoked' in basic training for talking with my hands. I stoped doing it for several years. A few years after leaving the Army it came back subconsciously.
I also attribute much of my persuasiveness to my ability to convey a story in an animated fashion.
What does this mean, and why is it bad?
Also, you can’t stand at attention and gesticulate at the same time.
In my case it was the fact that I was smiling a lot, for which I was hazed constantly.
I failed classes because I was busy building an app people said was worthless, and had to transfer schools because of it.
That app then won me 2nd place in the national science fair and an asteroid named after me and some $15,000 in prizes.
Then, after I won that science fair and experienced great success with it, I came home and fell into a terrible bought of major depression and anxiety. Being depressed and holed up in my room I did nothing but study cryptography and blockchains and buy cryptocurrencies. I flunked more classes, but I tested out of high school a few days after I turned 16. Then I went to work at a battery cooling startup making parts for the Mars Rover, which I promptly got fired from. But by then I had Bitcoin money and I went traveling with it. I bounced for a year around Europe, where I first had the idea for Assembl (which was just acquired). Somehow I ended up at the door of a Swiss VC and pitched them on the idea, and so the story continues.
I could go on. These oscillations have been pretty constant throughout my life. As I’ve begun to understand the pattern, I’ve found better ways of surfing these waves.
Using gestures to reinforce the idea of how these separate objects are related... this node is the peer of that one, this server runs these two services, etc.
It helps that I usually have a good idea of which concepts the listener has some knowledge of, and which need further explanation or simplification.