Jake Lai, Aareyan Manzoor, Abhinuv Raichur and sterlingcalculus had a discussion about how being good at math can improve your public speaking.
The points that we came up with were:
Increases intelligence: Obviously you need this to create a good speech, preferably argumentative.
Increases confidence(not apply to all): If you solve hard maths you feel really good, which also means you feel confident to solve the next problem.
You know how to spot incomplete proof(very useful in debate): Maths is the land of proofs, if you post a wrong proof, you will be informed why! After practice you should be able to notice the flaws in other's proof.
Develops long-term memory and mnemonic skills
Enhances communication between both hemispheres of the brain: More and better analogies can be made.
Maths is a social field of study, so experience in maths assists and makes efficient the communication of ideas between debate partners (if any).
Good summary skills.
Allows one to more easily look at the bigger picture and provide a high level of context/framework for one's argument.
Feel free to add points and/or give feedbacks about the 8 points above.