I notticed the speed from our Internet provider has gone up. Maybe we can use our Internet connections to mine for cryptocurrency in the future or someone is working on this already?
The speed of your internet connection has no effect on mining, unless you're using dial-up (and possibly not even then). The process of mining involves repeatedly attempting to solve difficult calculations, producing another block of the blockchain and generating 25 bitcoins on success. These calculations were initially performed on CPUs, then GPUs, FPGAs, and ASICs; currently, ASICs are the only profitable method of mining. I don't foresee a major shift in the technologies involved until quantum computers are accessible for research, though ASICs will almost definitely improve significantly before then.