vs.
>I got an extra recommendation from a professor teaching the math class I was taking, whom I had asked to explicitly let them know that I was mature and a hardworker...
These statements are irreconcilable. A hard worker does work that he/she is assigned, and does not make pre-mature value judgements on the worthiness of said work. Being smart does not mean you're a hard worker. That was a pretty irresponsible recommendation by the professor, considering you didn't exhibit the qualities you claimed to.