Ramadan is the month of Quran and that connection has already been made in the Quran itself. We were told that the Quran was revealed in the month of Ramadan.
In the 97th chapter of the Quran there is a reference to Laylatul Qadr and the fact that this was the night that the Quran was revealed.
In the month of Ramadan many Muslims read the Quran more regularly and they try to complete the Quran within this holy month!
We must understand that we also need to understand the Quran not just recite the Quran.