If you're serious about getting pretty decent at drumming, have a look at these, please...
That's a page taken from the Max Abrams method. Have a look, show it to your tutor, and see if it inspires. This doesn't replace the 'four to the floor' playing in the video, but is the key (or rather, one of many...) that unlocks drumming in its entirety. The exercises on that page are Rudiments, for the snare, with bass drum, but are equally valuable played on other elements, such as the Hi-hat, toms, or even bass drum, using a double pedal. They are simple, but powerful. Just a thought; see what the tutor thinks of such an approach.