When observing the starry sky in the northern hemisphere, does the constellation rotate counterclockwise around Polaris?

No, not counterclockwise around the North Star, but counterclockwise around the North Celestial Pole.

In the night sky in the northern hemisphere, all the stars in the sky move counterclockwise around the northern celestial pole along the equator. This is a very strict professional statement. Notice that it goes around the North Pole instead of the North Star. Polaris also revolves around the north celestial pole, but it is very close and the rotation is not easy to be detected. As for the counterclockwise direction, it is related to the direction of the earth's rotation.

Extended data:

The difference between the north celestial pole and the south celestial pole.

The north celestial pole is the point where the earth's axis intersects the northern celestial sphere, that is, the imaginary center point of the rotation of the northern hemisphere stars. If we extend the axis of the north of the earth, it will point to the north celestial pole. The north celestial pole is located in Ursa minor, and the angle difference between Polaris and the north celestial pole is only 42', less than 1 degree. For thousands of years, people on the earth have relied on its starlight to navigate.

The south celestial pole refers to the point where the earth axis extends southward and intersects with the celestial sphere, that is, the celestial sphere is located directly above the south pole of the earth. In astronomy, if you project the South Pole onto the celestial sphere, you can get the South Pole, which is located in the Antarctic constellation.

References:

Baidu encyclopedia-north celestial pole

Baidu Encyclopedia-Nantianji