I discovered how to directly view the rotation of the earth while playing outside as a kid when I was about 10 y.o. Take a small mirror, mid-morning or mid-afternoon on sunny day, like the ones that often come with a vial of face make-up. Set the mirror about 50 ft away from the shady side of a large object such as a building. Position the mirror so that the reflection is focussed on the building; it will appear as a disc of light (actually a fuzzy image of the sun, similar to the pin-hole camera effect). Now, come up near the building, and closely observe the edge of the disc of light. You will clearly see motion, like the second-hand of a clock, as the image slowly crawls along the surface of the wall. The motion will be even more obvious if you make a small pencil mark on the wall, as a reference point, right at the edge of the disc.