Stick a small paper sticker on the globe at your own town. Now look down on the globe from straight above the North Pole and turn it slowly anti-clockwise.
Observation: the sticker does not go up or down — it travels along a circle, parallel to the equator, and after one complete turn it arrives back exactly where it started. Every other point of the globe does the same thing on its own circle, and all these circles have their centres on the axis.