Boots are shoes that go higher than your ankle, sometimes even all the way up to your knee or even higher. Boots can either be for working, like the boots in the picture, or just to look good.
Traditional clogs are wooden shoes usually associated with the Netherlands and surrounding countries. They were worn as protective footwear in industries like mining and in factories.
Modern clogs are just slip-on shoes, usually made with wooden soles and a leather upper.
Gumboots, also known as Wellington boots, galoshes or rainboots, are rubber boots made to keep your feet clean and dry when working in wet, messy conditions.
A shoe is a piece of clothing that is worn on your feet. Shoes come in all different styles. Shoes protect your feet from getting hurt by the hard ground.
Skis are long flat things you wear on the bottom of your feet to help you slide over snow. Someone who skis is a skier. There are lots of different kinds of skiing, most of which you can see at the Winter Olympics.