Old tires are typically considered environmental hazards, and you might be charged a fee when you try to dispose of them. There are clever uses for those old tires that require very little beyond a sturdy knife and some serious elbow grease. Projects such as planters, animal shaped children's swings, or raised garden beds are just the beginning.
Using the heavy duty knife, cut the bead off the inside of one side of the tire.
Cut slits, scallops, or triangle shapes out of the inside of the now bead-less side of the tire.
Grab one notch, "petal" or "v," and begin pulling. Use your knee or foot on the opposite side of the tire to create leverage.
As the section of tire you are pulling back begins to move, slide your hands over to the next notch/petal/v shape and pull it back.
Working with the tire as it begins to bend itself (don't rely on brute force) continue working your way around the edge of the tire until it is entirely inverted.
Be sure to use old, worn tires if you want a chance at success. The wider the tire, the harder it will be to turn inside out. Doing this project on a hot summer day will make it even easier as the tire will be especially soft. Some people find it useful to prop the tire on a stump or rock to hold it still. Having one or two strong helpers can be useful.
Always wear heavy protective gloves when cutting tires. Wear sturdy shoes or boots for this project to protect your feet. If you have difficulty cutting, your knife may not be sharp enough.