Normally, a skateboarder will feel more comfortable using their back foot to push, while their front foot remains on the board. In the minority case of mongo-footed skateboarders, the opposite is true. Some skateboarders who do not push mongo in their regular stance may still push mongo when riding in switch stance, rather than push with their weaker back foot. Some well-known skaters who change between mongo and normal when pushing switch include Jacob Vance, Stevie Williams, and Eric Koston. Although its origins remain uncertain, it is widely believed that the term derives from the pejorative use of "mongoloid". BMX
In BMX, there is a de facto relationship between footedness and preferences of grinding position and of mid-air turning direction. The terms "regular" and "goofy" do not indicate a foot preference as in boardsports, but rather whether the riders footedness has the usual relationship with their grinding and mid-air turning preferences. For example, consider the following classes of riders:

right-footed riders who prefer turning counter-clockwise in the air, and grinding on their right
left-footed riders who prefer turning clockwise in the air, and grinding on their left.Both classes are of equal size and would be considered "regular". "Goofy" would describe riders whose trick preferences do not match their footedness: a rider who prefers to grind on the opposite side as do most is considered a "goofy grinder"; one who prefers to turn the opposite direction in mid-air as do most is considered a "goofy spinner". Few riders have either goofy trait, but some riders may have both.
A "regular" stance indicates the left foot leading on the board with the right foot pushing, while a "Goofy" stance leads with the right foot on the board, pushing with the left. Professionals seem to be evenly distributed between the stances. Practice can yield a high level of ambidexterity between the two stances, such that even seasoned participants of a boardsport have difficulty discerning the footedness of an unfamiliar rider in action. To increase the difficulty, variety, and aesthetic value of tricks, riders can ride "switch stance" (abbreviated to "switch"). For example, a goofy-footed skateboarder normally performs an ollie with the right foot forward, but a "switch ollie" would have the rider standing with the left foot at the front of the board. In sports where switch riding is common and expected, like street skateboarding, riders have the goal of appearing natural at, and performing the same tricks in, both regular and goofy stances. Some sports like kitesurfing and windsurfing generally require the rider to be able to switch stance depending on the wind or travel direction rather than rider preference. Each time direction is changed, the stance changes. Snowboarders who ride switch may adopt a "duck stance", where the feet are mounted turned out, or pointed away from the mid-line of the body, typically at a roughly 15-degree angle. In this position, the rider will have the leading foot facing forward in either regular or switch stance. Switch, fakie and nollie
When a rider rolls backwards, this is called "riding fakie".