What is countersteering, and how does it work at normal riding speeds?

At normal speeds, motorcycles turn by countersteering: to turn right, you press forward on the right handgrip ('press right, go right'), which momentarily steers the front wheel slightly left and causes the bike to lean to the right and turn. To go left, press the left grip. This feels counterintuitive but is how all two-wheeled vehicles initiate a lean above very low speeds. Understanding countersteering is essential for quick, controlled turns and especially for swerving to avoid a hazard. The press is light and smooth; the lean does the actual turning.