Wheel throwing is when you create a piece on the potter’s wheel. Yes, just like that movie Ghost, but done properly. This is the most popular form of pottery making, and most would consider it the more technical side of pottery. Wheel throwing is great for those looking for a new grounding practice.
Handbuilding is pottery that is all things done off the wheel - includes slab construction, pinching, coil construction, and sculpting. This method is more forgiving and allows you to get creative with decorations and adornments. Handbuilding is great for those looking for a more arts & crafts experience.