“Handbuilding is an ancient pottery-making technique that involves creating forms without a pottery wheel, using the hands, fingers, and simple tools. The most common handbuilding techniques are pinch pottery, coil building, and slab building” -Ceramic Arts Network.
Tools may include a wire cutter, pin tool, score tool, banding wheel, brayer, rubber rib, fetting knife, or slab roller.
The following are keywords you may want to include your search: handbuilt pottery; pinch pottery; coil pottery; slab pottery, earthenware clay