In embodiments of the invention, a wheeled dredging head is configured to operate in a stand-alone condition, with the addition of a water jet assembly, and/or with the addition of an adapter at an intake of the dredging head. In one embodiment, the adapter is configured to vacuum the floor of a body of water. In another embodiment, the adapter is configured to remove sediment or other material from a sloped surface in a body of water. In yet another embodiment, the adapter is configured to remove sediment or other material from around obstacles in a body of water.