Abstract: Various examples are provided in relation to improved recovery and throughput of both fine and coarse particulate materials. In one example, a method includes injecting an aqueous suspension of a cloud of small air bubbles into an aqueous phase including fine particulate materials, wherein the fine particulate material is selectively hydrophobized and collected by small air bubbles; allowing the bubbles to rise in the aqueous phase; and collecting the air bubbles to obtain a concentrate of the fine particulate materials. In another example, a method includes adding a hydrophobizing agent to an aqueous phase to render coarse particulate material selectively hydrophobic; allowing air bubbles to attach to the coarse particulate material and changing the apparent specific gravity of the coarse particulate materials so a layer of one type of coarse particle is formed on top; allowing the one type of coarse particles to float and enter the forth phase.