Manning fills the void left by DeAndre Haynes.
Martinez adds to the Terps' guard depth, while Hamilton was squeezed out of the rotation.
The Terps trailed the Spartans by 12 after 10 minutes.
The Terps gave the ball away 15 times in Wednesday's loss to the Wildcats.
"It’s just a maturation process."
The Terps held Scarlet Knights star Ron Harper Jr. to just six points on 1-of-6 shooting.
Ayala and Wiggins combined for 46 points to fuel the Terps' efforts.
“We accepted who we are and what we’re going to be about."
The Terps' bench was outscored 33-16 against the Hawkeyes.
“To be on the road, away from our families, not having anyone at the games — all we have is each other,” guard Marcus Dockery said.