Karl Cochran scored 15 points and Lee Skinner added nine points and a game-high nine rebounds to help Wofford (8-12, 2-5) outrebounded Furman 32-25.
Ahead 35-33 with 14:42 left to play, Wofford used a 22-6 run to take its biggest lead of the game, 57-39 with 3:22 left to play. Collins scored eight points during the run and Cochran capped it with a jumper, helping Wofford snap a three-game losing streak.
Wofford scored 23 points off 20 Furman turnovers and doubled up the Paladins inside, outscoring them 32-16 in the paint.
Furman (5-13, 2-5) made 5 of 9 free throws in the second half compared to the Terriers converting 12 of 16 in the period.
Stephen Croone led the Paladins with 14 points.