Janie,
Acceleration is negative if velocity is positive and opposite in direction to acceleration.
The negative sign only indicates direction.
Fred Meshna
My students and I discussed a simple number line, where a positive vector means you are moving in the positive direction, and a negative vector is in the negative direction.
A positive acceleration indicates that the velocity is changing toward the positive velocity. That can be making a positive velocity more positive, or a negative velocity less negative. Like Fred said, positive and negative are just directions, and you choose to assign them at your own convenience.
Mateo