It is wise try not to do a direct translation from the Chinese characters in the terms. It has no significant meaning just by the character themselves. It has to go by the definitions of the inventors of the movements.
Here are the descriptions of the actual movements
1. dai (带) jian is to sweep the sword horizontally across in front of you, in either directions, from left to right or right to left.
In the following video at 1:0 to 1:05 is dai (带) jianhttps://www.youtube.com/watch?v=nrGZXgTP-ZA
2. chou (抽) jian is to draw the sword back. The focus is on the handle of the sword. The handle is in the leading direction by drawing it back, in a circular motion, either from the upper front toward the rear or upper rear toward the front.
A deep discussion requires explicit details for a good comprehension of a complex subject.