Lindsay Lohan: Crash Shoplifting Course Before Court Showdown

Lindsay Lohan went to a shoplifter's course last night ... apparently trying to prove to a very skeptical judge that she shouldn't have her probation revoked.

The shoplifter's course is part of Lindsay's probation, although it's curious why she went, because people connected with Lindsay have told TMZ she completed the course.

Much more problematic for Lindsay ... her failure to comply with the judge's orders to complete her community service at the Downtown Women's Center. TMZ broke the story ... Lindsay was kicked out of the program after failing to show up 9 times, and leaving early when she did show up.