Unsteady joints need gentle attention, a slow even development of the surrounding connective tissue and muscle. Jumping into exercises around an unstable joint without careful assessment could lead to more instability and discomfort for the client/student.
First one has to assess as where the instability is coming from. To assume the entire joint is not stable due to contraction or laxity may be a mistake on the part of the therapist. Often we have instability of a joint because one side or muscle group is stronger, contracting with greater force than another muscle that is part of the stabilizing mechanism of that particular joint.
Increasing a bit more flexibility of the contracted or overly shortened muscle and increasing more strength in the opposing muscle may be more useful to create stability without reducing overall range of motion. It is also necessary to attend to structural issues and poor use of joints above and below the unstable joint of focus. It most likely will be, until what is above and below has been corrected or addressed, the joint in question will continue to lose stability and remain a tender topic.