-Your audience
  -Future plans (of audience) for use of material
  -Audiences learning style/preference

   For example, I have always been a "why" person and like to understand complete structures.  I'm also really into theory, which is why I like to hear the whole story.  

   I took a History and Philosophy of Mathematics course that really helped me with a lot of that.  I tutor math and that demands a greater understand, but this was something I had always done and never noticed that I understood it on such a deep level until I had to relate information to others.

   At my school, they have a service-learning requirement for the Pre-Calculus class.  Those students have to tutor middle school kids in math, while the students don't understand when they are taking the course WHY they have to do this - I think it's an awesome idea.  

   The instructor for this class is also my advisor who LOVES the fact that I tutor and have to understand math so well.  

   Ask your students to get the quadratic formula using the complete the square method, it's a really nifty proof.  Getting them involved with problem solving and understand the math and theorems will make them appreciate mathematics more for its beauty and eternal truth.  

   Become inspiring and they will catch the fever - the math fever!