So I'm learning special relativity in high school right now, and I'm having some difficulty understanding some of the relations.
Right now, we're learning about time dilation and length contraction. What we've been told is that proper time is measured between two events upon the frame of reference for which both events occur at the same (relative) point in space. This is understandable.
However, we were introduced to length contraction today. What I understand, from the information we are given, is this: relativistic time passes slower than proper time, and proper length is longer than relativistic length. From this, based on a possibly incomplete equation we are given from which I must assume the relation between time and distance is proportional, it must be concluded that
proper length/relativistic time = relativistic length/proper time = speed
And yet the given definition of proper length (a word-based definition) leads me to believe that proper length is in fact over proper time.
Can you please provide as simple and rudimentary and intuitive explanation of how to find which of two frames of reference has proper length?