You should go by when the sample began to melt. If you're careful, and pick the smallest sample possible, consolidate it enough so that the mass of solid is together, but not so firmly that you can't see liquid forming, and you're quick enough at reading the temperature, you should get the correct answer. But getting all of that down pat does take some practice.
You have to realize that there may be some error in your determination. I think we can all accept that. But what you have to now is try to consider -- are you likely a few degrees high, or low in your determination? Try to consider -- it got to 80 C, then 81 C and you still didn't see any melted sample? Then you should know what its not, and narrow it down to what it is.
Look at this other thread on boiling point to see what I'm asking you to do.
http://www.chemicalforums.com/index.php?topic=78806.0