I found a few web sites that describe how to write music with the correct rhythmic notation. If I understand the gist, it's that if a note crosses a beat boundary, the note should be broken up into tied notes so that there is a note on the beat.
Let me begin with this sample:
Here's another sample:
There must be a caveat about notes that start on a beat and extend all the way to the next beat. For example, if I have a whole note in one of the measures, I'm not going to change it to four tied quarter notes.
I will continue to research this topic, but if anyone can express this as a series of simple rules, I would love it. All assistance greatly appreciated!