What is a Reflective Statement?

What is a Reflective Statement?
I have to write a personal essay that defines my current personality through a childhood anecdote and it says DO NOT use reflective statements. What should I write about and what is a reflective statement?

A reflective statement shows that you have thought about something yourself.
If some thing happens and you consider why it happened and whether it would have been the same if certain factors had been different , you would be thinking reflectively. If you then write about what you have considered you would be making reflective statements

You should make up an anecdote where conclusions could be easily drawn by the certain actions which speak louder than words, without actually going into the reason and process of thinking.