Here is a link that discusses what is meant by reflective writing.
Here is another link on the subject of reflective writing.
Here is some good advice on writing analytically.
Reflective-analytical writing combines academic criticism with one's personal response to a given text. It is an INFORMED criticism, rather than a "touchy-feely" rant about how much a book meant to the reader or how horrible it was. It seeks to approach a text from two directions at once - academic and personal - in order to arrive at a deeper, more satisfying level of understanding than might be possible with either purely analytical, research-based writing or simple emotive responses.
Good analytical essays bring into their bodies the experiences of other writers and readers in the field of study. They also include an honest, probing, deeply felt discourse between the reader and the text being analyzed. An analytical-reflective paper is not a book report, nor is it a research paper.
Once you have selected your books, I will present for your consideration several examples of my own annotated reflections from grad school. these will give you some idea of what i am looking for. Step one, of course, is to select a book that relates to one of the topics we have discussed this year. In most instances, this will be a book of non-fiction; there are, however, a few works of fiction that examine the issues of the relationship between "We the People" and their governments. If you think you have found something, present it to me: I will try to prove that it isn't suitable, and you should try to prove that it is perfect for the task at hand. If your reasoning and passion are equally strong, you will prevail.