Is specifically indicating "uncontrolled airfield, student handling radios" by writing "uncontrolled" in a student's log book necessary? I'm a student pilot with 52 flight hours.  I've had multiple lessons at the same uncontrolled airfield handling the communications on each leg while doing touch and goes.  The last lesson my instructor wrote "uncontrolled" in my log book.  I spoke with the chief flight instructor she said that it was to indicate that I was flying in an uncontrolled airfield and handling all the radios.  Is it necessary to reflect radio communications for the private pilot exam with the DPE?
As I indicated above all my flight training for touch and goes (except one) has been at one uncontrolled airfield.  After the first lesson on calling postions in the pattern I've handled all radio communications.  Is writing "uncontrolled" necessary for logging progress?

Thank you.
You need to specify that the requirements of training are met.  

For a private pilot under the FAA system, you need to have completed three solo landings at a controlled airport.  Otherwise, radio communication is a required line-item for training.  You should always log the airport of departure and arrival as well as the date.  If someone wants to know whether it was controlled or uncontrolled, they could look up the airport and see if it had a tower on that date, but they shouldn't need to since the required solo with an operating control tower should be specified in your training remarks.

Any examiner in the area would likely know whether any given airport is controlled or not simply from memory, being familiar with the area you're in. The examiner must check to make sure you meet the minimum requirements for the certificate or rating.  

Beyond the three landings with a tower and the required standard communications training, there is no need to specify controlled vs. uncontrolled airport operations.