Example:
A philosophy student has to go before a panel of judges and debate his topic.
if I make it:
A philosophy student has to go before a panel of judges and debate their topic.
The reader isn't sure if I'm talking about the student's topic or the judges' topic.
Another example:
These people will then teach the philosophy student taking into account his background of experience.
if I make it:
These people will then teach the philosophy student taking into account their background of experience.
The reader isn't sure if I'm talking about the student's background or these people background.
What to do in these types of situations?