Here's the deal: We need a gender-neutral third person pronoun. I am tired of all the awkward constructions I have to concoct to use his or her in a grammatically correct and gender neutral fashion.
I fully support the use of "they" and "their" as singular third-person pronouns, as in "Each person should bring their pencil" rather than "Each person should bring his or her pencil." Unfortunately, this is not correct grammar today, so I just spent a few hours purging they's and their's from a draft novel. However, English is a language that has always been open-source and bottom-up (in contrast to French). Usages such as this tend to work their way into the language, as dictionary writers for the English language have generally considered themselves catalogers of the English-that-is rather than dictators of the English-that-should-be (the book the Professor and the Madman is highly recommended).
XKCD took on this topic a while back.