looking for a room in Paris

I am a Chinese girl (19 years old) who is doing my exchange program in Paris. I will be staying in Paris from November to the end of January. I am studying in ISG, a international school near Trocadero. I have been in Paris for 2 months (September - October).
I am now renting a room in Cergy. But it is located in Zone 5 and is incredibly inconvenient, so I am now looking for a place that is closer to Paris.
I am a very clean and tidy person, I do not smoke, take drugs, or have a pet and I will be able to take good care of your apartment. I clean my current apartment every weekend.

I speak English & Chinese.

My budget is EUR400 a month, inclusive of utilities bills.
I am looking for a room in Zone 1-2, from Nov '13 to Jan '14.