I am currently privately tutoring a year 11 girl in mathematics.
Over the past couple of weeks I have noticed a couple of comments she has made could be considered slightly racist. A week ago she asked me about some of the other students that I taught. When I mentioned that they attended the local Jewish school, she muttered "Oh, Jews" in a negative tone (it was not what she said, but the tone in which she said it). This week we were going through some maths questions, where one contained a foreign sounding name. She made the comment "What kind of name is .....?" I replied jokingly that the book was being politically correct, to which she agreed that it was an "ethnically diverse" book in a sarcastic tone, and made air quotes.
I am a little surprised as this girl attends a relatively diverse school with a significant number of pupils from ethnic minorities. In addition she is partly Spanish, therefore has family from a different culture and speak a different language.
Am I right to be concerned, or am I just too politically correct? Was I wrong to joke that the book was politically correct? I am concerned that if I say nothing her remarks may become more overtly racist. As a tutor, who only sees her once a week, is it my place to say anything at all?