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The teacher asked Anne and myself to do a peer review of each other's writing.
OR
The teacher asked Anne and me to do a peer review of each other's writing.

I always belied the first one is correct but http://www.niu.edu / says otherwise. Thanks!
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shaunmWhich one is correct?
The teacher asked Anne and me to do a peer review of each other's writing.
Comments  
Teachers: We supply a list of EFL job vacancies
Thanks. It's been long. I hope you are well.

Can you please tell me why the first one is not correct? I always write like this in my business emails "Anne and myself went to..etc"
shaunmCan you please tell me why the first one is not correct?
The reflexive pronoun is used for sentences in which the subject and object are the same, as in 'I hurt myself'.
shaunm I always write like this in my business emails "Anne and myself went to..etc"
Don't do that. Others do so in ignorance.