6 year old has no friends because she brags how smart she is

I stopped by the school today to drop off snacks for the class and my daughter's teacher pulled me aside and said my child is mean and has no friends.  She hasn't always been this way.  I am having some issues with her at home as well.

My child picked up reading all by herself and was placed in an advanced reading class with older students.  She leaves her kindergarten for reading and joins children in 1st, 2nd and 3rd grades.  She is very smart, but she has been telling kids in her class that she can read better than them and they are not as smart as her.  When she leaves the room to go to reading she doesn't take part in kindergarten activities that she has already mastered.  She then tells the kids that she doesn't have to do those things because she is smarter.  How do I stop this???

At home, I have a problem with her fighting with her older sister, a middle schooler, who is an overachiever and takes part in almost every activity, including community service volunteering.  She is an honor student.  The girls fight all the time and I am at my wits end.  I think my 6 year old may want to be like her sister and is trying to live up to all her successes.  She thinks she is the boss of my 13 year old and questions everything she does.  I think she wants to feel just as important as her sister...of course she is and we recognize their acomplishments.  My 13 year old was babysitting occassionally for my 6 year old, but since they fight so much, I have started taking my 6 year old back to daycare when school is not in session.  Also, instead of joint shopping trips I am taking each of them separately so each one has their own "special day" with no interruptions from the sister.

I have been thinking that the competition with her older sister is becoming too much of a habit and she is taking that behavior to school with her.  I just recently made these decisions to take her back to daycare and individual shopping trips (for necessities like clothes and shoes...NOT spoiled kids!).  Am I on the right track?  Also, I am wondering if the teacher aided in this problem at all...??? Of course I cannot tell her that, I know it's not her fault, but possibly a small part of it.  I emailed the teacher once, concerned about a hearing problem, and I was told that honestly she has not paid too much attention because my child is well behaved and already knows the stuff and that she would try an pay more attention.  Maybe it's a combination between an unhealthy sibling rivalry and not enough attention while at school???????

My child does not have a lot of time to play with other kids....she use to before she went to school full time.  I wonder if I need to have some weekend play dates so she is socializing with kids her own age since they don't play with her at school.....what should I do?

[grannienannie]

wow...I think your daughter is advanced for her age,and since she is so smart, she is very mature..but people let her know it too often..thats a good thing dont get me wrong...tell her she cannot compare herself to other people cause everybody in this world has a certain job..give her this example...people have different jobs for different reasons..and if everybody had the same job in the world it would be a very boring place...If someone loves to do hair like me..I couldnt save myself if I try...I will need a doctor...if my car broke I will need a machinic..explain to her everybody is blessed with different talents..ask her what she wants to be when she grows up..tell her whatever she do in life she will need someone to get her there..tell her life is about people and having support from family and friends..but if she continue to make other kids feel bad..no one will give her a chance..its personality thats gets the job.. not always intellengence...tell her continue to read and be smart as she can..butshe needs personality to get the friends she want but most of all she needs...your doing the right thing as a mother..just make sure to tell her to always respect her sister..she will need her a lot one day when she get big,and start to date..and you know men they dont like women too smart..especially smarter than them...