If your daughter is very bright, and it would appear to be the case, then the lack of attention might be caused by simple boredom. The teacher has to make sure all students learn the material, but this often means that the smartest in the class are bored. There are several ways to handle this.

One method would be for the teacher to change teaching style to be more engaging, and provide challenges on different levels so that there is something for everyone. This would be a suggestion for the teacher though, and you might not be able to suggest this without insulting her.

Other methods involve giving the child extra tasks during class, either covertly (tasks given by the parent, at home) or overtly (extra assignments given by the teacher).

• For the former, you could give your daughter extra instructions, for instance paying attention to any special words the teacher uses, and discussing them at home, or collecting statistics on how often the other kids answer, and do so correctly. If nothing else, this gives your daughter something to do instead of daydreaming, and it might even help her learn new things or words.
• Extra assignments from the teacher might not be allowed from the school, this depends on national and regional laws.

Discuss these ideas with the teacher, perhaps you can come up with something even better. The goal is to find something that engages your daughter and keeps her attention high, without creating a lot of overhead or extra work for the teacher.

These other questions might also have useful answers for you:

• What can be done to help bright children stuck in a boring school?
• How can you encourage a child in a school subject they don't like?
• What do I do about the fact that my child can already read, write and do math before entering first grade?

Update based on comments:
I don't mean to say that the problem the teacher or her style. Based on the details of the question, it appears that the problem is paying attention in school so the solution must involve that place too, though of course not necessarily driven by the teacher. I am offering ways to improve the attention by having the child do more. It's just that someone has to give her some tasks -- either the teacher or the parent.

If your daughter is very bright, and it would appear to be the case, then the lack of attention might be caused by simple boredom. The teacher has to make sure all students learn the material, but this often means that the smartest in the class are bored. There are several ways to handle this.

One method would be for the teacher to change teaching style to be more engaging, and provide challenges on different levels so that there is something for everyone. This would be a suggestion for the teacher though, and you might not be able to suggest this without insulting her.

Other methods involve giving the child extra tasks during class, either covertly (tasks given by the parent, at home) or overtly (extra assignments given by the teacher).

• For the former, you could give your daughter extra instructions, for instance paying attention to any special words the teacher uses, and discussing them at home, or collecting statistics on how often the other kids answer, and do so correctly. If nothing else, this gives your daughter something to do instead of daydreaming, and it might even help her learn new things or words.
• Extra assignments from the teacher might not be allowed from the school, this depends on national and regional laws.

Discuss these ideas with the teacher, perhaps you can come up with something even better. The goal is to find something that engages your daughter and keeps her attention high, without creating a lot of overhead or extra work for the teacher.

These other questions might also have useful answers for you:

• What can be done to help bright children stuck in a boring school?
• How can you encourage a child in a school subject they don't like?
• What do I do about the fact that my child can already read, write and do math before entering first grade?

Update based on comments:
I don't mean to say that the problem the teacher or her style. Based on the details of the question, it appears that the problem is paying attention in school so the solution must involve that place too, though of course not necessarily driven by the teacher. I am offering ways to improve the attention by having the child do more. It's just that someone has to give her some tasks -- either the teacher or the parent.

If your daughter is very bright, and it would appear to be the case, then the lack of attention might be caused by simple boredom. The teacher has to make sure all students learn the material, but this often means that the smartest in the class are bored. There are several ways to handle this.

One method would be for the teacher to change teaching style to be more engaging, and provide challenges on different levels so that there is something for everyone. This would be a suggestion for the teacher though, and you might not be able to suggest this without insulting her.

Other methods involve giving the child extra tasks during class, either covertly (tasks given by the parent, at home) or overtly (extra assignments given by the teacher).

• For the former, you could give your daughter extra instructions, for instance paying attention to any special words the teacher uses, and discussing them at home, or collecting statistics on how often the other kids answer, and do so correctly. If nothing else, this gives your daughter something to do instead of daydreaming, and it might even help her learn new things or words.
• Extra assignments from the teacher might not be allowed from the school, this depends on national and regional laws.

Discuss these ideas with the teacher, perhaps you can come up with something even better. The goal is to find something that engages your daughter and keeps her attention high, without creating a lot of overhead or extra work for the teacher.

These other questions might also have useful answers for you:

• What can be done to help bright children stuck in a boring school?
• How can you encourage a child in a school subject they don't like?
• What do I do about the fact that my child can already read, write and do math before entering first grade?

If your daughter is very bright, and it would appear to be the case, then the lack of attention might be caused by simple boredom. The teacher has to make sure all students learn the material, but this often means that the smartest in the class are bored. There are several ways to handle this.

One method would be for the teacher to change teaching style to be more engaging, and provide challenges on different levels so that there is something for everyone. This would be a suggestion for the teacher though, and you might not be able to suggest this without insulting her.

Other methods involve giving the child extra tasks during class, either covertly (tasks given by the parent, at home) or overtly (extra assignments given by the teacher).

• For the former, you could give your daughter extra instructions, for instance paying attention to any special words the teacher uses, and discussing them at home, or collecting statistics on how often the other kids answer, and do so correctly. If nothing else, this gives your daughter something to do instead of daydreaming, and it might even help her learn new things or words.
• Extra assignments from the teacher might not be allowed from the school, this depends on national and regional laws.

Discuss these ideas with the teacher, perhaps you can come up with something even better. The goal is to find something that engages your daughter and keeps her attention high, without creating a lot of overhead or extra work for the teacher.

These other questions might also have useful answers for you:

• What can be done to help bright children stuck in a boring school?
• How can you encourage a child in a school subject they don't like?
• What do I do about the fact that my child can already read, write and do math before entering first grade?

Update based on comments:
I don't mean to say that the problem the teacher or her style. Based on the details of the question, it appears that the problem is paying attention in school so the solution must involve that place too, though of course not necessarily driven by the teacher. I am offering ways to improve the attention by having the child do more. It's just that someone has to give her some tasks -- either the teacher or the parent.