The best thing that you can do for your daughter this summer is to have fun with her as you help the child discover her personal interests. You can begin by exposing her to your own interests. When you find a particular area that attracts her, give her opportunities to explore that area in depth. For example, if she expresses an interest in music, take her to casual concerts in parks where she can also run about. Or you might want to have her begin taking lessons on the piano or some other instrument that she would like to play. If your daughter has an interest in animals, plan visits to farms and zoos and read stories about animals together. Encourage your child to learn about a wide variety of subjects such as art, nature, music, museums, and sports.
There are so many exciting things that parents of gifted children can do with them in the summer to develop their aptitudes, talents, and potentials for advanced learning and creative productivity. Check out The National Association for Gifted Children website for more ideas. Plus, you can learn about the different publications and materials that the organization has to educate the parents of gifted children.
When your daughter returns to school in the fall, you should talk with her teacher about your child's need for more challenging work. One solution could be to place her in a third or fourth grade class for one or more subjects.