give her lots of attention. My son is thirteen years old, and a very well behaved and a very well liked kid now. He wasn't exactly terrible before, but he was starting to go down the wrong path. He wouldn't do anything, and everything would turn into an argument. When he was is sixth grade I pulled him out of public school. We have had several problems with the public schools here and i had about enough when I could never get a hold of his teacher, and when i finally did she said she just didn't care anymore. Homeschooling my son was a turning point. He got more one on one time with me, and loves the time we have together learning. Ever since, he has become the happiest, most enjoyable, and well behaved kid. When my son stays the night at a friends house, the parents always tell me how great he was, and that he can stay the night any time.
Academically he is doing great as well. we do an online school that he does great in. It takes a lot of time on the parents part, but its totally worth it. during his free time, he learns about graphic arts for gaming. he's been at it for almost a year now and has made three 3D characters so far, and has just started making mods. Its been great and a lot of fun, i am so proud of him.
i also have a daughter who is six, and there still it sibling rivalry sometimes, mostly when im busy and cant spend the time with them, but when we all spend time as a family together we don't have any problems. The trick isn't about finding things you can do with your kids. I find that it is more about doing everything, normal every day stuff and including your kids in it. Going shopping, going for walks or hiking, go treasure hunting at a thrift shop or a dollar store. I volunteer at the library which is near a few diners and a thrift shop, and a dollar store. So we make a day of it. my sons favorite is a Chinese restaurant nearby with some really good lunch specials. My daughters favorite place is a little diner that has really good french fries.
i think that the most important thing is that you enjoy your time with them. your kids will know when you are really having fun with them. last night my daughter and i got some licorice and popcorn and watched minecraft parodys on u tube. A few months ago my son started asking my daughter GUESS WHAT? so of course when she says what? he says chicken butt lol. He kept doing this to her until one day she got him back. After that chicken butt went viral, now we are all very careful not to say what or even guess what, lol its been a lot of fun.
Thing is, I use to be like your daughter. but I was also put in foster care and children's homes too. If i wasn't in foster care, i was always alone. My mom always dumped me at someones house for weeks at a time and left me alone quite often. I remember her always pushing me away when i wanted to spend time with her. This probably isn't the case with you, its just what happened to me.
One other thing I did for my kids was i would pray that god would help me be a good mom and spend more time with my kids and really love my kids. I use to be the kind of mom who likes her space. after i became a single mom, all i did was mope when i wasn't being a workaholic to get my mind off it. So I took a lot of time to myself and not enough time with my kids. Sounds kind of counterproductive right, enjoying time alone so I can think about problems lol. I am really glad i made that prayer. well I wish you the best of luck, I hope this helps.