Ahh, why does one choose to homeschool one's children? A loaded question, sometimes. Of course, most homeschoolers will still bristle at the old "socialization" question. Since homeschooling came on strong (as many homeschoolers now as there are students in the entire state of Georgia!), there have been books and a myriad of articles written on the why's and why-not's of this phenomenon. Religious reasons used to abound (and still do), but also are the LD (Learning Disability) reasons, and those who choose it for other reasons - bad/inadequate public education with little/no access to private, curricular control, too long a bus ride!
For us, my eldest son was in the first grade at a local Catholic school, but he was already an excellent reader, having read
Moby Dick, unabridged, the previous summer. When I went to speak with the teacher about enhancing his reading materials, she did so: by giving him MORE worksheets at the same level. Our local public school, the smallest by area and by population in our state (graduated 34 students last year) simply did not have the facilities to do anything else for or with him. So, taking matters into my own hands, we homeschooled, all the kids. Later, they were cyber-schooled, and spent two years as college students at Local U and at Local Catholic U, all at the same time, while having a full high school curriculum at home.
It worked very well for us, as we found a sport which all the kids could do (one of my requirements; I wasn't going to do soccer for one, tennis for another, gymnastics for a third, golf for a fourth)... guess the sport!
We were in a religious homeschool group which enabled us to have the kids in band, and other activities like chorus, etc. which are sometimes difficult to provide at home. We also were members of a county-wide group which provided TONS of great enrichment classes: Mandarin Chinese, Journalism taught by a newspaper editor, ceramics, Math for Musicians... So, the kids lacked nothing socially (they even had a homeschooler prom), athletically, artistically, educationally.
If anyone has specific questions, I can hopefully answer them, about our program of education or how things worked out for the other kids.
Would I as a parent do it again? Yes, in a heartbeat. Of my children, those who have or will soon have kids of their own are also planning to homeschool (even though their wives were valedictorians of their public high schools). My daughter is marrying a formerly homeschooled man in May. My other son says, should he ever marry, he'd never consider anything but homeschooling.
So, it worked for our family. Not for everyone, but for us, the results speak for themselves.