Now time for me to solve (Or at least try) this argument:
Schools are made to teach students core jobs, such as other teachers, scientists, and technological jobs are to name a few.
With hard work these people mentioned above can make a good living. Although the good of the individual is a big factor, the wealth and power of the country is unfortunately more important. Another note is that if a home schooled child doesn't interact that often with other children, specifically bullies, because they're in a controlled environment. Not will this only help the child's social skills, needed to get a job, it will help them combat harassment. Both can deter and prevent someone from seeking out their job, and look for an easier, and commonly low paying job. Like every other point I have made, it will harm both the individual and the country.
Now, on the side of home-schooling:
Home schooling offers a way more relaxed form of school, it lets children absorb things at their own pace. And the children are not intimidated by a new workspace. The problem about this argument though, is that the child is not under professional education, and the child may sometimes complain to the parent, and the parent will drop some of the work.
Simply, I feel school is the best choice. Although it can be intimidating and tough, it sets you up for far down your life, and it help the economy.
Home-schooling is the easier opportunity, the child may have his childhood easy, but he will find it hard to put effort into a job, therefore commonly get an easier job, and hurt not only himself, but the economy.
I spent two hours typing this up, and I feel like it summarises lots of the arguments made, so from my perspective, there is no further reason of arguing.