[wintertime]

Yes - if the parents are polymath university professors.

^^^^^^^^^^^^^^^^^

I am not a poly math professor. I taught my children only to Algebra II using the Saxon math books.I learned as they learned, one problem at a time. Thousands of homeschoolers are doing this every day. It does NOT require specialized education to teach your children in this way.

At that point they were ready for community college and then at age 14, and 15 the university math program with all its challenges and rewards.

[Robert A Cook PE]

You brought up a minor - or perhaps major! - benefit few discuss about home schooling.

A (dedicated, determined) home schooling parent - and, of note, most ARE dedicated and determined parents, WILL LEARN and WILL IMPROVE their own education far above that of the least-common-denominator required by the government school system simply because THEY (the parents) WILL LEARN as they teach.

A person who slipped through math, spelling, algebra, or phonics WILL LEARN those subjects as they teach their kids. A person who ignored nearby museums, battlefields, train and car shops, libraries and playgrounds and zoos WILL GO to "give the kids a field trip" because they are home-schooling now.

[Aquinasfan]

I taught my children only to Algebra II using the Saxon math books.I learned as they learned, one problem at a time.

That's what my girls are doing, and they're doing fine. They're 1-2 years ahead of their peers despite a school day that lasts five hours, including 'homework' (working independently). That being said, neither one is particularly interested in math. One daughter loves to read, write and do crafts. At 11 she decided to write a Nancy Drew style mystery book. She's up to page 10, and it sounds just like a a Nancy Drew book. She's talking about being a nun when she grows up, teaching kids arts and crafts. My other daughter wants to have 20 kids. 8-)

Like Gatto says, each child has a particular destiny that he is drawn toward. Parents, and especially schools, must give children room to discern and pursue that destiny.