I wanted to applaud the author, Bethany Ishee, and add a couple of my own thoughts to hers:
One of the things I love most about homeschooling is re-learning the science or history I learned incorrectly in school. I knew in fifth grade that not everything they taught in school or that my teacher said was always the truth after Mt. St. Helens blew and there were several aspects of that eruption that did not match with what was taught. For example, that it took millions of years to petrify trees, and some other misinformation regarding mountain formation.
There are things I teach my girls at young ages telling them, "I don't expect you to remember this exactly, but just to plant a seed so that when you are exposed to this later, you'll have some recollection of it so it is easier to grasp when you are older rather than it being a totally new concept." They appreciate that they get to learn some new things that they don't have to memorize or be tested on at the time, but that they get to experience and experiment with at a younger age for fun.
Some people struggle with spelling. I struggle with dates - especially battles in wars. As an adult, I had new books I could read that I didn't know about in school, new media available to help present the history in a new way, etc. These things gave me a fuller picture of history than I had in school. Textbooks can only teach so much, it takes experience and practice and immersion to learn many things. What things are most important depend on what one's goals are.
This cemetery in Georgia was important in the Civil War. I didn't know anything about it until my husband's uncle was interred there.
If we succeed in generating a love of learning, the learning won't end with us. If we succeed in teaching diligence and discipline, their continued ability to apply themselves to learn those things they need for their career or just for a hobby and enjoyment will propel their success. If we succeed in giving them a can-do attitude - or at least a willingness to try new things attitude - they will grow and have new experiences that add to their quality of life and to the depth of the person they are.