Yep. I really think the instant feedback helped my boys tremendously... they took a test, we went over it right then and there and addressed what they missed an why and retaught the concept if needed. This was so crucial in math especially.
When they moved on to the next concept, they weren’t lost because of gaps in their knowledge. To a lesser extent this applies to language syntax as well. I remember my son missed the difference between infinitives and prepositions. When he was diagramming, he would confuse the word “to” in “to the park” with “to eat”.
Anyway, I can see now how the skills especially in math has helped them, my youngest is studying accounting in college and it has been a breeze for him. He shows me what he is doing and KNOW that I have missed concepts in my own education, lol. Same for my oldest. Despite having a hands-on career, he still has to do job and materials costing and it is amazing to me how he can work this stuff through. I mean there is software that helps, but he has to know what inputs to use.
He has been a huge help to us figuring out what we need to do in refinishing history basement (for example)
Again, homeschooling taught them to think and work things out. Both of my boys can run circles around me in math. That’s probably why in studies that have been done, the educational level of the parent did not affect outcome of the student. They learn to figure it out.
👍👍