I know I am coming very late to this discussion, but here is my experience regarding homeschooling vs. public school. One of my daughters was in 4th grade, in her first year of public school after homeschool. My neighbor had a daughter the same age who she was homeschooling. Together we cooked up the idea of having the kids do a science project for the regional science fair.
We approached the kids about it, and they got excited, so I talked to the teachers at school, and explained that my daughter would be doing a special science fair project for a few weeks, and would the teacher get all the homework together for her because she’d be in school for half days for a little while because of the regional science fair project. Well the teacher had a fit. She HAD to be in class, because she would miss all this instruction, bla, bla, bla.
I said, “Fine, tell me what it is, and I’ll make sure she’s caught up, and all her homework gets turned in on time. Let me know in advance and I’ll also make sure she’s there for any tests you want to give her as well.” The school people went on and on, but we went ahead with our science fair project anyway. It involved a great deal of math (higher level math, no less), several trips to the biology department at the local university, use of an electron microscope, a trip to the dairy barn located on the university campus (it was an agricultural college), and lots of other stuff. The kids did every single step of the experiment, every single time. They knew exactly what they were doing, because we double checked at every step. Finally, the girls took their results to the University people and had them double check the results, and talk to the girls, to see if they could explain their experiment to the professors there (sort of a dry run for the science fair)
The day of the science fair, our girls were the youngest, but certainly two of the most competent competitors in the field. They won 2nd place in the competition, and they were competing against high school kids.
Back at school, my daughter (who kept up with all her assignments) walked in with her trophy from the science fair, and showed it to the principal and her teacher, and the girls offered to present the same project to the students and teachers. Know what they got? A resounding “No!” and frowns.
These people were clueless.
Our daughters still talk about how much fun that science fair project was (they are 26 now). Don’t tell me you can’t teach good science in homeschool!