If you have one person in the country who is, like, the best at explaining calculus, that person maybe should teach every calculus class in the country.
It’d be helpful if we could work through the idea that good teaching is just good explaining and vice versa. Someone here at Twitter Math Camp mentioned she conducts a math night for parents at the start of school. “I wish I had learned math like this as a kid,” they tell her. That realization, that there is and should be a difference between how math was taught then and now, is a giant first step.
This shows the idea that children’s minds are empty vessels that need to be filled with knowledge and teachers are the keepers of that knowledge, whose sole job is to effectively pour said knowledge into the vessel. And if their minds didn’t get filled with our knowledge the fault must lie with our explanations.
This flies in the face of what we know about teaching and learning.
None of these reforms about math education can happen in a vacuum. There’s always a political side to what happens to people’s children, and if the way you help children learn math is important then the way you communicate with parents is also important.