I like this article to reference while talking about CRT in schools:
What Is Critical Race Theory, and Why Is It Under Attack?
As a parent, I was okay with the "new math" they were teaching my kids, until I saw my kids struggle with it. When I taught them the math the way I had learned it, they got it, no problem. Many parents and parenting groups hate common core, and while this has nothing to do with common core, this is yet another thing they are going to try to change on us to confuse our kids, and tie our teacher's hands behind their back because they are no longer trusted to create lesson plans without the state guidelines. I do genuinely think that many parents that saw how badly common core worked for their kids (especially special needs kids, like my son who is 11 and still has problems reading--and his reading problems were not allowed to really be addressed by the teacher because she was required by the state to cover the same material that regular classes were covering), are really scared of yet another curriculum shakedown.
However, I do think it's necessary and correct to teach children American history with the context that slavery and racism have had and continue to have major impacts on America as a country. The reason America had slavery was because it was profitable and a whole class of white people got rich off of it. The ancestors of those white people may or may not have wealth now, but those descended from slaves never got the benefit of generational wealth. When we start questioning things like generational wealth, and whether profit should really be the only thing we consider, this challenges a lot of people with a lot of power. Anything that questions why shareholder dividends are more important that the environmental concerns, worker safety, or consumer safety, will always get grumbles in places of power. All they really had to do to get parents motivated is to point to common core as the failure that it is (especially for the most vulnerable students).
What gets me annoyed is how half-baked educational concepts are rolled out as the answer to it all, and they backfire (I'm looking at you sight words). I am not opposed to my kids learning about all of this, and we have talked about slavery and how it impacted our history (and the repercussions now). I think it's a necessary piece of knowledge they have. I am opposed to vague laws or "guidance" on how to teach/or not teach this stuff. I think that's the biggest thing with common core--we told our teachers that we didn't trust them to run their own classes and took a lot of power away from them.