To sum up the whole CMF in my words, it's Critical Theory applied without critical thinking used. Proponents saw that minorities were struggling in math class, so they proposed a solution to handicap math classes. That's literally what CMF is. Proponents would rather see everyone fail than some people succeed. Especially if those some successful people are not minorities.
Why we should learn math from people who clearly have no respect for facts and reality in the first place is beyond me. Bertrand Russell, one of the founders of set theory, would have outright rejected most of the philosophy that inspired the CMF.