Lisa Beymer, Educational leader, Teacher
Education tends to be a swinging pendulum of reform and initiatives, each leaving some teachers satisfied and other teachers unhappy. This is very typical, and as Jenny mentioned earlier, each teacher probably has their own opinion on why they do/do not support Common Core State Standards. Regardless, it is a federal initiative which becomes state mandate once it is "adopted" by the individual state. (Teachers generally feel uncomfortable with mandates that are handed to them like this in a "top-down" manner.) While some states and/or school districts are being provided leniency on how CCSS looks or is measured, the standards remain. So, basically, whether teachers like it or not, CCSS remains (for now).
My bigger concern would be that as a parent of a student in the school, you are very aware of this teacher's dissatisfaction with CCSS. This means that the teacher has been open enough about their dissatisfaction that it has affected students, and therefore affected students' educational experiences. (You insinuate that it is multiple teachers, which exacerbates the problem.) I believe this is unprofessional, and should be brought to the attention of the teacher and/or the administration for the betterment of students. (We're not looking for punitive measures here, but a conversation of professionalism and influence on students.) While teachers have a right to have opinions about mandates of their profession, it should not interfere with their job. And it certainly shouldn't directly affect their relationship with students and student families. In this case, their disdain for CCSS has spread to the students, trickled down to the parents, and made you question the education your student is receiving.
As Jenny mentioned earlier, I would suggest requesting a meeting with the teacher(s). It would be important to express to them any concerns you have. It would also be beneficial to hear what the teacher has to say about CCSS, research CCSS for your own benefit, and then determine your individual thoughts on CCSS. This will help you support your student.