Although, in general, I think that common core is a bad idea, I do not understand this opposition to “teaching to the test.”
If the student is learning, for example, algebra, they should be able to take and pass any standardized test that measures skill level in algebra. As far as I can tell, the catchphrase “teaching to the test” is a rationalization of the pushback against actually teaching students to master academic subjects. It’s an excuse for incompetent teachers.
"Don't understand Algebra ... learn the rules, apply them correctly and you'll pass my class."
I never forgot that and I'm 69
In teaching to the test you are not teaching the subject, the rules and theories. You are teaching how to successfully answer the test with no basis for understanding.
Math might not be the best example if teaching to the test because it’s fairly objective. A better example might be under science, where the “right” answers assume anthropogenuc global warming is real.
Teaching to the test inhibits deeper thinking and actual problem solving abilities. Some subjects, such as history, etc., require test material to be covered but the philosophies that arise and evolved throughout history require an ability to think if one is to be able to apply them usefully. When we stop teaching the art of deeper thinking, we get to steer students to mob mentality by "teaching" them the specifics of a certain slant/angle w/o allowing them to figure out the actual why and what-for of the events. Those who opt to "rewrite history and ignore salient events get to control the minds of the studentssubjects.