I used to be “knee jerk” for “Common Core” because I perceived so many Red and/or low achieving states “watering down” their education standards to be able to say they were “better”, graduated more high school seniors etc.
I have just finished reading The Math Myth and other STEM Delusions by Andrew Hacker, a retired Professor. In both the NY Times OpEd piece and this book he calls into question the Math portion of the Common Core.
He critiques what it teaches, how what is taught is being measured by standardized testing and if the measurement is sexually biased. Apparently problem solving strategies are different between male and female students (and Adults I presume). Current standardized testing is biased towards fast, “correct” test strategies/guessing something many males do well.
He argues successfully, I think, that Arithmetic-based courses in “Quantitative Reasoning” are much more useful for the educated citizen that Algebra is. He makes a GREAT case for booting pure algebra out of high school and college math requirements. So what is he advocating?
Addition, Subtraction, Multiplication, Division, Percentages, solving for the unknown so you can figure out how much you need to change for a cooking recipe, practical understanding of statistics and probability without having to derive the underlying algebra and/or calculus. Applied statistics for gambling. Etc.
He also points to “The New Math” that I was exposed to in 7th-8th grade in 1962 as another example of “the myth”. My wife is a retired Chemical Engineer. She told me years ago that they didn’t use the math taught in Engineering school to calculate results. They used tables and other references.
So the next step for me is to locate a course or book to work through the topic of “adult arithmetic” or “numeracy” [John Allen Paulos]. I am still looking around for something good on these topics. If you have an idea please let me know.