Do you mean to say that students who take the AP Calculus courses for purposes other than getting credit for college courses are prepared for those courses?
I don't recall addressing any of the issues you mention below---and don't entirely disagree with you. But I will stand by my statement that one of the possibilities (only one) for the the low pass rate is that a large fraction of students are unprepared to enroll in a calculus course.
As to aiming for "in-depth conceptual understanding of the normally troublesome components of calculus," I'm afraid that's something most college courses don't do either.
On Tue, Mar 27, 2012 at 5:37 PM, Clyde Greeno @ MALEI <email@example.com> wrote:
> " But it seems clear that > a large fraction of Florida's students who enroll in AP Calculus are > not prepared to do so,..." > > Woah! The AP Calculus program was set up and run by the College Board for > purposes of educating high school students in some or all of elementary > calculus. The AP test scores reflect *only* the number of students who > qualify for college credits at specific levels. > > Many high school students who enroll in AP calculus have no intention of > testing out of college courses. Many use it only for advanced prep for > calculus ... or even to decide whether or not the should think about STEM > majors in college. > > Many schools give students the opportunity of exploring calculus, without > expecting them to get college credit. A 70% failure rate on AP exams does > *not* equate with a only a 30% success rate for the HS courses. Depending > on what the schools are trying to do for the students who enroll in their > calculus courses, the actual success rate for a course might be 95%, while > only 5% pass the AP test. > > [Indeed, a high school course that aims for in-depth conceptual > understanding of the normally troublesome components of calculus might not > even be designed to produce good AP scored.] > > Let's be thinking!
- --Louis A. Talman Department of Mathematical and Computer Sciences Metropolitan State College of Denver