This is the norm, though still so many faculty are ignorant of the reality.
All of the items on the CCI should be readily accessible to a student who passed a semester of calculus with a moderate understanding. The normalized gain in a semester of calculus runs from 0.05 to about 0.25 with an average of about 0.15. Interactive Engagement classes (the largest population being University of Michigan) are a completely disjoint set of scores, running from about 0.25 to about 0.45.
On the BSDT, all of which should be accomplishable by a competent 10th grader, half the test by a competent 8th grader, only a small fraction is understood by college freshmen.
On 1/25/2012 9:00 AM, John Clement wrote: > > I find this to be a bit funny, because I have seen so many students > who have > gone through a first year traditional calculus course and can't use it. > They can't write a simple integral nor a simple algebraic equation. My son > got good grades in calculus, but still didn't seem to understand it. As a > result he couldn't apply it. He could do the mechanics, but not much else. > What is even worse I have seen students who passed calculus, but still > didn't exhibit the ability to do proportional reasoning. And the type of > courses they passed were all traditional using traditional texts. > > They simply did not understand the concepts behind Calculus. They could > sometimes recognize the name of a math principle, but recognizing that > they > needed to use it did not seem to happen. > > John M. Clement > Houston, TX > > > And my point is simply that since it isn't a comprehensive > > assessment of Calculus then it cannot be used to compare the > > effectiveness of IE to non IE classes. The only way to make a > > useful comparison between IE and non IE is to use a > > comprehensive exam. There is a lot more to owning calculus > > (or physics) than owning an inventory of basic principles. My > > impression of IE is that it works better in first year > > terminal classes than traditional methods that are geared > > toward full ownership. In other words, if someone is trying > > to be a nurse but has to take calculus (because the college > > says so) as their last ever math class, then IE might be a > > useful alternative to a real calculus class that is geared > > towards students that actually need and use calculus. > > > >
[Non-text portions of this message have been removed]