I don't think a student can do anything meaningful in calculus, statistics or any higher math if they don't get algebra. It's like asking me if a student can be taught creative writing when they don't understand grammar. It isn't an arbitrary decision that algebra precedes calculus.
Can a demonstration of calculus inspire students in general. The preponderance of evidence that already exists says "No", resoundingly. Can a demonstration of calculus inspire this one particular student? Only you (his teacher) would know this better than anyone here.
On Aug 19, 2012, at 2:55 PM, Peter Duveen <email@example.com> wrote:
> Well, Bob, boiled down, my topic is, 1. can calculus be taught earlier than it is generally and 2. is "enrichment," which could include such teaching, as well as all kinds of other teaching that might to some be considered off the beaten path, be used to stimulate the love of learning on the part of students who get bogged down for one reason or another in other parts of the curriculum they are required (forced under pain of law) to "learn." Something like that.