Explores what kinds of calculus-related insights seem to typify calculus-related reasoning. Introduces "qualitative calculus" in which learning is focused on synthesis. Discusses the resemblance and difference between traditional calculus and qualitative calculus, advantages of learning qualitative calculus, and how understanding qualitative…

One of the most common misconceptions about probability is the belief that successive outcomes of a random process are not independent. This belief has been dubbed the "gambler's fallacy". The belief that non-normative expectations such as the gambler's fallacy are widely held has inspired probability and statistics instruction that attempts to…

This study investigated barriers to calculator use in elementary school classrooms. Teachers (n=348) and principals (n=30) in western New York State were surveyed in 1988 about their feelings and beliefs about calculator use. Analysis of the responses found that teachers and principals believed that calculators should be used in elementary…