Calculus must evolve or face the prospect of becoming irrelevant. The minimum level of classroom technology now available requires us to rethink the content of our calculus courses. Proposes using graphing calculators and computer algebra systems to include the following topics: local linearity, optimization problems, families of curves, and…

In standard mathematical notation it is common to have a given symbol take on different meanings in different settings. Shares anecdotes of how this symbolic double entendre causes difficulties for students. Suggests ways in which instructors can clarify these ambiguities to make mathematics more understandable to students. (Author/ASK)

Describes what may be called the next step in making the most effective use of real-life problems in collaborative learning exercises for the classroom. Proceeds from two premises: real-life problems should be used to introduce concepts, and students need to experience mathematics as a process. Illustrates a series of group projects that develop…

Addresses the difficulties students have in acquiring graphical problem-solving skills. Presents some techniques and concepts intended to help students overcome them. Contains 15 references. (Author/ASK)

Describes a Calculus I project in which students discover the formula for the derivative of an exponential function. The project includes two targeted writing assignments and leads to several additional problems. Together these tasks provide a basis for an algebraic approach to the exponential function. (AIM)