Examples are given of problems which can be solved pictorially, thus aiding in the general development of geometric intuition and in developing some of the basic ideas of probability. (MP)

Graphing techniques are used to demonstrate the inverse function theorem and that the graph of the inverse function can be obtained by flipping the graph about the line y=x. (MP)

A geometric interpretation of the Fundamental Theorem of Calculus is provided and its use is suggested as enhancing student understanding. (MP)

Student errors led to this exploration of the conditions under which log of x base a = x. The discussion requires only techniques contained in a first-year calculus course. (MP)

An example is given of a lesson that mixes the manipulative skills of algebra with some problems and concepts of calculus; namely, the determination of tangent lines and extrema using synthetic division. (MP)

An approach to differentiation is illustrated. (DT)

A geometric method for constructing one infinite geometric series is described. The unit of the sum of the series is analyzed, and the behavior of the sum near two points is studied. (DT)

Describes a calculus review game based on the popular game show "Wheel of Fortune." (Author/NB)

A discrete version of L'Hopital's Rule is presented, with a proof. This version enables one to evaluate the limit and handle other similar problems. (MNS)

Gives an example of one danger of using graphing software without an accompanying mathematical analysis by illustrating what might happen if a student were capable of dealing with the drawing of the complete graph of a function only by using a technological tool. (MKR)

Explores first-year students' understanding of fundamental calculus concepts using written tests and interviews. Analysis of the written and verbal responses to the test items revealed significant misconceptions on which students' mathematical activities were based. Describes some of those misconceptions and errors relating to students'…

Presents a murder mystery in the form of five Calculus I worksheets in which students must apply mathematics to determine which of the suspects committed the murder. Concludes that effort was made to create scenarios that realistically lend themselves to the use of mathematics. (Author/ASK)

Explores a method of teaching called Peer Instruction. Describes how Peer Instruction was implemented in physics and summarizes the results. Discusses the way in which Peer Instruction was modified to be used in an introductory single variable calculus course. (Author/ASK)

Reviews recent research into the effectiveness of the graphing calculator as a tool for instruction and learning within precalculus and calculus, specifically in the study of functions, graphing, and modeling. Contends that much research fails to provide clear guidance or informed debate regarding the role of graphing calculators in mathematics…

Pre- and posttests and interviews concerning misconceptions and alternate conceptions of rates of change were administered to (n=42) students in first-semester calculus using a conceptually-motivated curriculum. Suggests that an emphasis on visual representations through construction and interpretation in conjunction with teacher-student analysis…