Presents an activity for constructing and solving radical equations which can be done with or without the use of graphing calculators. Highlights one method that two students used to solve radical equations. (ASK)

Describes a project involving a short car trip in which students experience an early opportunity to work in teams, think about mathematics, gather and analyze speed and distance data, and produce a report on their findings. Provides a typical-authored solution. (Author/ASK)

Presents an experiment to design a precalculus topic that would help prepare students for limits in differential calculus. Emphasizes the topic to enhance the interpretation of graphs and to be applicable in both technology-based and traditional precalculus courses. Uses graphing calculators to help students observe the results of their…

Presents a project that explored student choice of a solution method for quadratic inequalities. Students were first instructed in the use of the case, critical-number, and graphical methods using the graphing calculator. The majority of students chose graphical methods of solution. (DDR)

Describes the ways in which a problem-based learning (PBL) approach to teaching precalculus can prepare students for calculus by helping students develop a conceptual understanding rather than learning through symbol manipulation and memorization. Discusses the exponential, trigonometric, polynomial, and rational function modules employed. (NB)

Presents two real world applications that use derivatives and are related to computing the distance required to stop an airplane. Examines the curve-fitting techniques used to develop an equation for braking force and develops equations for the deceleration and speed. (DDR)

Discusses three different writing assignments used in calculus courses. The assignments represent personal, informational, and blended purposes. (Author/MM)

Presents an exploration of conversation in a single episode of a 12th grade girls' calculus class. Analyzes Habermasian communicative competence which requires students to show critical thinking and the ability to express their views. Explains learning outcomes by teachers' mode of questioning, cooperative endeavor by students, instructional…

Describes a two-semester numerical methods course that serves as a research experience for undergraduate students without requiring external funding or the modification of current curriculum. Uses an engineering problem to introduce students to constrained optimization via a variation of the traditional isoperimetric problem of finding the curve…

Discussed is the tendency of students to equate the concepts of continuity and connected graphs based on their lack of an understanding of such concepts as limit points, closed sets, and connected sets. Included is a theorem with three lemmas with their proofs. (KR)

Discussed is the problem of inscribing a rectangle of maximum area in a given right triangle. Answered is whether there is an advantageous orientation and whether a corner of the rectangle of maximum area can lie on the midpoint of a leg of the triangle. (KR)

Describes a successful remedial calculus program targeted at Black and Hispanic students at the University of California at Berkeley designed to resemble an honors program that has been replicated at three other institutions. The program emphasizes collaborative study. (FMW)

Describes the behavior of five calculus professors and their students based on observations of calculus classes. Results showed that the dominant mode of instruction was lecture and students were usually not actively engaged in doing mathematics. (14 references) (Author/MKR)

Gives a general description of reformed calculus efforts and describes experiences with two reformed calculus programs together with traditional calculus. Also provides comparisons between these three programs using teaching evaluations and student journals. (Author/MKR)

Researchers examined the effect of university math classes on students' grades in economics. Student surveys, files, and TUCE-III exam data indicated that students' learning of economics was not enhanced by having completed introductory calculus, though students had to study less if they completed the business math series before taking economics.…