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)

Focusing on student learning rather than the deductive presentation of mathematics is stimulus not only to discover theorems and proofs but also to generate meaning of definitions and axioms before their formal articulation. Provides worksheets that enable an intuitive grasp to precede formal definition in the field of elementary group theory for…

Multiplicative calculus is based on a multiplicative rate of change whereas the usual calculus is based on an additive rate of change. Describes some student investigations into multiplicative calculus, including an original student idea about multiplicative Euler's Method. (Author/ASK)

Discusses a regression exercise that uses real-life data, has proven interesting to students in all disciplines, and is rich to demonstrate a number of the central concepts of regression analysis. (Author/ASK)

Introduces the necessary game-theoretic background and explains how game-theoretic experiments of the Matching Pennies game can be used as a classroom activity to develop intuition about saddle points. (Author/ASK)

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)

Provides examples of geometry writing projects and discusses goals and difficulties of using these projects. Explores the process of grading and allowing student revisions of these projects by using a time-saving grading method. (Author/ASK)

Describes a house-buying active learning project designed to motivate students in lower level college mathematics courses. Discusses the mathematical content, implementation, evaluation, and benefits of the project. (Author/ASK)

Presents problems to find the integrals of logarithmic and inverse trigonometric functions early in the calculus sequence by using the Fundamental Theorem of Calculus and the concept of area, and without the use of integration by parts. (Author/ASK)

Discusses the properties of the equation y"+ay=0, a basic equation in differential equations classes which is well known to have periodic solutions. Explores similar but more complicated equations using a graphing calculator to ask questions about the nature of the solutions and to generate conjectures from examples. Lists some equations and…

Demonstrates examples, one of which is an extension of "guess and check," to include variables rather than numbers. The quadratic equation az2+bz+c=0, is solved by assuming a complex solution of the form z=x+iy. Explores the use of deMoivre's theorem in deriving trigonometric identities with other examples. (Author/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…

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

Describes how constructing concept maps and writing accompanying interpretive essays can be used in a Calculus I course to improve students' understanding of important concepts and help teachers assess students' knowledge. This combined approach allows students to explicitly communicate their knowledge and a chance to view mathematics as a…