A method of using vector analysis is presented that is an application of calculus that helps to find the best angle for tacking a boat into the wind. While the discussion is theoretical, it is seen as a good illustration of mathematical investigation of a given situation. (MP)

Analyzes students' calculations of appliance efficiency using basic arithmetic and provides examples of energy guide labels that illustrate applications of algebra and statistical concepts. (KHR)

Discusses a numerical technique called the method of adjoints, turning a linear two-point boundary value problem into an initial value problem. Described are steps for using the method in linear or nonlinear systems. Applies the technique to solve a simple pendulum problem. Lists 15 references. (YP)

The theorem is seen as the foundation for large-sample statistical inferences, and is usually difficult for students to understand because one expects to take only one sample from a population. A description of how a table of random numbers readily available to students could be used is provided. (MP)

The concept of percentile is a fundamental part of every course in basic statistics. Many such courses are now taught to students and require them to have TI-82 or TI-83 calculators. The functions defined in these calculators enable students to easily find the percentiles of a discrete data set. (PVD)

Timing stoplights and trying to determine the best way to allocate cycle time to the two directions is discussed. The simple case and improving the model are both considered. (MNS)

Suggests that the classical exact formula for the conversion of degrees Celsius and degrees Fahrenheit is not user-friendly. Offers an approximate linear transformation that is easier to remember and use. Investigates both the exact conversion and the approximate conversion and provides interesting and relevant problems for small group…

Reviews the underpinnings of synthetic division. Shows how to quickly obtain the coefficients of the Taylor expansion of a polynomial about a point, and a partial fraction decomposition of a polynomial. (MVL)

A four-hour Introduction to Robotics lecture and laboratory course is discussed. Features of the three robot types used in the course are described, as well as how they are used in instruction. A computer program listing and two sample team projects are included. (MNS)

Investigates a way to assist students with learning differences. Considers mathematical connections appropriate in middle grades through college mathematics centered around the words "and" and "or" within the fields of logic, set theory, algebra, number theory, and probability. Teachers and students should be encouraged to investigate mathematical…

Describes examples of rational representation as a guide for translating terminology and information encountered in manuals for computers. Discusses four limitations of the representation. (YP)

Discusses the application of induction using a two-player game with sticks. Describes a winning strategy for the game with n sticks; number of moves to complete the game; and changing the rules of the game. (YP)

How a computer randomly generates numbers to turn off lighted blocks on a graphics display is discussed. A computer program is given after reviewing a definition and two theorems and applying them to the problem. (MNS)

A brief introduction to the broad field of curve-fitting is provided to help explain the reasoning behind least-squares data fitting, and also to provide useful equations for two functional forms of interest in chemistry. Appendices give program examples written in Fortran and detail the method of Guggenheim. (MP)

Describes a beginning algebra course that places stronger emphasis on learning to solve problems and introduces topics using real world applications. Students learn estimating, graphing, and algebraic algorithms for the purpose of solving problems. Indicates that applications motivate students by appearing to be a more relevant topic as well as…