Provides an activity for determining the relationship between the displacement of light rays passing through a plate of transparent material and the angle of refraction for the material. Describes related concepts and skills, prerequisites, objectives, rationale, content background, lesson outline, worksheet, evaluation, teacher notes, and…

Describes a five-step graphing method for various trigonometric periodic functions. Emphases is on teaching constants and functions. (YP)

Discusses a student project requiring a student to sample a population of interest to obtain a set of data, compute the necessary descriptive measures, and make a conclusion based on the data. Described are the introduction phase; formats; handout material; and suggested projects for individual and teams. (YP)

The problem of finding all topological spaces is considered. Two characterizations are presented whose proofs involve only elementary notions and techniques. The problem is appropriate for students in a beginning topology course after they have been presented with the Embedding Lemma. (DC)

Provides an overview of a course, "Applied Linear Algebra," for teaching the concepts and the physical and geometric interpretations of some linear algebra topics. Describes the philosophy of the course, the computer project assignments, and student feedback. Major topics of the course are listed. (YP)

Describes the understanding, nature, and meaning of mathematical culture and the implications of mathematical culture for mathematics education. (YP)

Provided are examples from many domains of mathematics that illustrate the Fubini Principle in its discrete version: the value of a summation over a rectangular array is independent of the order of summation. Included are: counting using partitions as in proof by pictures, combinatorial arguments, indirect counting as in the inclusion-exclusion…

Clapping music for two performers provides the basis for a series of mathematical problems in combinatorics and group theory. A discussion provides insight about how to avoid overlooking global extrema in constrained max-min problems when solving systems of algebraic equations. (JJK)

To illustrate that the writing and utilizing of declarative language programs can be a straightforward task in a logic class, a logic system is defined and a truth-table generator and validator are implemented using PROLOG programing language. Also, using BASIC programing language, an example of a contour map is presented. (JJK)

The complexity of the proof of the Fundamental Theorem of Algebra makes it inaccessible to lower level students. Described are more understandable attempts of proving the theorem and a historical account of Euler's efforts that relates the progression of the mathematical process used and indicates some of the pitfalls encountered. (MDH)

Presented is a brief outline of a team teaching project for a history of mathematics course directed toward preservice mathematics teachers. A main advantage cited is a distributed workload that engages the cooperation and support of the entire faculty. (JJK)

Described are ways that specific concepts from abstract algebra can be programed using the software package features of the Ada Programming Language, which is the primary language of the Department of Defense. Included are typical programs with their respective outputs. (JJK)

Presented is a simple method which may be used to determine points of intersection in graphs of functions if they do exist. Several examples are given with illustrations of the functions. (CW)

Discussed are the geometric patterns formed when two geometric patterns are superimposed. General moire fringes, circular and line gratings, physical applications, and projects for students are described. (CW)

The purpose of this paper was to provide professors of research methodology and statistics with an annotated bibliography of articles that can be used to teach a particular statistical technique as well as to illustrate specific concepts in research methodology. By using these articles in intermediate and advanced statistics classes, instructors…