Provided is a mathematical recreation to strengthen student mathematics skills. The object of the activity is to build up an expression using the four digits of the current year, without rearranging the digits and using combinations of operations, to equal a prescribed value. Descriptions and examples are included. (RT)

Described is a lesson in which the midpoint of the measuring stick (center of gravity), the balance point of the stick (fulcrum) and the arithmetic mean are assumed to be the same point. Provides content background, lesson outline, procedure, evaluation, teacher notes, and diagrammatical representations. (RT)

Introduces "The Bouncing Ball Project" made for teaching mathematics through practical mechanics. Describes four activities in the project: what is bounciness; drop height and rebound height; timing the bounces; and extension activities. Provides many worksheets, graphs, and a list of five other projects. (YP)

Describes a process of mathematical investigation involving generalized Fibonacci sequences. Provides the derivation using expressions, BASIC programs, and numerical verification. (YP)

The Television Programming Challenge was designed for junior high school students to show applications of mathematics in the real world. Eight-member groups were paired to attend seminars on different skill areas, and then worked together to report on a television schedule. (MNS)

A visual model of fractions, the tower of bars, is used to discover patterns. Examples include equalities, inequalities, sums of unit fractions, sums of differences, symmetry, and differences and products. Infinite sequences of numbers, infinite series, and concepts of limits can be introduced. (DC)

Computer software with graphic representations of functions can teach algebraic concepts, or can blur or obscure concepts of great importance. Making good use and bad use of visual imagery are each discussed. Then a general theory of interpretation of graphs is proposed, and a list of examples is presented. (MNS)

The author defines and discusses the cognitive theory of constructivism as it relates to teaching mathematics. It is suggested that the philosophical and theoretical view of knowledge and learning embodied in constructivism offers hope that educational processes will be discovered enabling students to acquire deep understanding rather than…

The article discusses the classic problem: "Given an equilateral triangle and a point P inside the triangle, what is the sum of the distances from P to the three sides?" The problem is used to illustrate the generative nature of problem-posing using the heuristic "What happens if...?" (PK)

The authors argue that mathematics curricula and teachers should set as objectives the development of logical processes, concepts, and language. The teaching materials described in this article have been used to help second, fourth, and seventh graders become skillful in the use of logic. (PK)

Discussed are trends in performance across the last three National Assessment of Educational Progress (NAEP) mathematics assessments for students in grades 7 and 11, and reports on indicators of instructional activity. The results suggest that achievement in mathematics has taken a modest upturn in the 1980s. (MNS)

Discusses making tessellations by using a polyomino. Illustrates the various ways for various shapes of polyomino. Provides several diagrams and instructional guides. (YP)

Presents a day of activities to encourage students to participate in mathematics. Five contests include poster; model; mathematics puzzle; mathematics problem challenge; and essay. Some student entries and the rules for each contest are described. (MKR)

Presents a historical overview of learning theories in mathematics education applied to the teaching of integers. Theories discussed are meaning vs. rote learning; direct vs. incidental; discovery vs. exposition; concrete vs. abstract; and construction vs. transmission. Includes a reproducible activity sheet and 19 references. (MKR)

Deficits common among secondary students with learning disabilities or mathematics deficiencies are considered, along with a strategy to teach upper level mathematics, such as algebra or calculus. The strategy involves use of a mentor to help students to comprehend mathematics vocabulary, develop their own problem-solving strategy, and create a…