Presents eight activities that make mathematical connections across the curriculum and which help teachers learn how to design their own activities. (Author/MKR)

Describes the use of geometry now by a U.S. Department of Defense quality assurance representative and in ancient times by the Egyptians and Babylonians. Includes reproducible student worksheets on quality assurance. (MKR)

This report includes the framework, the experiences, the benefits, student attitude survey results, typical computer screen output, and BASIC program listings for PROBLEM, a general computer system for homework management in a time-sharing environment that can handle any exercise in which students must calculate numerical results from numerical…

Presents four cases of real-world probabilistic situations to promote more effective teaching of probability. Calculates the probability of obtaining six of six different prizes successively in six, seven, eight, and nine boxes of cereal, generalizes the problem to n boxes of cereal, and offers suggestions to extend the problem. (MDH)

Presents suggestions for developing algebraic concepts beginning in the early grades to develop a gradual building from informal to formal algebraic concepts that progresses over the K-12 curriculum. Includes suggestions for representing relationships, solving equations, employing meaningful applications of algebra, and using of technology. (MDH)

A year-long study in 40 eighth grade mathematics classrooms compared the effect on student achievement of teaching with meaning with algorithmic-practice teaching. In general, teaching with meaning was found to increase student achievement. However, differences in response to the methods was seen in the top, middle, and lower thirds of the…

Uses the theme of the postal service as a basis for connecting mathematics to art, social studies, children's literature, and real-life situations. Stresses communication and cooperative groups. Includes reproducible student worksheets. (MKR)

Described is a "stock market" game in which students can strengthen many mathematical concepts and skills while learning more about economics and world events. Background information on the stock market, directions for playing the game, a worksheet, and ways to integrate other curriculum areas are included. (KR)

Proposes a framework that identifies the components of number sense and the attributes of students who possess it. Discusses various aspects of three areas where number sense plays a key role: number concepts, operations with numbers, and applications of number and operation. (MDH)

Defines the mathematical concept of proportionality. Uses graphs of linear relationships to explore and make generalizations about the characteristics of proportional situations to help students critically evaluate problems involving proportions. (MDH)

Proposes helping students understand fractions by establishing connections between students' informal knowledge of fractions and the mathematical symbols used to represent fractions. Sample dialogues demonstrate how these connections can be made. (MDH)

Cryptography is the science that renders data unintelligible to prevent its unauthorized disclosure or modification. Presents an application of matrices used in linear transformations to illustrate a cryptographic system. An example is provided. (17 references) (MDH)

Described is a theorem which is generally not present in most high school geometry textbooks. Presented are two proofs and two cases which illustrate the use of the SSA theorem. (CW)

Presents a history of undergraduate math-education programs and provides results of an action-research experience in a college-algebra course setting. Argues that historical record emphasizes interdisciplinary connections and applications of mathematics, and that present-day instructors should communicate the historical and practical reasons…

Presents an investigation that focuses on estimation skills as children attempt to solve problems involving concepts of weight, volume, and counting money. (ASK)