Provides information on knot theory and its properties. Presents an activity for grades 9-12 on the applications of knot theory and some unsolved questions in the theory. (ASK)

Describes the use of an extended problem-solving assessment task with a Japanese secondary class. Argues that extended problem-solving tasks have the potential to illuminate a much wider range of student performance and to offer learning opportunities almost never realized with more traditional--albeit often quicker--forms of assessment. (ASK)

Describes an activity presented in sports fishing magazines on developing a formula that predicts the weight in pounds of a game fish given its length in inches by using a TI-83 graphing calculator. Highlights the importance of using real-life problems and mathematical explorations. (ASK)

Attempts to shed some light on the relationship between parents and mathematics teachers by examining the role that parents play in mathematics education reform at eight high schools and one laboratory school. (DDR)

Discusses the value of introducing students to problems that lend themselves to long-term, in-depth analysis at different levels of intellectual accomplishment. Focuses on one such problem in detail. (DDR)

Presents new proofs of the Pythagorean theorem while exploring examination questions. Briefly reviews the work of Elisha Scott Loomis, a mathematician who amassed 320 different proofs of the theorem. (DDR)

Presents several examples of investigations which demonstrate the following: (1) algebra is connected to other mathematical topics; (2) algebra is an effective tool for representing patterns and relationships; and (3) algebra is an effective tool for analyzing patterns. (DDR)

Describes an interdisciplinary project encompassing English, history, public speaking, and mathematics that allows students to experience success with integrating mathematics into real world experiences. (DDR)

Presents an activity that illustrates the application of mathematics to modern navigation and utilizes the Global Positioning System (GPS). GPS is a constellation of 24 satellites that enables receivers to compute their position anywhere on the earth with great accuracy. (DDR)

Describes a statewide project in Vermont in which teachers developed a scoring rubric containing criteria that promote a common understanding of what constitutes effective problem solving and the assessment of effective problem solving. (DDR)

Argues that technology influences mathematics education by enabling students and teachers to discover and demonstrate generalizations and properties that were unthinkable a few years ago. Focuses on one example related to a paradox involving parabolas. (DDR)

Argues that mathematics educators face a new set of challenges and choices as society becomes more information-based and demands a higher level of mathematical literacy. Compares the mathematical content of eighth-grade lessons across different countries. (DDR)

Presents the classroom activity of finding a Hamiltonian circuit that helps students understand the properties of geometric shapes and symmetry. (ASK)

Describes how students in a 10th-grade geometry class discovered relationships that led to the development of conjectures, theorems, and directions of proofs regarding the centroid of a triangle. (ASK)

Presents lessons with activities that integrate a science unit about seasons, energy from sunshine, and radiation from the sun, with a mathematics unit about angles and trigonometric functions. (ASK)