The abstract nature of algebra causes difficulties for many students. Describes "Real-World Data," an algebra course designed for students with low grades in algebra and provides multidisciplinary experiments (linear functions and variations; quadratic, square-root, and inverse relations; and exponential and periodic variation)…

Poses a practical woodwork problem in which maximizing the perimeter of a square-based pyramid is required. The pyramid is constructed from four identical trapezia to be cut from a given rectangle of wood. A simple mathematical analysis suggests a number of different strategies for the solution of the problem. (Author/NB)

Discusses an algorithm from Vedic mathematics that has similarities to FOIL and the standard algorithm for multiplication. (Author/NB)

Employs statistical tools to determine whether the digits of Pi are pseudorandom. Discusses the difficulties in answering this question. (Author/NB)

Uses a counting book to discuss how primary-age students can begin to think about a meaning for the equals sign. Mathematical representations emerge from discussions between teacher and student. (Author/NB)

Philosophies of mathematics, applications of mathematics to social or humanistic areas, where knowledge is lodged, mathematical education at a higher metalevel, and the interpretive component of mathematical education are discussed. (MNS)

Describes a project that predicts the orbits of satellites using a TI-85 calculator. Enables students to achieve a richer understanding of longitude, latitude, time zones, orbital mechanics of satellites, and the terms associated with satellite tracking. (JRH)

Attempts to find ways to measure transcendental and irrational numbers. Provides methods for analyzing the square root of two, the natural logarithm e, and pi. (MVL)

Describes simple experiments to explore the variables and links to a theoretical approach. Using genuine data, develops an application to the drive mechanism for a lift in a deep mine shaft; poses follow-up questions. (ASK)

Discusses the construction of the pyramids mathematically with regard to the amount of workforce, time, and number of workers. (ASK)

Discusses the differences between applied and pure mathematics and provides extensive history of mixed mathematics. Argues that applied mathematics should be taught allowing for speculative mathematics, which involves breaking down a given problem into simpler parts until one arrives at first principles. (ASK)

Presents a series of elementary mathematical tools for re-representing pedigrees, pedigree generators, pedigree-driven database management systems, and case studies for exploring genetic relationships. (MKR)

Introduces a science activity where students were asked to purchase four different sizes of eggs; weigh the content of each; and determine whether small, medium, large, or extra large eggs are the best buy. Describes the data analysis process. Also introduces various science activities that make use of the egg shell. (MOK)

Describes some real-life problem situations and the mathematical applications used to solve the situations in order to promote an inquiring and problem-posing approach. (MKR)

Describes some continuous models for growth of the seaweed Macrocystis pyrifera. Uses observed growth rates over several months to derive first-order differential equations as models for growth rates of individual fronds. The nature of the solutions is analyzed and comparison between these theoretical results and documented characteristics of…