Discusses the geometric features of a building called the Alhambra in a city in the southernmost region of Australia called Granada. Describes plane patterns and analyzes those patterns while focusing on the plane symmetry. (ASK)

Presents graphing calculator activities that rely on resolving the magnitude and direction form of vectors into their Cartesian components so that they are suitable as applications for vector or trigonometric relationships for years 10-12. (ASK)

Presents an activity using the familiar fairy tale "Cinderella" to provide the context for stimulating mathematical thinking about a real life problem. Makes use of graphing calculator technology to investigate the relationship between shoe sizes and shoe lengths. (ASK)

Describes the most enduring link between Napoleon and mathematics as the geometric result known as Napoleon's Theorem, which states that if equilateral triangles are drawn on the three sides of any triangle, the line segments joining the centers of these equilateral triangles will themselves form an equilateral triangle. (ASK)

Presents a probability activity addressing students' misconceptions regarding the Law of Large Numbers. Provides students with better conceptual understanding of the Law of Large Numbers. (ASK)

Discusses issues regarding problem solving environments via problem posing. Recognizes the importance of the teacher's questions; language characteristics of problems; problem structure and feature; solution structure; teacher's questions used before, during, or after solving a problem; and introducing problem-posing questions in mathematics…

Provides classroom examples of the pervasive influence of the history of mathematics in the school curriculum at all levels. (Contains 25 references.) (ASK)

Discusses the mathematical features of the Royal Greenwich Observatory. Describes measuring latitude and longitude, pendulum clocks, telling time, and chronometers. (ASK)

Discusses the advantages of teaching with open-ended tasks and compares students' responses to open-ended, closed-area, and perimeter tasks. (ASK)

Identifies and describes some of the mathematics curriculum issues associated with graphing calculators such as equity, role of calculators, content and sequencing, textbook design, learning to use a calculator, worksheets, student decision-making, calculator dependence, assessment, electronic algorithms, multiplying choices, calculator…

Discusses problems similar to the Pythagorean Theorem as they were presented in historical mathematical texts from China and Babylon dating back to well before the time of Pythagoras. (ASK)

Discusses some surprising properties of the natural numbers set such as axioms for natural numbers and mathematical induction. (ASK)

Examines the role of variation in statistics education. Describes a chance and data unit with a focus on variation that was conducted in three high school mathematics classes. (ASK)

Discusses an algorithm that converts a fraction in simplest form into a terminating decimal and allows students to explore the efficacy and conceptual bases of a mathematical algorithm. (ASK)

Presents a professional development for 18 teachers conducted over a two-year period. Results include change in teaching practices, beliefs, reflections, and student achievement. The collaborative program was particularly useful for experienced secondary school teachers but less useful for intermediate school teachers. (Contains 24 references.)…