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)

Considers teaching strategies to help children overcome misconceptions and difficulties with the mathematical concept of angles. (ASK)

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

Presents activities to cultivate the tendency to see special qualities in numbers that can be played on certain calendar days. Includes games on the constant of the day, Fibonacci and golden ratio dates, primes, powers, December 25, and the day of the year. (ASK)

Presents an activity using geoboards to recognize similar and different relationships of triangles. (ASK)

Proposes the use of triex problems which emphasize exploration, explanation, and extraction. Provides examples of these kinds of problems. (ASK)

Discusses ways to help students improve their problem-solving skills. Presents some mathematics problems to be used in classrooms. (ASK)

Discusses the importance of communicating ideas in teaching any subject. Presents a story about an elementary-level mathematics lesson having to do with space and shape. Suggests that examining the assumptions held by teachers about the content of mathematics and how to communicate mathematics to students is very beneficial. (ASK)

Describes a house-buying active learning project designed to motivate students in lower level college mathematics courses. Discusses the mathematical content, implementation, evaluation, and benefits of the project. (Author/ASK)

Presents problems to find the integrals of logarithmic and inverse trigonometric functions early in the calculus sequence by using the Fundamental Theorem of Calculus and the concept of area, and without the use of integration by parts. (Author/ASK)

Suggests an approach in courses for mathematics majors and minors similar to the popular approach used in applied courses--using student projects. Describes strategy and implementation of the projects and provides examples from student projects on statistics. (Author/ASK)

The computer tools for interactive mathematical activity (TIMA) were designed to provide children a medium in which they could enact the mathematical operations of unitizing, uniting, fragmenting, segmenting, partitioning, replicating, iterating and measuring. TIMA were developed in the context of a constructivist teaching experiment focused on…

Presents ways to introduce number systems from finger counting to number words, to concrete materials, to the numerals invented by various societies to enhance students' number sense by learning about the systems of other cultures. (Contains 13 references.) (ASK)

Offers weekly activities for students to explore mathematics from different cultures. (ASK)

Illustrates two ways of exploring the properties of cubic polynomials. The first exploration uses a Computer Algebra System (CAS) to help students understand an important part of mathematical history, the discovery of an algorithm to find the roots of a cubic equation. The second exploration states some conditions required for a curve and finds a…