Presents an activity in which students try to find the least common multiple (LCM) for two numbers using calculators. (ASK)

Determines the theoretical probability that a regular polygon will cross a crack when dropped onto floorboards. By following two special cases, a pattern emerges that enables students to consider the general case. (ASK)

Focuses on subitizing, the ability to recognize small numbers of objects. Discusses when and how it develops and whether it should be taught. Contains 31 references. (ASK)

Presents an activity that focuses on the features of ellipses and the concepts of limit and infinity. (ASK)

Shares some explorations of Fibonacci sequences with a special focus on problem-solving and posing processes. (ASK)

Presents an activity in which the subject is the identity of the team in the greatest jeopardy of becoming the big loser in a basketball tournament. Explores several facts about the big loser, offering them in a hierarchy appropriate for creating various short- and long-term projects for a high school mathematics class. (ASK)

Provides examples of the uses of proportions from the fields of mathematics and science. (ASK)

Features a brief description of fractals and their characteristics, some example activities, and an argument for including fractals in the mathematics curriculum. (ASK)

Describes a game in which students strengthen their number sense by using mental mathematics to find and check factors and multiples of numbers up to 100. (ASK)

Illustrates how open-ended items offer teachers knowledge of students' understanding on which to base instructional decisions. Presents some items teachers might use to assess their students' understanding of decimals. (ASK)

Produces algebraic solutions by reducing the problems to equations and arithmetic solutions that do not use variables. Investigates how the arithmetic solution helps students better understand the problem before they approach it algebraically and how logic used in solving the problem arithmetically can be directly linked to the algebraic…

Provides examples of geometry writing projects and discusses goals and difficulties of using these projects. Explores the process of grading and allowing student revisions of these projects by using a time-saving grading method. (Author/ASK)

Introduces handling data as conceived by Euclid, which provides some interesting possibilities for students to investigate fundamental geometrical ideas as well as relating some elementary geometry with elementary trigonometry. (ASK)

Presents six examples illustrating both the way in which the level of mathematical demand has been raised, and ways in which the response has sometimes been inadequate with the use of graphing calculator technology. (ASK)

Presents an activity that uses the world wide web to teach mathematics. The activity integrates science, language skills, and mathematics with higher levels of problem solving. (ASK)