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

Describes the use of investigations for the purpose of assessment, teaching, and learning. Lists types of questions that can be included in investigations. Explains how to write an investigation and provides some examples. (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)

Suggests that student writing has definite benefits for mathematics learning. Presents five activities to help teachers use writing in their mathematics classes. (ASK)

Provides practical applications of elementary coordinate geometry while discussing how mathematics is used to assess the security of systems. (ASK)

Describes some general techniques for making collapsible models, including spiral models, for all the Platonic solids except the cube. Discusses the nature of the dissections of the faces necessary for the construction of the spiral cube. (ASK)

Presents an activity on fractions and explains how students obtain different fractions having different patterns when they are represented by their decimal expansions. (ASK)

Continues analyzing some fundamental mathematical ideas on logic and proof. Provides some sample problems and their solutions. (ASK)

Presents an activity in which students study statistical concepts using data from Super Bowl games. (ASK)

This document describes a game that provides students with practice in recognizing the point symmetry of designs. It contains information on the objective of the game, game preparation, and rules for playing. Play cards are included (four to a page). (ASK)

Presents a student description of the Cape of Good Hope project in which pairs of students designed capes and cloaks out of garbage bags for a fashion show. (ASK)

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)

Presents a mathematical analysis of the game "twenty-four points" that aims to apply arithmetic operations on the four numbers to reach a specific number. This game can improve children's ability to do mental arithmetic. (ASK)

Presents a mathematics activity in which equal areas and volumes are focused upon when sharing a circular pie. (ASK)