The calendar provides elementary mathematics students with open-ended questions intended to engage them mathematically in high-interest activities. No answers are provided so that students are encouraged to look alone, or in small groups, for significant mathematical evidence to develop confidence and the necessary critical thinking skills. (JJK)

Utilizes the problem of determining the number of different ice cream cones and cups that can be made from a choice of 31 flavors to investigate the concepts of combinations and permutations. Provides a set of six related problems with their answers. (MDH)

Presents a series of challenges, problems, and examples to demonstrate the principle of mathematical induction and illustrate the many situations to which it can be applied. Applications relate to Fibonacci sequences, graph theory, and functions. (MDH)

Contained in this booklet is a variety of puzzles, games, and activities for students in grades 5-8 "who are looking for an extra challenge." The activities are categorized by number, money, clock, age, fraction, line, logic, and probability puzzles, with some games for two or more players. An answer key is provided. (MNS)

Describes "Bop," a game that considers solely the sequence of letters. Words are determined to be equivalent if different letters of one word become different letters in the other word in exactly the same order. Examples of four-, five-, and six-letter words and BOProblems are provided. (MDH)

The transformation assigning to every point its inverse with respect to a circle with given radius and center is called an inversion. Discusses inversion with respect to points, circles, angles, distances, space, and the parallel postulate. Exercises related to these topics are included. (MDH)

Presents illustrated examples that promote problem solving through the student's consideration of a visible predicament from a three-dimensional viewpoint rather than the typical planar perspective. Includes six student exercises involving rays, circles, quadrilaterals, and hexagons, with hints and solutions provided. (JJK)

Presents calendars for the months of May, June, July, and August that contain problems and projects to be done for almost every day of the month. Provides instructions on how parents can utilize the calendars. (MDH)

SUPERSTARS III is a K-8 program designed as an enrichment opportunity for self-directed learners in mathematics. The basic purpose of SUPERSTARS III is to provide the extra challenge that self-motivated students need in mathematics and to do so in a structured, long-term program that does not impinge on the normal classroom routine or the…

SUPERSTARS III is a K-8 program designed as an enrichment opportunity for self-directed learners in mathematics. The basic purpose of SUPERSTARS III is to provide the extra challenge that self-motivated students need in mathematics and to do so in a structured, long-term program that does not impinge on the normal classroom routine or the…

The game "Pythagoras" is an adaptation of the tangram puzzle. Describes the process of finding all the possible convex polygons with seven sides to prove that the solution to a given puzzle shape of seven sides difficult to find was not possible. (MDH)

Challenges the readers comprehension of mathematical induction by presenting four examples of arguments that misrepresent the concept. Discusses the reasons why the arguments lead to false conclusions. (MDH)

Since 1982, the National Council of Teachers of Mathematics has published a student periodical five times a year. Each four-page issue focuses on a single theme, developing it from a simple opening-page activity through more challenging extensions at a higher level of understanding. In this document each four-page issue published from September,…

In this middle school mathematics unit two imaginary characters, Horatio and Portia, decide to make their fortune in Quincy Market (Boston, Massachusetts) running a Bull Market cart. In order to solve the problems that they encounter, they need to learn ratio and proportion, map reading, estimation, area and perimeter, population sampling, problem…

This document provides a description of the competitions involved in the Mathematics Olympics held in the Springfield Public Schools (Missouri). It provides descriptions of the team events (which involved a scavenger hunt, computers, and computations) and the individual events (which involved applied geometry, calculators, conversion from ratio to…