Intended to improve mathematics education at two-year colleges and other institutions offering lower division courses as well as to encourage more students to study mathematics, this publication presents the American Mathematical Association of Two-Year Colleges' (AMATYC's) standards for revitalizing the pre-calculus mathematics curriculum and…

Over the past 10 years, national conferences and committees investigating the state of American mathematics education have advocated an increased emphasis on problem solving and mathematical modeling situations in the secondary school curriculum. However, little effort has been made to prepare secondary school teachers to use mathematical modeling…

This booklet is a collection of 45 problems that have appeared in the Problem Department of the journal "School Science and Mathematics." The booklet is divided into four parts. The first part presents 20 cryptarithms, puzzles in which letters or symbols are substituted for the digits in an arithmetical calculation, that require knowledge of…

The International Mathematics Tournament of the Towns is a mathematics competition for junior and senior high school students all over the world. The tournament began in 1980 in the former Soviet Union. Participants write contest papers locally, with emphasis on solving within a very generous time allowance a small number of interesting problems.…

Enrichment activities for fourth-grade mathematics are presented. Some of the activities reinforce principles taught in the regular program; others introduce new concepts to challenge students. The activities are divided into the following categories: number pictures; multiplying or dividing by 10, 100, or 1000; tic-tac-toe word problems; map…

Enrichment activities for fifth-grade mathematics are presented. They are intended to be a continuation of the program started in the fourth grade. Some of the activities reinforce principles taught in the regular program; others introduce new concepts to challenge students. The activities are divided into the following categories: number…

Figurate numbers based on seven geometric figures are discussed. The place of these numbers in Pascal's triangle is indicated. (SD)

This material is a supplement to existing mathematics programs for young learners. The activities presented are based on assumptions about the young problem solver which are difficult to address in standard mathematics texts. In these pages it is assumed that each learner brings to the problem-solving effort a very personal experience base and a…

This paper reports on a pilot program called "TIPS" which was designed to promote parent involvement in mathematics lessons for grades 1-6 in Creve Coeur Elementary District 76, located in a small town on the outskirts of Peoria, Illinois. The program was begun in the first year of districtwide adoption of a new math textbook which provided parent…

This booklet is a collection of puzzles, investigations, and games. They are designed to be used with large objects such as tins or stones and diagrams marked on the ground. The children are to be encouraged to use an experimental, trial-and-error approach at first, and then develop methods of solution. (MNS)

This booklet is a collection of puzzles, games, and investigations. All that children need are some stones or shells, on some of which they must write numerals. For playing with the whole class, the game or puzzles may be marked out on the floor or in sand; in that case, larger objects such as small rocks and empty tins may be used. Children are…

This report describes the content of the 115 programs comprising "Square One TV" after two seasons of production, relating that content to the three goals of the series. Appended is a listing of the shows, with complete specification of each segment's content, description, format, length, and other information. The goals and the extent…

Reducing math anxiety and building basic mathematical skills should not be treated as separate processes, but can and should be undertaken simultaneously. To do so requires a positive attitude on the part of the instructor; the establishment of an atmosphere in the classroom that encourages learning; and the instructor's awareness of different…

The goal of this material is to explore some aspects of social choice theory that are thought to have potential usefulness in the practical design of decision-making procedures. The document is divided into three chapters: (1) Power in Voting Bodies; (2) Voting Methods for More Than Two Alternatives; and (3) Recent Approaches to Voting Using…

Based on the history of mathematics, these materials have been planned to enrich the teaching of mathematics in grades four, five, and six. Puzzles and games are based on stories about topics such as famous mathematicians, numerals of ancient peoples, and numerology. The sheets are arranged by grade level and are designed for easy duplication.…