Four ideas dealing with applications of telling time are featured. Activities covered include sequencing routine daily events, scheduling appointments, watching television, and calculating elapsed time across time zones. Worksheets suitable for duplication are provided. The activities are considered practical and adaptable to problem-solving…

Monte Carlo methods are used to simulate activities in baseball such as a team's "hot streak" and a hitter's "batting slump." Student participation in such simulations is viewed as a useful method of giving pupils a better understanding of the probability concepts involved. (MP)

Some patterns in prime numbers and their implications for general theorems are presented. Much of the material is taken from "The Strong Law of Small Numbers," an unpublished paper by Richard Kenneth Guy. (MP)

Results of mathematics education research in problem solving activities of third-grade children are covered. The assumption that the horizontal number sentence is a useful tool for solving verbal problems is questioned. (MP)

An approach which seeks to stimulate interest in mathematics by enabling a student to use his knowledge in a nontrivial application is discussed. An example of how the approach was implemented is presented with an assessment of the results as measured by student reactions. (Author/TG)

The author advocates a return to the teaching of logic in the public schools. Methods of lessening student difficulties in learning are highlighted and current school projects are discussed. (MP)

Several activities designed to help elementary level students learn how to read calendars are presented. Problem solving and experiential learning are stressed. (MP)

The use of a 25-pin lattice geoboard in a six-week course in middle school geometry is presented, with sample activity cards and test items. Two other ideas discuss the use of algebra in solving verbal problems and teaching negative exponents. (MP)

Interesting mathematical questions that require computations involving fractions, percentages, and decimals are presented. The material is designed for students in the middle school grades, but many of the ideas could be used with higher or lower level pupils. (MP)

The use of a computer program written in BASIC to help prove a theorem in geometry is discussed. Ideas used in this example could be applied to writing programs for other geometric proofs. (MP)

Some examples of typical nonrelevant textbook problems on probability are followed by more complex problems pulled from the real world. The resource used in this report is Newsweek magazine; and is used to help demonstrate that from the very beginning, lessons on conditional probability can have relevance. (MP)

Asserting that problem solving is the most important mathematical skill that elementary students need to learn, the authors present teaching tips and sample problems geared to the primary and intermediate grades. (SJL)

A short history of mathematical Olympiads in the People's Republic of China is given. Sample problems are included. (MK)

Instructional methods used in a course designed to strengthen abstract thinking skills are described. (DT)

Defines discrete mathematics as the mathematics necessary to effect reasoned decision making in finite situations and explains how its use supports the current view of mathematics education. Discrete mathematics can be used by curriculum developers to improve the curriculum for students of all ages and abilities. (SLD)