Demonstrated is how the concept of equivalence classes modulo n can provide a basis for solving a wide range of problems. Five problems are presented and described to illustrate the power and usefulness of modular arithmetic in problem solving. (MNS)

A one-semester course at the third-year level at York University is described. It tries to legitimize in students' eyes that it makes sense to talk about mathematics as well as do mathematics. Seven course themes are discussed, followed by nine problems used in the course. (MNS)

Presents a problem related to mass balances for checking the consistency of measured data from a process. Provides the solution to the problem with diagrams and calculation tables. (YP)

Describes a model for geometrical probability. Presents two examples of basic theories of probability using geometrical probability. Provides three problems using the described theorem. (YP)

The focus of this book is on a rationale and a set of strategies for problem generation in mathematics. Six chapters attempt to involve readers in the process of posing problems and in understanding why that process is important. Chapter 1 discusses two problem posing perspectives, while chapter 2 looks at the first phase of problem posing. The…

Discussed is the performance of college students on the task of solving chemistry problems involving Lewis structures. Difficulty of the task and of individual problems is described. A taxonomy of skills associated with Lewis structures is presented. (CW)

Outlines various misconceptions about problem-solving (PS) and several strategies to improve intellectual skills and strategies. Also describes the Covington Productive Thinking Program (designed to help develop PS skills) and several lesson problem sets from this series of 15 books. (JN)

Explored are various aspects of drawing graphs on surfaces. The Euler's formula, Kuratowski's theorem and the drawing of graphs in the plane with as few crossings as possible are discussed. Some applications including embedding of graphs and coloring of maps are included. (YP)

Discusses how to express an n factorial as a product of powers of primes. Provides two examples and answers. Presents four related suggestions. (YP)

Provides several problems and their solutions for a descriptive statistics course. Included are problems related to measurement, data collection, sample construction, applications, and computation. Discusses the misleading nature of statistics. (YP)

In most mathematics problem solving work, students' motivation comes from trying to please their teachers or to earn a good grade. The questions students must tackle are almost never generated by their own interest. Seven open-ended college algebra-level problems are presented in which the solution of one question suggests other related questions.…

Presented are three physics problems from the New Zealand Entrance Scholarship examinations which are generally attempted by more able students. Problem situations, illustrations, and solutions are detailed. (CW)

A number for which the number of digits categorizes the number is called a star number. A set of star numbers having a designated property is called a constellation. Discusses nature and cardinality of constellations made up of star square, star prime, star abundant, and star deficient numbers. Presents five related problems for exploration. (MDH)

Describes an exercise designed for an introductory level calculus-based physics class. Presents a problem on why a rod dipped in water is stable when it is oriented at an angle with the vertical. Discusses qualitative understanding, mechanical understanding using equations, and experimental verification of the problem. (YP)

This outline is intended for use in a unit of 10-12 lectures on plant growth and development at the introductory undergraduate level as part of a course on organismal biology. The series of lecture outlines is structured around the life cycle of rapid-cycling Brassica rapa (RCBr). The unit begins with three introductory lectures on general plant…