In this article, Judith V. Boettcher provides ten core learning principles that can guide technology-enhanced teaching as well as more traditional forms of instruction. Drawn from both traditional pedagogical theory as well as current research about how people learn, the ten principles integrate these findings in a helpful set of guidelines that…

Two important factors that influence problem solving are the nature of the task and the kind of knowledge brought to the problem by the solver. After a consideration of the definition of a problem, puzzle problems are discussed, as are problem representation and general processes of solution. Also discussed is the question of solving problems that…

A technique is given for solving problems involving a balance scale and a number of coins which are to be sorted in a certain number of weighings. (MP)

Presents the opinion that the learning environment of recitation classes can be vastly improved if instructors pay attention to some basic learning principles. Summarizes these learning principles and presents a specific example of their application. (GS)

Problem solving is presented as a resource for creating curriculum through reflections on intuition such as: exploring available intuitions, making explicit the intuitions used, and using intuition to generalize. (MP)

A situation is presented that is intended to lead to open-ended mathematical discussions that allow students to conjecture, discover, and prove mathematical statements. (MP)

A general method is given for determining an efficient problem-solving process for a given type problem. An application of the method is then described in an experiment involving teaching indefinite integration. (MP)

One activity concerned with describing data about students in the class and a second activity based on students' original story problems are discussed. (DT)

Presents the view that formal assignments such as problem sheets to be solved at home within a given amount of time are detrimental to the development of a mature outlook in college students. Presents an alternative to this approach. (GS)

By translating inequalities into equations (e.g., x greater than 0 can be written x- absolute value of x = 0) and forming equations for unions and intersections of solution sets, students can develop equations for polygons. The method can be generalized to yield equations in three dimensions. (SD)

Presented are three activities for teaching environmental studies using a decision-making approach. Students must locate an industry in the local area applying environmental criteria. Other objectives include developing map skills, photo interpretation skills, field study skills, collecting data from various resources, and defining man's role in…

Techniques that can be used in solving various mathematical problems are illustrated by an optimization problem and the accompanying model and solution. (MP)

A technique is illustrated for solving relative motion problems using a maneuvering board and vector algebra. The technique can be used to visually illustrate properties of vector algebra in a non-theoretical context. (MP)

Five calculator activities are described that are designed to explore ordered operations. Suggestions are given on mathematical objectives, strategies for solving, and possible extensions or follow-up activities. (MP)

Problems are discussed in which addition facts are presented using words instead of numbers. The letters are then replaced by numbers that will make the addition problems correct. (MP)