Through its impact on students in their lives in and beyond college, and recognizing the porous boundary between the classroom and the "real world," SoTL can offer insights into broader societal issues, offer evidence of activities that facilitate everyday learning, promote intrinsic motivation, better support people from…

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…

Sketches some of the shortcomings of instruction in which the major activity is that of an instructor talking to students, and which may include asking/answering questions, displaying a visual, or demonstrating a procedure; and then offers a checklist of reasons or situations that justify using lectures. (Author)

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…

This model is useful in identifying specific learning problems and in providing techniques for the teacher to motivate and teach students at all levels. What it is and how it can be used are discussed, illustrated by specific strategies for geometry and science. (MNS)

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)

A game modelled on football can be used to provide students with practice in solving algebraic equations. (SD)

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)

Described is a calculator race that is designed to require a fast touch with the calculator and also the ability to apply mathematical knowledge. Sample questions are given. (MP)

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)

Five graded sets of examples of alphametrics are provided. The puzzles are suggested for use in developing the traits of considering all possibilities and systematic working. (MP)

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)