Another way to divide a line segment discovered by Nathan Besteman is described along with Euclid's and the GLaD construction. The related projects and problems that teachers of geometry can assign to their students are also presented.

Discusses problem solving in mathematics instruction and examines the role of students, teachers, and computers in the problem solving process. Seven sample problems that require high school mathematics and some knowledge of a programing language are offered for use in exploring the problem solving process. (LRW)

Discusses the difference between a generic chemistry problem (one which can be solved using an algorithm) and a harder chemistry problem (one for which there is no algorithm). Encourages teachers to help students recognize these categories of problems so they will be better able to find solutions. (TW)

Describes how informatics is being integrated into the Bulgarian schools' curriculum through the use of microcomputers, Logo, and appropriate software. A set of problems that could be used for introducing informatics is presented which is based on the programming notions of cycle, recursion, and coding. (LRW)

Differentiates between problems, exercises and algorithms. Discusses the role of algorithms in solving problems and exercises in chemistry. Suggests that very real differences exist between solving problems and exercises, and that problem solving steps can be and should be taught in chemistry education. (TW)

This paper describes the rationale behind and the development and utilization of a bibliographic instruction course which incorporates formal abstract reasoning skills. The limitations of the search strategy technique of bibliographic instruction are discussed as well as the fact that many college students have not developed sophisticated…

Introduces the constructivist theory of mathematical learning, and illustrates its application in a curriculum focusing on fundamental concepts. How knowledge is constructed, how concepts mature, and what it means to learn and to know mathematics are presented. Pedagogical implications of adopting a constructivist perspective on knowledge and…