E. Brandstatter, G. Gigerenzer, and R. Hertwig (2006) showed that the priority heuristic matches or outperforms modifications of expected utility theory in predicting choice in 4 diverse problem sets. M. H. Birnbaum (2008) argued that sets exist in which the opposite is true. The authors agree--but stress that all choice strategies have regions of…

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.

The greatest benefit of including leap year in the calculation is not to increase precision, but to show students that a problem can be solved without such presumption. A birthday problem is analyzed showing that calculating a leap-year birthday probability is not a frivolous computation.

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)

Advocates elementary math instruction that uses realistic problems or examples and that teaches children to think. Suggests methods for accomplishing these objectives, including the use of mathematical games. (SJL)

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…

The use of calculators and computers in the schools is promoted. It is stated that calculators should be used in the mathematics classroom as soon as basic operations are understood. A point is made that calculators are no greater a threat to "learning the fundamentals" than slide rules, which have been available for over 350 years. It is…

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…