Shows the connections between Sherlock Holmes's investigative methods and mathematical problem solving, including observations, characteristics of the problem solver, importance of data, questioning the obvious, learning from experience, learning from errors, and indirect proof. (MKR)

Introduces the concept of artificial intelligence, discusses where it is currently used, and describes an expert computer system that can be used in the technology laboratory. Included is a learning activity that describes ideas for using intelligent computers as problem-solving tools. (Author/CH)

Analysis of arithmetic problem-solving difficulties among secondary school learning disabled students (N=63) indicated students had the most difficulty with problems of the indirect type and problems that contained extraneous information. Teaching suggestions are offered. (Author/DB)

Presents a sample HyperQuiz, a strictly-for-fun, genius trapping contest for occasions when the syllabus and coverage do not bear down too severely. Promotes collaboration between students, library research, and development of scientific thinking skills. (JRH)

The lesson plans in this book engage students by using a tool they enjoy--the Internet--to explore key concepts in algebra. Working either individually or in groups, students learn to approach algebra from a problem solving perspective. Each lesson shows learners how to use the Internet as a resource for gathering facts, data, and other…

Students read a fact situation, identify the constitutional issue, find and analyze the portion of the Constitution that treats the issue, and consider the analysis to be an hypothesis that will be supported or will fail when examined in light of reference material, such as Supreme Court case summaries. (RM)

Discusses the continuity equation and presents two real-life problems involving salmon survival and the construction of dams. (JRH)

Explores trapezoidal numbers, which are the result of subtracting two triangular numbers. Includes classroom activities involving trapezoidal numbers to help students develop their problem-solving skills. Includes reproducible student worksheets. (MKR)

Focuses on solutions to a single problem using both induction and deduction by utilizing a TI-82 graphing calculator to illustrate symbolic, numerical, and graphical approaches to the problem. (ASK)

Presents a method for solving linear equations involving the use of inverses instead of memorizing rules. (MKR)

Describes activities that have been successfully implemented by an expert during a mathematical problem-solving course. Focuses on the identification of the qualities of these problems used to promote the development of student strategies and values that reflect mathematical practice in the classroom. Contains 17 references. (ASK)

By enabling students to mediate their own disputes, educators may be synthesizing the finest potential in the school--the creative, constructive dynamic inherent in conflict. This article describes a mediated dispute resolution program used in several schools and offers implementation advice. (MLH)

The often-neglected strategy of looking back is discussed, with an example. Considering what-if-not is described with generalizations of the problem. (MNS)

A computer program has been developed in which students explore problems, invent solutions, and search for supporting data. The nine units of "Historian" are each built around a major historical problem or question related to United States history. The structure of the program and its use by students are described. (JN)

Describes how Newton's Law of Cooling and the Method of Mixtures are used to solve the basic dilemma of whether to add the cool cream to the hot coffee or to let the black coffee cool down first and then add the cream. (ZWH)