Indicates the shortcomings of paper-and-pencil tests. Reports the effect of an interview-and-teaching method for students who obtained correct answers by a mechanical process but lacked a conceptual foundation. Five references are listed. (YP)

Emphasizes the importance of problem-solving attitudes when the problem solver is waiting for a breakthrough. Discusses the classroom use of five components of "mathematical disposition" from the chapter on "Evaluation" in the "Curriculum and Evaluation Standards for School Mathematics." Nine references are listed.…

Describes an activity to solve an applied problem using a random-number-based simulation. Provides objectives, prerequisites, directions, extensions, answers, a computer program, and worksheets for the activity. Six references are listed. (YP)

This study compared the effectiveness of a diagrammatic and a keyword method of teaching mathematics problem solving to 70 learning-disabled junior high school students. Results indicated no significant difference between problem-solving performance by students taught with different methods. Potential factors explaining inconsistencies between…

Selects five critical elements for success in problem solving in mathematics and in computer programing: general strategy; planning; logical thinking; variables; and debugging. Describes the role of the five elements based on a literature review. Forty-one references are listed. (YP)

Outlines differences between classical statistics and exploratory data analysis. Provides examples in the use of the exploratory techniques. (YP)

Describes students' misconceptions related to surface area and volume of solid body. Recommends changes in the National Curriculum for Mathematics to make an easy transfer from elementary to secondary school. Provides a table showing diverse levels of the content. (YP)

Responds to Crowley's and Wilson's articles on the reliability of the van Hiele Geometry Test. Discusses the issue of the difficulty of trying to maximize content validity while minimizing measurement error. (YP)

Reviews two computer software programs: (1) "Conquering Ratios and Proportions" using a medieval theme for guided practice in identifying and forming ratios for grades 5-8, and (2) "Percent Word Problems" providing problems for finding a percentage of a number and a number from a percentage. (YP)

Identifies and discusses the overlap between mathematics and physics at different educational levels. Presents some examples of the overlap and some suggestions for teachers. (YP)

Discusses the use of the mathematics classroom for discovering the relationship among computers, mathematics, and real-world problems. Provides three probability problems and compares the results of three methods, actual trial, computer simulation, and mathematical solution. (YP)

Discusses using the computer to promote versatile learning of higher order concepts in algebra and calculus. Generic organizers, generic difficulties, and differences between mathematical and cognitive approaches are considered. (YP)

Discusses the calculation of pi by means of experimental methods. Polygon circle ratios, Archimedes' method, Buffon's needles, a Monte Carlo method, and prime number approaches are used. Presents three BASIC programs for the calculations. (YP)

Provides methods of teaching negative number operations, including addition, subtraction, and multiplication. Presents examples and activities for the operations. (YP)

Describes several phenomena in which interesting properties of numbers are demonstrated. Includes discussions of amicable, perfect, and sociable numbers. Presents computer programs for conducting a number chain search. (RT)