A number for which the number of digits categorizes the number is called a star number. A set of star numbers having a designated property is called a constellation. Discusses nature and cardinality of constellations made up of star square, star prime, star abundant, and star deficient numbers. Presents five related problems for exploration. (MDH)

Presents two methods for solving equations. An asymmetric approach works backward from a number by reversing operations performed on a variable. A symmetric approach views the equation as a scale and performs inverse operations on both sides of the balance to solve for the variable. (MDH)

Suggests structured investigations as a method of teaching mathematics to preservice elementary school teacher. Presents an example problem that asks students to determine the maximum number of regions that can be created by connecting any two points around the circumference of a circle. (MDH)

Presents three investigations that extend the problem of counting the number of squares on a grid in two dimensions to an analogous problem of counting the number of cubes in a three-dimensional cubic array. (MDH)

Discusses the rate of fall of a wooden beam or a chimney by examining the fall of a highway lamp pole when it is sheered off at its base upon impact by a vehicle. Provides the mathematical formulas to explain and an experiment to illustrate the phenomenon. (MDH)

In the University of South Dakota's medical school clerkship program, students may choose one of three ambulatory-care settings. In one, the curriculum is problem based and student centered to enhance student interest in primary care. The new program has been successful and well received and is being further developed. (MSE)

This article, the fourth in a series on work conducted at the Texas Center for Educational Technology and the University of Texas, discusses evaluative measures needed to assess the improvements that educational technology may have on students' problem solving, critical thinking, and content-level abilities. An annotated list of standardized tests…

Reviews the history of the concept of function, looks at its relationship with other sciences, and discusses its use in the study of real world situations. Discusses the process of constructing mathematical models of function and emphasizes the importance of the roles of the numerical, graphical, and algebraic representational forms. (MDH)

In this article, constructivism is examined as an epistemological basis for school science and mathematics instruction. The nature and process of constructing scientific and mathematical knowledge in school settings is also considered. A distinction is made between truth and feasibility, and the implications for science education are discussed.…

Utilizes a computer-generated graph to solve an equation for methods using trigonometric tables or less sophisticated calculators would likely fail because of round-off errors and limitations of the instruments. Discusses how this new technology can be utilized in mathematics instruction. (MDH)

Describes alternative form of evaluation that enables the teacher to assign a grade to students problem-solving skills as they participate in a discussion to solve a problem. Discusses room arrangement, the role of the audience, grading, and secondary benefits of the method. (MDH)

Includes "Solving Teaching Problems" (Sutphin); "Teacher Effectiveness Research" (Peters); "Motivating Students across Ability Levels" (Rush, Dean); "Professional Development" (Camp, Heath-Camp); "Addressing Cultural Diversity in the Agriculture Classroom" (Ziebert et al.); "Networking to Prevent and Solve Problems in Agricultural Education"…

Computer activities can help children learn fundamental principles and collect information for use in problem solving. Because standardized tests do not accurately measure students' problem-solving skills and teacher-made tests are often unreliable, educators should peruse the "Mental Measurements Yearbook" series for more appropriate…

Discusses the contributions of issues-centered education to a multicultural education program. Suggests that middle school students will develop an open-ended attitude toward social problems that aids the development of problem-solving skills. Presents an example of a multicultural issue including background information and a script of a class…

Forty children were divided into four groups and administered the Tower of Hanoi puzzle using static and dynamic approaches. The benefits of age and ability were indicated by significant improvement from the general failure of the four- to five-year olds to the success of the majority of the high ability seven- to eight-year olds. (Author/JDD)