Describes learning environments, including cognitive flexibility hypertexts, anchored instruction, and computer-supported intentional learning environments. A brief history of educational technology is presented; and problems with open learning environments are discussed, including inappropriate learning theory, deficient metacognitive skills, and…

Discusses solutions to the problem of maximizing the range of a projectile. Presents three references that solve the problem with and without the use of calculus. Offers a fourth solution suitable for introductory physics courses that relies more on trigonometry and the geometry of the problem. (MDH)

Undergraduates in a computer literacy class were pretested on analogical reasoning skills. One section then received LOGO programing instruction, and the other section received nonprograming instruction on computer uses in education. Posttest results indicated that analogical reasoning skills development is a consequence of LOGO programing and…

Guidelines for college publications professionals seeking to improve their productivity include these: set priorities; consider the consequences of each project; spend minimal time on trivial tasks; focus on your goal; identify the slowest task, which may limit a project's effectiveness; make appointments; avoid taking work home; and schedule…

Illustrates various methods to determine the perimeter and area of triangles and polygons formed on the geoboard. Methods utilize algebraic techniques, trigonometry, geometric theorems, and analytic geometry to solve problems and connect a variety of mathematical concepts. (MDH)

Presents three investigations related to the game Bulgarian Solitaire. Investigations ask students to find and represent optimal solutions to the problem, to identify cyclical solution patterns for different numbers, and to respond to questions involving the number and nature of the cyclical solutions. An appendix provides answers to questions.…

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.…