Presents the problem of finding the maximum area of a quadrilateral when three of the four sides are given. Incorporates several parts of the secondary school precalculus curriculum into the solution. Develops the formula to solve the problem. (MDH)

Presents an approach to the concept of absolute value that alleviates students' problems with the traditional definition and the use of logical connectives in solving related problems. Uses a model that maps numbers from a horizontal number line to a vertical ray originating from the origin. Provides examples solving absolute value equations and…

Discusses the equation and proportion methods for teaching how to solve percent problems. Supplements the teaching of each method by introducing a representational model that enhances understanding when solving percent problems. (MDH)

This study demonstrated the effectiveness of history strategy instruction that emphasized problem-solution-effect analysis and linkage of knowledge, in teaching 24 junior high students with behavior disorders. Instruction included a scripted curriculum, student note taking, construction of timelines, vocabulary definitions, and reciprocal…

Explores alternative strategies to solve algebraic equations that do not lend themselves to traditional methods. Examines one nontraditional equation by a graphical approach using a graphing utility and by a numerical approach using spreadsheets. Discusses new basic skills for algebra utilizing technology. Provides a computer program to solve…

High school students (n=295) were administered variants of the student-professor problem to ascertain whether errors could be traced to implicit versus explicit relationships between the variables. Concludes that implicit variable relationship problems were harder than explicit variable relationship problems. A follow-up study to explore why is…

Examines the problem of determining the minimum center of mass for a can with a varying height of liquid in it. Uses PC SOLVE computer software to graphically represent the problem situation. (MDH)

Reacts to Ohlsson, Ernst, and Rees' paper by initially discussing the costs of methodology that utilizes artificial intelligence (AI) to model cognitive processes. Raises three concerns with the paper: insufficient clarification of the meaning of conceptual versus procedural understanding of base-10 subtraction; realism of the learning model; and…

A study of a team-building workshop demonstrates that all four levels of Donald Kirkpatrick's classic evaluation model could be applied to soft skills training. Results show that such training can be tied to productivity measures and evaluated as a return on investment. (JOW)

The growth of personal autonomy was studies in a reflective, inquiry-oriented teacher education program, analyzing how often beginning teachers displayed critical reflection when their self-directed seminar focused on authority. Findings indicated the nondirective seminar devoted to promoting personal autonomy and collaboration did not meet…

Describes the use of Smalltalk-80, a French programing language, to teach young children to program effectively using object-oriented concepts. Learning processes involving problem solving and programing are examined, the object-oriented environment is discussed, teacher training is described, and future work is suggested. (21 references) (LRW)

Describes the use of expert systems in elementary school classes that focused on developing thinking skills and independent learning. Expert systems as tools, tutors, and tutees are discussed; differences in learning styles are considered; problem-solving skills are addressed; and uses of expert systems in science and social studies are described.…

Presented is the idea that art can be used to present early concepts of geometry, including the notion of the infinite. Discussed is the symbiosis that exists between the artistic and mathematical views of points, lines, and planes. Geometric models in art and using art in the classroom are discussed. (KR)

Presented is the best understanding of the flaw discovered in the optics of the Hubble Space Telescope and the possible solutions to the problems. The spherical aberration in the telescope's mirror and its effect on the quality of the telescope's imaging ability is discussed. (CW)

Presented is a way to provide students with a review and an appreciation of the versatility of pointers in data structures by improvising with binary trees. Examples are described using the Pascal programing language. (KR)