This resource book for algebra contains games, tricks, and quick activities for the classroom. Categories of activities include puzzlers, patterns, manipulatives, measurement, graphing, and a section that contains reproducible statement and value cards. Twenty one puzzle problems, four pattern activities, and 11 quick activities that engage…

The high percentage of high school pre-algebra students having difficulty learning the abstract concept of graphing ordered pairs on the Cartesian rectangular coordinate system was addressed by the creation and implementation of a computer-managed instructional program. Modules consisted of a pretest, instruction, two practice sessions, and a…

A broad range of well-structured problems--embracing forms of diagnosis, catalog selection, and skeletal planning--are solved in expert computer systems by the method of heuristic classification. These programs have a characteristic inference structure that systematically relates data to a pre-enumerated set of solutions by abstraction, heuristic…

Presented is a graphical approach to teaching higher degree, rational function, and absolute value inequalities that simplifies the solution of these inequalities and thereby reduces the amount of classroom time that has to be devoted to this topic. Applications are also given for signum functions, maximum-minimum, and points of inflection…

The proceedings of the 24th annual meeting of the Psychology of Mathematics Education North American Chapter (PME-NA) contains research reports, plenaries, and poster presentations. Papers include: (1) "What Do We Believe about Teacher Learning and How Can We Learn With and From Our Beliefs?" (Deborah Loewenberg Ball); (2) "Toward Evidence for…

Illustrates the diverse ways in which the computer spreadsheet can be used by both teachers and students as a problem-solving tool in high school mathematics, and provides detailed examples of spreadsheet use in word problems. Discusses the functions of spreadsheet tables, columns, and graphs. (AEF)

Outlines a pair of projects used in introductory calculus that are inspired by techniques archaeologists use in the analysis of pottery. These real-world application problems appeal to students who are not necessarily interested in the standard application of calculus. (Author/DDR)

Described are several spreadsheet templates which use the functions of iteration and logical look-up which allow students to calculate and graph quantum mechanical functions and to simulate rotational and vibrational energy level and spectra. The templates are listed in the appendix. (KR)

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…

Discussed are the possible uses of spreadsheets in the undergraduate curriculum in chemical engineering classes. The advantages and flexibility of spreadsheets, spreadsheet instruction, graphing capabilities, assignment examples, and conclusions are described. (KR)

Durer's method for drawing an ellipse is used to explain why some people think an ellipse is egg shaped and to show how this method can be used to derive the Cartesian form of the ellipse. Historical background and suggestions for further reading are included. (KR)

Described is a way that elemental mathematics can be applied to explain an astronomical phenomenon. The fact that the extreme of sunrise and sunset do not occur on the shortest or longest days of the year is analyzed using graphs and elementary calculus. (KR)

Presents a distance and time map exercise designed as a crime scenario. Explains that students must determine whether one individual could have committed a series of crimes in a given time period. Includes graph production that gives practice in interpreting and expressing aspects of spatial information. (DK)

Discusses mathematical thinking and problems posed by seventh- grade students as part of a unit on the study of algebraic ideas. The unit involves showing how variables cause changes and also incorporates the solving of systems of equations by constructing line-graph drawings and combination charts. (AIM)

Introduces an activity that involves nature transects and requires students to use their process skills. Indicates the possible use of transects for student evaluation and examines the implementation of transects in the elementary curriculum in a multidisciplinary approach. Provides details of the activity. (YDS)