Discussed are the vital properties that an operator must have to be called a derivative and how derivatives work. Presented is an extension of the derivative that uses least squares to find the line of best fit. (KR)

Presented is a science activity which explains the discrepancies found between summer and winter solstice sunrise and sunset times. Used is a mathematical equation which takes into account the earth's changing speed and the tilt of the earth. (KR)

Activities for enhancing students' understanding and interpreting of graphical information is provided. Four worksheets and answers are given. (YP)

This study with 54 teachers of the moderately to profoundly handicapped examined whether different trends on graphs, frequencies of data collection, and interaction of trend and frequency influence teacher judgments of student performance. Results found that unless graphs indicated systematic improvement, judgments tended to differ by frequency.…

Discusses a student project visualizing the surface of a function using computer graphics. Describes topics to complete the project, function and its domain, scaling, coordinate axes, projection of the surface, sketching the graph, plotting, changing the viewpoint, and rotating the axes. Provides a BASIC program using the rotation of the axes and…

Uses the process of normalization in the Cartesian coordinate system which entails radial projection onto a transect to compare different compositions of minerals. Warns that the ternary diagram should not be used as a framework for calculations. (MVL)

Explains an activity which can be used to compare the effect of temperature on the rate of chemical reactions to the metabolic reactions that take place within the body. Outlines directions and materials needed to perform the experiment. Lists a number of the body's defenses against extremely low temperatures. (RT)

A fairly traditional precalculus problem is modified to address some common concerns with the teaching of problem solving. Areas of problem solving which are illustrated include: posing the problem; modeling the problem; transforming the data; and examining the solution. (PK)

Describes an instructional technique called "creative graphing" in which students learn to reorder information visually, to interpret the graphic aids of their textbooks more easily, to highlight relationships that are not immediately apparent in the text, and to illuminate ideas for further exploration using charts, trees, stars,…

Discusses the important role of graphs in conveying scientific information and the use of computer software in amplifying the value of graphs as tools for scientific investigation. Topics discussed include: skills required for analyzing and interpreting graphs, software design, and teaching and learning strategies. (JRH)

Presents cost analyses of building a patio, incorporating manipulatives, pattern building, graphing calculators, matrix applications, and functions. Includes reproducible student worksheet. (MKR)

Describes a method to obtain three-dimensional (3-D) representations of data on a computer using commercial data-plotting or spreadsheet analysis software in any personal computer. (JRH)

Discusses techniques for creating computer slide shows. Topics include memory; format; color use; HyperCard and CD-ROM; font styles and sizes; graphs and graphics; the slide show option; special effects; and tips for effective presentation. (Author/AEF)

Uses a TI-82 graphics calculator to model the air drag of plastic, wood, cork, and foam balls during projectiles experiments. Provides equations and typical data table. (MVL)

Presents activities that connect mathematics to real-world situations using heating bills and costs. Includes reproducible student worksheets. (MKR)