Three categories of graphs are discussed: real, representational or pictoral, and symbolic. Real graphs are very useful for teaching basic graphing concepts to K-6 students. Three steps in graph making are described: ask the question; collect and organize information; label the graph. A detailed guide to several graphing activities is included.…

Presents 10 rules for effectively using graphs as performance improvement tools. Pie charts, bar graphs, cumulative graphs, and scatter diagrams are discussed, and a case study illustrates how setting goals and using graphs for feedback on performance can be effective. (LRW)

Discusses the importance of accurate graphic presentation and describes graphs available on "LabQuest" computer software. Highlights include graphing conventions; prerequisites for computer graphing; bar graphs; pie graphs; stacked bar graphs; line graphs; x/y graphs; scatter graphs; box plots; stem and leaf graphs; best fit graphs; and…

Discusses how to set the size of the viewing window for a graphing calculator so that it is "user friendly" for all levels of students. Visually correct graphs, numerical interpretation, determining screen size, and setting friendly windows are addressed. (AIM)

Explains the basics of isotopic dating methods and the use of isotopic dating methods in geochronology. Presents irrelevant discussions of a creationist's views on Isochrons. (YDS)

General strategies used to help discover, prove, and generalize identities for Fibonacci numbers are described along with some properties about the determinants of square matrices. A matrix proof for identity (2) that has received immense attention from many branches of mathematics, like linear algebra, dynamical systems, graph theory and others…

A description of the Microsoft Excel spreadsheet simulation, Anharmonicity.xls that can be used to smoothly and continuously switch a plotted function and its quadratic approximation is presented. It can be used in a classroom demonstration or incorporated into a student-centered computer-laboratory exercise to examine the qualitative behavior of…

The power of mathematical inscriptions, such as graphs, is often attributed to the fact that they summarize a lot of information independent of their contextual particulars. There is evidence, however, that even quintessential experts and scientists have difficulties interpreting graphs when they are unfamiliar with the entities represented and…

In contemporary academic literature and in many national curricula, there is a widespread acceptance that critical thinking should be an important dimension of Education. Teachers and researchers recognize the importance of developing students critical thinking, but there are still great difficulties in defining and assessing critical-thinking…

This study documented efforts to facilitate ideas of beginning inference in novice grade 7 students. A design experiment allowed modified teaching opportunities in light of observation of components of a framework adapted from that developed by Pfannkuch for teaching informal inference with box plots. Box plots were replaced by hat plots, a…

This study of student performance in an online Algebra course looked at the development, implementation, and evaluation of interactive tools for graphing linear equations. The study focused on an interactive tool that was evaluated with virtual school Algebra students for a challenging component of the course. The performance of these students in…

The Cognitive Tutor Authoring Tools (CTAT) support creation of a novel type of tutors called example-tracing tutors. Unlike other types of ITSs (e.g., model-tracing tutors, constraint-based tutors), example-tracing tutors evaluate student behavior by flexibly comparing it against generalized examples of problem-solving behavior. Example-tracing…

In this article, the learning progress of one fifth-grade student is examined with regard to the development of her graph interpretation skills as she participated in the Junior Science Institute (JSI), a two-week, science intensive summer camp in which participants engaged in microbiology research and application. By showcasing the student's…

In this exercise the US Standard Atmosphere is used as "data" that a student is asked to model by deriving equations to reproduce it with the help of spreadsheet and graphing software. The exercise can be used as a laboratory or an independent study for a student of introductory physics to provide an introduction to scientific research…