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…

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…

Simulation studies of the performance of (potentially) robust statistical estimation produce large quantities of numbers in the form of performance indices of the various estimators under various conditions. This report presents a multivariate graphical display used to aid in the digestion of the plentiful results in a current study of Item…

Library user guides from seven large academic libraries were examined for readability using microcomputer software for analysis. Results indicated that most guides are written at or above a reading level of grade 12. Appendices summarize readability formulas and depict in a composite graph the levels of all of the guides examined. (16 references)…

One of the most remarkable devices embedded in a Microsoft Excel spreadsheet is known as the spinner. Its staggering simplicity is undoubtedly its strength. As an incrementing device that allows graphs to dance across the screen, it gives the concept of variability a whole new meaning. Spinners and their close cousins scroll bars can be grabbed…

The motion of a magnet through a coil is analysed through a model of magnetic monopoles. The magnetic flux of a monopole passing through a loop is explained and also its rate of change. By a superposition of voltages produced by the monopoles on the coils the shape of the voltage versus time graph is explained. Also examined is the interaction of…

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…

Presents a programing subroutine which will create a graphical plot that occupies any number of columns specified by user and will run with versions of BASIC programming language. Illustrations of the subroutine's ability to operate successfully for three possibilities (negative values, positive values, and both positive and negative values) are…

Discusses the hardware and software necessary to generate charts and graphs to illustrate numeric data using a microcomputer. The manufacturer, price, operating system, memory requirements, and types of graphs they can produce are given for nine graphics software packages and seven inexpensive plotters. (MBR)

This paper reports the case of a form six (grade 12) Hong Kong student's exploration of graph sketching in a computational environment. In particular, the student summarized his discovery in the form of two empirical laws. The student was interviewed and the interviewed data were used to map out a possible path of his visual reasoning. Critical…

Some of the graphing capabilities of The Geometer's Sketchpad (GSP) in the "Technology Tips" are introduced. The new graphing features of GSP allow teachers to implement the software not only in geometry classrooms but also into their algebra, precalculus and calculus classes.

Experiences in collecting and handling data are described. Activities dealing with measures of central tendency (including a computer program), measures of dispersion, an introduction to correlation, and use of graphs to display data are illustrated. (MNS)

Reviews evaluation standards that are used to assess the quality of projected graphical displays, and discusses their use in evaluating graphs created with computer graphing programs. Design standards for projected graphs are explained, and examples of three types of graphs are shown. (four references) (LRW)

This article describes an activity for secondary school students that may constitute an appropriate opportunity to discuss with them the idea of proof, particularly in an algebraic context. During the activity the students may experience and understand some of the roles played by proof in mathematics in addition to verification of truth:…

This paper analyses technology-based instruction on data-analysis with box plots. Examples of instruction taken from the research literature inform a study of two classes of 17 year-old students (upper secondary) in which the mathematical relationships that their teachers targeted are distinguished as being, or not being, relevant to statistical…