Single-case experimental designs (SCEDs) have a long history in clinical and educational disciplines. One underdeveloped area in advancing SCED design and analysis is understanding the process of how internal validity threats and operational concerns are avoided or mitigated. Two strategies to ameliorate such issues in SCED involve replication and…

In science in general and in the context of single-case experimental designs, replication of the effects of the intervention within and/or across participants or experiments is crucial for establishing causality and for assessing the generality of the intervention effect. Specific developments and proposals for assessing whether an effect has been…

Why would anyone think of teaching and learning mathematics directly from primary historical sources? We aim to answer this question while sharing our own experiences, and those of our students across several decades. We will first describe the evolution of our motivation for teaching with primary sources, and our current view of the advantages…

This article will expand upon the techniques of Criminologist, D. Kim Rossmo, and Social Psychologist, David Canter for determining a serial criminal's base of operations. The basic framework for our investigation is that of Rossmo, but uses a different criterion for analysing the relationship of points within the hunting area defined by the crime…

Charts and graphs are ubiquitous in business documents, and most students in the author's business communication courses are well aware that they need to be able to create many different types of data representation. Most of them have had a great deal of experience working with spreadsheet applications, and they know how to manipulate data and…

This article is the third in a series describing the steps in using data-based decision making to inform intervention and, ultimately, improve outcomes for children. Whereas the first two articles describe identifying and measuring important behaviors to target for intervention, the purpose of this article is to describe basic considerations in…

Students are often told to use representations to solve mathematics problems, yet it may be a hindrance for many. This article contains an approach, the Graphic Representational Analysis Process, that teachers can use to analyze representations and focus future instruction. (Contains 7 figures.)

The use of computer graphic techniques with basic student enrollment statistics is examined to promote understanding of changes in student flow as a function of spatial distribution. Basic initial student enrollment data that serve as input into predictive flow models were modeled at Eastern Kentucky University. The following commercially…

A medication efficacy graph was developed, revised, and applied in a case study to effectively monitor progress of a client with profound mental retardation and maladaptive behaviors. The graph enables clinicians to measure and display not just incidents of maladaptive behaviors but weighted maladaptive behaviors, adaptive behaviors, potency of…

Sketches the development of business graphs in America. Examines their early use at Du Pont and the origin of the chart room around 1920, an important factor in the executive control systems at Du Pont. Draws lessons from this case study for managers and teachers of business communication. (PD)

Discusses techniques for improving training program design and administration through effective evaluation. Describes three sample case studies that compare trainers, facility/location, and course content; trainee reactions are plotted on a graph. Presents trainee feedback forms that identify aspects of a session, rate effectiveness, and record…

The report describes a mathematical modelling activity of a natural phenomenon (transmission of hereditary characters in a codominance case) using the concept of model as a theoretical instrument. The chosen tool enables us to show how the construction of a link between reality and a model is related to the evolution of the graphical…

It is becoming widely recognised that teachers' content knowledge has an important influence on their pedagogical content knowledge, and hence on the learning of students. In secondary schools, function is one of the fundamental concepts of mathematics. This paper considers the understanding of function exhibited by a group of teacher trainees in…

Interest in Total Quality Management (TQM) at institutions of higher education has been stressed in recent years as an important area of activity for institutional researchers. Two previous AIR Forum papers have presented some of the statistical and graphical methods used for TQM. This paper, the third in the series, first discusses some of the…

Work with PLATO, a computer-based teaching system which provides a means for individualizing instruction, is described. Children sit at terminals and respond to directives and questions on the screen by touching it or by typing a message. PLATO responds, and prescribes work in accordance with the child's previous performance. Curricular materials…