When teachers work toward the goal of using evidence of student learning to improve teaching, they typically use test scores, student work, portfolios, and a variety of formative assessments. Videotapes of teaching are another valuable form of evidence. Research has shown that analysis of videotaped teaching cases is effective in promoting teacher…

The year 2006 marked the 30th anniversary of the publication of Michael Rutter and Nicola Madge's Cycles of Disadvantage (1976). As such, it provides an opportunity to take stock of debates over an alleged cycle of deprivation, both in the 1970s, and more recently. This article seeks to use historical methods in order to outline some areas in…

Open and sustained discussions in heterogeneous collaborative online groups should provide opportunities for adults to reshape their thinking, deeply understand the subject content, and have their voices heard and respected. These opportunities turn on trust. The ability to trust thoughts that are different from their own is influenced by the…

This paper considers the use of secondary data analysis in educational research. It addresses some of the promises and potential pitfalls that influence its use and explores a possible role for the secondary analysis of numeric data in the "new" political arithmetic tradition of social research. Secondary data analysis is a relatively under-used…

A single-subject design was used in 2 experiments about the effects of percentage payback (winnings in proportion to total amount bet) on gambling on a slot-machine simulation in 8 adult humans. In Experiment 1, percentage payback was varied across a wide range of values, and participants were exposed extensively to percentage-payback conditions.…

During a recent trip to South Africa, the author had an array of opportunities to experience the cultural, historical, political, and geographic landscape of the country. He was privileged to visit classrooms and to teach and interact with students and teachers. Through teaching some lessons on democracy and citizenship, the author learned that…

The current study aimed to identify specific stimuli associated with music that served as an establishing operation (EO) for the problem behavior of a 6-year-old child with a diagnosis of autism. Specific EOs for problem behavior evoked by auditory stimulation could be identified. A differential negative reinforcement procedure was implemented for…

Mutational inactivation of a specific gene is the most powerful technique to analyze the biological function of the gene. This approach has been used for a long time in viruses, bacteria, yeast, and fruit fly, but looked quite hopeless in more complex organisms. Targeted inactivation of specific genes (also known as knock-out mutation) in mice is…

Reversing is the notion of thinking or working in reverse. Computer science textbooks and tutors recognize it primarily in the form of recursion. However, recursion is only one form of reversing. Reversing appears in the computer science curriculum in many other forms, at various intellectual levels, in a variety of fundamental courses. As such,…

This note generalizes the formula for the triangular number of the sum and product of two natural numbers to similar results for the triangular number of the sum and product of "r" natural numbers. The formula is applied to derive formula for the sum of an odd and an even number of consecutive triangular numbers.

In this article we consider an example suitable for investigation in many mid and upper level undergraduate mathematics courses. Fourier series provide an excellent example of the differences between uniform and non-uniform convergence. We use Dirichlet's test to investigate the convergence of the Fourier series for a simple periodic saw tooth…

As the educational research community has struggled with research issues over the last few decades, we have turned almost exclusively to epistemologically oriented methodology for answers. Implicit in this methodological discourse are three questionable presuppositions about the relationship between methods and methodology and between researchers…

Medically fragile infants, those born prematurely or with other complex medical or genetic problems, are at risk of long-term health and developmental problems. When a medically fragile infant comes home to a family with significant social problems such as domestic violence, mental illness, or substance abuse, the infant is at double jeopardy--at…

Three elementary students with autism were taught single-digit addition problem-solving skills using number and touch-point strategies. Prior to the study, all students were unable to correctly calculate single-digit addition problems. An alternating-treatments design was used to compare the acquisition performance of single-digit addition…

Not long ago, forecasts for state appropriations to higher education were gloomy as the credit crisis, a slumping housing market, rising energy costs and unemployment, and sagging consumer confidence took their toll on state finances. The budget news emerging from many statehouses for colleges and universities has been better than expected. This…