The authors describe a collection of dynamic interactive simulations for teaching and learning most of the important ideas and techniques of introductory statistics and probability. The modules cover such topics as randomness, simulations of probability experiments such as coin flipping, dice rolling and general binomial experiments, a simulation…

This descriptive case study investigated the role of narrative in multimedia learning and teaching and observed how teachers applied their understanding of narrative, and new constructivist technologies, to design multimedia presentations for instruction. The study looked specifically at the cognitive strategies, visual narrative concepts, and…

The purpose of this study is to determine whether educators believe mathematics should be taught to liberal arts students, what topics are taught in liberal arts mathematics courses, and what the motivation is for teaching such topics. The study consists of two parts, a review of the opinions of educators regarding liberal arts mathematics, and a…

In an English as a second language (ESL) or English as a foreign language (EFL) class, special emphasis is often put on interaction and negotiation as a means of learning and understanding the language being taught (Long, 1981; Pica, 1994). However, student-student interaction as well as student-teacher interaction could be difficult to achieve in…

Ballistocardiograms (BCGs) are graphical representations of the recoil from the pumping action of the heart. Introductory mechanics and a basic knowledge of the circulatory system are sufficient to understand the key features of a BCG. BCGs with adequate detail for instructional purposes may be produced easily and rapidly using hardware (a force…

Two experiments investigated effects of emergent features on perceptual judgments of comparative magnitude in three diagrammatic representations: kiviat charts, bar graphs, and line graphs. Experiment 1 required participants to compare individual values; whereas in Experiment 2 participants had to integrate several values to produce a global…

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…

This paper presents an investigation by pre-service secondary school teachers in a geometry class of the relationship between the perpendicular distance from the eyeball to the wall (x) and the viewable vertical distance on the wall (y) using a view tube of constant length and diameter. In undertaking the investigation, students used tabular and…

Using dynamic graphs, future secondary mathematics teachers were able to represent and communicate their understanding of a brief mathematical investigation in a way that a symbolic proof of the problem could not. Four different student work samples are discussed. (Contains 6 figures.)

The purpose of this study is to determine the extent of scale drift on a test that employs cut scores. It was essential to examine scale drift for this testing program because new forms in this testing program are often put on scale through a series of intermediate equatings (known as equating chains). This process may cause equating error to…

This work presents an introductory development of fractional order derivatives and their computations. Historical development of fractional calculus is discussed. This paper presents how to obtain computational results of fractional order derivatives for some elementary functions. Computational results are illustrated in tabular and graphical…

The author presents a geometrical framework in which the inability of discretionary policy (consistent policy in the sense of Kydland and Prescott) to be socially optimal is demonstrated. Policy based on a rule results in a higher level of utility. The author extends the model to demonstrate that policy of a Rogoff conservative central banker…

Now that most states have adopted the new Common Core State Standards, the next major challenge is to simplify and implement them by 2014. That is why it is important to begin this work now. Joe Crawford, Milken Award-winning educator and author of "Using Power Standards to Build an Aligned Curriculum", shares his proven process for…

For the eleventh consecutive year, the National Collegiate Athletic Association (NCAA) compiled this statistical report regarding student-athlete race, ethnicity and resident alien status in intercollegiate athletics at its member institutions. This information provides a general view of recent historical student-athlete race and ethnicity trends…

My NASA Data (Chambers et al. 2008) is a teaching tool available on NASA's website that offers microsets of real data in an easily accessible, user-friendly format. In this article, the authors describe a lesson plan based on an activity from My NASA Data, in which students explore parts of the United States where they would want to live if they…