Most mathematical functions can be represented in numerous ways. The main representations typically addressed in school, often referred to as "the big three," are graphical, algebraic, and numerical representations, but there are others as well (e.g., diagrams, words, simulations). These different types of representations "often illuminate…

The number "e" is one of those fascinating numbers whose properties are of special interest to mathematicians. In this article, the author aims to provide a method of introducing a visual concept of the number "e". These ideas are suitable for secondary school and undergraduate tertiary students. The main concept involves areas…

Individuals with Prader-Willi syndrome (PWS) are at risk for excessive daytime sleepiness (EDS) and disruptive behavior. This pilot study explores temporal characteristics of EDS and severe disruptive behavior across time of day and day of week in seven individuals with PWS (aged between 33 and 49 years) of whom five were matched to controls.…

The purpose of this study is to investigate the effect of using the Geometer's Sketchpad software in the teaching and learning of graph functions among Form Six (Grade 12) students in a Malaysian secondary school. This study utilized a quasi-experimental design using intact group of students from two classes in an urban secondary school. Two…

This study compared the effects of a computer-based stimulus equivalence protocol to a traditional lecture format in teaching single-subject experimental design concepts to undergraduate students. Participants were assigned to either an equivalence or a lecture group, and performance on a paper-and-pencil test that targeted relations among the…

This dissertation concerns kindergarteners' and second graders' invented representations of motion, their interactions with conventional representations of motion built from the child's movement in front of a motion detector and using real-time graphing tools, and any changes in the invented representations that this interaction brings about. We…

In the social studies of science, visuals and graphical representations are theorized by means of the concept of inscription, a term that denotes all representations other than text inscribed in some medium including graphs, tables, photographs, and equations. Inscriptions constitute an intrinsic and integral part of scientific practice; their…

The National Office for Research on Measurement and Evaluation Systems (NORMES) at the University of Arkansas developed a web-based interactive system to provide information on state, district, and school level achievement gaps between white students and black students, socioeconomically disadvantaged students and non-disadvantaged students, male…

As a college biology instructor, I often see graphs in lab reports that do not meet my expectations. I also observe that many college students do not always adequately differentiate between good and poor (or misleading) graphs. The activity described in this paper is the result of my work with students to improve their graphing literacy. The…

Middle school mathematics classrooms are changing. The curriculum has changed as well. Instead of an annual return to previously encountered topics, many middle school students encounter mathematics of a varying nature, characterized in "Principles and Standards for School Mathematics" (NCTM 2000) as the five Content Standards of Number and…

The effects of two types of two well-established microcomputer-based teaching methods were examined for their effect on teaching high school students kinetics. The use of data acquisition probeware and digital video analysis were studied for their impact on students' conceptions and ability to interpret graphical relationships to real world…

The purpose of this document is to provide a historical perspective of the evolution of special education in Iowa through the voices of the people who created the system of support for individuals with disabilities. In addition to the interviews, extensive historical literature reviews were conducted. One hundred and thirty individuals were…

The new Common Core State Standards for Mathematics have been formulated to provide students with instruction that will help them acquire a thorough knowledge of math at their grade level, which will in turn enable them to move on to higher mathematics with competence and confidence. "Hands-on Activities for Teaching the Common Core Math…

The Elementary and Secondary Education Act (ESEA) is due for reauthorization, and Senator Tom Harkin and Congressman Chakkah Fattah have both proposed revisions to the comparability provision of the federal Title I program. Harkin's proposed legislation requires the use of per pupil expenditures, including actual teacher salaries, to demonstrate…

The purpose of this study was to determine the effects of self-graphing on the writing of 3 fourth grade students with high-incidence disabilities. Measures of written expression included total number of words written and number of correct word sequences. During intervention, students self-graphed their total number of words written in response to…