While attending a Postgraduate Certificate in Education (PGCE) course, this author was provided with the time and encouragement to try out different activities, styles, and strategies of teaching. She used this time to develop numeracy starter lessons with Y7 students, spending two weeks with each of four sets of students. She decided from the…

If larger and larger samples are successively drawn from a population and a running average calculated after each sample has been drawn, the sequence of averages will converge to the mean, [mu], of the population. This remarkable fact, known as the law of large numbers, holds true if samples are drawn from a population of discrete or continuous…

The sequence 1, 1, 2, 3, 5, 8, 13, 21, ..., known as Fibonacci sequence, has a long history and special importance in mathematics. This sequence came about as a solution to the famous rabbits' problem posed by Fibonacci in his landmark book, "Liber abaci" (1202). If the "n"th term of Fibonacci sequence is denoted by [f][subscript n], then it may…

For 137 years Markovnikov's rule has been extensively used in organic chemical education and research to describe the regioselectivity in electrophilic addition reactions to alkenes and alkynes. When the structures of the final reaction products are used as reference, the rule requests that certain polar addition reactions be termed…

This study examined the concurrence between proxy generated estimates of physical activity via diary recordings and accelerometer generated estimates of physical activity for 37 adults with intellectual disability living in supported group homes. Specifically, the following questions were addressed: (a) to what extent did the proxy estimates agree…

In the nineteenth century many people tried to seek a value for the most famous irrational number, [pi], by means of an experiment known as Buffon's needle, consisting of throwing randomly a needle onto a surface ruled with straight parallel lines. Here we propose to extend this experiment in order to evaluate other irrational numbers, such as…

The National Dropout Prevention Center for Students with Disabilities (NDPC-SD) was assigned the task of compiling, analyzing and summarizing the data for Indicator 2--Dropout--from the FFY 2008 Annual Performance Reports (APRs) and the revised State Performance Plans (SPPs), which were submitted to the Office of Special Education Programs (OSEP)…

The purpose of this critical analysis is to gain quantitatively greater statistical accuracy synthesizing past empirical studies conducted on the topic of social justice curriculum (hereafter SJC) with similar research foci, but dissimilar research questions. Currently there is a clarion call for further quantitative research to be conducted on…

This article evaluates online mathematical content used for teaching mathematics in engineering classes and in distance education for teacher training students. In the EU projects Xmath and dMath online computer algebra modules (Steplets) for undergraduate students assembled in the Xmath eBook have been designed. Two questionnaires, a compulsory…

The impact of nonresponse on estimates of mental health problems was examined in a prospective teacher screen in a community survey of 9,155 7-9 year olds. For 6,611 of the children, parents consented to participation in the actual study (Responders), while for 2,544 children parental consent was not obtained (Nonresponders). The teacher screen…

Over the course of instruction, instructors generally collect a great deal of information about each student. Integrating that information intelligently requires models for how a student's proficiency changes over time. Armed with such models, instructors can "filter" the data--more accurately estimate the student's current proficiency…

On January 8, 2002, the federal Elementary and Secondary Education Act (ESEA) was reauthorized as the No Child Left Behind Act (NCLB). NCLB required states to establish a single accountability system that includes every school and district. Rhode Island proposed an accountability model incorporating NCLB requirements to the US Department of…

This report describes various methods for computing graduation and completion rates, and how they compare.

Laws such as 0.08 blood alcohol content, open container, and license revocation provide a policy framework for reducing drinking and driving. Drinking and driving behavior is difficult to assess; unlike property and violent crimes, where incidence statistics can approximate behavior, most drink-driving trips go undetected. The authors develop a…

A student experiment on dynamic calorimetry is described. Dynamic calorimetry is a powerful technique for calorimetric studies, especially at high temperatures and pressures. A low-power incandescent lamp serves as the sample. The ScienceWorkshop data-acquisition system with DataStudio software from PASCO Scientific displays the results of the…