At Southern Vermont College (SVC) and at the nation's other colleges and universities, Anatomy and Physiology I (A&PI) is the gateway course into healthcare careers. Disturbingly, at SVC and elsewhere, many first-year students interested in healthcare careers do not succeed in this course. They withdraw from the course or the institution, or their…

An equating study was carried out in autumn 2006 by the National Foundation for Educational Research (NFER) on behalf of Renaissance Learning, to provide validation evidence for the use of the Renaissance Star Reading and Star Mathematics tests in English schools. The study investigated the correlation between the Star tests and established tests.…

In my Calculus classes I encourage my students to actively reflect on course material, to work collaboratively, and to generate diverse solutions to questions. To facilitate this I use peer instruction (PI), a structured questioning process, and i-clickers, a radio frequency classroom response system enabling students to vote anonymously. This…

Using continued fraction expansions, we can approximate constants, such as pi and e, using an appropriate integer n raised to the power x[superscript 1/x], x a suitable rational. We review continued fractions and give an algorithm for producing these approximations.

This chapter discusses the impact that four multisite National Science Foundation (NSF) evaluations had on the broader field of science, technology, engineering, and mathematics education and evaluation. Three approaches were used to investigate the broader impact of these evaluations on the field: (a) a citation analysis, (b) an on-line survey,…

This paper is a whimsical survey of the various explanations which might account for the biblical passage in I Kings 7:23 that describes a round object--a bronze basin called Solomon's Sea--as having diameter ten cubits and circumference thirty cubits. Can the biblical pi be any number other than 3? We offer seven different perspectives on this…

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…

An analytic approximation of the solution to the differential equation describing the oscillations of a simple pendulum at large angles and with initial velocity is discussed. In the derivation, a sinusoidal approximation has been applied, and an analytic formula for the large-angle period of the simple pendulum is obtained, which also includes…

Using meta-analysis, we revised Ackerman and Heggestad's (1997) identification of four trait complexes that propose personality and interest (P-I) linkages. Studies that had reported correlations between general and specific measures of vocational interests (Strong Interest Inventory [Strong; Hansen & Campbell, 1985; Harmon, Hansen, Borgen, &…

Bertrand's paradox (Bertrand 1889 "Calcul des Probabilites" (Paris: Gauthier-Villars)) can be considered as a cautionary memento, to practitioners and students of probability calculus alike, of the possible ambiguous meaning of the term "at random" when the sample space of events is continuous. It deals with the existence of different possible…

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…

In 1998 the National Science Foundation launched the Integrative Graduate Education and Research Traineeship (IGERT) program, a major initiative aimed at Science, Technology, Engineering, and Mathematics (STEM) graduate education. IGERT was developed to meet the challenges of educating U.S. Ph.D. scientists, engineers, and educators with…

This report summarizes findings from an evaluation of the impacts of the National Science Foundation's (NSF) Integrative Graduate Education and Research Traineeships (IGERT) program. Through support of interdisciplinary graduate education programs in Science, Technology, Engineering, and Mathematics, the IGERT program aims to educate U.S.…

Secretary of Education Duncan (2010) lamented the state of U.S. education in 2010 after the release of the results from the 2009 Programme for International Student Assessment (PISA). He wrote: "Unfortunately, the 2009 PISA results show that American students are poorly prepared to compete in today's knowledge economy. President Obama…

The study was designed to support teachers on designing problem-posing tasks to understand students' mathematical learning. Seven classroom teachers and the researcher collaboratively set up a school-based team participating in an assessment project that assists teachers in implementing assessment integral to instruction. Four categories that the…