A novel course using green chemistry as the context to teach general chemistry fundamentals was designed, implemented and is described here. The course design included an active learning approach, with major course graded components including a weekly blog entry, exams, and a semester project that was disseminated by wiki and a public symposium.…

In their 2011 study "Academically Adrift," Richard Arum and Josipa Roksa present considerable evidence that undergraduates in US colleges and universities make surprisingly little progress in their first two years of college. While acknowledging the force of this argument, the authors ask whether Arum and Roksa's evidence--about students'…

This brief describes the technology transfer (TT) and knowledge translation (KT) work of Dr. Gregg Vanderheiden and the Trace Research & Development Center. The Trace Research & Development Center at the University of Wisconsin-Madison was established in 1971 with the development of an early augmentative communication system, which was…

During the winter of 2011, the author faced an instructional dilemma: Should she teach the concept of adding and subtracting fractions with unlike denominators using a "quick trick" for the sake of staying on schedule, or should she try something different in hopes that her students would gain understanding through their own methods? The latter…

With the introduction of the Common Core State Standards (CCSS), teachers must now teach math with an eye on simultaneously meeting the Standards for Mathematical Practice (CCSSI 2010). These Standards "describe varieties of expertise that math educators at all levels should seek to develop in their students" (p. 6). The first Standard, that…

Our regional accrediting body, New England Association of Schools and Colleges, requires outcome assessment of core liberal education outcomes. Because of this mandate, and our new mission at the University to prepare students with the knowledge, skills, and values necessary to thrive and be engaged in a pluralistic, complex world, we have…

An important concept in mathematics, yet one that is often elusive for students, is the concept of rate. For many real-life situations--those involving work, distance and speed, interest, and density--reasoning by using rate can be an efficient strategy for problem solving. Students struggle with the concept of rate, despite the many possible…

The title is that of a course with the same name, designed for teachers of mathematics. The rational for a course specifically on geometry was that "many of those currently teaching mathematics in school had little geometrical education". Teachers on the course experience geometry through problem solving, and learning to pose geometrical problems.…

Many delegates at "conference" relish the opportunity, and the space, to "do some mathematics". Opportunity and space help to make the experience memorable, but how often is the quality of the starting point, or question acknowledged? Here is a set of starting points or problems that invite the reader to "do some mathematics". Deliberately, no…

In this paper, the RBC+C framework (Hershkowitz, Schwartz, & Dreyfus, 2001) is used to analyse and describe construction and consolidation of mathematical knowledge by primary pupils in a whole-class setting. I describe a lesson that concerned what is commonly termed the Handshakes problem. One pupil spontaneously established a connection with…

This paper is concerned with how research ethics is evolving along with emerging online research methods and settings. In particular, it focuses on ethics issues implied in a hypothetical virtual ethnography study aiming to gain insights on participants' experience in an emergent context of networked learning, namely a MOOC--Massive Online Open…

Terms to be familiar with before you start to solve the test: transcription, pre-mRNA, RNA processing, RNA transport, RNA polymerase II, direct and indirect immunofluorescence staining, cell fractionation by centrifugation, oligo(dT)-cellulose chromatography, washing and elution of the column, ribonuclease, SDS-polyacrylamide gel electrophoresis,…

This article focuses on a simple trigonometric problem that generates a strange phenomenon when different methods are applied to tackling it. A series of problem-solving activities are discussed, so that students can be alerted that the precision of diagrams is important when solving geometric problems. In addition, the problem-solving plan was…

This article points out a simple connection between related rates and differential equations. The connection can be used for in-class examples or homework exercises, and it is accessible to students who are familiar with separation of variables.

Geometry provides a natural window into what it is like to do mathematics. In the world of geometry, playful experimentation is often more fruitful than following a procedure, and logic plus a few axioms can open new worlds. Nonetheless, teaching a geometry course in a way that combines both rigor and play can be difficult. Many geometry courses…