The purpose of this study was to determine whether or not certain errors made when simplifying exponential expressions persist as students progress through their mathematical studies. College students enrolled in college algebra, pre-calculus, and first- and second-semester calculus mathematics courses were asked to simplify exponential…

Background: A major problem in teaching science is the overcoming of misconceptions. Reif found a procedure specifying a science concept. Neglect of this procedure can induce misconceptions. To find what can prevent misconceptions, students entering engineering were tested to see whether they understood easy problems of movement requiring the…

This essay addresses the challenges of teaching to myths and misperceptions through a discussion of two books that the author uses to frame her course on the history of women and gender in the modern Middle East: (1) Geraldine Brooks' "Nine Parts of Desire: The Hidden World of Islamic Women" (1995); and (2) Heather Raffo's "9 Parts…

We report a novel educational activity designed to teach quantum mechanical tunneling to upper-division undergraduate students in the context of nanochemistry. The activity is based on a theoretical framework for analogy and is split into three parts that are linked pedagogically through the framework: classical ball-and-ramp system, tunneling…

During the last few years teaching physics, I have noticed that my students are becoming more and more interested in the topic of radiation. Mobile phones, modern game consoles, and WiFi--all of these devices involving some kind of radiation are part of our students' everyday lives. Students are also frequently confronted in the media with…

Biochemistry is a visual discipline that requires students to develop an understanding of numerous representations. However, there is very little known about what students actually understand about the representations that are used to communicate ideas in biochemistry. This study investigated biochemistry students' understanding of multiple…

This study assessed whether a sample of two hundred seven 3- to 7-year-olds could interpret multidigit numerals using simple identification and comparison tasks. Contrary to the view that young children do not understand place value, even 3-year-olds demonstrated some competence on these tasks. Ceiling was reached by first grade. When training was…

There is a new myth of the heterogeneous that is reducing the concept of humanity to a sinful enlightenment. In this article I investigate the contribution that a renewed understanding of liberal arts education might offer for the idea of a humanist education and for the concept of humanity; and this at a time when not only the concept of humanity…

Myths about "the Chinese learner" developed from an outsider perspective abound in the Western world. The focus of this article, however, is how discourses of Chineseness were used by the Chinese international students themselves who, as undergraduate students in a New Zealand university, were the subjects of my doctoral research. It…

Ninety-seven education students majoring or minoring in mathematics had their math homework examined in a Number Theory or Abstract Algebra course. Each student's homework was observed for the purpose of identifying common errors and misconceptions when writing mathematical proofs. The results showed that students collectively made four…

In learning genetics, many students misunderstand and misinterpret what "dominance" means. Understanding is easier if students realize that dominance is not a mechanism, but rather a consequence of underlying cellular processes. For example, metabolic pathways are often little affected by changes in enzyme concentration. This means that…

This article examines Wayne C. Booth's legacy as a teacher and scholar through the concept of rhetoric as mutual inquiry that he develops from "Modern Dogma and the Rhetoric of Assent" (1974) through "The Rhetoric of Rhetoric" (2004). Booth's work connects the political and pedagogical in pragmatic and productive ways…

The fundamental criteria for chemical reactions to be spontaneous in a given direction are generally incorrectly stated as ?G < 0 or ?A < 0 in most introductory chemistry textbooks and even in some more advanced texts. Similarly, the criteria for equilibrium are also misstated as being ?G = 0 or ?A = 0. Following a brief review of the…

In 2015, a duty came into effect requiring all public bodies, including schools, to engage with the UK Government's Prevent counter-terrorism strategy. This article presents two case studies from mid-size English cities, exploring the moral prototypes and institutional identities of professional mediators who made schools aware of their duties…

Interest in student-centered active learning pedagogies is widespread, but discipline-specific examples of implemented instructional approaches are needed to bridge the gap between pedagogical ideas and their enactment. One of these approaches, Modeling Instruction, is an active, student-centered approach wherein students learn through…