This study describes a comparison of how worked examples in selected textbooks from England and Shanghai presented possible learning trajectories towards understanding linear function. Six selected English textbooks and one Shanghai compulsory textbook were analysed with regards to the understanding required for pure mathematics knowledge in…

We describe a novel, university-level, introductory biology course that uses evolution as a narrative framework. Our course conveys the content in an introductory biology course by telling the story of the evolution of life on Earth. We begin with early Earth environments in which biological molecules and processes evolved and led to the first…

"Representational transformation diagrams" are used to compare and contrast standard textbook presentations of vector line integrals in undergraduate courses in both mathematics and physics. These presentations are taken as the lower anchor in a learning trajectory. Two principal approaches in the lower division are identified, roughly…

The rationale behind this special issue is to underscore the importance of studying instructional materials in context--that is, how materials and textbooks are used by teachers and learners. Research on teaching materials needs to reach beyond traditional 'armchair' analyses and evaluations to appreciate the place of instructional materials in…

Much like one's experiences with the wonders of the world, concrete and multiperspective representations of mathematical concepts are key to understanding. Ideally, "learning environments should give students the opportunity to get to know different representations of a mathematical object in order for them to develop an appropriate…

Students learn many concepts in the introductory statistics course, but even our most successful students end up with rigid, ritualized knowledge that does not transfer easily to new situations. In this article we describe our attempt to apply theories and findings from learning science to the design of a statistics course that aims to help…

The author, a psychology instructor at an American university, describes the internationalization of his course in Human Growth and Development. The author argues that human development cannot be easily summarized by nature (i.e., biological and evolutionary predisposition) or nurture (i.e., learning through environment and experience).…

This paper gives a brief summary of Halliday's theory of how children learn to talk, illustrating the development of children's language from the microfunctions through the macrofunctions and into the metafunctions of adult language. The paper points to a possible source of the misinterpretation of Halliday's theory in the work of Frank Smith…

Corpus linguistics is a new branch of linguistics but its status is still debatable - either as a theory or a methodology. This article aims to give an overview of the different approaches and perspectives of corpus linguistics. The neo-Firthians contend that corpus linguistics is a method, while other prominent corpus linguists claim that it is a…

This paper outlines a procedure for language textbook analysis from the perspective of second language acquisition (SLA) principles as a preliminary procedure to evaluation for selection. The aim is to provide a tool that allows comparison of the potential of textbooks for supporting students' language learning. To this end, ten general principles…

Peter Gray explains how his Year 12 students came to research and write a resource on the history of Zambia, for history teachers "in" Zambia. The construction of the resource stretched the Year 12 students in new ways: the Internet was useless and there were no easy digests in A-Level textbooks to get them started. They would have to…

Trends and issues in ELT methods and methodology can be identified at two main levels. One is in terms of the theoretical pronouncements of the "professional discourse", as manifested by major publications, conference presentations, and so on. This article therefore begins by briefly summarizing some of the main developments of this kind from 1995…

It is a widespread misunderstanding in introductory physics courses that the motion of rolling bodies in general can be calculated using the point of contact as a reference point when equating the rate of change of angular momentum to the torque. In this paper I discuss in general two correct rules to be used instead, in order to derive the…

Personalized, online homework was used to supplement textbook homework, quizzes, and exams for one section of a course in material and energy balances. The objective of this study was to test the hypothesis that students using personalized, online homework earned better grades in the course. The online homework system asks the same questions of…

As infrared spectroscopy (IR) is frequently used in undergraduate organic chemistry courses, an inductive introduction to IR spectroscopy that uses index cards printed with spectra, structures, and chemical names is described. Groups of students are given an alphabetized deck of these "IR cards" to sort into functional groups. The students then…