In this article, the authors provide some insight into how teachers can potentially facilitate among students' representations and activities on mathematical tasks: between or among -- (1) student representations and the context; (2) multiple forms of student representations; and (3) processes in student representations. The authors use the…

The authors who are mathematics teacher educators, have found that classifying, composing, and transforming shapes (in particular, rotations and reflections) are areas of difficulty for adults as well as for children. However, these are also some of the most important geometric ideas. They are fundamental topics in the K-8 Geometry and Measurement…

Pragmatic competence, or the ability to use language appropriately in a variety of contexts, is a critical skill for communication in a second language (L2). Thus, teaching that focuses on developing students' abilities to communicate effectively in an L2 must also include a focus on developing students' pragmatic competence. This article…

Critical-thinking skills help to prepare adult education students for a successful transition to college degree programs and for job advancement. Yet fostering critical thinking poses a challenge to ESL instructors. Brookfield (2012) provides a way forward for adult educators when he explains that the crux of critical thinking is to discover one's…

This paper presents some of the overall frameworks and models for language learning that were used under Avalon (Access to Virtual and Action Learning live ONline), an EU co-funded project aimed at developing language-learning scenarios in virtual worlds. The introduction and background summarize some of the theories that constitute the starting…

Technology has been part of the language learning process, both inside and outside the classroom, for decades, helping to bridge the gap between different contexts of learning. At the same time, the concept of lifelong-learning has widened our understanding of what learning is, what different forms it can take, and of the importance of considering…

The process of developing innovative mobile approaches to informal and formal learning is challenging, not least in needing to satisfy stakeholders with diverse interests in the technology, the pedagogy and the overall system. Some approaches to evaluation may focus on examining the nature and quality of learning that occurs, while other methods…