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 inspection of mistakes can play a powerful role in an individual's learning process (Boaler 2015). The purpose of this article is to support the reader in selecting mistakes that can be leveraged to benefit the learning of all students. Specifically, the authors focus on "which" and "why": "which" mistakes to…

English as a second language teachers often find themselves teaching classes of heterogeneous students who have very divergent English language skills, abilities, and learning needs. One effective approach to address some of the challenges teachers face when teaching heterogeneous, mixed-level classes is task-based language teaching (TBLT). TBLT…

This volume brings together theoretical perspectives and empirical studies in second language (L2) acquisition and bilingualism and discusses their implications for L2 pedagogy. The book is organized into three sections that focus on prominent linguistic and cognitive theories and together provide a compelling set of state-of-the-art works. Part I…

This section contains conference papers on testing and evaluation in second language teaching. They include: "English Language Entrance Examinations in Japan: Problems and Solutions" (James Dean Brown); "Reliability and a Learner Style Questionnaire" (Dale T. Griffee); "Does It Work?" Evaluating Language Learning Tasks" (Rod Ellis); "Communicative…