This article draws from Hiroko Kawaguchi Warshauer's conceptualisation of productive struggle, which capitalises on experiences that elicit struggle, that is, those that require students to 'expend intellectual effort' and that are productive, in the sense that they seek to 'advance thinking and deepen' understanding of mathematical concepts and…

'Programa de Especialização Docente Brasil' (PED Brasil) is a learning and professional development program in mathematics or science education for primary or secondary in-service schoolteachers. Designed to be a teacher education program that addresses issues related to educational quality and equity in racially, socially, and academically…

The Advanced Placement program stands as the foremost source of college-level academics for millions of high school students in the United States and beyond. More than 22,000 schools now participate in it, across nearly forty subjects, from Latin and art to calculus and computer science. Yet remarkably little has been known about how this…

Many writers have suggested that comprehension occurs at several levels (e.g., literal, inference, and conclusion). However, many teachers spend as much as two-thirds of their time on lower-level skills such as phonics and literal-level comprehension skills. Some authors have suggested ways of assisting readers in achieving comprehension at more…

This guide for language teachers offers a developmental approach to curriculum design for second language learning. The approach suggests a progression of tasks at various difficulty levels, geared to the gradual development of language knowledge, concepts, skills, and attitudes. Ten levels of attainment, or stages of learner development, are…