Learning trajectories (LTs) can inform teaching by contributing a variety of pedagogical and content-related insights and strategies. They support sequencing topic introduction and development. Because ideas evolve gradually and often rely on a careful introduction of new representations, operations, cases of numbers, structures, and definitions,…

We are researching actions that teachers can take to improve mathematics learning for all students. Structural elements of the lessons being trialled include making aspects of pedagogy explicit to seek to overcome differences in familiarity with schooling processes, and sequencing tasks with the potential to engage students. This article reports…

Noting that combining reading instruction with writing instruction is more effective than teaching writing alone, describes and evaluates various sequential activities and exercises to promote involved reading. Includes mapping, summarizing, synthesizing, and critiquing assigned readings, all of which lead to the research paper. (JG)

This text on the education of gifted children is organized into two parts--the first on curriculum principles and the second on applications of those principles. The first chapter examines such topics as theories of intelligence, qualitatively different curricula, and a comprehensive approach to curriculum. Chapter 2 considers several continuums…