Background and Context: We explored how learning trajectories (LTs) might be used to design variables instruction. Objective: We aimed to develop an LT for variables and use it to guide curriculum development for fourth graders working in Scratch in an integrated mathematics+CS curriculum. Method: We synthesized learning goals (LGs) and levels of…

Aim/Purpose: In this paper, we highlight the need to monitor and diagnose adaptive e-learning systems requirements at runtime to develop a better understanding of their behavior during learning activities and improve their design. Our focus is to reveal which learning requirements the adaptive system is satisfying while still evolving and to…

Proposes a criterion for selecting a sequence of objectives from a learning hierarchy and describes a sequence generating algorithm which is designed to generate a minimal memory load sequence from a learning tree. Its effectiveness in generating low memory load sequences from hierarchies that are not trees is also discussed. (RP)

This article delineates characteristics and needs of gifted youth which should be addressed in developing the gifted curriculum, presents guiding principles for curriculum development, illustrates the goal writing process, specifies definitions and parameters of the process, and illustrates the development and use of scope-and-sequence documents.…

Mastery learning techniques were improved through mathematics instruction based on a validated learning hierarchy, presenting tasks in a sequence consistent with the requirements of the hierarchy, and requiring learners to demonstrate achievement before being allowed to proceed. (Author/GDC)

Explores the mismatch between pedagogical intentions and learner outcomes and argues for learner centeredness as a central (yet relative) concept. Ways in which the relationship between teachers and learners and teaching and learning can be strengthened, e.g., experiential content, language content, and learning process, are explored, and examples…