We define and describe how subitizing activity develops and relates to early quantifiers in mathematics. Subitizing is the direct perceptual apprehension and identification of the numerosity of a small group of items. Although subitizing is too often a neglected quantifier in educational practice, it has been extensively studied as a critical…

Despite the best of intentions, qualitative researchers can be faced, in some circumstances, with having to make meaning from thin, or less than optimal, data. Using a real study as context, the authors describe the ways that they made sense of their thin data on teachers' perceptions of a large-scale evaluation instrument. They propose a…

Purpose: With the increased importance of training in organizations, creating important and meaningful programs are critical to an organization and its members. The purpose of this paper is to suggest a four-phase systematic approach to designing and evaluating training programs that promotes collaboration between organizational leaders, trainers,…