The use of video recordings as a data source in qualitative research presents challenges when it comes to selecting time scales. Here, we discuss the implications of selecting time scales with regard to the interpretations and conclusions of a classroom event. The analysis draws on data from the PISA+ project, a large-scale video study of six…

The purpose of this study is to describe the procedure and examples of visual proofs (VP-or proof without words) developed by gifted mathematics secondary school students after their experiences. The participants of this study are three male 9th grade students enrolled in a private science high school. In the first stage of the research a briefing…

Critical consciousness refers to the ways in which individuals come to understand and challenge oppressive social forces. Philosopher-educator Paulo Freire argued that critical curiosity--an eagerness to learn more about and develop a deep understanding of issues of social justice--serves as an important catalyst to critical consciousness…

Creating effective pathways for students to transition from high school to college or career is immensely important and, although challenging, some have developed promising approaches. This case study examined how formal and informal leaders in an urban high school and district collaborated to implement a college and career academy model,…

This report describes a follow-up qualitative study, conducted in 2006 by the Annenberg Institute for School Reform, of a small group of New York City high schools that were "beating the odds" in preparing low-performing 9th-grade students for timely high school graduation and college going. The 13 schools included two long-established…

In this article, we deal with students' algebraic generalizations set in the context of elementary geometric-numeric patterns. Drawing from Vygotsky's psychology, Leont'ev's Activity Theory, and Husserl's phenomenology, we focus on the various semiotic resources mobilized by students in their passage from the particular to the general. Two small…