This article presents a case study that examines the level of integration of mathematical knowledge in physics problem solving among first grade students of upper secondary school. We explore the ways in which two specific students utilize their knowledge and we attempt to identify the epistemological framings they refer to while solving a physics…

This study aims to develop a semiotic declarative knowledge model, which is a positive constructive behavior model that systematically facilitates understanding in order to ensure that learners think accurately and ask the right questions about a topic. The data used to develop the experimental model were obtained using four measurement tools…

As young children enter formal schooling, they are at various points along their individual developmental paths toward literacy. Generally, their egocentric speech is becoming more social and they are building their capacity for logical thought and concrete problem-solving. This is a gradual development and teachers can support children's literacy…

This paper presents a case study designed to educate students in pre-service teacher education programs about the importance of a comprehensive eye exam. The case study chronicles a family's multi-year search for solutions to their child's reading difficulties. The research supporting the case study explores the connection between vision…

This case study consisted of an examination of the perspectives of students, teachers, and administrators at the Shuangling Primary School, a rural Chinese school in Shaanxi Province, as they relate to themes of China's most recent curricular reform efforts. The intent was to understand these perspectives and determine how to best assist teachers…

Based on a mixed methods research design that included an examination of the impact of summer, case study analyses, and survey findings, English learners appear to have an advantage over their non-English learner peers in resisting summer loss and developing social competence. This study examined the effect of summer vacation on the oral reading…

Clay's Reading Recovery has been one of the most effective one-to-one tutorial sessions. To make the daily lesson more interesting and fully engage the at-risk readers, the author modified Clay's Reading Recovery Program by conceptualizing phonics and semiotics into early intervention. In this case study, three at-risk first graders formed an…

Although equal sharing problems appear to support the development of fractions as multiplicative structures, very little work has examined how children's informal solutions reflect this possibility. The primary goal of this study was to analyze children's coordination of two quantities (number of people sharing and number of things being shared)…

The No Child Left Behind (NCLB) Act of 2001 requires states to ensure that all students make adequate yearly progress in achieving proficiency in English language arts and math. This study examines how six diverse schools have responded to the challenge of educating their students in math, particularly students with disabilities and other…

In a descriptive study of 103 grade 1 children, including 16 longitudinal case studies, we investigated the use of mathematical structure across a range of mathematical tasks. Children's structural development was inferred from their imagistic representations, supported by analysis of problem-solving behavior during videotaped task-based clinical…

Within a major numeracy project, there were marked differences in achievement between classes, which, as reported in Sullivan and McDonough (2002), we attribute to the teachers. To gain insights into the practices of effective teachers, six case studies of highly effective teachers at the Prep (first year of school) to Grade 2 level were…

In this article, findings from case study research of two effective literacy teachers are presented in order to describe in rich detail the nature of effective scaffolding. The teachers worked one-to-one with first-grade students who were experiencing extreme difficulty in learning to read. The complexity of scaffolding is described in terms of…