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We examined the relationships between different aspects of mathematics engagement for 285 students in their first year of high school in the United States. Path Analyses were used to trace the relationships between students' self-reported prior motivation and appraisals of control and value of mathematics, perceptions of teacher support and peer support. These variables and observed teacher and peer support as coded from video by researchers, were examined as potentially impacting students' self-reported in-the moment affect and task-level control and value appraisals Our results showed three key contributions. First, significant paths corresponded to relationships predicted by Control Value Theory (CVT) across a particularly robust set of variables and over the course of their first semester in high school. Second, results added further nuance by considering the objects that students' in-the-moment emotions were directed toward, showing distinctions between positive and negative emotions directed at the mathematics task, students' teachers and peers, and selves. Third, results more closely considered the impact of both observed and perceived aspect of support from peers and teachers in the classroom, in both its academic and social forms. Implications are discussed for theory and practice. [ABSTRACT FROM AUTHOR]

In this article we examine how students engage in learning mathematical concepts in the middle grades of an urban public school in the Southwestern United States. In the context of a 3-year National Science Foundation- funded longitudinal study of the development of students' rational number understanding, we encountered differing levels of engagement among urban youth. We found that these levels of engagement are a byproduct of classroom teachers' practices and their expectations for student work in a high poverty, primarily Latino neighborhood school. This article describes ways in which classroom culture, including instruction and teacher expectations, influence the nature and extent of students' experiences and engagement in the middle school mathematics learning environment. [ABSTRACT FROM AUTHOR]

Video cases are becoming more and more prevalent throughout the United States to assist in the development and growth of preservice teachers’ instruction. This research investigates the perspectives of preservice teachers and their naïve understandings of the kinds of learning and assistance video cases can provide in their methodology courses. Personal Construct Theory was used to uncover participants’ perceptions of their needs in terms of curriculum content of video cases. Hierarchical cluster analysis revealed six distinct clusters which serve as themes for discussing the early needs of preservice teachers and how video cases might be configured to address these perceived needs. Results reveal that preservice teachers’ beliefs, though naïve, do reflect the research on the actual needs of teachers in their first years of induction and support. Perhaps if preservice teachers’ predilections are examined, this data can help guide the future implementation of video cases in their university courses. [ABSTRACT FROM AUTHOR]