Researchers have recently used traditional item response theory (IRT) models to measure mathematical knowledge for teaching (MKT). Some studies (e.g., Hill, 2007; Izsak, Orrill, Cohen, & Brown, 2010), however, have reported subgroups when measuring middle-grades teachers' MKT, and such groups violate a key assumption of IRT models. This study…

This study explores the relationship between teacher knowledge and student learning in the area of mathematics by developing and evaluating an innovative approach to assessing teacher knowledge. This approach is based on teachers' analyses of classroom video clips. Teachers watched 13 video clips of classroom instruction and then provided written…

The research article in this article is part of a larger study that examines an initiative to expand teacher expertise in facilitating mathematical problem solving within the framework of developing and field-testing pedagogical resources. We focus on one year of the study and report on the complex process of professional development as teachers…

This report presents the results of an experiment conducted in Alabama beginning in the 2006/07 school year, to determine the effectiveness of the Alabama Math, Science, and Technology Initiative (AMSTI), which aims to improve mathematics and science achievement in the state's K-12 schools. This study is the first randomized controlled trial…

This article begins to unravel the question, "What curricular materials work best under what kinds of conditions?" The authors address this question from the point of view of teachers and their ability to implement mathematics curricula that place varying demands and provide varying levels of support for their learning. Specifically, the…

Dividing by zero can be confusing for students at all levels. If teachers are to provide clear and understandable explanations of this topic, they must possess a strong conceptual understanding of it themselves. In this article, the authors present qualitative data on fourth- through eighth-grade teachers' perceptions of division by zero. They…

On March 13, 2008, the National Mathematics Advisory Panel submitted its Final Report to the President of the United States and the Secretary of Education, and it was officially released to the public on that date, as well. The Panel agrees that the delivery system in mathematics education--the system that translates mathematical knowledge into…

In a paper published in "The Language Learning Journal" in 2005, Eric Hawkins describes his vision of language education as an apprenticeship comprising two stages. In stage one (ages 5-14), the purpose is "educational" and the focus is on language awareness; in stage two (14-19), the purpose is "instrumental" and…

This paper provides a glimpse into the positive effect on student learning as a result of empowering a classroom teacher of 20 years (Andrea) with subject matter knowledge relevant to developing fraction understanding. Having a facility with fractions is essential for life skills in any society, whether metricated or non-metricated, and yet…

This study investigated teachers' beliefs and practices of cooperative learning, and strove to determine whether their observed teaching practices reflected their stated beliefs. Findings of the study revealed that teachers understood cooperative learning to mean small groups of students working together to accomplish a particular assignment. The…

Despite the current legislation requiring sex education as part of the school curriculum in Portugal, great obstacles to its implementation remain. Furthermore, sex education is far from being systematically administered. Thus, the main interest in our project was to validate a scale that measures teachers' attitudes towards sex education. There…

An evaluation mosaic brings together different methods and forms to present an overall picture of the impact this professional learning experience had on teachers' practices and on student achievement. Using this framework, professional developers were able to determine whether they were getting the results they wanted--and they did.