Widespread agreement exists that U.S. teachers need improved mathematics knowledge for teaching. Over the past decade, policymakers have funded a range of professional development efforts designed to address this need. However, there has been little success in determining whether and when teachers develop mathematical knowledge from professional…

We describe a four-level spectrum of pedagogical awareness (SPA) that emerged from the analysis of six undergraduate mathematics tutors' (1) conceptualizations of their first-year students' difficulties; (2) descriptive accounts of their strategies for facilitating the overcoming of these difficulties; and (3) self-reflective accounts regarding…

With the No Child Left Behind federal mandate, teachers and school administrators are challenged to provide the best instruction possible in mathematics and reading. Students are required to take the state mandated tests in grades three through eight and in grade ten. The stakes are high in that students may not be passed on to the next higher…

This article describes an approach to teaching linear equations using multiple representations in a highly motivating context. Connections among representations are made explicit to enhance understanding and empower students. (Contains 4 figures.)

Because of No Child Left Behind and the pressure of high stakes testing, many school districts are looking for ways to raise test scores and gain or maintain adequate yearly progress. A successful after-school math tutoring program, a partnership between a rural school district and the local university, is summarized in this article. Keys to this…

The process of choosing strategies within mathematization is described in a multi-method study on solving additions and subtractions. The sample consisted of 40 dyads of 3rd-graders and their teacher from ten mainstream primary schools. From each classroom the two students rated as highest and the two rated as lowest were selected to take part in…

Video is currently a key element of numerous professional development programs, yet relatively little is known about how video fosters changes in teachers' thinking. This study examines how a particular type of video-based professional development, namely video clubs, supports teacher development. Video clubs are professional development…

This paper presents a model of a teacher needs-based (TNB) professional development program. The TNB model formed the foundation of three externally funded professional development programs. The objectives of this model are to maximize the effects of a professional development program, and to help participants sustain their learning over the long…

A postal survey was conducted regarding statistical techniques, research methods and software used in the workplace by 913 graduates with PhD and Masters degrees in the biological sciences, psychology, business, economics, and statistics. The study identified gaps between topics and techniques learned at university and those used in the workplace,…

From a very young age, shoes for boys tend to be wider than shoes for girls. Is this because boys have wider feet, or because it is assumed that girls are willing to sacrifice comfort for fashion, even in elementary school? To assess the former, a statistician measures kids' feet. (Contains 2 tables and 3 figures.)

Out of the 38 nations studied in the 1999 "Trends in International Mathematics and Science Study" (TIMSS), children in Singapore scored highest in mathematics (National Center for Education Statistics, NCES, 2003). Why do Singapore's children do so well in mathematics? The reasons are undoubtedly complex and involve social aspects.…

Drawing conclusions from the comparison of datasets using informal statistical inference is a challenging task since the nature and type of reasoning expected is not fully understood. In this paper a secondary teacher's reasoning from the comparison of box plot distributions during the teaching of a Year 11 (15-year-old) class is analyzed. From…

Dramatic changes are occurring in the teaching and learning of mathematics in the nation's classrooms. It is no longer sufficient to be proficient in basic skills; students are now expected to develop deep conceptual understanding of a broad range of mathematical content areas. While there has been an increased focus on the need for equal…

The overall purpose of this paper is to describe a practical and useful approach to mathematics assessment that is meaningful to teachers, students and families. The format is highly flexible, yet specifically designed to provide detailed information as to the performance characteristics of the student and a variety of curricula and instructional…

While it has been suggested that patterning activities support early algebra learning, it is widely acknowledged that the shift from perceiving patterns to understanding algebraic functions--and correspondingly, from reporting empirical patterns to providing explanations--is difficult. This paper reports on the collaborations of grade 4 students…