In this study, I examined the relationship between teachers' mathematical knowledge and instruction. Twenty-one K—8 teachers who were enrolled in a master's program were followed for 3 years to study how their mathematical knowledge and teaching changed over time. The results of multilevel growth models indicated that gains in teachers' mathematical knowledge predicted changes in the quality of their lesson design, their mathematical agenda, and the classroom climate. Analyses of interviews and classroom observation data conducted with a subgroup of teachers revealed that in addition to the gains teachers made in their mathematical knowledge, their exit level of knowledge played a significant role in the quality of the changes in their practices.
Emily Miller, Martha Makowski, Yasemin Copur-Gencturk and Sarah Lubienski
Large–Scale Studies in Mathematics Education, edited by James A. Middleton, Jinfa Cai, and Stephen Hwang, presents mathematics education research covering a broad range of topics using a variety of data sources and analysis techniques. By spotlighting this work, the editors hope to encourage the use of large–scale data sets, which they argue are underutilized by mathematics education researchers. Middleton, Cai, and Hwang contend that “large scale studies can be both illuminative—uncovering patterns not yet seen in the literature, and critical—changing how we think about teaching, learning, policy, and practice” (p. 12). With its inclusion of studies using large–scale data sets and expository papers concerning methodological considerations, the book effectively challenges the reader to consider issues of scale. The book has 18 chapters organized into four sections on curriculum, teaching, learning, and methodology. Although the volume is organized by these areas of interest, we suggest that prospective readers peruse chapters in all sections. As the book editors note, the boundaries between sections are far from clear–cut, and readers may find work relevant to their area of interest throughout the book.