A major influence on mathematics teachers' instruction is their beliefs. However, teachers' instructional practices do not always neatly align with their beliefs because of factors perceived as constraints. The purpose of this article is to introduce a new approach for examining the relationship between teachers' beliefs and practices, an approach…

The adoption of the Common Core State Standards has necessitated a change in the instructional practices used by many mathematics teachers. The new standards encourage problem solving and the development of conceptual understanding rather than rote memorization of formulas and rules. Researchers have demonstrated that formative assessment is a…

The Common Core State Standards for Mathematics (CCSS-M) aim to engage students in complex mathematical practices, including modeling, reasoning, and argumentation. Currently, little is known about how teachers' daily instruction supports these practices. This study draws upon data from daily logs completed by third-, fourth-, and fifth-grade…

The year students take Algebra I historically determines how far they progress in secondary mathematics, creating complex equity issues around access to this course. By examining a case study of one large, urban school district adjusting to the Common Core State Standards in Mathematics (CCSS-M), we demonstrate how district leaders' interactions,…

The purpose of this paper is to describe the mathematics that emanates from the construction of an origami box. We first construct a simple origami box from a rectangular sheet and then discuss some of the mathematical questions that arise in the context of geometry and algebra. The activity can be used as a context for illustrating how algebra…

The discipline of mathematics values precision and teachers are accountable for promoting and supporting their students in attending to precision (ATP), which in the USA is an explicit standard for mathematical practice included in the "Common Core State Standards for Mathematics." This study used thematic discourse analysis to examine…

This study investigated how eleven secondary mathematics teachers used curriculum resources to plan and enact lessons that support the participation of emergent bilingual (EB) students in mathematical practices in their linguistically diverse classrooms. EB students classified as English Learners often experience mathematics as a set of…

The adoption of the Common Core State Standards for Mathematics (CCSSM) (CCSSI 2010) has caused a shift in the expectations for student learning, with implications for teaching. It has also introduced a new kind of standard focused on the way that students think about content in the form of the Standards for Mathematical Practice (SMP). The SMP…

Preservice teachers (PSTs) must be able to link content, effective teaching practices, and student learning; thus, it is critical for teacher educators to emphasize connections between research and practice in methods courses. Reflection plays an important role in this process. In this article, the authors discuss and illustrate a vignette…

This manuscript focuses on practical questions in a study that describes the perceptions of four teachers at the beginning stages of Common Core Mathematics implementation in a historically underperforming school district. The overarching goal was to understand the collaborative inquiry experience in a lesson study that focused on teaching the…

There is a vital need in the mathematics and science teaching and learning community at the secondary school level for assistance for teachers in adapting curricular materials to meet the many district, state, and national demands and to facilitate high-quality learning of students and their ability to transfer this learning and apply it as they…

This article explores the potential for aspects of abstract algebra to be influential for the teaching of school algebra (and early algebra). Using national standards for analysis, four primary areas common in school mathematics--and their progression across elementary, middle, and secondary mathematics--where teaching may be transformed by…

This study examines the relationship between specific leadership behaviors (i.e. the extent to which principals establish goals and expectations; plan, coordinate and evaluate teaching and the curriculum; and promote and participate in teacher learning) and teachers' self-reported sense of preparedness and self-reported use of practices that align…

In this paper, we report on teachers' use of curricula and other instructional resources to address Common Core State Standards (CCSS), as well as how use of instructional materials is related to instructional practice. We draw on data from the American Teacher Panel, a nationally representative sample of teachers who periodically provide…

For several years, WestEd's Measure to Learn and Improve (MLI) project team has kept California state policy leaders informed about the statewide implementation of the California Academic Standards in English language arts and mathematics, by summarizing and disseminating results from the RAND Corporation's annual American Educator Panel (AEP)…