The Common Core State Standards for Mathematical Practice asks students to look for and make use of structure. Hence, mathematics teacher educators need to prepare teachers to support students' structural reasoning. In this article, we present tasks and rubrics designed and validated to characterize teachers' structural reasoning for the purposes…

Understanding negative numbers can be challenging for many students, as these concepts may seem less tangible than counting objects, which are commonly represented by positive numbers. In addition, the multiplication of two negative numbers resulting in a positive might appear inconsistent and puzzling to young learners who are used to seeing the…

While the Common Core State Standards for Mathematical Practice are a focal point of K-12 mathematics education, there is limited research examining how future teachers' (e.g., undergraduate students, teacher candidates) develop their conceptions of these standards. We investigate how opportunities within a mathematics-focused bridge course within…

In this qualitative study, the researchers investigated the types of K-6th grade lessons 16 preservice elementary teachers created based on mathematics-themed children's books. Lessons were analyzed using Stein et al.'s (2017) Task Analysis Guide (TAG), as well as grouped based on grade level and covered Common Core State Standards Mathematical…

This article examines several important moments in the history of mathematics education history to provide another lens through which to view modern mathematics education in the United States. At the turn of the twentieth century, mathematics education in the United States had been the subject of educational concern for more than a century.…

We studied how the distal policy mechanisms of curricular aims and objectives articulated in official curriculum documents influenced classroom instruction, and the factors that were associated with the enactment of those curricular aims and objectives. The study was set in the U.S. context, where there is an ambitious effort to transform…

Struggling math students often have difficulty developing a sense of self-efficacy and intrinsic motivation to learn math, which has been found to predict future math achievement (Pitsia et al., 2017). Conventional methods of math instruction and assessment may provoke elevated levels of math anxiety for many students, which has been found to…

This study aimed to determine the impact of the Math Matters Program on student achievement in third- and fourth-grade math and to understand leaders' perceptions of the Math Matters Program. Researchers analyzed end-of-year or spring Northwest Evaluation Association and Measures of Academic Preparation math results across treatment and control…

This study aimed to determine the impact of the Math Matters Program on student achievement in third- and fourth-grade math and to understand leaders' perceptions of the Math Matters Program. Researchers analyzed end-of-year or spring Northwest Evaluation Association and Measures of Academic Preparation math results across treatment and control…

In their commentary, "Toward a Framework for Research Linking Equitable Teaching with the Standards for Mathematical Practice," Bartell et al. (2017) provide a stepping-stone into the challenge of clarifying the interface between equity and standards setting in mathematics education by devising a framework that relates the "Common…

To prepare students for college and careers, the Common Core Mathematical Practice Standards propose teachers engage students in classroom discourse where they make sense of mathematics by working collaboratively and communicating their thinking. The purpose of this mixed methods study was to explore the relationship between a blended learning…

While contemporary mathematics education literature argues that curricular resources, such as textbooks, play a significant role guiding mathematics teachers in what and how they teach, it also shows that these resources often do not do what they say they will do, nor adhere to the standards they claim to further. When it comes to the most…

The Common Core State Standards for Mathematics ("CCSSM") explicitly states many specific theorems for students to prove across multiple domains (i.e., congruence, similarity, circles, and coordinates) in high school geometry. This study examined five high school geometry textbooks for how they approached proof of 17 theorems stated in…

Preservice mathematics teachers today are charged with the challenging yet vital task of learning how to authentically engage their future students in the Standards for Mathematical Practice. These eight practices specify the various levels of competence that mathematics teachers of all levels should explore to see their students flourish. While…

Establishing professional communities of educators from districts and schools has gained popularity as a mechanism for collaboratively thinking through and enacting change in education. In 2013, 10 California school districts received grant funding from the S. D. Bechtel, Jr. Foundation ("the Foundation") to participate in the Math in…