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…

In this article, the author describes strategies to support students in conjecturing in ways that promote their agency. Conjecturing involves justifying (i.e., a practice that promotes epistemic agency and engages students in mathematical reasoning to defend their claims; Bieda & Staples, 2020) by which a conjecture becomes proven, modified,…

If schools are to prepare students to participate more productively in civic life, schools will need to ensure that they have opportunities to practice the skills of civic reasoning, argues Carol Lee. Yet schools are challenged by the limits in the curriculum and the difficulty of addressing the different types of prior knowledge that students…

The current project, Exploring Math Education Relations by Analyzing Large Data Sets (EMERALDS) II, is an attempt to identify specific Common Core State Standards procedural, conceptual, and problem-solving competencies in earlier grades that best predict success in algebraic areas in later grades. The data for this study include two cohorts of…

College readiness of students and the effectiveness of remedial mathematics courses have been under consideration for the last two decades. There is a considerable misalignment between the expectations of students regarding secondary education and those regarding higher education. Information about current expectations and perspectives of college…

Measurement is an important component of K-grade 12 mathematics curricula. The concepts of area and perimeter of polygons are first introduced in third grade and serve as the basis for teaching in the upper grades. Without a strong understanding of measurement, students will struggle to meaningfully grasp three-dimensional measurement concepts…

The Common Core State Standards (CCSS) have recommended that students increase reading of expository texts in order to be successful in both the university setting and in the workplace. Yet, frequently, the demands of expository text involve prior knowledge that might be limited for students of low socioeconomic status (SES). In this study, we…

School district central offices regularly engage with external partners in improvement efforts, but these partnerships are not always productive. Indeed, little is known about under what conditions partnerships are likely to lead to organizational learning outcomes. We conducted a longitudinal comparative case study of two departments in one urban…

We used a design-based research model to examine a historical literacy intervention in Grade 6 classrooms. This article describes the results across 2 separate instructional cycles and for students grouped into 4 categories: (a) high-achieving students (n = 23 and n = 24 for Cycle I and Cycle II, respectively), (b) average-achieving students (n =…

The Common Core State Standards and Response to Intervention are significant contemporary educational initiatives that have emerged largely in isolation from one another. We argue that an integration of these initiatives is beneficial. We trace the independent development of these two initiatives and offer suggestions for how they might fruitfully…