Digital curricula can constrain teachers with ready-made instructional materials. The authors used Mathematics Teaching Practices (MTPs) to modify a digital curriculum to engage students in more thoughtful and meaningful lessons. In this article, the authors visit one of their third-grade classrooms, in which they used the prescriptive digital…

Since problem solving became one of the foci of mathematics education, numerous studies have been performed to improve its teaching, develop students' higher-level skills, and evaluate its learning. While these studies usually study specific aspects of problem solving, further research is needed to understand how to address problem solving from a…

This research report describes a Learning Trajectory-based Curricular Design project that engaged teachers and coaches in the design and implementation process. As the project team, we focused on deepening teacher designers' understanding of the learning trajectory (LT) while situating student learning along a continuum to advance student…

In 2009, the North Carolina Community College System (NCCCS) began the process of redesigning developmental mathematics (DMA) courses. The first classes were offered in 2012 with final state implementation in fall 2013. The purpose of this study was to examine the subsequent gateway course success rates achieved by former DMA students in relation…

Reasoning Mind products are used by over 100,000 students a year and have shown positive outcomes. In this design case we focus on implementation: how Reasoning Mind's approach evolved to tackle the challenge of achieving consistently high-quality implementations with many different schools, teachers, and students. Key insights include the…

Reasoning Mind products are used by over 100,000 students a year and have shown positive outcomes. In this design case we focus on implementation: how Reasoning Mind's approach evolved to tackle the challenge of achieving consistently high-quality implementations with many different schools, teachers, and students. Key insights include the…

Background/Context: As increasing attention is paid to preparing students to succeed in school, the development and adoption of research-based curricula have become progressively more important. However, many curricular designs lack a basis in scientific evidence; research and curricular design are frequently treated as two separate enterprises.…

In this paper we focus on variation of the design and the implementation of a specific task during three mathematics lessons in the 8th grade in a learning study (Marton & Tsui, 2004; Runesson, 2008). The theme of the lesson was division, with a denominator between 0 and 1. The teachers wanted their students to understand that when dividing…