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Noticing students' mathematical thinking is a key element of effective instruction, but novice teachers do not naturally engage in this practice. Prospective secondary school mathematics teachers were engaged in an intervention grounded in analysis of minimally edited video from local secondary school mathematics classrooms; the goal was to support their ability to notice important student thinking within the complexity of instruction. Evidence of participants' learning in five iterations of the intervention is discussed, including their focus on student mathematical thinking, their ability to discuss the mathematics in that thinking, and their ability to notice particular high-leverage instances of student thinking.

From a social semiotic perspective, students’ use of language is fundamental to mathematical meaning making. We applied thematic analysis to examine students’ use of geometric and contextual ideas while solving a geometry problem that required them to determine the optimal location for a new grocery store on a map of their local community. Students established semantic patterns to connect the problem context to geometry. Groups differed in how they used geometry in their discussion of the solution, in particular with how students used distance to describe the location of a new grocery store. Overall, students’ knowledge of the problem context served as a resource for them to establish geometric meanings. Thematic analysis, which describes the connections in students’ talk between out-of-school and discipline-specific knowledge, highlights ways in which instruction can build upon students’ prior experiences for the purpose of learning in school.

This study investigates facilitation of professional development to promote teacher learning when using animations and videos in a study group with five teachers.

This article describes design principles for creating or running a professional development model where teachers work with colleagues and experience a manner of teaching that embeds habits of mind.

Providing opportunities for learning through professional development requires the examination of facilitation of sessions with teachers. This study investigates facilitation of professional development to promote teacher learning when using animations and videos in a study group with five teachers.

Co-author of the "Engineering for Every K–12 Student" report, Catherine McCulloch reflects on the status of engineering education and shares a few key takeaways from the report.

A Landscape Analysis of K–12 Engineering Education in the Greater Boston Region

How can research-based findings and advances help society to re-envision STEM learning and education? This report captures key takeaways, strategies, and challenges identified during the November 2015 workshop, including: research-based advances for STEM learning; multiple stakeholder communities around STEM schools; social justice, equity, and excellence in STEM schools and communities; scale and sustainability

How do we measure knowledge in use? In this paper we describe how we use principles of evidence-centered design to develop classroom-based science assessments that integrate three dimensions of science proficiency—disciplinary core ideas, science practices, and crosscutting concepts.