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This article presents EarSketch, a learning environment that combines computer programming with sample-based music production to create a computational remixing environment for learning introductory computing concepts. EarSketch has been employed in both formal and informal settings, yielding significant positive results in student content knowledge and attitudes toward computing as a discipline, especially in ethnic and gender populations that are currently underrepresented in computing fields.

This report gives an overview of a principled approach to designing assessment tasks that can generate valid evidence of students’ abilities to think computationally. Principled assessment means designing assessment tasks to measure important knowledge and practices by specifying chains of evidence that can be traced from what students do (observable behaviors) to claims about what they know.

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.

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.

Given the current emphasis on the use of transformations for the teaching and learning of geometry, there is opportunity to consider how students’ understanding of geometric transformations can be used to build connections with interrelated concepts. We designed a sequence of three problems, collectively referred to as “the pottery lesson,” to elicit evidence of students’ understanding of reflections. We asked: What conceptions of reflection did students use while working on the pottery lesson?

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. We ask: What practices (and moves within those practices) do the facilitators enact during high-quality conversations and specific to the professional development activities?

The authors report on an immersive mathematics professional development program facilitated by online technology that provides participants with the opportunity to do  mathematics for themselves and to reflect on that experience and its impact on their professional work. In particular, the article describes design principles for creating or running your own such professional development.