This article examines the development of professional knowledge in pre-service mathematics teachers. From the discussion of a task associated with the multiplication of consecutive integer numbers, generalization is recognized as a process that allows to explore, to explain, and to validate mathematical results, and as an essential ability to…

Professional learning communities can be important sites for teacher learning depending on the quality of the conversations in these communities. This paper investigates how different activities in teacher communities support different content and depth in teacher conversations, through examining the conversations of four professional learning…

In this mixed methods study, the researchers developed a video-based measure called a "Prediction Assessment" to determine preservice elementary teachers' abilities to predict students' scientific reasoning. The instrument is based on teachers' need to develop pedagogical content knowledge for teaching science. Developing a knowledge…

Easy access to low-cost, high definition video technology has transformed how researchers and practitioners are approaching school improvement efforts. Video-based observations of classroom instruction provide researchers the means to define and measure aspects of effective teaching and suggest subsequent professional learning. In this article we…

There is a growing evidence that flipped classrooms are associated with increased levels of student engagement, as compared to engagement in "traditional" settings. Much of this research, however, occurs in post-secondary classrooms and is based upon self-reported engagement data. This study seeks to extend existing flipped classroom…

Mathematical disagreements occur when students challenge each other's ideas related to a mathematical concept. In this research, we examined Hong Kong and U.S. elementary teachers' perceptions of mathematical disagreements and their resolutions using a video-stimulated survey. Participants were directed to give particular attention to the…