Mathematical modeling has been highlighted recently as Common Core State Standards for Mathematics (CCSSM) included Model with Mathematics as one of the Standards for Mathematical Practices (SMP) and a modeling strand in the high school standards. This common aspect of standards across most states in the United States intended by CCSSM authors and…

Learning from the practice of teaching teachers is a promising approach for mathematics teacher educators to attain the extensive knowledge and abilities needed for their roles. As mathematics teacher educators ourselves striving to develop across our professional lifespans, we used one such approach, known as a lesson experiment, to investigate…

Pre-service teachers need to develop habits of mind that allow them to grow as new teachers. This article describes an elementary mathematics methods course in which teaching as an experiment was used a framework for pre-service teachers to participate in action research by developing learning goals, observing and analyzing student thinking,…

This article develops an expanded, collaborative and structured view of the process of critiquing observed lesson fragments and shows how this process can be used as a model for developing students' understanding and thinking about teaching and learning processes. The authors introduce Carter's (2007) notion of a meta-genre, "[a] way of doing…

In situations where it is not possible for trainees to practice teaching in local schools, teaching short lessons to their peers--called microteaching--can provide beneficial experience and feedback to teachers-in-training. The article includes guidelines for presenters, observers, and teacher trainers as well as a sample practicum class schedule…