The idea that success in mathematics is only available to those born as “mathematics people” has been challenged in recent years by neuroscience, showing that mathematics pathways develop in the brain through learning and practice. This paper reports on a blended professional learning model of online and in-person meetings during which 40 teachers in 8 school districts in the US learned about the new brain science, challenging the “math person” myth, as well as effective mathematics teaching methods. We refer to the combination as a Mathematical Mindset Approach. Using mixed methods, we conducted a one-year study to investigate teacher and student learning in a Mathematical Mindset network. We collected data on teacher and student beliefs, teacher instructional practice, and student learning gains on state achievement tests. The results from our quantitative analyses found statistically significant positive improvements in student beliefs, teacher’s instructional practice, and on students’ math test scores. The mindset approach particularly raised the achievement of girls, English learners, and economically disadvantaged students. Based on our qualitative analysis, we propose that the success of the intervention rests upon two central factors: (1) The different forms of PD served to eradicate the learning myths that had held up teachers and learners; and that (2) Teachers had space for identity work as mathematical learners.
22 November 2017 in International Journal of STEM Education
This paper describes the Problem-Solving Cycle model of professional development and the Mathematics Leadership Preparation model of PD leader preparation. These models form the backbone of our current research-practice partnership project in which we are working with a large urban district to adapt these models to develop district capacity to support the implementation of a middle school mathematics curriculum aligned with Common Core State Standards (CCSS). We highlight the central role of video in the Problem-Solving Cycle and our approach to preparing teacher leaders to use video-based discussions to understand student thinking and instructional practices. The first phase of the research was designed to identify how the models were adapted to support the district goals for implementing their new CCSS mathematics curriculum and to understand the reasons for the adaptations. The analysis of multiple data sources revealed two overarching categories of adaptations that we made to refine the models to better support the district goals: addressing district priorities and addressing teacher leaders’ limited experience. We made adaptations such as incorporating the district curriculum, addressing the needs of English learners, integrating the teacher leaders’ learning of the Problem-Solving Cycle model into the leadership preparation session, increasing the emphasis on what it means to be an instructional leader, strengthening the role of modeling and debriefing activities to support leadership development, scaffolding the selection of video clips, and incorporating the use of rehearsals and debriefing activities to support leadership development. The implications of this work illustrate the need for researchers to be responsive to the context of their school partners if they expect their work to be meaningful. Using the frame of design-based implementation research proved to be an effective strategy for working with the district STEM leadership team and teacher leaders to adapt the Problem-Solving Cycle and Mathematics Leadership Preparation models to support district implementation of a new curriculum that necessitates shifts in teacher practices and for determining how to make video-based discussions more productive activities in the models.
This study investigates how teachers facilitate small-group mathematical discourse during Design & Pitch (D&P) Challenges in STEM, an experiential framework combining entrepreneurial, project-based, and design-based learning. By examining teacher interactions, we explore how educators draw on their personal practical knowledge to support student thinking and navigate the unpredictable nature of student-generated ideas in these innovative learning environments. This exploratory study investigates how teachers drew on their personal practical knowledge during group check-ins, leveraging teacher discourse moves (TDMs) to facilitate student thinking and mathematics learning. We analyzed 14 video-recorded small-group check-ins, memoed for evidence of personal practical knowledge and coded using a priori TDMs drawn from the North Carolina Collaborative for Mathematics Learning (NC2ML) framework. A thematic analysis of the coded transcripts revealed patterns in how teachers facilitated discourse, leading to three emergent themes: positioning students as experts, co-designing with students, and pushing students toward an outcome. These findings provide insight into how discourse moves can be used to support small group discussions within an entrepreneurial design project, as well as the challenges that emerge for teachers when guiding students towards desired outcomes.