Professional Development

We present lessons learned from an ongoing attempt to conceptualize, develop, and refine a way for teachers to gather formative assessment evidence about classroom argumentation as it happens. The system—named DiALoG (Diagnosing Argumentation Levels of Groups)—includes a digital scoring tool that allows teachers to assess oral classroom argumentation across two primary dimensions: one to capture the Intrapersonal, discipline-specific features of scientific arguments, and another to capture the Interpersonal, group regulatory features of argumentation as a dynamic social act.

We present lessons learned from an ongoing attempt to conceptualize, develop, and refine a way for teachers to gather formative assessment evidence about classroom argumentation as it happens. The system—named DiALoG (Diagnosing Argumentation Levels of Groups)—includes a digital scoring tool that allows teachers to assess oral classroom argumentation across two primary dimensions: one to capture the Intrapersonal, discipline-specific features of scientific arguments, and another to capture the Interpersonal, group regulatory features of argumentation as a dynamic social act.

We present lessons learned from an ongoing attempt to conceptualize, develop, and refine a way for teachers to gather formative assessment evidence about classroom argumentation as it happens. The system—named DiALoG (Diagnosing Argumentation Levels of Groups)—includes a digital scoring tool that allows teachers to assess oral classroom argumentation across two primary dimensions: one to capture the Intrapersonal, discipline-specific features of scientific arguments, and another to capture the Interpersonal, group regulatory features of argumentation as a dynamic social act.

Beyond initial college preparation, secondary teachers in the United States have few professional opportunities to do and learn challenging mathematics, especially incollaboration with colleagues. The Mathematics Immersion for Secondary Teachers at Scale program engages sets of teachers in local school sites, connected synchronously and asynchronously to colleagues in other sites, in doing mathematics designed to promote experiences of mathematical immersion, community, and connection to the work of teaching.

In this paper, we network five frameworks (cognitive demand, lesson cohesion, cognitive engagement, collective argumentation, and student contribution) for an analytic approach that allows us to present a more holistic picture of classrooms which engage students in justifying. We network these frameworks around the edges of the instructional triangle as a means to coordinate them to illustrate the observable relationships among teacher, students(s), and content.

In this paper, we network five frameworks (cognitive demand, lesson cohesion, cognitive engagement, collective argumentation, and student contribution) for an analytic approach that allows us to present a more holistic picture of classrooms which engage students in justifying. We network these frameworks around the edges of the instructional triangle as a means to coordinate them to illustrate the observable relationships among teacher, students(s), and content.

The article describes our project that was designed to provide experiences to support paraeducators' professional growth in a large urban district by building their mathematical knowledge for teaching and leadership. Providing paras with professional learning opportunities can open pathways to teaching positions, giving them the potential to diversify the teaching pool and address teacher shortages.

Designed to be integrated with any curriculum, each grade level includes 18-20 one-hour lessons to be conducted throughout the school year. Each LEAP lesson lasts about an hour is designed to fit within a typical daily math instructional period.

LEAP early algebra curriculum for Grades K-5. Grades 3 and 4 currently available, with the remaining books for Grades K-2, 5 in press.

Blanton, M., Gardiner, A., Stephens, A., & Knuth, E. (2020). LEAP: Learning through an early algebra progression. Didax: Rowley, MA.

Instruments designed to measure teachers’ knowledge for teaching mathematics have been widely used to evaluate the impact of professional development and to investigate the role of teachers’ knowledge in teaching and student learning. These instruments assess a mixture of content knowledge and pedagogical content knowledge. However, little attention has been given to the content alignment between such instruments and curricular standards, particularly in regard to how content knowledge and pedagogical content knowledge items are distributed across mathematical topics.