Fostering Equitable Groupwork to Promote Conceptual Mathematics Learning

This study explored the potential impact of teaching outside of one’s field of expertise. This longitudinal cross-case study examined the development of enacted pedagogical content knowledge (ePCK) among a group of in-field and out-of-field (OOF) physical science teachers during their first 3 years of teaching. The components of ePCK investigated included the knowledge and skills related to conceptual teaching strategies and student understanding of science. Seventeen newly hired teachers teaching in and outside their field of expertise participated in the study.
This study explored the potential impact of teaching outside of one’s field of expertise. This longitudinal cross-case study examined the development of enacted pedagogical content knowledge (ePCK) among a group of in-field and out-of-field (OOF) physical science teachers during their first 3 years of teaching.
Teacher education programs have a critical role in supporting prospective teachers’ connections between theory and practice. In this study, authors examined three prospective secondary mathematics teachers’ discourses regarding collective argumentation during and after a unit of instruction addressing collective argumentation and ways they recontextualized their on-campus coursework (theory) into their student teaching (practice) as demonstrated by their support for students’ mathematical arguments during student teaching.
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.
This article presents 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.
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.
This article presents 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.
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.
This article presents 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.
Drawing on rich classroom observations of educators teaching in China and the U.S., this book details an innovative and effective approach to teaching algebra at the elementary level, namely, "teaching through example-based problem solving" (TEPS).
Drawing on rich classroom observations of educators teaching in China and the U.S., this book details an innovative and effective approach to teaching algebra at the elementary level, namely, "teaching through example-based problem solving" (TEPS).
This chapter offers lessons learned by teacher educators who guided preservice teachers in the modification of hands-on engineering lessons for virtual implementation during the spring 2020 semester as part of an NSF-funded project. PSTs delivered engineering lessons both synchronously and asynchronously to elementary school students and reported positive learning opportunities, gaining confidence and competence from their experiences.
This chapter offers lessons learned by teacher educators who guided preservice teachers in the modification of hands-on engineering lessons for virtual implementation during the spring 2020 semester as part of an NSF-funded project.
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.
This article provides content maps for two widely used teacher assessment instruments in the USA relative to the widely adopted Common Core State Standards. This common reference enables comparisons of content alignment both between the instruments and between parallel forms within each instrument.
This article elaborates a theoretical, methodological, and analytical approach intended to highlight the materiality and reciprocity of noticing in mathematics classrooms. Drawing from highly resonant concepts from materialism and Indigenous Knowledges—two perspectives that researchers rarely bring into dialogue—this alternative approach explores the reciprocal, material, and more-than-human nature of noticing. By focusing on the role of movement in noticing, the approach discusses the indivisibility of sensing and making sense as students and teachers mobilize mathematical concepts.
This article elaborates a theoretical, methodological, and analytical approach intended to highlight the materiality and reciprocity of noticing in mathematics classrooms.