Pedagogical Content Knowledge

The purpose of this study is to explore if and how different types of video annotations support pre-service teachers (PSTs) in learning how to notice student multimodal, or verbal and non-verbal, mathematical thinking. We implemented a video club intervention in a middle grades mathematics methods class. We asked PSTs to annotate classroom videos using two types of annotations. The first type was a pinning tool, which allowed the PSTs to mark video timestamps. The second type was a drawing tool, which allowed PSTs to draw directly on the video.

This study explores how Learning by Evaluating (LbE) can be integrated into the 5E instructional model to support technology and engineering education. LbE, influenced by comparative judgment, engages students in analyzing peer work to foster reflection, design reasoning, and iterative thinking. Using qualitative content analysis of teacher interviews, this research investigates how LbE can contribute to each phase of the 5E model: Engage, Explore, Explain, Elaborate, and Evaluate.

Professional noticing is a critical skill for teachers, enabling them to interpret and respond to significant moments in the classroom to support student learning. While recent theoretical papers have broadened the conceptualization of noticing to include social, embodied, and environmental factors, empirical research exploring the interaction of such domains is limited.

Fostering student engagement with mathematical reasoning and proving requires a special kind of teacher knowledge – Mathematical Knowledge for Teaching Proof (MKT-P). One important component of MKT-P is Knowledge of Content and Teaching specific to Proof (KCT-P), which is knowledge of pedagogical practices for supporting student learning of proof. Providing effective feedback on students' mathematical arguments is one of the key aspects of KCT-P.

We extend research that connects teacher noticing expertise and instructional quality by providing rich illustrations of these connections at three levels of noticing expertise. Grounded in a vision of teaching that is responsive to children’s mathematical thinking, we investigated connections between teachers’ expertise in noticing children’s thinking and their centering of children’s thinking in whole-class discussions. We showcase three upper elementary school teachers as focal teachers, each with a different level of noticing expertise.

In this article, we present a framework of culturally relevant science and mathematics pedagogy (CRSMP), which is grounded in the tenets of culturally relevant pedagogy. It delineates practices ranging from the most accessible and easy-to-implement, to the most challenging and often contentious ways to teach mathematics and science. We provide examples of CRSMP that re-position marginalized learners in relation to science and mathematics.

Critical elements of the expertise of mathematics teacher educators (MTE) can be identified in the artifacts they design for working with prospective teachers (PT), specifically for engaging PT in the double role of practitioners and students of practice. While MTE are increasingly utilizing designed multimodal representations of practice (such as storyboards), theoretical frameworks and methods for analyzing these pedagogical artifacts and the meanings they support are still in early development.

Educative curriculum materials (ECM) have been shown to support K-12 teacher learning, but little is known about teacher educators’ use of ECM. In this study, we report on enactments of ECM designed to support the development of preservice elementary teachers’ content knowledge for teaching about matter in two different courses to understand how teacher educators use ECM. Participants were two full professors teaching science content and science methods courses for elementary preservice teachers at a public university in the Pacific Northwest.

Educative curriculum materials (ECM) have been shown to support K-12 teacher learning, but little is known about teacher educators’ use of ECM. In this study, we report on enactments of ECM designed to support the development of preservice elementary teachers’ content knowledge for teaching about matter in two different courses to understand how teacher educators use ECM. Participants were two full professors teaching science content and science methods courses for elementary preservice teachers at a public university in the Pacific Northwest.

Proportional reasoning is an important but challenging skill for students and teachers. This article, presents findings from two studies investigating whether four categories of reasoning identified by Copur-Gencturk et al. (2022, A Closer Look at Teachers’ Proportional Reasoning. International Journal of Science and Mathematics Education, 21(1), 113–129) apply to a national sample of U.S. middle school mathematics teachers (N = 1,320) and can be captured consistently by similar tasks.