Teacher Practice

The Development of Critical Teaching Skills for Preservice Secondary Mathematics Teachers Through Video Case Study Analysis

Using social learning theory with the central concept of a community of practice, we situate this work within a secondary mathematics methods course to unpack preservice secondary mathematics teachers (PSMTs) development through the use of video case studies. We analyzed six sessions of the course in which PSMTs engaged in discussions about video segments of mathematics teaching rooted in the Teaching for Robust Understanding (TRU) framework for high-quality instruction. Analysis of this data showed opportunities for PSMTs to develop critical skills for teaching (Hiebert et al., 2007).

Author/Presenter

Helene S. Leonard

Youngjun Kim

Su San Lim

Victoria D. Bonaccorso

Joseph DiNapoli

Eileen Murray

Lead Organization(s)
Year
2021
Short Description

Using social learning theory with the central concept of a community of practice, we situate this work within a secondary mathematics methods course to unpack preservice secondary mathematics teachers (PSMTs) development through the use of video case studies. We analyzed six sessions of the course in which PSMTs engaged in discussions about video segments of mathematics teaching rooted in the Teaching for Robust Understanding (TRU) framework for high-quality instruction.

360 Video as an Immersive Representation of Practice: Interactions between Reported Benefits and Teacher Noticing

This study examined and compared teachers’ perceived affordances of 360 video as a representation of practice and their professional noticing of students’ mathematics in 360 videos. Data were collected from both preservice and inservice teachers (n = 34) enrolled in one of three mathematics pedagogy courses. Data included participant responses after watching a 360 video of a primary grades mathematics lesson on the commutative property. Teachers described an important student action and indicated where they focused while watching the video.

Author/Presenter

Karl Wesley Kosko 

Tracy Weston

Julie Amador

Lead Organization(s)
Year
2021
Short Description

This study examined and compared teachers’ perceived affordances of 360 video as a representation of practice and their professional noticing of students’ mathematics in 360 videos. Results from this study suggest that referencing teacher movement and student tables or groups is associated with a higher focus on student actions and that 360 video affords opportunities for teachers to notice students’ mathematical thinking.

Establishing Student Mathematical Thinking as an Object of Class Discussion

Productive use of student mathematical thinking is a critical yet incompletely understood dimension of effective teaching practice. We have previously conceptualized the teaching practice of building on student mathematical thinking and the four elements that comprise it. In this paper we begin to unpack this complex practice by looking closely at its first element, establish.

Author/Presenter

Keith R. Leatham

Laura R. Van Zoest

Ben Freeburn

Blake E. Peterson

Shari L. Stockero

Year
2021
Short Description

Productive use of student mathematical thinking is a critical yet incompletely understood dimension of effective teaching practice. We have previously conceptualized the teaching practice of building on student mathematical thinking and the four elements that comprise it. In this paper we begin to unpack this complex practice by looking closely at its first element, establish. Based on an analysis of secondary mathematics teachers’ enactments of building, we describe two critical aspects of establish—establish precision and establish an object—and the actions teachers take in association with these aspects.

Establishing Student Mathematical Thinking as an Object of Class Discussion

Productive use of student mathematical thinking is a critical yet incompletely understood dimension of effective teaching practice. We have previously conceptualized the teaching practice of building on student mathematical thinking and the four elements that comprise it. In this paper we begin to unpack this complex practice by looking closely at its first element, establish.

Author/Presenter

Keith R. Leatham

Laura R. Van Zoest

Ben Freeburn

Blake E. Peterson

Shari L. Stockero

Year
2021
Short Description

Productive use of student mathematical thinking is a critical yet incompletely understood dimension of effective teaching practice. We have previously conceptualized the teaching practice of building on student mathematical thinking and the four elements that comprise it. In this paper we begin to unpack this complex practice by looking closely at its first element, establish. Based on an analysis of secondary mathematics teachers’ enactments of building, we describe two critical aspects of establish—establish precision and establish an object—and the actions teachers take in association with these aspects.

Establishing Student Mathematical Thinking as an Object of Class Discussion

Productive use of student mathematical thinking is a critical yet incompletely understood dimension of effective teaching practice. We have previously conceptualized the teaching practice of building on student mathematical thinking and the four elements that comprise it. In this paper we begin to unpack this complex practice by looking closely at its first element, establish.

Author/Presenter

Keith R. Leatham

Laura R. Van Zoest

Ben Freeburn

Blake E. Peterson

Shari L. Stockero

Year
2021
Short Description

Productive use of student mathematical thinking is a critical yet incompletely understood dimension of effective teaching practice. We have previously conceptualized the teaching practice of building on student mathematical thinking and the four elements that comprise it. In this paper we begin to unpack this complex practice by looking closely at its first element, establish. Based on an analysis of secondary mathematics teachers’ enactments of building, we describe two critical aspects of establish—establish precision and establish an object—and the actions teachers take in association with these aspects.

Representations of Practice Used in Mathematics Methods Courses

This preliminary study explored how many representations of standard videos, animations/comics, and 360 videos are being used in mathematics methods courses to teach future teachers. Drawing on knowledge from prior studies on standard videos, this study aimed to address the gaps in literature to encompass other representations that are being utilized and obtained. Analyses show that standard videos are the primary medium being used to teach future teachers in math methods, followed by animations/comics, and then 360 videos.

Author/Presenter

Christine K. Austin

Karl W. Kosko

Lead Organization(s)
Year
2022
Short Description

This preliminary study explored how many representations of standard videos, animations/comics, and 360 videos are being used in mathematics methods courses to teach future teachers. Drawing on knowledge from prior studies on standard videos, this study aimed to address the gaps in literature to encompass other representations that are being utilized and obtained.

Situating Presence within Extended Reality for Teacher Training: Validation of the Extended Reality Presence Scale (XRPS) in Preservice Teacher Use of Immersive 360 Video

The use of video is commonplace for professional preparation in education and other fields. Research has provided evidence that the use of video in these contexts can lead to increased noticing and reflection. However, educators now have access to evolving forms of video such as 360 video. The purpose of this study was to adapt and validate an instrument for assessing immersive 360 video use in an undergraduate preservice teacher university training program.

Author/Presenter

Enrico Gandolfi

Karl W. Kosko

Richard E. Ferdig

Lead Organization(s)
Year
2021
Short Description

The purpose of this study was to adapt and validate an instrument for assessing immersive 360 video use in an undergraduate preservice teacher university training program.

Using 360-degree Video to Explore Teachers' Professional Noticing

Professional noticing is an essential skill for teachers that is enacted by teachers via their embodied senses (sight, sound, etc.). To better understand the nature of teacher noticing, 44 preservice teachers (PSTs) viewed a 360 video of an elementary mathematics lesson while wearing virtual reality headsets. PSTs writings of what they noticed and recordings of where they turned their head while wearing the headsets during the recorded scenario were examined.

Author/Presenter

Karl W. Kosko

Jennifer Heisler

Enrico Gandolfi

Lead Organization(s)
Year
2022
Short Description

Professional noticing is an essential skill for teachers that is enacted by teachers via their embodied senses (sight, sound, etc.). To better understand the nature of teacher noticing, 44 preservice teachers (PSTs) viewed a 360 video of an elementary mathematics lesson while wearing virtual reality headsets. PSTs writings of what they noticed and recordings of where they turned their head while wearing the headsets during the recorded scenario were examined. Findings suggest that how PSTs positioned students and the teacher in their field of view interacted with whether and how such events were described in writing.

Conceptualizing a Shared Definition and Future Directions for Extended Reality (XR) in Teacher Education

Scholarship on extended reality (XR) in teacher education is emerging at an increasing rate. As additional forms of XR become more common in the profession, there is a need for teacher educators to consider how the various forms of XR-based representations of practice are conceptualized. The papers in this special issue of JTATE on XR in teacher education each define XR in similar ways, but often with different terminology. In this editorial, we note how such definitions are characteristic of much of the good scholarship on XR in teacher education.

Author/Presenter

Karl W. Kosko

Richard E. Ferdig

Lionel Roche

Lead Organization(s)
Year
2021
Short Description

Scholarship on extended reality (XR) in teacher education is emerging at an increasing rate. As additional forms of XR become more common in the profession, there is a need for teacher educators to consider how the various forms of XR-based representations of practice are conceptualized. This editorial focuses on how the field may begin to consider defining XR within the boundaries of perceptual capacity—a concept that align with definitions in various other professional fields and with theory and practice in teacher education.

ReLaTe-SA: An Effort to Understand Teachers’ Reasoning Language in Algebra

The purpose of the Reasoning Language for Teaching Secondary Algebra (ReLaTe-SA) project is to understand teachers' use of reasoning language for teaching concepts and procedures in middle and high school algebra. Previous studies on algebra and algebraic reasoning have investigated other aspects, including students’ conceptions and discourse. The link between students' discourse and conceptual understanding has been explored (Chesnais & Constantin, 2020; Reinhardtsen, 2020). However, less is known about middle and high school teachers' language in the algebra classroom.

Author/Presenter

Mehmet Kirmizi

Lead Organization(s)
Year
2022
Short Description

The ReLaTe-SA project investigates the research question: what language do teachers use to describe and explain routines in algebra classes? The goal of this article is to inform readers about some ways we have learned to describe the discourse that teachers use when solving linear equations.