Professional Development

Mathematics and Science Teacher Educators' Use of Representations of Practice: A Mixed Methods Study

This study sought to explore math and science teacher educators' use of various media to represent practice within methods courses. There is little understanding of why certain media is used over other representations and the rationale for these choices. Specifically, the study focused on the prevalence and familiarity of teacher educators with comics and animations, standard videos, and 360 videos. This mixed methods study utilized a survey and interviews to ascertain math and science teacher educators' level of familiarity and perceived usefulness of representations of practice.

Author/Presenter

Christine K. Austin

Karl W. Kosko

Jennifer L. Heisler

Lead Organization(s)
Year
2023
Short Description

This study sought to explore math and science teacher educators' use of various media to represent practice within methods courses. There is little understanding of why certain media is used over other representations and the rationale for these choices. Specifically, the study focused on the prevalence and familiarity of teacher educators with comics and animations, standard videos, and 360 videos. This mixed methods study utilized a survey and interviews to ascertain math and science teacher educators' level of familiarity and perceived usefulness of representations of practice.

Strengthening Teaching in “Rural,” Indigenous-Serving Schools: Lessons from the Diné Institute for Navajo Nation Educators

This article reports on the first three years of a teacher-led professional development program on the Navajo Nation. We draw on both quantitative and qualitative data from our end-of-year surveys to highlight some of the early lessons we have gathered from the Diné Institute for Navajo Nation Educators (DINÉ).

Author/Presenter

Angelina E. Castagno

Marnita Chischilly

Darold H. Joseph

Lead Organization(s)
Year
2022
Short Description

This article reports on the first three years of a teacher-led professional development program on the Navajo Nation. We draw on both quantitative and qualitative data from our end-of-year surveys to highlight some of the early lessons we have gathered from the Diné Institute for Navajo Nation Educators (DINÉ). We highlight two guiding principles that have developed through this work, cultural responsiveness and teacher leadership, and we suggest that these guiding principles could be useful for other professional development efforts in Indigenous-serving contexts, many of which would be characterized as “rural.”

Documenting Two Emerging Sociomathematical Norms for Examining Functions in Mathematics Teachers’ Online Asynchronous Discussions

This study investigated novice mathematics teachers participating in an online teacher education course focused on covariational reasoning and understanding the behavior of functions. The analysis centered on documenting the emergence of participants’ sociomathematical norms for engaging in online asynchronous discussions. In this paper, we characterized participants’ initial mathematical discourse and documented two emergent sociomathematical norms, namely explaining why and emergent shape discourse.

Author/Presenter

Anthony Matranga

Jason Silverman

Year
2022
Short Description

This study investigated novice mathematics teachers participating in an online teacher education course focused on covariational reasoning and understanding the behavior of functions. The analysis centered on documenting the emergence of participants’ sociomathematical norms for engaging in online asynchronous discussions.

Documenting Two Emerging Sociomathematical Norms for Examining Functions in Mathematics Teachers’ Online Asynchronous Discussions

This study investigated novice mathematics teachers participating in an online teacher education course focused on covariational reasoning and understanding the behavior of functions. The analysis centered on documenting the emergence of participants’ sociomathematical norms for engaging in online asynchronous discussions. In this paper, we characterized participants’ initial mathematical discourse and documented two emergent sociomathematical norms, namely explaining why and emergent shape discourse.

Author/Presenter

Anthony Matranga

Jason Silverman

Year
2022
Short Description

This study investigated novice mathematics teachers participating in an online teacher education course focused on covariational reasoning and understanding the behavior of functions. The analysis centered on documenting the emergence of participants’ sociomathematical norms for engaging in online asynchronous discussions.

Profiles of Teachers’ Expertise in Professional Noticing of Children’s Mathematical Thinking

This study contributes to the growing body of research that highlights the usefulness of professional noticing of children’s mathematical thinking for understanding the complexity and variability in teaching expertise. We explored the noticing expertise of 72 upper elementary school teachers engaged in multi-year professional development focused on children’s fraction thinking.

Author/Presenter

Victoria R. Jacobs

Susan B. Empson

Naomi A. Jessup

Amy Dunning

D’Anna Pynes

Gladys Krause

Todd M. Franke

Year
2022
Short Description

This study contributes to the growing body of research that highlights the usefulness of professional noticing of children’s mathematical thinking for understanding the complexity and variability in teaching expertise. We explored the noticing expertise of 72 upper elementary school teachers engaged in multi-year professional development focused on children’s fraction thinking. Our assessment addressed the three component skills of professional noticing of children’s mathematical thinking: (a) attending to children’s strategy details, (b) interpreting children’s understandings, and (c) deciding how to respond on the basis of children’s understandings.

Sustaining at Scale: District Mathematics Specialists’ Adaptations to a Teacher Leadership Preparation Program

A common approach to scaling up a professional development program is for the researchers who designed the program to prepare teacher leaders to facilitate it at their schools. When researchers eventually leave, however, teacher leaders may receive less support. To ensure that teacher leaders continue receiving support, researchers can prepare district mathematics specialists to assume responsibility for preparing the teacher leaders. Little is known, however, about district mathematics specialists’ role in sustaining, and potentially adapting, professional development programs.

Author/Presenter

Michael Jarry-Shore

Victoria Delaney

Hilda Borko

Lead Organization(s)
Year
2022
Short Description

A common approach to scaling up a professional development program is for the researchers who designed the program to prepare teacher leaders to facilitate it at their schools. When researchers eventually leave, however, teacher leaders may receive less support. To ensure that teacher leaders continue receiving support, researchers can prepare district mathematics specialists to assume responsibility for preparing the teacher leaders. Little is known, however, about district mathematics specialists’ role in sustaining, and potentially adapting, professional development programs. We examined district mathematics specialists’ facilitation of an adaptive teacher leadership preparation program.

Methodological Advancements for Analyzing Teachers’ Learning in a Community of Practice

Professional development that privileges teachers’ voice, equity, and the investigation of high-quality instruction is essential to the mathematics education community. However, more research is needed to understand the process, content, and depth of teachers’ learning in this setting. This paper shares our analytic method designed to capture such learning. We integrate three complementary perspectives: Communities of Practice (theoretical framework), Teaching for Robust Understanding (conceptual framework), and Frame Analysis (analytical framework).

Author/Presenter

Helene Leonard

Victoria Bonaccorso

Joseph DiNapoli

Eileen Murray

Lead Organization(s)
Year
2021
Short Description

Professional development that privileges teachers’ voice, equity, and the investigation of high-quality instruction is essential to the mathematics education community. However, more research is needed to understand the process, content, and depth of teachers’ learning in this setting. This paper shares our analytic method designed to capture such learning. We integrate three complementary perspectives: Communities of Practice (theoretical framework), Teaching for Robust Understanding (conceptual framework), and Frame Analysis (analytical framework).

A Design-Based Process in Characterizing Experienced Teachers’ Formative Assessment Enactment in Science Classrooms

Formative assessment can facilitate teachers’ abilities to elicit and notice the disciplinary substance of students’ thinking and to respond based on this. Following a design-based process, we developed principled practical knowledge to create resources that might guide experienced teachers in examining their formative assessment practice and provide researchers with tools to study formative assessment enactment.

Author/Presenter

Hannah Sevian

Vesal Dini

Year
2019
Short Description

Formative assessment can facilitate teachers’ abilities to elicit and notice the disciplinary substance of students’ thinking and to respond based on this. Following a design-based process, we developed principled practical knowledge to create resources that might guide experienced teachers in examining their formative assessment practice and provide researchers with tools to study formative assessment enactment.

Impact of the Design of an Asynchronous Video-Based Learning Environment on Teacher Noticing and Mathematical Knowledge

In this paper, we share the design and impact of a set of two-hour online mathematics professional development modules adapted from face-to-face video-based materials. The “Video in the Middle” (VIM) modules are aligned with principles of authentic e-learning and can be combined in a variety of ways to form professional development pathways that meet the unique needs of a wide range of professional learning settings and contexts. VIM modules aim to support teacher noticing of student thinking and increase their mathematical knowledge for teaching.

Author/Presenter

Nanette Seago

Angela Knotts

Lead Organization(s)
Year
2021
Short Description

In this paper, we share the design and impact of a set of two-hour online mathematics professional development modules adapted from face-to-face video-based materials.

Resource(s)