Teacher Practice

Mathematics Teachers’ Interpretations of Students’ Perceptions of the Classroom Learning Environment: Opportunities for Inquiry

Research on mathematics teacher professional learning indicates that careful analysis of evidence of students’ reasoning and participation can prompt generative inquiry into instruction. Evidence of students’ own perceptions of instruction is noticeably absent in the literature. This absence is consequential, given the well-documented finding that mathematics teachers’ instructional decisions are shaped by assumptions they make about their students. Guided by an interpretive perspective on teaching and the literature on mathematics teachers’ professional learning, this study explores U.S.

Author/Presenter

Kara Jackson

Hannah J. Nieman

Daniela DiGiacomo

Fabio Campos

Nicholas Kochmanski

Lead Organization(s)
Year
2025
Short Description

Guided by an interpretive perspective on teaching and the literature on mathematics teachers’ professional learning, this study explores U.S. middle-grades mathematics teachers’ interpretations of evidence of students’ perceptions of key aspects of the mathematics classroom environment.

Beyond Technical Fixes: Reconsidering Equity Sticks and Expanding Notions of Equitable Teaching

We explore how a professional development program enabled educators to stretch their ideas related to (a) equitable participation in elementary mathematics classrooms, and (b) their district's policy aimed at promoting equitable participation. Our analysis revealed that participants’ views shifted as they engaged with others’ sense-making, grounded in their observation of mathematics instruction as it unfolded in real time, about equity and the distribution of opportunities to learn.

Author/Presenter

Simona Goldin

Darrius D. Robinson

Meghan Shaughnessy

Nicole M. Garcia

Merrie Blunk

D’Anna Pynes

Jillian P. Mortimer

Year
2025
Short Description

We explore how a professional development program enabled educators to stretch their ideas related to equitable participation in elementary mathematics classrooms, and their district's policy aimed at promoting equitable participation.

Asset-based Computational Thinking in Early Childhood Classrooms: Centering Students’ Expertise in a Community of Learners

Computational thinking (CT) is central to computer science, yet there is a gap in the literature on the best ways to implement CT in early childhood classrooms. The purpose of this qualitative study was to explore how early childhood teachers enacted asset-based pedagogies while implementing CT in their classrooms. We followed a group of 28 early childhood educators who began with a summer institute and then participated in multiple professional learning activities over one year.

Author/Presenter

Lori Czop Assaf

Sean Justice

Lead Organization(s)
Year
2024
Short Description

Computational thinking CT is central to computer science, yet there is a gap in the literature on the best ways to implement CT in early childhood classrooms. The purpose of this qualitative study was to explore how early childhood teachers enacted asset-based pedagogies while implementing CT in their classrooms.

Supporting Multilingual Students’ Mathematical Discourse Through Teacher Professional Development Grounded in Design-based Research: A Conceptual Framework

This conceptual paper presents a framework for supporting multilingual students’ mathematical discourse through teacher professional development grounded in design-based research (DBR). Drawing on sociocultural learning theory, the Integrated Language and Mathematics Project (ILMP) was co-developed with elementary educators to promote integrated instruction that simultaneously advances students’ mathematical understanding, language development, and cultural identity.

Author/Presenter

Margarita Jiménez-Silva

Robin Martin

Rachel Restani

Suzanne Abdelrahim

Tony Albano

Year
2025
Short Description

This conceptual paper presents a framework for supporting multilingual students’ mathematical discourse through teacher professional development grounded in design-based research (DBR). Drawing on sociocultural learning theory, the Integrated Language and Mathematics Project (ILMP) was co-developed with elementary educators to promote integrated instruction that simultaneously advances students’ mathematical understanding, language development, and cultural identity. The ILMP framework centers around three instructional pillars: attention to language, attention to mathematical thinking, and cultural responsiveness. Through collaborative inquiry cycles, educators engaged as learners, contributors, and designers of practice, iteratively enacting and reflecting on instructional strategies rooted in students’ linguistic and cultural assets.

Discursive Differences in Written Feedback of Individuals with Varied Teaching Experiences: Towards Validating Knowledge of Content and Teaching Specific to Proof

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.

Author/Presenter

Orly Buchbinder

Rebecca Butler

Sharon McCrone

Lead Organization(s)
Year
2025
Short Description

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. This study examined the qualitative differences in written feedback of secondary teachers, undergraduate mathematics and computer science majors, and pre-service teachers participating in a capstone course focused on mathematical reasoning and proving.

Connecting Expertise in Noticing Children’s Mathematical Thinking and Conducting Whole-Class Discussions

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.

Author/Presenter

Victoria R. Jacobs

Susan B. Empson

Year
2025
Short Description

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. This study provides insight into the importance of expertise in teacher noticing for whole-class discussions while also illustrating the mathematical and pedagogical richness of the details of children’s mathematical thinking.

Culturally Responsive Mathematics Engagement Through a Family-Inspired Mathematizing Routine

There is a need for research on effective classroom strategies available for teachers that promote equitable school-family collaborations. Such effective strategies are needed in general but also specifically in the area of content, skill acquisition, and positive dispositions in early mathematics. This exploratory qualitative study looked at a mathematical routine, focused on family-provided photos and artifacts, that elicited children’s mathematical and general observations and inquiries and engaged families in mathematical communications.

Author/Presenter

Jennifer M. Suh

Stephanie C. Calabrese

Lead Organization(s)
Year
2025
Short Description

There is a need for research on effective classroom strategies available for teachers that promote equitable school-family collaborations. Such effective strategies are needed in general but also specifically in the area of content, skill acquisition, and positive dispositions in early mathematics. This exploratory qualitative study looked at a mathematical routine, focused on family-provided photos and artifacts, that elicited children’s mathematical and general observations and inquiries and engaged families in mathematical communications.

Culturally Responsive Mathematics Engagement Through a Family-Inspired Mathematizing Routine

There is a need for research on effective classroom strategies available for teachers that promote equitable school-family collaborations. Such effective strategies are needed in general but also specifically in the area of content, skill acquisition, and positive dispositions in early mathematics. This exploratory qualitative study looked at a mathematical routine, focused on family-provided photos and artifacts, that elicited children’s mathematical and general observations and inquiries and engaged families in mathematical communications.

Author/Presenter

Jennifer M. Suh

Stephanie C. Calabrese

Lead Organization(s)
Year
2025
Short Description

There is a need for research on effective classroom strategies available for teachers that promote equitable school-family collaborations. Such effective strategies are needed in general but also specifically in the area of content, skill acquisition, and positive dispositions in early mathematics. This exploratory qualitative study looked at a mathematical routine, focused on family-provided photos and artifacts, that elicited children’s mathematical and general observations and inquiries and engaged families in mathematical communications.

Culturally Responsive Mathematics Engagement Through a Family-Inspired Mathematizing Routine

There is a need for research on effective classroom strategies available for teachers that promote equitable school-family collaborations. Such effective strategies are needed in general but also specifically in the area of content, skill acquisition, and positive dispositions in early mathematics. This exploratory qualitative study looked at a mathematical routine, focused on family-provided photos and artifacts, that elicited children’s mathematical and general observations and inquiries and engaged families in mathematical communications.

Author/Presenter

Jennifer M. Suh

Stephanie C. Calabrese

Lead Organization(s)
Year
2025
Short Description

There is a need for research on effective classroom strategies available for teachers that promote equitable school-family collaborations. Such effective strategies are needed in general but also specifically in the area of content, skill acquisition, and positive dispositions in early mathematics. This exploratory qualitative study looked at a mathematical routine, focused on family-provided photos and artifacts, that elicited children’s mathematical and general observations and inquiries and engaged families in mathematical communications.

Culturally Responsive Mathematics Engagement Through a Family-Inspired Mathematizing Routine

There is a need for research on effective classroom strategies available for teachers that promote equitable school-family collaborations. Such effective strategies are needed in general but also specifically in the area of content, skill acquisition, and positive dispositions in early mathematics. This exploratory qualitative study looked at a mathematical routine, focused on family-provided photos and artifacts, that elicited children’s mathematical and general observations and inquiries and engaged families in mathematical communications.

Author/Presenter

Jennifer M. Suh

Stephanie C. Calabrese

Lead Organization(s)
Year
2025
Short Description

There is a need for research on effective classroom strategies available for teachers that promote equitable school-family collaborations. Such effective strategies are needed in general but also specifically in the area of content, skill acquisition, and positive dispositions in early mathematics. This exploratory qualitative study looked at a mathematical routine, focused on family-provided photos and artifacts, that elicited children’s mathematical and general observations and inquiries and engaged families in mathematical communications.