Classroom Practice

Textbooks as a Resource for Teaching Mathematics Through Problem Posing: Catalyzing Instructional Change

Research has shown that teaching mathematics through problem posing, or problem-posing based learning (P-PBL), is a student-centered instructional approach that can improve students’ cognitive and affective aspects of learning. However, since textbooks continue to include very few opportunities for problem posing, researchers have been working to support teachers to integrate problem posing into classroom instruction, drawing on textbooks as a resource.

Author/Presenter

Stephen Hwang

Jaepil Han

Faith Muirhead

Amy Brown

Matthew Melville

Jinfa Cai

Lead Organization(s)
Year
2025
Short Description

Research has shown that teaching mathematics through problem posing, or problem-posing based learning (P-PBL), is a student-centered instructional approach that can improve students’ cognitive and affective aspects of learning. However, since textbooks continue to include very few opportunities for problem posing, researchers have been working to support teachers to integrate problem posing into classroom instruction, drawing on textbooks as a resource. In this paper, we describe how teachers in the P-PBL Project have engaged in instructional change with support from researchers around a high-quality middle school mathematics textbook series.

Fostering Critical Consciousness: A Systematic Review of K-12 Teachers’ Integrations of Sociopolitical Issues in Science and Mathematics Classrooms

Efforts towards providing inclusive science and mathematics education for marginalized students are increasingly found in literature advocating for equity-oriented instruction through supporting students’ critical consciousness. Despite a growing body of research centering on teachers’ development of culturally relevant pedagogies, studies examining how teachers support students’ critical consciousness development are scarce in the context of science and mathematics education.

Author/Presenter

Sheila K. Castro

Julie C. Brown

Kent J. Crippen

Lead Organization(s)
Year
2025
Short Description

Efforts towards providing inclusive science and mathematics education for marginalized students are increasingly found in literature advocating for equity-oriented instruction through supporting students’ critical consciousness. Despite a growing body of research centering on teachers’ development of culturally relevant pedagogies, studies examining how teachers support students’ critical consciousness development are scarce in the context of science and mathematics education. Thus, this systematic review uses empirical literature on critical consciousness to explore teachers’ experiences integrating sociopolitical issues into their science and mathematics classrooms.

Noticing in the Midst of Building on a Critical Event

Research on teachers’ noticing of student mathematical thinking has typically focused on how a teacher attends to, interprets, and determines a response to an individual student contribution in isolation from the broader mathematical classroom context. This research focus is not nuanced enough, however, to fully account for the complex noticing required of a teacher engaged in responsive teaching. To support teachers in enacting responsive teaching, it is important to have a way to distinguish high-leverage student contributions from among the many contributions available to a teacher.

Author/Presenter

Shari L. Stockero

Laura R. Van Zoest

Keith R. Leatham

Blake E. Peterson

Year
2025
Short Description

Research on teachers’ noticing of student mathematical thinking has typically focused on how a teacher attends to, interprets, and determines a response to an individual student contribution in isolation from the broader mathematical classroom context. This research focus is not nuanced enough, however, to fully account for the complex noticing required of a teacher engaged in responsive teaching. To support teachers in enacting responsive teaching, it is important to have a way to distinguish high-leverage student contributions from among the many contributions available to a teacher. We draw on a previously developed framework to help teachers identify such contributions, those referred to as a mathematically significant pedagogical opportunity to build on student thinking (MOST).

Noticing in the Midst of Building on a Critical Event

Research on teachers’ noticing of student mathematical thinking has typically focused on how a teacher attends to, interprets, and determines a response to an individual student contribution in isolation from the broader mathematical classroom context. This research focus is not nuanced enough, however, to fully account for the complex noticing required of a teacher engaged in responsive teaching. To support teachers in enacting responsive teaching, it is important to have a way to distinguish high-leverage student contributions from among the many contributions available to a teacher.

Author/Presenter

Shari L. Stockero

Laura R. Van Zoest

Keith R. Leatham

Blake E. Peterson

Year
2025
Short Description

Research on teachers’ noticing of student mathematical thinking has typically focused on how a teacher attends to, interprets, and determines a response to an individual student contribution in isolation from the broader mathematical classroom context. This research focus is not nuanced enough, however, to fully account for the complex noticing required of a teacher engaged in responsive teaching. To support teachers in enacting responsive teaching, it is important to have a way to distinguish high-leverage student contributions from among the many contributions available to a teacher. We draw on a previously developed framework to help teachers identify such contributions, those referred to as a mathematically significant pedagogical opportunity to build on student thinking (MOST).

Noticing in the Midst of Building on a Critical Event

Research on teachers’ noticing of student mathematical thinking has typically focused on how a teacher attends to, interprets, and determines a response to an individual student contribution in isolation from the broader mathematical classroom context. This research focus is not nuanced enough, however, to fully account for the complex noticing required of a teacher engaged in responsive teaching. To support teachers in enacting responsive teaching, it is important to have a way to distinguish high-leverage student contributions from among the many contributions available to a teacher.

Author/Presenter

Shari L. Stockero

Laura R. Van Zoest

Keith R. Leatham

Blake E. Peterson

Year
2025
Short Description

Research on teachers’ noticing of student mathematical thinking has typically focused on how a teacher attends to, interprets, and determines a response to an individual student contribution in isolation from the broader mathematical classroom context. This research focus is not nuanced enough, however, to fully account for the complex noticing required of a teacher engaged in responsive teaching. To support teachers in enacting responsive teaching, it is important to have a way to distinguish high-leverage student contributions from among the many contributions available to a teacher. We draw on a previously developed framework to help teachers identify such contributions, those referred to as a mathematically significant pedagogical opportunity to build on student thinking (MOST).

Exploring the Attending and Interpretation of Three Science and Engineering Practices Among Secondary Science Teachers

This study explored secondary science teachers’ attending and interpretation of three science and engineering practices (SEPs) occurring in a classroom setting. This data were further examined to see if teaching experience and disciplinary area influenced the secondary science teachers attending and interpretation of the SEPs. The data collection process involved having teachers talk about the science instruction they viewed in short videos.

Author/Presenter

Yuxi Huang

Julie A. Luft

Hong H. Tran

Joseph J. Deluca

José M. Pavez

Brooke A. Whitworth

Year
2025
Short Description

This study explored secondary science teachers’ attending and interpretation of three science and engineering practices (SEPs) occurring in a classroom setting. This data were further examined to see if teaching experience and disciplinary area influenced the secondary science teachers attending and interpretation of the SEPs.

Facilitating Student Argumentation Around Socioscientific Issues Through Productive Discourse and Negotiation Toward Consensus

Controversial topics that arise in science classrooms, especially those of social relevance (e.g., the climate crisis), provide opportunities to help students learn about and discuss contradictory ideas they may encounter in their everyday experiences. Such topics may also be challenging to teach, but scaffolding may facilitate effective instruction. We describe one type of instructional scaffolding, the Model-Evidence Link (MEL) activity, that supports students’ reasoning when evaluating connections between lines of evidence and competing explanations about phenomena.

Author/Presenter

Donna Governor

Carla McAuliffe

Lorraine Ramirez Villarin

Timothy G. Klavon

Julianne E. van Meerten

Drea Rachel

Sanlyn Buxner

Janelle M. Bailey

Doug Lombardi

Lead Organization(s)
Year
2025
Short Description

Controversial topics that arise in science classrooms, especially those of social relevance (e.g., the climate crisis), provide opportunities to help students learn about and discuss contradictory ideas they may encounter in their everyday experiences. Such topics may also be challenging to teach, but scaffolding may facilitate effective instruction. We describe one type of instructional scaffolding, the Model-Evidence Link (MEL) activity, that supports students’ reasoning when evaluating connections between lines of evidence and competing explanations about phenomena.

Facilitating Student Argumentation Around Socioscientific Issues Through Productive Discourse and Negotiation Toward Consensus

Controversial topics that arise in science classrooms, especially those of social relevance (e.g., the climate crisis), provide opportunities to help students learn about and discuss contradictory ideas they may encounter in their everyday experiences. Such topics may also be challenging to teach, but scaffolding may facilitate effective instruction. We describe one type of instructional scaffolding, the Model-Evidence Link (MEL) activity, that supports students’ reasoning when evaluating connections between lines of evidence and competing explanations about phenomena.

Author/Presenter

Donna Governor

Carla McAuliffe

Lorraine Ramirez Villarin

Timothy G. Klavon

Julianne E. van Meerten

Drea Rachel

Sanlyn Buxner

Janelle M. Bailey

Doug Lombardi

Lead Organization(s)
Year
2025
Short Description

Controversial topics that arise in science classrooms, especially those of social relevance (e.g., the climate crisis), provide opportunities to help students learn about and discuss contradictory ideas they may encounter in their everyday experiences. Such topics may also be challenging to teach, but scaffolding may facilitate effective instruction. We describe one type of instructional scaffolding, the Model-Evidence Link (MEL) activity, that supports students’ reasoning when evaluating connections between lines of evidence and competing explanations about phenomena.

Facilitating Student Argumentation Around Socioscientific Issues Through Productive Discourse and Negotiation Toward Consensus

Controversial topics that arise in science classrooms, especially those of social relevance (e.g., the climate crisis), provide opportunities to help students learn about and discuss contradictory ideas they may encounter in their everyday experiences. Such topics may also be challenging to teach, but scaffolding may facilitate effective instruction. We describe one type of instructional scaffolding, the Model-Evidence Link (MEL) activity, that supports students’ reasoning when evaluating connections between lines of evidence and competing explanations about phenomena.

Author/Presenter

Donna Governor

Carla McAuliffe

Lorraine Ramirez Villarin

Timothy G. Klavon

Julianne E. van Meerten

Drea Rachel

Sanlyn Buxner

Janelle M. Bailey

Doug Lombardi

Lead Organization(s)
Year
2025
Short Description

Controversial topics that arise in science classrooms, especially those of social relevance (e.g., the climate crisis), provide opportunities to help students learn about and discuss contradictory ideas they may encounter in their everyday experiences. Such topics may also be challenging to teach, but scaffolding may facilitate effective instruction. We describe one type of instructional scaffolding, the Model-Evidence Link (MEL) activity, that supports students’ reasoning when evaluating connections between lines of evidence and competing explanations about phenomena.

Facilitating Student Argumentation Around Socioscientific Issues Through Productive Discourse and Negotiation Toward Consensus

Controversial topics that arise in science classrooms, especially those of social relevance (e.g., the climate crisis), provide opportunities to help students learn about and discuss contradictory ideas they may encounter in their everyday experiences. Such topics may also be challenging to teach, but scaffolding may facilitate effective instruction. We describe one type of instructional scaffolding, the Model-Evidence Link (MEL) activity, that supports students’ reasoning when evaluating connections between lines of evidence and competing explanations about phenomena.

Author/Presenter

Donna Governor

Carla McAuliffe

Lorraine Ramirez Villarin

Timothy G. Klavon

Julianne E. van Meerten

Drea Rachel

Sanlyn Buxner

Janelle M. Bailey

Doug Lombardi

Lead Organization(s)
Year
2025
Short Description

Controversial topics that arise in science classrooms, especially those of social relevance (e.g., the climate crisis), provide opportunities to help students learn about and discuss contradictory ideas they may encounter in their everyday experiences. Such topics may also be challenging to teach, but scaffolding may facilitate effective instruction. We describe one type of instructional scaffolding, the Model-Evidence Link (MEL) activity, that supports students’ reasoning when evaluating connections between lines of evidence and competing explanations about phenomena.