Systems Reform

Developing a Visual Model to Represent the Implementation of an Ambitious Mathematics Program

We describe the development of a visual model to represent the implementation of an ambitious mathematics program, which serves as an example of a complex educational reform. Visual models can be both conceptual and empirical, representing aspirational and theoretical perspectives while simultaneously incorporating empirical details specific to the context. Integrating conceptual and empirical aspects leads to tensions in managing the complexity of the model. Our process began with a simple model that guided our empirical work, which involved qualitative analysis.

Author/Presenter

Jeffrey Choppin

Saliha Al

Junnan Li

Charles E. Wilkes II

Ernesto Daniel Calleros

Lead Organization(s)
Year
2025
Short Description

We describe the development of a visual model to represent the implementation of an ambitious mathematics program, which serves as an example of a complex educational reform.

Visualizing a Vision for High-Quality, Equitable Math Instruction

In this article, we overview a professional learning task that involves drawing one’s vision for high-quality, equitable mathematics instruction (HQEMI). The task is part of the ongoing work of a statewide research practice partnership that supports a shared vision of mathematics across the state K–12 system. Our work of HQEMI is rooted in the development of Munter’s (2014) four dimensions for visions of high-quality mathematics instruction (VHQMI): the role of the teacher, classroom discourse, mathematical tasks, and student engagement.

Author/Presenter

Katherine Baker

Catherine S. Schwartz

Ashley N. Whitehead

Olufunke Adefope

Lead Organization(s)
Year
2025
Short Description

In this article, we overview a professional learning task that involves drawing one’s vision for high-quality, equitable mathematics instruction (HQEMI). The task is part of the ongoing work of a statewide research practice partnership that supports a shared vision of mathematics across the state K–12 system. Our work of HQEMI is rooted in the development of Munter’s (2014) four dimensions for visions of high-quality mathematics instruction (VHQMI): the role of the teacher, classroom discourse, mathematical tasks, and student engagement. The first three dimensions are particularly useful in the work of the drawing task. In this article, we share an overview of the drawing task, its implementation with educators, and sample drawings, detailing how personal drawings were made visible across participants and the conversations resulting from viewing and reflecting on one another’s drawings.

Visualizing a Vision for High-Quality, Equitable Math Instruction

In this article, we overview a professional learning task that involves drawing one’s vision for high-quality, equitable mathematics instruction (HQEMI). The task is part of the ongoing work of a statewide research practice partnership that supports a shared vision of mathematics across the state K–12 system. Our work of HQEMI is rooted in the development of Munter’s (2014) four dimensions for visions of high-quality mathematics instruction (VHQMI): the role of the teacher, classroom discourse, mathematical tasks, and student engagement.

Author/Presenter

Katherine Baker

Catherine S. Schwartz

Ashley N. Whitehead

Olufunke Adefope

Lead Organization(s)
Year
2025
Short Description

In this article, we overview a professional learning task that involves drawing one’s vision for high-quality, equitable mathematics instruction (HQEMI). The task is part of the ongoing work of a statewide research practice partnership that supports a shared vision of mathematics across the state K–12 system. Our work of HQEMI is rooted in the development of Munter’s (2014) four dimensions for visions of high-quality mathematics instruction (VHQMI): the role of the teacher, classroom discourse, mathematical tasks, and student engagement. The first three dimensions are particularly useful in the work of the drawing task. In this article, we share an overview of the drawing task, its implementation with educators, and sample drawings, detailing how personal drawings were made visible across participants and the conversations resulting from viewing and reflecting on one another’s drawings.

Visualizing a Vision for High-Quality, Equitable Math Instruction

In this article, we overview a professional learning task that involves drawing one’s vision for high-quality, equitable mathematics instruction (HQEMI). The task is part of the ongoing work of a statewide research practice partnership that supports a shared vision of mathematics across the state K–12 system. Our work of HQEMI is rooted in the development of Munter’s (2014) four dimensions for visions of high-quality mathematics instruction (VHQMI): the role of the teacher, classroom discourse, mathematical tasks, and student engagement.

Author/Presenter

Katherine Baker

Catherine S. Schwartz

Ashley N. Whitehead

Olufunke Adefope

Lead Organization(s)
Year
2025
Short Description

In this article, we overview a professional learning task that involves drawing one’s vision for high-quality, equitable mathematics instruction (HQEMI). The task is part of the ongoing work of a statewide research practice partnership that supports a shared vision of mathematics across the state K–12 system. Our work of HQEMI is rooted in the development of Munter’s (2014) four dimensions for visions of high-quality mathematics instruction (VHQMI): the role of the teacher, classroom discourse, mathematical tasks, and student engagement. The first three dimensions are particularly useful in the work of the drawing task. In this article, we share an overview of the drawing task, its implementation with educators, and sample drawings, detailing how personal drawings were made visible across participants and the conversations resulting from viewing and reflecting on one another’s drawings.

Visualizing a Vision for High-Quality, Equitable Math Instruction

In this article, we overview a professional learning task that involves drawing one’s vision for high-quality, equitable mathematics instruction (HQEMI). The task is part of the ongoing work of a statewide research practice partnership that supports a shared vision of mathematics across the state K–12 system. Our work of HQEMI is rooted in the development of Munter’s (2014) four dimensions for visions of high-quality mathematics instruction (VHQMI): the role of the teacher, classroom discourse, mathematical tasks, and student engagement.

Author/Presenter

Katherine Baker

Catherine S. Schwartz

Ashley N. Whitehead

Olufunke Adefope

Lead Organization(s)
Year
2025
Short Description

In this article, we overview a professional learning task that involves drawing one’s vision for high-quality, equitable mathematics instruction (HQEMI). The task is part of the ongoing work of a statewide research practice partnership that supports a shared vision of mathematics across the state K–12 system. Our work of HQEMI is rooted in the development of Munter’s (2014) four dimensions for visions of high-quality mathematics instruction (VHQMI): the role of the teacher, classroom discourse, mathematical tasks, and student engagement. The first three dimensions are particularly useful in the work of the drawing task. In this article, we share an overview of the drawing task, its implementation with educators, and sample drawings, detailing how personal drawings were made visible across participants and the conversations resulting from viewing and reflecting on one another’s drawings.

Demands, Tensions, and Resources When Implementing Ambitious Mathematics

In this article, we explore demands and tensions involved when schools implement ambitious mathematics teaching (AMT). Following a description of a framework that distinguishes between internal and external demands, we characterize the tension between these in terms of alignment, balance, and buffering, which collectively speak to coherence. We then describe AMT and how it represents a departure from traditional mathematics instruction found in most countries.

Author/Presenter

Jeffrey Choppin

Christine Green

William Zahner

Year
2024
Short Description

In this article, we explore demands and tensions involved when schools implement ambitious mathematics teaching (AMT).

Promoting Students’ Informal Inferential Reasoning Through Arts-Integrated Data Literacy Education

Purpose

Author/Presenter

Camillia Matuk

Ralph Vacca

Anna Amato

Megan Silander

Kayla DesPortes

Peter J. Woods

Marian Tes

Year
2023
Short Description

Arts-integration is a promising approach to building students’ abilities to create and critique arguments with data, also known as informal inferential reasoning (IIR). However, differences in disciplinary practices and routines, as well as school organization and culture, can pose barriers to subject integration. The purpose of this study is to describe synergies and tensions between data science and the arts, and how these can create or constrain opportunities for learners to engage in IIR.

Promoting Students’ Informal Inferential Reasoning Through Arts-Integrated Data Literacy Education

Purpose

Author/Presenter

Camillia Matuk

Ralph Vacca

Anna Amato

Megan Silander

Kayla DesPortes

Peter J. Woods

Marian Tes

Year
2023
Short Description

Arts-integration is a promising approach to building students’ abilities to create and critique arguments with data, also known as informal inferential reasoning (IIR). However, differences in disciplinary practices and routines, as well as school organization and culture, can pose barriers to subject integration. The purpose of this study is to describe synergies and tensions between data science and the arts, and how these can create or constrain opportunities for learners to engage in IIR.

Promoting Students’ Informal Inferential Reasoning Through Arts-Integrated Data Literacy Education

Purpose

Author/Presenter

Camillia Matuk

Ralph Vacca

Anna Amato

Megan Silander

Kayla DesPortes

Peter J. Woods

Marian Tes

Year
2023
Short Description

Arts-integration is a promising approach to building students’ abilities to create and critique arguments with data, also known as informal inferential reasoning (IIR). However, differences in disciplinary practices and routines, as well as school organization and culture, can pose barriers to subject integration. The purpose of this study is to describe synergies and tensions between data science and the arts, and how these can create or constrain opportunities for learners to engage in IIR.

Policy Translation in Assemblage: Networked Actors Mediating Science Teachers’ Policy Play

Educational policies exist as part of complex systems of many policies, all of which science teachers must make sense before using in practice. Using Actor-Network Theory to view policy translation in assemblages, we examine how networked actors mediate teachers’ policy play. Drawing on ethnographic methods and post-structural analytic tools, we identified four mediating actors: espoused practices, learning events, administrator relationships, and communities of practice.

Author/Presenter

Kathryn M. Bateman

Scott McDonald

Year
2023
Short Description

Educational policies exist as part of complex systems of many policies, all of which science teachers must make sense before using in practice. Using Actor-Network Theory to view policy translation in assemblages, we examine how networked actors mediate teachers’ policy play.