Pedagogy

Responsive Math Teaching (RMT) Planning and Coaching Protocol

The Responsive Math Teaching Project's (RMT) Planning and Coaching Protocol is an 18-page booklet that includes the RMT Instructional Model as well as a planning and coaching guide for each phase of the RTM instructional cycle. These guides provide questions and facilitation moves to support educators in the planning, implementing, coaching, and/or reflecting on an RMT lesson.

Author/Presenter: 
Responsive Math Teaching Project
Lead Organization(s): 
Year: 
2021
Short Description: 

The Responsive Math Teaching Project's (RMT) Planning and Coaching Protocol is an 18-page booklet that includes the RMT Instructional Model as well as a planning and coaching guide for each phase of the RTM instructional cycle.

Responsive Math Teaching (RMT) Instructional Model

The Responsive Math Teaching (RMT) Instructional Model breaks high-quality math teaching down into seven core components:

Author/Presenter: 
Responsive Math Teaching Project
Lead Organization(s): 
Year: 
2021
Short Description: 

The Responsive Math Teaching (RMT) Instructional Model breaks high-quality math teaching down into seven core components: plan, launch, facilitate productive struggle, make student thinking visible, connect to the mathematics, build and expand, and reflect.

Developing Transmedia Engineering Curricula Using Cognitive Tools to Impact Learning and the Development of STEM Identity

This paper examines the use of Imaginative Education (IE) to create an NGSS-aligned middle school engineering curriculum that supports transfer and the development of STEM identity. In IE, cognitive tools—such as developmentally appropriate narratives, mysteries and fantasies—are used to design learning environments that both engage learners and help them organize knowledge productively. We have combined IE with transmedia storytelling to develop two multi-week engineering units and six shorter engineering lessons.

Author/Presenter: 
Glenn W. Ellis
Jeremiah Pina
Rebecca Mazur
Al Rudnitsky
Beth McGinnis-Cavanaugh
Isabel Huff
Sonia Ellis
Crystal M. Ford
Kate Lytton
Kaia Claire Cormier
Year: 
2020
Short Description: 

This paper examines the use of Imaginative Education (IE) to create an NGSS-aligned middle school engineering curriculum that supports transfer and the development of STEM identity.

Resource(s): 

Teachers' Responses to Instances of Student Mathematical Thinking with Varied Potential to Support Student Learning

Teacher responses to student mathematical thinking (SMT) matter because the way in which teachers respond affects student learning. Although studies have provided important insights into the nature of teacher responses, little is known about the extent to which these responses take into account the potential of the instance of SMT to support learning. This study investigated teachers’ responses to a common set of instances of SMT with varied potential to support students’ mathematical learning, as well as the productivity of such responses.

Author/Presenter: 
Shari L. Stockero
Laura R. Van Zoest
Ben Freeburn
Blake E. Peterson
Keith R. Leatham
Year: 
2020
Short Description: 

This study investigated teachers’ responses to a common set of instances of student mathematical thinking (SMT) with varied potential to support students’ mathematical learning, as well as the productivity of such responses.

Conceptualizing Important Facets of Teacher Responses to Student Mathematical Thinking

We argue that progress in the area of research on mathematics teacher responses to student thinking could be enhanced were the field to attend more explicitly to important facets of those responses, as well as to related units of analysis. We describe the Teacher Response Coding scheme (TRC) to illustrate how such attention might play out, and then apply the TRC to an excerpt of classroom mathematics discourse to demonstrate the affordances of this approach.
Author/Presenter: 
Laura R. Van Zoest
Blake E. Peterson
Annick O. T. Rougée
Shari L. Stockero
Keith R. Leatham
Ben Freeburn
Year: 
2021
Short Description: 

We argue that progress in the area of research on mathematics teacher responses to student thinking could be enhanced were the field to attend more explicitly to important facets of those responses, as well as to related units of analysis. We describe the Teacher Response Coding scheme (TRC) to illustrate how such attention might play out, and then apply the TRC to an excerpt of classroom mathematics discourse to demonstrate the affordances of this approach. We conclude by making several further observations about the potential versatility and power in articulating units of analysis and developing and applying tools that attend to these facets when conducting research on teacher responses.

Clarifiable Ambiguity in Classroom Mathematics Discourse

Ambiguity is a natural part of communication in a mathematics classroom. In this paper, a particular subset of ambiguity is characterized as clarifiable. Clarifiable ambiguity in classroom mathematics discourse is common, frequently goes unaddressed, and unnecessarily hinders in-the-moment communication because it likely could be made more clear in a relatively straightforward way if it were attended to. We argue for deliberate attention to clarifiable ambiguity as a critical aspect of attending to meaning and as a necessary precursor to productive use of student mathematical thinking.

Author/Presenter: 
Blake E. Peterson
Keith R. Leatham
Lindsay M. Merrill
Laura R. Van Zoest
Shari L. Stockero
Year: 
2020
Short Description: 

Ambiguity is a natural part of communication in a mathematics classroom. In this paper, a particular subset of ambiguity is characterized as clarifiable. Clarifiable ambiguity in classroom mathematics discourse is common, frequently goes unaddressed, and unnecessarily hinders in-the-moment communication because it likely could be made more clear in a relatively straightforward way if it were attended to. We argue for deliberate attention to clarifiable ambiguity as a critical aspect of attending to meaning and as a necessary precursor to productive use of student mathematical thinking.

“Teaching Them How to Fish”: Learning to Learn and Teach Responsively

The Responsive Math Teaching (RMT) project’s 3-year model for professional development introduces teachers to a new instructional model through a full year of monthly Math Circles, where they experience problem solving and productive struggle from the student perspective while working through challenging open-ended tasks, engaging in mathematical discussions, and reflecting on the process. This paper examines teachers’ views of what they learned from this experience and how it affected both their instructional practices and their visions of mathematics teaching and learning.
Author/Presenter: 
Caroline B. Ebby
Brittany Hess
Lizzy Pecora
Jennifer Valerio
Lead Organization(s): 
Year: 
2021
Short Description: 

The Responsive Math Teaching (RMT) project’s 3-year model for professional development introduces teachers to a new instructional model through a full year of monthly Math Circles, where they experience problem solving and productive struggle from the student perspective while working through challenging open-ended tasks, engaging in mathematical discussions, and reflecting on the process. This paper examines teachers’ views of what they learned from this experience and how it affected both their instructional practices and their visions of mathematics teaching and learning.

Design, Development, and Initial Testing of Asset-Based Intervention Grounded in Trajectories of Student Fraction Learning

One of the most relentless areas of difficulty in mathematics for children with learning disabilities (LDs) and difficulties is fractions. We report the development and initial testing of an intervention designed to increase access to and advancement in conceptual understanding. Our asset-based theory of change—a tested and confirmed learning trajectory of fraction concepts of students with LDs grounded in student-centered instruction—served as the basis for our multistage scientific design process.

Author/Presenter: 
Jessica H. Hunt
Kristi Martin
Andy Khounmeuang
Juanita Silva
Blain Patterson
Jasmine Welch-Ptak
Year: 
2020
Short Description: 

One of the most relentless areas of difficulty in mathematics for children with learning disabilities (LDs) and difficulties is fractions. This article reports the development and initial testing of an intervention designed to increase access to and advancement in conceptual understanding.

Using Authentic Video Clips of Classroom Instruction to Capture Teachers’ Moment-to-Moment Perceiving as Knowledge-Filtered Noticing

In this article, we report on the development of a novel, video-based measure of teachers’ moment-to-moment noticing as knowledge-filtered perception. We developed items to capture teachers’ perception of similarity of their own teaching to the teaching shown in three short video clips of authentic classroom instruction. We describe the item design and relate teachers’ moment-to-moment noticing to their reflective noticing as measured by judgements of similarity teachers provided after viewing each video.

Author/Presenter: 
Nicole B. Kersting
James E. Smith
Beau Vezino
Lead Organization(s): 
Year: 
2021
Short Description: 

This article reports on the development of a novel, video-based measure of teachers’ moment-to-moment noticing as knowledge-filtered perception.

Different Ways to Implement Innovative Teaching Approaches at Scale

Maass, K., Cobb, P., Krainer, K., & Potari, D. (2019). Different ways to implement innovative teaching approaches at scale. Educational Studies in Mathematics, 102, 303-318.

Author/Presenter: 
Katja Maass
Paul Cobb
Konrad Krainer
Despina Potari
Lead Organization(s): 
Year: 
2019
Short Description: 

This article discusses the implementation of innovative teaching approaches in mathematics.

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