Teacher Practice

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.

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.

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.

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.

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.

Visualizing Chemistry Teachers’ Enacted Assessment Design Practices to Better Understand Barriers to “Best Practices”

Even when chemistry teachers’ beliefs about assessment design align with literature-cited best practices, barriers can prevent teachers from enacting those beliefs when developing day-to-day assessments. In this paper, the relationship between high school chemistry teachers’ self-generated “best practices” for developing formative assessments and the assessments they implement in their courses are examined.

Author/Presenter

Adam G. L. Schafer

Victoria M. Borlanda

Ellen J. Yezierski

Lead Organization(s)
Year
2021
Short Description

In this paper, the relationship between high school chemistry teachers’ self-generated “best practices” for developing formative assessments and the assessments they implement in their courses are examined.

Investigating How Assessment Design Guides High School Chemistry Teachers’ Interpretation of Student Responses to a Planned, Formative Assessment

High school chemistry teachers will often establish goals that guide assessment design and interpretation of assessment results. However, little is known about how these goals and the assessment design collectively guide the interpretation of results. This study seeks to better understand what teachers notice when interpreting assessment results and how the design of the assessment may influence teachers’ patterns of noticing.

Author/Presenter

Adam G. L. Schafer

Ellen J. Yezierski

Lead Organization(s)
Year
2021
Short Description

This study seeks to better understand what teachers notice when interpreting assessment results and how the design of the assessment may influence teachers’ patterns of noticing. The study described herein investigates high school chemistry teachers’ interpretations of student responses to formative assessment items by identifying patterns in what teachers notice.

Investigating High School Chemistry Teachers’ Assessment Item Generation Processes for a Solubility Lab

Designing high school chemistry assessments is a complex and difficult task. Although prior studies about assessment have offered teachers guidelines and standards as support to generate quality assessment items, little is known about how teachers engage these supports or enact their own beliefs into practice while developing assessments. Presented in this paper are the results from analyzing discourse among five high school chemistry teachers during an assessment item generation activity, including assessment items produced throughout the activity.

Author/Presenter

Adam G. L. Schafer

Ellen J. Yezierski

Lead Organization(s)
Year
2021
Short Description

Designing high school chemistry assessments is a complex and difficult task. Although prior studies about assessment have offered teachers guidelines and standards as support to generate quality assessment items, little is known about how teachers engage these supports or enact their own beliefs into practice while developing assessments. Presented in this paper are the results from analyzing discourse among five high school chemistry teachers during an assessment item generation activity, including assessment items produced throughout the activity

“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.