High

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.

Articulating the Student Mathematics in Student Contributions

We draw on our experiences researching teachers’ use of student thinking to theoretically unpack the work of attending to student contributions in order to articulate the student mathematics (SM) of those contribution.

Author/Presenter

Laura R. Van Zoest

Shari L. Stockero

Keith R. Leatham

Blake E. Peterson

Joshua M. Ruk

Year
2020
Short Description

We draw on our experiences researching teachers’ use of student thinking to theoretically unpack the work of attending to student contributions in order to articulate the student mathematics (SM) of those contribution.

Articulating the Student Mathematics in Student Contributions

We draw on our experiences researching teachers’ use of student thinking to theoretically unpack the work of attending to student contributions in order to articulate the student mathematics (SM) of those contribution.

Author/Presenter

Laura R. Van Zoest

Shari L. Stockero

Keith R. Leatham

Blake E. Peterson

Joshua M. Ruk

Year
2020
Short Description

We draw on our experiences researching teachers’ use of student thinking to theoretically unpack the work of attending to student contributions in order to articulate the student mathematics (SM) of those contribution.

Articulating the Student Mathematics in Student Contributions

We draw on our experiences researching teachers’ use of student thinking to theoretically unpack the work of attending to student contributions in order to articulate the student mathematics (SM) of those contribution.

Author/Presenter

Laura R. Van Zoest

Shari L. Stockero

Keith R. Leatham

Blake E. Peterson

Joshua M. Ruk

Year
2020
Short Description

We draw on our experiences researching teachers’ use of student thinking to theoretically unpack the work of attending to student contributions in order to articulate the student mathematics (SM) of those contribution.

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

Think Alouds: Informing Scholarship and Broadening Partnerships through Assessment

Think alouds are valuable tools for academicians, test developers, and practitioners as they provide a unique window into a respondent’s thinking during an assessment. The purpose of this special issue is to highlight novel ways to use think alouds as a means to gather evidence about respondents’ thinking. An intended outcome from this special issue is that readers may better understand think alouds and feel better equipped to use them in practical and research settings.

Author/Presenter

Jonathan David Bostic

Lead Organization(s)
Year
2021
Short Description

Introduction to special issue focusing on think alouds and response process evidence. This work cuts across STEM education scholarship and introduces readers to robust means to engage in think alouds.