Research

NCTM Presentation Line of "Good" Fit in Grade 8 Classrooms

Lead Organization(s)
Year
2018
Short Description

This presntation addreses 4 research cquestions

 

What extant criteria do Grade 8 students use to choose the better line
of fit between two lines “fit” to a set of data, when both lines express
the trend of the data?
 
Is a residual criterion accessible and useful to Grade 8 students when
learning about line of fit?
 
How does introducing a residual criterion impact student
understanding of line of fit and their understanding mathematical
modeling process?
 
What stages of learning do students express as they engage in our
lesson?

Decomposing Practice in Teacher Professional Development: Examining Sequences of Learning Activities

In this paper, we analyze a PD design, examining its activities and the sequencing of professional learning tasks. We use a theoretical framework typically used in pre-service teacher education to understand the design of one PD program. Our overarching goal is to theorize about how to design PD and sequence professional learning tasks for practicing teachers.

Author/Presenter

Paola Sztajn

Daniel J. Heck

Kristen A. Malzahn

Lara K. Dick

Year
2020
Short Description

In this paper, authors analyze a PD design, examining its activities and the sequencing of professional learning tasks.

Teachers Collaborating in Communities of Mathematics Immersion

Beyond initial college preparation, secondary teachers in the United States have few professional opportunities to do and learn challenging mathematics, especially incollaboration with colleagues. The Mathematics Immersion for Secondary Teachers at Scale program engages sets of teachers in local school sites, connected synchronously and asynchronously to colleagues in other sites, in doing mathematics designed to promote experiences of mathematical immersion, community, and connection to the work of teaching.

Author/Presenter

Daniel J. Heck

Pippa Hoover

Evelyn M. Gordon

Matthew McLeod

Lead Organization(s)
Year
2020
Short Description

The Mathematics Immersion for Secondary Teachers at Scale program engages sets of teachers in local school sites, connected synchronously and asynchronously to colleagues in other sites, in doing mathematics designed to promote experiences of mathematical immersion, community, and connection to the work of teaching. This study of two groups of sites over one year examines fidelity to the program as a model for systematically providing these opportunities, and the extent to which teacher participants experienced immersion, community, and connection in their collaborative work with the course facilitator and their local and distant colleagues.

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)

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)

Integrating a Statistical Topic Model and a Diagnostic Classification Model for Analyzing Items in a Mixed Format Assessment

Selected response items and constructed response (CR) items are often found in the same test. Conventional psychometric models for these two types of items typically focus on using the scores for correctness of the responses. Recent research suggests, however, that more information may be available from the CR items than just scores for correctness. In this study, we describe an approach in which a statistical topic model along with a diagnostic classification model (DCM) was applied to a mixed item format formative test of English and Language Arts.

Author/Presenter

H.-J. Choi

Seohyun Kim

Allan S. Cohen

Jonathan Templin

Yasemin Copur-Gencturk

Year
2021
Short Description

Selected response items and constructed response (CR) items are often found in the same test. Conventional psychometric models for these two types of items typically focus on using the scores for correctness of the responses. Recent research suggests, however, that more information may be available from the CR items than just scores for correctness. In this study, we describe an approach in which a statistical topic model along with a diagnostic classification model (DCM) was applied to a mixed item format formative test of English and Language Arts.

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.

Gathering Response Process Data for a Problem-Solving Measure through Whole-Class Think Alouds

Response process validity evidence provides a window into a respondent’s cognitive processing. The purpose of this study is to describe a new data collection tool called a whole-class think aloud (WCTA). This work is performed as part of test development for a series of problem-solving measures to be used in elementary and middle grades. Data from third-grade students were collected in a 1–1 think-aloud setting and compared to data from similar students as part of WCTAs. Findings indicated that students performed similarly on the items when the two think-aloud settings were compared.

Author/Presenter

Jonathan David Bostic

Toni A. Sondergeld

Gabriel Matney

Gregory Stone

Tiara Hicks

Lead Organization(s)
Year
2021
Short Description

This is a description of a new methodological tool to gather response process validity evidence. The context is scholarship within mathematics education contexts.

Gathering Response Process Data for a Problem-Solving Measure through Whole-Class Think Alouds

Response process validity evidence provides a window into a respondent’s cognitive processing. The purpose of this study is to describe a new data collection tool called a whole-class think aloud (WCTA). This work is performed as part of test development for a series of problem-solving measures to be used in elementary and middle grades. Data from third-grade students were collected in a 1–1 think-aloud setting and compared to data from similar students as part of WCTAs. Findings indicated that students performed similarly on the items when the two think-aloud settings were compared.

Author/Presenter

Jonathan David Bostic

Toni A. Sondergeld

Gabriel Matney

Gregory Stone

Tiara Hicks

Lead Organization(s)
Year
2021
Short Description

This is a description of a new methodological tool to gather response process validity evidence. The context is scholarship within mathematics education contexts.

“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.