Mathematics

Establishing Student Mathematical Thinking as an Object of Class Discussion

Productive use of student mathematical thinking is a critical yet incompletely understood dimension of effective teaching practice. We have previously conceptualized the teaching practice of building on student mathematical thinking and the four elements that comprise it. In this paper we begin to unpack this complex practice by looking closely at its first element, establish.

Author/Presenter

Keith R. Leatham

Laura R. Van Zoest

Ben Freeburn

Blake E. Peterson

Shari L. Stockero

Year
2021
Short Description

Productive use of student mathematical thinking is a critical yet incompletely understood dimension of effective teaching practice. We have previously conceptualized the teaching practice of building on student mathematical thinking and the four elements that comprise it. In this paper we begin to unpack this complex practice by looking closely at its first element, establish. Based on an analysis of secondary mathematics teachers’ enactments of building, we describe two critical aspects of establish—establish precision and establish an object—and the actions teachers take in association with these aspects.

Establishing Student Mathematical Thinking as an Object of Class Discussion

Productive use of student mathematical thinking is a critical yet incompletely understood dimension of effective teaching practice. We have previously conceptualized the teaching practice of building on student mathematical thinking and the four elements that comprise it. In this paper we begin to unpack this complex practice by looking closely at its first element, establish.

Author/Presenter

Keith R. Leatham

Laura R. Van Zoest

Ben Freeburn

Blake E. Peterson

Shari L. Stockero

Year
2021
Short Description

Productive use of student mathematical thinking is a critical yet incompletely understood dimension of effective teaching practice. We have previously conceptualized the teaching practice of building on student mathematical thinking and the four elements that comprise it. In this paper we begin to unpack this complex practice by looking closely at its first element, establish. Based on an analysis of secondary mathematics teachers’ enactments of building, we describe two critical aspects of establish—establish precision and establish an object—and the actions teachers take in association with these aspects.

Establishing Student Mathematical Thinking as an Object of Class Discussion

Productive use of student mathematical thinking is a critical yet incompletely understood dimension of effective teaching practice. We have previously conceptualized the teaching practice of building on student mathematical thinking and the four elements that comprise it. In this paper we begin to unpack this complex practice by looking closely at its first element, establish.

Author/Presenter

Keith R. Leatham

Laura R. Van Zoest

Ben Freeburn

Blake E. Peterson

Shari L. Stockero

Year
2021
Short Description

Productive use of student mathematical thinking is a critical yet incompletely understood dimension of effective teaching practice. We have previously conceptualized the teaching practice of building on student mathematical thinking and the four elements that comprise it. In this paper we begin to unpack this complex practice by looking closely at its first element, establish. Based on an analysis of secondary mathematics teachers’ enactments of building, we describe two critical aspects of establish—establish precision and establish an object—and the actions teachers take in association with these aspects.

Representations of Practice Used in Mathematics Methods Courses

This preliminary study explored how many representations of standard videos, animations/comics, and 360 videos are being used in mathematics methods courses to teach future teachers. Drawing on knowledge from prior studies on standard videos, this study aimed to address the gaps in literature to encompass other representations that are being utilized and obtained. Analyses show that standard videos are the primary medium being used to teach future teachers in math methods, followed by animations/comics, and then 360 videos.

Author/Presenter

Christine K. Austin

Karl W. Kosko

Lead Organization(s)
Year
2022
Short Description

This preliminary study explored how many representations of standard videos, animations/comics, and 360 videos are being used in mathematics methods courses to teach future teachers. Drawing on knowledge from prior studies on standard videos, this study aimed to address the gaps in literature to encompass other representations that are being utilized and obtained.

Situating Presence within Extended Reality for Teacher Training: Validation of the Extended Reality Presence Scale (XRPS) in Preservice Teacher Use of Immersive 360 Video

The use of video is commonplace for professional preparation in education and other fields. Research has provided evidence that the use of video in these contexts can lead to increased noticing and reflection. However, educators now have access to evolving forms of video such as 360 video. The purpose of this study was to adapt and validate an instrument for assessing immersive 360 video use in an undergraduate preservice teacher university training program.

Author/Presenter

Enrico Gandolfi

Karl W. Kosko

Richard E. Ferdig

Lead Organization(s)
Year
2021
Short Description

The purpose of this study was to adapt and validate an instrument for assessing immersive 360 video use in an undergraduate preservice teacher university training program.

Using 360-degree Video to Explore Teachers' Professional Noticing

Professional noticing is an essential skill for teachers that is enacted by teachers via their embodied senses (sight, sound, etc.). To better understand the nature of teacher noticing, 44 preservice teachers (PSTs) viewed a 360 video of an elementary mathematics lesson while wearing virtual reality headsets. PSTs writings of what they noticed and recordings of where they turned their head while wearing the headsets during the recorded scenario were examined.

Author/Presenter

Karl W. Kosko

Jennifer Heisler

Enrico Gandolfi

Lead Organization(s)
Year
2022
Short Description

Professional noticing is an essential skill for teachers that is enacted by teachers via their embodied senses (sight, sound, etc.). To better understand the nature of teacher noticing, 44 preservice teachers (PSTs) viewed a 360 video of an elementary mathematics lesson while wearing virtual reality headsets. PSTs writings of what they noticed and recordings of where they turned their head while wearing the headsets during the recorded scenario were examined. Findings suggest that how PSTs positioned students and the teacher in their field of view interacted with whether and how such events were described in writing.

Twin Skin of Raza Learners: Race, Language, and Mathematics

Through a composite counter-story from the perspective of fifth-grade Raza learners, the authors show how race and language play a role in the mathematics classroom.

Author/Presenter

Stacy R. Jones

Carlos Nicolas Gomez Marchant

Lead Organization(s)
Year
2022
Short Description

Through a composite counter-story from the perspective of fifth-grade Raza learners, the authors show how race and language play a role in the mathematics classroom.

The Curious Construct of Active Learning

The construct of active learning permeates undergraduate education in science, technology, engineering, and mathematics (STEM), but despite its prevalence, the construct means different things to different people, groups, and STEM domains. To better understand active learning, we constructed this review through an innovative interdisciplinary collaboration involving research teams from psychology and discipline-based education research (DBER).

Author/Presenter
Doug Lombardi

Thomas F. Shipley

Astronomy Team

Biology Team

Chemistry Team

Engineering Team

Geography Team

Geoscience Team

Physics Team

Lead Organization(s)
Year
2021
Short Description

The construct of active learning permeates undergraduate education in science, technology, engineering, and mathematics (STEM), but despite its prevalence, the construct means different things to different people, groups, and STEM domains. To better understand active learning, we constructed this review through an innovative interdisciplinary collaboration involving research teams from psychology and discipline-based education research (DBER). Our collaboration examined active learning from two different perspectives (i.e., psychology and DBER) and surveyed the current landscape of undergraduate STEM instructional practices related to the modes of active learning and traditional lecture.

Fourth-Grade Students' Sensemaking during Multi-step Problem Solving

The purpose of this study was to investigate fourth-grade students’ sensemaking of a word problem. Sensemaking occurs when students connect their understanding of situations with existing knowledge. We investigated students’ sensemaking through inductive task analysis of their strategies and solutions to a problem that involved determining the difference between two quantities and number of groups within the task. This analysis provided useful themes about students’ strategy use across the sensemaking domains.

Author/Presenter

Gabriel Matney

Jonathan D.Bostic

Miranda Fox

Tiara Hicks

Toni May

Greg Stone

Year
2022
Short Description

The purpose of this study was to investigate fourth-grade students’ sensemaking of a word problem. Sensemaking occurs when students connect their understanding of situations with existing knowledge. We investigated students’ sensemaking through inductive task analysis of their strategies and solutions to a problem that involved determining the difference between two quantities and number of groups within the task.

Fourth-Grade Students' Sensemaking during Multi-step Problem Solving

The purpose of this study was to investigate fourth-grade students’ sensemaking of a word problem. Sensemaking occurs when students connect their understanding of situations with existing knowledge. We investigated students’ sensemaking through inductive task analysis of their strategies and solutions to a problem that involved determining the difference between two quantities and number of groups within the task. This analysis provided useful themes about students’ strategy use across the sensemaking domains.

Author/Presenter

Gabriel Matney

Jonathan D.Bostic

Miranda Fox

Tiara Hicks

Toni May

Greg Stone

Year
2022
Short Description

The purpose of this study was to investigate fourth-grade students’ sensemaking of a word problem. Sensemaking occurs when students connect their understanding of situations with existing knowledge. We investigated students’ sensemaking through inductive task analysis of their strategies and solutions to a problem that involved determining the difference between two quantities and number of groups within the task.