Mathematics

Validity Evidence of the Use of Quantitative Measures of Students in Elementary Mathematics Education

Quantitative measures in mathematics education have informed policies and practices for over a century. Thus, it is critical that such measures in mathematics education have sufficient validity evidence to improve mathematics experiences for students. This article provides a systematic review of the validity evidence related to measures used in elementary mathematics education. The review includes measures that focus on elementary students as the unit of analyses and attends to validity as defined by current conceptions of measurement.

Author/Presenter

Marsha Ing

Karl W. Kosko

Cindy Jong

Jeffrey C. Shih

Year
2024
Short Description

This article provides a systematic review of the validity evidence related to measures used in elementary mathematics education. The review includes measures that focus on elementary students as the unit of analyses and attends to validity as defined by current conceptions of measurement.

Validity Evidence of the Use of Quantitative Measures of Students in Elementary Mathematics Education

Quantitative measures in mathematics education have informed policies and practices for over a century. Thus, it is critical that such measures in mathematics education have sufficient validity evidence to improve mathematics experiences for students. This article provides a systematic review of the validity evidence related to measures used in elementary mathematics education. The review includes measures that focus on elementary students as the unit of analyses and attends to validity as defined by current conceptions of measurement.

Author/Presenter

Marsha Ing

Karl W. Kosko

Cindy Jong

Jeffrey C. Shih

Year
2024
Short Description

This article provides a systematic review of the validity evidence related to measures used in elementary mathematics education. The review includes measures that focus on elementary students as the unit of analyses and attends to validity as defined by current conceptions of measurement.

Demands, Tensions, and Resources When Implementing Ambitious Mathematics

In this article, we explore demands and tensions involved when schools implement ambitious mathematics teaching (AMT). Following a description of a framework that distinguishes between internal and external demands, we characterize the tension between these in terms of alignment, balance, and buffering, which collectively speak to coherence. We then describe AMT and how it represents a departure from traditional mathematics instruction found in most countries.

Author/Presenter

Jeffrey Choppin

Christine Green

William Zahner

Year
2024
Short Description

In this article, we explore demands and tensions involved when schools implement ambitious mathematics teaching (AMT).

Parents and Teachers Collaborating to Disrupt Asymmetrical Power Positions in Mathematics Education

This paper describes an innovative mathematics learning partnership that engages teachers and parents of multilingual children ages 7–10 from schools in underserved communities. At the center of this transformative work is the use of two complementary approaches to advancing equity in education– funds of knowledge and positioning theory. While both theories have been applied in mathematics education, they have not been integrated in a parent-teacher partnership program aimed at enhancing collaboration between multilingual families and teachers.

Author/Presenter

Beatriz Quintos

Erin Turner

Marta Civil

Year
2024
Short Description

This paper describes an innovative mathematics learning partnership that engages teachers and parents of multilingual children ages 7–10 from schools in underserved communities. At the center of this transformative work is the use of two complementary approaches to advancing equity in education– funds of knowledge and positioning theory. While both theories have been applied in mathematics education, they have not been integrated in a parent-teacher partnership program aimed at enhancing collaboration between multilingual families and teachers.

Parents and Teachers Collaborating to Disrupt Asymmetrical Power Positions in Mathematics Education

This paper describes an innovative mathematics learning partnership that engages teachers and parents of multilingual children ages 7–10 from schools in underserved communities. At the center of this transformative work is the use of two complementary approaches to advancing equity in education– funds of knowledge and positioning theory. While both theories have been applied in mathematics education, they have not been integrated in a parent-teacher partnership program aimed at enhancing collaboration between multilingual families and teachers.

Author/Presenter

Beatriz Quintos

Erin Turner

Marta Civil

Year
2024
Short Description

This paper describes an innovative mathematics learning partnership that engages teachers and parents of multilingual children ages 7–10 from schools in underserved communities. At the center of this transformative work is the use of two complementary approaches to advancing equity in education– funds of knowledge and positioning theory. While both theories have been applied in mathematics education, they have not been integrated in a parent-teacher partnership program aimed at enhancing collaboration between multilingual families and teachers.

Parents and Teachers Collaborating to Disrupt Asymmetrical Power Positions in Mathematics Education

This paper describes an innovative mathematics learning partnership that engages teachers and parents of multilingual children ages 7–10 from schools in underserved communities. At the center of this transformative work is the use of two complementary approaches to advancing equity in education– funds of knowledge and positioning theory. While both theories have been applied in mathematics education, they have not been integrated in a parent-teacher partnership program aimed at enhancing collaboration between multilingual families and teachers.

Author/Presenter

Beatriz Quintos

Erin Turner

Marta Civil

Year
2024
Short Description

This paper describes an innovative mathematics learning partnership that engages teachers and parents of multilingual children ages 7–10 from schools in underserved communities. At the center of this transformative work is the use of two complementary approaches to advancing equity in education– funds of knowledge and positioning theory. While both theories have been applied in mathematics education, they have not been integrated in a parent-teacher partnership program aimed at enhancing collaboration between multilingual families and teachers.

Accountable Assessment

There is widespread agreement about the importance of accounting for the extent to which educational systems advance student learning. Yet, the forms and formats of accountable assessments often ill serve students and teachers; the summative judgements of student performance that are typically employed to indicate proficiencies on benchmarks of student learning commonly fail to capture student performance in ways that are specific and actionable for teachers. Timing is another key barrier to the utility of summative assessment.

Author/Presenter

Richard Lehrer

Lead Organization(s)
Year
2021
Short Description

The author describes an innovative approach to assessment that aims to blend the productive characteristics of both summative and formative assessment. The resulting assessment system is accountable to students and teachers by providing actionable information for improving classroom instruction, and at the same time, it addresses the demands of psychometric quality for purposes of system accountability as it is currently practiced (in the US).

Using Fitbits and Heart Rate Variance (HRVa) to Understand Preservice Teacher Experiences in Extended Reality

Extended reality (XR) is increasingly used to support preservice and inservice teacher training. Its use in teacher education has shown promise in improving future educators’ engagement, self-confidence, and noticing skills. Despite this evidence, the field lacks innovative measures to assess outcomes such as those offered through biometric data collection. This article addresses this gap by presenting the findings of a study involving 18 PSTs, who watched a 360 video of an elementary classroom while their heart rate data was gathered.

Author/Presenter

Richard Ferdig

Karl Kosko

Enrico Gandolfi

Lead Organization(s)
Year
2023
Short Description

Extended reality (XR) is increasingly used to support preservice and inservice teacher training. Its use in teacher education has shown promise in improving future educators’ engagement, self-confidence, and noticing skills. Despite this evidence, the field lacks innovative measures to assess outcomes such as those offered through biometric data collection. This article addresses this gap by presenting the findings of a study involving 18 PSTs, who watched a 360 video of an elementary classroom while their heart rate data was gathered.

Gaze Analysis System for Immersive 360 Video for Preservice Teacher Education

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Author/Presenter
Chris Lenart

Pegah Ahadian

Yuxin Yang

Simon Suo

Ashton Corsello

Karl Kosko

Qiang Guan

Lead Organization(s)
Year
2023
Short Description

Unified systems for multi-sensor devices, particularly eye-tracking in Virtual Reality (VR), are intricate and often require the listening and streaming of multichannel data. In this project, we propose a visual analysis framework for replicating a participant's viewing involvement by interpreting head movements as rotations and point-of-gaze (POG) as on-screen indicators.

Exploring the Relationships Between Teacher Noticing, Ambisonic Audio, and Variance in Focus When Viewing 360 Video

A growing body of research has supported the implementation of innovative and immersive video for teaching and learning across the lifespan. Immersive video, delivered through eXtended Reality (XR) tools like 360 video, provides users with new ways to see real or created environments. Unfortunately, most of the existing research has highlighted immersive video without accompanying immersive audio. This use of monophonic audio can create a disconnect for viewers as they experience close to real world video with sounds that do not match a real-world environment.

Author/Presenter

Richard E. Ferdig

Karl W. Kosko

Enrico Gandolfi 

Lead Organization(s)
Year
2023
Short Description

A growing body of research has supported the implementation of innovative and immersive video for teaching and learning across the lifespan. Immersive video, delivered through eXtended Reality (XR) tools like 360 video, provides users with new ways to see real or created environments. Unfortunately, most of the existing research has highlighted immersive video without accompanying immersive audio. The purpose of this study was to respond to this gap in the literature by exploring the use of ambisonic audio and its impact on preservice teacher noticing and variability of viewing focus when watching 360 video.