Mathematics

Middle School Mathematics Teachers’ Proportional Reasoning and Its Relation to Their Content and Pedagogical Content Knowledge

Proportional reasoning is an important but challenging skill for students and teachers. This article, presents findings from two studies investigating whether four categories of reasoning identified by Copur-Gencturk et al. (2022, A Closer Look at Teachers’ Proportional Reasoning. International Journal of Science and Mathematics Education, 21(1), 113–129) apply to a national sample of U.S. middle school mathematics teachers (N = 1,320) and can be captured consistently by similar tasks.

Author/Presenter

Yasemin Copur-Gencturk

John Ezaki

Year
2025
Short Description

Proportional reasoning is an important but challenging skill for students and teachers. This article, presents findings from two studies investigating whether four categories of reasoning identified by Copur-Gencturk et al. apply to a national sample of U.S. middle school mathematics teachers (N = 1,320) and can be captured consistently by similar tasks.

Lifting Noticing: Critical Events That Mathematics Teacher Educators Notice During Coaching Cycles

Building on research on teacher noticing, the goal of this study was to understand what and how mathematics teacher educators notice critical events and how they make connections to consider the characteristics of distinguished coach noticing, meaning the noticing we would hope those coaching would attain to support teachers. We interviewed 29 mathematics teacher educators in two different experience groups and asked them to respond to vignettes of coach–teacher interactions.

Author/Presenter

Julie M. Amador

Ryan Gillespie

Jennifer Kruger

Adam Hanan

Jeffrey Choppin

Kenley Ritter

Year
2025
Short Description

Building on research on teacher noticing, the goal of this study was to understand what and how mathematics teacher educators notice critical events and how they make connections to consider the characteristics of distinguished coach noticing, meaning the noticing we would hope those coaching would attain to support teachers. We interviewed 29 mathematics teacher educators in two different experience groups and asked them to respond to vignettes of coach–teacher interactions.

Lifting Noticing: Critical Events That Mathematics Teacher Educators Notice During Coaching Cycles

Building on research on teacher noticing, the goal of this study was to understand what and how mathematics teacher educators notice critical events and how they make connections to consider the characteristics of distinguished coach noticing, meaning the noticing we would hope those coaching would attain to support teachers. We interviewed 29 mathematics teacher educators in two different experience groups and asked them to respond to vignettes of coach–teacher interactions.

Author/Presenter

Julie M. Amador

Ryan Gillespie

Jennifer Kruger

Adam Hanan

Jeffrey Choppin

Kenley Ritter

Year
2025
Short Description

Building on research on teacher noticing, the goal of this study was to understand what and how mathematics teacher educators notice critical events and how they make connections to consider the characteristics of distinguished coach noticing, meaning the noticing we would hope those coaching would attain to support teachers. We interviewed 29 mathematics teacher educators in two different experience groups and asked them to respond to vignettes of coach–teacher interactions.

Teacher Cultivation of Classroom Statistical Modeling Practice: A Case Study

This report characterizes forms of dialogic support that a sixth-grade teacher generated during whole-class and small-group conversations to help students develop a practice of statistical modeling. During four weeks of instruction, students constructed and revised models to account for variability and uncertainty across a variety of random processes, many of which they experienced first-hand. Data sources for the research included field notes and video recordings of classroom conversations involving the teacher.

Author/Presenter

Panchompoo (Fai) Wisittanawat

Richard Lehrer

Lead Organization(s)
Year
2024
Short Description

This report characterizes forms of dialogic support that a sixth-grade teacher generated during whole-class and small-group conversations to help students develop a practice of statistical modeling.

Productive Problem-Solving Behaviors of Students with Learning Disabilities

The purpose of this study was to explore the problem-solving behaviors of middle-school students with learning disabilities (SLD). Think-aloud interviews were performed with 20 seventh- and eighth-grade students who had learning disabilities to observe their behaviors while solving mathematical word problems (i.e., behaviors and patterns of behaviors). Themes emerged from qualitative analysis indicating that the students engaged in problem-solving behaviors, as well as common patterns of behaviors.

Author/Presenter

Emily Evans

Jonathan Bostic

Sean Yee

Lead Organization(s)
Year
2024
Short Description

The purpose of this study was to explore the problem-solving behaviors of middle-school students with learning disabilities (SLD). Think-aloud interviews were performed with 20 seventh- and eighth-grade students who had learning disabilities to observe their behaviors while solving mathematical word problems (i.e., behaviors and patterns of behaviors).

Productive Problem-Solving Behaviors of Students with Learning Disabilities

The purpose of this study was to explore the problem-solving behaviors of middle-school students with learning disabilities (SLD). Think-aloud interviews were performed with 20 seventh- and eighth-grade students who had learning disabilities to observe their behaviors while solving mathematical word problems (i.e., behaviors and patterns of behaviors). Themes emerged from qualitative analysis indicating that the students engaged in problem-solving behaviors, as well as common patterns of behaviors.

Author/Presenter

Emily Evans

Jonathan Bostic

Sean Yee

Lead Organization(s)
Year
2024
Short Description

The purpose of this study was to explore the problem-solving behaviors of middle-school students with learning disabilities (SLD). Think-aloud interviews were performed with 20 seventh- and eighth-grade students who had learning disabilities to observe their behaviors while solving mathematical word problems (i.e., behaviors and patterns of behaviors).

Productive Problem-Solving Behaviors of Students with Learning Disabilities

The purpose of this study was to explore the problem-solving behaviors of middle-school students with learning disabilities (SLD). Think-aloud interviews were performed with 20 seventh- and eighth-grade students who had learning disabilities to observe their behaviors while solving mathematical word problems (i.e., behaviors and patterns of behaviors). Themes emerged from qualitative analysis indicating that the students engaged in problem-solving behaviors, as well as common patterns of behaviors.

Author/Presenter

Emily Evans

Jonathan Bostic

Sean Yee

Lead Organization(s)
Year
2024
Short Description

The purpose of this study was to explore the problem-solving behaviors of middle-school students with learning disabilities (SLD). Think-aloud interviews were performed with 20 seventh- and eighth-grade students who had learning disabilities to observe their behaviors while solving mathematical word problems (i.e., behaviors and patterns of behaviors).

Productive Problem-Solving Behaviors of Students with Learning Disabilities

The purpose of this study was to explore the problem-solving behaviors of middle-school students with learning disabilities (SLD). Think-aloud interviews were performed with 20 seventh- and eighth-grade students who had learning disabilities to observe their behaviors while solving mathematical word problems (i.e., behaviors and patterns of behaviors). Themes emerged from qualitative analysis indicating that the students engaged in problem-solving behaviors, as well as common patterns of behaviors.

Author/Presenter

Emily Evans

Jonathan Bostic

Sean Yee

Lead Organization(s)
Year
2024
Short Description

The purpose of this study was to explore the problem-solving behaviors of middle-school students with learning disabilities (SLD). Think-aloud interviews were performed with 20 seventh- and eighth-grade students who had learning disabilities to observe their behaviors while solving mathematical word problems (i.e., behaviors and patterns of behaviors).

Facilitating Collaborative Inquiry into Practice Around Artifacts of Mathematics Teaching

Although there has been increasing attention to the importance of teacher agency in professional development, there has been little attention to what it takes to facilitate collaborative work that both centers teachers’ assets and expertise and leads to productive learning. This paper presents a framework for focused and responsive facilitation of productive discourse around instructional practice in teacher learning communities.

Author/Presenter

Caroline B. Ebby

Brittany Hess

Lizzy Pecora

Jennifer Valerio

Lead Organization(s)
Year
2024
Short Description

Although there has been increasing attention to the importance of teacher agency in professional development, there has been little attention to what it takes to facilitate collaborative work that both centers teachers’ assets and expertise and leads to productive learning. This paper presents a framework for focused and responsive facilitation of productive discourse around instructional practice in teacher learning communities.

Does Use of a Hypothetical Learning Progression Promote Learning of the Cardinal-Count Concept and Give-n Performance?

The general aim of the research was to conduct a rare test of the efficacy of hypothetical learning progressions (HLPs) and a basic assumption of basing instruction on HLPs, namely teaching each successive level is more efficacious than skipping lower levels and teaching the target level directly. The specific aim was evaluating whether counting-based cardinality concepts unfold in a stepwise manner. The research involved a pretest—delayed-posttest design with random assignment of 14 preschoolers to two conditions.

Author/Presenter

Arthur J. Baroody

Douglas H. Clements

Julie Sarama

Year
2024
Short Description

The general aim of the research was to conduct a rare test of the efficacy of hypothetical learning progressions (HLPs) and a basic assumption of basing instruction on HLPs, namely teaching each successive level is more efficacious than skipping lower levels and teaching the target level directly. The specific aim was evaluating whether counting-based cardinality concepts unfold in a stepwise manner.