Mathematics

Equity-Focused, Rubric-based Coaching: An Incremental Improvement Approach to Supporting Teachers to Shift Toward More Equitable Mathematics Instruction

Historically, inequities in mathematics education have resulted in mathematics classrooms that do not support all students, and particularly students from marginalized backgrounds. Efforts to transform mathematics classrooms to be culturally responsive, sustaining, and justice-oriented have met limited success at scale. It may be that supporting teachers to develop more equitable teaching practices would benefit from a more incremental improvement approach.

Author/Presenter

Erica Litke

Jonee Wilson

Heather C. Hill

Year
2025
Short Description

This article considers how school-based mathematics coaches can support teachers to make incremental shifts toward more equitable instruction. We describe a coaching model designed to include elements of incremental improvement, in which coaches and teachers analyze video against a set of rubrics that delineate equitable teaching practices.

An Analysis of Unexpected Responses in Middle School Students’ Mathematical Problem Posing from the Perspective of Problem-Posing Processes

Using data from a problem-posing project, this study analyzed the characteristics of middle school students’ responses to problem-posing prompts that did not match our assumptions and expectations to better understand student thinking.

Author/Presenter

Hua Ran

Jinfa Cai

Faith Muirhead

Stephen Hwang

Lead Organization(s)
Year
2025
Short Description

Using data from a problem-posing project, this study analyzed the characteristics of middle school students’ responses to problem-posing prompts that did not match our assumptions and expectations to better understand student thinking. The study found that the characteristics of middle school students’ unexpected responses were distributed across three different problem-posing processes: 1) orientation responses related to different interpretations of the problem-posing prompt or situation accounted for the majority; 2) connection responses related to making connections among pieces of information accounted for the second most common type; and 3) generation responses related to generation of problems only accounted for a very small proportion.

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).