Mathematics

Characteristics of Mathematics Coaches’ Suggestions to Teachers

We developed an analytic framework related to the suggestions coaches provided to mathematics teachers as they engaged in content-focused coaching cycles. We analyzed 712 suggestions from nine coaches and 58 coaching conversations. Analysis focused on what the suggestion entailed and how suggestions were made. Most suggestions focused on revising or adding a task feature or asking questions to advance students’ thinking. Most suggestions were not contingent on what happened during the lesson and were specific and clear about content and timing, especially when focused on lesson design.

Author/Presenter

Julie M. Amador

Ryan Gillespie

Jeffrey Choppin

Cynthia D. Carson

Year
2023
Short Description

We developed an analytic framework related to the suggestions coaches provided to mathematics teachers as they engaged in content-focused coaching cycles. We analyzed 712 suggestions from nine coaches and 58 coaching conversations. Analysis focused on what the suggestion entailed and how suggestions were made.

Understanding the Cognitive Processes of Mathematical Problem Posing: Evidence from Eye Movements

This study concerns the cognitive process of mathematical problem posing, conceptualized in three stages: understanding the task, constructing the problem, and expressing the problem. We used the eye tracker and think-aloud methods to deeply explore students’ behavior in these three stages of problem posing, especially focusing on investigating the influence of task situation format and mathematical maturity on students’ thinking.

Author/Presenter

Ling Zhang

Naiqing Song

Guowei Wu

Jinfa Cai

Lead Organization(s)
Year
2023
Short Description

This study concerns the cognitive process of mathematical problem posing, conceptualized in three stages: understanding the task, constructing the problem, and expressing the problem. We used the eye tracker and think-aloud methods to deeply explore students’ behavior in these three stages of problem posing, especially focusing on investigating the influence of task situation format and mathematical maturity on students’ thinking.

Intersections of Teacher Noticing and Culturally Sustaining Pedagogy: A Conceptual Framework to Inform the Design of Teacher Learning

Teacher noticing scholars are just beginning to explore how to support noticing that is responsive to students' cultural resources. The theoretical basis of the teacher noticing literature affords scholars a range of paths for understanding student resources, only some of which are described in the literature. In this article, we offer a conceptual model showing how the theoretical roots related to teacher noticing and responsive teaching (N/RT) are closely aligned with theories foundational to culturally sustaining pedagogy (CSP).

Author/Presenter

Melissa J. Luna

Malayna Bernstein

Janet D. K. Walkoe

Lead Organization(s)
Year
2023
Short Description

Teacher noticing scholars are just beginning to explore how to support noticing that is responsive to students' cultural resources. The theoretical basis of the teacher noticing literature affords scholars a range of paths for understanding student resources, only some of which are described in the literature. In this article, we offer a conceptual model showing how the theoretical roots related to teacher noticing and responsive teaching (N/RT) are closely aligned with theories foundational to culturally sustaining pedagogy (CSP).

Comparing How College Mathematics Instructors and High-School Teachers Recognize Professional Obligations of Mathematics Teaching when Making Instructional Decisions

This paper investigates how mathematics instructors' recognition of the professional obligations of mathematics teaching varies based on their institutional environment, specifically whether they teach high school or college mathematics. Using an instrument that measures instructors’ recognition of four hypothesized professional obligations, we surveyed 471 US high school mathematics teachers and 239 university mathematics instructors to measure the extent to which they recognized professional obligations when evaluating the appropriateness of certain instructional actions.

Author/Presenter

Inah Ko

Patricio Herbst

Mollee Shultz 

Lead Organization(s)
Year
2023
Short Description

This paper investigates how mathematics instructors' recognition of the professional obligations of mathematics teaching varies based on their institutional environment, specifically whether they teach high school or college mathematics.