Teacher Practice

Validating the Use of Student-Level Instruments to Examine Preservice Teachers' Mathematical Problem Solving

Problem solving is a central focus of mathematics teaching and learning. If teachers are expected to support students' problem-solving development, then it reasons that teachers should also be able to solve problems aligned to grade level content standards. The purpose of this validation study is twofold: (1) to present evidence supporting the use of the Problem Solving Measures Grades 3–5 with preservice teachers (PSTs), and (2) to examine PSTs' abilities to solve problems aligned to grades 3–5 academic content standards.

Author/Presenter

Timothy D. Folger

Maria Stewart

Jonathan Bostic

Toni A. May

Year
2022
Short Description

Problem solving is a central focus of mathematics teaching and learning. If teachers are expected to support students' problem-solving development, then it reasons that teachers should also be able to solve problems aligned to grade level content standards. The purpose of this validation study is twofold: (1) to present evidence supporting the use of the Problem Solving Measures Grades 3–5 with preservice teachers (PSTs), and (2) to examine PSTs' abilities to solve problems aligned to grades 3–5 academic content standards.

Validating the Use of Student-Level Instruments to Examine Preservice Teachers' Mathematical Problem Solving

Problem solving is a central focus of mathematics teaching and learning. If teachers are expected to support students' problem-solving development, then it reasons that teachers should also be able to solve problems aligned to grade level content standards. The purpose of this validation study is twofold: (1) to present evidence supporting the use of the Problem Solving Measures Grades 3–5 with preservice teachers (PSTs), and (2) to examine PSTs' abilities to solve problems aligned to grades 3–5 academic content standards.

Author/Presenter

Timothy D. Folger

Maria Stewart

Jonathan Bostic

Toni A. May

Year
2022
Short Description

Problem solving is a central focus of mathematics teaching and learning. If teachers are expected to support students' problem-solving development, then it reasons that teachers should also be able to solve problems aligned to grade level content standards. The purpose of this validation study is twofold: (1) to present evidence supporting the use of the Problem Solving Measures Grades 3–5 with preservice teachers (PSTs), and (2) to examine PSTs' abilities to solve problems aligned to grades 3–5 academic content standards.

Profiles of Teachers’ Expertise in Professional Noticing of Children’s Mathematical Thinking

This study contributes to the growing body of research that highlights the usefulness of professional noticing of children’s mathematical thinking for understanding the complexity and variability in teaching expertise. We explored the noticing expertise of 72 upper elementary school teachers engaged in multi-year professional development focused on children’s fraction thinking.

Author/Presenter

Victoria R. Jacobs

Susan B. Empson

Naomi A. Jessup

Amy Dunning

D’Anna Pynes

Gladys Krause

Todd M. Franke

Year
2022
Short Description

This study contributes to the growing body of research that highlights the usefulness of professional noticing of children’s mathematical thinking for understanding the complexity and variability in teaching expertise. We explored the noticing expertise of 72 upper elementary school teachers engaged in multi-year professional development focused on children’s fraction thinking. Our assessment addressed the three component skills of professional noticing of children’s mathematical thinking: (a) attending to children’s strategy details, (b) interpreting children’s understandings, and (c) deciding how to respond on the basis of children’s understandings.

Transforming Science Learning Framework: Translating an Equity Commitment into Action through Co-Design

In this study, we present a conceptual tool for guiding teachers’ principled pedagogical actions toward equitable instruction, referred to as the Transforming Science Learning (TSL) framework. The TSL framework was developed to address the challenges of enacting an ideological commitment in local contexts–promoting equity and justice through culturally relevant pedagogy (CRP) in K-12 science classrooms. TSL consists of five design principles that articulate the goals (the ‘why” of practice), instead of prescribing pedagogical activities (the “what” of practice).

Author/Presenter

Hosun Kang

Jasmine McBeath Nation

Year
2022
Short Description

In this study, we present a conceptual tool for guiding teachers’ principled pedagogical actions toward equitable instruction, referred to as the Transforming Science Learning (TSL) framework. The TSL framework was developed to address the challenges of enacting an ideological commitment in local contexts–promoting equity and justice through culturally relevant pedagogy (CRP) in K-12 science classrooms.

A Design-Based Process in Characterizing Experienced Teachers’ Formative Assessment Enactment in Science Classrooms

Formative assessment can facilitate teachers’ abilities to elicit and notice the disciplinary substance of students’ thinking and to respond based on this. Following a design-based process, we developed principled practical knowledge to create resources that might guide experienced teachers in examining their formative assessment practice and provide researchers with tools to study formative assessment enactment.

Author/Presenter

Hannah Sevian

Vesal Dini

Year
2019
Short Description

Formative assessment can facilitate teachers’ abilities to elicit and notice the disciplinary substance of students’ thinking and to respond based on this. Following a design-based process, we developed principled practical knowledge to create resources that might guide experienced teachers in examining their formative assessment practice and provide researchers with tools to study formative assessment enactment.

Investigating How Teachers' Formative Assessment Practices Change Across a Year

Teaching chemistry as a practice rather than as a mere collection of facts demands that teachers modify their practices, particularly their approach to formative assessment (FA). In this study, we investigated how teachers’ FA practices changed as a result of their participation in a professional development program designed with a Chemical Thinking perspective. Four FA portfolio chapters were collected from 19 secondary school teachers over the course of a year.

Author/Presenter

Timothy N. Abell

Hannah Sevian

Year
2021
Short Description

Teaching chemistry as a practice rather than as a mere collection of facts demands that teachers modify their practices, particularly their approach to formative assessment (FA). In this study, we investigated how teachers’ FA practices changed as a result of their participation in a professional development program designed with a Chemical Thinking perspective.

Analyzing Chemistry Teachers’ Formative Assessment Practices Using Formative Assessment Portfolio Chapters

Author/Presenter

Timothy N. Abell

Hannah Sevian

Year
2020
Short Description

The effective use of formative assessment (FA) has been demonstrated to confer positive impacts on student learning. To understand why and how FA works, it is necessary to characterize teachers’ FA practices, but because both teaching practice and learning depend on the nature of the discipline, there are disciplinary aspects to examining this. This study aimed to develop an analysis of chemistry teachers’ FA practices through the lens of the chemical thinking framework.

Teachers’ Noticing, Interpreting, and Acting on Students’ Chemical Ideas in Written Work

Formative assessment is an important component of teaching as it enables teachers to foster student learning by uncovering, interpreting, and advancing student thinking. In this work, we sought to characterize how experienced chemistry teachers notice and interpret student thinking shown in written work, and how they respond to what they learn about it. Drawing on qualitative methods from different educational fields, we analyzed data collected during focus groups of middle and high school teachers.

Author/Presenter

Stephanie A. Murray

Robert Huie

Rebecca Lewis

Scott Balicki

Michael Clinchot

Gregory Banks

Vicente Talanquer

Hannah Sevian

Year
2020
Short Description

Formative assessment is an important component of teaching as it enables teachers to foster student learning by uncovering, interpreting, and advancing student thinking. In this work, we sought to characterize how experienced chemistry teachers notice and interpret student thinking shown in written work, and how they respond to what they learn about it.

Impact of the Design of an Asynchronous Video-Based Learning Environment on Teacher Noticing and Mathematical Knowledge

In this paper, we share the design and impact of a set of two-hour online mathematics professional development modules adapted from face-to-face video-based materials. The “Video in the Middle” (VIM) modules are aligned with principles of authentic e-learning and can be combined in a variety of ways to form professional development pathways that meet the unique needs of a wide range of professional learning settings and contexts. VIM modules aim to support teacher noticing of student thinking and increase their mathematical knowledge for teaching.

Author/Presenter

Nanette Seago

Angela Knotts

Lead Organization(s)
Year
2021
Short Description

In this paper, we share the design and impact of a set of two-hour online mathematics professional development modules adapted from face-to-face video-based materials.

Resource(s)

Exploring the Viral Spread of Disease and Disinformation

The worldwide COVID-19 pandemic has highlighted the importance of mathematical models in predicting the spread of the coronavirus (Srinivas 2020; Stevens & Muyskens 2020) and assessing the effectiveness of various safety measures in reducing that spread (Li et al 2020). These models can be extremely sophisticated, drawing on the expertise of applied mathematicians, epidemiologists, public health experts, and others, but at its core, there is a notion of exponential growth that is relevant for the secondary mathematics curriculum.

Author/Presenter

Samuel Otten

Julia Bemke

Jerred Webb

Lead Organization(s)
Year
2022
Short Description

The tasks described in this chapter are intended to build connections between these real-world dangers of viral spread and some relevant topics from the secondary mathematics curriculum. We also explore a link between mathematical reasoning and media literacy—the ability to discern the commercial, ideological, or political motivations of media and the recognition that receivers negotiate the meaning of messages (Aufderheide, 1993)—so that, just as we know to take safety precautions with regard to an airborne coronavirus, we can also help our students learn to take precautions against the spread of misinformation on social media.