Mathematics

Methodological Advancements for Analyzing Teachers’ Learning in a Community of Practice

Professional development that privileges teachers’ voice, equity, and the investigation of high-quality instruction is essential to the mathematics education community. However, more research is needed to understand the process, content, and depth of teachers’ learning in this setting. This paper shares our analytic method designed to capture such learning. We integrate three complementary perspectives: Communities of Practice (theoretical framework), Teaching for Robust Understanding (conceptual framework), and Frame Analysis (analytical framework).

Author/Presenter

Helene Leonard

Victoria Bonaccorso

Joseph DiNapoli

Eileen Murray

Lead Organization(s)
Year
2021
Short Description

Professional development that privileges teachers’ voice, equity, and the investigation of high-quality instruction is essential to the mathematics education community. However, more research is needed to understand the process, content, and depth of teachers’ learning in this setting. This paper shares our analytic method designed to capture such learning. We integrate three complementary perspectives: Communities of Practice (theoretical framework), Teaching for Robust Understanding (conceptual framework), and Frame Analysis (analytical framework).

Using Interviews to Identify the Resources of Multilingual High School Students

The resources that multilingual students bring to school mathematics are often ignored. During a teacher-researcher collaborative project focused on creating more equitable learning environments in high school math classrooms, we noted an initial tendency to focus on the challenges and barriers facing multilingual students. To counter this tendency, we worked with two teachers to engage in a structured teacher-student interview to identify and highlight secondary multilingual students’ home and community resources.

Author/Presenter

Megan D’Errico

William Zahner

Year
2021
Short Description

The resources that multilingual students bring to school mathematics are often ignored. During a teacher-researcher collaborative project focused on creating more equitable learning environments in high school math classrooms, we noted an initial tendency to focus on the challenges and barriers facing multilingual students. To counter this tendency, we worked with two teachers to engage in a structured teacher-student interview to identify and highlight secondary multilingual students’ home and community resources. We adapted a module from TeachMath to guide the activity and facilitated surveys, debriefs and teacher-research conversations to unpack this experience.

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.

Extractive and Inferential Discourses for Equation Solving

We investigate the algebraic discourse of secondary mathematics teachers with respect to the topic of equation solving by analyzing five teachers’ responses to open-ended items on a questionnaire that asks respondents to analyze hypothetical student work related to equation solving and explain related concepts.

Author/Presenter

Cody L. Patterson

Elizabeth Wrightsman

Mehmet Kirmizi

Rebecca McGraw

Lead Organization(s)
Year
2021
Short Description

We investigate the algebraic discourse of secondary mathematics teachers with respect to the topic of equation solving by analyzing five teachers’ responses to open-ended items on a questionnaire that asks respondents to analyze hypothetical student work related to equation solving and explain related concepts.

We Strive: Initial Explorations of STEM Teachers' Successes and Challenges in Implementing Socioscientific Issues

This study explores two teachers participating in professional development workshops implementing SocioScientific Issues (SSI) into STEM classrooms. Two research questions were investigated: (a) To what extent did teachers implement SSI into their lesson plans and (b) In what ways did lessons change from the beginning of the workshop?

Author/Presenter

Joseph Johnson

Augusto Macalalag

Becky Mathers-Lowery

Gabrielle Ialacci

Year
2022
Short Description

This study explores two teachers participating in professional development workshops implementing SocioScientific Issues (SSI) into STEM classrooms. Two research questions were investigated: (a) To what extent did teachers implement SSI into their lesson plans and (b) In what ways did lessons change from the beginning of the workshop?

We Strive: Initial Explorations of STEM Teachers' Successes and Challenges in Implementing Socioscientific Issues

This study explores two teachers participating in professional development workshops implementing SocioScientific Issues (SSI) into STEM classrooms. Two research questions were investigated: (a) To what extent did teachers implement SSI into their lesson plans and (b) In what ways did lessons change from the beginning of the workshop?

Author/Presenter

Joseph Johnson

Augusto Macalalag

Becky Mathers-Lowery

Gabrielle Ialacci

Year
2022
Short Description

This study explores two teachers participating in professional development workshops implementing SocioScientific Issues (SSI) into STEM classrooms. Two research questions were investigated: (a) To what extent did teachers implement SSI into their lesson plans and (b) In what ways did lessons change from the beginning of the workshop?

Designing for Mathematical Literacy: Introducing Exponential Growth Using Critical and Meaningful Problem Contexts

This department explores the concept of disciplinary literacy—the conceptual understandings and ways of reading, thinking, and writing involved in critiquing and constructing knowledge in a discipline—and its intersections with aspects of culturally sustaining pedagogy.

Author/Presenter

William Zahner

Lead Organization(s)
Year
2021
Short Description

This department explores the concept of disciplinary literacy—the conceptual understandings and ways of reading, thinking, and writing involved in critiquing and constructing knowledge in a discipline—and its intersections with aspects of culturally sustaining pedagogy.

Principles for Curriculum Design and Pedagogy in Multilingual Secondary Mathematics Classrooms

We introduce and illustrate three principles for designing secondary mathematics classrooms in which multilingual students can benefit from participating in mathematical discussions. Drawing from the Academic Literacy in Mathematics (ALM) framework (Moschkovich, 2015), we developed these principles through a four-year design research collaboration with ninth grade mathematics teachers working in a linguistically diverse urban secondary school in the southwest USA.

Author/Presenter

William Zahner

Kevin Pelaez

Ernesto Daniel Calleros

Lead Organization(s)
Year
2021
Short Description

We introduce and illustrate three principles for designing secondary mathematics classrooms in which multilingual students can benefit from participating in mathematical discussions. Drawing from the Academic Literacy in Mathematics (ALM) framework (Moschkovich, 2015), we developed these principles through a four-year design research collaboration with ninth grade mathematics teachers working in a linguistically diverse urban secondary school in the southwest USA.

Designing Learning Environments to Promote Academic Literacy in Mathematics in Multilingual Secondary Mathematics Classrooms

Emerging multilingual students can develop the dimensions of Academic Literacy in Mathematics (ALM) in classroom discussions. But, there is a need for empirically-validated principles for fostering such discussions. This research used ALM as a framework to create a unit of instruction on linear rates of change for ninth grade mathematics in which multilingual students benefit from discussions. Project-specific design principles are presented along with qualitative analysis of classroom discussions from each phase of the project.

Author/Presenter

William Zahner

Ernesto Daniel Calleros

Kevin Pelaez

Lead Organization(s)
Year
2021
Short Description

Emerging multilingual students can develop the dimensions of Academic Literacy in Mathematics (ALM) in classroom discussions. But, there is a need for empirically-validated principles for fostering such discussions. This research used ALM as a framework to create a unit of instruction on linear rates of change for ninth grade mathematics in which multilingual students benefit from discussions.