Mathematics

Pandemic Learning Loss in U.S. High Schools: A National Examination of Student Experiences

As a result of the COVID-19 pandemic, schools across much of the U.S. have been closed since mid-March of 2020 and many students have been attempting to continue their education away from schools. Student experiences across the country are likely to be highly variable depending on a variety of factors at the individual, home, school, district, and state levels. This project will use two, nationally representative, existing databases of high school students to study their experiences in STEM education during the COVID-19 pandemic.

Lead Organization(s): 
Award Number: 
2030436
Funding Period: 
Fri, 05/15/2020 to Fri, 04/30/2021
Full Description: 

As a result of the COVID-19 pandemic, schools across much of the U.S. have been closed since mid-March of 2020 and many students have been attempting to continue their education away from schools. Student experiences across the country are likely to be highly variable depending on a variety of factors at the individual, home, school, district, and state levels. This project will use two, nationally representative, existing databases of high school students to study their experiences in STEM education during the COVID-19 pandemic. The study intends to ascertain whether students are taking STEM courses in high school, the nature of the changes made to the courses, and their plans for the fall. The researchers will identify the electronic learning platforms in use, and other modifications made to STEM experiences in formal and informal settings. The study is particularly interested in finding patterns of inequities for students in various demographic groups underserved in STEM and who may be most likely to be affected by a hiatus in formal education.

This study will collect data using the AmeriSpeak Teen Panel of approximately 2,000 students aged 13 to 17 and the Infinite Campus Student Information System with a sample of approximately 2.5 million high school students. The data sets allow for relevant comparisons of student experiences prior to and during the COVID-19 pandemic and offer unique perspectives with nationally representative samples of U.S. high school students. New data collection will focus on formal and informal STEM learning opportunities, engagement, STEM course taking, the nature and frequency of instruction, interactions with teachers, interest in STEM, and career aspirations. Weighted data will be analyzed using descriptive statistics and within and between district analysis will be conducted to assess group differences. Estimates of between group pandemic learning loss will be provided with attention to demographic factors.

This RAPID award is made by the DRK-12 program in the Division of Research on Learning. The Discovery Research PreK-12 program (DRK-12) seeks to significantly enhance the learning and teaching of science, technology, engineering and mathematics by preK-12 students and teachers, through the research and development of new innovations and approaches. Projects in the DRK-12 program build on fundamental research in STEM education and prior research and development efforts that provide theoretical and empirical justification for the projects.

This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.

 

 

 

 

Fostering Equitable Groupwork to Promote Conceptual Mathematics Learning

This exploratory study involves a long-term partnership between the principal investigator (PI) and a middle school teacher and her students. Two major goals of the study are to describe how students learn to collaborate with one another over time to make sense of mathematics, and how students and their teacher negotiate what constitutes equitable collaboration, with African American students' perspectives being prioritized. In this way, it adds to this body of literature by: a) prioritizing African American students?

Lead Organization(s): 
Award Number: 
2010172
Funding Period: 
Sat, 08/01/2020 to Mon, 07/31/2023
Full Description: 

When students work in small groups it can promote rich learning opportunities and teach them to collaborate in ways that are important for life and future work. Having students work in small groups, however, can also create opportunities for some students to be marginalized in implicit and explicit ways. Research on using equitable groupwork in which issues of status are consciously addressed by the teacher has shown that such work can have a positive impact on students? opportunities to learn (broadly defined as learning content but also students? developing positive mathematical identities and perspectives on what it means to know/do mathematics). Most of the work on equitable groupwork in mathematics education have had pre-determined definitions of what it means to collaborate. This exploratory study involves a long-term partnership between the principal investigator (PI) and a middle school teacher and her students. Two major goals of the study are to describe how students learn to collaborate with one another over time to make sense of mathematics, and how students and their teacher negotiate what constitutes equitable collaboration, with African American students' perspectives being prioritized. In this way, it adds to this body of literature by: a) prioritizing African American students? perspectives on collaboration from the outset; b) describing, longitudinally, how students learn to collaborate; c) documenting students' mathematics learning within the context of small groups; and d) developing a set of resources for teacher educators, teachers, and students that focus on equitable groupwork.

Using theories and methods from discursive psychology and discourse analysis, the PI of this project will collaborate with a middle grades mathematics teacher to examine equitable groupwork. The small private school enrolls mostly African American students from low income neighborhoods. The PI draws on research related to complex instruction and empirical studies on equitable groupwork and productive student interactions. The basis for the developing definition of equitable collaboration involves gathering information from students about the kinds of relationships and interactions they value, as well as drawing on asset-based and humanizing research related to African American students from mathematics education and education literatures. This information will be used to inform the partnership work as well as be used to analyze the data that will be collected. There are many novel aspects of the work, including, for example, a continual interaction between how students are interacting and the developing idea of ?equitable participation? and practices that might support that kind of participation.

The proposal includes three phases of work with the collaborating teacher to read, plan, reflect, and view videos and research cycles. In the three phases, groupworthy tasks will be developed, the teacher will use these tasks and other important aspects of complex instruction to enact the tasks, and data will be collected focused on these enactments. The work will begin with the 6th grade, then expand into additional years. The data sources will be gathered in the work with the practicing teacher (e.g., recordings of planning and reflection sessions), in the classroom enactments of the groupworthy tasks (e.g., video, audio, fieldnotes, written work), and outside of the classroom teaching time (e.g., interviews with students). The learning of mathematics involves understanding the changes that take place in how students talk about mathematics and how they collaborate over time. The PI will use particular discourse-analytic methods, including thematic analyses from systemic functional linguistics. Such strategies help to focus on the content of the discussions and how people put various ideas in relationship to one another over time. The PI will analyze the small group interactions to develop 12 vignettes that can be used to do focus group interviews with students and later be used in teacher education. These vignettes will include, for example, illustrations of equitable collaborations and variations of issues that come up (e.g, missed opportunities that might keep the interaction from being productive).

This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.

Advancing Equity and Strengthening Teaching with Elementary Mathematical Modeling (Collaborative Research: Aguirre)

Advancing Equity and Strengthening Teaching with Elementary Mathematical Modeling is a teacher PD project focused on strengthening K-5 teaching with mathematics modeling. Building on previous foundational work around mathematics modeling and equity, this project will bring together equity oriented teaching practices and mathematical modeling to design and research the impact of a blended PD program on teacher practice. The project will include video-enhanced reflection and online mentoring in addition to face-to-face components of PD.

Lead Organization(s): 
Award Number: 
2008997
Funding Period: 
Fri, 05/15/2020 to Tue, 04/30/2024
Full Description: 

Students bring many mathematical assets to the classroom from their life experiences in their cultures and communities, particularly with respect to being able to model real-world situations in their everyday lives with mathematics. Many equity-related challenges in students' communities can be understood through the use of mathematics and specifically the use of mathematical modeling (the analysis of complex real-world situations using mathematical resources and tools). Supporting teachers to make use of mathematical modeling in the elementary classroom to advance issues of equity will require targeted teacher professional development (PD). Advancing Equity and Strengthening Teaching with Elementary Mathematical Modeling is a teacher PD project focused on strengthening K-5 teaching with mathematics modeling. Building on previous foundational work around mathematics modeling and equity, this project will bring together equity oriented teaching practices and mathematical modeling to design and research the impact of a blended PD program on teacher practice. The project will include video-enhanced reflection and online mentoring in addition to face-to-face components of PD. Using five pivotal spaces for elementary mathematics modeling as a framework, the project will explore the ways in which tools and structures that support practices aligned with pivotal spaces in mathematics modeling lessons can help teachers advance equitable participation and develop student competencies in mathematics modeling. The project will engage in cycles of design-based implementation research (DBIR) to study the relationships between features of the PD and changes in teacher practice, understandings, and dispositions.

The project will deploy a blended PD model that includes face-to-face sessions, coaching, and video-based reflection. Three DBIR cycles will be undertaken, starting with case study-based design cycles, focused PD cycles facilitated by project staff, and full-scale PD cycles facilitated by teacher leaders. Sites in four states have been recruited that represent a wide range of contexts and student demographics. Six professional learning modules related to elementary math modeling will be created. The project will use the lesson observation protocol known as M2C3-Scan to assess changes in teacher practice, conduct student pre and post assessments of mathematical modeling competencies for students in grades 3-5 and formative assessments of mathematical modeling competencies for all students, and assess beliefs and confidence of teachers teaching mathematical modeling. The project team will also interview teachers, collect implementation logs, and use a teacher-annotated video reflection platform to analyze changes in classroom practice. Repeated measures analyses will be conducted on student learning data, with cycles of qualitative analyses related to understand changes in teacher practices, competencies, and beliefs.

The Discovery Research preK-12 program (DRK-12) seeks to significantly enhance the learning and teaching of science, technology, engineering and mathematics (STEM) by preK-12 students and teachers, through research and development of innovative resources, models and tools. Projects in the DRK-12 program build on fundamental research in STEM education and prior research and development efforts that provide theoretical and empirical justification for proposed projects.

This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.

Advancing Equity and Strengthening Teaching with Elementary Mathematical Modeling (Collaborative Research: Carlson)

Advancing Equity and Strengthening Teaching with Elementary Mathematical Modeling is a teacher PD project focused on strengthening K-5 teaching with mathematics modeling. Building on previous foundational work around mathematics modeling and equity, this project will bring together equity oriented teaching practices and mathematical modeling to design and research the impact of a blended PD program on teacher practice. The project will include video-enhanced reflection and online mentoring in addition to face-to-face components of PD.

Lead Organization(s): 
Award Number: 
2010202
Funding Period: 
Fri, 05/15/2020 to Tue, 04/30/2024
Full Description: 

Students bring many mathematical assets to the classroom from their life experiences in their cultures and communities, particularly with respect to being able to model real-world situations in their everyday lives with mathematics. Many equity-related challenges in students' communities can be understood through the use of mathematics and specifically the use of mathematical modeling (the analysis of complex real-world situations using mathematical resources and tools). Supporting teachers to make use of mathematical modeling in the elementary classroom to advance issues of equity will require targeted teacher professional development (PD). Advancing Equity and Strengthening Teaching with Elementary Mathematical Modeling is a teacher PD project focused on strengthening K-5 teaching with mathematics modeling. Building on previous foundational work around mathematics modeling and equity, this project will bring together equity oriented teaching practices and mathematical modeling to design and research the impact of a blended PD program on teacher practice. The project will include video-enhanced reflection and online mentoring in addition to face-to-face components of PD. Using five pivotal spaces for elementary mathematics modeling as a framework, the project will explore the ways in which tools and structures that support practices aligned with pivotal spaces in mathematics modeling lessons can help teachers advance equitable participation and develop student competencies in mathematics modeling. The project will engage in cycles of design-based implementation research (DBIR) to study the relationships between features of the PD and changes in teacher practice, understandings, and dispositions.

The project will deploy a blended PD model that includes face-to-face sessions, coaching, and video-based reflection. Three DBIR cycles will be undertaken, starting with case study-based design cycles, focused PD cycles facilitated by project staff, and full-scale PD cycles facilitated by teacher leaders. Sites in four states have been recruited that represent a wide range of contexts and student demographics. Six professional learning modules related to elementary math modeling will be created. The project will use the lesson observation protocol known as M2C3-Scan to assess changes in teacher practice, conduct student pre and post assessments of mathematical modeling competencies for students in grades 3-5 and formative assessments of mathematical modeling competencies for all students, and assess beliefs and confidence of teachers teaching mathematical modeling. The project team will also interview teachers, collect implementation logs, and use a teacher-annotated video reflection platform to analyze changes in classroom practice. Repeated measures analyses will be conducted on student learning data, with cycles of qualitative analyses related to understand changes in teacher practices, competencies, and beliefs.

The Discovery Research preK-12 program (DRK-12) seeks to significantly enhance the learning and teaching of science, technology, engineering and mathematics (STEM) by preK-12 students and teachers, through research and development of innovative resources, models and tools. Projects in the DRK-12 program build on fundamental research in STEM education and prior research and development efforts that provide theoretical and empirical justification for proposed projects.

This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.

Advancing Equity and Strengthening Teaching with Elementary Mathematical Modeling (Collaborative Research: Suh)

Advancing Equity and Strengthening Teaching with Elementary Mathematical Modeling is a teacher PD project focused on strengthening K-5 teaching with mathematics modeling. Building on previous foundational work around mathematics modeling and equity, this project will bring together equity oriented teaching practices and mathematical modeling to design and research the impact of a blended PD program on teacher practice. The project will include video-enhanced reflection and online mentoring in addition to face-to-face components of PD.

Lead Organization(s): 
Award Number: 
2010269
Funding Period: 
Fri, 05/15/2020 to Tue, 04/30/2024
Full Description: 

Students bring many mathematical assets to the classroom from their life experiences in their cultures and communities, particularly with respect to being able to model real-world situations in their everyday lives with mathematics. Many equity-related challenges in students' communities can be understood through the use of mathematics and specifically the use of mathematical modeling (the analysis of complex real-world situations using mathematical resources and tools). Supporting teachers to make use of mathematical modeling in the elementary classroom to advance issues of equity will require targeted teacher professional development (PD). Advancing Equity and Strengthening Teaching with Elementary Mathematical Modeling is a teacher PD project focused on strengthening K-5 teaching with mathematics modeling. Building on previous foundational work around mathematics modeling and equity, this project will bring together equity oriented teaching practices and mathematical modeling to design and research the impact of a blended PD program on teacher practice. The project will include video-enhanced reflection and online mentoring in addition to face-to-face components of PD. Using five pivotal spaces for elementary mathematics modeling as a framework, the project will explore the ways in which tools and structures that support practices aligned with pivotal spaces in mathematics modeling lessons can help teachers advance equitable participation and develop student competencies in mathematics modeling. The project will engage in cycles of design-based implementation research (DBIR) to study the relationships between features of the PD and changes in teacher practice, understandings, and dispositions.

The project will deploy a blended PD model that includes face-to-face sessions, coaching, and video-based reflection. Three DBIR cycles will be undertaken, starting with case study-based design cycles, focused PD cycles facilitated by project staff, and full-scale PD cycles facilitated by teacher leaders. Sites in four states have been recruited that represent a wide range of contexts and student demographics. Six professional learning modules related to elementary math modeling will be created. The project will use the lesson observation protocol known as M2C3-Scan to assess changes in teacher practice, conduct student pre and post assessments of mathematical modeling competencies for students in grades 3-5 and formative assessments of mathematical modeling competencies for all students, and assess beliefs and confidence of teachers teaching mathematical modeling. The project team will also interview teachers, collect implementation logs, and use a teacher-annotated video reflection platform to analyze changes in classroom practice. Repeated measures analyses will be conducted on student learning data, with cycles of qualitative analyses related to understand changes in teacher practices, competencies, and beliefs.

The Discovery Research preK-12 program (DRK-12) seeks to significantly enhance the learning and teaching of science, technology, engineering and mathematics (STEM) by preK-12 students and teachers, through research and development of innovative resources, models and tools. Projects in the DRK-12 program build on fundamental research in STEM education and prior research and development efforts that provide theoretical and empirical justification for proposed projects.

This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.

Advancing Equity and Strengthening Teaching with Elementary Mathematical Modeling (Collaborative Research: Turner)

Advancing Equity and Strengthening Teaching with Elementary Mathematical Modeling is a teacher PD project focused on strengthening K-5 teaching with mathematics modeling. Building on previous foundational work around mathematics modeling and equity, this project will bring together equity oriented teaching practices and mathematical modeling to design and research the impact of a blended PD program on teacher practice. The project will include video-enhanced reflection and online mentoring in addition to face-to-face components of PD.

Lead Organization(s): 
Award Number: 
2010178
Funding Period: 
Fri, 05/15/2020 to Tue, 04/30/2024
Full Description: 

Students bring many mathematical assets to the classroom from their life experiences in their cultures and communities, particularly with respect to being able to model real-world situations in their everyday lives with mathematics. Many equity-related challenges in students' communities can be understood through the use of mathematics and specifically the use of mathematical modeling (the analysis of complex real-world situations using mathematical resources and tools). Supporting teachers to make use of mathematical modeling in the elementary classroom to advance issues of equity will require targeted teacher professional development (PD). Advancing Equity and Strengthening Teaching with Elementary Mathematical Modeling is a teacher PD project focused on strengthening K-5 teaching with mathematics modeling. Building on previous foundational work around mathematics modeling and equity, this project will bring together equity oriented teaching practices and mathematical modeling to design and research the impact of a blended PD program on teacher practice. The project will include video-enhanced reflection and online mentoring in addition to face-to-face components of PD. Using five pivotal spaces for elementary mathematics modeling as a framework, the project will explore the ways in which tools and structures that support practices aligned with pivotal spaces in mathematics modeling lessons can help teachers advance equitable participation and develop student competencies in mathematics modeling. The project will engage in cycles of design-based implementation research (DBIR) to study the relationships between features of the PD and changes in teacher practice, understandings, and dispositions.

The project will deploy a blended PD model that includes face-to-face sessions, coaching, and video-based reflection. Three DBIR cycles will be undertaken, starting with case study-based design cycles, focused PD cycles facilitated by project staff, and full-scale PD cycles facilitated by teacher leaders. Sites in four states have been recruited that represent a wide range of contexts and student demographics. Six professional learning modules related to elementary math modeling will be created. The project will use the lesson observation protocol known as M2C3-Scan to assess changes in teacher practice, conduct student pre and post assessments of mathematical modeling competencies for students in grades 3-5 and formative assessments of mathematical modeling competencies for all students, and assess beliefs and confidence of teachers teaching mathematical modeling. The project team will also interview teachers, collect implementation logs, and use a teacher-annotated video reflection platform to analyze changes in classroom practice. Repeated measures analyses will be conducted on student learning data, with cycles of qualitative analyses related to understand changes in teacher practices, competencies, and beliefs.

The Discovery Research preK-12 program (DRK-12) seeks to significantly enhance the learning and teaching of science, technology, engineering and mathematics (STEM) by preK-12 students and teachers, through research and development of innovative resources, models and tools. Projects in the DRK-12 program build on fundamental research in STEM education and prior research and development efforts that provide theoretical and empirical justification for proposed projects.

This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.

Leveraging Simulations in Preservice Preparation to Improve Mathematics Teaching for Students with Disabilities (Collaborative Research: Cohen)

This project aims to support the mathematics learning of students with disabilities through the development and use of mixed reality simulations for elementary mathematics teacher preparation. These simulations represent low-stakes opportunities for preservice teachers to practice research-based instructional strategies to support mathematics learning, and to receive feedback on their practices.

Lead Organization(s): 
Partner Organization(s): 
Award Number: 
2009939
Funding Period: 
Fri, 05/01/2020 to Tue, 04/30/2024
Full Description: 

The preparation of general education teachers to support the mathematics learning of students with disabilities is critical, as students with disabilities are overrepresented in the lower ranks of mathematics achievement. This project aims to address this need in the context of elementary mathematics teacher preparation through the development and use of mixed reality simulations. These simulations represent low-stakes opportunities for preservice teachers to practice research-based instructional strategies to support mathematics learning, and to receive feedback on their practices. Learning units that use the simulations will focus on two high leverage practices: teacher modeling of self-monitoring and reflection strategies during problem solving and using strategy instruction to teach students to support problem solving. These high-leverage teaching practices will support teachers engaging all students, including students with disabilities, in conceptually sophisticated mathematics in which students are treated as sense-makers and empowered to do mathematics in culturally meaningful ways.

The project work encompasses three primary aims. The first aim is to develop a consensus around shared definitions of high-leverage practices across the mathematics education and special education communities. To accomplish this goal, the project will convene a series of consensus-building panels with mathematics education and special education experts to develop shared definitions of the two targeted high leverage practices. This work will include engaging with current research, group discussion, and production of documents with specifications for the practices. The second aim is to develop learning units for elementary mathematics methods courses grounded in mixed reality simulation. These simulations will allow teacher candidates to enact the high leverage practices with simulated students and to receive coaching on their practice from the research team. The impact of this work will be assessed through the analysis of interviews with teacher educators implementing the units and observations and artifacts from the implementations. The third aim will be to assess the effectiveness of the simulations on teacher candidates? practices and beliefs through small-scaled randomized control trials. Teacher candidates will be randomly assigned to conditions that address the practices and make use of simulations, and a business as usual condition focused on lesson planning, student assessment, and small group discussions of the high leverage practices. The impact of the work will be assessed through the analysis of baseline and exit simulations, measures of teacher self-efficacy for teaching students with disabilities, and observations of classroom teaching in their clinical placement settings.

Leveraging Simulations in Preservice Preparation to Improve Mathematics Teaching for Students with Disabilities (Collaborative Research: Jones)

This project aims to support the mathematics learning of students with disabilities through the development and use of mixed reality simulations for elementary mathematics teacher preparation. These simulations represent low-stakes opportunities for preservice teachers to practice research-based instructional strategies to support mathematics learning, and to receive feedback on their practices.

Lead Organization(s): 
Partner Organization(s): 
Award Number: 
2010298
Funding Period: 
Fri, 05/01/2020 to Tue, 04/30/2024
Full Description: 

The preparation of general education teachers to support the mathematics learning of students with disabilities is critical, as students with disabilities are overrepresented in the lower ranks of mathematics achievement. This project aims to address this need in the context of elementary mathematics teacher preparation through the development and use of mixed reality simulations. These simulations represent low-stakes opportunities for preservice teachers to practice research-based instructional strategies to support mathematics learning, and to receive feedback on their practices. Learning units that use the simulations will focus on two high leverage practices: teacher modeling of self-monitoring and reflection strategies during problem solving and using strategy instruction to teach students to support problem solving. These high-leverage teaching practices will support teachers engaging all students, including students with disabilities, in conceptually sophisticated mathematics in which students are treated as sense-makers and empowered to do mathematics in culturally meaningful ways.

The project work encompasses three primary aims. The first aim is to develop a consensus around shared definitions of high-leverage practices across the mathematics education and special education communities. To accomplish this goal, the project will convene a series of consensus-building panels with mathematics education and special education experts to develop shared definitions of the two targeted high leverage practices. This work will include engaging with current research, group discussion, and production of documents with specifications for the practices. The second aim is to develop learning units for elementary mathematics methods courses grounded in mixed reality simulation. These simulations will allow teacher candidates to enact the high leverage practices with simulated students and to receive coaching on their practice from the research team. The impact of this work will be assessed through the analysis of interviews with teacher educators implementing the units and observations and artifacts from the implementations. The third aim will be to assess the effectiveness of the simulations on teacher candidates? practices and beliefs through small-scaled randomized control trials. Teacher candidates will be randomly assigned to conditions that address the practices and make use of simulations, and a business as usual condition focused on lesson planning, student assessment, and small group discussions of the high leverage practices. The impact of the work will be assessed through the analysis of baseline and exit simulations, measures of teacher self-efficacy for teaching students with disabilities, and observations of classroom teaching in their clinical placement settings.

Systemic Transformation of Inquiry Learning Environments for STEM

This project will help teachers design and facilitate high-quality, real world STEM experiences for students, as teachers move from traditional approaches to organizing their teaching around interdisciplinary questions or problems. The project will work with building administrators to make the structural changes needed for interdisciplinary STEM instruction.

Award Number: 
2010530
Funding Period: 
Wed, 07/01/2020 to Sun, 06/30/2024
Full Description: 

This project will address a special challenge for schools: preparing educators to adopt an integrated approach to Science, Technology, Engineering and Mathematics (STEM). This is especially important for educators in underserved urban populations where teacher expertise and guidance are necessary for meaningful student engagement with STEM. Frameworks for helping teachers make these changes are urgently needed, especially approaches that support new perspectives for STEM teaching and learning at the school level. This project will help teachers design and facilitate high-quality, real world STEM experiences for students, as teachers move from traditional approaches to organizing their teaching around interdisciplinary questions or problems. The project will work with building administrators to make the structural changes needed for interdisciplinary STEM instruction. School-based instructional coaches will develop new strategies for guiding STEM teaching and sustaining the work long-term.

The project goals are to: (1) determine the feasibility and utility of the refined project approach, (2) determine the utility of the project's implementation for facilitating change in teacher knowledge and practices, (3) understand the utility of the project's implementation for fostering student change, and (4) understand the extent to which the refined project model supports organizational change in schools. To do this, the program will make its professional development more accessible by adding a blended learning component, expanding the school leadership program, formalizing a training program for new facilitators, and identifying novel ways of defining student outcomes for transdisciplinary learning. The mixed methods research design will involve twenty schools (elementary and intermediate) in New York City and New Haven, CT. A quasi-experimental, within-school rotation model will randomize grade-level participation at the school level to yield a sample of at least 240 teachers, 3,000 students, 40 school-based coaches, and 20 administrators. Quantitative data will primarily capture teacher and student outcomes, while the qualitative data will describe the context of the model implementation and provide a deeper understanding of the quantitative results.

CAREER: Implementing Mathematical Modeling for Emergent Bilinguals

This project will support teacher capacity for implementing mathematical modeling lessons by engaging teachers in co-planning and co-teaching with researchers skilled in Emergent Bilingual (EB) mathematics instruction. The outcomes of this project will be a framework for teaching mathematical modeling to EB students, teacher professional development materials that can be used widely to support EB mathematics teachers, and a massive open online course (MOOC) for teachers to support their continued learning about teaching mathematics modeling to EB students.

Lead Organization(s): 
Award Number: 
1941668
Funding Period: 
Tue, 09/01/2020 to Sun, 08/31/2025
Full Description: 

This project supports secondary mathematics teachers in teaching mathematical modeling practices to an Emergent Bilingual (EB) population. EB students in linguistically diverse mathematics classrooms are frequently limited to procedural, rote instruction, despite research-based recommendations that suggest that EBs' mathematical and linguistic proficiency can benefit from engaging in complex mathematical tasks based on real-life situations. The project will support teacher capacity for implementing mathematical modeling lessons by engaging teachers in co-planning and co-teaching with researchers skilled in EB mathematics instruction. The project will collect information about the quality of mathematics instruction in modeling lessons, what students learn, and how teachers changed in how they position EB students as knowers and doers of mathematics. The outcomes of this project will be a framework for teaching mathematical modeling to EB students, teacher professional development materials that can be used widely to support EB mathematics teachers, and a massive open online course (MOOC) for teachers to support their continued learning about teaching mathematics modeling to EB students.

The project draws on three important constructs related to teaching mathematics to emergent bilingual (EB) students: research on the mathematics education of EB students; research on mathematical modeling; and positioning theory. Related to mathematics education of EB students, the project supports teachers in enacting high-quality instruction that incldues high cognitive demand tasks, encourages EBs to engage in and explain their problem solving process, and complements that work with linguistic and contextual supports that support EB students' entry into the tasks. Related to mathematical modeling, the project makes use of the conceptualization of modeling as a vehicle for content (as compared to mathematics content of its own), and envisions the use of modeling practices as particularly supportive of EB students' learning of algebra. In particular, the modeling-as-a-vehicle stance invites teachers to engage students in tasks that contain multiple mathematical representations, which has the potential to both build students' conceptual understandings of algebra and to strengthen EBs' language and communication skills in the context of mathematics. With respect to positioning theory, the project seeks to disrupt the finding that secondary mathematics teachers tend underestimate EB students' mathematical abilities due to their English proficiency standards, causing them to choose lower cognitive demand tasks for these students against established research-based recommendations. The project team will engage EB algebra and pre-algebra teachers in Des Moines Public schools in co-planning and co-teaching lessons using mathematical modeling practice. This co-planning and co-teaching activity constitutes in-situ professional development for teachers. Co-planning sessions, co-taught lessons, and regular teacher interviews will be recorded and analyzed for quality of instruction and changes in teacher positioning of EB students. The research team and teachers will co-analyze student learning data from observations and district-administered standardized assessments to better understand the impact of the modeling lessons on students' algebra learning and achievement. Eight teachers will participate in the work over the life of the project, each supporting EB classes of approximately 20 students per teacher. The outcomes of these analyses will guide the development fo a mathematical modeling framework for teaching EBs, teacher professional development materials made available for similar work in other schools and districts, and a massive open online course designed for teachers to develop their skills for teaching secondary mathematics to EB students.

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