Mathematics

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.

Project Email: 
Lead Organization(s): 
Award Number: 
2010530
Funding Period: 
Wed, 07/01/2020 to Sun, 06/30/2024
Project Evaluator: 
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.

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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.

CAREER: Exploring Teacher Noticing of Students' Multimodal Algebraic Thinking

This project investigates and expands teachers' learning to notice in two important ways. First, the research expands beyond teachers' noticing of written and verbal thinking to attend to gesture and other aspects of embodied and multimodal thinking. Second, the project focuses on algebraic thinking and seeks specifically to understand how teacher noticing relates to the content of algebra. Bringing together multimodal thinking and the mathematical ideas in algebra has the potential to support teachers in providing broader access to algebraic thinking for more students.

Award Number: 
1942580
Funding Period: 
Mon, 06/01/2020 to Sat, 05/31/2025
Full Description: 

Effective teachers of mathematics attend to and respond to the substance of students' thinking in supporting classroom learning. Teacher professional development programs have supported teachers in learning to notice students' mathematical thinking and using that noticing to make instructional decisions in the classroom. This project investigates and expands teachers' learning to notice in two important ways. First, the research expands beyond teachers' noticing of written and verbal thinking to attend to gesture and other aspects of embodied and multimodal thinking. Second, the project focuses on algebraic thinking and seeks specifically to understand how teacher noticing relates to the content of algebra. Bringing together multimodal thinking and the mathematical ideas in algebra has the potential to support teachers in providing broader access to algebraic thinking for more students.

To study teacher noticing of multimodal algebraic thinking, this project will facilitate video club sessions in which teachers examine and annotate classroom video. The video will allow text-based and visual annotation of the videos to obtain rich portraits of the thinking that teachers notice as they examine algebra-related middle school practice. The research team will create a video library focused on three main algebraic thinking areas: equality, functional thinking, and proportional reasoning. Clips will be chosen that feature multimodal student thinking about these content areas, and provide moments that would be fruitful for advancing student thinking. Two cohorts of preservice teachers will engage in year-long video clubs using this video library, annotate videos using an advanced technological tool, and engage in reflective interviews about their noticing practices. Follow-up classroom observations will be conducted to see how teachers then notice multimodal algebraic thinking in their classrooms. Materials to conduct the video clubs in other contexts and the curated video library will be made available, along with analyses of the teacher learning that resulted from their implementation.

CAREER: Promoting Equitable and Inclusive STEM Contexts in High School

This project focuses on fostering equitable and inclusive STEM contexts with attention to documenting and reducing adolescents' experiences of harassment, bias, prejudice and stereotyping. This research will contribute to understanding of the current STEM educational climates in high schools and will help to identify factors that promote resilience in the STEM contexts, documenting how K-12 educators can structure their classrooms and schools to foster success of all students in STEM classes.

Award Number: 
1941992
Funding Period: 
Sat, 02/01/2020 to Fri, 01/31/2025
Full Description: 

This project focuses on fostering equitable and inclusive STEM contexts with attention to documenting and reducing adolescents' experiences of harassment, bias, prejudice and stereotyping. An important barrier to persistence in STEM fields for marginalized groups, including women and ethnic minorities, relates to a culture in many STEM organizations, such as academic institutions, that fosters discrimination, harassment and prejudicial treatment of those from underrepresented groups. This research will contribute to understanding of the current STEM educational climates in high schools and will help to identify factors that promote resilience in the STEM contexts, documenting how K-12 educators can structure their classrooms and schools to foster success of all students in STEM classes. Further, this work will explore how to create schools where students stand-up for each other and support each other so that any student who is interested will feel welcome in STEM classes and programs.

This research aims to examine cultures of discrimination and harassment in STEM contexts with attention to: 1) assessing STEM climates in high schools in order to identify the character of discrimination and harassment, 2) understanding how youth think about these instances of bias and discrimination; 3) identifying pathways to resilience for underrepresented youth pursuing STEM interests, and 4) testing an intervention to promote bystander intervention from those who witness discrimination and harassment in STEM contexts. This research will take an intersectional approach recognizing that those who are marginalized by multiple dimensions of their identity may experience STEM contexts differently than those who are marginalized by one dimension of their identity. Because adolescence is a critical developmental period during which youth are forming their attitudes, orientations and lifelong behaviors, this research will attend to issues of bias and discrimination well before individuals enter college STEM classrooms or the STEM workforce: namely, during high school. Further, this work will examine the creation of equitable STEM climates in both college-preparation classes as well as workforce development STEM programs offered though or in partnership with high schools. This research will provide clear evidence to document the current culture of STEM contexts in high schools, using mixed methods, including surveys, qualitative interviews and longitudinal measurement. Further, the project will involve development and implementation of an intervention, which will provide the first test of whether bystander intervention can be fostered in STEM students and will involve training STEM students in key 21st century skills, such as social-cognitive capacities and interpersonal skills, enabling them to speak up and support peers from marginalized backgrounds when they observe discrimination and harassment.

CAREER: Investigation of Beginning Teachers' Expertise to Teach Mathematics via Reasoning and Proof

This project aims to develop the knowledge to teach reasoning and proving with secondary teacher candidates, and to follow them into they first years of independent practice to better understand how they are using that knowledge.  The goals of the project are to better understand how beginning teachers' knowledge, dispositions, and proof-related practices evolve over time, and how the sociocultural context and support structures of the schools teachers are in influences their teaching of reasoning and proving.

Lead Organization(s): 
Award Number: 
1941720
Funding Period: 
Mon, 06/01/2020 to Sat, 05/31/2025
Full Description: 

Supporting teachers in integrating reasoning and proving as a mathematical practice into secondary math classes is a persistent challenge. These disciplinary practices are challenging to learn and to teach, and are frequently taught in a procedural way that is limited to the context of high school geometry courses. While much is known about the robust nature of reasoning and proving in mathematics and the content knowledge needed to teach it, less is known about how beginning teachers develop that knowledge and how that knowledge is translated into classroom practice. This project aims to develop the knowledge to teach reasoning and proving with secondary teacher candidates, and to follow them into they first years of independent practice to better understand how they are using that knowledge. The goals of the project are to better understand how beginning teachers' knowledge, dispositions, and proof-related practices evolve over time, and how the sociocultural context and support structures of the schools teachers are in influences their teaching of reasoning and proving.

This project consists of three stages: preservice teacher preparation, the teaching internship, and novice teaching (the first two years of independent practice). During the teacher preparation phase, preservice teachers will take part in a capstone course focused on reasoning and proving, including enacting lessons in related to reasoning and proving in local middle schools. Using the Mathematical Knowledge for Teaching Proof framework, teachers' knowledge and dispositions towards reasoning and proving will be assessed through pre- and post-course assessment and surveys. Their example lessons will be video recorded and analyzed with respect to proof content, and they will engage in post-course interviews. In the next phase, during year-long student teaching internships, they will be asked to integrate reasoning and proving into their classroom practice. A set of target lessons will be recorded and analyzed, with full unit artifacts being collected and analyzed and pre- and post-unit interviews with the teacher conducted. The third phase follows teachers into their first two years of teaching practice and asks them to identify two units related to reasoning and proving to serve as data sources. The research team will conduct start and end of year interviews with the teachers, collect video recordings of the units and associated artifacts, administer a dispositions towards proof survey, and conduct pre- and post-unit interviews. Teachers will also participate in a professional learning community designed to support their teaching related to reasoning and proving. Data will be analyzed across the three phases using case study methodology to characterize patterns of knowledge, dispositions, and practice related o reasoning and proving. The project will also make available educational materials related to the capstone course and the professional learning community that will further support the development of teachers' knowledge and capacity for teaching reasoning and proving.

CAREER: Supporting Model Based Inference as an Integrated Effort Between Mathematics and Science

This project will design opportunities for mathematics and science teachers to coordinate their instruction to support a more coherent approach to teaching statistical model-based inference in middle school. It will prepare teachers to help more students develop a deeper understanding of ideas and practices related to measurement, data, variability, and inference and to use these tools to generate knowledge about the natural world.

Award Number: 
1942770
Funding Period: 
Sat, 02/01/2020 to Fri, 01/31/2025
Full Description: 

This project will design opportunities for mathematics and science teachers to coordinate their instruction to support a more coherent approach to teaching statistical model-based inference in middle school. It will prepare teachers to help more students develop a deeper understanding of ideas and practices related to measurement, data, variability, and inference. Since there is little research to show how to productively coordinate learning experiences across disciplinary boundaries of mathematics and science education, this project will address this gap by: (1) creating design principles for integrating instruction about statistical model-based inference in middle grades that coordinates data modeling instruction in mathematics classes with ecology instruction in science classes; (2) generating longitudinal (2 years) evidence about how mathematical and scientific ideas co-develop as students make use of increasingly sophisticated modeling and inferential practices; and (3) designing four integrated units that coordinate instruction across mathematics and science classes in 6th and 7th grade to support statistical model-based inference.

This project will use a multi-phase design-based research approach that will begin by observing teachers' current practices related to statistical model-based inference. Information from this phase will help guide researchers, mathematics teachers, and science teachers in co-designing units that integrate data modeling instruction in mathematics classes with ecological investigations in science classes. This project will directly observe students' thinking and learning across 6th and 7th grades through sample classroom lessons, written assessment items, and interviews. Data from these aspects of the study will generate evidence about how students make use of mathematical ideas in science class and how their ecological investigations in science class provoke a need for new mathematical tools to make inferences. The resulting model will integrate mathematics and science learning in productive ways that are sensitive to both specific disciplinary learning goals and the ways that these ideas and practices can provide a better approximation for students to knowledge generating practices in STEM disciplines.

CAREER: Understanding Latinx Students' Stories of Doing and Learning Mathematics

This project characterizes and analyses the developing mathematical identities of Latinx students transitioning from elementary to middle grades mathematics. The central hypothesis of this project is that elementary Latino students' stories can identify how race and language are influential to their mathematical identities and how school and classroom practices may perpetuate inequities.

Lead Organization(s): 
Award Number: 
1941952
Funding Period: 
Mon, 06/01/2020 to Sat, 05/31/2025
Full Description: 

Although the Latino population throughout the United States continues to increase, various researchers have shown that Latino students are often not afforded high quality learning experiences in their mathematics classrooms. As a result, Latino students are underrepresented in higher level mathematics courses and careers involving mathematics. Having a better understanding of Latino students' perspectives and experiences is imperative to improving their opportunities to learn mathematics. Yet, little research has made central Latinos students' perspectives of learning and doing mathematics, especially over a critical period of time like the transition from elementary to middle school. The goal of this study will be to improve mathematics teaching and learning for Latino youth as they move from upper elementary to early middle school mathematics classrooms. The project involves three major parts: investigating the policy, media, and oral histories of Latino families/communities to understand the context for participating Latino students' mathematics education; exploring Latino students' stories about their experiences learning and doing mathematics to understand these students' perspectives; and creating documentary video portraitures (or composite cases) of participants' stories about learning and doing mathematics that can be used in teacher preparation and professional development. Finally, the project will look across the experiences over the duration of the project to develop a framework that can be used to improve Latino students' mathematics education experiences. This project will provide a window into how Latino students may experience inequities and can broaden mathematics educators' views on opportunities to engage Latino students in rigorous mathematics. The project will also broaden the field's understanding of how Latino students racial/ethnic and linguistic identities influence their experiences learning mathematics. It will also identify key factors that impact Latino students' experiences in learning mathematics to pinpoint specific areas where interventions and programs need to be designed and implemented. An underlying assumption of the project is that carefully capturing and understanding Latino students' stories can illuminate the strengths and resilience these students bring to their learning and doing of mathematics.

This research project characterizes and analyses the developing mathematical identities of Latinx students transitioning from elementary to middle grades mathematics. The overarching research question for this study is: What are the developing stories of learning and doing mathematics of Latino students as they transition from elementary to middle school mathematics? To answer this question, this study is divided into three phases: 1) understanding and documenting the historical context by examining policy documents, local newspaper articles, and doing focus group interviews with community members; 2) using ethnographic methods over two years to explore students' stories of learning and doing mathematics and clinical interviews to understand how they think about and construct arguments about mathematics (i.e., measurement, division, and algebraic patterning); and 3) creating video-cases that can be used in teacher education. Traditional ways of teaching mathematics perpetuate images of who can and cannot do mathematics by not acknowledging contributions of other cultures to the mathematical sciences (Gutiérrez, 2017) and the way mathematics has become a gatekeeper for social mobility (Martin, Gholson, & Leonard, 2010; Stinson, 2004). Focusing on Latino students' stories can illuminate teachers' construction of equitable learning spaces and how they define success for their Latino students. The central hypothesis of this project is that elementary Latino students' stories can identify how race and language are influential to their mathematical identities and how school and classroom practices may perpetuate inequities. Finally, the data and video-cases will then be used to develop a conceptual framework for understanding the development of the participating students' developing mathematical identities. This framework will provide an in-depth understanding of the developing racial/ethnic, linguistic, and mathematical identities of the participating Latino students. The educational material developed (e.g. video documentaries, discussion material) from this project will be made available to all interested parties freely through the project website. The distribution of these materials, along with further understanding of Latino students' experiences learning mathematics, will help in developing programs and interventions at the elementary and middle grade level to increase the representation of Latino students in STEM careers. Additionally, identifying the key factors impacting Latino students' experiences in learning mathematics can pinpoint specific areas where interventions and programs still need to be designed and implemented. Future projects could include the assessment of these programs. This project will also inform the development of professional learning experiences for prospective and practicing teachers working with Latino or other marginalized students.

Fourteenth International Congress on Mathematical Education (ICME14) Travel Grant

This project will support the participation of 53 US K-12 mathematics teachers, graduate students, community college/university mathematicians, mathematics teacher educators, and mathematics education researchers to attend the Fourteenth International Congress for Mathematical Education (ICME-14) in Shanghai, China.

Project Email: 
Lead Organization(s): 
Award Number: 
1908084
Funding Period: 
Sun, 09/01/2019 to Mon, 02/28/2022
Project Evaluator: 
Full Description: 

This project will support the participation of 53 US K-12 mathematics teachers, graduate students, community college/university mathematicians, mathematics teacher educators, and mathematics education researchers to attend the Fourteenth International Congress for Mathematical Education (ICME-14) to be held in Shanghai, China July 9-16, 2020. While mathematics education in the United States has its own culture and expectations, the work and conversations of mathematics educators across the world might contribute to our understanding of issues facing our community today such as curriculum development, the use of technology, strategies for reaching all students, teacher education and professional development. The questions we have as a nation about our own mathematics education might be informed and enlightened by international conversations with others confronting similar issues. A research team led by Sharon McCrone, University of New Hampshire, will prepare a 2020 Fact Book on US mathematics education, building on reports for prior ICMEs. The travel grant will increase the number and diversity of the US mathematics education community attending the international congress, which will enable a broader representation from the US to benefit from interaction with the world's leading mathematics educators.

Through a careful selection process, experts in the field will identify travel recipients most likely to benefit from attending ICME-14 and well-positioned to disseminate insights from their experience. Fostering understanding of international issues and practices among educators and researchers in the US may enhance their capacity to take an informed, global perspective in their work, which, in turn, may benefit their local communities. Digital media will allow educators and classrooms to make and maintain contact across the world, enabling ICME-14 grantees to maintain connections initiated at the meeting and have an impact on large numbers of school children and teachers, both preservice and practicing, in the US. At ICME-14 these educators will engage in learning about the "state of the art" with respect to research and practice in mathematics education from a wide variety of perspectives and will be able to discuss common challenges in teaching and learning mathematics.

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PBS NewsHour Student Reporting Labs StoryMaker: STEM-Integrated Student Journalism

In this project, Student Reporting Labs will develop an online curriculum delivery platform called StoryMaker and a unique set of tools called Storymaker:STEM that will supply in-demand interdisciplinary, multi-modal, STEM-infused teaching and learning tools to classrooms across the country. The project aims to produce unique STEM stories from a teen perspective and partners with local public media stations to provide mentorship and amplify the voices of young people.

Project Email: 
Award Number: 
1908515
Funding Period: 
Sun, 09/01/2019 to Thu, 08/31/2023
Project Evaluator: 
Full Description: 

PBS NewsHour's Student Reporting Labs (SRL) is a youth journalism program that creates transformative educational experiences through video production and community engagement. The program aims to produce unique STEM stories from a teen perspective and partners with local public media stations to provide mentorship and amplify the voices of young people. In this project, Student Reporting Labs will develop an online curriculum delivery platform called StoryMaker and a unique set of tools called Storymaker:STEM that will supply in-demand interdisciplinary, multi-modal, STEM-infused teaching and learning tools to classrooms across the country. SRL StoryMaker:STEM will be a free, self-directed online curriculum delivery system designed to guide educators working with middle and high school-age students through videojournalism experiences that highlight and integrate STEM skills, concepts, issues, and potential solutions into the learning process. This program will also develop mentoring connections with 40 journalism professionals and STEM professionals to provide supports for participating teachers and students. The project will recruit and work with about 100 teachers and their students over the course of the project to inform, test, implement and provide feedback on the SRL StoryMaker:STEM platform and resources. The associated research will explore evidence-based strategies for structuring co-learning and mentorship connections for students and teachers with journalists and science content experts around SRL StoryMaker:STEM to best support student and teacher outcomes.

The four-year associated research study will contribute to understanding how teachers collaborate on teaching STEM across academic disciplines through a series of interviews, surveys, and site visits with the pilot teachers and their students using SRL StoryMaker:STEM. The analysis of the data will focus on identifying the benefits of developing a community of teachers who collaborate on teaching STEM across the academic discipline through journalism practice. Specifically, a combination of quantitative and qualitative methods will be used to examine the following research questions: What teacher affordances are necessary for using journalism practices to support STEM learning across academic disciplines? How do teacher perceptions of their school constraints influence their use of STEM-based learning activities? How do teachers from different disciplines teach numerical reasoning, communicating with data, and the other essential STEM thinking skills? How might an online support community be structured to encourage teacher-to-teacher scaffolding related to STEM content given variation in their pedagogical training? Meanwhile, front-end evaluation will identify barriers and opportunities specific to this project. Formative evaluation will focus on how each specific iteration is meeting teachers' needs and aspirations, and summative evaluation will examine teachers' STEM learning and teachers' perception of students' STEM outcomes.

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Looking Back and Looking Forward: Increasing the Impact of Educational Research on Practice

The focus of this conference is to carefully examine past and current research with an eye toward improving its impact on practice and to create concrete steps that could shape the nature and impact of mathematics education research.

Lead Organization(s): 
Award Number: 
1941494
Funding Period: 
Sun, 09/01/2019 to Mon, 08/31/2020
Full Description: 

The focus of the proposed conference is to carefully examine past and current research with an eye toward improving its impact on practice. This conference is designed to create concrete steps that could shape the nature and impact of mathematics education research for years to come. A diverse group of 50 participants will be invited to participate. Participants include 10 experienced K-12 educators whose perspectives will be used to anchor the conference in problems of practice. Other participants represent senior through more junior scholars who have demonstrated a commitment to addressing the disconnect between research and practice, along with technology experts to advise participants on capabilities and innovative uses of modern technologies for instruction, assessment and data management.

The overarching goal for the conference is to help the field of mathematics education think deeply about the most productive ways to answer the following questions: [1] Why hasn't past research had a more direct impact on practice? What can be learned from this historical analysis for future research? [2] What is a possible vision for research that would have a more direct impact on practice? What questions should be asked? What methods should be used? What concrete steps can be taken to launch the new research programs? [3] What are the implications of adopting new kinds of research programs? If they gain traction, how will such changes affect the broader education community and infrastructure, including preservice teacher education, teacher professional development, and the training of future researchers? How should the roles of researchers and teachers change? What incentive structures might motivate these changes? How will new programs of research interact with existing programs?

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