Professional Development

Developing Leaders, Transforming Practice in K-5 Mathematics: An Examination of Models for Elementary Mathematics Specialists Collaborative Research: Rigelman)

This project will study the Developing Leaders Transforming Practice (DLTP) intervention, which aims to develop teacher leaders, improve teachers' instructional practices, and increase student mathematics understanding and achievement.

Lead Organization(s): 
Award Number: 
1906682
Funding Period: 
Sun, 09/01/2019 to Thu, 08/31/2023
Project Evaluator: 
RMC Research
Full Description: 

Minimal rigorous research has been conducted on the effect of various supports for quality mathematics instruction and providing guidance on the development and use of Elementary Mathematics Specialists (EMSs) on student achievement. Portland Public Schools (PPS), Portland State University, and RMC Research Corporation will study the Developing Leaders Transforming Practice (DLTP) intervention, which aims to improve teachers' instructional practices, increase student mathematics understanding and achievement. The project team will evaluate the efficacy and use of EMSs by testing four implementation models that consider the various ways EMSs are integrated into schools. DLTP builds on EMS research, investigating EMSs both as elementary mathematics teachers and coaches by articulating four models and examining their efficacy for both student and teacher learning. This study has the potential to provide benefits both within and beyond PPS as it informs the preparation and use of EMSs. Determining which model is best in certain contexts provides a focus for the expansion of mathematics support.

DLTP enhances the research base by examining the effect of teacher PD on student achievement through a rigorous quasi-experimental design. The project goals will be met by addressing 4 research questions: 1) What is the effect of the intervention on teacher leadership?; 2) What is the effect of the intervention on teachers' use of research-based instructional practices?; 3) What is the effect of the intervention on a school's ability to sustain ongoing professional learning for teachers?; and 4) What is the effect of the intervention on student mathematics achievement? Twelve elementary schools in PPS will select elementary teachers to participate in the DLTP and adopt an implementation model that ranges from direct to diffuse engagement with students: elementary mathematics teacher, grade level coach, grade-level and building-level coach, or building-level coach. The research team will conduct 4 major studies that include rigorous quasi-experimental designs and a multi-method approach to address the research questions: leadership study, instructional practices study, school study, and student achievement study. Several tools will be created by the project - a leadership rubric designed to measure changes in EMS mathematics leadership because of the project and a 5-part teacher survey designed capture EMS leadership skills, pedagogical content knowledge, use of research-based practices, and school climate for mathematics learning as well as implementation issues.

Students and Teachers Learning from Nature: Studying Biologically Inspired Design in High School Engineering Education

In this project, high school engineering teachers will spend five weeks in a research lab devoted to biologically-inspired design, as they partner with cutting-edge engineers and scientists to study animal features and behavior and their applications to engineering designs. After this lab experience, the high school teachers will receive three six- to ten-week curricular units, tailored for tenth- through twelfth-grade students, which teach biologically-inspired design in the context of problems that are relevant to youth.

Award Number: 
1907906
Funding Period: 
Thu, 08/01/2019 to Mon, 07/31/2023
Full Description: 

Scientists and engineers often learn from nature to develop new products that benefit society, a process called biologically-inspired design. Aerospace engineers, for example, have studied the intricate folding patterns in ladybugs' wings to gain ideas for designing more compact satellites. In this project, high school engineering teachers will spend five weeks in a research lab devoted to biologically-inspired design, as they partner with cutting-edge engineers and scientists to study animal features and behavior and their applications to engineering designs. After this lab experience, the high school teachers will receive three six- to ten-week curricular units, tailored for tenth- through twelfth-grade students, which teach biologically-inspired design in the context of problems that are relevant to youth. The teachers will also participate in ongoing professional development sessions that demonstrate strategies for teaching these units. The research team will study whether and how the lab and professional development experiences influence the teachers' understandings of engineering and perspectives toward nature, among other outcomes. Additionally, the research team will study whether the curricular units are associated with positive learning outcomes for students. The curricula and professional development modules will be shared publicly through online resources and teacher workshops, and research findings will be widely disseminated through journals. Because previous research has suggested that biologically-inspired design is a promising approach for attracting and retaining women in engineering careers, this project is likely to result in products that foster high school girls' interest in engineering during a critical period when they are imagining their future career trajectories. Moreover, these products are likely to fuel national innovation by teaching students how to look to nature to find answers to pressing problems, and by generating knowledge about motivational educational approaches that encourage a wider range of high school students to pursue engineering careers.

This project addresses the persistent underrepresentation of girls in engineering careers by developing and testing three sets of curricula that are expected to lead to positive outcomes among high school females. These curricula incorporate biologically-inspired engineering, humanistic engineering, a focus on sustainability and ideation, and authentic design contexts. Ten high school teachers will participate in extensive professional development experiences that prepare them to effectively teach the curricula. These experiences include a five-week lab experience with scientists who are applying biologically-inspired design; a one-week workshop demonstrating strategies for teaching the units; weekly implementation meetings; and web-based professional development modules. To study the effect of the professional development on teachers, researchers will collect curriculum design logs, teacher enactment surveys, and engineering teaching self-efficacy surveys; they will also conduct classroom observations and interviews. Qualitative analyses of these sources will indicate whether and how the professional development affected teachers' understanding of the engineering design process, engineering teaching self-efficacy, and perspective toward the natural and designed world. To study the effect of the curricula on over 1,100 high school students, researchers will use a pre-post design with validated measures to determine whether the curricula are associated with greater understanding and use of the engineering design process; ability to generate well-formulated engineering design problems; engineering self-efficacy; attitudes toward the natural and designed world; sustainability awareness; and intent to persist in engineering. Subsequently, a quasi-experimental design with a matched comparison group will enable the researchers to determine whether the treatment group outperformed the comparison group on pre-post measures. Qualitative analysis of focus groups and interviews with a sub-set of high school girls will indicate whether and how the curricula supported their sense of belonging in engineering. This project is designed to advance knowledge and practice in engineering education for high school students, especially among girls, ultimately resulting in broadening participation in engineering pathways.

Strengthening Middle School Mathematical Argumentation through Teacher Coaching: Bridging from Professional Development to Classroom Practice

This project is a professional learning experience for middle school teachers to support them in developing five mathematical practices in their teaching focused on mathematical argumentation - creating mathematical arguments, using appropriate tools strategically, looking for and make use of structure, attending to precision, and looking for and express regularity in repeated reasoning.

Lead Organization(s): 
Award Number: 
1907561
Funding Period: 
Mon, 07/01/2019 to Fri, 06/30/2023
Full Description: 

The Bridging Professional Development project is a professional learning experience for middle school teachers to support them in developing five mathematical practices in their teaching focused on mathematical argumentation. These practices are: create mathematical arguments, use appropriate tools strategically, look for and make use of structure, attend to precision, and look for and express regularity in repeated reasoning. Mathematics argumentation is an important component of complex problem solving and supporting students in understanding the why, not just the how, of mathematics. The professional development intervention consists of summer workshop focused on approximations of teaching practice, and coaching during the school year. The coaching component includes face-to-face coaching and a video-based tool that allows teachers and coaches to engage with records of classroom interactions. The project expands the successful Bridging professional development work by adding four additional mathematical practices that relate to argumentation, adding the coaching component, collecting data on students' equitable participation in classroom discussions, and piloting an impact study to determine whether the professional development that includes coaching leads to improved mathematics teaching and learning, and the mechanisms by which that hypothesized improvement occurs.

The Bridging series of professional development projects are built on a theoretical framework that begins with providing teachers with opportunities to engage in meaningful mathematics teaching practices, identify teaching moves that would support students in learning those practices, and to try out those moves with other teachers in approximations of teaching practice. The outcomes of such activity are increased teacher knowledge that can be mobilized in the planning and enactment of lessons, and improved pedagogical moves in the classroom. This in turn is likely to lead to increased student engagement and mathematics achievement. In this award, Bridging adds cycles of coaching to support teachers in translating lessons learned from approximations of practice to the work in their classrooms with students, and to provide ongoing school-year support for implementation. The research components of the project focus on understanding the practice of the coaches, including the design and deployment of coaching training and coaching sessions, as it relates to teachers' abilities to foster stronger student engagement in mathematical practices. The project will recruit 25 teachers at middle schools with experienced mathematics coaches to participate, with teachers directed to select a single focus class for data collection. Case studies will be pursued with six teachers and three coaches that represent diverse backgrounds, experiences, and levels of prior knowledge. Video records of coaching training and sessions will be collected and analyzed, along with lessons plans and teacher-enacted lessons, to determine the influence of the coaching on practice. The study will also investigate the ways in which teacher engagement in the professional developments leads to changes in teacher practice and student outcomes. Video records of practice, written lesson plans, student work, and interviews will be collected and analyzed to determine the impact on teaching practice. Teachers' mathematical knowledge for teaching will also be assessed at key points in the project to assess teacher learning, and student standardized assessment scores and performance assessment outcomes will be collected to assess student learning.

Invigorating Statistics Teacher Education Through Professional Online Learning (InSTEP)

This project seeks to strengthen the teaching of statistics and data science in grades 6-12 through the design and implementation of an online professional learning environment for teachers. The professional learning environment aims to support in-service teachers in developing stronger content knowledge related to statistics, and knowledge of how to effectively teach statistics in their classrooms.

Project Email: 
Award Number: 
1908760
Funding Period: 
Thu, 08/01/2019 to Mon, 07/31/2023
Project Evaluator: 
Full Description: 

Implementing meaningful statistics education in middle and high schools has been a persistent challenge in the United States. Statistics and data science are critical domains for STEM careers and the general data literacy of the citizenry. This project seeks to strengthen the teaching of statistics and data science in grades 6-12 through the design and implementation of an online professional learning environment for teachers. The professional learning environment aims to support in-service teachers in developing stronger content knowledge related to statistics, and knowledge of how to effectively teach statistics in their classrooms. The project will also evaluate a model of professional development that integrates personalized online learning and microcredentialing (earning small-scale certifications) to better understand its effectiveness in supporting teacher learning. The project will draw from previous work to assemble online modules that engage teachers in doing high-quality statistics and data science tasks, the analysis of video of teachers' and students' work with those tasks, learning a pedagogical framework for teachers to implement the tasks, and exploring guidelines for identifying and developing high-quality statistics and data science tasks. The project will study teacher learning through the use of these modules, and the pathways that teachers choose through them to understand the effectiveness of the model.

The project builds on previous work by the investigators to develop research-based teacher professional development modules that support learning about statistics and statistics education in grades 6-12. Materials currently developed include a series of microcredentials with design features consistent with research on effective teacher professional development. They include opportunities for teachers to engage with statistics content appropriate to the target grade levels they teach, active learning opportunities that engage them with teachers in similar contexts, and a coherent focus that builds on the knowledge and experience teachers bring to the table. The project will take place in iterative phases, beginning with focus groups of middle and high school teachers and district leaders based on first drafts of the materials. This will be followed by cognitive interviews with teachers who engage in the microcredential ecosystem which will inform modifications to the system. Following this phase, cohorts of teachers (25 in the first cohort, 75 in the second) will participate in scaffolded professional development engagement with the materials, and will be assessed with respect to changes in their knowledge and practice. The project will assess changes in teacher knowledge using reliable and valid measures of statistics knowledge and practice. Data will be collected from the online platform regarding teacher engagement and usage to better understand usage and pathways through the materials. The professional learning platform will be made available as a free and open online source at the close of the project.

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Learning Trajectories as a Complete Early Mathematics Intervention: Achieving Efficacies of Economies at Scale

The purpose of this project is to test the efficacy of the Learning and Teaching with Learning Trajectories (LT2) program with the goal of improving mathematics teaching and thereby increasing young students' math learning. LT2 is a professional development tool and a curriculum resource intended for teachers to be used to support early math instruction and includes the mathematical learning goal, the developmental progression, and relevant instructional activities.

Lead Organization(s): 
Award Number: 
1908889
Funding Period: 
Mon, 07/01/2019 to Sun, 06/30/2024
Full Description: 

U.S. proficiency in mathematics continues to be low and early math performance is a powerful predictor of long-term academic success and employability. However, relatively few early childhood degree programs have any curriculum requirements focused on key mathematics topics. Thus, teacher professional development programs offer a viable and promising method for supporting and improving teachers' instructional approaches to mathematics and thus, improving student math outcomes. The purpose of this project is to test the efficacy of the Learning and Teaching with Learning Trajectories (LT2) program with the goal of improving mathematics teaching and thereby increasing young students' math learning. LT2 is a professional development tool and a curriculum resource intended for teachers to be used to support early math instruction. The LT2 program modules uniquely include the mathematical learning goal, the developmental progression, and relevant instructional activities. All three aspects are critical for high-quality and coherent mathematics instruction in the early grades.

This project will address the following research questions: 1) What are the medium-range effects of LT2 on student achievement and the achievement gap? 2) What are the short- and long-term effects of LT2 on teacher instructional approach, beliefs, and quality? and 3) How cost effective is the LT2 intervention relative to the original Building Blocks intervention? To address the research questions, this project will conduct a multisite cluster randomized experimental design, with 90 schools randomly assigned within school districts to either experimental or control groups. Outcome measures for the approximately 250 kindergarten classrooms across these districts will include the Research-based Elementary Math Assessment, observations of instructional quality, a questionnaire focused on teacher beliefs and practices, in addition to school level administrative data. Data will be analyzed using multi-level regression models to determine the effect of the Learning Trajectories intervention on student learning.

Case Studies of a Suite of Next Generation Science Instructional, Assessment, and Professional Development Materials in Diverse Middle School Settings

This project addresses a gap between vision and implementation of state science standards by designing a coordinated suite of instructional, assessment and teacher professional learning materials that attempt to enact the vision behind the Next Generation Science Standards. The study focuses on using state-of-the-art technology to create an 8-week long, immersive, life science field experience organized around three investigations.

Lead Organization(s): 
Award Number: 
1907944
Funding Period: 
Mon, 07/01/2019 to Fri, 06/30/2023
Full Description: 

New state science standards are ambitious and require important changes to instructional practices, accompanied by a coordinated system of curriculum, assessment, and professional development materials. This project addresses a gap between vision and implementation of such standards by designing a coordinated suite of instructional, assessment and teacher professional learning materials that attempt to enact the vision behind the Next Generation Science Standards. The study focuses on the design of such materials using state-of-the-art technology to create an 8-week long, immersive, life science field experience organized around three investigations. Classes of urban students in two states will collect data on local insect species with the goal of understanding, sharing, and critiquing environmental management solutions. An integrated learning technology system, the Learning Navigator, draws on big data to organize student-gathered data, dialogue, lessons, an assessment information. The Learning Navigator will also amplify the teacher's role in guiding and fostering next generation science learning. This project advances the field through an in-depth exploration of the goals for the standards documents. The study begins to address questions about what works when, where, and for whom in the context of the Next Generation Science Standards.

The project uses a series of case studies to create, test, evaluate and refine the system of instructional, assessment and professional development materials as they are enacted in two distinct urban school settings. It is designed with 330 students and 22 teachers in culturally, racially and linguistically diverse, under-resourced schools in Pennsylvania and California. These schools are located in neighborhoods that are economically challenged and have students who demonstrate patterns of underperformance on state standardized tests. It will document the process of team co-construction of Next Generation Science-fostering instructional materials; develop assessment tasks for an instructional unit that are valid and reliable; and, track the patterns of use of the instructional and assessment materials by teachers. The study will also record if new misconceptions are revealed as students develop Next Generation Science knowledge,  comparing findings across two diverse school locations in two states. Data collection will include: (a) multiple types of data to establish validity and reliability of educational assessments, (b) the design, evaluation and use of a classroom observation protocol to gather information on both frequency and categorical degree of classroom practices that support the vision, and (c) consecutive years of ten individual classroom enactments through case studies analyzed through cross-case analyses. This should lead to stronger and better developed understandings about what constitutes strong Next Generation Science learning and the classroom conditions, instructional materials, assessments and teacher development that foster it.

Aligning the Science Teacher Education Pathway: A Networked Improvement Community

This project will study the activities of a Networked Improvement Community (NIC) as a vehicle to bridge gaps across four identified steps along the science teacher training and development pathways within local contexts of 8 participating universities. The overarching goal of the project is to strengthen the capacity of universities and school districts to reliably produce teachers of science who are knowledgeable about and can effectively enact the Next Generation Science Standards (NGSS), although prepared in varied organizational contexts.

Award Number: 
1908900
Funding Period: 
Mon, 07/01/2019 to Fri, 06/30/2023
Full Description: 

California State University will study the activities of a Networked Improvement Community (NIC) as a vehicle to bridge gaps across four identified steps along the science teacher training and development pathways within local contexts of 8 participating universities (NIC sites). Networked Improvement Community (NIC) will co-create a shared vision and co-defined research agenda between university researchers, science educators and school district practitioners working together to reform teacher education across a variety of local contexts. By studying outcomes of shared supports and teacher tools for use in multiple steps along the science teacher education pathway, researchers will map variation existing in the system and align efforts across the science teacher education pathway. This process will integrate an iterative nature of educational change in local contexts impacting enactment of the NGSS in both university teacher preparation programs and in school district professional training activities and classrooms.

The overarching goal of the project is to strengthen the capacity of universities and school districts to reliably produce teachers of science who are knowledgeable about and can effectively enact the Next Generation Science Standards (NGSS), although prepared in varied organizational contexts. The project will accomplish this goal 1) leveraging the use of an established Networked Improvement Community, composed of science education faculty from eight university campuses and by 2) improving and studying coherence in the steps along the science teacher education pathway within and across these universities and school districts. The project will use a mixed methods approach to data collection and analysis. Consistent with Improvement Science Theory, research questions will be co-defined by all stakeholders.

Building a Teacher Knowledge Base for the Implementation of High-Quality Instructional Resources through the Collaborative Investigation of Video Cases (Collaborative Research: Murray)

This project will address the pressing national need to generate shared, practice-based knowledge about how to implement freely available, high-quality instructional resources (mathematics formative assessment lessons) that have been shown to produce significant gains in student learning outcomes. It will expand a professional development model (Analyzing Instruction in Mathematics using the Teaching for Robust Understanding Framework (AIM-TRU)) that supports teacher learning about effective lesson implementation.

Lead Organization(s): 
Award Number: 
1908319
Funding Period: 
Mon, 07/01/2019 to Fri, 06/30/2023
Full Description: 

This project will address the pressing national need to generate shared, practice-based knowledge about how to implement freely available, high-quality instructional resources (mathematics formative assessment lessons) that have been shown to produce significant gains in student learning outcomes. It will expand a professional development model (Analyzing Instruction in Mathematics using the Teaching for Robust Understanding Framework (AIM-TRU)) that supports teacher learning about effective lesson implementation. The backbone of AIM-TRU is a growing, open repository of video cases available to teachers and teacher educators across the U.S. who use or are interested in using the lessons. The repository will include tools such as a facilitator's guide to support teachers and teacher educators to engage in the model and collaboratively investigate the video cases. Consequently, the work will have the potential to engage teachers and teacher educators in improving mathematics education at scale. Because the video cases will capture implementation and ideas for improving instruction in schools serving populations who are underrepresented in mathematics, AIM-TRU will serve to improve mathematics education equitably.

Research questions focus on what teachers learn about high-quality mathematics instruction and instructional materials within a community of practice, and how that learning influences their teaching. In AIM-TRU, teachers engage in the collaborative investigation of video cases utilizing a shared repertoire that includes questioning protocols adapted from the Teaching for Robust Understanding (TRU) framework. This framework articulates five dimensions of classroom instruction that are necessary and sufficient to support students in becoming powerful mathematical thinkers. This affords teachers opportunities to use the TRU dimensions as lenses to diagnose common problems of practice that arise in implementation, and propose innovations and theories for improving instruction that can be tested in real classrooms and documented in new video cases. Analytic tools will be used from frame analysis to produce empirical evidence of what teachers are learning about instruction and instructional materials along the five dimensions of TRU. These data will be mapped to a random sample of video recordings of participating teachers' instruction, scored using the TRU Math Rubric, in order to link learning outcomes from the professional development to changes in instruction. Addressing these research questions will provide a deeper understanding and empirical evidence of learning within teacher collectives, the pressing national need to develop mechanisms to produce collective professional knowledge for teaching, and further efforts to understand the types of knowledge required for effective teaching.

Building a Teacher Knowledge Base for the Implementation of High-Quality Instructional Resources through the Collaborative Investigation of Video Cases (Collaborative Research: Jabon)

This project will address the pressing national need to generate shared, practice-based knowledge about how to implement freely available, high-quality instructional resources (mathematics formative assessment lessons) that have been shown to produce significant gains in student learning outcomes. It will expand a professional development model (Analyzing Instruction in Mathematics using the Teaching for Robust Understanding Framework (AIM-TRU)) that supports teacher learning about effective lesson implementation.

Lead Organization(s): 
Award Number: 
1908311
Funding Period: 
Mon, 07/01/2019 to Fri, 06/30/2023
Full Description: 

This project will address the pressing national need to generate shared, practice-based knowledge about how to implement freely available, high-quality instructional resources (mathematics formative assessment lessons) that have been shown to produce significant gains in student learning outcomes. It will expand a professional development model (Analyzing Instruction in Mathematics using the Teaching for Robust Understanding Framework (AIM-TRU)) that supports teacher learning about effective lesson implementation. The backbone of AIM-TRU is a growing, open repository of video cases available to teachers and teacher educators across the U.S. who use or are interested in using the lessons. The repository will include tools such as a facilitator's guide to support teachers and teacher educators to engage in the model and collaboratively investigate the video cases. Consequently, the work will have the potential to engage teachers and teacher educators in improving mathematics education at scale. Because the video cases will capture implementation and ideas for improving instruction in schools serving populations who are underrepresented in mathematics, AIM-TRU will serve to improve mathematics education equitably.

Research questions focus on what teachers learn about high-quality mathematics instruction and instructional materials within a community of practice, and how that learning influences their teaching. In AIM-TRU, teachers engage in the collaborative investigation of video cases utilizing a shared repertoire that includes questioning protocols adapted from the Teaching for Robust Understanding (TRU) framework. This framework articulates five dimensions of classroom instruction that are necessary and sufficient to support students in becoming powerful mathematical thinkers. This affords teachers opportunities to use the TRU dimensions as lenses to diagnose common problems of practice that arise in implementation, and propose innovations and theories for improving instruction that can be tested in real classrooms and documented in new video cases. Analytic tools will be used from frame analysis to produce empirical evidence of what teachers are learning about instruction and instructional materials along the five dimensions of TRU. These data will be mapped to a random sample of video recordings of participating teachers' instruction, scored using the TRU Math Rubric, in order to link learning outcomes from the professional development to changes in instruction. Addressing these research questions will provide a deeper understanding and empirical evidence of learning within teacher collectives, the pressing national need to develop mechanisms to produce collective professional knowledge for teaching, and further efforts to understand the types of knowledge required for effective teaching.

Building a Teacher Knowledge Base for the Implementation of High-Quality Instructional Resources through the Collaborative Investigation of Video Cases (Collaborative Research: Wilson)

This project will address the pressing national need to generate shared, practice-based knowledge about how to implement freely available, high-quality instructional resources (mathematics formative assessment lessons) that have been shown to produce significant gains in student learning outcomes. It will expand a professional development model (Analyzing Instruction in Mathematics using the Teaching for Robust Understanding Framework (AIM-TRU)) that supports teacher learning about effective lesson implementation.

Lead Organization(s): 
Award Number: 
1908185
Funding Period: 
Mon, 07/01/2019 to Fri, 06/30/2023
Full Description: 

This project will address the pressing national need to generate shared, practice-based knowledge about how to implement freely available, high-quality instructional resources (mathematics formative assessment lessons) that have been shown to produce significant gains in student learning outcomes. It will expand a professional development model (Analyzing Instruction in Mathematics using the Teaching for Robust Understanding Framework (AIM-TRU)) that supports teacher learning about effective lesson implementation. The backbone of AIM-TRU is a growing, open repository of video cases available to teachers and teacher educators across the U.S. who use or are interested in using the lessons. The repository will include tools such as a facilitator's guide to support teachers and teacher educators to engage in the model and collaboratively investigate the video cases. Consequently, the work will have the potential to engage teachers and teacher educators in improving mathematics education at scale. Because the video cases will capture implementation and ideas for improving instruction in schools serving populations who are underrepresented in mathematics, AIM-TRU will serve to improve mathematics education equitably.

Research questions focus on what teachers learn about high-quality mathematics instruction and instructional materials within a community of practice, and how that learning influences their teaching. In AIM-TRU, teachers engage in the collaborative investigation of video cases utilizing a shared repertoire that includes questioning protocols adapted from the Teaching for Robust Understanding (TRU) framework. This framework articulates five dimensions of classroom instruction that are necessary and sufficient to support students in becoming powerful mathematical thinkers. This affords teachers opportunities to use the TRU dimensions as lenses to diagnose common problems of practice that arise in implementation, and propose innovations and theories for improving instruction that can be tested in real classrooms and documented in new video cases. Analytic tools will be used from frame analysis to produce empirical evidence of what teachers are learning about instruction and instructional materials along the five dimensions of TRU. These data will be mapped to a random sample of video recordings of participating teachers' instruction, scored using the TRU Math Rubric, in order to link learning outcomes from the professional development to changes in instruction. Addressing these research questions will provide a deeper understanding and empirical evidence of learning within teacher collectives, the pressing national need to develop mechanisms to produce collective professional knowledge for teaching, and further efforts to understand the types of knowledge required for effective teaching.

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