Urban

Building Students' Data Literacy through the Co-design of Curriculum by Mathematics and Art Teachers (Collaborative Research: Silander)

The aim of this project is to enact and study a process in which middle school teachers of mathematics and visual arts co-design and teach activities that combine math and art to teach data science.

Award Number: 
1908030
Funding Period: 
Mon, 07/01/2019 to Wed, 06/30/2021
Full Description: 

The aim of this project is to enact and study a process in which middle school teachers of mathematics and visual arts co-design and teach activities that combine math and art to teach data science. Many existing efforts to promote data literacy are grounded in mathematical concepts of central tendency and variation, and typically are narrowly focused in single subject domains. Taking an art-based perspective on data science has the potential to promote student relevance, accessibility, engagement, reasoning, and meaning-making with data science. Moreover, visualization technology has advanced to a degree that the relation between the information in data and visual aesthetic can be leveraged easily. To explore the opportunity this offers, research on this project will examine how to equip teachers to develop such interdisciplinary pedagogical approaches to cultivate their students' data literacy. This exploratory project will provide support for 12 teachers during summer workshops and during the school year as these teachers implement their co-designed units in their classrooms. The work addresses the following questions: (1) How do we support effective co-design of data literacy units among art teachers, mathematics teachers, and researchers? (2) How are teachers able to use the unit materials in their classrooms to engage students in data literacy? And (3) How does an art-based approach support students' data literacy? Answers to these questions will build an understanding of how to support interdisciplinary curriculum design collaborations among researchers and teachers. They will also show how art-integrated, maker-oriented activities can support middle school learners' data literacy development; and how to design technologies that are accessible and powerful to teachers and learners in these interdisciplinary environments.

Through summer workshops and year-round design collaborations, the project will iteratively design, test and refine four units for middle school classrooms, including activities, tools, and assessments, to promote students' data literacy. Data will be collected from co-design sessions as well as classroom-enactments, and will include observations, video/audio recordings, student- and teacher-generated artifacts, and pre and post assessments of students' knowledge and self-efficacy. Mixed methods analyses of these data, and syntheses of findings across participants, classroom enactments, and project years, will explore effective ways to support co-design among art teachers, mathematics teachers, and researchers; and the impact of art-integrated activities on students' data literacy. This project will reach 12 teachers and their students across 6 New York city schools. By building capacity and knowledge about how to initiate and sustain teachers' interdisciplinary curriculum collaborations, the project will have broader impact. Refined project materials, including pedagogical approaches, toolkits and adaptable classroom activities, will be disseminated to facilitate classroom adoption by other educators who wish to undertake similar art-integrated data literacy curriculum design collaborations, and will thus ultimately broaden participation in data science among diverse youth within and beyond New York City.

Young Mathematicians: Expanding an Innovative and Promising Model Across Learning Environments to Promote Preschoolers' Mathematics Knowledge

The goal of this design and development project is to address the critical need for innovative resources that transform the mathematics learning environments of preschool children from under-resourced communities by creating a cross-context school-home intervention.

Award Number: 
1907904
Funding Period: 
Mon, 07/01/2019 to Fri, 06/30/2023
Full Description: 

Far too many children in the U.S. start kindergarten lacking the foundational early numeracy skills needed for academic success. This project contributes to the goal of enhancing the learning and teaching of early mathematics in order to build a STEM-capable workforce and STEM-literate citizenry, which are both crucial to our nation's prosperity and competitiveness. Preparation for the STEM-workforce must start early, as young children's mathematics development undergirds cognitive development, building brain architecture, and supporting problem-solving, puzzling, and persevering, while strongly impacting and predicting future success in school. Preschool children from low socio-economic backgrounds are particularly at risk, as their mathematics knowledge may be up to a full year behind their middle-income peers. Despite agreements about the importance of mathematics-rich interactions for young children's learning and development, most early education teachers and families are not trained in evidence-based methods that can facilitate these experiences, making preschool learning environments (such as school and home) a critical target for intervention. The benefit of this project is that it will develop a robust model for a school-based intervention in early mathematics instruction. The model has the potential to broaden participation by providing instructional materials that support adult-child interaction and engagement in mathematics, explicitly promoting school-home connections in mathematics, and addressing educators' and families' attitudes toward mathematics while promoting children's mathematical knowledge and narrowing opportunity gaps.

The goal of this design and development project is to address the critical need for innovative resources that transform the mathematics learning environments of preschool children from under-resourced communities by creating a cross-context school-home intervention. To achieve this goal, qualitative and quantitative research methodologies will be employed, integrating data from multiple sources and stakeholders. Specifically, the project will: (1) engage in a materials design and development process that includes an iterative cycle of design, development, and implementation, collaborating with practitioners and families in real-world settings; (2) collect and analyze data from at least 40 Head Start classrooms, implementing the mathematics materials to ensure that the classroom and family mathematics materials and resources are engaging, usable, and comprehensible to preschoolers, teachers, and families; and (3) conduct an experimental study that will measure the impact of the intervention on preschool children's mathematics learning. The researchers will analyze collected data using hierarchical linear regression modeling to account for the clustering of children within classrooms. The researchers will also use a series of regression models and multi-level models to determine whether the intervention promotes student outcomes and whether it supports teachers' and families' positive attitudes toward mathematics.

Improving Grades 6-8 Students' Mathematics Achievement in Modeling and Problem Solving through Effective Sequencing of Instructional Practices

This project will provide structured and meaningful scaffolds for teachers in examining two research-based teaching strategies hypothesized to positively impact mathematics achievement in the areas of mathematical modeling and problem solving. The project investigates whether the order in which teachers apply these practices within the teaching of mathematics content has an impact on student learning.

Project Email: 
Lead Organization(s): 
Award Number: 
1907840
Funding Period: 
Mon, 07/01/2019 to Fri, 06/30/2023
Full Description: 

The Researching Order of Teaching project will provide structured and meaningful scaffolds for teachers in examining two research-based teaching strategies hypothesized to positively impact mathematics achievement in the areas of mathematical modeling and problem solving. The first strategy, Explicit Attention to Concepts (EAC), is a set of practices that draw students' attention specifically to mathematical concepts in ways that extend beyond memorization, procedures, or application of skills. This strategy may include teachers asking students to connect multiple mathematical representations, compare solution strategies, discuss mathematical reasoning underlying procedures, or to identify a main mathematical idea in a lesson and how it fits into the broader mathematical landscape. The second strategy, Student Opportunities to Struggle (SOS), entails providing students with time and space to make sense of graspable content, overcoming confusion points, stimulating personal sense-making, building perseverance, and promoting openness to challenge. This strategy may include teachers assigning problems with multiple solution strategies, asking students to look for patterns and make conjectures, encouraging and promoting discourse around confusing or challenging ideas, and asking students for extended mathematical responses. This project investigates whether the order in which teachers apply these practices within the teaching of mathematics content has an impact on student learning. This study builds on previous work that had identified an interaction between the EAC and SOS instructional strategies, and associated teacher reporting of stronger use of the practices with higher student mathematics achievement.

The project will have four key design features. First, the project will adopt and extend the research-based EAC/SOS conceptual framework, and explicitly responds to the call for further research on the interactions. Second, the project will focus on the mathematical areas of modeling and problem solving, two complex and critical competencies for all students in the middle grades. Third, the project will position teachers as collaborators in the research with needed expertise. Finally, the project will make use of research methods from crossover clinical trials to implementation in classrooms. The project aims to identify the affordances and constraints of the EAC/SOS framework in the design and development of instructional practices, to identify student- and teacher-level factors associated with changes in modeling and problem solving outcomes, to analyze teachers' implementations EAC and SOS in teaching modeling and problem solving and to associate those implementation factors with student achievement changes, and to determine whether the ordering of these two strategies correlates with differences in achievement. The project will collect classroom observation data and make use of existing tools to obtain reliable and valid ratings of the EAC and SOS strategies in action.The design of the study features a randomized 2 x 2 cluster crossover trial with a sample of teachers for 80% power. The project builds on existing state infrastructure and relationships with a wide array of school districts in the context of professional development, and aims to create a formal Teacher-Researcher Alliance for Investigating Learning as a part of the project work.

Developing Organizational Capacity to Improve K-8 Mathematics Teaching and Learning

This project will develop and test a leadership model to improve K-8 mathematics teaching and learning by involving stakeholders across the K-8 spectrum. The project will support teachers, teacher leaders, and administrators in collectively identifying and addressing problems of practice in the teaching and learning of mathematics, and in turn develop plans to improve school and district organizational capacities to support stronger mathematics teaching.

Award Number: 
1907681
Funding Period: 
Mon, 07/01/2019 to Sun, 06/30/2024
Full Description: 

The Developing Organizational Capacity to Improve K-8 Mathematics Teaching and Learning is a 4-year implementation and improvement project. The project will develop and test a leadership model to improve K-8 mathematics teaching and learning by involving stakeholders across the K-8 spectrum. The project will support teachers, teacher leaders, and administrators in collectively identifying and addressing problems of practice in the teaching and learning of mathematics, and in turn develop plans to improve school and district organizational capacities to support stronger mathematics teaching. At the heart of the project is the Elementary Mathematics Leadership (EML) model, which is designed to improve stakeholder understandings of effective math teaching practices. The EML model involves collaboratively identifying classroom-based problems of practice with school and district personnel, designing and implementing professional development aligned with the problems of practice, and iterating those cycles of development, implementation, and revision to assess the model's effectiveness.

The EML model operates at the teacher, school, and district level using a design-based implementation research approach. At the district level, leadership teams in conjunction with researchers will identify problems of practice for which work on those problems will lead to a more coherent mathematics instruction in the district. Following this, professional development and coaching at the teacher level will be designed and implemented to target the problem of practice, with a focus on big ideas within the Common Core State Standards for Mathematics. This phase of the model also includes professional development aimed at school leaders and district administrators to strengthen organizational capacity to support and lead change related to the problem of practice. The final phase of the model calls on researchers, district, and school personnel to engage in an annual redesign of the intervention, making use of data gathered during the school year and evidence about what is happening in classrooms. This design acknowledges the broader policy context in which schools and districts operate as they work towards instructional change. To evaluate the effectiveness of the overall EML model, the project will collect a wide variety of data, including student achievement outcomes using standardized tests; assessments of teachers' mathematical knowledge, instructional practices, and efficacy measures; and measures of leader, administrator, and organizational capacities to support high-quality mathematics instruction. Four districts will be recruited to participate, enacting the model in pairs with a staggered start for one pair of districts to be able to measure treatment effects, using a variation of a switching replications design. Classroom practice and teacher outcomes will be assessed using a variety of MKT assessments, the Mathematical Quality of Instruction (MQI), and the Instructional Quality Assessment (IQA). School level outcomes will be collected via a leadership assessment and interview data, and district level outcomes will be assessed through the use of interview and documentary data. Analysis will include a statistical analysis of the EML model using hierarchical linear modeling, MANOVA/ANOVA, and regression as appropriate at the level of students and teachers, and qualitative analysis and descriptive statistics will be used at the school and district level due to small sample size.

Professional Development for Teaching and Learning about Energy and Equity in High School Physics (Collaborative Research: Scherr)

This project will research and develop instructional materials and conduct professional development for teachers to help students understand energy flow. The project will create a model for secondary science teacher professional development that integrates science concepts with equity education.

Lead Organization(s): 
Award Number: 
1907815
Funding Period: 
Mon, 07/01/2019 to Fri, 06/30/2023
Full Description: 

This project will research and develop instructional materials and conduct professional development for teachers to help students understand energy flow, an important scientific concept with economic and social implications. This energy learning is the foundation for informed decision-making about sustainable and just use of energy resources. Energy issues are not only issues of science and technology, but must be integrated with civics, history, economics, sociology, psychology, and politics to understand and solve modern energy problems. Placing the scientific concept of energy in this social context presents an opportunity to advance science education as equitable and culturally responsive.

This project will create a model for secondary science teacher professional development that integrates science concepts with equity education. This model promotes a key epistemological issue: that science concepts are not culture-free or socially neutral ideas, but rather are concepts created and sustained by people in specific times and places for the purposes of (1) addressing specific social needs and (2) empowering people or groups of people. The two major components of the project are (1) the professional development experience, including both an intensive in-person summer workshop and an online professional learning community, and (2)an energy and equity portal, including an instructional materials library, an action research exchange, and a community forum for teacher discussions. The portal will provide technical resources to support the PLC, including support for sharing instructional materials and reporting on action research. The research plan includes exploratory, development and application phases. The researchers will identify teacher learning in the first iteration of PD, collect and analyze the instructional artifacts to inform how teacher engage with, participate in, and build an understanding energy as a historically and politically situated science concept. A team of scholar-videographers will observe, taking real-time field notes and making daily memos. The research team will use the instructional artifacts, video recordings, field notes, and memos as a basis for analysis through the next academic year. The result will be a nationally significant community of teacher-leaders and library of research-tested instructional materials that are responsive to students' scientific ideas, relevant to socio-political concerns about energy sustainability, respectful of students' cultures, and open to all students no matter their cultural background. Teachers participating in the project will learn to explain how scientific concepts of energy reflect culturally specific values, analyze socio-politically relevant energy scenarios, learn the historic and present-day inequities in the energy industry and in science participation, and be supported in preparing instruction for secondary students that is culturally responsive and relevant to their students' communities.

Professional Development for Teaching and Learning about Energy and Equity in High School Physics (Collaborative Research: Mason)

This project will research and develop instructional materials and conduct professional development for teachers to help students understand energy flow. The project will create a model for secondary science teacher professional development that integrates science concepts with equity education.

Partner Organization(s): 
Award Number: 
1907950
Funding Period: 
Mon, 07/01/2019 to Fri, 06/30/2023
Full Description: 

This project will research and develop instructional materials and conduct professional development for teachers to help students understand energy flow, an important scientific concept with economic and social implications. This energy learning is the foundation for informed decision-making about sustainable and just use of energy resources. Energy issues are not only issues of science and technology, but must be integrated with civics, history, economics, sociology, psychology, and politics to understand and solve modern energy problems. Placing the scientific concept of energy in this social context presents an opportunity to advance science education as equitable and culturally responsive.

This project will create a model for secondary science teacher professional development that integrates science concepts with equity education. This model promotes a key epistemological issue: that science concepts are not culture-free or socially neutral ideas, but rather are concepts created and sustained by people in specific times and places for the purposes of (1) addressing specific social needs and (2) empowering people or groups of people. The two major components of the project are (1) the professional development experience, including both an intensive in-person summer workshop and an online professional learning community, and (2)an energy and equity portal, including an instructional materials library, an action research exchange, and a community forum for teacher discussions. The portal will provide technical resources to support the PLC, including support for sharing instructional materials and reporting on action research. The research plan includes exploratory, development and application phases. The researchers will identify teacher learning in the first iteration of PD, collect and analyze the instructional artifacts to inform how teacher engage with, participate in, and build an understanding energy as a historically and politically situated science concept. A team of scholar-videographers will observe, taking real-time field notes and making daily memos. The research team will use the instructional artifacts, video recordings, field notes, and memos as a basis for analysis through the next academic year. The result will be a nationally significant community of teacher-leaders and library of research-tested instructional materials that are responsive to students' scientific ideas, relevant to socio-political concerns about energy sustainability, respectful of students' cultures, and open to all students no matter their cultural background. Teachers participating in the project will learn to explain how scientific concepts of energy reflect culturally specific values, analyze socio-politically relevant energy scenarios, learn the historic and present-day inequities in the energy industry and in science participation, and be supported in preparing instruction for secondary students that is culturally responsive and relevant to their students' communities.

CAREER: Expanding Latinxs' Opportunities to Develop Complex Thinking in Secondary Science Classrooms through a Research-Practice Partnership

This project will address the need to educate teachers and students to engage in asking questions, collecting and interpreting data, making claims, and constructing explanations about real-world problems that matter to them. The study will explore ways to enhance youths' learning experiences in secondary school classrooms (grades 6-12) by building a sustainable partnership between researchers and practitioners.

Award Number: 
1846227
Funding Period: 
Mon, 07/01/2019 to Sun, 06/30/2024
Full Description: 

This project will address the need to educate teachers and students to engage in asking questions, collecting and interpreting data, making claims, and constructing explanations about real-world problems that matter to them. Science educators generally agree that science classrooms should provide opportunities for students to advance their thinking by engaging in critical conversations with each other as capable sense-makers. Despite decades of reform efforts and the use of experiential activities in science instruction, research indicates that classroom learning for students remains largely procedural, undemanding, and disconnected from the development of substantive scientific ideas. Furthermore, access to high-quality science instruction that promotes such complex thinking is scarce for students with diverse cultural and linguistic backgrounds. The project goals will be: (1) To design a year-long teacher professional development program; and (2) To study the extent to which the professional development model improves teachers' capacity to plan and implement inclusive science curricula.

This study will explore ways to enhance youths' learning experiences in secondary school classrooms (grades 6-12) by building a sustainable partnership between researchers and practitioners. The work will build on a previous similar activity with one local high school; plans are to expand the existing study to an entire school district over five years. The proposed work will be conducted in three phases. During Phase I, the study will develop a conceptual framework focused on inclusive science curricula, and implement the new teacher professional development program in 3 high schools with 15 science teachers. Phase II will expand to 6 middle schools in the school district with 24 teachers aimed at creating a continuous and sustainable research-practice partnership approach at the district. Phase III will focus on data analysis, assessment of partnership activities, dissemination, and planning a research agenda for the immediate future. The study will address three research questions: (1) Whether and to what extent does participating teachers' capacity of planning and implementing the curriculum improve over time; (2) How and why do teachers show differential progress individually and collectively?; and (3) What opportunities and constraints within schools and the school district shape teachers' development of their capacity to design and implement curricula? To address the research questions, the project will gather information about the quality of planned and implemented curriculum using both qualitative and quantitative data. Main project's outcomes will be: (1) a framework that guides teachers' engagement in planning and implementing inclusive science curricula; and (2) increased knowledge base on teacher learning. An advisory board will oversee the work in progress. An external evaluator will provide formative and summative feedback.

Teacher Professional Learning to Support Student Motivational Competencies During Science Instruction (Collaborative Research: Linnenbrink-Garcia)

This project will bring together a multi-disciplinary team of researchers and science teachers to identify a set of practices that science teachers can readily incorporate into their planning and instruction. The project will design, develop, and test a research-based professional learning approach to help middle school science teachers effectively support and sustain student motivational competencies during science instruction.

Lead Organization(s): 
Award Number: 
1813047
Funding Period: 
Sat, 09/01/2018 to Wed, 08/31/2022
Full Description: 

Science teachers identify fostering student motivation to learn as a pressing need, yet teacher professional learning programs rarely devote time to helping teachers understand and apply motivational principles in their instruction. This project will bring together a multi-disciplinary team of researchers and science teachers to identify a set of practices that science teachers can readily incorporate into their planning and instruction. The project will design, develop, and test a research-based professional learning approach to help middle school science teachers effectively support and sustain student motivational competencies during science instruction. The approach will include use of materials addressing student motivational processes and how to support them, evaluation tools to measure student motivational competencies, lesson planning tools, and instruments for teacher self-evaluation. The translation to practice will include recognition of student diversity and consider ways to facilitate context-specific integration of disciplinary and motivational knowledge in practice. The project will focus on middle school science classrooms because this period is an important motivational bridge between elementary and secondary science learning. This project will enhance understanding of teacher pedagogical content knowledge (PCK) in that it frames knowledge about supporting motivational competencies in science as PCK rather than general pedagogical knowledge.

This early stage design and development project will iteratively develop and study a model of teacher professional learning that will help middle school science teachers create, modify, and implement instruction that integrates support for students' motivational competencies with the science practices, crosscutting concepts, and disciplinary core ideas specified in science curriculum standards. A design-based research approach will be used to develop and test four resources teachers will use to explicitly include attention to student motivational competencies in their lesson planning efforts. The resources will include: 1) educational materials about students' motivational processes with concrete examples of how to support them; 2) easy-to-implement student evaluation tools for teachers to gauge students' motivational competencies; 3) planning tools to incorporate motivational practices into science lesson planning; and 4) instruments for teacher self-evaluation. A collaborative group of educational researchers will partner with science teachers from multiple school districts having diverse student populations to jointly develop the professional learning approach and resources. This project will contribute to systemic change by moving motivational processes from an implicit element of educating students, to an explicit and intentional set of strategies teachers can enact. Research questions will focus on how teachers respond to the newly developed professional learning model, and how students respond to instruction developed through implementing the model.

Using Technology to Capture Classroom Interactions: The Design, Validation, and Dissemination of a Formative Assessment of Instruction Tool for Diverse K-8 Mathematics Classrooms

This project will refine, expand, and validate a formative assessment tool called Math Habits Tool (MHT) for kindergarten through 8th grade classrooms. MHT is intended to capture and understand patterns of in-the-moment teacher-student and student-student classroom interactions in ways that can promote more equitable access to high quality math learning experiences for all students.

Lead Organization(s): 
Award Number: 
1814114
Funding Period: 
Sat, 09/15/2018 to Wed, 08/31/2022
Full Description: 

An important aspect of mathematics teaching and learning is the provision of timely and targeted feedback to students and teachers on the teaching and learning processes. However, many of the tools and resources focused on providing such feedback (e.g., formative assessment) are aimed at helping students. However, formative assessment of teaching can be equally transformative for teachers and school leaders and is a key component of improved teacher practice. This project will refine, expand and validate a formative assessment tool called Math Habits Tool (MHT) for kindergarten through 8th grade classrooms. MHT is intended to capture and understand patterns of in-the-moment teacher-student and student-student classroom interactions in ways that can promote more equitable access to high quality math learning experiences for all students. The tablet or computer-based tool is intended for use with teacher leaders, principals, coaches, and others interested in assessing teacher practice in a formative way.

This project will continue the development of the MHT through: (1) the integration of an access component; (2) analysis of videos collected during prior studies covering a diverse set of classrooms across the K-8 spectrum; (2) a validation study using validity-argument approach; and (3) the development, piloting, and refinement of professional development modules that will guide math educators, researchers, and practitioners in using the MHT effectively as a formative assessment of instruction. The revised MHT will be validated through analyses of video data from a range of K-8 classrooms with varying demographics and contexts such as socio-economic status, language backgrounds, gender, school settings (e.g., urban, rural, suburban), and race, with particular attention to increasing accessibility to mathematics learning by students who are traditionally underserved, including emergent bilingual students. The data analysis plan involves video coding with multiple checks on reliability, dimensionality analysis with optimal scaling, correlation analysis, and hierarchical linear modeling.

Teacher Professional Learning to Support Student Motivational Competencies During Science Instruction (Collaborative Research: Marchand)

This project will bring together a multi-disciplinary team of researchers and science teachers to identify a set of practices that science teachers can readily incorporate into their planning and instruction. The project will design, develop, and test a research-based professional learning approach to help middle school science teachers effectively support and sustain student motivational competencies during science instruction.

Award Number: 
1812976
Funding Period: 
Sat, 09/01/2018 to Wed, 08/31/2022
Full Description: 

Science teachers identify fostering student motivation to learn as a pressing need, yet teacher professional learning programs rarely devote time to helping teachers understand and apply motivational principles in their instruction. This project will bring together a multi-disciplinary team of researchers and science teachers to identify a set of practices that science teachers can readily incorporate into their planning and instruction. The project will design, develop, and test a research-based professional learning approach to help middle school science teachers effectively support and sustain student motivational competencies during science instruction. The approach will include use of materials addressing student motivational processes and how to support them, evaluation tools to measure student motivational competencies, lesson planning tools, and instruments for teacher self-evaluation. The translation to practice will include recognition of student diversity and consider ways to facilitate context-specific integration of disciplinary and motivational knowledge in practice. The project will focus on middle school science classrooms because this period is an important motivational bridge between elementary and secondary science learning. This project will enhance understanding of teacher pedagogical content knowledge (PCK) in that it frames knowledge about supporting motivational competencies in science as PCK rather than general pedagogical knowledge.

This early stage design and development project will iteratively develop and study a model of teacher professional learning that will help middle school science teachers create, modify, and implement instruction that integrates support for students' motivational competencies with the science practices, crosscutting concepts, and disciplinary core ideas specified in science curriculum standards. A design-based research approach will be used to develop and test four resources teachers will use to explicitly include attention to student motivational competencies in their lesson planning efforts. The resources will include: 1) educational materials about students' motivational processes with concrete examples of how to support them; 2) easy-to-implement student evaluation tools for teachers to gauge students' motivational competencies; 3) planning tools to incorporate motivational practices into science lesson planning; and 4) instruments for teacher self-evaluation. A collaborative group of educational researchers will partner with science teachers from multiple school districts having diverse student populations to jointly develop the professional learning approach and resources. This project will contribute to systemic change by moving motivational processes from an implicit element of educating students, to an explicit and intentional set of strategies teachers can enact. Research questions will focus on how teachers respond to the newly developed professional learning model, and how students respond to instruction developed through implementing the model.

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