Pedagogical Content Knowledge

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

This project aims to enact and study the co-design of classroom activities by mathematics and visual arts teachers to promote middle school students' data literacy.

Lead Organization(s): 
Award Number: 
1908557
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.

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

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.

Lead Organization(s): 
Award Number: 
1908142
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.

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.

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.

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.

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.

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

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: 
1907480
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.

This project was previously funded under award #1813086.

Usable Measures of Teacher Understanding: Exploring Diagnostic Models and Topic Analysis as Tools for Assessing Proportional Reasoning for Teaching

This project seeks to measure the kinds of knowledge developed in professional development (PD) programs that have been shown to matter for teachers' classroom practices and their students' learning. The project aims to develop an assessment that identifies patterns in the teachers' learning in a way that helps drive subsequent PD.The overall goal of this project is to pursue a potentially transformative approach to the assessment of teacher proportional knowledge by developing a measure that is well aligned with the content and skills taught in various PD programs.

Award Number: 
1813760
Funding Period: 
Sat, 09/01/2018 to Wed, 08/31/2022
Full Description: 

One of the great challenges related to teachers and their knowledge is measuring their learning in ways that are both formative and meaningful in relation to their likely impact on students. This challenge persists despite efforts to define the knowledge teachers should have and despite previous innovative efforts to create good measures. This project tackles the challenge by specifically aiming to measure the kinds of knowledge developed in professional development (PD) programs that has been shown to matter for teachers' classroom practices and their students' learning. The project aims to develop an assessment that identifies patterns in the teachers' learning in a way that helps drive subsequent professional development.

The overall goal of this project is to pursue a potentially transformative approach to the assessment of teacher proportional knowledge by developing a measure that is well aligned with the content and skills taught in various PD programs. This instrument will be based on a new approach that builds on emerging psychometric models. Specifically, diagnostic classification models (DCMs) will be utilized to diagnose teachers' learning during a PD program as well as employed to identify the progression in teachers' learning.  Statistical topic models (STMs) will be used to look for patterns of understanding that emerge from open-ended responses and provide natural-language insight into teachers' reasoning. A final version of the assessment will be constructed for a national sample based on the results from the predictive validity stage, and this version will be tested with teachers who participate in various types of PD programs targeting proportional reasoning. This project has broad implications for the creation of assessments and for teacher education. It will provide insights about whether there is a clear learning progression for teachers. While much work has been done with students' learning progression, much less is known about how teachers learn. Another implication is that the STM approach allows machine scoring of natural language in a way that highlights strengths and weaknesses in reasoning rather than simply returning a score. For formative use, this is information that is more helpful as it highlights areas for further instruction. A third implication is that DCMs will allow to assess teacher knowledge at a finer-grained understanding than is typically available, thus allowing for careful refinement of PD as well as a tool for showing overall growth in PD. A fourth implication is that a more systematic approach will be followed to capture the kinds of knowledge teachers need. Assessments developed using DCMs and STMs have the potential to serve as models for developing further instruments in other STEM content areas. Such assessments have the potential to not only help identify successful PD programs, but also to provide PD providers with rich data from which they can make instructional decisions.

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