Pedagogical Content Knowledge

Youth Participatory Science to Address Urban Heavy Metal Contamination

This project is focused on the work and learning of teachers as they engage youth from underrepresented groups in studying chemistry as a subject relevant to heavy metal contamination in their neighborhoods. The project will position Chicago teachers and students as Change Makers who are capable of addressing the crises of inequity in science education and environmental contamination that matter deeply to them, while simultaneously advancing their own understanding and expertise.

Award Number: 
1720856
Funding Period: 
Mon, 05/15/2017 to Thu, 04/30/2020
Full Description: 

This project is focused on the work and learning of teachers as they engage youth from underrepresented groups in studying chemistry as a subject relevant to heavy metal contamination in their neighborhoods. The project is a collaboration of teachers in the Chicago Public Schools, science educators, chemists, and environmental scientists from the University of Illinois at Chicago, Northwestern University, Loyola University, and members of the Chicago Environmental Justice Network. The project is significant because it leverages existing partnerships and builds on pilot projects which will be informed by a corresponding cycle of research on teachers' learning and practice. The project will position Chicago teachers and students as Change Makers who are capable of addressing the crises of inequity in science education and environmental contamination that matter deeply to them, while simultaneously advancing their own understanding and expertise. The project will examine the malleable factors affecting the ability of teachers to engage underrepresented students in innovative urban citizen science projects with a focus on the synergistic learning that occurs as teachers, students, scientists, and community members work together on addressing complex socio-scientific issues.

The goal is to provide a network of intellectual and analytical support to high school chemistry teachers engaged in customizing curricula in response to urban environmental concerns. The project will use an annual summer institute where collaborators will develop curriculum and procedures for collecting soil and water samples. In the project, the teachers and students will work with university scientists to analyze these samples for heavy metals, and students will share their results in community settings. The study design will be multiple case and be used to study the content knowledge learned and mobilized by participating teachers as they develop these authentic projects. The project includes explicit focus on the professional development of high school science teachers while it also aims to create rich learning opportunities for underrepresented high school students in STEM fields. The contextualized science concepts within students' everyday experiences or socio-scientific issues will likely have a positive impact on student motivation and learning outcomes, but the experiences of urban students are less likely to be reflected by the curriculum, and the practices of effective secondary science teachers in these contexts are under-examined.

The following article is in press and will be available soon:

Morales-Doyle, D., Childress-Price, T., & Chappell, M. (in press). Chemicals are contaminants too: Teaching appreciation and critique of science in the era of NGSS. Science Education. https://doi.org/10.1002/sce.21546

Learning in Places: Field Based Science in Early Childhood Education

This project aims to develop an innovative field-based science learning approach that will support the capacity of culturally diverse students in Grades K-3 to engage in complex ecological reasoning and related problem solving. To provide rich learning environments, outdoor learning gardens will be created in which students, teachers, garden educators, and families participate in activities that facilitate the investigation of tangible ecological challenges such as water capture and food security.

Lead Organization(s): 
Award Number: 
1720578
Funding Period: 
Sat, 07/01/2017 to Wed, 06/30/2021
Full Description: 

Recent evidence suggests that reasoning and making decisions about ecological systems is a cultural activity that impacts participation in the core scientific practices of observation, evidence use, and claims making. This project aims to develop an innovative field-based science learning approach that will support the capacity of culturally diverse students in Grades K-3 to engage in complex ecological reasoning and related problem solving. To provide rich learning environments, outdoor learning gardens will be created in which students, teachers, garden educators, and families participate in activities that facilitate the investigation of tangible ecological challenges such as water capture and food security.

Using design-based research, the project team will collaborate with teachers, parents of participating students, and community garden educators to collectively design and develop four key components: 1) field-based curricular units for K-3 classrooms; 2) a model of family and community engagement that strengthens cultural relevance and equity in field-based science learning; 3) a pilot program of teacher professional development that informs future scaling efforts; and 4) research that unpacks student learning and teacher instructional practices that support children?s complex ecological reasoning and the cultural contexts of such knowledge. Data sources will include video, interviews, surveys, and student-created artifacts. A mixed-methods approach will be used to produce research findings at multiple levels including: student learning about complex ecological phenomena and field-based practices; classroom-level learning and high-leverage teaching practices in model units at each grade level; impacts of co-design on professional learning and practice; and family and community organizations learning and engagement in field-based science education. The project will be carried out by a research-practice-community partnership in Seattle, Washington that includes learning scientists (University of Washington), K-3 teachers and school administrators (Seattle Public Schools), garden educators (Seattle Tilth), and parents of participating students. In total, eight schools, 32 teachers, 800 students, and 32 families are expected to participate.

Investigating Productive Use of High-Leverage Student Mathematical Thinking (Collaborative Research: Peterson)

This project focuses on the teaching practice of building on student thinking, a practice in which teachers engage students in making sense of their peers' mathematical ideas in ways that help the whole class move forward in their mathematical understanding. The study examines how teachers incorporate this practice into mathematics discussions in secondary classrooms by designing tasks that generate opportunities for teachers to build on students' thinking and by studying teachers' orchestration of whole class discussions around student responses to these tasks.

Lead Organization(s): 
Award Number: 
1720410
Funding Period: 
Sat, 07/01/2017 to Mon, 05/31/2021
Full Description: 

The project will examine how secondary mathematics teachers respond to and use students' thinking during whole class discussion. An ongoing challenge for teachers is making the best use of students' emerging mathematical ideas during whole class discussion. Teachers need to draw on the ideas students have developed in order to create opportunities for learning about significant mathematical concepts. This study will create tasks specifically designed to generate opportunities for teachers to build on students' thinking and then use classroom observation and analysis of classroom video to develop tools to support teachers in leading whole class discussion.

The project focuses on the teaching practice of building on student thinking, a practice in which teachers engage students in making sense of their peers' mathematical ideas in ways that help the whole class move forward in their mathematical understanding. This study examines how teachers incorporate this practice into mathematics discussions in secondary classrooms by designing tasks that generate opportunities for teachers to build on students' thinking and by studying teachers' orchestration of whole class discussions around student responses to these tasks. The project engages teacher-researchers in exploring the building practice. The teacher-researchers will use the project-designed tasks in their classrooms and then engage in a cycle of analysis of their own teaching with the research team. Data collection and analysis will rely on video analysis of classrooms, teachers' reflections on task enactment, and data collected during research team meetings convened with teacher-researchers to analyze practice.

CAREER: Investigating Changes in Students' Prior Mathematical Reasoning: An Exploration of Backward Transfer Effects in School Algebra

This project explores "backward transfer", or the ways in which new learning impacts previously-established ways of reasoning. The PI will observe and evaluate algebra I students as they learn quadratic functions and examine how different kinds of instruction about the new concept of quadratic functions helps or hinders students' prior mathematical knowledge of the previous concept of linear functions.

Lead Organization(s): 
Award Number: 
1651571
Funding Period: 
Sat, 07/01/2017 to Thu, 06/30/2022
Full Description: 

As students learn new mathematical concepts, teachers need to ensure that prior knowledge and prior ways understanding are not negatively affected. This award explores "backward transfer", or the ways in which new learning impacts previously-established ways of reasoning. The PI will observe and evaluate students in four Algebra I classrooms as they learn quadratic functions. The PI will examine how different kinds of instruction about the new concept of quadratic functions helps or hinders students' prior mathematical knowledge of the previous concept of linear functions. More generally, this award will contribute to the field of mathematics education by expanding the application of knowledge transfer, moving it from only a forward focused direction to include, also, a backward focused direction. An advisory board of scholars with expertise in mathematics education, assessment, social interactions, quantitative reasoning and measurement will support the project. The research will occur in diverse classrooms and result in presentations at the annual conferences of national organizations, peer-reviewed publications, as well as a website for teachers which will explain both the theoretical model and the findings from the project. An undergraduate university course and professional development workshops using video data from the project are also being developed for pre-service and in-service teachers. Ultimately, the research findings will generate new knowledge and offer guidance to elementary school teachers as they prepare their students for algebra.

The research involves three phases. The first phase includes observations and recordings of four Algebra I classrooms and will test students' understanding of linear functions before and after the lessons on quadratic functions. This phase will also include interviews with students to better understand their reasoning about linear function problems. The class sessions will be coded for the kind of reasoning that they promote. The second phase of the project will involve four cycles of design research to create quadratic and linear function activities that can be used as instructional interventions. In conjunction with this phase, pre-service teachers will observe teaching sessions through a course that will be offered concurrently with the design research. The final phase of the project will involve pilot-applied research which will test the effects of the instructional activities on students' linear function reasoning in classroom settings. This phase will include treatment and control groups and further test the hypotheses and instructional products developed in the first two phases.

Analysis of Effective Science Coaching: What, Why and How

This project will conduct an in-depth analysis of instructional coaching by analyzing archived video-recorded coaching sessions with middle and high school science teachers. The goal of the project is to analyzing the videos and previously collected quantitative outcome data to create descriptive profiles of instructional coaching and identify which key coaching elements lead to desired teacher and student outcomes.

Lead Organization(s): 
Award Number: 
1621308
Funding Period: 
Sat, 10/01/2016 to Mon, 09/30/2019
Full Description: 

This Exploratory project will conduct an in-depth analysis of instructional coaching by analyzing 520 hours of archived video-recorded coaching sessions with 75 middle and high school science teachers in grades 6-12 collected in a U.S. Department of Education IES-funded coaching research study. The goal of the project is to "unpack" the coaching intervention by analyzing the videos and previously collected quantitative outcome data to (a) create descriptive profiles of instructional coaching and (b) identify which key coaching elements ("active ingredients") lead to desired teacher and student outcomes.

Following a design-based research approach, relying on iterative feedback and using data saturation process to analyze data, the project will translate theorized, conceptual characteristics of coaching into empirical models to guide future coaching research and practical guidance through identification of critical elements needed for coaching to work.

Sensing Science through Modeling: Developing Kindergarten Students' Understanding of Matter and Its Changes

This project will develop a technology-supported, physical science curriculum that will facilitate kindergarten students' conceptual understanding of matter and how matter changes. The results of this investigation will contribute important data on the evolving structure and content of children's physical science models as well as demonstrate children's understanding of matter and its changes.

Lead Organization(s): 
Award Number: 
1621299
Funding Period: 
Sat, 10/01/2016 to Wed, 09/30/2020
Full Description: 

Despite recent research demonstrating the capacity of young children to engage deeply with science concepts and practices, challenging science curriculum is often lacking in the early grades. This project addresses this gap by developing a technology-supported, physical science curriculum that will facilitate kindergarten students' conceptual understanding of matter and how matter changes. To accomplish these goals, the curriculum will include opportunities for students to participate in model-based inquiry in conjunction with the use of digital probeware and simulations that enable students to observe dynamic visualizations and make sense of the phenomena. To support the capacity of kindergarten teachers, a continuous model of teacher development will be implemented.

Throughout development, the project team will collaborate with kindergarten teachers and more than 300 demographically diverse students across eight classrooms in Massachusetts and Indiana. A design based research approach will be used to iteratively design and revise learning activities, technological tools, and assessments that meet the needs and abilities of kindergarten students and teachers. The project team will: 1) work with kindergarten teachers to modify an existing Grade 2 curricular unit for use with their students; 2) design a parallel curricular unit incorporating technology; 3) evaluate both units for feasibility and maturation effects; and 4) iteratively revise and pilot an integrated unit and assess kindergarten student conceptual understanding of matter and its changes. The results of this investigation will contribute important data on the evolving structure and content of children's physical science models as well as demonstrate children's understanding of matter and its changes.

Proportions Playground: A Dynamic World to Support Teachers' Proportional Reasoning

This project focuses on the creation of the initial functionality for a dynamic microworld, Proportions Playground, designed to support teachers in developing a coherent understanding of proportional reasoning. The Proportions Playground project seeks to both develop a unique pilot software application for the iPad and explore how it supports teachers in developing a coherent, robust definition of proportions.

Award Number: 
1621290
Funding Period: 
Thu, 09/01/2016 to Thu, 02/28/2019
Full Description: 

Proportions are a critical topic in mathematics that is simultaneously complicated and over-simplified in typical instruction. Current research undertaken by the research team suggests that the over-simplification is related to limitations in teachers' understandings of proportional relationships. Presenting proportions in a dynamic environment offers teachers the opportunity to create key developmental understandings related to this area of mathematics. This project focuses on the creation of the initial functionality for a dynamic microworld, Proportions Playground, designed to support teachers in developing a coherent understanding of proportional reasoning. Proportions Playground is conceptualized as a tool for supporting the development of coherent understandings by allowing teachers to interact in concrete ways with otherwise abstract ideas and by allowing teachers easy access to dynamic objects and other representations. It is meant to address the significant limitations for reasoning about the relationships between measurable aspects of two objects as well as in manipulating those relationships. Building from work currently underway, Proportions Playground will explore key areas in which there are opportunities for engaging teachers in the development of a coherent and robust understanding of proportional reasoning that extends beyond the typical "3 given, 1 unknown" proportion problem. This approach attempts to engage teachers in an array of dynamic, visually-rich sets of tasks designed to challenge teachers' preconceptions of proportions and to strengthen their connections between proportions and related areas of mathematics. This project is funded by the Discovery Research PreK-12 (DRK-12) and EHR Core Research (ECR) Programs. the DRK-12 program supports research and development on STEM education innovations and approaches to teaching, learning, and assessment. The ECR program emphasizes fundamental STEM education research that generates foundational knowledge in the field.

The Proportions Playground project seeks to both develop a unique pilot software application for the iPad and explore how it supports teachers in developing a coherent, robust definition of proportions. The software will be designed to support either numeric manipulation (e.g., graphing software) or geometric constructions (e.g., dynamic geometry software). Specifically, for this project the mathematics of interest will include the relationships between similarity and proportion and the nature of covariation. The research will focus on how teachers are developing a robust and coherent understanding of proportions and how the dynamic environment promotes such understandings. Working with six teacher advisors, the project will develop three task sets. Using teaching experiments and individual interviews, results will be used to refine the task sets. The revised task sets will be piloted with 40 teachers. Data will be collected on participants' thinking and any changes seen in the knowledge resources they are using. The researchers will be looking for factors that seem to impact teachers' thinking as well as evidence to support or deny the assertion that the Proportions Playground activities engage teachers in (a) different ways of reasoning about proportions and (b) support them in drawing from a wide array of resources so that coherence may be developed were the teachers to have a prolonged engagement with the tools. The project will rely on Epistemic Network Analysis to identify the connections between knowledge resources.

Building a Next Generation Diagnostic Assessment and Reporting System within a Learning Trajectory-Based Mathematics Learning Map for Grades 6-8

This project will build on prior funding to design a next generation diagnostic assessment using learning progressions and other learning sciences research to support middle grades mathematics teaching and learning. The project will contribute to the nationally supported move to create, use, and apply research based open educational resources at scale.

Award Number: 
1621254
Funding Period: 
Thu, 09/15/2016 to Sat, 08/31/2019
Full Description: 

This project seeks to design a next generation diagnostic assessment using learning progressions and other research (in the learning sciences) to support middle grades mathematics teaching and learning. It will focus on nine large content ideas, and associated Common Core State Standards for Mathematics. The PIs will track students over time, and work within school districts to ensure feasibility and use of the assessment system.

The research will build on prior funding by multiple funding agencies and address four major goals. The partnership seeks to address these goals: 1) revising and strengthening the diagnostic assessments in mathematics by adding new item types and dynamic tools for data gathering 2) studying alternative ways to use measurement models to assess student mathematical progress over time using the concept of learning trajectories, 3) investigating how to assist students and teachers to effectively interpret reports on math progress, both at the individual and the class level, and 4) engineering and studying instructional strategies based on student results and interpretations, as they are implemented within competency-based and personalized learning classrooms. The learning map, assessment system, and analytics are open source and can be used by other research and implementation teams. The project will exhibit broad impact due to the number of states, school districts and varied kinds of schools seeking this kind of resource as a means to improve instruction. Finally, the research project contributes to the nationally supported move to create, use, and apply research based open educational resources at scale.

Supporting Instructional Growth in Mathematics: Enhancing Urban Secondary Teachers' Professional Learning through Formative Feedback

This project will explore the potential of video-based formative feedback to enhance professional development around ambitious instruction for secondary teachers in urban schools.

Lead Organization(s): 
Award Number: 
1620920
Funding Period: 
Thu, 09/15/2016 to Mon, 08/31/2020
Full Description: 

Research continues to show the benefits of ambitious instruction for student learning of mathematics, yet ambitious instruction continues to be rare in U.S. schools, particularly in schools that serve historically marginalized students. Secondary teachers' learning and enactment of ambitious instruction in mathematics requires conceptual change, and their development could benefit from adequate and timely feedback close to classroom instruction. For this reason, the project will explore the potential of video-based formative feedback to enhance professional development. The focus of the partnership between university researchers and a well-regarded professional development organization, Math for America Los Angeles (MfA LA) will be on career-long learning of secondary mathematics teachers in urban schools. Results from this project will provide a theory of mathematics teachers' learning that can inform other instructional improvement efforts, with ecological validity in the critical site of urban schools. The framework and theory will be detailed at the level of specific tools and concrete practices that are learnable by teachers, school leaders, or instructional coaches. This project is funded by the Discovery Research Pre-K-12 Program, which funds research and development of STEM innovations and approaches in assessment, teaching and learning.

The question the project will address is: How can the project use formative feedback to enhance mathematics teachers' professional learning environments that support their development of ambitious instruction in urban schools? Formative feedback refers to tools and processes that ascertain teachers' current understandings and responsively adapt learning activities to better guide them toward their learning goals. Professional learning environments refer to the multiple sites of teachers' learning, from formal professional development activities to their school workplace. Ambitious instruction is defined as teaching approaches that aim to provide all students with ample opportunities to develop conceptual understanding of key mathematical ideas, participate in mathematical argumentation, connect multiple mathematical representations, as well as become fluent with mathematical procedures and processes. The persistence of typical mathematics instruction is framed as, in large part, an issue of teacher learning. Using design-based implementation research and interpretive methods, the project team will co-develop video-based formative assessment processes to guide teachers' evolving classroom practice.

Improving the Implementation of Rigorous Instructional Materials in Middle Grades Mathematics: Developing a System of Practical Measures and Routines (Collaborative Research: Ahn)

The goal of this project is to improve the implementation of rigorous instructional materials in middle-grades mathematics at scale through a system of practical measures and routines for collecting and using data that both assesses and supports implementation.

Award Number: 
1911492
Funding Period: 
Sat, 10/01/2016 to Thu, 09/30/2021
Full Description: 

The goal of this 5-year research project is to improve the implementation of rigorous instructional materials in middle-grades mathematics at scale. Many projects seek to improve mathematics instruction, but are not able to easily track their efforts at improvement. The primary product of this project will be a system of practical measures and routines for collecting and using data that both assesses and supports the implementation of rigorous instructional materials in middle-grades mathematics. In contrast to research and accountability measures, practical measures are assessments that require little time to administer and can thus be used frequently. The data can be analyzed rapidly so that teachers can receive prompt feedback on their progress, and instructional leaders can use the data to decide where to target resources to support improvement in the quality of instruction and student learning. The system of practical measures and routines will include 1) measures of high-leverage aspects of teachers' instructional practices that have been linked to student learning (e.g., rigor of tasks, quality of students' discourse) and attend to equitable student participation; and 2) measures of high-leverage aspects of key supports for improving the quality of teachers' practice (e.g., quality of professional development; coaching); and 3) a set of routines regarding how to use the resulting data to engage in rapid, improvement efforts. A key principle of the proposed project is that the system of measures and routines can be adapted to a wide range of school and district contexts. This project is supported by the Discovery Research preK-12 (DRK-12) program. The DRK-12 program supports research and development of STEM education innovations and approaches in assessment, learning, and teaching.

The project will establish three research-practice partnerships with five districts, in three different states, that are currently implementing rigorous instructional materials in middle-grades mathematics. Year 1 will focus on the development of a set of practical measures of classroom instruction. Year 2 will focus on testing the use of the classroom measures in the context of supports for teachers' learning, and the development of practical measures of key supports for teachers' learning. Years 3-4 will focus on how the project can "learn our way to scale" (Bryk et al., 2015), which requires strategically implementing measures and routines in increasingly diverse conditions. The project will engage in rapid improvement cycles in which researchers will work alongside district leaders and professional development (PD) facilitators to analyze the data from the measures of both classroom instruction and the quality of support for teacher learning to test the effectiveness of improvements in intended supports for teacher learning and to adjust the design of the support based on data. Across Years 1-4, the project will use recent developments in technology and information visualization to test and improve 1) the collection of practical measures in situ and 2) the design of data representations (or visualizations) that support teachers and leaders to make instructional improvement decisions. In Year 5, the project will conduct formal analyses of the relations between supports for teachers' learning; teachers' knowledge and classroom practices; and student learning.

This project was previously funded under award #1620900 and 1719744.

 

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