Learning Progression

Developing Formative Assessment Tools and Routines for Additive Reasoning

This design and development project is an expansion of the Ongoing Assessment Project (OGAP), an established model for research-based formative assessment in grades 3-8, to the early elementary grades. The project will translate findings from research on student learning of early number, addition, and subtraction into tools and routines that teachers can use to formatively assess their students' understanding on a regular basis and develop targeted instructional responses.

Lead Organization(s): 
Award Number: 
1620888
Funding Period: 
Thu, 09/01/2016 to Thu, 02/28/2019
Full Description: 

This design and development project is an expansion of the Ongoing Assessment Project (OGAP), an established model for research-based formative assessment in grades 3-8, to the early elementary grades. OGAP brings together two powerful ideas in mathematics education - formative assessment and research based learning trajectories - to enhance teacher knowledge, instructional practices, and student learning. Building on a proven track record of success with this model, the current project will translate findings from research on student learning of early number, addition, and subtraction into tools and routines that teachers can use to formatively assess their students' understanding on a regular basis and develop targeted instructional responses. The project involves a development component focused on producing and field testing new resources (including frameworks, item banks, pre-assessments and professional development materials) and a research component designed to improve the implementation of these resources in school settings. The materials that are developed from this project will help teachers be able to more precisely assess student understanding in the major mathematical work of grades K-2 in order to better meet the needs of diverse learners. With the addition of these new early elementary materials, OGAP formative assessment resources will be available for use from kindergarten through grade 8.

Although much attention has been paid to the improvement of early literacy, building strong mathematical foundations and early computational fluency is equally critical for later success in school and preparation for STEM careers. This project will develop and field test tools, resources, and routines that teachers can employ to help young students develop deeper conceptual understandings and more powerful and efficient strategies in the early grades. The project emerged from the needs of school-based practitioners looking for instructional support in the primary grades and uses design-based research methodology. The new materials will be developed, tested, and revised through multiple iterations of implementation in schools. Research-based learning trajectories will be consolidated into simplified frameworks that illustrate the overall progression of major levels of student thinking in the domains of counting, addition, and subtraction. A bank of formative assessment items will be developed, field tested, and refined through a three-phase validation process. Professional development modules will be designed and field tested to support teacher knowledge and effective use of the formative assessment tools and routines. Data collected on key activities in the formative assessment process (including teacher selection of items, analysis of student work, instructional implications, and enacted instructional response) will be used to continually inform development as well as illuminate the conditions under which formative assessment leads to productive changes in instruction and student learning in the classroom. The project will yield a set of field tested tools and resources ready for both broader dissemination and further research on the promise of the intervention, as well as an understanding of how to support effective implementation.

Connected Biology: Three-Dimensional Learning from Molecules to Populations (Collaborative Research: White)

This project will design, develop, and examine the learning outcomes of a new curriculum unit for biology that embodies the conceptual framework of the Next Generation Science Standards (NGSS). The curriculum materials to be developed by this project will focus on two areas of study that are central to the life sciences: genetics and the processes of evolution by natural selection.

Lead Organization(s): 
Award Number: 
1620746
Funding Period: 
Sat, 10/01/2016 to Wed, 09/30/2020
Full Description: 

This project will contribute to this mission by designing, developing, and examining the learning outcomes of a new curriculum unit for biology that embodies the conceptual framework of the Next Generation Science Standards (NGSS). The curriculum materials to be developed by this project will focus on two areas of study that are central to the life sciences: genetics and the processes of evolution by natural selection. These traditionally separate topics will be interlinked and will be designed to engage students in the disciplinary core ideas, crosscutting concepts, and the science and engineering practices defined by the NGSS. Once developed, the curriculum materials will be available online for use in high school biology courses nationwide.

This project will be guided by two main research questions: 1) How does learning progress when students experience a set of coherent biology learning materials that employ the principles of three-dimensional learning?; and 2) How do students' abilities to transfer understanding about the relationships between molecules, cells, organisms, and evolution change over time and from one biological phenomenon to another? The project will follow an iterative development plan involving cycles of designing, developing, testing and refining elements of the new curricular model. The project team will work with master teachers to design learning sequences that use six case studies to provide examples of how genetic and evolutionary processes are interlinked. An online data exploration environment will extend learning by enabling students to simulate phenomena being studied and explore data from multiple experimental trials as they seek patterns and construct cause-and-effect explanations of phenomena. Student learning will be measured using a variety of assessment tools, including multiple-choice assessment of student understanding, surveys, classroom observations and interviews, and embedded assessments and log files from the online learning environment.

Science, Technology, Engineering and Mathematics Scholars Teacher Academy Resident System

This project will investigate the effectiveness of a teacher academy resident model to recruit, license, induct, employ, and retain middle school and secondary teachers for high-need schools in the South. It will prepare new, highly-qualified science and mathematics teachers from historically Black universities in high-needs urban and rural schools with the goal of increasing teacher retention and diversity rates.

Lead Organization(s): 
Award Number: 
1621325
Funding Period: 
Fri, 07/15/2016 to Wed, 06/30/2021
Full Description: 

This project at Jackson State University will investigate the effectiveness of a teacher academy resident model to recruit, license, induct, employ, and retain middle school and secondary science and mathematics teachers for high-need schools in the South. It will prepare new, highly-qualified science and mathematics teachers from historically Black universities in high-needs urban and rural schools. The project involves a partnership among three historically Black universities (Jackson, State University, Xavier University of Louisiana, and the University of Arkansas at Pine Bluff), and diverse urban and rural school districts in Jackson, Mississippi; New Orleans, Louisiana; and Pine Bluff Arkansas region that serve more than 175,000 students.

Participants will include 150 middle and secondary school teacher residents who will gain clinical mentored experience and develop familiarity with local schools. The 150 teacher residents supported by the program to National Board certification will obtain: state licensure/certification in science teaching, a master's degree, and initiation. The goal is to increase teacher retention and diversity rates. The research question guiding this focus is: Will training STEM graduates have a significant effect on the quality of K-12 instruction, teacher efficacy and satisfaction, STEM teacher retention, and students? Science and mathematics achievement? A quasi-experimental design will be used to evaluate project's effectiveness.

Supporting Teacher Practice to Facilitate and Assess Oral Scientific Argumentation: Embedding a Real-Time Assessment of Speaking and Listening into an Argumentation-Rich Curriculum (Collaborative Research: Greenwald)

The fundamental purpose of this project is to support teacher practice and professional learning around oral scientific argumentation in order to improve the quality of this practice in classrooms. The key outcome of this work will be a research-informed and field-tested prototype to improve the quality of teaching and learning argumentation in middle school science classrooms usable in different learning environments.

Partner Organization(s): 
Award Number: 
1621441
Funding Period: 
Thu, 09/01/2016 to Mon, 08/31/2020
Full Description: 

This is an early-stage design and development collaborative study submitted to the assessment strand of the Discovery Research PreK-12 (DRK-12) program, in response to Program Solicitation NSF 15-592. The fundamental purpose of this project is to support teacher practice and professional learning around oral scientific argumentation in order to improve the quality of this practice in classrooms. To achieve this purpose, the project will examine the validity of a new technology-based formative assessment tool for classroom argumentation--"Diagnosing the Argumentation Levels of Groups" (DiALoG)--for which psychometric validation work has been conducted in a laboratory setting. The DiALoG assessment tool allows teachers to document classroom talk and display scores across multiple dimensions--both intrapersonal and interpersonal--for formative assessment purposes. The project will work with 6th-8th grade science teachers to monitor and support argumentation through real-time formative assessment data generated by the DiALoG instrument. DiALoG will be used in conjunction with "Amplify Science", a Lawrence Hall of Science-developed curriculum that incorporates the science practice of engaging in argument from evidence, and a suite of newly developed Responsive Mini-Lessons (RMLs), which consist of 20-30 minute instructional strategies designed to assist teachers to provide feedback to students' thinking and follow-up to argumentation episodes that the DiALoG tool identifies in need of further support. The study will allow the refinement and expansion of DiALoG and evaluation of its impact on teacher pedagogical content knowledge and formative assessment practices in widespread classroom use.

The project will address two specific research questions: (1) How can DiALoG be refined to provide a formative assessment tool for oral argumentation that is reliable, practical, and useful in middle school classrooms?; and (2) How does the use of DiALoG affect teacher formative assessment practices around evidence-based argumentation, when implementing science units designed to support oral argumentation? In order to answer these questions, the project will conduct a randomized control trial with 100 teachers: 50 will teach argumentation-focused curriculum with DiALoG, 50 will teach the same curriculum without DiALoG. Both control and treatment teachers will receive all digital and physical materials needed to teach three Amplify Science curriculum units. Treatment teachers will be provided also with the most recent version of DiALoG, including the linked RMLs, as well as support materials for using DiALoG with the Amplify curriculum. A subgroup of focus teachers (5 from the treatment group, and 5 from the control group) will be the subject of additional data collection and analysis. Three focus lessons, in which students are engaging in small-group or whole-class oral argumentation, will be selected from each of the three Amplify Science curricular units. Teacher measures for the randomized control trial will include validated instruments, such as (a) a pre- and post-assessment of teacher pedagogical content knowledge; (b) post-lesson and post-unit surveys in which teachers will self-report on their formative assessment practices; and (c) video recordings of selected lessons in the focus classrooms. In order to observe potential differences in formative assessment practices between treatment and control, protocols will be used to analyze the video recordings of focus classrooms, including (a) Reformed Teaching Observation Protocol; (b) Assessment of Scientific Argumentation inside the Classroom; and (c) Formative Assessment for Teachers and Students. The key outcome of this work will be a research-informed and field-tested prototype to improve the quality of teaching and learning argumentation in middle school science classrooms usable in different learning environments.

Supporting Teacher Practice to Facilitate and Assess Oral Scientific Argumentation: Embedding a Real-Time Assessment of Speaking and Listening into an Argumentation-Rich Curriculum (Collaborative Research: Henderson)

The fundamental purpose of this project is to support teacher practice and professional learning around oral scientific argumentation in order to improve the quality of this practice in classrooms. The key outcome of this work will be a research-informed and field-tested prototype to improve the quality of teaching and learning argumentation in middle school science classrooms usable in different learning environments.

Lead Organization(s): 
Award Number: 
1621496
Funding Period: 
Thu, 09/01/2016 to Mon, 08/31/2020
Full Description: 

This is an early-stage design and development collaborative study submitted to the assessment strand of the Discovery Research PreK-12 (DRK-12) program, in response to Program Solicitation NSF 15-592. The fundamental purpose of this project is to support teacher practice and professional learning around oral scientific argumentation in order to improve the quality of this practice in classrooms. To achieve this purpose, the project will examine the validity of a new technology-based formative assessment tool for classroom argumentation--"Diagnosing the Argumentation Levels of Groups" (DiALoG)--for which psychometric validation work has been conducted in a laboratory setting. The DiALoG assessment tool allows teachers to document classroom talk and display scores across multiple dimensions--both intrapersonal and interpersonal--for formative assessment purposes. The project will work with 6th-8th grade science teachers to monitor and support argumentation through real-time formative assessment data generated by the DiALoG instrument. DiALoG will be used in conjunction with "Amplify Science", a Lawrence Hall of Science-developed curriculum that incorporates the science practice of engaging in argument from evidence, and a suite of newly developed Responsive Mini-Lessons (RMLs), which consist of 20-30 minute instructional strategies designed to assist teachers to provide feedback to students' thinking and follow-up to argumentation episodes that the DiALoG tool identifies in need of further support. The study will allow the refinement and expansion of DiALoG and evaluation of its impact on teacher pedagogical content knowledge and formative assessment practices in widespread classroom use.

The project will address two specific research questions: (1) How can DiALoG be refined to provide a formative assessment tool for oral argumentation that is reliable, practical, and useful in middle school classrooms?; and (2) How does the use of DiALoG affect teacher formative assessment practices around evidence-based argumentation, when implementing science units designed to support oral argumentation? In order to answer these questions, the project will conduct a randomized control trial with 100 teachers: 50 will teach argumentation-focused curriculum with DiALoG, 50 will teach the same curriculum without DiALoG. Both control and treatment teachers will receive all digital and physical materials needed to teach three Amplify Science curriculum units. Treatment teachers will be provided also with the most recent version of DiALoG, including the linked RMLs, as well as support materials for using DiALoG with the Amplify curriculum. A subgroup of focus teachers (5 from the treatment group, and 5 from the control group) will be the subject of additional data collection and analysis. Three focus lessons, in which students are engaging in small-group or whole-class oral argumentation, will be selected from each of the three Amplify Science curricular units. Teacher measures for the randomized control trial will include validated instruments, such as (a) a pre- and post-assessment of teacher pedagogical content knowledge; (b) post-lesson and post-unit surveys in which teachers will self-report on their formative assessment practices; and (c) video recordings of selected lessons in the focus classrooms. In order to observe potential differences in formative assessment practices between treatment and control, protocols will be used to analyze the video recordings of focus classrooms, including (a) Reformed Teaching Observation Protocol; (b) Assessment of Scientific Argumentation inside the Classroom; and (c) Formative Assessment for Teachers and Students. The key outcome of this work will be a research-informed and field-tested prototype to improve the quality of teaching and learning argumentation in middle school science classrooms usable in different learning environments.

CAREER: Designing Learning Environments to Foster Productive and Powerful Discussions Among Linguistically Diverse Students in Secondary Mathematics

Award Number: 
1553708
Funding Period: 
Mon, 02/01/2016 to Sun, 01/31/2021
Full Description: 

The project will design and investigate learning environments in secondary mathematics classrooms focused on meeting the needs of English language learners. An ongoing challenge for mathematics teachers is promoting deep mathematics learning among linguistically diverse groups of students while taking into consideration how students' language background influences their classroom experiences and the mathematical understandings they develop. In response to this challenge, this project will design and develop specialized instructional materials and guidelines for teaching fundamental topics in secondary algebra in linguistically diverse classrooms. The materials will incorporate insights from current research on student learning in mathematics as well as insights from research on the role of language in students' mathematical thinking and learning. A significant contribution of the work will be connecting research on mathematics learning generally with research on the mathematics learning of English language learners. In addition to advancing theoretical understandings, the research will also contribute practical resources and guidance for mathematics teachers who teach English language learners. The Faculty Early Career Development (CAREER) program is a National Science Foundation (NSF)-wide activity that offers awards in support of junior faculty who exemplify the role of teacher-scholars through outstanding research, excellent education, and the integration of education and research within the context of the mission of their organizations.

The project is focused on the design of specialized hypothetical learning trajectories that incorporate considerations for linguistically diverse students. One goal for the specialized trajectories is to foster productive and powerful mathematics discussions about linear and exponential rates in linguistically diverse classrooms. The specialized learning trajectories will include both mathematical and language development learning goals. While this project focuses on concepts related to reasoning with linear and exponential functions, the resulting framework should inform the design of specialized hypothetical learning trajectories in other topic areas. Additionally, the project will add to the field's understanding of how linguistically diverse students develop mathematical understandings of a key conceptual domain. The project uses a design-based research framework gathering classroom-based data, assessment data, and interviews with teachers and students to design and refine the learning trajectories. Consistent with a design-based approach, the project results will include development of theory about linguistically diverse students' mathematics learning and development of guidance and resources for secondary mathematics teachers. This research involves sustained collaboration with secondary mathematics teachers and the impacts will include developing capacity of teachers locally, and propagating the results of this work in professional development activities.

Retention of Early Algebraic Understanding

The project will use a quasi-experimental design to explore students' knowledge of core algebraic concepts in middle grades (grade 6), one year after their completion of 3-year, grades 3-5 early algebra intervention. The research questions are: (1) how well students who received a specific intervention retain their understanding of algebraic concepts in future years; and (2) whether and how the intervening year of regular classroom instruction in grade 6 influences the algebra understanding of both intervention and comparison students.

Lead Organization(s): 
Award Number: 
1550897
Funding Period: 
Tue, 09/01/2015 to Wed, 08/31/2016
Full Description: 

The Discovery Research K-12 program (DRK-12) seeks to significantly enhance the learning and teaching of science, technology, engineering and mathematics (STEM) by prek-12 students and teachers through research and development of innovative resources, models and tools. While national and state standards provide important benchmarks for algebra learning beginning in kindergarten, they do not provide rigorously tested models by which these algebra standards might be attained in elementary grades classrooms in ways that will ensure further mathematics achievement. This work will addresses this need by closely documenting the effectiveness of models and tools, developed in our previous work, for early algebra education

The proposed project will use a quasi-experimental design to explore students' knowledge of core algebraic concepts in middle grades (grade 6), one year after their completion of 3-year, grades 3-5 early algebra intervention. The project will also study the algebraic knowledge of a comparison group of students. The research questions are: (1) how well students who received a specific intervention retain their understanding of algebraic concepts in future years; and (2) whether and how the intervening year of regular classroom instruction in grade 6 influences the algebra understanding of both intervention and comparison students.

Collaborative Math: Creating Sustainable Excellence in Mathematics for Head Start Programs

This project will adapt and study a promising and replicable teacher professional development (PD) intervention, called Collaborative Math (CM), for use in early childhood programs. Prepared as generalists, preschool teachers typically acquire less math knowledge in pre-service training than their colleagues in upper grades, which reduces their effectiveness in teaching math. To address teacher PD needs, the project will simultaneously develop teacher content knowledge, confidence, and classroom practice by using a whole teacher approach.

Lead Organization(s): 
Award Number: 
1503486
Funding Period: 
Tue, 09/01/2015 to Sat, 08/31/2019
Full Description: 

This project was submitted to the Discovery Research K-12 (DRK-12) program that seeks to significantly enhance the learning and teaching of science, technology, engineering, and mathematics (STEM) by preK-12 students and teachers, through research and development of innovative resources, models, and tools. Projects in the DRK-12 program build on fundamental research in STEM education and prior research and development efforts that provide theoretical and empirical justification for proposed projects. The project will adapt and study a promising and replicable teacher professional development (PD) intervention, called Collaborative Math (CM), for use in early childhood programs. CM content will focus on nine topics emphasized in preschool mathematics, including sets, number sense, counting, number operations, pattern, measurement, data analysis, spatial relationships, and shape. These concepts are organized around Big Ideas familiar in early math, are developmentally appropriate and foundational to a young child's understanding of mathematics. The project addresses the urgent need for improving early math instruction for low-income children. Prepared as generalists, preschool teachers typically acquire less math knowledge in pre-service training than their colleagues in upper grades, which reduces their effectiveness in teaching math. To address teacher PD needs, the project will simultaneously develop teacher content knowledge, confidence, and classroom practice by using a whole teacher approach. Likewise, the project will involve teachers, teacher aides, and administrators through a whole school approach in PD, which research has shown is more effective than involving only lead teachers. Through several phases of development and research, the project will investigate the contributions of project components on increases in teacher knowledge and classroom practices, student math knowledge, and overall implementation. The project will impact approximately 200 Head Start (HS) teaching staff, better preparing them to provide quality early math experiences to more than 3,000 HS children during the project period. Upon the completion of the project, a range of well-tested CM materials such as resource books and teaching videos will be widely available for early math PD use. Assessment tools that look at math knowledge, attitudes, and teacher practice will also be available. 

The project builds on Erikson Institute research and development work in fields of early math PD and curriculum. Over a 4-year span, project development and research will be implemented in 4 phases: (1) adapting the existing CM and research measures for HS context; (2) conducting a limited field study of revised CM in terms of fidelity and director, teacher/aide, and student outcomes, and study of business as usual (BAU) comparison groups; (3) a study of the promise of the intervention promise with the phase 3 BAU group (who offered baseline in phase 2) and (4) a test of the 2nd year sustainability intervention with phase 3 treatment group. The teacher and student measures are all published, frequently used measures in early childhood education and will be piloted and refined prior to full implementation. The project is a partnership between Erikson, SRI, and Chicago Head Start programs. Project research and resources will be widely disseminated to policy makers, researchers, and practitioners.

PBS NewsHour STEM Student Reporting Labs: Broad Expansion of Youth Journalism to Support Increased STEM Literacy Among Underserved Student Populations and Their Communities

The production of news stories and student-oriented instruction in the classroom are designed to increase student learning of STEM content through student-centered inquiry and reflections on metacognition. This project scales up the PBS NewsHour Student Reporting Labs (SRL), a model that trains teens to produce video reports on important STEM issues from a youth perspective.

Award Number: 
1503315
Funding Period: 
Sat, 08/01/2015 to Wed, 07/31/2019
Full Description: 

The Discovery Research K-12 program (DR-K12) seeks to significantly enhance the learning and teaching of science, technology, engineering and mathematics (STEM) by preK-12 students and teachers, through research and development of innovative resources, models and tools (RMTs). Projects in the DRK-12 program build on fundamental research in STEM education and prior research and development efforts that provide theoretical and empirical justification for proposed projects. This project scales up the PBS NewsHour Student Reporting Labs (SRL), a model that trains teens to produce video reports on important STEM issues from a youth perspective. Participating schools receive a SRL journalism and digital media literacy curriculum, a mentor for students from a local PBS affiliate, professional development for educators, and support from the PBS NewsHour team. The production of news stories and student-oriented instruction in the classroom are designed to increase student learning of STEM content through student-centered inquiry and reflections on metacognition. Students will develop a deep understanding of the material to choose the best strategy to teach or tell the STEM story to others through digital media. Over the 4 years of the project, the model will be expanded from the current 70 schools to 150 in 40 states targeting schools with high populations of underrepresented youth. New components will be added to the model including STEM professional mentors and a social media and media analytics component. Project partners include local PBS stations, Project Lead the Way, and Share My Lesson educators.

The research study conducted by New Knowledge, LLC will add new knowledge about the growing field of youth science journalism and digital media. Front-end evaluation will assess students' understanding of contemporary STEM issues by deploying a web-based survey to crowd-source youth reactions, interest, questions, and thoughts about current science issues. A subset of questions will explore students' tendencies to pass newly-acquired information to members of the larger social networks. Formative evaluation will include qualitative and quantitative studies of multiple stakeholders at the Student Reporting Labs to refine the implementation of the program. Summative evaluation will track learning outcomes/changes such as: How does student reporting on STEM news increase their STEM literacy competencies? How does it affect their interest in STEM careers? Which strategies are most effective with underrepresented students? How do youth communicate with each other about science content, informing news media best practices? The research team will use data from pre/post and post-delayed surveys taken by 1700 students in the STEM Student Reporting Labs and 1700 from control groups. In addition, interviews with teachers will assess the curriculum and impressions of student engagement.

Student-Adaptive Pedagogy for Elementary Teachers: Promoting Multiplicative and Fractional Reasoning to Improve Students' Preparedness for Middle School Mathematics

The project develops a teacher professional development intervention to support student-adaptive pedagogy for multiplicative and fractional reasoning. The idea is that classroom instruction should build on students' current conceptions and experiences. It focuses on students from urban, underserved and low-socioeconomic status populations who often fall behind in the elementary grades and are left underprepared for middle grades mathematics.

Lead Organization(s): 
Award Number: 
1503206
Funding Period: 
Wed, 07/15/2015 to Sun, 06/30/2019
Full Description: 

The project develops a teacher professional development intervention to support student-adaptive pedagogy for multiplicative and fractional reasoning. The idea is that classroom instruction should build on students' current conceptions and experiences. The context for the study is grades 3-5 teachers in Aurora Public Schools. It focuses on students from urban, underserved and low-socioeconomic status populations who often fall behind in the elementary grades and are left underprepared for middle grades mathematics. It includes a summer workshop and academic year follow-up including teacher collaboration. The project provides tools for capitalizing on successful, school-based research for promoting teachers' buy-in, adoption, and sustaining of student-adaptive pedagogy. The project also includes measurement of student understanding of the concepts. An extensive plan to share tools and resources for teachers and instructional coaches (scalable to district/state levels) and of research instruments and findings, will promote sharing project outcomes with a wide community of stakeholders (teachers, administrators, researchers, parents, policy makers) responsible for students' growth. This is a Full Design & Development project within the DRK-12 Program's Learning Strand. The Discovery Research K-12 program (DRK-12) seeks to significantly enhance the learning and teaching of science, technology, engineering and mathematics (STEM) by preK-12 students and teachers, through research and development of innovative resources, models and tools (RMTs). Projects in the DRK-12 program build on fundamental research in STEM education and prior research and development efforts that provide theoretical and empirical justification for proposed projects.

The project aims to implement and study a professional development intervention designed to shift upper-elementary teachers' mathematics teaching toward a constructivist approach, called student-adaptive pedagogy (AdPed), which adapts teaching goals and activities based on students' conceptions and experiences. The project focuses on multiplicative and fractional reasoning--critical for students' success in key areas of middle school mathematics (e.g., ratio, proportion, and function). The project seeks to design an instrument for measuring teachers' implementation of AdPed, a clinical interview rubric for students' multiplicative reasoning and then an analysis of teachers' content knowledge and the implementation of AdPed following the professional development. The research design is rooted in an innovative, cohesive framework that integrates four research-based components: (i) a model of mathematics learning and knowing, (ii) models of progressions in students' multiplicative and fractional reasoning, (iii) a model of teaching (AdPed) to promote such learning, and (iv) a mathematics teacher development continuum. Capitalizing on successful preliminary efforts in the Denver Metro area to refine a PD intervention and student-adaptive tools that challenge and transform current practices, the project will first validate and test instruments to measure (a) teacher growth toward adaptive pedagogy and (b) students' growth in multiplicative reasoning. Using these new instruments, along with available measures, the project will then promote school-wide teacher professional development (grades 3-5) in multiple schools in an urban district with large underserved student populations and study the professional development benefits for teacher practices and student outcomes. The mixed methods study includes classroom-based data (e.g., video analysis, lesson observations, teacher interviews) and measures of students' multiplicative reasoning specifically and mathematical understanding generally.

Pages

Subscribe to Learning Progression