Student Outcomes

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

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

Lead Organization(s): 
Award Number: 
1906565
Funding Period: 
Sun, 09/01/2019 to Thu, 08/31/2023
Full Description: 

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

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

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

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

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

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

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

Validation of the Equity and Access Rubrics for Mathematics Instruction (VEAR-MI)

The main goal of this project is to validate a set of rubrics that attend to the existence and the quality of instructional practices that support equity and access in mathematics classes. The project team will clarify the relationships between the practices outlined in the rubrics and aspects of teachers' perspectives and knowledge as well as student learning outcomes.

Award Number: 
1908481
Funding Period: 
Mon, 07/15/2019 to Fri, 06/30/2023
Full Description: 

High-quality mathematics instruction remains uncommon and opportunities for students to develop the mathematical understanding are not distributed equally. This is particularly true for students of color and students for whom English is not their first language. While educational research has made progress in identifying practices that are considered high-quality, little attention has been given to specific instructional practices that support historically marginalized groups of students particularly as they participate in more rigorous mathematics. The main goal is to validate a set of rubrics that attend to the existence and the quality of instructional practices that support equity and access in mathematics classes. In addition, the project team will clarify the relationships between the practices outlined in the rubrics and aspects of teachers' perspectives and knowledge as well as student learning outcomes.

This project will make use of two existing large-scale datasets focusing on mathematics teachers to develop rubrics on mathematics instructional quality. The datasets include nearly 3,000 video-recorded mathematics lessons and student achievement records from students in Grades 3 through 8. The four phases of this research and development project include training material development, an observation and rubric generalizability study, a coder reliability study, and structural analysis. Data analysis plans involve case studies, exploratory and confirmatory factor analyses, and cognitive interviews. 

Validity Evidence for Measurement in Mathematics Education (V-M2ED) (Collaborative Research: Bostic)

The purpose of this project is to fully explore the mathematics education literature to synthesize what validity evidence is available for quantitative assessments in mathematics education.

Lead Organization(s): 
Partner Organization(s): 
Award Number: 
1920621
Funding Period: 
Thu, 08/01/2019 to Wed, 07/31/2024
Full Description: 

As education has shifted more towards data-driven policy and research initiatives in the last several decades, data for policy-related aspects are often expected to be more quantitative in nature.  This has led to the increase in use of more quantitative measures in STEM education, including mathematics education. Unfortunately, evidence regarding the validity and reliability of mathematics education measures is lacking. Furthermore, the evidence for validity for quantitative tools and measures is not conceptualized or defined consistently by researchers in the field. The purpose of this project is to fully explore the mathematics education literature to synthesize what validity evidence is available for quantitative assessments in mathematics education. Drawing on the results of the synthesis study, the researchers will design, curate, and disseminate a repository of quantitative assessments used in mathematics education teaching and research. The researchers will also create materials and online training for a variety of scholars and practitioners to use the repository.

The team will address two main research questions: 1) How might validity evidence related to quantitative assessments used in mathematics education research be categorized and described? and 2) What validity evidence exists for quantitative instruments used in mathematics education scholarship since 2000? Researchers will use a cross-comparative methodology which involves conducting a literature search and then analyzing and categorizing features of instruments. The research team will examine cases (i.e., assessments described in manuscripts) in which quantitative instruments have been used, alongside specific features such as the construct measured, evidence related to sources of validity, and study sample. The team will then design, develop, and deploy a free online digital repository for the categorization of instruments and describe their associated validity evidence.

Developing and Investigating Unscripted Mathematics Videos

This project will use an alternative model for online videos to develop video units that feature the unscripted dialogue of pairs of students. The project team will create a repository of 6 dialogic mathematics video units that target important Algebra 1 and 2 topics for high school and upper middle school students, though the approach can be applied to any STEM topic, for any age level.

Lead Organization(s): 
Award Number: 
1907782
Funding Period: 
Sun, 09/01/2019 to Thu, 08/31/2023
Full Description: 

This project responds to the recent internet phenomenon of widespread accessibility to online instructional videos, which offer many benefits, such as student control of the pace of learning. However, these videos primarily focus on a single speaker working through procedural problems and providing an explanation. While the immense reach of free online instructional videos is potentially transformative, this potential can only be attained if access transcends physical availability to also include entry into important disciplinary understandings and practices, and only if the instructional method pushes past what would be considered outdated pedagogy in any other setting than a digital one. This project will use an alternative model for online videos, originally developed for a previous exploratory project, to develop 6 video units that feature the unscripted dialogue of pairs of students. The project team will use the filming and post-production processes established during the previous grant to create a repository of 6 dialogic mathematics video units that target important Algebra 1 and 2 topics for high school and upper middle school students, though the approach can be applied to any STEM topic, for any age level. They will also conduct 8 research studies to investigate the promise of these unscripted dialogic videos with a diverse population to better understand the vicarious learning process, which refers to learning from video- or audio-taped presentations of other people learning. Additionally, the project team will provide broader access to the project videos and support a variety of users, by: (a) subtitling the videos and checking math task statements for linguistic accessibility; (b) representing diversity of race, ethnicity, and language in both the pool of students who appear in the videos and the research study participants; (c) providing teachers with an array of resources including focus questions to pose in class with each video, printable task worksheets, specific ways to support dialogue about the videos, and alignment of the video content with Common Core mathematics standards and practices; and (d) modernizing the project website and making it functional across a variety of platforms.

The videos created for this project will feature pairs of students (called the talent), highlighting their unscripted dialogue, authentic confusion, and conceptual resources. Each video unit will consist of 7 video lessons (each split into 4-5 short video episodes) meant to be viewed in succession to support conceptual development over time. The project will build upon emerging evidence from the exploratory grant that as students engage with videos that feature peers grappling with complex mathematics, they can enter a quasi-collaborative relationship with the on-screen talent to learn complex conceptual content and engage in authentic mathematical practices. The research focuses on the questions: 1. What can diverse populations of vicarious learners learn mathematically from dialogic videos, and how do the vicarious learners orient to the talent in the videos? 2. What is the nature of vicarious learners' evolving ways of reasoning as they engage with multiple dialogic video lessons over time and what processes are involved in vicarious learning? and, 3. What instructional practices encourage a classroom community to adopt productive ways of reasoning from dialogic videos? To address the first question, the project team will conduct two Learning Outcomes and Orientation Studies, in which they analyze students' learning outcomes and survey responses after they have learned from one of the video units in a classroom setting. Before administering an assessment to a classroom of students, they will first conduct an exploratory Interpretation Study for each unit, in which they link the mathematical interpretations that VLs generate from viewing the project videos with their performance on an assessment instrument. Both types of studies will be conducted twice, once for each of two video units - Exponential Functions and Meaning and Use of Algebraic Symbols. For the second research question, the project team will identify a learning trajectory associated with each of four video units. These two learning trajectories will inform the instructional planning for the classroom studies by identifying what meaningful appropriation can occur, as well as conceptual challenges for VLs. By delivering learning trajectories for two additional units, the project can contribute to vicarious learning theory by identifying commonalities in learning processes evident across the four studies. For the final research question, the project team will investigate how instructors can support students with the instrumental genesis process, which occurs through a process called instrumental orchestration, as they teach the two videos on exponential functions and algebraic symbols.

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

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

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

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

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

Developing the Science Comprehensive Online Learning Platform for Rural School Science Teacher Development

This project will develop, evaluate, and compare the effectiveness of newly-designed online learning platform with traditional face-to-face PD in supporting rural high school science teachers' implementation of an existing biology curriculum aligned with the Next Generation Science Standards (NGSS).

Lead Organization(s): 
Award Number: 
1908937
Funding Period: 
Sun, 09/01/2019 to Wed, 08/31/2022
Full Description: 

Rural school districts in the US face unique challenges: isolation in small farm communities, significant distances between communities, minimal funding, and low teacher salaries. They also serve high numbers of diverse and low-income students, who deserve equitable access to high quality science learning opportunities. Effective online professional development (PD) is needed for teachers working in isolated rural communities where high quality face-to-face PD may be economically impractical for districts to offer. This project will develop, evaluate, and compare the effectiveness of newly-designed online learning platform with traditional face-to-face PD in supporting rural high school science teachers' implementation of an existing biology curriculum aligned with the Next Generation Science Standards (NGSS). The online learning platform will be modeled after successful face-to-face PD features: (1) job-embedded - learning occurs within the context of teachers' classroom instruction, (2) collaborative - teachers share experiences in implementing new practices, and (3) content-specific - teachers develop disciplinary content and instructional practices that support students' understanding of science. Once developed and refined, the online PD platform can be used broadly across other contexts and content areas.

Over a three year period, this project will develop, evaluate, and then compare an online PD platform for supporting rural science teachers in implementing the Towards High School Biology (THSB) curriculum with a traditional face-to-face PD. In year one, the research team will iteratively develop the online platform and adapt the already developed face-to-face PD for implementing THSB to an online format. Utilizing Curator, a social learning platform developed by HT2Labs, project researchers will embed teacher learning that is situated with their own classroom contexts, is asynchronously and synchronously collaborative, and is focused on the THSB curriculum content. In years two and three, forty eight rural middle-school science educators will be recruited from southwest Kansas and randomly assigned to online PD (treatment) or face-to-face PD (comparison). Using mixed methodology, the project will examine if differences exist between the conditions in regards to teacher content knowledge, teacher self-efficacy in using new practices, teacher classroom practices, and student learning outcomes. It is hypothesized that there should be no differences between conditions in fostering successful implementation of evidence-based science practices and student outcomes, demonstrating the success of an online modality to support deep conceptual change in teachers' instructional practices. Furthermore, lessons learned in developing and investigating a science comprehensive online learning platform can inform application to other disciplinary content (e.g., physics, chemistry, Earth and space sciences) and across other grade level and school contexts.

 

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

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

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

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

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

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

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

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

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

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

Streams of Data: Nurturing Data Literacy in Young Science Learners (Collaborative Research: Robeck)

This project will develop an approach to support fourth grade students' data literacy with complex, large-scale, professionally collected data sets. The work will focus on analytical thinking as a subset of data literacy, specifically evaluating and interpreting data. The project will teach students about working with geoscience data, which connect to observable, familiar aspects of the natural world and align with Earth science curriculum standards.

Award Number: 
1906286
Funding Period: 
Mon, 07/01/2019 to Thu, 06/30/2022
Full Description: 

These skills are essential for working with scientific data sets, but educators know very little about how to prepare students for the issues involved in making appropriate inferences from data. The need is compounded by the fact that studies that exist have worked with data sets that students themselves collected, whereas the many electronic data sets, proliferating in the public domain, pose different challenges. This project will develop an approach to support fourth grade students' data literacy with complex, large-scale, professionally collected data sets. The work will focus on analytical thinking as a subset of data literacy, specifically evaluating and interpreting data. The project will teach students about working with geoscience data, which connect to observable, familiar aspects of the natural world and align with Earth science curriculum standards. An interdisciplinary team of educators, researchers, and scientists from the Oceans of Data Institute at Educational Development Center and the American Geological Institute will (1) conduct baseline research to understand students' natural affinities for understanding inference from complex data and phenomena; (2) develop and test scaffolding activities that leverage students' intellectual assets and minimize barriers to analytical thinking with professionally collected data; and (3) examine the degree to which the resulting activities support students to do productive work with professionally collected data. In developing an instructional approach, the project informs generally how professionally collected, scientific data can be used to support elementary students to develop data literacy skills.

Hypothesizing that science, technology, engineering, and mathematics (STEM) education generally can benefit from the instructional use of complex, large, interactive, and professionally-collected (CLIP) data sets (e.g., related to precipitation, stream flow, and groundwater levels), this study will explore approaches to integrating those data into fourth grade classroom instruction. The research is based on a premise that students who engage with CLIP data early in their classroom STEM experiences will develop skills and attitudes that promote meaningful analyses of those data earlier than if that exposure is delayed until secondary courses. The project will use a three-phase iterative design that will unfold in three urban and suburban school districts in Virginia and Maryland. Phase one will focus on creating a baseline of the reasoning students employ when making inferences from data. It will involve 45 students from grades 3-5 in targeted interviews, which will be recorded, transcribed and analyzed. Phases two and three will focus on design and development in grade 4. Phase two will develop and test activities through an iterative design plan that employs a semi-clinical method with small groups of students. Phase three will implement the activities that result from that process in six classrooms across three districts with approximately 150 students. A scoring rubric that captures student learning will be constructed in phase two and used to measure impacts of the field testing in phase three. Observations and interviews will also be conducted at field sites to understand what students learn about analytical thinking from the activities.

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