Quasi-experimental

Visual Access to Mathematics: Professional Development for Teachers of English Learners

This project addresses a critical need, developing professional development materials to address the teachers of ELLs. The project will create resources to help teachers build ELLs' mathematical proficiency through the design and development of professional development materials building on visual representations (VRs) for mathematical reasoning across a range of mathematical topics.

Award Number: 
1503057
Funding Period: 
Sat, 08/01/2015 to Fri, 07/31/2020
Full Description: 

The demands placed on mathematics teachers of all students have increased with the introduction of college and career readiness standards. At the same time, the mathematics achievement of English Language Learners (ELLs) lags behind that of their peers. This project addresses a critical need, developing professional development materials to address the teachers of ELLs. The project will create resources to help teachers build ELLs' mathematical proficiency through the design and development of professional development materials building on visual representations (VRs) for mathematical reasoning across a range of mathematical topics. The project will study how to enhance teachers' pedagogical content knowledge that is critical to fostering ELLs' mathematical problem solving and communication to help support fluency in using VRs among teachers and students. To broaden the participation of students who have traditionally not demonstrated high levels of achievement in mathematics, a critical underpinning to further success in the sciences and engineering, there will need to be greater support for teachers of these students using techniques that have been demonstrated to improve student learning. 

The project will use an iterative design and development process to develop a blended learning model of professional development on using VRs with a 30-hour face-to-face summer institute and sixteen 2-hour online learning sessions. Teachers and teacher-leaders will help support the development of the professional development materials. A cluster randomized control trial will study the piloting of the materials and their impact on teacher outcomes. Thirty middle schools from Massachusetts and Maine serving high numbers of ELLs, with approximately 120 teachers, will be randomly assigned to receive the treatment or control conditions. Using a two-level random intercepts hierarchical linear model, the study will explore the impact of participation in the professional development on teachers' mathematical knowledge for teaching and instructional practice. The pilot study will also explore the feasibility of delivering the professional development model more broadly. It builds on prior work that has shown efficacy in geometry, but expands the work beyond a single area in mathematics. At the same time, they will test the model for feasibility of broad implementation.


Project Videos

2019 STEM for All Video Showcase

Title: Designing PD for Math Educators of Students Who are ELs

Presenter(s): Peter Tierney-Fife, Pamela Buffington, Josephine Louie, Jill Neumayer Depiper, & Johannah Nikula

2016 STEM for All Video Showcase

Title: Visual Access to Mathematics: Supporting Teachers of ELs

Presenter(s): Johannah Nikula, Pam Buffington, Mark Driscoll & Peter Tierney-Fife


SimScientists Games: Development of Simulation-Based Game Designs to Enhance Formative Assessment and Deep Science Learning in Middle School

This project will focus on understanding how educational games, designed according to research-based learning and assessment design principles, can better assess and promote students' science knowledge, application of science process skills, and motivation and engagement in learning.

Lead Organization(s): 
Award Number: 
1503481
Funding Period: 
Sat, 08/01/2015 to Wed, 07/31/2019
Full Description: 

The Discovery Research K-12 (DRK-12) program 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. This project is a four-year design and development study submitted to the assessment strand of the program. It will focus on understanding how educational games, designed according to research-based learning and assessment design principles, can better assess and promote students' science knowledge, application of science process skills, and motivation and engagement in learning. The project will develop a new genre of games to serve as formative assessment resources designed to collect evidence of science learning during gameplay, provide feedback and coaching in the form of hints, and reinforce middle grade (6th-8th) students' life science concepts and investigation practices about ecosystems described in the Next Generation Science Standards (NGSS) (Achieve, 2013). The games will build on the designs of the simulation-based, curriculum-embedded assessments developed in previous NSF-funded efforts, which include student progress reports and reflection activities that allow teachers to provide feedback to students and adjust instruction. The design of the games will draw from multiple lines of research, such as cognition, particularly model-based learning; principled assessment design; and motivation. Intended to provide engaging activities for understanding and investigating the system components, roles, interactions, and population dynamics of ecosystems, the project will produce two sets of comprehensive games: (1) Organisms and Interactions, and (2) Emergent Population Levels: Managing an Ecosystem. Each game will consist of progressively advanced mini-games. Twenty-four California Bay Area middle school teachers will participate in the study. Teacher professional development (PD) will include face-to-face sessions and an online platform that permits a wide range of interactions among participants and the facilitators. The PD will emphasize the alignment of the ecosystem simulation-based curriculum modules with their state standards, instructional materials, and the new games. 

The project will address six research questions: (1) How well do the games align with the ecosystem crosscutting concepts, core ideas, and inquiry practices in the NGSS?; (2) How well do game components meet quality standards?; (3) How well do the games integrate with the existing simulation-based curriculum modules and the teachers' existing instructional sequence?; (4) What effect does the use of the games have on students' understanding of the science concepts, scientific practices, and collaboration skills?; (5) How does success in gameplay relate to improved performance on the external outcome measures comprised of the simulation-based benchmark and the pre/posttest?; and (6) How does the use of the games affect students' engagement in science learning? In a Year 1 usability study, the project will test, analyze, and revise alpha versions of the games. In Year 2, a classroom feasibility study of beta versions will inform further revisions. In Year 3, six teachers will pilot-test the games. A second pilot test in Year 4 will examine the effectiveness of the games by comparing student performance in classes using the existing simulation-based curriculum-embedded assessments and reflection activities with classes using the curriculum-embedded assessments plus the new games. Data collection and analysis strategies include: (a) alignment reviews; (b) focus groups and usability testing; (c) cognitive labs for construct validity and usability; (d) game reports (badges); (e) pre/posttest of American Association for the Advancement of Science (AAAS) items; (f) benchmark assessment data; (g) student interest in the games and science; (h) teacher surveys; (i) case studies; (j) game quality analysis; (k) differential item functioning; (l) analysis of covariance; and (m) analysis of variance on posttest scores (outcome variable) to compare the means across student groups (by intervention mode) and their prior science achievement levels.

Thinking Spatially about the Universe: A Physical and Virtual Laboratory for Middle School Science (Collaborative Research: Goodman)

This project will develop and study three week-long middle school lab units designed to teach spatial abilities using a blend of physical and virtual (computer-based) models. "ThinkSpace" labs will help students explore 3-dimensional astronomical phenomena in ways that will support both understanding of these topics and a more general spatial ability. Students will learn both through direct work with the lab unit interface and through succeeding discussions with their peers.

Lead Organization(s): 
Partner Organization(s): 
Award Number: 
1503395
Funding Period: 
Wed, 07/01/2015 to Sat, 06/30/2018
Full Description: 

Critical breakthroughs in science (e.g., Einstein's Theory of General Relativity, and Watson & Crick's discovery of the structure of DNA), originated with those scientists' ability to think spatially, and research has shown that spatial ability correlates strongly with likelihood of entering a career in STEM. This project will develop and study three week-long middle school lab units designed to teach spatial abilities using a blend of physical and virtual (computer-based) models. "ThinkSpace" labs will help students explore 3-dimensional astronomical phenomena (moon phases and eclipses; planetary systems around stars other than the Sun; and celestial motions within the broader universe) in ways that will support both understanding of these topics and a more general spatial ability. Students will learn both through direct work with the lab unit interface and through succeeding discussions with their peers. The research program will determine which elements in the labs best promote both spatial skills and understanding of core ideas in astronomy; and how then to optimize interactive dynamic visualizations toward these ends. Virtual models of the sky and universe will be created using WorldWide Telescope, a free visualization tool that runs on desktop computers, tablets, and mobile devices. The ThinkSpace lab materials will be available at no cost on popular curriculum-sharing sites, including PBS Learning Media and BetterLesson.

The ThinkSpace team will address two main research questions: 1) How can spatial tasks that blend physical and virtual models be embedded into a STEM curriculum in ways that lead to significant improvements in spatial thinking? and 2) How can practitioners optimize design of interactive, dynamic visualizations for teaching spatially complex concepts? The first year of the study will examine two of the lab units with four teachers and about 320 students. The second year of the study will be similar. The third year of the study will test all three lab units in 10 classrooms. Over this study, each week-long ThinkSpace Lab will be formatively tested, using pre/post written assessments of astronomy content and spatial thinking; pre/post interviews with students; and in-class video of students using the lab activities. Scaffolded learning designs will support students in making connections between different spatial views of the phenomena, and will guide them to construct explanations and argue from evidence about how various phenomena (e.g. moon phases) arise in the real Universe, as Next Generation Science Standards demand. The impact of the ThinkSpace labs will be felt far beyond astronomy because the learning models being tested can transfer to other fields where spatial models are critical, and findings on optimization of dynamic visualizations can help to inform instructional design in the age of online learning. 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.

Learning about Ecosystems Science and Complex Causality through Experimentation in a Virtual World

This project will develop a modified virtual world and accompanying curriculum for middle school students to help them learn to more deeply understand ecosystems patterns and the strengths and limitations of experimentation in ecosystems science. The project will build upon a computer world called EcoMUVE, a Multi-User Virtual Environment or MUVE, and will develop ways for students to conduct experiments within the virtual world and to see the results of those experiments.

Project Email: 
Lead Organization(s): 
Award Number: 
1416781
Funding Period: 
Mon, 09/01/2014 to Thu, 08/31/2017
Full Description: 

EcoXPT from videohall.com on Vimeo.

Comprehending how ecosystems function is important knowledge for citizens in making decisions and for students who aspire to become scientists. This understanding requires deep thinking about complex causality, unintended side-effects, and the strengths and limitations of experimental science. These are difficult concepts to learn due to the many interacting components and non-linear interrelationships involved. Ecosystems dynamics is particularly difficult to teach in classrooms because ecosystems involve complexities such as phenomena distributed widely across space that change over long time frames. Learning when and how experimental science can provide useful information in understanding ecosystems dynamics requires moving beyond the limited affordances of classrooms. The project will: 1) advance understanding of experimentation in ecosystems as it can be applied to education; 2) show how student learning is affected by having opportunities to experiment in the virtual world that simulate what scientists do in the real world and with models; and 3) produce results comparing this form of teaching to earlier instructional approaches. This project will result in a learning environment that will support learning about the complexities of the earth's ecosystem.

The project will build upon a computer world called EcoMUVE, a Multi-User Virtual Environment or MUVE, developed as part of an earlier NSF-funded project. A MUVE is a simulated world in which students can virtually walk around, make observations, talk to others, and collect data. EcoMUVE simulates a pond and a forest ecosystem. It offers an immersive context that makes it possible to teach about ecosystems in the classroom, allowing exploration of the complexities of large scale problems, extended time frames and and multiple causality. To more fully understand how ecosystems work, students need the opportunity to experiment and to observe what happens. This project will advance this earlier work by developing ways for students to conduct experiments within the virtual world and to see the results of those experiments. The project will work with ecosystem scientists to study the types of experiments that they conduct, informing knowledge in education about how ecosystem scientists think, and will build opportunities for students that mirror what scientists do. The project will develop a modified virtual world and accompanying curriculum for middle school students to help them learn to more deeply understand ecosystems patterns and the strengths and limitations of experimentation in ecosystems science. The resulting program will be tested against existing practice, the EcoMUVE program alone, and other programs that teach aspects of ecosystems dynamics to help teachers know how to best use these curricula in the classroom.

Teacher Professional Development for Technology-enhanced Inquiry to Foster Students' 21st Century Learning

This project will develop and evaluate a module for use in a 7th grade classroom that promotes student development of 21st Century skills with a particular focus on student development of scientific reasoning. The technology-enhanced curriculum will be designed to engage learners in deep and meaningful investigations to promote student learning of content in parallel with 21st century skills.

Lead Organization(s): 
Partner Organization(s): 
Award Number: 
1417983
Funding Period: 
Mon, 09/01/2014 to Fri, 08/31/2018
Full Description: 

The goal of this Exploratory Design and Development Teaching project is to develop and evaluate a module for use in a 7th grade classroom that promotes student development of 21st Century skills with a particular focus on student development of scientific reasoning. The technology-enhanced curriculum will be designed to engage learners in deep and meaningful investigations to promote student learning of content in parallel with 21st century skills. The module will be designed using principles of inquiry-based learning as well as the principles of universal design for learning (UDL). The motivation behind this project is that it will directly contribute to the limited research on the interventions that impact teachers' capacity to provide high quality 21st century STEM education to all students, with a specific focus on underrepresented minorities and those with disabilities. The classroom setting for which the curriculum will be delivered is within an urban district which includes a large number of minority students and over 20% students with specific learning disabilities. The project will catalyze students' deep understanding of content knowledge while developing 21st century skills in parallel; hence better preparing students for sustainable learning experiences into high school and beyond.

A study will be conducted to determine the effectiveness of the learning modules on classroom practices as well as student learning. A mixed methods design involving multiple measures will provide insights into changes in teachers' content knowledge, teaching practices that include a focus on 21st century learning, and fidelity of use of the TI21 framework for implementation of the learning activities. Pre- and post-testing of students using a scientific reasoning assessment and surveys on attitudes towards STEM, along with validated and widely used concept inventories, will provide further measures. As part of this exploratory project, the design and validity of instruments for use with the targeted population, which includes students with specific learning disabilities, will be further tested. This will include administering some of the assessments through web-based apps to meet the needs of these students. The learning modules, with embedded assessments and web-based apps, will provide an innovative approach in which transferable 21st century skills can be developed and measured. Outcomes of this project will be disseminated throughout the urban school system and therefore have the ability to impact thousands of other students (mostly minorities and many with disabilities) and their science, math, and technology teachers. Project outcomes will also inform the development of future science and/or modules for use in similar urban classroom settings.

Reclaiming Access to Inquiry-based Science Education (RAISE) for Incarcerated Students

This project will develop a Universal Design for Learning, project-based inquiry science program that includes virtual learning environments, virtual laboratories, and digital scaffolds and supports that promote scientific learning for incarcerated youth.

Award Number: 
1418152
Funding Period: 
Mon, 09/01/2014 to Fri, 08/31/2018
Full Description: 

This project is unique in targeting arguably the most vulnerable learners in the American education system: youth confined in juvenile corrections facilities. Three primary problems confronting science education in these settings are: (1) inadequate curriculum and resources; (2) inadequately prepared and supported teachers; and (3) a heterogeneous group of learners, many of whom have disabilities, are disengaged, and/or lack reading and mathematics skills. Failure to address these challenges and the broader educational needs of incarcerated juveniles has broad implications for society, so this project is timely and has high potential for broad impacts.

To address these problems project personnel will employ an iterative development process to develop a curriculum designed to increase access to and mastery of science content, concepts, and inquiry skills critical for careers in the 21st Century STEM workforce. They will then prepare teachers to implement the program in pilot testing in juvenile corrections facilities in Massachusetts. Specifically, the investigators will: (1) align and adapt an existing biology curriculum using Common Core State Standards and Universal Design for Learning principles; (2) develop all materials, digital supports and scaffolds, virtual learning environments and labs, assessments, and teacher professional development materials for one curriculum unit; (3) conduct usability evaluation of all materials and use the results to refine and finalize two curriculum units; (4) prepare teachers to implement the biology program in juvenile corrections education settings; (5) conduct a quasi-experimental study to examine the impacts of the biology program on the content knowledge and inquiry skills of students, their interests, and their levels of engagement; and, (6) disseminate the findings to various constituency groups. The final product will be a Universal Design for Learning, project-based inquiry science program that includes virtual learning environments, virtual laboratories, and digital scaffolds and supports that promote scientific learning for incarcerated youth.

Preparing Urban Middle Grades Mathematics Teachers to Teach Argumentation Throughout the School Year

The objective of this project is to develop a toolkit of resources and practices that will help inservice middle grades mathematics teachers support mathematical argumentation throughout the school year. A coherent, portable, two-year-long professional development program on mathematical argumentation has the potential to increase access to mathematical argumentation for students nationwide and, in particular, to address the needs of teachers and students in urban areas.

Lead Organization(s): 
Award Number: 
1417895
Funding Period: 
Sun, 06/15/2014 to Thu, 05/31/2018
Full Description: 

The project is an important study that builds on prior research to bring a comprehensive professional development program to another urban school district, The District of Columbia Public Schools. The objective of this full research and development project is to develop a toolkit  that provides resources and practices for inservice middle grades mathematics teachers to support mathematical argumentation throughout the school year. Mathematical argumentation, the construction and critique of mathematical conjectures and justifications, is a fundamental disciplinary practice in mathematics that students often never master. Building on a proof of concept of the project's approach ifrom two prior NSF-funded studies, this project expands the model to help teachers support mathematical argumentation all year. A coherent, portable, two-year-long professional development program on mathematical argumentation has the potential to increase access to mathematical argumentation for students nationwide and, in particular, to address the needs of teachers and students in urban areas. Demonstrating this program in the nation's capital will likely attract broad interest and produces important knowledge about how to implement mathematical practices in urban settings. Increasing mathematical argumentation in schools has the potential for dramatic contributions to students' achievement and participation in 21st century workplaces.

Mathematical argumentation is rich discussion in which students take on mathematical authority and co-construct conjectures and justifications. For many teachers, supporting such discourse is challenging; many are most comfortable with Initiate-Respond-Evaluate types of practices and/or have insufficient content understanding. The professional development trains teachers to be disciplined improvisers -- professionals with a toolkit of tools, knowledge, and practices to be deployed creatively and responsively as mathematical argumentation unfolds. This discipline includes establishing classroom norms and planning lessons for argumentation. The model's theory of action has four design principles: provide the toolkit, use simulations of the classroom to practice improvising, support learning of key content, and provide job-embedded, technology-enabled supports for using new practices all year. Three yearlong studies will address design, feasibility, and promise. In Study 1 the team co-designs tools with District of Columbia Public Schools staff. Study 2 is a feasibility study to examine program implementation, identify barriers and facilitators, and inform improvements. Study 3 is a quasi-experimental pilot to test the promise for achieving intended outcomes: expanding teachers' content knowledge and support of mathematical argumentation, and increasing students' mathematical argumentation in the classroom and spoken argumentation proficiency. The studies will result in a yearlong professional development program with documentation of the theory of action, design decisions, pilot data, and instrument technical qualities.

Investigating How to Enhance Scientific Argumentation through Automated Feedback in the Context of Two High School Earth Science Curriculum Units

This project responds to the need for technology-enhanced assessments that promote the critical practice of scientific argumentation--making and explaining a claim from evidence about a scientific question and critically evaluating sources of uncertainty in the claim. It will investigate how to enhance this practice through automated scoring and immediate feedback in the context of two high school curriculum units--climate change and fresh-water availability--in schools with diverse student populations. 

Lead Organization(s): 
Award Number: 
1418019
Funding Period: 
Mon, 09/01/2014 to Fri, 08/31/2018
Full Description: 

With the current emphasis on learning science by actively engaging in the practices of science, and the call for integration of instruction and assessment; new resources, models, and technologies are being developed to improve K-12 science learning. Student assessment has become a nationwide educational priority due, in part, to the need for relevant and timely data that inform teachers, administrators, researchers, and the public about how all students perform and think while learning science. This project responds to the need for technology-enhanced assessments that promote the critical practice of scientific argumentation--making and explaining a claim from evidence about a scientific question and critically evaluating sources of uncertainty in the claim. It will investigate how to enhance this practice through automated scoring and immediate feedback in the context of two high school curriculum units--climate change and fresh-water availability--in schools with diverse student populations. The project will apply advanced automated scoring tools to students' written scientific arguments, provide individual students with customized feedback, and teachers with class-level information to assist them with improving scientific argumentation. The key outcome of this effort will be a technology-supported assessment model of how to advance the understanding of argumentation, and the use of multi-level feedback as a component of effective teaching and learning. The project will strengthen the program's current set of funded activities on assessment, focusing these efforts on students' argumentation as a complex science practice.

This design and development research targets high school students (n=1,940) and teachers (n=22) in up to 10 states over four years. The research questions are: (1) To what extent can automated scoring tools, such as c-rater and c-rater-ML, diagnose students' explanations and uncertainty articulations as compared to human diagnosis?; (2) How should feedback be designed and delivered to help students improve scientific argumentation?; (3) How do teachers use and interact with class-level automated scores and feedback to support students' scientific argumentation with real-data and models?; and (4) How do students perceive their overall experience with the automated scores and immediate feedback when learning core ideas in climate change and fresh-water availability topics through scientific argumentation enhanced with modeling? In Years 1 and 2, plans are to conduct feasibility studies to build automated scoring models and design feedback for previously tested assessments for the two curriculum units. In Year 3, the project will implement design studies in order to identify effective feedback through random assignment. In Year 4, a pilot study will investigate if effective feedback should be offered with or without scores. The project will employ a mixed-methods approach. Data-gathering strategies will include classroom observations; screencast and log data of teachers' and students' interaction with automated feedback; teachers' and students' surveys with selected- and open-ended questions; and in-depth interviews with teachers and students. All constructed-response explanations and uncertainty items will be scored using automated scoring engines with fine-grained rubrics. Data analysis strategies will include multiple criteria to evaluate the quality of automated scores; descriptive statistical abalyses; analysis of variance to investigate differences in outcomes from the designed studies' pre/posttests and embedded assessments; analysis of covariance to investigate student learning trajectories; two-level hierarchical linear modeling to study the clustering of students within a class; and analysis of screencasts and log data.

GRIDS: Graphing Research on Inquiry with Data in Science

The Graphing Research on Inquiry with Data in Science (GRIDS) project will investigate strategies to improve middle school students' science learning by focusing on student ability to interpret and use graphs. GRIDS will undertake a comprehensive program to address the need for improved graph comprehension. The project will create, study, and disseminate technology-based assessments, technologies that aid graph interpretation, instructional designs, professional development, and learning materials.

Award Number: 
1418423
Funding Period: 
Mon, 09/01/2014 to Sat, 08/31/2019
Full Description: 

The Graphing Research on Inquiry with Data in Science (GRIDS) project is a four-year full design and development proposal, addressing the learning strand, submitted to the DR K-12 program at the NSF. GRIDS will investigate strategies to improve middle school students' science learning by focusing on student ability to interpret and use graphs. In middle school math, students typically graph only linear functions and rarely encounter features used in science, such as units, scientific notation, non-integer values, noise, cycles, and exponentials. Science teachers rarely teach about the graph features needed in science, so students are left to learn science without recourse to what is inarguably a key tool in learning and doing science. GRIDS will undertake a comprehensive program to address the need for improved graph comprehension. The project will create, study, and disseminate technology-based assessments, technologies that aid graph interpretation, instructional designs, professional development, and learning materials.

GRIDS will start by developing the GRIDS Graphing Inventory (GGI), an online, research-based measure of graphing skills that are relevant to middle school science. The project will address gaps revealed by the GGI by designing instructional activities that feature powerful digital technologies including automated guidance based on analysis of student generated graphs and student writing about graphs. These materials will be tested in classroom comparison studies using the GGI to assess both annual and longitudinal progress. Approximately 30 teachers selected from 10 public middle schools will participate in the project, along with approximately 4,000 students in their classrooms. A series of design studies will be conducted to create and test ten units of study and associated assessments, and a minimum of 30 comparison studies will be conducted to optimize instructional strategies. The comparison studies will include a minimum of 5 experiments per term, each with 6 teachers and their 600-800 students. The project will develop supports for teachers to guide students to use graphs and science knowledge to deepen understanding, and to develop agency and identity as science learners.

From Elementary Generalist to Mathematics Specialist: Examining Teacher Practice and Student Outcomes in Departmental and Self-Contained Models

This research investigates student mathematics learning outcomes at the elementary level in relation to teacher expertise (elementary teachers with math specialist certification versus generally prepared elementary teachers) and school organization (departmentalized versus self-contained mathematics classrooms). Findings will provide evidence of the impact of content-specific teacher expertise and a departmentalized school organizational model that offers students access to well-qualified teachers of mathematics with no additional staffing costs.

Lead Organization(s): 
Award Number: 
1414438
Funding Period: 
Fri, 08/01/2014 to Tue, 07/31/2018
Full Description: 

This research investigates student mathematics learning outcomes at the elementary level in relation to teacher expertise (elementary teachers with math specialist certification versus generally prepared elementary teachers) and school organization (departmentalized versus self-contained mathematics classrooms). University of Missouri researchers will organize and facilitate the research in multiple Missouri public and private school sites. Findings will provide evidence of the impact of content-specific teacher expertise and a departmentalized school organizational model that offers students access to well-qualified teachers of mathematics with no additional staffing costs. To investigate the impact of teacher expertise and school organization on student learning experimental, quasi-experimental, and qualitative designs are employed. Specifically, 80 teachers who have earned state certification as Elementary Mathematics Specialists (hereafter, "EMS teachers") will be selected to participate in the study. Employing a randomized experimental design, half of the EMS teachers will be assigned to teach in a departmental model (Condition 1) in their school, teaching two or more sections of grade 4 mathematics. The other half will remain in generalist (hereafter, self-contained) positions (Condition 2) in their school, teaching all regular subjects to a single class of students. A comparison group of 40 non-EMS teachers with self-contained teaching assignments (Condition 3) will be selected from the same schools in Condition 2. The Smarter Balanced assessment will provide a baseline measure of students' prior achievement in grade 3 and also a measure of the mathematics achievement of grade 4 students taught by the 120 teachers in the study. The project team will analyze student-level mathematics scores linked with specific teachers.

Improving student achievement in mathematics at the elementary level is particularly challenging due to the way elementary students are generally organized for instruction (e.g., one teacher responsible for teaching all subjects to 25-30 students). Because elementary teachers must be knowledgeable about many content areas, they rarely study mathematics in depth, even though there is a growing body of evidence showing the impact of specialized mathematical knowledge for teaching on student learning outcomes. This study carefully researches an alternative model, where elementary teachers with special training in mathematics teaching and learning are assigned more than one single class of students for mathematics instruction. Findings from the research will provide evidence about the impact of both certification as an elementary mathematics specialist and teaching in a departmental assignment on student learning. The results will help school and district leaders better plan for assignment of staff to provide all students with access to high quality mathematics instruction.

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