Quasi-experimental

Measuring Early Mathematical Reasoning Skills: Developing Tests of Numeric Relational Reasoning and Spatial Reasoning

The primary aim of this study is to develop mathematics screening assessment tools for Grades K-2 over the course of four years that measure students' abilities in numeric relational reasoning and spatial reasoning. The team of researchers will develop Measures of Mathematical Reasoning Skills system, which will contain Tests of Numeric Relational Reasoning (T-NRR) and Tests of Spatial Reasoning (T-SR).

Award Number: 
1721100
Funding Period: 
Fri, 09/15/2017 to Tue, 08/31/2021
Full Description: 

Numeric relational reasoning and spatial reasoning are critical to success in later mathematics coursework, including Algebra 1, a gatekeeper to success at the post-secondary level, and success in additional STEM domains, such as chemistry, geology, biology, and engineering. Given the importance of these skills for later success, it is imperative that there are high-quality screening tools available to identify students at-risk for difficulty in these areas. The primary aim of this study is to develop mathematics screening assessment tools for Grades K-2 over the course of four years that measure students' abilities in numeric relational reasoning and spatial reasoning. The team of researchers will develop Measures of Mathematical Reasoning Skills system, which will contain Tests of Numeric Relational Reasoning (T-NRR) and Tests of Spatial Reasoning (T-SR). The measures will be intended for use by teachers and school systems to screen students to determine who is at-risk for difficulty in early mathematics, including students with disabilities. The measures will help provide important information about the intensity of support that may be needed for a given student. Three forms per grade level will be developed for both the T-NRR and T-SR with accompanying validity and reliability evidence collected. 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 development of the T-NRR and T-SR measures will follow an iterative process across five phases. The phases include (1) refining the construct; (2) developing test specifications and item models; (3) developing items; (4) field testing the items; and (5) conducting validity studies. The evidence collected and evaluated during each phase will contribute to the overall evaluation of the reliability of the measures and the validity of the interpretations made using the measures. Item models, test specifications, and item development will be continuously evaluated and refined based on data from cognitive interviews, field tests, and reviews by mathematics educators, teachers of struggling students, teachers of culturally and linguistically diverse populations, and a Technical Advisory Board. In the final phase of development of the T-NRR and T-SR, reliability of the results will be estimated and multiple sources of validity evidence will be collected to examine the concurrent and predictive relation with other criterion measures, classification accuracy, and sensitivity to growth. Approximately 4,500 students in Grades K-2 will be involved in all phases of the research including field tests and cognitive interviews. Data will be analyzed using a two-parameter IRT model to ensure item and test form comparability.


Project Videos

2020 STEM for All Video Showcase

Title: Measuring Early Mathematical Reasoning Skills

Presenter(s): Leanne Ketterlin Geller


Engaging Students in Scientific Practices: Evaluating Evidence and Explanation in Secondary Earth and Space Science

This project will develop, implement, test, and revise instructional approaches and materials for high school students that focus on the links between scientific evidence and alternative explanations of phenomena relating to Earth and space education. Students will learn to construct diagrams showing the links between explanatory models of natural phenomena and lines of evidence, and then evaluate the plausibility of various alternative explanations for events.

Award Number: 
2027376
Funding Period: 
Fri, 09/01/2017 to Tue, 08/31/2021
Full Description: 

This project will develop, implement, test, and revise instructional approaches and materials for high school students that focus on the links between scientific evidence and alternative explanations of phenomena relating to Earth and space education. Students will examine alternative explanations for natural phenomena associated with extreme weather events, freshwater resource availability, and related topics in learning how to evaluate scientifically valid lines of evidence and explanation. Students will learn to construct diagrams showing the links between explanatory models of natural phenomena and lines of evidence, and then evaluate the plausibility of various alternative explanations for events. It is expected that engagement in these activities will help students gain proficiency in model-based reasoning, critical thinking, planning and analyzing scientifically valid investigations, constructing plausible explanations, engaging in collaborative argumentation, and critically evaluating scientific information.

This 4-year Design and Development project will examine use of Model-Evidence Link (MEL) diagrams that are intended to help students cognitively construct mental scaffolds that assist their engagement in the practices of critical evaluation, plausibility appraisal, and knowledge construction related to science topics that are considered by some as controversial. Prior research has demonstrated the potential educational outcomes of using MEL diagrams, but this project will extend the previous work by examining an approach where students construct their own MEL diagrams (build-a-MELs, or baMELs). The project will examine the use of both pre-constructed MELs and baMELs for effectiveness in promoting student engagement in scientific reasoning and practices. The project will employ design-based research methodologies in pursuing answers to three research questions: (1) Do baMEL activities tested in multiple high school classroom settings promote critical evaluation, plausibility reappraisal, and  scientifically accurate knowledge construction about controversial Earth and space science topics? (2) How do these additional baMELs differ from pre-constructed MELs in promoting critical evaluation, plausibility reappraisal, and knowledge construction? And (3) To what extent does repeated use of both pre-constructed MELs and baMELs result in student engagement of scientific practices (i.e., asking critical questions, using model-based reasoning, planning and analyzing scientifically valid investigations, constructing plausible explanations, engaging in collaborative argumentation, and critically evaluating scientific information)? The project will engage high school students taking Earth and space classes in selected schools of Georgia, New Jersey, and within Philadelphia. Teacher professional development opportunities associated with the project will include summer institutes, classroom supports, and mentoring sessions.

This project was previously funded under award #1721041.

Exploring the Potential of Tablets as Early Math Resources for Urban Kindergarteners in Schools and Homes

This project will examine the impact on mathematics learning of an initiative to provide kindergartners in an urban school district with personal tablet devices that include free, widely available digital mathematics resources. The research questions examine how teachers use table-based mathematics resources during instruction, how caregivers and children engage with table-based mathematics resources, and how the resources then relate to kindergartners mathematics learning.

Lead Organization(s): 
Award Number: 
1744202
Funding Period: 
Tue, 08/01/2017 to Tue, 07/31/2018
Full Description: 

This project will examine the impact on mathematics learning of an initiative to provide kindergartners in an urban school district with personal tablet devices that include free, widely available digital mathematics resources. An important question for schools as tablet devices become more accessible is how to effectively use them in primary grades, especially kindergarten. In addition, since the devices are portable, how children use the resources such as games for mathematics learning at home is also important to understand. This project is set in a high-needs school district with a large number of low-income children. The project provides an opportunity to learn about the potential role of tables and digital resources in early grades through the analysis of assessment data, user analytic data documenting how the resources were used, and survey data from teachers and families.

Most studies of digital learning resources have been small-scale or focused on engagement. This study offers the opportunity to investigate the relationship between the use of these resources and learning outcomes using a quasi-experimental design. The research questions examine how teachers use table-based mathematics resources during instruction, how caregivers and children engage with table-based mathematics resources and how the resources then relate to kindergartners mathematics learning. Assessments of students' learning will focus on number, geometry and measurement concepts. The learner analytic data from the tablets will document the use of the resources on the tablets. Surveys and demographic data will also be collected to document how the tablets were used. Results of the study should inform implementation of tablet use by schools with particular attention to how they are used across in-class and at-home settings.

Project Accelerate: University-High School AP Physics Partnerships

Project Accelerate blends the supportive structures of a student's home school, a rigorous online course designed specifically with the needs of under-served populations in mind, and hands-on laboratory experiences, to make AP Physics accessible to under-served students. The project could potentially lead to the success of motivated but under-served students who attend schools where the opportunity to engage in a rigorous STEM curriculum is not available.

Lead Organization(s): 
Award Number: 
1720914
Funding Period: 
Tue, 08/01/2017 to Fri, 07/31/2020
Full Description: 

Project Accelerate brings AP Physics 1 and, eventually, AP Physics 2 to students attending schools that do not offer AP Physics. The project will enable 249 students (mostly under-served, i.e., economically disadvantaged, ethnic minorities and racial minorities) to enroll in AP Physics - the students would otherwise not have access. These students either prepare for the AP Physics 1 exam by completing a highly interactive, conceptually rich, rigorous online course, complete with virtual lab experiments, or participate in an accredited AP course that also includes weekly hands-on labs. In this project, the model will be tested and perfected with more students and expanded to AP Physics 2. Further, model replication will be tested at an additional site, beyond the two pilot sites. In the first pilot year in Massachusetts at Boston University, results indicated that students fully engaged in Project Accelerate are (1) at least as well prepared as peer groups in traditional classrooms to succeed on the AP Physics 1 exam and (2) more inclined to engage in additional STEM programs and to pursue STEM fields and programs than they were prior to participating. In the second year of the pilot study, Project Accelerate doubled in size and expanded in partnership with West Virginia University. From lessons learned in the pilot years, key changes are being made, which are expected to increase success. Project Accelerate provides a potential solution to a significant national problem of too few under-served young people having access to high quality physics education, often resulting in these students being ill prepared to enter STEM careers and programs in college. Project Accelerate is a scalable model to empower these students to achieve STEM success, replicable at sites across the country (not only in physics, but potentially across fourteen AP subjects). The project could potentially lead to the success of tens of thousands of motivated but under-served students who attend schools where the opportunity to engage in a rigorous STEM curriculum is not available.

Project Accelerate blends the supportive structures of a student's home school, a private online course designed specifically with the needs of under-served populations in mind, and hands-on laboratory experiences, to make AP Physics accessible to under-served students. The goals of the project are: 1) have an additional 249 students, over three years, complete the College Board-accredited AP Physics 1 course or the AP Physics 1 Preparatory course; 2) add an additional replication site, with a total of three universities participating by the end of the project; 3) develop formal protocols so Project Accelerate can be replicated easily and with fidelity at sites across the nation; 4) develop formal protocols so the project can be self-sustaining at a reasonable cost (about $500 per student participant); 5) build an AP Physics 2 course, giving students who come through AP Physics 1 a second year of rigorous experience to help further prepare them for college and career success; 6) create additional rich interactive content, such as simulations and video-based experiments, to add to what is already in the AP Physics 1 prep course and to build the AP Physics 2 prep course - the key is to actively engage students with the material and include scaffolding to support the targeted population; 7) carry out qualitative and quantitative education research, identifying features of the program that work for the target population, as well as identifying areas for improvement. This project will support the growing body of research on the effectiveness of online and blended (combining online and in-person components) courses, and investigate the use of such courses with under-represented high school students.

Science and Engineering Education for Infrastructure Transformation

This project focuses on the research and develop an engineering education technology and pedagogy that will support project-based learning of science, engineering, and computation concepts and skills underlying the strategically important "smart" and "green" aspects of the infrastructure. The project will develop transformative technologies and curriculum materials to turn the campus of a high school or a geographical information system such as Google Maps into an engineering laboratory with virtually unlimited opportunities for learning and exploration.

Lead Organization(s): 
Partner Organization(s): 
Award Number: 
1721054
Funding Period: 
Sun, 10/01/2017 to Thu, 09/30/2021
Full Description: 

The Concord Consortium in collaboration with Purdue University will research and develop an engineering education technology and pedagogy that will support project-based learning of science, engineering, and computation concepts and skills underlying the strategically important "smart" and "green" aspects of the infrastructure. This project will develop transformative technologies and curriculum materials to turn the campus of a high school or a geographical information system such as Google Maps into an engineering laboratory with virtually unlimited opportunities for learning and exploration. The project will deliver two innovations: 1) The Smart High School is an engineering platform for designing Internet of Things systems for managing the resources, space, and processes of a school based on real-time analysis of data collected by various sensors deployed by students on campus; and 2) the Virtual Solar World is a computational modeling platform for students to design, deploy, and connect virtual solar power solutions for their homes, schools, and regions. Six standards-aligned curriculum units based on these technologies will be developed to guide student learning and support educational research. Approximately 2,000 students from rural, suburban, and urban high schools in Indiana, Massachusetts, New Hampshire, and Ohio will participate in this research. project products and findings through the Internet, conferences, publications, and partner networks.

The research is designed to identify technology-enhanced instructional strategies that can simultaneously foster the growth of skills and self-efficacy in scientific reasoning, design thinking, and computational thinking, all of which are needed to build the future infrastructure. The focus on infrastructure transformation is aligned with NSF's vision of smart and connected communities. Although this project will use the context of smart and green infrastructure to engage students to solve real-world problems, the skills of scientific reasoning, design thinking, and computational thinking that they will acquire through meeting the challenges of this project can be transferrable to other topics and fields. Using a design-based research approach, a rich set of formative and summative data will be collected from these students for probing into three research questions: 1) To what extent does the integrated learning model help students develop and connect scientific reasoning, design thinking, and computational thinking skills?; 2) To what extent is students' interest in cognate careers affected by the authenticity of engineering design challenges?; and 3) How do the variations in the solutions to overcome the cognitive and practical difficulties of real-world problems impact learning outcomes and career interest? The data sources include pre/post-tests, process data, self-reports, observations, surveys, interviews, and participant information.

Mobilizing Teachers to Increase Capacity and Broaden Women's Participation in Physics (Collaborative Research: Hazari)

This project assesses the impact of scaling-up the teaching of physics and engineering to women students in grade levels 11 and 12, particularly in reference to retention. The aim is to mobilize high school physics teachers to "attract and recruit" female students into physics and engineering careers. The project will advance physics identity research by testing research-based approaches/interventions with larger groups of teachers and connecting research to practice in ways that are both widely deployable and practical for teachers to implement.

Award Number: 
1721021
Funding Period: 
Mon, 05/15/2017 to Fri, 04/30/2021
Full Description: 

This project assesses the impact of scaling-up the teaching of physics and engineering to women students in grade levels 11 and 12, particularly in reference to retention. The problem of low participation of women in physics and engineering has been a topic of concern for decades. The persistent underrepresentation of women in physics and engineering is not just an equity issue but also reflects an unrealized talent pool that can help respond to current and future challenges faced by society. The aim is to mobilize high school physics teachers to "attract and recruit" female students into science (physics) and engineering careers. The fundamental issues that the project seeks is to affect increases in the number of females in physics and engineering careers using research-informed and field-tested classroom practices that improve female students' physics identity. The project will advance science (physics) identity research by testing research-based approaches/interventions with larger groups of teachers and connecting research to practice in ways that are both widely deployable and practical for teachers to implement. The project will also affect female participation in engineering since developing a physics identity is strongly related to choosing engineering. The core area teachers will be trained in addressing student identity as a physicist or engineer.

In this project, two research universities (Florida International University, Texas A&M-Commerce) and the two largest national organizations in physics (American Physical Society and American Association of Physics Teachers) will work together using approaches/interventions drawn from prior research results that will be tested with teachers in three states (24 teachers, 8 in each state) using an experimental design with control and treatment groups. The project proposes three phases: 1. Refine already established interventions for improving female physics identity for use on a massive national level which will be assessed through previously validated and reliable surveys and sound research design; 2. Launch a massive national campaign involving workshops, training modules, and mass communication approaches to reach and attempt to mobilize 16,000 of the 27,000 physics teachers nationwide to attract and recruit at least one female student to physics using the intervention approaches refines in phase 1 and other classroom approaches shown to improve female physics identity; and 3. Evaluate of the success of the campaign through surveys of high school physics teachers (subjective data) and data from the Higher Education Research Institute to monitor female student increases in freshmen declaring a physics major during the years following the campaign (objective data). The interventions will focus on developing female students' physics identity, a construct which has been found to be strongly related to career choice and persistence in physics. The project has the potential to reduce or eliminate the gender gap in the field of physics. In addition, the increase in female physics identity is likely to also increase female representation in engineering majors. Therefore, the work will lay the groundwork for adapting similar methods for increasing under-representation of females in other disciplines. The societies involved (American Physical Society and American Association of Physics Teachers) are uniquely positioned within the discipline to ensure a successful campaign of information dissemination to physics teachers nationally and under-representation of females in other disciplines as well, engineering specifically.

Mobilizing Teachers to Increase Capacity and Broaden Women's Participation in Physics (Collaborative Research: Lock)

This project assesses the impact of scaling-up the teaching of physics and engineering to women students in grade levels 11 and 12, particularly in reference to retention. The aim is to mobilize high school physics teachers to "attract and recruit" female students into physics and engineering careers. The project will advance physics identity research by testing research-based approaches/interventions with larger groups of teachers and connecting research to practice in ways that are both widely deployable and practical for teachers to implement.

Lead Organization(s): 
Award Number: 
1720917
Funding Period: 
Mon, 05/15/2017 to Fri, 04/30/2021
Full Description: 

This project assesses the impact of scaling-up the teaching of physics and engineering to women students in grade levels 11 and 12, particularly in reference to retention. The problem of low participation of women in physics and engineering has been a topic of concern for decades. The persistent underrepresentation of women in physics and engineering is not just an equity issue but also reflects an unrealized talent pool that can help respond to current and future challenges faced by society. The aim is to mobilize high school physics teachers to "attract and recruit" female students into science (physics) and engineering careers. The fundamental issues that the project seeks is to affect increases in the number of females in physics and engineering careers using research-informed and field-tested classroom practices that improve female students' physics identity. The project will advance science (physics) identity research by testing research-based approaches/interventions with larger groups of teachers and connecting research to practice in ways that are both widely deployable and practical for teachers to implement. The project will also affect female participation in engineering since developing a physics identity is strongly related to choosing engineering. The core area teachers will be trained in addressing student identity as a physicist or engineer.

In this project, two research universities (Florida International University, Texas A&M-Commerce) and the two largest national organizations in physics (American Physical Society and American Association of Physics Teachers) will work together using approaches/interventions drawn from prior research results that will be tested with teachers in three states (24 teachers, 8 in each state) using an experimental design with control and treatment groups. The project proposes three phases: 1. Refine already established interventions for improving female physics identity for use on a massive national level which will be assessed through previously validated and reliable surveys and sound research design; 2. Launch a massive national campaign involving workshops, training modules, and mass communication approaches to reach and attempt to mobilize 16,000 of the 27,000 physics teachers nationwide to attract and recruit at least one female student to physics using the intervention approaches refines in phase 1 and other classroom approaches shown to improve female physics identity; and 3. Evaluate of the success of the campaign through surveys of high school physics teachers (subjective data) and data from the Higher Education Research Institute to monitor female student increases in freshmen declaring a physics major during the years following the campaign (objective data). The interventions will focus on developing female students' physics identity, a construct which has been found to be strongly related to career choice and persistence in physics. The project has the potential to reduce or eliminate the gender gap in the field of physics. In addition, the increase in female physics identity is likely to also increase female representation in engineering majors. Therefore, the work will lay the groundwork for adapting similar methods for increasing under-representation of females in other disciplines. The societies involved (American Physical Society and American Association of Physics Teachers) are uniquely positioned within the discipline to ensure a successful campaign of information dissemination to physics teachers nationally and under-representation of females in other disciplines as well, engineering specifically.

Mobilizing Teachers to Increase Capacity and Broaden Women's Participation in Physics (Collaborative Research: Hodapp)

This project assesses the impact of scaling-up the teaching of physics and engineering to women students in grade levels 11 and 12, particularly in reference to retention. The aim is to mobilize high school physics teachers to "attract and recruit" female students into physics and engineering careers. The project will advance physics identity research by testing research-based approaches/interventions with larger groups of teachers and connecting research to practice in ways that are both widely deployable and practical for teachers to implement.

Lead Organization(s): 
Award Number: 
1720810
Funding Period: 
Mon, 05/15/2017 to Fri, 04/30/2021
Full Description: 

This project assesses the impact of scaling-up the teaching of physics and engineering to women students in grade levels 11 and 12, particularly in reference to retention. The problem of low participation of women in physics and engineering has been a topic of concern for decades. The persistent underrepresentation of women in physics and engineering is not just an equity issue but also reflects an unrealized talent pool that can help respond to current and future challenges faced by society. The aim is to mobilize high school physics teachers to "attract and recruit" female students into science (physics) and engineering careers. The fundamental issues that the project seeks is to affect increases in the number of females in physics and engineering careers using research-informed and field-tested classroom practices that improve female students' physics identity. The project will advance science (physics) identity research by testing research-based approaches/interventions with larger groups of teachers and connecting research to practice in ways that are both widely deployable and practical for teachers to implement. The project will also affect female participation in engineering since developing a physics identity is strongly related to choosing engineering. The core area teachers will be trained in addressing student identity as a physicist or engineer.

In this project, two research universities (Florida International University, Texas A&M-Commerce) and the two largest national organizations in physics (American Physical Society and American Association of Physics Teachers) will work together using approaches/interventions drawn from prior research results that will be tested with teachers in three states (24 teachers, 8 in each state) using an experimental design with control and treatment groups. The project proposes three phases: 1. Refine already established interventions for improving female physics identity for use on a massive national level which will be assessed through previously validated and reliable surveys and sound research design; 2. Launch a massive national campaign involving workshops, training modules, and mass communication approaches to reach and attempt to mobilize 16,000 of the 27,000 physics teachers nationwide to attract and recruit at least one female student to physics using the intervention approaches refines in phase 1 and other classroom approaches shown to improve female physics identity; and 3. Evaluate of the success of the campaign through surveys of high school physics teachers (subjective data) and data from the Higher Education Research Institute to monitor female student increases in freshmen declaring a physics major during the years following the campaign (objective data). The interventions will focus on developing female students' physics identity, a construct which has been found to be strongly related to career choice and persistence in physics. The project has the potential to reduce or eliminate the gender gap in the field of physics. In addition, the increase in female physics identity is likely to also increase female representation in engineering majors. Therefore, the work will lay the groundwork for adapting similar methods for increasing under-representation of females in other disciplines. The societies involved (American Physical Society and American Association of Physics Teachers) are uniquely positioned within the discipline to ensure a successful campaign of information dissemination to physics teachers nationally and under-representation of females in other disciplines as well, engineering specifically.

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

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

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

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

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

Algebra Project Mathematics Content and Pedagogy Initiative

This project will scale up, implement, and assess the efficacy of interventions in K-12 mathematics education based on the well-established Algebra Project (AP) pedagogical framework, which seeks to improve performance and participation in mathematics of students in distressed school districts, particularly low-income students from underserved populations.

Award Number: 
1749483
Funding Period: 
Thu, 09/15/2016 to Mon, 08/31/2020
Full Description: 

Algebra continues to serve as a gatekeeper and potential barrier for high school students. The Algebra Project Mathematics Content and Pedagogy Initiative (APMCPI) will scale up, implement and assess the efficacy of interventions in K-12 mathematics education based on the well-established Algebra Project (AP) pedagogical framework. The APMCPI project team is comprised of four HBCUs (Virginia State University, Dillard University, Xavier University, Lincoln University), the Southern Initiative Algebra Project (SIAP), and four school districts that are closely aligned with partner universities. The purpose of the Algebra Project is to improve performance and participation in mathematics by members of students in distressed school districts, particularly those with a large population of low-income students from underserved populations including African American and Hispanics. The project will provide professional development and implement the Algebra Project in four districts and study the impact on student learning. The research results will inform the nation's learning how to improve mathematics achievement for all children, particularly those in distressed inner-city school districts.

The study builds on a prior pilot project with a 74% increase in students who passed the state exam. In the early stages of this project, teachers in four districts closely associated with the four universities will receive Algebra Project professional development in Summer Teacher Institutes with ongoing support during the academic year, including a community development plan. The professional development is designed to help teachers combine mathematical problem solving with context-rich lessons, which both strengthen and integrate teachers' understanding of key concepts in mathematics so that they better engage their students. The project also will focus on helping teachers establish a framework for mathematically substantive, conceptually-rich and experientially-grounded conversations with students. The first year of the study will begin a longitudinal quasi-experimental, explanatory, mixed-method design. Over the course of the project, researchers will follow cohorts who are in grade-levels 5 through 12 in Year 1 to allow analyses across crucial transition periods - grades 5 to 6; grades 8 to 9; and grades 12 to college/workforce. Student and teacher data will be collected in September of Project Year 1, and in May of each project year, providing five data points for each student and teacher participant. Student data will include student attitude, belief, anxiety, and relationship to mathematics and science, in addition to student learning outcome measures. Teacher data will include content knowledge, attitudes and beliefs, and practices. Qualitative data will provide information on the implementation in both the experimental and control conditions. Analysis will include hierarchical linear modeling and multivariate analysis of covariance.

This project was previously funded under award #1621416.

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