Mathematics

The Developmental Emergence and Consequences of Spatial and Math Gender Stereotypes

This project will investigate the development and emergence of spatial gender stereotypes (and their relation to math gender stereotypes) in elementary school-aged children and their impact on parent-child interactions in the pre-school period.

Lead Organization(s): 
Award Number: 
1920732
Funding Period: 
Thu, 08/01/2019 to Sun, 07/31/2022
Full Description: 

There is currently a gender gap in STEM fields, such that females participate at lower rates and have lower career attainment than their male counterparts. While much research has focused on gender differences in math attitudes, little work has explored how attitudes in a closely related STEM domain, spatial reasoning, may also contribute to the observed gender gap. The proposed research will characterize the acquisition of gender stereotypes in childhood in two key domains critical to success and participation in STEM fields: math and spatial skills. Recent evidence suggests that children acquire math gender stereotypes (i.e., the belief that "math is for boys") as early as 1st - 2nd grades, but less is known about children's attitudes about spatial abilities. This project will be one of the first to investigate the development and emergence of spatial gender stereotypes (and their relation to math gender stereotypes) in elementary school-aged children, and their impact on parent-child interactions in the pre-school period.

Eight behavioral studies involving 1290 children (Pre-K - 4th graders), 240 caregivers, and 180 adults will participate in studies that evaluate an integrated theoretical model of the relations between gender, gender stereotypes, attitudes, and abilities in the domains of math and space. In Series 1, studies will characterize the emergence of and assumptions behind spatial- and math- gender stereotypes in 1st - 4th graders, while determining how they may be acquired. In Series 2, studies will explore the real-world impacts of spatial-gender stereotypes on STEM participation and achievement in childhood. Lastly, Series 3 studies will explore the malleability of these stereotypes in the hopes of identifying ways to ameliorate their impact early in development. The project will provide training for doctoral graduate and undergraduate students. Moreover, this project will support new and ongoing collaborations with local children's museums, which facilitate interactions and communication with families, educators, and the public about the research findings. By being some of the first work to uncover the developmental origins and consequences of math and spatial stereotypes, this work may inform possible future interventions to reduce and/or eliminate the perpetuation of these stereotypes in children, long before they can have greater lifelong impacts.

Early Emergence of Socioeconomic Disparities in Mathematical Understanding

This study will provide foundational knowledge about the activities and interactions in the home environment that drive the early emergence of math skills disparities related to SES.

Project Email: 
Lead Organization(s): 
Award Number: 
1920545
Funding Period: 
Sun, 09/01/2019 to Wed, 08/31/2022
Project Evaluator: 
Full Description: 

The math skills of children from high income families have grown faster than those of children from middle- or low-income families resulting in a significant and persistent gap. These disparities emerge in preschool and are larger by the start of kindergarten. As children progress through school, the gap in math skills persists or even widens. Importantly, SES-related disparities in math skills have implications for long-term academic achievement and educational attainment, as well as access to STEM education and professions in adulthood. As such, there is an urgent need to identify the factors shaping early math development before children start formal schooling. This investigation will provide foundational knowledge about the activities and interactions in the home environment that drive the early emergence of math skills disparities related to SES. In the long term, findings from this work could inform home visitation programs and early care and education curricula aimed at strengthening the early math skills of children living in low resourced communities. The knowledge generated by this study has the potential to enhance equity in access to STEM education and professions for all children.

Using a longitudinal sequential study of two cohorts of socioeconomically diverse 30-month-olds (N = 320) and their parents, the proposed study will strengthen knowledge of the etiology of SES disparities in math skills by addressing three aims. First, it will examine associations between the home learning environment (HLE) and early math skills. Second, it will describe SES disparities in HLE and their implications for math learning. Third, it will test family stress and family culture as pathways through which SES shapes HLE and early math skills. Children will complete assessments of early math skills and other general cognitive abilities at age 30 months and again around 42-47 months. In addition to the child assessments at 30 months, in-home structured observations with a parent, parent surveys, and time diaries will measure the quantity and quality of children's opportunities for math learning at home. To measure family stress, parents will complete questionnaires assessing general stress as well as stress specifically related to performing and teaching math. To measure family culture, parents will complete questionnaires assessing their general and math-specific parenting beliefs and observations of family interactions will be conducted. This study will test whether domain-general and math-specific family stress and culture mediate the relation between HLE and SES. In sum, this study will make contributions to understanding the early emergence of economic disparities in early math skills. Theoretically, it will delineate whether domain-general or math-specific differences in HLE explain disparities in early math skills related to socioeconomic status. It will advance research by concurrently considering the roles of stress and culture in shaping disparities in children's opportunity to learn math in their early home environments. This project is funded by the EHR Core Research program, which emphasizes STEM education research that will generate foundational knowledge in the field.

Alternative video text
Alternative video text: 

Design and Implementation of Immersive Representations of Practice

This project will address the potential positive and negative impacts of using 360-degree video for bridging the gap between theory and practice in mathematics instruction by investigating how preservice teachers' tacit and explicit professional knowledge are facilitated using immersive video technology and annotations.

Lead Organization(s): 
Award Number: 
1908159
Funding Period: 
Sun, 09/01/2019 to Wed, 08/31/2022
Full Description: 

Various researchers have documented that a large proportion of preservice teachers (PSTs) demonstrate less sophisticated professional knowledge for teaching both fractions and multiplication/division. Use of representations of practice (i.e., video, animation), and accompanying annotation technology, are effective in improving such professional knowledge, but PSTs continue to demonstrate a lack of precision in attending to or noticing particular mathematics in classroom scenarios. Fortunately, a new technology, 360-degree video, has emerged as a means of training novices for professional practice. This project will address the potential positive and negative impacts of using 360-degree video for bridging the gap between theory and practice in mathematics instruction. Specifically, PSTs demonstrate difficulty in synthesizing explicit knowledge learned in the college classroom with tacit professional knowledge situated in professional practice. The initial pilot of the technology resulted in PSTs demonstrating specific attention to the mathematics. The purpose of the project will be to investigate how PSTs' tacit and explicit professional knowledge are facilitated using immersive video technology and annotations (technologically embedded scaffolds). To do this, the project will examine where and what PSTs attend to when viewing 360-degree videos, both at a single point in the classroom and through incorporating multiple camera-perspectives in the same class. Additionally, the project will examine the role of annotation technology as applied to 360-degree video and the potential for variations in annotation technology. Findings will allow for an improved understanding of how teacher educators may support PSTs' tacit and explicit knowledge for teaching. The project will make video experiences publicly available and the platform used in the project to create these video experiences for teacher educators to use, create, and share 360-degree video experiences.

The project will examine how representations of practice can facilitate preservice teachers' professional knowledge for teaching fractions and multiplication/division. The project will: examine the effect of single versus multiple perspective in PSTs' professional knowledge; examine how PSTs use annotation technology in immersive video experiences, and its effect on PSTs' professional knowledge for teaching fractions and multiplication/division; and design a platform for teacher educators to create their own 360 video immersive experiences. Using an iterative design study process, the project team will develop and pilot single and multi-perspective 360-degree video experiences in grade 3-5 classrooms including developing a computer program to join multiple 360-degree videos. They will also develop an annotation tool to allow PSTs to annotate the single and multi-perspective 360 video experiences. Using a convergent mixed methods design, the project team will analyze the quantitative data using multiple regressions of pre-post data on mathematical knowledge for teaching and survey data on PSTs reported immersion and presence in viewing the videos to compare single and multi-perspective 360-degree video data. They will also qualitatively analyze heat maps generated from eye tracking, written responses from PSTs' noticing prompts, and field notes from implementation to examine the effect of single versus multiple perspectives. The team will use similar methods to examine how PSTs use the annotation technology and its effect. The results of the research and the platform will be widely disseminated.

Fusing Equity and Whole-School STEM Models: A Conference Proposal

This project will plan, implement, and evaluate the outcomes of an invitational conference on the role of equity in whole-school STEM education models, particularly Inclusive STEM Schools (ISS), at the high school level.

Lead Organization(s): 
Award Number: 
1907751
Funding Period: 
Thu, 08/01/2019 to Fri, 07/31/2020
Full Description: 

Interest in whole-school STEM education models is rapidly expanding in the United States, but there is limited agreement on the essential features of effective STEM schools and a limited research base on effective practices. There are also concerns regarding equity issues associated with whole-school STEM models. This project will address these issues by planning, implementing, and evaluating the outcomes of an invitational conference on the role of equity in whole-school STEM education models, particularly Inclusive STEM Schools (ISS), at the high school level. The conference will include 25 invited participants who have expertise as researchers or practitioners in equity issues or whole-school STEM reform efforts. These participants will discuss how to: 1) Create a collective understanding among a community of stakeholders regarding the role of equity in whole-school STEM models, 2) Map, synthesize, and report the terrain of existing research around the role of equity in whole-school STEM and non-STEM models including both strengths and gaps in the research base, and 3) Identify central issues and questions that can guide future research in order to prioritize these topics and initiate productive collaborations among participants to pursue answers to critical questions. These discussions will result in two key outcomes: 1) A practitioner centered logic model that integrates equity into the design and implementation of STEM at the whole-school level, and 2) A research model that supports building an empirical understanding of the intersection between equity and whole-school STEM programs.

There are various models of STEM-centered schools, with the most significant difference across models being the enrollment criteria. This project will focus on Inclusive STEM Schools which have open enrollment and provide paths for all students to advanced learning or careers in STEM fields. Federal initiatives have promoted and supported expansion of these schools, but there is little research on the impacts of these schools, and even less research on the role of equity considerations on the design and implementation of these schools. This project will address the limited research base by focusing specifically on culturally relevant and culturally responsive programing for inclusive STEM schools and initiating a research agenda on the role of equity in designing inclusive STEM programs. The project will seek to identify effective practices, and document outcomes on diverse populations.

Human Variance and Assessment for Learning Implications for Diverse Learners of STEM: A National Conference

The conference will attract thought leaders, policy makers, supervisors of practice and scholars of measurement science to be informed of emerging thought and developments and to discuss selected models for the implementation of new ways of generating and utilizing data from education tests.

Lead Organization(s): 
Award Number: 
1939192
Funding Period: 
Sun, 09/01/2019 to Mon, 08/31/2020
Full Description: 

The conference purpose is to stimulate a national conversation concerning the relationships between assessment, teaching and learning that include scholarly research and development of tests; members of city and state boards of education; officials from states and major school systems; policymakers; and representatives of teachers' associations and parents' associations. This conference aims to attract these important professionals has important co-sponsors like the Urban Institute. This national conference flows from the work of the Gordon Commission on the Future of Assessment for Education that addressed the advancement of achievement in STEM disciplines (PreK-12) for students who are underrepresented among high achieving students. This issue of advancement of underrepresented high achieving students has received little concentrated effort and a conference would help in providing greater understanding of this special concern, which includes a student in poverty in complexed family structures.

The conference will attract thought leaders, policy makers, supervisors of practice and scholars of measurement science to be informed of emerging thought and developments and to discuss selected models for the implementation of new ways of generating and utilizing data from education tests. The conference will stimulate national conversation and ultimately a market that demands educational assessments that inform and improve teaching and learning transactions. The conference will be organized around four conceptual and theoretical papers that focus on the knowledge base upon which six concurrent workshops will be based. The four papers are: (1) Human Diversity and Assessment; (2) The Limits of Test Bias and Its Corrections; (3) Towards an Assessment Science Capable of Informing and Improving Learning; and  (4) Assessment in the Service of Learning. The workshops will focus on models of pedagogical practice that show promise for informing and improving teaching and learning processes and their outcomes. These issues will be discussed by 11-15 expert presenters who understand student learning and the types of information gleaned from different types of assessments. The attention to URMs and their needs and contexts are prioritized in discussions surrounding measurement science and the integration of assessment. Several important issues that address understanding of student learning, and the relationship between the varieties of information concerning students that can be accessed through assessments are: (1) The importance of the broader and more productive use of educational testing to improve the learning of STEM subject matter and values; (2) Curriculum embedded assessment and the reduction in disparities in achievement by STEM learners from diverse social divisions; (3) Innovative procedures and programs for the use of data concerning learners and teaching and learning transactions in the teaching and learning of STEM with learners who are underrepresented among high achieving STEM learners.

STEM for All Collaboratory: Accelerating Dissemination and Fostering Collaborations for STEM Educational Research and Development

This project will capitalize on the STEM for All Video Showcase and extend its impact by creating a STEM for All Multiplex. The Multiplex will draw on past and future Video Showcase videos to create a multimedia environment for professional and public exchange, as well as to provide a way for anyone to search the growing database of videos, create thematic playlists, and re-use the content in new educational and research contexts.

Lead Organization(s): 
Award Number: 
1922641
Funding Period: 
Sun, 09/01/2019 to Wed, 08/31/2022
Full Description: 

The STEM for All Collaboratory will advance educational research and development through the creation and facilitation of two related and interactive platforms: the STEM for All Video Showcase, and the STEM for All Multiplex. The Video Showcase provides an annual, online, week-long, interactive event where hundreds of educational researchers and developers create, share, and discuss 3-minute videos of their federally funded work to improve Science, Mathematics, Engineering, Technology and Computer Science education. Several years of successful Video Showcases have contributed to a rich database of videos showcasing innovative approaches to STEM education. To capitalize on the growing resource and extend its impact, this project will create a STEM for All Multiplex, a unique contribution to STEM education. The Multiplex will draw on past and future Video Showcase videos to create a multimedia environment for professional and public exchange, as well as to provide a way for anyone to search the growing database of videos, create thematic playlists, and re-use the content in new educational and research contexts. The Multiplex will host interactive, monthly, thematic online events related to emerging research and practices to improve STEM and Computer Science education in formal and informal environments. Each thematic event will include selected video presentations, expert panels, resources, interactive discussions and a synthesis of lessons learned. All events will be accessible and open to the public. The project will continue to host and facilitate the annual Video Showcase event which has attracted over 70,000 people from over 180 countries over the course of a year. This effort will be guided by a collaboration with NSF resource centers, learning networks, and STEM professional organizations, and will advance the STEM research and education missions of the 11 collaborating organizations.

The Video Showcase and the Multiplex will foster increased dissemination of federally funded work and will effectively share NSF's investments aimed at improving STEM education. It will enable presenters to learn with and from each other, offering and receiving feedback, critique, and queries that will improve work in progress and to facilitate new collaborations for educational research. It will connect researchers with practitioners, enabling both groups to benefit from each other's knowledge and perspective. Further, it will connect seasoned investigators with aspiring investigators from diverse backgrounds, including those from Minority Serving Institutions. It will thereby enable new researchers to broaden their knowledge of currently funded efforts while also providing them with the opportunity to discuss resources, methodology and impact measures with the investigators. Hence, the project has the potential to broaden the future pool of investigators in STEM educational research. This work will further contribute to the STEM education field through its research on the ways that this multimedia environment can improve currently funded projects, catalyze new efforts and collaborations, build the capacity of emerging diverse leadership, and connect research and practice.

Strengthening STEM Teaching in Native American Serving Schools through Long-Term, Culturally Responsive Professional Development

This project will explore how a nationally implemented professional development model is applied in two distinct Indigenous communities, the impact the model has on teacher practice in Native-serving classrooms, and the model's capacity to promote the integration of culturally responsive approaches to STEM teaching.

Project Email: 
Lead Organization(s): 
Award Number: 
1908464
Funding Period: 
Sun, 09/01/2019 to Thu, 08/31/2023
Full Description: 

Although there is a long-established body of knowledge about effective professional development for STEM teachers, very little of it has been applied and studied with teachers in Native American-serving school districts. This project will explore how a nationally implemented professional development model is applied in two distinct Indigenous communities, the impact the model has on teacher practice in Native-serving classrooms, and the model's capacity to promote the integration of culturally responsive approaches to STEM teaching. This project will substantially grow the data and knowledge available within this unique context, which is critical given the persistent gaps in educational achievement and STEM career participation among Indigenous people in the U.S. K-12 teachers will participate in an 8-month cohort designed to increase their STEM content knowledge and facilitate their efforts to develop academically rigorous, culturally responsive STEM instructional units for use in their classrooms. The project will add to our knowledge about the transferability of a nationally-implemented professional development model within two specific Indigenous contexts, and it will grow our knowledge about how STEM professional development impacts teacher practice. Finally, the project will provide concrete examples and knowledge about the ways culturally responsive approaches to STEM professional development, curriculum development, and teacher practice are taken up in two distinct Native-student-serving contexts.

This project includes the development and implementation of professional development that is long-term, teacher-driven, collaborative across grade levels and content areas, and facilitated by university faculty with STEM expertise. The research will follow a collective case study methodology in order to establish a robust and nuanced understanding of (1) how a national professional development model operates within two specific and distinct Indigenous contexts; (2) how a professional development model impacts teachers' STEM instructional practice in Native-serving schools; and (3) how teachers in Native-serving schools engage culturally responsive approaches to STEM curriculum development and STEM instructional practice. Data will include interviews and focus groups with participating teachers, university faculty, and other stakeholders, classroom observations and "Scoop Notebook" artifacts of teacher practice, and the teacher-developed STEM instructional units. Data will be iteratively coded with a combination of open and focused coding using a constant comparative method with a specific emphasis on identifying the culturally responsive elements present across the data sources. Individual and cross-case comparisons will be conducted to reveal broader themes that address the research questions. Results and products will be disseminated to researchers, practitioners, and community members through peer-reviewed publications, conference presentations, annual partnership meetings, and posting of the teacher developed instructional units to a web-based, freely accessible clearing house.

Third National Conference on Doctoral Programs in Mathematics Education

Award Number: 
1932697
Funding Period: 
Thu, 08/01/2019 to Sat, 07/31/2021
Full Description: 

The Third National Conference on Doctoral Programs in Mathematics Education will bring together a group of faculty members in mathematics education from a range of institutions that currently graduate doctorates in mathematics education. The conference participants will learn about current issues that impact doctoral programs and they will have the opportunity to leverage common strengths to make improvements to their individual programs. The conference will focus on two goals: (1) articulate and update principles related to high-quality doctoral programs in mathematics education; and (2) identify and disseminate information about specific doctoral programs specializations in mathematics education. The conference will share the products with a range of audiences in mathematics, mathematics education, teacher education, and educational research.

The products for the conference include: (1) an updated Principles to Guide the Design and Implementation of Doctoral Programs in Mathematics Education document which will be available in the website of pertinent professional associations; and (2) a mechanism for institutions and future doctoral students to search and connect with different program specializations. The project will organize more than 100 participants in working groups around the two goals during the conference. The working groups will have the opportunity to continue the work in subsequent meetings to collaborate on the products.

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

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: 
1906588
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: 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.

Pages

Subscribe to Mathematics