Mathematics

Implementation and Efficacy Study of Preschool Math Activities for Numeracy

This project explores how teachers can use activities with young children to develop their knowledge of numbers and patterns. Part of the study examines how much guidance teachers should provide to students. The project also explores the design of resources that are the most likely to be used by preschool teachers and that can be easily incorporated into their teaching of young children.

Lead Organization(s): 
Award Number: 
2010547
Funding Period: 
Wed, 07/15/2020 to Sun, 06/30/2024
Full Description: 

Math games and play engage young children's interest in patterns, numbers and logic. In preschools, there is a critical need for math instruction and learning. Early childhood is an important point for children to learn about mathematics. Children's play-based activities provide natural opportunities for them to explore and learn math topics. This project explores how teachers can use activities with young children to develop their knowledge of numbers and patterns. Part of the study examines how much guidance teachers should provide to students. The project also explores the design of resources that are the most likely to be used by preschool teachers and that can be easily incorporated into their teaching of young children. The study of the use of play-based mathematics activities will support critical early learning of number concepts.

This project will investigate the implementation and efficacy of the preschool math games for mathematics learning. The research would study the materials as used in classrooms by teachers in order to understand how the materials improve early numeracy skills, and whether children's improvement is affected by how the activities are implemented in the classroom. The research questions for the study examine the role of the teacher in providing guidance to children when engaging in the numeracy activities and how the materials influence children's early numeracy skills. The study employs an experimental design to study different implementation pathways. The design would examine the impact of two different instructor types and two levels of guidance for the preschool students when using the activities. Data collected will include measures of children's mathematical knowledge and teachers' pedagogical self-efficacy and content knowledge.

Exploring COVID and the Effects on U.S. Education: Evidence from a National Survey of American Households

This study aims to understand parents' perspectives on the educational impacts of COVID-19 by leveraging a nationally representative, longitudinal study, the Understanding America Study (UAS). The study will track educational experiences during the summer of 2020 and into the 2020-21 school year and analyze outcomes overall and for key demographic groups of interest.

Award Number: 
2037179
Funding Period: 
Wed, 07/15/2020 to Wed, 06/30/2021
Full Description: 

The COVID-19 epidemic has been a tremendous disruption to the education of U.S. students and their families, and early evidence suggests that this disruption has been unequally felt across households by income and race/ethnicity. While other ongoing data collection efforts focus on understanding this disruption from the perspective of students or educators, less is known about the impact of COVID-19 on children's prek-12 educational experiences as reported by their parents, especially in STEM subjects. This study aims to understand parents' perspectives on the educational impacts of COVID-19 by leveraging a nationally representative, longitudinal study, the Understanding America Study (UAS). The study will track educational experiences during the summer of 2020 and into the 2020-21 school year and analyze outcomes overall and for key demographic groups of interest.

Since March of 2020, the UAS has been tracking the educational impacts of COVID-19 for a nationally representative sample of approximately 1,500 households with preK-12 children. Early results focused on quantifying the digital divide and documenting the receipt of important educational serviceslike free meals and special education servicesafter COVID-19 began. This project will support targeted administration of UAS questions to parents about students' learning experiences and engagement, overall and in STEM subjects, data analysis, and dissemination of results to key stakeholder groups. Findings will be reported overall and across key demographic groups including ethnicity, disability, urbanicity, and socioeconomic status. The grant will also support targeted research briefs addressing pressing policy questions aimed at supporting intervention strategies in states, districts, and schools moving forward. Widespread dissemination will take place through existing networks and in collaboration with other research projects focused on understanding the COVID-19 crisis. All cross-sectional and longitudinal UAS data files will be publicly available shortly after conclusion of administration so that other researchers can explore the correlates of, and outcomes associated with, COVID-19.

Enhancing Rational Number Instruction for Students with Math Disabilities and Difficulties: Designing Professional Development for Teachers Who Provide Math Intervention

The project will develop and study a professional development program focused on fraction for interventionists who work with grades four and five students with mathematics disabilities and difficulties.

Lead Organization(s): 
Award Number: 
2010038
Funding Period: 
Wed, 07/15/2020 to Sun, 06/30/2024
Full Description: 

The project will develop and study a professional development program focused on fraction for interventionists who work with grades four and five students with mathematics disabilities and difficulties. Mathematics interventions for students with mathematical disabilities are provided by a variety of educators in elementary schools including classroom teachers, special education teachers, mathematics specialists, and paraprofessionals. However, professional development and training to address the needs of students with mathematics disabilities and difficulties varies. This project addresses a need in elementary schools for improved fraction instruction and the professional development for interventionists who work with students. The project would create resources usable by other professional development projects for interventionists. The project will also provide guidance about professional development for other mathematics topics.

The professional development will be focused on fractions concepts, use interactive and hands-on methods for learning, and be relevant because fractions are a critical topic in upper elementary grades. The participants in the student are interventionists who work with grades 4 and 5 students. The project includes a design phase followed by a randomized controlled trial to measure teacher-level outcomes. Measures of instruction, student knowledge and teacher outcomes will be used to understand the promise of the intervention. Interventionist teaching practice and fractions knowledge will be used as the proximal outcomes and will be analyzed using ANCOVAs with the pretest measures serving as the covariates. For distal outcomes related to fourth- and fifth-grade students' fractions achievement, a multi-level model including students and interventionists will be used. As an early stage design and development project, the design is being tested in multiple districts in different states. The project relies on prior research about students' learning of fractions and related teaching approaches. The results should inform professional development for interventionists for students with mathematical disabilities and difficulties. The results also support understanding of professional development that develops teachers' knowledge of content and teaching practice simultaneously.

Creating a Model for Sustainable Ambitious Mathematics Programs in High-Need Settings: A Researcher-Practitioner Collaboration

This project will study a successful, ambitious mathematics reform effort in high-needs secondary schools. The goal is to develop resources and tools to support other high-needs schools and districts in transforming and sustaining  their mathematics programs. The model focuses on the resources required for change and the aspects of the organization that support or constrain change in mathematics teaching and learning.

Lead Organization(s): 
Award Number: 
2010111
Funding Period: 
Sat, 08/01/2020 to Wed, 07/31/2024
Full Description: 

A long-standing challenge in secondary mathematics education is broadening participation in STEM. Reform of schools and districts to support this goal can be challenging to sustain. This implementation and improvement project will study a successful, ambitious mathematics reform effort in high-needs secondary schools. The goal is to develop resources and tools to support other high-needs schools and districts in transforming and sustaining  their mathematics programs. The model focuses on the resources required for change and the aspects of the organization that support or constrain change in mathematics teaching and learning. The project team includes school district partners that have successfully transformed mathematics teaching to better support students' learning.

The project will develop a model for understanding the demands and resources from an organizational perspective that support ambitious mathematics teaching and learning reforms. Demands are requirements for physical resources or efforts that need to be met in the instructional system. Resources are the material, human, instructional, and organizational requirements needed to address demands. The project will develop the model through a collaboration of researchers, professional development leaders, students, teachers, coaches, and administrators to: (1) understand the demands created throughout a school or district when implementing an ambitious secondary mathematics program in a high-need context; (2) identify the resources and organizational dynamics necessary to address the demands and thus sustain the program; and (3) articulate a model for a sustainable ambitious secondary mathematics program in high-need settings that has validity across a range of implementation contexts. To develop the model over multiple iterations, the project will examine the demands and resources related to implementing an ambitious mathematics program, the perspectives of stakeholders, the organizational structure, and the program goals and implementation. The project will also conduct a systematic literature review to bring together findings from the successful district and other research findings. The data collection and analysis process will include interviews, document analysis, collection of artifacts, and observations across four phases of the project.  Participants will include students, teachers, instructional support personnel, and administrators (from schools and the district).

Storytelling for Mathematics Learning and Engagement

This project will collect and curate digital stories of diverse mathematicians sharing stories of their learning within and beyond schools. These short videos will become part of a more extensive digital database of mathematics stories that will be aligned with K-8 mathematics topics and then materials will be developed for teachers to use. The project team will explore the use of mathematics storytelling on K-8 teacher and student mathematics learning and engagement.

Award Number: 
2010276
Funding Period: 
Wed, 07/01/2020 to Fri, 06/30/2023
Full Description: 

Mathematics education in the United States has long been challenged by three key issues this project seeks to address: (a) narrow conceptions of mathematics as a discipline (b) the lack of racially/ethnically diverse role models for mathematics in terms of representation in the public imagination, media, and schools; and (c) a paucity of resources for instruction to harness students' early interest and engagement in mathematics across racial and gender groups. One promising way to expose teachers and students to a variety of images and diversity of models of mathematics is to include images of diverse people telling their stories about their doing and knowing of mathematics. Although storytelling is a natural part of human activity and is used extensively in other elementary school subjects like social studies and language arts, it is not usually found in elementary mathematics. As part of this three-year project, the project team will collect and curate digital stories of diverse mathematicians sharing stories of their learning within and beyond schools. These short videos will become part of a more extensive digital database of mathematics stories that will be aligned with K-8 mathematics topics and then materials will be developed for teachers to use. Throughout this work, the project team will explore the use of mathematics storytelling on K-8 teacher and student mathematics learning and engagement.

This project responds to calls for improved equity and access to rich, rigorous math: to contribute to understanding a more equitable K-12 pedagogy; to disrupt racial inequities in math (and STEM, more broadly) through culturally responsive and inclusive instructional practice; and to enhance teachers' instructional practice. The first phase of the work will involve collecting and curating a set of digital stories told by mathematicians. Then, through two cycles of design and piloting, the project team will work with participating teachers and students to finalize the design of the videos and associated instructional materials. A sample of pilot teachers will be purposefully selected to account for diversity in region, school population, and experience level of teachers. The research team will also design grade-level appropriate research instruments, collect surveys, and conduct interviews to investigate both teachers' and students' conceptions of mathematics, their conceptions of who "belongs" in mathematics, and teachers' instructional practice with the storytelling materials themselves. Their analysis will draw on quantitative and qualitative research methods. For example, they will use narrative inquiry to examine teachers' and students' experiences with the videos. Using the research findings, the project will make available samples of teachers' pedagogical repertoires related to these videos and demonstrate how storytelling can be used as an effective mechanism for mathematics teaching and learning. Products from this project will include a digital database and supporting instructional materials for teachers, school leaders, and professional developers to use. The dissemination of this research will contribute to building models for mathematics education that serve to deepen understanding of mathematics of teachers and students, as well as simultaneously empowering students of all backgrounds, but especially underserved students, to activate and pursue their interests in mathematics.

Learning to Teach During COVID-19: Leveraging Simulated Classrooms as Practice-based Spaces for Preservice Elementary Teachers within Online Teacher Education Courses

The COVID-19 pandemic has significantly disrupted the ability of teacher education programs to place their teacher candidates in typical K-12 teaching settings as a part of learning to teach. This project examines how simulated classroom field experiences for preservice teachers can be implemented in online and emergency remote teacher education courses.

Lead Organization(s): 
Award Number: 
2032179
Funding Period: 
Mon, 06/15/2020 to Mon, 05/31/2021
Full Description: 

School-based field experiences are a critical part of preservice teacher education. The COVID-19 pandemic has significantly disrupted the ability of teacher education programs to place their teacher candidates in typical K-12 teaching settings as a part of learning to teach. This project examines how simulated classroom field experiences for preservice teachers can be implemented in online and emergency remote teacher education courses. Elementary mathematics and science teacher educators are provided with opportunities to engage their preservice teachers in practice-based spaces using mixed-reality simulated classroom environments. These simulations are real-time lessons with animated student avatars that are voiced by an interactor who is responding to the teacher's lesson in real time in ways that represent authentic student thinking. This project aims to develop support materials for integrating simulated field experiences into elementary mathematics and science teacher education courses. The research will seek to understand what preservice teachers learn about teaching from these experiences, how teacher educators integrate the simulated field experiences into coursework, and how such simulated experiences can be integrated in remote, online courses in ways that support preservice teacher learning.

This project advances knowledge through the development and deployment of simulation-based tools that develop preservice elementary teachers' abilities to teach mathematics and science. Preservice teachers use performance tasks to deliver instruction in the simulated classroom. The project develops support materials for teacher educators to integrate this work into online and/or emergency remote teacher education courses (in response to COVID-19) in ways that support engagement in ambitious teaching practice. The project assesses impact on preservice teachers' ambitious teaching practice through artifacts of the simulated classroom practice, including observations and recordings of the simulated interactions and preservice teacher surveys and assessments of their use of ambitious teaching practices. The project evaluates the ways in which teacher educators integrate the simulated field experience into their emergency remote teacher education courses through surveys and interviews. The research addresses the immediate COVID-19 pandemic challenges in providing field experiences for students and provides long-term support for the ongoing challenge of finding field experience settings that are conducive to preparing highly-qualified elementary mathematics and science teachers.

Exploring Early Childhood Teachers' Abilities to Identify Computational Thinking Precursors to Strengthen Computer Science in Classrooms

This project will explore PK-2 teachers' content knowledge by investigating their understanding of the design and implementation of culturally relevant computer science learning activities for young children. The project team will design a replicable model of PK-2 teacher professional development to address the lack of research in early computer science education.

Lead Organization(s): 
Award Number: 
2006595
Funding Period: 
Tue, 09/01/2020 to Thu, 08/31/2023
Full Description: 

Strengthening computer science education is a national priority with special attention to increasing the number of teachers who can deliver computer science education in schools. Yet computer science education lacks the evidence to determine how teachers come to think about computational thinking (a problem-solving process) and how it could be integrated within their day-to-day classroom activities. For teachers of pre-kindergarten to 2nd (PK-2) grades, very little research has specifically addressed teacher learning. This oversight challenges the achievement of an equitable, culturally diverse, computationally empowered society. The project team will design a replicable model of PK-2 teacher professional development in San Marcos, Texas, to address the lack of research in early computer science education. The model will emphasize three aspects of teacher learning: a) exploration of and reflection on computer science and computational thinking skills and practices, b) noticing and naming computer science precursor skills and practices in early childhood learning, and c) collaborative design, implementation and assessment of learning activities aligned with standards across content areas. The project will explore PK-2 teachers' content knowledge by investigating their understanding of the design and implementation of culturally relevant computer science learning activities for young children. The project includes a two-week computational making and inquiry institute focused on algorithms and data in the context of citizen science and historical storytelling. The project also includes monthly classroom coaching sessions, and teacher meetups.

The research will include two cohorts of 15 PK-2 teachers recruited from the San Marcos Consolidated Independent School District (SMCISD) in years one and two of the project. The project incorporates a 3-phase professional development program to be run in two cycles for each cohort of teachers. Phase one (summer) includes a 2-week Computational Making and Inquiry Institute, phase two (school year) includes classroom observations and teacher meetups and phase three (late spring) includes an advanced computational thinking institute and a community education conference. Research and data collection on impacts will follow a mixed-methods approach based on a grounded theory design to document teachers learning. The mixed-methods approach will enable researchers to triangulate participants' acquisition of new knowledge and skills with their developing abilities to implement learning activities in practice. Data analysis will be ongoing, interweaving qualitative and quantitative methods. Qualitative data, including field notes, observations, interviews, and artifact assessments, will be analyzed by identifying analytical categories and their relationships. Quantitative data includes pre to post surveys administered at three-time points for each cohort. Inter-item correlations and scale reliabilities will be examined, and a repeated measures ANOVA will be used to assess mean change across time for each of five measures. Project results will be communicated via peer-reviewed journals, education newsletters, annual conferences, family and teacher meetups, and community art and culture events, as well as on social media, blogs, and education databases.

Parents, Teachers, and Multilingual Children Collaborating on Mathematics Together (Collaborative Research: Quintos)

The goal of this project is to develop and study a mathematics partnership that engages multilingual children, their teachers, and their parents in mathematical experiences together. The project will design professional learning opportunities for parents, teachers, and students, and study the ways in which the professional learning opportunities influence teacher beliefs, quality of instruction, parent beliefs, and teacher and parent understanding of positioning.

Award Number: 
2010417
Funding Period: 
Mon, 06/01/2020 to Fri, 05/31/2024
Full Description: 

The connections between students' home and family contexts and the activities of formal schooling are critical to support meaningful learning and family engagement in formal schooling. The need to better understand and make use of those connections is particularly important for multilingual learners whose family and cultural contexts may differ significantly from school contexts and their teachers' own experiences. The goal of this project is to develop and study a mathematics partnership that engages multilingual children, their teachers, and their parents in mathematical experiences together. These mathematical experiences are designed to advance equity in mathematics education for multilingual students. The project will design professional learning opportunities for parents, teachers, and students, and study the ways in which the professional learning opportunities influence teacher beliefs, quality of instruction, parent beliefs, and teacher and parent understanding of positioning.

This project uses a design-based implementation research (DBIR) approach, along with principles of Social Design Experiments to engage in iterative cycles of inquiry to develop, implement, and refine the model. Parents, teachers, and students in three states (Arizona, Maryland, and Missouri) will be recruited that represent diverse populations both with respect to demographics and with respect to the policy contexts surrounding multilingual learners. Two cohorts of parents will be invited to participate in the parent-teacher study group, one consisting of 6 parents and teachers per site and one consisting of 20 parents and their children's teachers per site. In each iteration, data will be collected at multiple time points related to teachers' beliefs about effective math instruction for multilingual students; quality of mathematics instruction for linguistically diverse students; focus group interviews with parents and students, and video records of teachers and parents working with their students doing mathematics during study group convenings. Data analysis will blend quantitative and qualitative methods. Quantitative methods will include t-tests, multivariate, and correlational analyses to examine changes in teacher beliefs, instructional quality, and the relationships between the two. Qualitative analyses using thematic coding and discourse analysis will be used to analyze study group meetings and outcomes related to parent and teacher positioning of multilingual learners.

Parents, Teachers, and Multilingual Children Collaborating on Mathematics Together (Collaborative Research: Pinnow)

The goal of this project is to develop and study a mathematics partnership that engages multilingual children, their teachers, and their parents in mathematical experiences together. The project will design professional learning opportunities for parents, teachers, and students, and study the ways in which the professional learning opportunities influence teacher beliefs, quality of instruction, parent beliefs, and teacher and parent understanding of positioning.

Lead Organization(s): 
Award Number: 
2010260
Funding Period: 
Mon, 06/01/2020 to Fri, 05/31/2024
Full Description: 

The connections between students' home and family contexts and the activities of formal schooling are critical to support meaningful learning and family engagement in formal schooling. The need to better understand and make use of those connections is particularly important for multilingual learners whose family and cultural contexts may differ significantly from school contexts and their teachers' own experiences. The goal of this project is to develop and study a mathematics partnership that engages multilingual children, their teachers, and their parents in mathematical experiences together. These mathematical experiences are designed to advance equity in mathematics education for multilingual students. The project will design professional learning opportunities for parents, teachers, and students, and study the ways in which the professional learning opportunities influence teacher beliefs, quality of instruction, parent beliefs, and teacher and parent understanding of positioning.

This project uses a design-based implementation research (DBIR) approach, along with principles of Social Design Experiments to engage in iterative cycles of inquiry to develop, implement, and refine the model. Parents, teachers, and students in three states (Arizona, Maryland, and Missouri) will be recruited that represent diverse populations both with respect to demographics and with respect to the policy contexts surrounding multilingual learners. Two cohorts of parents will be invited to participate in the parent-teacher study group, one consisting of 6 parents and teachers per site and one consisting of 20 parents and their children's teachers per site. In each iteration, data will be collected at multiple time points related to teachers' beliefs about effective math instruction for multilingual students; quality of mathematics instruction for linguistically diverse students; focus group interviews with parents and students, and video records of teachers and parents working with their students doing mathematics during study group convenings. Data analysis will blend quantitative and qualitative methods. Quantitative methods will include t-tests, multivariate, and correlational analyses to examine changes in teacher beliefs, instructional quality, and the relationships between the two. Qualitative analyses using thematic coding and discourse analysis will be used to analyze study group meetings and outcomes related to parent and teacher positioning of multilingual learners.

Parents, Teachers, and Multilingual Children Collaborating on Mathematics Together (Collaborative Research: Civil)

The goal of this project is to develop and study a mathematics partnership that engages multilingual children, their teachers, and their parents in mathematical experiences together. The project will design professional learning opportunities for parents, teachers, and students, and study the ways in which the professional learning opportunities influence teacher beliefs, quality of instruction, parent beliefs, and teacher and parent understanding of positioning.

Lead Organization(s): 
Award Number: 
2010230
Funding Period: 
Mon, 06/01/2020 to Fri, 05/31/2024
Full Description: 

The connections between students' home and family contexts and the activities of formal schooling are critical to support meaningful learning and family engagement in formal schooling. The need to better understand and make use of those connections is particularly important for multilingual learners whose family and cultural contexts may differ significantly from school contexts and their teachers' own experiences. The goal of this project is to develop and study a mathematics partnership that engages multilingual children, their teachers, and their parents in mathematical experiences together. These mathematical experiences are designed to advance equity in mathematics education for multilingual students. The project will design professional learning opportunities for parents, teachers, and students, and study the ways in which the professional learning opportunities influence teacher beliefs, quality of instruction, parent beliefs, and teacher and parent understanding of positioning.

This project uses a design-based implementation research (DBIR) approach, along with principles of Social Design Experiments to engage in iterative cycles of inquiry to develop, implement, and refine the model. Parents, teachers, and students in three states (Arizona, Maryland, and Missouri) will be recruited that represent diverse populations both with respect to demographics and with respect to the policy contexts surrounding multilingual learners. Two cohorts of parents will be invited to participate in the parent-teacher study group, one consisting of 6 parents and teachers per site and one consisting of 20 parents and their children's teachers per site. In each iteration, data will be collected at multiple time points related to teachers' beliefs about effective math instruction for multilingual students; quality of mathematics instruction for linguistically diverse students; focus group interviews with parents and students, and video records of teachers and parents working with their students doing mathematics during study group convenings. Data analysis will blend quantitative and qualitative methods. Quantitative methods will include t-tests, multivariate, and correlational analyses to examine changes in teacher beliefs, instructional quality, and the relationships between the two. Qualitative analyses using thematic coding and discourse analysis will be used to analyze study group meetings and outcomes related to parent and teacher positioning of multilingual learners.

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