Post-secondary

Fourteenth International Congress on Mathematical Education (ICME14) Travel Grant

This project will support the participation of 53 US K-12 mathematics teachers, graduate students, community college/university mathematicians, mathematics teacher educators, and mathematics education researchers to attend the Fourteenth International Congress for Mathematical Education (ICME-14) in Shanghai, China.

Project Email: 
Lead Organization(s): 
Award Number: 
1908084
Funding Period: 
Sun, 09/01/2019 to Mon, 02/28/2022
Project Evaluator: 
Full Description: 

This project will support the participation of 53 US K-12 mathematics teachers, graduate students, community college/university mathematicians, mathematics teacher educators, and mathematics education researchers to attend the Fourteenth International Congress for Mathematical Education (ICME-14) to be held in Shanghai, China July 9-16, 2020. While mathematics education in the United States has its own culture and expectations, the work and conversations of mathematics educators across the world might contribute to our understanding of issues facing our community today such as curriculum development, the use of technology, strategies for reaching all students, teacher education and professional development. The questions we have as a nation about our own mathematics education might be informed and enlightened by international conversations with others confronting similar issues. A research team led by Sharon McCrone, University of New Hampshire, will prepare a 2020 Fact Book on US mathematics education, building on reports for prior ICMEs. The travel grant will increase the number and diversity of the US mathematics education community attending the international congress, which will enable a broader representation from the US to benefit from interaction with the world's leading mathematics educators.

Through a careful selection process, experts in the field will identify travel recipients most likely to benefit from attending ICME-14 and well-positioned to disseminate insights from their experience. Fostering understanding of international issues and practices among educators and researchers in the US may enhance their capacity to take an informed, global perspective in their work, which, in turn, may benefit their local communities. Digital media will allow educators and classrooms to make and maintain contact across the world, enabling ICME-14 grantees to maintain connections initiated at the meeting and have an impact on large numbers of school children and teachers, both preservice and practicing, in the US. At ICME-14 these educators will engage in learning about the "state of the art" with respect to research and practice in mathematics education from a wide variety of perspectives and will be able to discuss common challenges in teaching and learning mathematics.

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Looking Back and Looking Forward: Increasing the Impact of Educational Research on Practice

The focus of this conference is to carefully examine past and current research with an eye toward improving its impact on practice and to create concrete steps that could shape the nature and impact of mathematics education research.

Lead Organization(s): 
Award Number: 
1941494
Funding Period: 
Sun, 09/01/2019 to Mon, 08/31/2020
Full Description: 

The focus of the proposed conference is to carefully examine past and current research with an eye toward improving its impact on practice. This conference is designed to create concrete steps that could shape the nature and impact of mathematics education research for years to come. A diverse group of 50 participants will be invited to participate. Participants include 10 experienced K-12 educators whose perspectives will be used to anchor the conference in problems of practice. Other participants represent senior through more junior scholars who have demonstrated a commitment to addressing the disconnect between research and practice, along with technology experts to advise participants on capabilities and innovative uses of modern technologies for instruction, assessment and data management.

The overarching goal for the conference is to help the field of mathematics education think deeply about the most productive ways to answer the following questions: [1] Why hasn't past research had a more direct impact on practice? What can be learned from this historical analysis for future research? [2] What is a possible vision for research that would have a more direct impact on practice? What questions should be asked? What methods should be used? What concrete steps can be taken to launch the new research programs? [3] What are the implications of adopting new kinds of research programs? If they gain traction, how will such changes affect the broader education community and infrastructure, including preservice teacher education, teacher professional development, and the training of future researchers? How should the roles of researchers and teachers change? What incentive structures might motivate these changes? How will new programs of research interact with existing programs?

Improving Evaluations of R&D in STEM Education

The primary goal of this set of workshops is to provide STEM education researchers with the framework, skills, and community they need to implement new developments in causal inference methods into their research.

Project Email: 
Lead Organization(s): 
Award Number: 
1937719
Funding Period: 
Sun, 09/01/2019 to Wed, 08/31/2022
Project Evaluator: 
Full Description: 

The primary goal of this set of workshops is to provide STEM education researchers with the framework, skills, and community they need to implement new developments in causal inference methods into their research. These methods will be immediately implementable in their current (or near future) studies and will result in stronger causal findings, providing higher-quality evidence regarding the potential of new innovations to improve STEM education broadly. Additionally, a secondary goal is to provide the graduate assistants at the workshop (students in statistics) with a strong foundation in the real-world problems facing researchers in STEM education today. By being immersed in this community, the goal is to improve their communication skills, while also providing them with opportunities to develop new methods that address problems facing the STEM education community today.

STEM education research and development studies often focus on the development and iterative refinement of interventions meant to increase STEM participation and skills. Since large-scale randomized experiments are not often possible, researchers typically use correlational methods instead to explore the effects of interventions. Over the past several years, however, statisticians have developed a broad array of methods for understanding causality that do not require these large-scale randomized trials. While these causal inference methods are now common in fields like medicine and education policy, they are much less commonly found in STEM education fields. The purpose of this set of workshops is to introduce STEM education researchers to these methods and how they relate to three research designs they already use: (1) matching on a single variable (e.g., age, gender), (2) pre-test post-test comparisons, and (3) lab experiments. In addition to introducing these new developments, broader discussions of confounding, validity types and trade-offs, design sensitivity, effect size reporting, and questionable research practices (e.g., p-hacking) will also be included.

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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.

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

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

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

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

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

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

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

Partner Organization(s): 
Award Number: 
1920619
Funding Period: 
Thu, 08/01/2019 to Wed, 07/31/2024
Full Description: 

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

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

Developing and Validating Early Assessments of College Readiness: Differential Effects for Underrepresented Groups, Optimal Timing of Assessments, and STEM-Specific Indicators

This purpose of this project is to develop and validate a range of assessments with a focus on academic preparedness for higher education. The team will explore relevant qualities of assessments such as their differential predictive validity to ensure they are appropriate for underrepresented groups, the optimal grade level to begin assessing readiness, and measures that are most appropriate for predicting STEM-specific readiness.

Project Email: 
Award Number: 
1908630
Funding Period: 
Mon, 07/15/2019 to Wed, 06/30/2021
Project Evaluator: 
Full Description: 

One third of all college freshmen are academically unprepared for entry-level college coursework and require remedial course. That figure is much higher at many colleges. The problem is more acute in STEM disciplines, particularly among students from underrepresented ethnic groups and low socioeconomic status families. This purpose of this project is to develop and validate a range of assessments with a focus on academic preparedness for higher education. The team will explore relevant qualities of assessments such as their differential predictive validity to ensure they are appropriate for underrepresented groups, the optimal grade level to begin assessing readiness, and measures that are most appropriate for predicting STEM-specific readiness.

This project will use two recent and complementary large-scale, nationally representative federal databases: the High School Longitudinal Study of 2009 and the Education Longitudinal Study of 2002. Factor analysis will be used to develop composite variables of college readiness and multilevel regression will be used to develop predictive models on a range of college outcomes to test the predictive validity of composite and individual predictors. The models will be extended to conduct multiple group analyses to test for differential prediction for students from underrepresented groups. The project intends to promote 1) the use of a wider range of assessments of academic preparedness, 2) the use of measures that are more sensitive for assessing college readiness from underrepresented groups and among STEM majors, 3) earlier assessment using indicators and models with predictive validity and 4) progress monitoring of college readiness by providing a detailed example of how that can be developed and implemented. Findings will also raise student, parental, teacher, and other school personnel awareness of the range of factors relevant for preparing students for college.

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Understanding the Role of Simulations in K-12 Science and Mathematics Teacher Education

This project will develop and implement a working conference for scholars and practitioners to articulate current use cases and theories of action regarding the use of simulations in PreK-12 science and mathematics teacher education. The conference will be structured to provide opportunities for attendees to share their current research, theoretical models, conceptual views, and use cases focused on the design and use of digital and non-digital simulations for building and assessing K-12 science and mathematics teacher competencies.

Lead Organization(s): 
Award Number: 
1813476
Funding Period: 
Sat, 09/01/2018 to Sat, 08/31/2019
Full Description: 

The recent emergence of updated learning standards in science and mathematics, coupled with increasingly diverse school students across the nation, has highlighted the importance of updating professional learning opportunities for science and mathematics teachers. One promising approach that has emerged is the use of simulations to engage teachers in approximations of practice where the focus is on helping them learn how to engage in ambitious content teaching. In particular, recent technological advances have supported the emergence of new kinds of digital simulations and have brought increased attention to simulations as a tool to enhance teacher learning. This project will develop and implement a working conference for scholars and practitioners to articulate current use cases and theories of action regarding the use of simulations in PreK-12 science and mathematics teacher education. The conference will be structured to provide opportunities for attendees to share their current research, theoretical models, conceptual views, and use cases focused on the design and use of digital and non-digital simulations for building and assessing K-12 science and mathematics teacher competencies.

While the use of simulations in teacher education is neither new nor limited to digital simulation, emerging technological capabilities have enabled digital simulations to become practical in ways not formerly available. The current literature base, however, is dated and the field lacks clear theoretic models or articulated theories of action regarding what teachers could or should learn via simulations, and the essential components of effective learning trajectories. This working conference will be structured to provide opportunities for attending, teacher educators, researchers, professional development facilitators, policy makers, preservice and inservice teachers, and school district leaders to share their current research, theoretical models, conceptual views, and use cases regarding the role of simulations in K-12 science and mathematics teacher education. The conference will be organized around four major goals, including: (1) Define how simulations (digital and non-digital) are conceptualized, operationalized, and utilized in K-12 science and mathematics teacher education; (2) Document and determine the challenges and affordances of the varied contexts, audiences, and purposes for which simulations are used in K-12 science and mathematics teacher education and the variety of investigation methods and research questions employed to investigate the use of simulations in these settings; (3) Make explicit the theories of action and conceptual views undergirding the various simulation models being used in K-12 science and mathematics teacher education; and (4) Determine implications of the current research and development work in this space and establish an agenda for studying the use of simulations in K-12 science and mathematics teacher education. The project will produce a white paper that presents the research and development agenda developed by the working conference, describes a series of use cases describing current and emergent practice, and identifies promising directions for future research and development in this area. Conference outcomes are expected to advance understanding of the varied ways in which digital and non-digital simulations can be used to foster and assess K-12 science and mathematics teacher competencies and initiate a research and development agenda for examining the role of simulations in K-12 science and mathematics teacher education.


Project Videos

2019 STEM for All Video Showcase

Title: Understanding the Role of Simulations in Teacher Preparation

Presenter(s): Lisa Dieker, Angelica Fulchini Scruggs, Heather Howell, Michael Hynes, & Jamie Mikeska


Methods for Assessing Replication

The goal of this project is to formalize subjective ideas about the important concept of replication, provide statistical analyses for evaluating replication studies, provide properties for evaluating the conclusiveness of replication studies, and provide principles for designing conclusive and efficient programs of replication studies.

Lead Organization(s): 
Award Number: 
1841075
Funding Period: 
Sat, 09/01/2018 to Tue, 08/31/2021
Full Description: 

Replication of prior findings and results is a fundamental feature of science and is part of the logic supporting the claim that science is self-correcting. However, there is little prior research on the methodology for studying replication. Research involving meta-analysis and systematic reviews that summarizes a collection of research studies is more common. However, the question of whether the findings from a set of experimental studies replicate one another has received less attention. There is no clearly defined and widely accepted definition of a successful replication study or statistical literature providing methodological guidelines on how to design single replication studies or a set of replication studies. The research proposed here builds this much needed methodology.

The goal of this project is to formalize subjective ideas about the important concept of replication, provide statistical analyses for evaluating replication studies, provide properties for evaluating the conclusiveness of replication studies, and provide principles for designing conclusive and efficient programs of replication studies. It addresses three fundamental problems. The first is how to define replication: What, precisely, should it mean to say that the results in a collection of studies replicate one another? Second, given a definition of replication, what statistical analyses should be done to decide whether the collection of studies replicate one another and what are the properties of these analyses (e.g., sensitivity or statistical power)? Third, how should one or more replication studies be designed to provide conclusive answers to questions of replication? The project has the potential for impact on a range of empirical sciences by providing statistical tools to evaluate the replicability of experimental findings, assessing the conclusiveness of replication attempts, and developing software to help plan programs of replication studies that can provide conclusive evidence of replicability of scientific findings.

Critical Issues in Mathematics Education 2018

This conference will continue the workshop series Critical Issues in Mathematics Education (CIME). The topic for CIME 2018 will be "Access to mathematics by opening doors for students currently excluded from mathematics". The CIME workshops engage professional mathematicians, education researchers, teachers, and policy makers in discussions of issues critical to the improvement of mathematics education from the elementary grades through undergraduate years.

Award Number: 
1827412
Funding Period: 
Thu, 03/01/2018 to Thu, 02/28/2019
Full Description: 

This conference will continue the workshop series, Critical Issues in Mathematics Education (CIME) on teaching and learning mathematics, initiated by the Mathematical Sciences Research Institute (MSRI) in 2004. The topic for CIME 2018 will be "Access to mathematics by opening doors for students currently excluded from mathematics". The CIME workshops engage professional mathematicians, education researchers, teachers, and policy makers in discussions of issues critical to the improvement of mathematics education from the elementary grades through undergraduate years. Sessions will share relevant programmatic efforts and innovative research that have been shown to maintain or increase students' engagement and interests in mathematics across K-12, undergraduate and graduate education. The sessions will focus particularly on reproducible efforts that affirm those students' identities and their diverse intellectual resources and lived experience.

The CIME workshops impact three distinct communities: research mathematicians, mathematics educators (K-16), and education researchers. Participants learn about research and development efforts that can enhance their own work and the contributions they can make to solving issues in mathematics education. Participants also connect with others concerned about those issues. This workshop will also focus on developing action plans that participants can implement once they return to their institutions. There is also a focus on recruitment of leaders of mathematics departments, teachers, and other leaders in mathematics education across K-12, undergraduate education and graduate education in order to examine systemic changes that can be made to increase access, engagement, and interest in mathematics.

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