Projects

The Common Core State Standards for Mathematics (CCSSM) problem-solving measures assess students’ problem-solving performance within the context of CCSSM math content and practices. This project expands the scope of the problem-solving measures use and score interpretation. The project work advances mathematical problem-solving assessments into computer adaptive testing. Computer adaptive testing allows for more precise and efficient targeting of student ability compared to static tests.

This study addresses two open questions in mathematics education and teacher learning research related to groupwork monitoring. Using contemporary information visualization techniques and open-source tools, alongside a video-based coaching activity, teachers will a) analyze classroom video records featuring group math discussions and b) uncover and investigate their specific interactions with student groups as well as their overall approach to this important phase of their lessons. Through these tools, teachers will develop strategic and integrated understandings of effective groupwork monitoring strategies. As a result of this work, teachers and researchers will be able to better connect teachers’ monitoring choices to students’ peer-to-peer math talk.

This project will investigate the challenges, needs, and support for Historically Black Colleges and Universities (HBCUs) to succeed in applying for educational research support from the National Science Foundation (NSF), in particular the Division of Research on Learning in Informal and Formal Settings (DRL). The project will investigate what changes and/or supports would contribute to significantly increasing the number of applications and successful grant awards for STEM educational research project proposed by HBCUs.

This project brings together a successful mathematics rubric-based coaching model (MQI Coaching) and an empirically developed observation tool focused on equity-focused instructional practices, the Equity and Access Rubrics for Mathematics Instruction (EAR-MI). The project measures the effects of the coaching model on teachers' beliefs and instructional practices and on students' mathematical achievement and sense of belonging in mathematics. The project also investigates how teachers' attitudes and beliefs impact their participation and what teachers take away from engagement with the coaching model.

This project explores the mechanisms by which teachers translate what they learn from professional development into their teaching practice. The goal of this project is to study how the knowledge and skills teachers acquire during professional development (PD) translate into more conceptually oriented mathematics teaching and, in turn, into increased student learning.

This project focuses on supporting emerging scholars who have new ideas and approaches for approaching racial equity in their scholarship and work. The workshop, implemented as a series of sessions over the course of a year, will support early career scholars in STEM education and the learning sciences in preparing proposals to submit to the National Science Foundation.

This project brings together a successful mathematics rubric-based coaching model (MQI Coaching) and an empirically developed observation tool focused on equity-focused instructional practices, the Equity and Access Rubrics for Mathematics Instruction (EAR-MI). The project measures the effects of the coaching model on teachers' beliefs and instructional practices and on students' mathematical achievement and sense of belonging in mathematics. The project also investigates how teachers' attitudes and beliefs impact their participation and what teachers take away from engagement with the coaching model.

This project explores the ways in which thoughtfully designed simulations can provide preservice teachers with formative assessment opportunities that serve as a complement to, or alternative to as needed, feedback derived from field placement contexts. A set of simulations will be designed with a focus on eliciting and interpreting student thinking. These simulations will be used with preservice teachers in three elementary teacher preparation programs of varying size and demographics.

This project brings together a successful mathematics rubric-based coaching model (MQI Coaching) and an empirically developed observation tool focused on equity-focused instructional practices, the Equity and Access Rubrics for Mathematics Instruction (EAR-MI). The project measures the effects of the coaching model on teachers' beliefs and instructional practices and on students' mathematical achievement and sense of belonging in mathematics. The project also investigates how teachers' attitudes and beliefs impact their participation and what teachers take away from engagement with the coaching model.

CADRE is the resource network that supports researchers and developers who participate in DRK-12 projects on teaching and learning in the science, technology, engineering and mathematics disciplines. CADRE works with projects to strengthen and share methods, findings, results and products, helping to build collaboration around a strong portfolio of STEM education resources, models and technologies. CADRE raises external audiences’ awareness and understanding of the DRK-12 program, and builds new knowledge.

This project advances the understanding of teaching and learning of algebra in grades 6 through 12 by using a methodology that leverages the cumulative power of an analysis of many studies on a topic. This work will synthesize results aggregated from 40 years of research in the field of mathematics education and develop a unified framework to inform parents, students, teachers, other educators, and researchers.

Building on the team's prior research from early in the pandemic, this project team will continue to collect data from families and 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 spring and summer of 2022 and into the 2022-23 school year. The team will analyze student and family overall and for key demographic groups of interest as schooling during the pandemic continues. This RAPID project allows critically important data to continue to be collected and contribute to continued understanding of the impacts of and responses to the pandemic by American families.

This project seeks to investigate the possibilities and challenges of using a participatory approach to research and design, centering Black, Indigenous, Latinx, and Hmong students and their families in imagining and creating change. The project will generate new knowledge about the possibilities and limitations of participatory design research (PDR) as a method for advancing equity in mathematics education through PDR cycles at three middle schools over the five years of the project. This approach has the potential to disrupt inequitable practices of mathematics education as well as undemocratic processes for making decisions about mathematics education. Further, it will be a catalyst for developing racially just practices and processes in mathematics education.

In this project, we examine middle-school students’ understandings of coordinate systems and frames of reference prior to examining their graph construction and interpretation. This focus allows us to design instructional materials that can support students’ graphing understandings in ways that avoid or mitigate how persistent challenges in students’ graphing understandings identified in the research literature.

In this project, we examine middle-school students’ understandings of coordinate systems and frames of reference prior to examining their graph construction and interpretation. This focus allows us to design instructional materials that can support students’ graphing understandings in ways that avoid or mitigate how persistent challenges in students’ graphing understandings identified in the research literature.

This project is developing curricular materials that utilize best teaching practices in improving student understanding of statistics and data science for use in high school Algebra I, Algebra II, and Geometry courses.  Although teachers are encouraged to integrate statistics and data science in these kinds of high school courses, teachers do not have sufficient access to resources to accomplish this effectively. The distinctive feature of these curricular materials is the use of simulation-based inference methods, data visualization, and the entire statistical investigation process to improve students’ understanding of the relevance and power of statistics because these approaches are central to statistical thinking and practice.

This project seeks to understand how children learn about place value by studying different representations of multi-digit numbers (written number symbols, heard number names) and how prior knowledge of number influences children’s’ learning. Knowing more about multi-digit number learning will help to create teaching and curriculum resources that better support children’s learning.

This project will develop and investigate mathematics language routines focused on data science topics in middle and high school. The study will investigate teachers’ use of mathematics language routines and a professional development model to support teachers’ learning. The educational integration plan in the project will build mathematics teacher expertise and create video cases to support teacher professional development.

This project aims to create and study an Equitable and Interactive Mathematical Modeling (EIM2) program that positions students as decision makers in their own learning. Despite the value of connecting students’ life experiences with their mathematical learning, the practical implementation of this strategy has proven challenging in a classroom setting. EIM2 addresses this issue by supporting students to engage in equitable mathematical modeling, a process of using mathematics to analyze and quantify scenarios through a lens of equity.

Covariational reasoning, or the ability to reason about relationships as quantities change together, is one way of thinking that can provide a foundation for students to build their more abstract algebraic knowledge. This research builds a foundation for integrating education and research at the intersection of students’ developing algebraic knowledge, covariational reasoning, and new educational technologies to create a new path into algebra. This path can help remove barriers that have historically restricted access to mathematics and STEM coursework and careers.

Teachers’ beliefs influence their instructional decisions and these decisions shape the mathematical learning opportunities for all students. This is particularly important when considering the learning opportunities for groups that have historically been marginalized in mathematics, including girls and students of color. There are few validated, mathematics-specific instruments that measure teachers’ beliefs about mathematics learning related to race, ethnicity, and gender. This project seeks to investigate teachers’ beliefs related to how they explain the systemic racial and gender differences in mathematics education outcomes by developing and validating a survey instrument and to explore how those beliefs might impact their teaching.

This project connects interdisciplinary researchers and experts from four tribal nation partners to develop and implement an in-service teacher professional certificate program that integrates Indigenous Knowledge into STEM teaching. This multi-sited teacher professional development model will enroll K-12 teachers in four different Native-serving regions of the rural West into a 12-month certificate program that combines Indigenous science, Coupled Human and Natural Systems, and Land education concepts into an experiential learning cycle with local and broad study of learning with the Land. The project will add knowledge about the transferability of local epistemologies and practices and national science standards within four specific Indigenous contexts and expand space for tribal-lead professional development to transform teacher classroom practice.

This project examines the development of statistical literacy that combines statistical reasoning and thinking. The project will use professional learning communities for teachers to learn about statistical literacy and develop learning experiences for their students. The project will engage students and teachers in finding meaningful ways to use statistical reasoning to make data-based arguments and reason about patterns they observe in society.

This project addresses a major educational barrier, namely that rural students are less likely to choose a major in STEM and have far less access to advanced STEM courses taught by highly qualified teachers. The LogicDataScience (LogicDS) curriculum and virtual delivery are expected to relieve the resource constraints significantly and thus reach rural students. The strategy behind this curriculum development for data science explores the utility of emphasizing how the foundations of data science in computing, mathematics, and statistics are unified by mathematical logic. The project is studying the impacts of the new curriculum on students’ learning of computing, mathematics, and statistics.

This project will design and study an online, portable mentor teacher professional development (PD) program that target mentors’ teaching and feedback skills in elementary mathematics. The project aims to (1) promote educator development by generating new knowledge about how to help mentors support teacher candidate learning; (2) broaden participation in mathematics by historically marginalized and minoritized youth, who are far more likely than their peers to be taught by a first year teacher; and (3) enhance infrastructure for research and education by generating PD materials and measures that can be used and studied at scale.