Projects

This project will develop a process for creating a shared, state-wide vision of high-quality mathematics instruction. It will also develop and study the resources to implement that vision at the state, district, and school levels. In addition, the project will investigate a collaborative process of designing and implementing high-quality mathematics instruction at a state level.

The project addresses the relatively poor mathematics achievement of students who are not proficient in English. It includes research on how English language learners in beginning algebra classes solve math word problems with different text characteristics. The results of this research inform the development of technology-based resources to support ELLs’ ability to learn mathematics through instruction in English, including tutorials in math vocabulary, integrated glossaries, and interactive assistance with forming equations from word problem text.

This project is studying how young children in grades K-2 understand mathematical concepts that are foundational for developing algebraic thinking. Researchers are contributing to an ongoing effort to develop a learning trajectory that describes how algebraic concepts are developed. The project uses teaching experiments, with researchers talking directly to students as they explore algebraic ideas. They explore how students think about and develop concepts related to covariation, representations of functions, relationships among variable, and generalization.

This project is studying the impact of implementing a NSF-funded, high school mathematics curriculum that emphasizes mathematical habits of mind. This curriculum focuses on ways of thinking and doing mathematics in contrast with curricula that focus on mathematical topics. The project is studying the development of teachers' mathematical knowledge for teaching and their capacity to align their instruction with the new curriculum.

Computational and algorithmic thinking are new basic skills for the 21st century. Unfortunately few K-12 schools in the United States offer significant courses that address learning these skills. However many schools do offer robotics courses. These courses can incorporate computational thinking instruction but frequently do not. This research project aims to address this problem by developing a comprehensive set of resources designed to address teacher preparation, course content, and access to resources.

This project will research the programmatic changes that resulted from the NSF investment in Centers for Learning and Teaching of Mathematics (CLT) at the 31 participating institutions. It will provide information on the core elements of doctoral preparation in mathematics education at the institutions and ways in which participation in the CLTs has changed their programs.

This project will advance the research base and leadership capacity supporting K-12 mathematics curriculum design, analysis, implementation and evaluation. It will serve the K-12 educational community by focusing scholarly inquiry and professional development around the issues of mathematics curriculum, examining and characterizing their role and influence on both teaching and student learning. The Center will test strategies and produce new knowledge about the impact of curriculum materials on student and teacher learning.

The goal of the Center for the Mathematics Education of Latinos/as is to advance the field of mathematics education by:

(A) Developing an integrated model that connects mathematics teaching and learning to the cultural, social, and linguistic contexts of Latino/as students and (B) Increasing the number of mathematics educators and teachers with this integrated knowledge to ultimately improve the mathematics education of Latinos/as, particularly those of low-income backgrounds.

In its first five years, this project established a durable and vibrant learning community of high school teachers, high school students, university students, scientists, faculty, and associated stake-holders that continues to attract science and math students, using the project’s cutting-edge science and advanced cyberinfrastructure as compelling elements of study. This project continues by providing an education and research partnership derived from basic research in particle physics, grid computing, and advanced networking.

This project is organizing and hosting a National Forum on Content-Based Professional Development for Teachers of Mathematics. Expanding on work begun at two previous CBMS Forums, this third forum will provide the participants with a better understanding of the features of high quality content-based professional development and increase the number of college and university mathematics departments who partner with state departments and local school districts to provide professional development to working teachers.

The Conference Board for the Mathematical Sciences (CBMS) is organizing and hosting a National Forum on the Content and Assessment of School Mathematics. The conference is intended to provide an opportunity for policy makers and the broad mathematics education community to provide input into the standards development process. CBMS will produce a white paper on the key issues.

Researchers are developing a practice-based curriculum for the professional education of preservice and practicing secondary mathematics teachers that focuses on reasoning and proving; has narrative cases as a central component; and supports the development of knowledge of mathematics needed for teaching. This curriculum is comprised of eight constellations of activities that focus on key aspects of reasoning and proving such as identifying patterns; making conjectures; providing proofs; and providing non-proof arguments.

This CAREER proposal has four objectives: 1) examine the nature of mathematics teachers' learning opportunities for instructional improvement, 2) examine how work contexts influence the quality of teacher learning opportunities, 3) examine the impact of teacher learning opportunities on changes in student mathematics achievement over four years, and 4) work with district and school administrators to promote instructional improvement and student achievement by effectively providing learning opportunities to mathematics teachers.

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 characterizes and analyses the developing mathematical identities of Latinx students transitioning from elementary to middle grades mathematics. The central hypothesis of this project is that elementary Latino students' stories can identify how race and language are influential to their mathematical identities and how school and classroom practices may perpetuate inequities.

The research and educational activities of this project focus on advancing the field in the area of fraction operation algorithm development. The goal of this research is to identify core mathematical teaching practices that engage and support students in algorithmic thinking associated with fraction operations. The educational product of this work will be written educational materials that can be used to support the general population of teachers in this domain.

This project integrates educational and research activities with the ultimate goal of improving the mathematics education of students in high poverty, urban high schools. The project focuses on developing secondary mathematics teachers‘ capacity for implementing culturally relevant mathematics pedagogy (CuReMaP). CuReMaP consists of teaching mathematics for understanding; centering mathematics instruction on students; and providing opportunities for students to develop critical consciousness about and with mathematics.

The aim of this project is to explore the hypothesis that a curricular focus on quantitative reasoning in middle grades mathematics can enhance development of student skill and understanding about mathematical proof. The project is addressing that hypothesis through a series of studies that include small group teaching experiments with students, professional development work with teachers, and classroom field tests of curricular units that connect quantitative reasoning and proof in algebra.

This project will design opportunities for mathematics and science teachers to coordinate their instruction to support a more coherent approach to teaching statistical model-based inference in middle school. It will prepare teachers to help more students develop a deeper understanding of ideas and practices related to measurement, data, variability, and inference and to use these tools to generate knowledge about the natural world.

Online STEM credit courses have become attractive to school leaders as a way to support students who fail STEM courses in face-to-face school year settings. However, there is little research about the processes involved in how schools make decisions regarding student credit recovery. The available research focuses solely on student results and is not definitive enough to support important policy decisions at the district level. This research brings redress to this policy dilemma.

The development of six curricular projects that integrate mathematics based on the Common Core Mathematics Standards with science concepts from the Next Generation Science Standards combined with an engineering design pedagogy is the focus of this CAREER project.

This project examines middle school students’ graph literacy from an asset-based perspective, documenting the ways in which students think about graphs (i.e., their cognitive strategies and intuitive insights), and the ways in which instruction can build upon that thinking in order to support the development of graph literacy. Drawing from students’ graphical representations of real-life contexts (e.g., population growth) that span various mathematical domains, this program of research will develop a holistic theoretical framework that can inform mathematics instruction in multiple content areas.

The goal of this project is to extend the theoretical and methodological construct of noticing to develop the concept of reciprocal noticing, a process by which teacher and student noticing are shared. The researcher argues that through reciprocal noticing the classroom can become the space for more equitable mathematics learning, particularly for language learners.

This project will develop an intervention to support the teaching and learning of proof in the context of geometry. This study takes as its premise that if we introduce proof, by first teaching students particular sub-goals of proof, such as how to draw a conclusion from a given statement and a definition, then students will be more successful with constructing proofs on their own.

This project focuses on fostering equitable and inclusive STEM contexts with attention to documenting and reducing adolescents' experiences of harassment, bias, prejudice and stereotyping. This research will contribute to understanding of the current STEM educational climates in high schools and will help to identify factors that promote resilience in the STEM contexts, documenting how K-12 educators can structure their classrooms and schools to foster success of all students in STEM classes.