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In this project researchers are implementing and studying a research-based curriculum that was designed to help children in grades 3-5 prepare for learning algebra at the middle school level. Researchers are…
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In this project researchers are implementing and studying a research-based curriculum that was designed to help children in grades 3-5 prepare for learning algebra at the middle school level. Researchers are…
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This project is developing and testing a curricular learning progression of early algebra objectives and activities for students in grades 3 - 5. The goal of the work is to provide teachers with curricular…
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The project will research the implementation of Transition to Algebra, a year-long mathematics course for underprepared ninth grade students taken concurrently with Algebra 1 to provide additional support, and…
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The project is a longitudinal assessment of the prerequisite (e.g. fractions), cognitive (e.g. working memory), and non-cognitive (e.g. math anxiety) factors that dynamically influence 7-9th grade students'…
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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…
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This project proposes to study the teaching and learning of algebra in grades 7-9, with a specific focus on the ways in which classroom language explicitly describes properties of and relationships among…
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This research and development project provides resources for ninth-grade mathematics students and teachers by developing, piloting, and field-testing intervention modules designed as supplementary materials for…
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Effective “early” algebra interventions in elementary grades that can develop all students’ algebra readiness for later grades are needed. This study will use an experimental design to test the effectiveness of…
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This project will use classroom-based research to teach children about important algebraic concepts and to carefully explore how children come to understand these concepts. The primary goal is to identify levels…
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This project is initiating an innovative approach to pre-K students' development of quantitative reasoning through measurement. This quantitative approach builds on measurement concepts and algebraic design of…
Developing Concept of Variable Among Students with Mathematics Difficulties in Preparation for Algebra 1
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Understanding of algebra concepts is necessary for students to gain access to STEM pathways. However, recent efforts in education have failed to improve algebra outcomes for many students, especially those with…
Identifying Effective Instructional Practices that Foster the Development of Algebraic Thinking in Elementary School
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This project seeks to identify teaching practices that can be linked to students' early algebra learning in grades three, four and five. The goal of the project is to use assessment data and videos of classroom…
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This project investigates and expands teachers' learning to notice in two important ways. First, the research expands beyond teachers' noticing of written and verbal thinking to attend to gesture and other…
An Architecture of Intensification: Building a Comprehensive Program for Struggling Students in Double-Period Algebra Classes
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This project is carrying out a research and development initiative to increase the success rates of our most at-risk high school students—ninth-grade students enrolled in algebra classes but significantly…
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This project that creates a set of materials for middle grades students and teacher professional development that would support the learning of early algebra. Building on their prior work with an elementary…
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Project researchers are training pre-service teachers to tutor students with learning disabilities in Algebra 1, combining principles from special education, mathematics education, and cognitive psychology. The…
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The goal of this CAREER program of research is to identify, from a cross-cultural perspective, essential Algebraic Knowledge for Teaching (AKT) that will enable elementary teachers to better develop students'…
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Students who fail algebra in the ninth grade are significantly less likely than their peers to graduate from high school on time. This project intends to test a common support strategy for at-risk students that…
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This collaborative project is developing instruments to assess secondary teachers' Mathematical Habits of Mind (MHoM). These habits bring parsimony, focus, and coherence to teachers' mathematical thinking and,…
CAREER: From Research to Meta-Research to Practice – The Development of an Educational Learning Environment Framework for School Algebra
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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…
Math Snacks Early Algebra Using Games and Inquiry to Help Students Transition from Number to Variable
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This project will develop games to build conceptual understanding of key early algebra topics. The materials will be freely accessible on the web in both English and Spanish. The project will develop 4-5 games.…
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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…
Gateways to Algebraic Motivation, Engagement and Success (GAMES): Supporting and Assessing Fraction Proficiency with Game-Based, Mobile Applications and Devices
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This project is designing digital games for middle school students that will help them prepare for success in Algebra. The games are intended to help students gain a deep understanding of measurement and…
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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…
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EDC is developing a high school capstone course in linear algebra. Student resources contain a core semester that develops two- and three-dimensional geometry using vectors and that treats matrix algebra and its…
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This collaborative project is developing instruments to assess secondary teachers' Mathematical Habits of Mind (MHoM). These habits bring parsimony, focus, and coherence to teachers' mathematical thinking and,…
Foundations of Algebra in the Elementary and Middle Grades: Supporting Students to Make, Represent and Justify General Claims about Operations
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This project develops images, extended examples, and principles that illustrate how the articulation, representation and justification of general claims about operations evolve in the elementary grades and how…
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This project tests and refines a hypothetical learning trajectory and corresponding assessments, based on the collective work of 50 years of research in mathematics education and psychology, for improving…
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This project is reviewing and analyzing policy documents and studies related to Algebra I learning and teaching, in order to (1) gain a better understanding of algebra education in the United States; and (2)…
CAREER: Investigating Differentiated Instruction and Relationships Between Rational Number Knowledge and Algebraic Reasoning in Middle School
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The proposed project initiates new research and an integrated education plan to address specific problems in middle school mathematics classrooms by investigating (1) how to effectively differentiate instruction…
A Longitudinal Comparison of the Effects of the Connected Mathematics Program and Other Curricula on Middle School Students' Learning of Algebra
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This project compares the effects on algebraic learning when using the Connected Math Program to the effects of using other (non-NSF supported) middle school mathematics curriculum materials at the middle school…
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This project seeks to develop a personalized, scalable PD approach that centers on and builds from algebra teachers’ practices and individual strengths. The project will focus its PD efforts on instructional…
CAREER: Investigating Changes in Students' Prior Mathematical Reasoning: An Exploration of Backward Transfer Effects in School Algebra
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This project explores "backward transfer", or the ways in which new learning impacts previously-established ways of reasoning. The PI will observe and evaluate algebra I students as they learn quadratic…
Teaching and Learning Algebraic Thinking Across the Middle Grades: A Research-based Approach Using PhET Interactive Simulations
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This project addresses three central challenges: 1) the tendency for students to not engage in real mathematical thinking as they use technologies; 2) the tendency for teachers to not enact pedagogically-…
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The purpose of Project Delta is two-fold: (1) to extend an existing library of 17 interacting CD-ROM digital learning environments on numbers and operations by adding an algebra strand, and (2) to evaluate the…
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This project operationalizes research in number, operation, and early algebra. It builds on the paradigm of Dynamic Geometry (the interactive and continuous manipulation of geometric shapes and constructions)…
Examining Different Curricular Approaches and Their Impact on High School Students' Understanding of Algebra: Phase 1 -- Studying the Intended Curriculum
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We are analyzing the intended algebra curriculum as represented in a variety of high-school mathematics textbooks – Core Plus Mathematics Project (CPMP), Discovering Mathematics (Key Curriculum Press), EDC's…
Establishing a Partnership Between a Rural School and an Urban University to Support Algebra 1 Learning for Students with Learning Disabilities
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Tutoring programs that are jointly supported by schools and universities can offer benefits to both parties. The programs, however, are only helpful to the extent they respond to the needs and interests of the…
Development and Empirical Recovery for a Learning Progression-Based Assessment of the Function Concept
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The project will design an assessment based on learning progressions for the concept of function - a critical concept for algebra learning and understanding. The goal of the assessment and learning progression…
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This project will develop and systematically investigate a teaching model to assist teachers in developing ideas about proof in grades 2-5. The teaching model provides both a tool for learning on the part of…
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This project will support teacher capacity for implementing mathematical modeling lessons by engaging teachers in co-planning and co-teaching with researchers skilled in Emergent Bilingual (EB) mathematics…
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Advancing Reasoning addresses the lack of materials for teacher education by investigating pre-service secondary mathematics teachers' quantitative reasoning in the context of secondary mathematics concepts…
Engaging Secondary Students and Teachers Through a Proficiency-Based Assessment and Reassessment of Learning Outcomes (PARLO) System in Mathematics
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This project is researching the efficacy of a learning and assessment system that emphasizes students' attaining proficiency or better on a limited set of high value learning objectives in Algebra…
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This study can provide a basis for design research focused on developing effective materials and programs for flipped instruction in secondary mathematics, which is already occurring at an increasing rate, but…
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This project will use an alternative model for online videos to develop video units that feature the unscripted dialogue of pairs of students. The project team will create a repository of 6 dialogic mathematics…
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This project will develop three replacement units for biology and refine them through classroom testing. The units will be models of STEM integration by using the important concepts of proportional reasoning and…
The Development of Student Cohorts for the Enhancement of Mathematical Literacy in Under Served Populations
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This project is developing and conducting research on the Cohort Model for addressing the mathematics education of students that perform in the bottom quartile on state and district tests. The predicted outcome…
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This project uses items and data from the Program for International Student Assessment (PISA) to develop two kinds of resources for preparation and professional development of secondary mathematics teachers: one…
Mathematical Argumentation in Middle School: Bridging from Professional Development to Classroom Practice
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This exploratory project is working in collaboration with teachers to increase their knowledge of mathematics for teaching in middle school. In addition to geometry and algebra, the research component of the…
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This project is developing Core Math Tools, a suite of Java-based software including a computer algebra system (CAS), interactive geometry, statistics, and simulation tools together with custom apps for…
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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…
CAREER: Designing Learning Environments to Foster Productive and Powerful Discussions Among Linguistically Diverse Students in Secondary Mathematics
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This project will design and develop specialized instructional materials and guidelines for teaching secondary algebra in linguistically diverse classrooms. These materials will incorporate current research on…
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The primary goal of the project is to enhance secondary mathematics teacher education for pre-service teachers by developing, implementing and disseminating resources from a four-course curriculum that brings…
Evaluation of the Cognitive, Psychometric, and Instructional Affordances of Curriculum-embedded Assessments: A Comprehensive Validity-based Approach
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This project’s overarching goal is to evaluate the assessment components embedded within two NSF-supported mathematics curricula: Everyday Mathematics and Math Trailblazers. The investigators will apply a…
CAREER: Collaborative Learning with Classroom Networks: Integrating Technological and Pedagogical Innovations
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This project studies teaching practices in a year-long high school algebra course that integrates hand-held and other electronic devices. Of particular interest is how these technologies can support learners'…
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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),…
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This project uses learning analytics and educational data mining methods to examine how elementary students learn in an online game designed to teach fractions using the splitting model. The project uses data to…
Supports for Learning to Manage Classroom Discussions: Exploring the Role of Practical Rationality and Mathematical Knowledge for Teaching
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This project focuses on practicing and preservice secondary mathematics teachers and mathematics teacher educators. The project is researching, designing, and developing materials for preservice secondary…
Examining an Online, International Exchange Professional Development Program for High School Teachers
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This project aims to elaborate a structure for practice-oriented, collaborative professional development that increases the capacities for collaborative learning by facilitating teacher-to-teacher interactions…
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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…
Mathematics Discourse in Secondary Classrooms (M-DISC): A Case-Based Professional Development Curriculum
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This project is developing, designing, and testing materials for professional development leaders (e.g., teacher educators, district mathematics specialists, secondary mathematic department chairs) to use in…
TRUmath and Lesson Study: Supporting Fundamental and Sustainable Improvement in High School Mathematics Teaching (Collaborative Research: Donovan)
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Given the changes in instructional practices needed to support high quality mathematics teaching and learning based on college and career readiness standards, school districts need to provide professional…
TRUmath and Lesson Study: Supporting Fundamental and Sustainable Improvement in High School Mathematics Teaching (Collaborative Research: Schoenfeld)
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Given the changes in instructional practices needed to support high quality mathematics teaching and learning based on college and career readiness standards, school districts need to provide professional…
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This project develops and researches the academic potential of a hybrid instructional model that infuses computer simulations, modeling, and educational gaming into middle school technology education programs.…
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This project proposes an assessment study that focuses on improving existing measures of teachers' Mathematical Knowledge for Teaching (MKT). The research team will update existing measures, adding new items and…
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This project will explore the learning of mathematics through architectural tasks in an online simulation game, E-Rebuild. In the game-based architectural simulation, students will be able to complete tasks such…
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The PuM project develops and conducts research on a learning continuum for seamless instruction in middle school physical science and high school physics. The ultimate goal is to use physics as the context to…
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Research has shown that engaging students, including students from underrepresented groups, in appropriately structured reasoning activities, including argumentation, may lead to enhanced learning. This project…
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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…
Creating a Model for Sustainable Ambitious Mathematics Programs in High-Need Settings: A Researcher-Practitioner Collaboration
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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…
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This project is using data from interviews with 160 K-12 students and 20 adults to describe common understandings and progressions of development for negative number concepts and operations. The project is…
Enhancing Middle Grades Students' Capacity to Develop and Communicate Their Mathematical Understanding of Big Ideas Using Digital Inscriptional Resources (Collaborative Research: Phillips)
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This project will develop and test a digital platform for middle school mathematics classrooms to help students deepen and communicate their understanding of mathematics. The digital platform will allow students…
Building a Next Generation Diagnostic Assessment and Reporting System within a Learning Trajectory-Based Mathematics Learning Map for Grades 6-8
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This project will build on prior funding to design a next generation diagnostic assessment using learning progressions and other learning sciences research to support middle grades mathematics teaching and…
Investigating the Role of Collaboration on the Development of Student Ideas Using a Learning Progression for the Function Concept
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In this project, the team will address questions about how collaborative problem solving, learning progressions, and facilitation interact in the development of students’ mathematical learning. The work affords…
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The main goal of this project is to validate a set of rubrics that attend to the existence and the quality of instructional practices that support equity and access in mathematics classes. The project team will…
Co-Designing for Statewide Alignment of a Vision for High-Quality Mathematics Instruction (Collaborative Research: Wilson)
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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…
Co-Designing for Statewide Alignment of a Vision for High-Quality Mathematics Instruction (Collaborative Research: Mawhinney)
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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…
Co-Designing for Statewide Alignment of a Vision for High-Quality Mathematics Instruction (Collaborative Research: Schwartz)
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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…
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This project provides middle school students in a high poverty rural area in Northern Florida an opportunity to pursue post-secondary study in STEM by providing quality and relevant STEM design. The project will…
Nurturing Multiplicative Reasoning in Students with Learning Disabilities in a Computerized Conceptual-modeling Environment (NMRSD-CCME)
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The purpose of this project is to create a research-based model of how students with learning disabilities (LDs) develop multiplicative reasoning via reform-oriented pedagogy; convert the model into a computer…
CAREER: Designing and Enacting Mathematically Captivating Learning Experiences for High School Mathematics
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This project explores how secondary mathematics teachers can plan and enact learning experiences that spur student curiosity, captivate students with complex mathematical content, and compel students to engage…
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This project addresses a critical need, developing professional development materials to address the teachers of ELLs. The project will create resources to help teachers build ELLs' mathematical proficiency…
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The project will develop modules for grades 9-12 that integrate mathematics, computing and science in sustainability contexts. The project materials also include information about STEM careers in sustainability…
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This project aims to support teachers to engage their students in mathematical problem posing (problem-posing-based learning, or P-PBL). P-PBL is a powerful approach to the teaching and learning of mathematics,…
Building a Teacher Knowledge Base for the Implementation of High-Quality Instructional Resources through the Collaborative Investigation of Video Cases (Collaborative Research: DiNapoli)
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This project will address the pressing national need to generate shared, practice-based knowledge about how to implement freely available, high-quality instructional resources (mathematics formative assessment…
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This project will provide a field-based science and mathematics teacher education program that supports teaching focused on students’ affective development through culturally responsive practices. The project's…
Preparing Urban Middle Grades Mathematics Teachers to Teach Argumentation Throughout the School Year
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The objective of this project is to develop a toolkit of resources and practices that will help inservice middle grades mathematics teachers support mathematical argumentation throughout the school year. A…
Strengthening Middle School Mathematical Argumentation through Teacher Coaching: Bridging from Professional Development to Classroom Practice
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This project is a professional learning experience for middle school teachers to support them in developing five mathematical practices in their teaching focused on mathematical argumentation - creating…
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As a result of the COVID-19 pandemic, schools across much of the U.S. have been closed since mid-March of 2020 and many students have been attempting to continue their education away from schools. Student…
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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…
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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…
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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…
Improving Professional Development in Mathematics by Understanding the Mechanisms that Translate Teacher Learning into Student Learning
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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…
Developing and Evaluating Assessments of Problem-Solving in Computer Adaptive Testing Environments (Collaborative Research: Sondergeld)
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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…
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This project is studying measurement practices from pre-K to Grade 8, as a coordination of the STEM disciplines of mathematics and science. This research project tests, revises and extends learning trajectories…
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Despite the tremendous growth in the availability of mathematics videos online, little research has investigated student learning from them. The goal of this exploratory project is to create, investigate, and…
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This project builds upon the prior work by creating problem-solving measures for grades 3-5. The elementary assessments will be connected to the middle-grades assessments and will be available for use by school…
Developing and Researching K-12 Teacher Leaders Enacting Anti-bias Mathematics Education (Collaborative Research: Yeh)
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The goal of this project is to study the design and development of community-centered, job-embedded professional development for classroom teachers that supports bias reduction. The project team will partner…
Developing and Evaluating Assessments of Problem-Solving in Computer Adaptive Testing Environments (Collaborative Research: Bostic)
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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…
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This research and development project is premised on the notion that recent technological developments have made it feasible to represent classroom work in new ways. In addition to watching recorded videos of…
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The Graphing Research on Inquiry with Data in Science (GRIDS) project will investigate strategies to improve middle school students' science learning by focusing on student ability to interpret and use graphs.…
Multiple Instrumental Case Studies of Inclusive STEM-Focused High Schools: Opportunity Structures for Preparation and Inspiration (OSPrl)
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The aim of this project is to examine opportunity structures provided to students by inclusive STEM-focused high schools, with an emphasis on studying schools that serve students from underrepresented groups.…
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This five-year project investigates how to provide continuous assessment and feedback to guide students' understanding during science inquiry-learning experiences, as well as detailed guidance to teachers and…