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The project will use a quasi-experimental design to explore students' knowledge of core algebraic concepts in middle grades (grade 6), one year after their completion of 3-year, grades 3-5 early algebra…
CAREER: Designing Learning Environments to Foster Productive and Powerful Discussions Among Linguistically Diverse Students in Secondary Mathematics
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Cyber-enabled Design Research to Enhance Teachers' Critical Thinking Using a Major Video Collection on Children's Mathematical Reasoning (Collaborative Research: Maher)
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This project is working to create a cyber infrastructure that supports development and documentation of additional interventions for teacher professional development using the video collection, as well as other…
Diagnostic E-learning Trajectories Approach (DELTA) Applied to Rational Number Reasoning for Grades 3-8
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This project aims to develop a software diagnostic tool for integrating diagnostic interviews, group administered assessments, and student data in real-time so that teachers can enter and view student status…
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This design and development project is an expansion of the Ongoing Assessment Project (OGAP), an established model for research-based formative assessment in grades 3-8, to the early elementary grades. The…
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This project will test new instructional approaches designed to help K-1 students comprehend place value. The project will emphasize the underlying relational structure of place value symbols, and target this…
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…
Using Cognitive Science Principles to Help Children Learn Place Value (Collaborative Research: Smith)
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This project will test new instructional approaches designed to help K-1 students comprehend place value. The project will emphasize the underlying relational structure of place value symbols, and target this…
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…
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…
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This project builds on the study of the Ongoing Assessment Project's (OGAP) math assessment intervention on elementary teachers and students and combines the intervention with research-based understandings of…
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This project builds on a prior study that demonstrated increases in students' knowledge of argumentation and their performance on mathematics assessments. The project will extend the use of the argumentation…
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…
Measuring Early Mathematical Reasoning Skills: Developing Tests of Numeric Relational Reasoning and Spatial Reasoning
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The primary aim of this study is to develop mathematics screening assessment tools for Grades K-2 over the course of four years that measure students' abilities in numeric relational reasoning and spatial…
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This project is developing a two-year, intensive professional development model to build middle-grades mathematics teachers’ knowledge and implementation of formative assessment. Using a combination of…
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The purpose of this project is to examine the process by which math language instruction improves learning of mathematics skills in order to design and translate the most effective interventions into practical…
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…
Engaging High School Students in Computer Science with Co-Creative Learning Companions (Collaborative Research: Magerko)
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This research investigates how state-of-the-art creative and pedagogical agents can improve students' learning, attitudes, and engagement with computer science. The project will be conducted in high school…
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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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This project targets first- and second-grade children who struggle to develop a deeper understanding of the mathematical strand of number and operation. The research team will (a) identify the various specific…
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This study seeks to describe trajectories that describe the ways in which Black learners develop as particular kinds of mathematical learners. The study takes place in the context of an established, multi-year…
Learning Trajectories as a Complete Early Mathematics Intervention: Achieving Efficacies of Economies at Scale
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The purpose of this project is to test the efficacy of the Learning and Teaching with Learning Trajectories (LT2) program with the goal of improving mathematics teaching and thereby increasing young students'…
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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…
Paving the Way for Fractions: Identifying Foundational Concepts in First Grade (Collaborative Research: Newcombe)
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The goal of this project is to investigate the extent to which individual differences in informal fraction-related knowledge in first-grade children are associated with short- and longer-term fractions and math…
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The goal of this project is to develop learning progressions and assessment items targeting computational thinking. The items will be used for a test of college-ready critical reasoning skills and will be…
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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This project will explore how children in grades K-2 understand visual representations of algebraic concepts. For instance, children might create tables or graphs to organize information about the relationship…
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The project continues and completes the development and refinement of an electronic Test of Early Numeracy (e-TEN) in English and Spanish, focused on number and operations for young learners. The assessment…
Unpacking Computational Thinking for Elementary Teachers and Learners (Collaborative Research: Albert)
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The goal of this project is to investigate the integration of computational thinking (CT) into elementary school curricula by studying how teachers develop expertise in integrating CT activities that align with…
Unpacking Computational Thinking for Elementary Teachers and Learners (Collaborative Research: Jocius)
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The goal of this project is to investigate the integration of computational thinking (CT) into elementary school curricula by studying how teachers develop expertise in integrating CT activities that align with…
Investigating Early Elementary Students' Computational Thinking Development in Integrated Mathematics-Coding Instruction
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Despite growing interest in supporting the integration of computational thinking (CT) in elementary education, there is not an agreed-upon definition of CT that is developmentally appropriate for early childhood…
Making the Building Blocks of Early Math Scalable, Accessible, and Viable for All Young Children and Their Teachers
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This project will build an interactive and integrated curricular and professional development technological system: the Building Blocks Toolset (BBToolset). The BBToolset is designed to benefit all early…
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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…
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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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This project is designing, developing, and testing an innovative approach to elementary students' learning in the critical areas of multiplicative reasoning, fractions, and proportional reasoning. The project is…
Development of a Cognition-Guided, Formative-Assessment-Intensive, Individualized Computer-Based Dynamic Geometry Learning System for Grades 3-8
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This project is focused on creating, testing, refining, and studying a computer-based, individualized, interactive learning system for intermediate/middle school students or by teachers in classrooms. This…
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LOCUS (Levels of Conceptual Understanding in Statistics) is an NSF Funded DRK12 project (NSF#118618) focused on developing assessments of statistical understanding. These assessments will measure students’…
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This project designs materials and an accompanying support system to enable the development of expertise in the teaching of mathematics at the elementary level. The project has four main components: online…
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This project engages high-school students as student-tutors who create screen-capture videos that demonstrate step-by-step solutions to mathematical problems and explicate the use of interactive applets. 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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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…
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…
CAREER: Fraction Activities and Assessments for Conceptual Teaching (FAACT) for Students with Learning Disabilities
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This project is documenting how students with learning disabilities (LD) access and advance their conceptual understanding of fractions. Rather than focusing on the knowledge students do not have,…
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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…
Improving Formative Assessment Practices: Using Learning Trajectories to Develop Resources That Support Teacher Instructional Practice and Student Learning in CMP2
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The overarching goal of this project is to develop innovative instructional resources and professional development to support middle grades teachers in meeting the challenges set by college- and career-ready…
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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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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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Most students learn about negative numbers long after they have learned about positive numbers, and they have little time or opportunity to build on their prior understanding by contrasting the two concepts. The…
CAREER: L-MAP: Pre-service Middle School Teachers' Knowledge of Mathematical Argumentation and Proving
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This program of research will examine how middle school pre-service teachers' knowledge of mathematical argumentation and proving develops in teacher preparation programs. The project explores the research…