Diagnostic E-Learning Trajectories Approach (DELTA)
Applied to Rational Number Reasoning for Grades 3-8
Collaborating Institution: North Carolina State University
Funded by: National Science Foundation
The DELTA project is designing diagnostic assessments for rational number reasoning (RNR), based on learning trajectories synthesized from the RNR literature. The key methodological theme of this work is the creation of valid and reliable student-centered assessments that track students’ development over time (within and between grades) in key mathematical ideas of RNR. The project’s long-term goal is to develop diagnostic tools that provide teachers with instructional guidance for both individual student and whole class progress.
The BEAR Center collaborates with North Carolina State University to elucidate progress variables for the various strands of RNR and to develop, calibrate, and validate innovative items that can be utilized across curricula. Our current work focuses on the equipartitioning progress variable, which we believe is the under-recognized foundation to the development of rational number reasoning. This work is the first step towards creating a diagnostic assessment system that starts with partitioning and expands into the other areas of rational number reasoning via the foundational links between partitioning and higher rational number progress variables.
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