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Kim, Eun Mi; Oláh, Leslie Nabors – ETS Research Report Series, 2019
In this study, we investigated the potential of a hypothesized geometrical measurement learning progression (LP) to examine students' thinking and understanding in this domain.We interviewed 30 third to fifth graders using 3 LP-based cognitive tasks that asked the students to find the length, perimeter, area, surface area, and volume measurement…
Descriptors: Elementary School Students, Geometry, Measurement, Grade 3
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Fife, James H.; James, Kofi; Bauer, Malcolm – ETS Research Report Series, 2019
In this paper, a learning progression for geometric transformations is developed based on research that demonstrates the importance of viewing transformations as functions of the plane. The 5 levels of the progression reflect a student's evolving understanding of transformations as functions and their evolving understanding of the domain of these…
Descriptors: Mathematics Instruction, Common Core State Standards, Geometric Concepts, Learning Processes