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Kim, Eun Mi; Oláh, Leslie Nabors; Peters, Stephanie – ETS Research Report Series, 2020
K-12 students are expected to acquire competence in data display as part of developing statistical literacy. To support research, assessment design, and instruction, we developed a hypothesized learning progression (LP) using existing empirical literature in the fields of mathematics and statistics education. The data display LP posits a…
Descriptors: Mathematics Education, Statistics Education, Teaching Methods, Data Analysis
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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
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Fife, James H.; James, Kofi; Peters, Stephanie – ETS Research Report Series, 2020
The concept of variability is central to statistics. In this research report, we review mathematics education research on variability and, based on that review and on feedback from an expert panel, propose a learning progression (LP) for variability. The structure of the proposed LP consists of 5 levels of sophistication in understanding…
Descriptors: Mathematics Education, Statistics Education, Feedback (Response), Research Reports