skip to main content skip to footer

The Development of a Quadratic Functions Learning Progression and Associated Task Shells CBAL CCSS

Graf, Edith Aurora; Fife, James H.; Howell, Heather; Marquez, Elizabeth
Publication Year:
Report Number:
ETS Research Report
Document Type:
Page Count:
Subject/Key Words:
Learning Progression, Mathematics Education, Algebra, Equations (Mathematics), Functions (Mathematics), Task Shells, Mathematics Problem Solving, Cognitively Based Assessment of, for, and as Learning (CBAL), Common Core State Standards (CCSS)


In this report, we discuss background research on the development of student understanding of quadratic functions and present a provisional learning progression for quadratic functions and quadratic equations. We also describe task shells that are linked to the learning progression. The learning progression and task shells can be used as a starting point to develop tasks that assess student standing with respect to the theory of development. The intention is that this report should find an audience in both researchers and test developers.

Read More