Our research focuses on the e-assessment of challenging ‘construction’ e-tasks designed to function as a dynamic interactive environment of multiple linked representations (MLR); we explore the effect of constraints on the variation in the students’ response space. Students are asked to determine whether an existential statement is correct. If they answer “yes,” they construct an example in a MLR environment to support their answer; otherwise, they provide an explanation. The submitted example may be a sketch or an algebraic expression that can be checked automatically. Using a design-based research methodology, we describe a two-cycle study, focusing on one e-task on the topic of tangency to a function. Findings suggest that adding constraints to a logical mathematical statement enriches the variation of the response space and helps reveal different characteristics of students’ thinking.
|Title of host publication||Classroom Assessment in Mathematics|
|Subtitle of host publication||Perspectives from Around the Globe|
|Editors||Denisse R. Thompson, Megan Burton, Annalisa Cusi, David Wright|
|State||Published - 2018|