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ClearWhat Can We Learn From an Assessment Item About Constructing Perpendicular Bisectors? Part 3: Looking at student responses and expert anticipations of those responses
Introduction This is the final installment of a three-part deep dive into a single assessment item the GRIP team designed to probe students’ knowledge of the student learning objectives (SLOs). Item 15301 was written for the purpose of investigating SLO 3, Secondary Geometry Understanding: Understand the ideas underlying the typical secondary geometry curriculum well enough to […]
What can we learn from an assessment item about constructing perpendicular bisectors? Part 1: Problematizing the premise of the item
Introduction Among the assessment items the GRIP team designed to probe students’ knowledge of the student learning objectives (SLOs), item 15301 was intended to target SLO 3, Secondary Geometry Understanding: Understand the ideas underlying the typical secondary geometry curriculum well enough to explain them to their own students and use them to inform their own teaching. Assessment […]
What can we learn from an assessment item about constructing perpendicular bisectors? Part 2: Anticipating responses to the item
Introduction Recall that GeT assessment item 15301 asks: Mr. Gómez taught students the usual procedure for constructing a perpendicular bisector for a segment. Veronica asked Mr. Gómez to explain why the construction works, meaning how they can be sure that the line that is constructed is indeed perpendicular to the segment and passes through the midpoint. […]