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Education Commons

Open Access. Powered by Scholars. Published by Universities.®

2015

Physical Sciences and Mathematics

Portland State University

Abstract algebra -- Study and teaching

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The Design And Validation Of A Group Theory Concept Inventory, Kathleen Mary Melhuish Aug 2015

The Design And Validation Of A Group Theory Concept Inventory, Kathleen Mary Melhuish

Dissertations and Theses

Within undergraduate mathematics education, there are few validated instruments designed for large-scale usage. The Group Concept Inventory (GCI) was created as an instrument to evaluate student conceptions related to introductory group theory topics. The inventory was created in three phases: domain analysis, question creation, and field-testing. The domain analysis phase included using an expert consensus protocol to arrive at the topics to be assessed, analyzing curriculum, and reviewing literature. From this analysis, items were created, evaluated, and field-tested. First, 383 students answered open-ended versions of the question set. The questions were converted to multiple-choice format from these responses and disseminated …