Enquiries Into Students* Understanding Of Combinatorial Structures: Two studies examining undergraduate students* understanding of mathematics

Kavousian, Shabnam

ISBN 10: 3838385772 / ISBN 13: 9783838385778

Published by LAP LAMBERT Academic Publishing, 2010

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Seller Inventory # ERICA79638383857726

Bibliographic Details

• Title: Enquiries Into Students* Understanding Of Combinatorial Structures: Two studies examining undergraduate students* understanding of mathematics
• Publisher: LAP LAMBERT Academic Publishing
• Publication Date: 2010
• Language: English
• ISBN 10: 3838385772
• ISBN 13: 9783838385778
• Binding: Paperback
• Condition: Like New
• Book Type: book

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Synopsis

Philosophers and educational researchers have pondered and studied understanding for many years. From an educational perspective, illuminating how understanding is formed and improved can provide valuable theoretical and pedagogical insights. In this thesis, I examine students' understanding of combinatorics based on two specific research questions: How do students understand a new definition? How do students improve their understanding of a concept when it is challenged? In one study, I examined students' initial understanding of a new definition and the corresponding concept image. In the other study, I developed a methodology, mediated successive refinement, helping students change an inappropriate concept image. This methodology was based on learner-generated examples, and it encouraged students not only to reflect on their own examples, but also to reflect and modify their peers'. This study identified the different scenarios that can occur when a student's concept image is changing. It established mediated successive refinement as a methodological tool for providing valuable research data, and a pedagogical tool for helping students improve their understanding.

About the Author

Shabnam Kavousian is a mathematics instructor at Langara College in Vancouver. She received her PhD in mathematics education in 2008 from Simon Fraser University. Her primary research interests lie in the philosophical meaning, implications, and role of understanding in mathematics education.