Categorizing Students' Difficulties with Mathematical Proofs: Developing a Model of the Structure of Proof Construction

dc.contributor.advisor	Stewart, Sepideh
dc.contributor.author	Yamamoto, Tetsuya
dc.contributor.committeeMember	Albert, John
dc.contributor.committeeMember	Kyung-Bai, Lee
dc.contributor.committeeMember	Miller, Andrew
dc.contributor.committeeMember	Savic, Milos
dc.contributor.committeeMember	Terry, Robert
dc.date.accessioned	2015-05-27T14:29:54Z
dc.date.available	2015-05-27T14:29:54Z
dc.date.issued	2015-08-14
dc.date.manuscript	2015-05-19
dc.description.abstract	Studies have shown that proof construction is a challenging task for students at all levels. The purposes of my study were to examine students' difficulties with proof construction and to explore a practical method to help them overcome their difficulties. I created a model of the structure of proof construction. The model was useful in explaining students' difficulties and producing metacognitive knowledge for proof construction in the form of algorithm.	en_US
dc.identifier.uri	http://hdl.handle.net/11244/14637
dc.language	en_US	en_US
dc.subject	Mathematics.	en_US
dc.thesis.degree	Ph.D.	en_US
dc.title	Categorizing Students' Difficulties with Mathematical Proofs: Developing a Model of the Structure of Proof Construction	en_US
ou.group	College of Arts and Sciences::Department of Mathematics	en_US