Browsing by Author "Miller, Andrew"
Now showing items 1-4 of 4
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Categorizing Students' Difficulties with Mathematical Proofs: Developing a Model of the Structure of Proof Construction
Yamamoto, Tetsuya (2015-08-14)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 ... -
Dehn Functions of the Stallings-Bieri Groups and Constructions of Non-Unique Product Groups
Carter, William (2015-05-08)This thesis will consist of two separate halves in which we will present results concerning two different families of finitely generated torsion-free groups. The themes of each half are quite different and are related to ... -
Geodesic fibrations of elliptic 3-manifolds
Tucker, Cherith Anne (2013)The well-known Hopf fibration of S3 is interesting in part because its fibers are geodesics, or great circles, of S3. However, this is not the only great circle fibration of S3. In 1983, Herman Gluck and Frank Warner ... -
Totally Reflected Groups
Wright, Rachel (2016-05-13)A group G is totally reflected if it has a generating set S such that each edge in the Cayley graph Gamma(G,S) is inverted by some color-preserving reflection on the graph. For example, we will show that Coxeter groups and ...