Theses and DissertationsMathematics
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Extremal Cayley Graphs
(201208)Let Γ be a finite group with m elements. Let A be a nonempty subset of Γ. The Cayley digraph of Γ generated by A, denoted by Cay (Γ, A), is the digraph with vertex set Γ and arc set {uv  u1v ∈ A}. A simple ...

A Proposal for Making a Decision from Sample Elements of any Distribution Function
(197108)No abstract prepared. 
A Grouptheoretic Characterization of Mgroups
(200408)I. Martin Isaacs, among others, has posed the problem of finding a purely grouptheoretic characterization of Mgroups which traditionally are defined via character theory. This thesis seeks to understand and answer ...



Exploring the Instructional Coherence of Introduction to Fractions in Chinese Classrooms
(202008)The study investigated the instructional coherence of Chinese teachers’ teaching in grade 3 mathematics classroom from Shandong, China. The study illustrates how the three Chinese teachers provide students with opportunity ...

Transition Between Education and Profession: Experiences of Statisticians
(202008)The transition to the workplace is challenging across disciplines, but particularly decisive for statisticians since the demand for statistical skills is growing across many different fields and sectors. The employment ...

Elementary Preservice Teachers' Conceptions of and Reflections on Student Autonomous ProblemSolving and Mathematical Practices
(202008)The findings of this dissertation study are from a singlesite, qualitative, case study involving undergraduate elementary preservice teacher participants from a twoweek summer mathematics camp for elementary and middle ...



Relationships Between Integrable Functions and their Absolute Values
(197205)No abstract prepared. 

Application of the LefschetzHopf Fixed Point Theorem to Closed Orientable Surfaces
(200712)No abstract prepared. 
Quasicontinuous Functions and Functions of Bounded Variation
(196508)The purpose of this investigation is threefold. First, since quasicontinuous functions are a generalization of continuous functions, properties of quasicontinuous functions similar to the properties of continuous functions ... 
Stokes' Theorem: Calculus of Differential Forms
(200412)This thesis connects a number of fields of mathematics in relation to Euclidean nspace. It defines the meanings of differentiation for functions between these spaces and gives an exposition of the inverse function theorem. ... 


Exploring Prospective Elementary Teacher's PeerInterviewer Verbal Interactions in a Mathematics Content Course
(202005)Responsive teaching interactions, an effective teaching practice, are difficult to develop. To train prospective elementary teachers of mathematics to interact responsively with students completing mathematics tasks, we ... 
Necklaces and Slimes
(202005)It was asked if one can find a bijective map between the following two objects: binary necklaces with n black beads and k white beads and certain (n, k)codes whose weighted sum is 0 modulo n (Brauner et al.,2019 [9]; ...

Finding an Upper Bound to the Order of Permutation Groups Using the Size of the Largest Conjugacy Class
(202005)No abstract prepared.