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DEVELOPING MATHEMATICS FOR TEACHING THROUGH CONCEPT STUDY: A CASE OF PRE-SERVICE TEACHERS IN TANZANIA
DownloadSpring 2019
This descriptive qualitative case study investigates the question “In what ways does developing mathematics for teaching through concept study contribute to the professional knowledge and skills of pre-service teachers?” The concept studies were conducted in a classroom driven by five conditions:...
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Spring 2019
Let $G$ be a linear algebraic group defined over a ground field $k$, and let $\mu$ be a $\Gal(k^\sep/k)$-module.A \tb{cohomological invariant} is a morphism $a:H^1(-,G)\to H^n(-,\mu)$ of two functors from the category of field extensions over $k$ to the category of setswhere $H^1(-,G)$ is the...
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Fall 2014
Primarily the conversation surrounding humanities computing has been mainly focused on defining the relationship between humanities computing and conventional humanities, while the relationship humanities computing has to computers, and by extension mathematics, has been mainly ignored. The...
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Fall 2013
This thesis considers PVol (Percentage of Volume) strategies, which are an often used type of algorithmic trading strategies. In a PVol strategy, the broker aims to bring the order execution speed in line with a percentage of the market volume. This target percentage and the total order size are...
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Fall 2018
In this thesis, we explore the relationship between graphical representations of the 1-dimensional N-extended supersymmetry algebra called Adinkras, compact Riemann surfaces, and quivers. An Adinkra is a graph which was originated in physics to study off-shell representations of the supersymmetry...
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Fall 2023
The affine vertex superalgebra A=L^1(D(2,1;-v/w)) plays a key role as the geometric Langlands kernel VOA for SVOAs associated to so(3), osp(1|2) and other rank one Lie superalgbras. Since D(2,1;a) is an extension of the direct sum of 3 copies of sl(2), A can be naturally realized as an...
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Spring 2019
Atkin and Swinnerton-Dyer conjectured a simple characterization of those Fuchsian groups whose modular forms have integral Fourier coefficient. It has a natural and far-reaching generalization, which we will call the vASD conjecture, to vector-valued modular forms. We confirm vASD conjecture for...
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Fall 2012
Functional Magnetic Resonance Imaging (fMRI) measures the dynamic activity of each voxel of a brain. This dissertation addresses the challenge of learning a diagnostic classifier that uses a subject’s fMRI data to distinguish subjects with neuropsychiatric disorders from healthy controls. fMRI...
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Fall 2020
The kinetic chemotaxis equations have long been used to model biological processes. We will analyze a volume filling variant of the kinetic chemotaxis equations on the torus. Since the kinetic chemotaxis systems have well known blow-up solutions, we spend a considerable amount of time showing...
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Fall 2023
The aim of this thesis is to provide an exposition to Mochizuki and Hoshi's approach to birational anabelian geometry of mixed characteristic local fields. In the introductory chapter, we begin by recalling the relevant backgrounds on the Grothendieck conjectures on the étale fundamental groups...