Theses and DissertationsMathematics
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Aspects that Arise in the Transition from the Montessori Method to a Traditional Method: A Fourth Grade Mathematics View
(20170725)The purpose of the dissertation is to investigate three particular aspects that may affect the transition between a third grade Montessori system and a fourth grade nonMontessori system, specifically within the context ... 
Estimation of Survival Function for Intervalcensored Sexually Transmitted Disease Data.
(20160422)Attention often pivots on the distribution of the sexually transmitted disease (STD) true infection time based on intervalcensored event time data. It occurs in biological and medical studies such as medical followup ... 
Creating a pathway to STEM: Role of an informal mathematics program
(20160707)This dissertation presents the findings of a singlesite, qualitative, embedded case study involving four former (1990 – 2008) participants of an informal math program in US. The purpose of this study is to describe in my ... 
Computation of Liquid Drops Geometry with Motion of the Contact Curves
(20170725)This paper covers the modeling of homogenous liquids adhering to a uniform solid surface. It is divided into two separate problems: the sessile drop on a horizontal plane, and the liquid bridge between two horizontal planes ... 
The Double Sessile Drop
(20170711)We consider the double sessile drop, which is formed of two connected drops of liquid with prescribed volumes V1 and V2 resting in equilibrium on a horizontal plane P in a vertical gravity field directed toward P. We suppose ... 
Is Tutoring Teaching? Exploring Tutoring's Potential to Improve Mathematics Teacher Education
(20170424)This study investigated the tutoring practices of mathematics tutors working in one university tutoring center and the corresponding rationale exhibited by the mathematics tutors. This study illustrates how the tutoring ... 
A Characterization of Oriented Hypergraphic Laplacian and Adjacency Coefficients and Minors
(20170420)No abstract prepared. 
Cultivating Mathematical Affections: Developing a Productive Disposition through Engagement in ServiceLearning
(20170320)This research explores the impact of servicelearning on the affective outcomes of secondary mathematics curricula. This was a qualitative case study of high school students who recently completed a servicelearning project ... 
Numerical Solutions to Poisson's Equation Over NonUniform Discretizations with Associated Fast Solvers
(20170419)Partial differential equations (PDE's) lay the foundation for the physical sciences and many engineering disciplines. Unfortunately, most PDE's can't be solved analytically. This limitation necessitates approximate solutions ... 
Identifying Developmental Levels and Learning Trajectories in Statistics for Grade 612 Students
(20130712)Since the early 80s, reform movements have recommended increasing the content and rigor of statistics in school mathematics curriculum. Two important curriculum documents, the Guidelines for Assessment and Instruction in ... 
Geometry Teaching Knowledge: A Comparison Between PreService and High School Geometry Teachers
(20160419)Geometry is a field in mathematics that every student in the United States is required to study in order to fulfill high school graduation requirements. The literature shows that three possible reasons for poor performance ... 
Reflective Journaling as a Tool to Support Learning Mathematical Proof
(20160418)This study investigates how reflective writing supported students’ learning to prove in an Introduction to Advanced Mathematics course. The students submitted weekly journal entries that were composed of unstructured ... 
An Investigation of the Relationships between Conceptualization of Limits and Proof Comprehension
(20160413)This study investigates eighteen Real Analysis students’ informal and formal understanding of the mathematical concept of limits and the relationship on their comprehension of limit proofs. This study utilizes Tall and ... 
Cases of Teacher Noticing to Position Students in Linguistically Diverse Middle School Mathematics Classrooms
(20160329)This study investigated how professional mathematics teacher noticing occurs in linguistically diverse middle school mathematics classrooms. The study illustrates how three middle school mathematics teachers are using this ... 
The effects of smart pen narrated solution sets on student study routines and their perceptions of the solution sets as a help resource
(20140702)Calculus is a roadblock mathematics course. Students who struggle in calculus are unable to pursue their chosen educational track. Research has identified student study habits as one of several key factors for student ... 
Alignment in Students, Teaching Assistants, and Instructors on the Purpose and Practice of Calculus I Labs
(20150713)While national attention has been focused on increasing the number of STEM graduates, calculus remains a roadblock into the STEM pipeline. With only half of the students succeeding in a Calculus I course, research is needed ... 
The Use of Examples in a TransitiontoProof Course
(20150714)This study investigates the ways that undergraduate students use examples in their transitiontoproof course, and the influence that the instructor had on the students’ decisions to use examples. Observations and interviews ... 
The Role of Translanguaging in Latino Mathematics Classrooms
(20150717)Given the concerns about the mathematics achievement gap between Latinos and their majority counterparts, and since English learners (ELs) are an important percentage of Latino students in schools today, it is important ... 
Semantic treebased 3D model retrieval using 2D sketch queries
(20150715)Effectively and efficiently retrieving relevant 3D models (digital representation of objects in computer) for a 2D sketch query is important for various related appli cations. Due to the big semantic gap existing between ... 
A Fast Marching Level Set Method for the Stefan Problem
(20150417)The Stefan problem describes the change in temperature distribution with respect to time in a medium undergoing phase change. In this thesis we provide a unique combination of established numerical techniques to solve the ...