Digital Commons Network^™

Effective Instructional Strategies In Sixth Grade Inclusion Mathematics Classrooms: The Effect Of Active And Passive Engagement On Concept Learning And Opportunity To Learn, Christy Mikolaj

Electronic Theses and Dissertations

The purpose of this mixed-method study focused on the effect of active engagement on opportunity to learn and concept learning among sixth grade special education students participating in the inclusion mathematical setting. By implementing two instructional strategies and using the theoretical frameworks of Vygotsky’s Social Constructivism and Erikson’s Stage of Psychosocial Development of Industry vs. Inferiority, findings showed there was a significant negative relationship between active engagement time during instruction and concept learning. The study showed students with identified needs within an inclusion mathematics setting increased concept learning in both instructional classrooms. Therefore, there was no difference in concept learning …

Investigating The Transfer Of Metacognition To Domains Distinct From Mathematics, Justin Teeuwen

Electronic Theses and Dissertations

The purpose of the present research was to investigate the transfer of metacognition from mathematics to other domains for a post-secondary population. A systematic literature review revealed potential transferability for metacognitive strategic knowledge, metacognitive planning, monitoring, and debugging. Mevarech and Kramarksi’s (1997) IMPROVE model was modified to incorporate the explicit instruction of transfer and then used as the metacognitive intervention for a beginner-level calculus course at the University of Windsor. This occurred over a period of five weeks with n = 90 participants for each of the experimental and control groups. A concurrent, triangulated mixed-method research design was employed to …

Barrier Graphs And Extremal Questions On Line, Ray, Segment, And Hyperplane Sensor Networks, Kirk Anthony Boyer

Electronic Theses and Dissertations

A sensor network is typically modeled as a collection of spatially distributed objects with the same shape, generally for the purpose of surveilling or protecting areas and locations. In this dissertation we address several questions relating to sensors with linear shapes: line, line segment, and rays in the plane, and hyperplanes in higher dimensions.

First we explore ray sensor networks in the plane, whose resilience is the number of sensors that must be crossed by an agent traveling between two known locations. The coverage of such a network is described by a particular tripartite graph, the barrier graph of the …

Telling Our Stories: Exploring The Path Toward Successful Mathematics Degree Attainment At An Under-Resourced Predominantly Black Institution, Lauren E. Mckittrick

Electronic Theses and Dissertations

The under-representation of Blacks in mathematics related professions stems from an American educational system of inequity. Many Black students, including a substantial proportion of those who enroll at Predominantly Black Institutions, attend elementary and secondary schools in under-resourced districts with limited access to quality teachers and rigorous, culturally-relevant instruction that would adequately prepare them for college attainment in mathematics.

The primary research question guiding this study was: What are the challenges and opportunities associated with building and sustaining a successful mathematics degree program at an under-resourced Predominantly Black Institution? Concurrently, this interpretive case study examined and documented the experiences of …

Applications Of Geometric And Spectral Methods In Graph Theory, Lauren Morey Nelsen

Electronic Theses and Dissertations

Networks, or graphs, are useful for studying many things in today’s world. Graphs can be used to represent connections on social media, transportation networks, or even the internet. Because of this, it’s helpful to study graphs and learn what we can say about the structure of a given graph or what properties it might have. This dissertation focuses on the use of the probabilistic method and spectral graph theory to understand the geometric structure of graphs and find structures in graphs. We will also discuss graph curvature and how curvature lower bounds can be used to give us information about …

Decidability For Residuated Lattices And Substructural Logics, Gavin St. John

Electronic Theses and Dissertations

We present a number of results related to the decidability and undecidability of various varieties of residuated lattices and their corresponding substructural logics. The context of this analysis is the extension of residuated lattices by various simple equations, dually, the extension of substructural logics by simple structural rules, with the aim of classifying simple equations by the decidability properties shared by their extensions. We also prove a number of relationships among simple extensions by showing the equational theory of their idempotent semiring reducts coincides with simple extensions of idempotent semirings. On the decidability front, we develop both semantical and syntactical …

A First-Year Teacher’S Implementation Of Short-Cycle Formative Assessment Through The Use Of A Classroom Response System And Flexible Grouping, Adrienne Irving Dumas

Electronic Theses and Dissertations

As teachers we are tasked with ensuring that our students are equipped with the skills necessary to not only perform with proficiency on local state and national assessments but also to provide our students with opportunities to develop confidence and competence as learners of mathematics through meaningful challenging and worthwhile activities. As such many teachers have turned to technology and cooperative groups as staples in the classroom. The purpose of this study was to understand how one first-year teacher implemented what she was taught in her undergraduate coursework in teaching two specific units of instruction in two sections of high …

Beta Invariant And Variations Of Chain Theorems For Matroids, Sooyeon Lee

Electronic Theses and Dissertations

The beta invariant of a matroid was introduced by Crapo in 1967. We first find the lower bound of the beta invariant of 3-connected matroids with rank r and the matroids which attain the lower bound. Second we characterize the matroids with beta invariant 5 and 6. For binary matroids we characterize matroids with beta invariant 7. These results extend earlier work of Oxley. Lastly we partially answer an open question of chromatic uniqueness of wheels and prove a splitting formula for the beta invariant of generalized parallel connection of two matroids. Tutte's Wheel-and-Whirl theorem and Seymour's Splitter theorem give …

Two Way Street: An Applied Research Study On The Effects Of Increased Parent And Community Involvement Activities On Student Academic Growth In Mathematics At South Lee Middle School, Jason Clifton Arledge

Electronic Theses and Dissertations

The purpose of this study was two-fold. The first overarching goal was to increase student academic growth on the Mississippi Academic Assessment Program mathematics assessment to at least 75%. This was attempted through implementation of grade-level Remind services and the Red Raider Family program. The second overarching goal was to create a cycle of continuous improvement through feedback from key stakeholders in the form of surveys, interviews, focus groups, document analysis, and descriptive statistics. South Lee Middle School evaluated each of these initiatives and utilized resources to adjust these programs for use in the 2018-2019 school year.

Cramer Type Moderate Deviations For Random Fields And Mutual Information Estimation For Mixed-Pair Random Variables, Aleksandr Beknazaryan

Electronic Theses and Dissertations

In this dissertation we first study Cramer type moderate deviation for partial sums of random fields by applying the conjugate method. In 1938 Cramer published his results on large deviations of sums of i.i.d. random variables after which a lot of research has been done on establishing Cramer type moderate and large deviation theorems for different types of random variables and for various statistics. In particular results have been obtained for independent non-identically distributed random variables for the sum of independent random to estimate the mutual information between two random variables. The estimates enjoy a central limit theorem under some …

Feedback In The Flipped High School Stem Classroom, Trisha Michele Gilbreath

Electronic Theses and Dissertations

This study examined how much feedback students received in the flipped high school science, technology, engineering and math (STEM) classroom. The flipped classroom is a pedagogical technique where students watch video instruction at home and complete collaborative activities in class. This technique has gained popularity in recent years, especially in STEM classrooms. The literature on the flipped classroom is inconclusive, with studies mainly conducted in higher education. Student and instructor perceptions were often studied, and those perceptions are generally positive about the flipped classroom, though there are concerns to consider. Student performance shows that the flipped classroom is at least …

An Examination Of The Relationship Among The Intentions, Features, Affordances, And Outcomes Of Saturday Academy For Math Professional Development For Mathematics Teachers, Brian Buckhalter

Electronic Theses and Dissertations

Using a design framework to connect the features of SA4M to the affordances reported, participants of SA4M deepened their content knowledge on both conceptual and skill specific levels, and expressed intentions to incorporate many of the tasks from SA4M into their practices. There are implications for those tasked with creating and evaluating professional development for teachers.