Digital Commons Network^™

Infinite Mode Quantum Gaussian States., Tiju Cherian John Dr.

Doctoral Theses

No abstract provided.

Media Pembelajaran Berbantuan Komputer Untuk Meningkatkan Prestasi Siswa Kelas Xii Sma Pada Materi Kaidah Pencacahan, Pujianto Pujianto, Swasono Rahardjo

Jurnal Pendidikan: Teori, Penelitian, dan Pengembangan

The purpose of developing this computer-assisted learning media is to improve student learning achievement in rules for high school class XII students. The research development model uses the Plomp model divided into five stages, namely (1) initial investigation, (2) design, (3) making, (4) trial and revision, and (5) application. This media is called Bel Kaca. The results of this study are computer-assisted learning media that are valid, effective, and practical for use in teaching and learning activities.

Math-Biology Seminar | Role Of Limsup In Definition Of Topological Entropy, Feb 5, Ohio University College Of Arts & Sciences

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No abstract provided.

Mathematics Seminar Distributive Magmas, Feb 21, Ohio University College Of Arts & Sciences

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No abstract provided.

Mathematics Seminar Numerical Methods For Solving Integral Equations, Feb 7, Ohio University College Of Arts & Sciences

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No abstract provided.

Ring Theory Seminar | Intersections Of Ultrapowers, Feb 22, Ohio University College Of Arts & Sciences

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No abstract provided.

Math Biology Seminar | Steady States Of Lattice Models Of Population Models With Immigration, Feb 19, Ohio University College Of Arts & Sciences

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No abstract provided.

Estimating The Density Of The Abundant Numbers, Dominic Klyve, Melissa Pidde, Kathryn E. Temple

Mathematics Faculty Scholarship

Mathematicians have been interested in properties of abundant numbers – those which are smaller than the sum of their proper factors – for over 2,000 years. During the last century, one line of research has focused in particular on determining the density of abundant numbers in the integers. Current estimates have brought the upper and lower bounds on this density to within about 10−4, with a value of K ≈ 0.2476, but more precise values seem difficult to obtain. In this paper, we employ computational data and tools from inferential statistics to get more insight into this value. We also …

Sandor Szathmari's Kazohinia: Mathematics And The Platonic Idea, Susan J. Siggelakis

Journal of Humanistic Mathematics

In this article I analyse Sándor Szathmári’s utopian, satiric novel, The Voyage to Kazohinia, as an exercise in the portrayal of Platonist ideas. Through a discussion specifically of Szathmári’s portrayal of the way mathematics is conceived in two different, imaginary societies, I aim to reveal his preoccupation with exploring a solution to the essential political and moral problem of the alienation of interests between the individual and the group. This analysis locates Szathmari’s ideas within the Platonic tradition as well as within the context of 20^th century philosophical ideas, particularly those of Georg Lukács. Szathmári’s portrayal of two …

Extending Set Functors To Generalised Metric Spaces, Adriana Balan, Alexander Kurz, Jiří Velebil

Mathematics, Physics, and Computer Science Faculty Articles and Research

For a commutative quantale V, the category V-cat can be perceived as a category of generalised metric spaces and non-expanding maps. We show that any type constructor T (formalised as an endofunctor on sets) can be extended in a canonical way to a type constructor T_V on V-cat. The proof yields methods of explicitly calculating the extension in concrete examples, which cover well-known notions such as the Pompeiu-Hausdorff metric as well as new ones.

Conceptually, this allows us to to solve the same recursive domain equation X ≅ TX in different categories (such as sets and metric spaces) and …

No Bones About It: How Digital Fabrication Changes Student Perceptions Of Their Role In The Classroom, Alexandria K. Hansen, Jasmine K. Mcbeath, Danielle B. Harlow

Journal of Pre-College Engineering Education Research (J-PEER)

This study used cultural historical activity theory to make meaning of a digital fabrication project situated in the complexity of a classroom. Using an ethnographic perspective, we observed 14 students (aged 13–14) in a middle school’s creative design and engineering class inspired by the Maker Movement. Working with the classroom teacher, a professional stuntman tasked students with fabricating a prosthetic bone for use as a movie prop using their understanding of science, technology, engineering, and mathematics. Teacher interviews and student focus groups revealed differences in perceptions between their science class and engineering class. Additionally, affordances and constraints of the 3D …

Alumni News | Rienerth's Life As A Sociologist, Ohio University College Of Arts & Sciences

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No abstract provided.

Proof By Contradiction: Teaching And Learning Considerations In The Secondary Mathematics Classroom, Gregory Hine

Education Papers and Journal Articles

This professional practice paper is underpinned philosophically by the indisputable centrality of proof to the discipline of mathematics. Proof offers students the opportunity to deepen their own understanding of mathematical ideas, to construct and defend logical arguments, and to think critically about the veracity of mathematical statements. Such opportunities afford students key skills required for further study, and arguably for a myriad of careers. Proof by contradiction is a particular mathematical technique taught in Australian senior secondary classrooms (ACMSM025, ACMSM063) which will be explored in this paper. In particular, several worked examples will be outlined alongside implications for best instructional …

What Gendered Constructs About Mathematics Do Parents Have As Their Children Begin School In Australia?, Rachelle Glynn

Education Conference Papers

This study investigated whether parents have gendered constructs related to mathematics. Parents and their kindergarten-aged children from three primary schools in Sydney were interviewed to see what their understandings of boys’ and girls’ interests and abilities in mathematics were. Parents completed the Who and Mathematics questionnaire and were interviewed to determine if there were any gendered understandings and exactly what they were. The data shows that parents believe that boys are more likely to have an aptitude and interest in mathematics. In contrast, girls are perceived as more anxious, harder workers and in addition, that they have to work harder …

Mathematics Information Card, Southern Adventist University

Academic Information Cards

Southern Adventist University's Mathematics 2019 information brochure.

Efficient Numerical Methods For Chemotaxis And Plasma Modulation Instability Studies, Truong B. Nguyen

Browse all Theses and Dissertations

In this thesis, we develop efficient numerical solvers for nonlinear systems of partial differential equations (PDEs). These systems of PDEs concern two different sets of physical problems. The first set includes chemotaxis models such as Keller-Segel models and cancer cell invasion models. Solutions of these models are observed to experience the blow-up phenomenon or the development of sharp and spiky features. Therefore, efficient and accurate numerical techniques must be employed in order to capture the solutions' behaviors. For this research, we design efficient solvers for these systems in the one and two spatial dimensions. In particular, we plan to apply …

Effects Of Professional Learning Communities On Instructional Revisions In Secondary Mathematics Classrooms, John Kenneth Bond

Theses, Dissertations and Capstones

This non-experimental, descriptive study examined the effect(s), if any, that professional learning communities have had on the professional practices of secondary (grades 9-12) mathematics teachers in Boone, Clay, Putnam, and Kanawha counties in West Virginia. Also investigated were the potential differences in instructional-practice change(s) based on selected demographic variables: sex, degree level, the grade level taught, the total years of teaching experience, the total number of years in their current position, the specific math subject taught, the total number of years of PLC participation, and the composition (e.g., departmental, cross-curricular, or both) of participants’ PLC. Data were collected from a …

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 …

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 …

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 …

Examining Predictor Measures For Students' Testing In The International Baccalaureate Diploma Programme, Shannon Siebe

Ed.D. Dissertations

The purpose of this study was to explore the relationships between both student achievement and growth in 9th and 10th grade English and math courses and achievement on International Baccalaureate English and math exams. The researcher examined student end-of-course exam scores, student growth values, and International Baccalaureate English and math exam scores from an International Baccalaureate World School across 4 graduating cohorts, including 305 students. The researcher concluded that while 9th grade math end-of-course exam achievement does not significantly predict International Baccalaureate math exam scores, student growth in 9th grade math does. The researcher also concluded that Advanced Placement Language …

The Oasis Skateboard Factory: Return To The One-Room Schoolhouse, William Robertson

Selected Works Temporary Series

How can you get young people interested in science and mathematics? What efforts are there to integrate the experiences of high school students into the things they need to do and learn in school? How can action sports, like skateboarding be used to teach science, mathematics, language arts, history and help at-rick and marginalized students to grow in their engagement and motivation in high school, as well as to graduate? This is in part answered at the Oasis Skateboard Factory (OSF) an alternative high school in Toronto, Canada. The factory, under the direction of founding teacher Craig Morrison, has enjoyed …

The Masters Of Physics: Critical Thinking Through Skateboarding, William Robertson

Selected Works Temporary Series

This paper focuses on the use of live action and video instruction as a method of content dissemination and to motivate students in learning in science, technology, engineering and mathematics (STEM) education. Specifically, this area, dubbed “edutainment”, chronicles different interactions with students, teachers and community members that utilized live action to video as methods of capturing relevant content in student-centered contexts. The fundamental idea is to infuse one's passion into modern methods of teaching, and to inspire others to use their gifts in their education, and thereby connect them to their dreams and aspirations.

A Study Of Effective Professional Development For Teaching Elementary Mathematics In Majority Economically Disadvantaged Schools, Cory Concus

All-Inclusive List of Electronic Theses and Dissertations

This quantitative study focused on mathematical professional development for high-poverty elementary schools in Tennessee. The purpose of this study was to determine if there was a significant difference in teacher perspective regarding three research-based categories: teacher preparation, teacher beliefs, and instructional practices. Each of the categories was viewed through teachers years of experience, school achievement, and school poverty level. For the purposes of this study, school poverty level was partitioned into three groups. Data analysis revealed a statistically significant difference in teacher beliefs and instructional practices between the second and third highest poverty levels.

Quantitative Biology Seminar: Discovering Dynamic States Of Neural Populations, Jan 22, Ohio University College Of Arts & Sciences

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No abstract provided.

Mathematics Seminar Guide To Mathematics Job And Internship Searches, Jan 24, Ohio University College Of Arts & Sciences

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No abstract provided.

Ring Theory Seminar | Krull Dimension Of Power Series Rings, Jan 25, Ohio University College Of Arts & Sciences

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No abstract provided.

The Masters Of Physics: Critical Thinking Through Skateboarding, William Robertson

Departmental Papers (TE)

This paper focuses on the use of live action and video instruction as a method of content dissemination and to motivate students in learning in science, technology, engineering and mathematics (STEM) education.  Specifically, this area, dubbed “edutainment”, chronicles different interactions with students, teachers and community members that utilized live action to video as methods of capturing relevant content in student-centered contexts. The fundamental idea is to infuse one's passion into modern methods of teaching, and to inspire others to use their gifts in their education, and thereby connect them to their dreams and aspirations.

The Oasis Skateboard Factory: Return To The One-Room Schoolhouse, William Robertson

Departmental Papers (TE)

How can you get young people interested in science and mathematics? What efforts are there to integrate the experiences of high school students into the things they need to do and learn in school? How can action sports, like skateboarding be used to teach science, mathematics, language arts, history and help at-rick and marginalized students to grow in their engagement and motivation in high school, as well as to graduate? This is in part answered at the Oasis Skateboard Factory (OSF) an alternative high school in Toronto, Canada. The factory, under the direction of founding teacher Craig Morrison, has enjoyed …

Final Report: Utilizing Oer Resources To Strengthen The Student Experience In Geometry, Theresa Jorgensen

Mavs Open Press Open Educational Resources - Archive

Dr. Theresa Jorgensen's final report for the UTA CARES Grant Program