Digital Commons Network^™

Mathematical Models And Pedagogy Of Marxist Political Economy, Christopher Perez

Journal of Humanistic Mathematics

How can we teach people about the economics of labor and exploitation in mathematics courses? We define a mathematical model for describing the relationships embodied by commodities and labor. We then use this model to illustrate the exploitative nature of profit and the tendency for catastrophic chain-reactions that lead to market crashes. Lastly, we discuss applications to pedagogy in mathematics courses using a simplified version of the model.

The Braids On Your Blanket, Michelle Cheng, Robert Uwe Laugwitz

Journal of Humanistic Mathematics

In this expository essay, we introduce some elements of the study of groups by analysing the braid pattern on a knitted blanket. We determine that the blanket features pure braids with a minimal number of crossings. Moreover, we determine polynomial invariants associated to the links obtained by closing the braid patterns of the blanket.

What Is An Imaginary Number? The Plane And Beyond, Andrew W. Powell

Journal of Humanistic Mathematics

In this article I argue that i is a quantity associated with the two-dimensional real number plane, whether as a vector, a bi-vector, a point or a transformation (rotation). This position provides a foundation for the complex numbers and accounts for complex numbers in some equations of applied mathematics and physics. I also argue that complex numbers are fundamentally geometrical and can be described by geometric algebra, and that moreover the meaning of complex numbers in physics varies with dimension and geometry of the manifold.

Millions, Billions, Or Trillions: How To Partition Large Numbers Into Friendly Figures, Eryn Michelle Maher, Ha Nguyen, Cynthia Sanchez Tapia

Journal of Humanistic Mathematics

Communicating and making sense of large numbers — millions, billions, and trillions — is a persistent struggle in our society. Using large numbers is a learning requirement for elementary school children, but even adults struggle with it. Hence supporting future teachers in developing their own understanding of the concepts is valuable. To construct, enact, and revise an educational experience for preservice teachers, we apply three frameworks of teaching mathematics for social justice tasks, high cognitive demand tasks, and productive mathematics discussion. The context uses United States educational and defense spending, the national budget, and the gross domestic product. Preservice teachers …

Language Analysis Via The Run And Flattened Statistics On Permutations, Jennifer Elder, Pamela E. Harris, Anthony Simpson

Journal of Humanistic Mathematics

A permutation π in Sn can be decomposed into its runs π = τ₁τ₂ . . . τ_k, where a run of π is a maximal contiguous subsequence whose elements are in increasing order. If the first values of each run are in increasing order, then π is said to be flattened. Motivated by the study of flattened permutations, we study the words in the Danish, German, English, Spanish, French, Italian, Dutch, and Norwegian languages. In each language considered, our work provides the following: a list of the longest flattened words, histograms for the proportion …

The Modern Geometrician: Euclidean Construction For Digital Paper, Deborah A. Kent, David J. Muraki

Journal of Humanistic Mathematics

The emphasis on traditional hand-drawn compass and straight-edge geometrical constructions has been reduced in the core narrative of most current curricula. In response to this trend, this paper presents a virtual toolkit for producing precision geometrical figures within the popular note-taking app, Notability. These graphical procedures employ the app's stylus-based input and shape tools (for lines, circles and squares) to offer a modern take on classical geometrical construction. These procedures are adaptations of familiar textbook methods, necessary because the app's circle-drawing tool behaves differently from a standard compass. Beyond the familiar canon of elementary Euclidean constructions, such as angle bisectors …

Sociomathematical Norms And Automated Proof Checking In Mathematical Education: Reflections And Experiences, Merlin Carl

Journal of Humanistic Mathematics

According to a widely held view, mathematical proofs are essentially (indications of) formal derivations, and thus in principle mechanically checkable (this view is defended, for example, by Azzouni [3]). This should in particular hold for the kind of simple proof exercises typically given to students of mathematics learning to write proofs. If that is so, then automated proof checking should be an attractive option for math education at the undergraduate level. An opposing view would be that mathematical proofs are social objects and that what constitutes a mathematical proof can thus not be separated from the social context in which …

My Own Private World Of Non-Ordinary Associative Arithmetics, Marion D. Cohen

Journal of Humanistic Mathematics

A binary operation # on Z+ is said to be an associative arithmetic if both # and its iteration — the binary operation ∗ defined recursively by: x∗1 = x and x∗y = [x ∗ (y − 1)]#x — are associative. E. Rosinger [6] showed that under reasonable conditions an associative arithmetic must be ordinary addition. However, in the general case, there are associative arithmetics that are not ordinary addition. This paper gives examples of these as well as results towards a structure theorem for associative arithmetics. The paper also describes the role that this particular math problem has played …

Mathematical Anxiety In The Turkish Context: Mathematical Experiences Of High School Students, Vahap Yorgun, Serdal Mert

Journal of Humanistic Mathematics

Although a handful of studies have investigated the prevalence of math anx- iety among Turkish school children and its relationship with several variables like attitudes toward math, gender, self-efficacy, parental style, there is as of now no study focusing on development psychological interventions to cope with math anxiety. Most of the extant studies use quantitative approaches, but in order to develop intervention programs, researchers need to know how math anxiety develops, what kinds of personal variables or factors take place in this process, and what kind of emotional and cognitive reactions hold by students about math. Thus in our research, …

Picturing Mathematics (Education) In New Ways, Mark Huber, Gizem Karaali

Journal of Humanistic Mathematics

No abstract provided.

Front Matter

Journal of Humanistic Mathematics

No abstract provided.

Enhancing Fuel Injection System Reliability Through Weibull Family Functions Analysis, Ali Nouri Qarahasanlou, Abbas Barabadi, Meisam Saleki, Ali Rahimazar, Parisa Rezakhania, Masoume Gholamia

Journal of Sustainable Mining

The efficient operation of heavy machinery is crucial to the success of mining and civil construction operations. To guarantee this performance, equipment performance is assessed using the Reliability Index, which analyzes failures to study the ability of a system to carry out its intended functions under predetermined conditions. On the other hand, the failure rate and operational environmental condition (such as management decisions, maintenance performance, etc., that are defined as “risk factors”) over the life cycle of industrial systems pose a significant challenge to reliability analysis. This paper proposes an approach to address these challenges by extending Weibull family functions …

Hands-On For Whom?, Isabella Stuopis, Avneet Hira

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

Hands-on technology-enhanced pedagogies have been hailed as a panacea for engaging K–12 students in engineering. We unpack how the entanglement of the sociopolitical with the educational, namely how factors pertaining to resources and individual characteristics, impact engagement with such pedagogies. In particular, we expand upon how school funding, teacher preparation and support, access to out-of- school resources, and family background impact the in-and out-of- school resources students have access to. Further, we explain how characteristics such as a sense of belonging, pedagogical approaches, and assumptions and gatekeeping by adults impact students’ ability to engage with hands-on engineering education. In doing …

Perceptions Of Using Multiple Measures For Student Placement At Rural Virginia Community Colleges, Whitney Bowling

Ed.D. Dissertations

Remedial courses have been part of the college landscape in the United States since at least the 1800s when nearly 250,000 students were placed into remedial courses. Traditionally, students who enrolled in remedial courses were placed into that course solely based on one test score. Students who enrolled in traditional remedial courses were more likely to not graduate than their peers placed into college-level English and Mathematics courses. This research aims to understand the rural Virginia community college English and mathematics professors’ perceptions of implementing and using multiple measures to place students into first-year English and mathematics courses. The data …

Maximizing Generative Ai Benefits With Task Creativity And Human Validation, Charu Sinha, Veselina P. Vracheva, Cristina Nistor

Business Faculty Articles and Research

Much of the existing literature on generative AI applications is conflicting, with findings suggesting that investing in AI will lead to better organizational outcomes but also pointing out that incorporating AI may be a wasteful even counterproductive initiative. We develop a conceptual frame-work to characterize generative AI benefits based on the types of tasks that generative AI may be used for in management. Our work suggests that task creativity plays a key role in successful generative AI outcomes, but human validation - the extent to which a human engages in a supervisory role - is required to reap the benefits. …

Spatial Autocorrelation Of Tuberculosis Cases In Central Java Province In 2022, Izzatul Mardiah Saini, Tris Eryando

Jurnal Biostatistik, Kependudukan, dan Informatika Kesehatan

Tuberculosis still becomes a health problem both in the world and in Indonesia. Central Java is The third highest province of tuberculosis in Indonesia. Spatial analysis is an essential tool for evaluating the tuberculosis distribution pattern according to geographic location. This research aims to determine tuberculosis hotspot areas and discover whether there is a spatial correlation between districts/cities in Central Java based on tuberculosis cases using the spatial autocorrelation method through the Moran Index and Local Indicators of Spatial Associations (LISA). Secondary data in the form of the aggregate number of all tuberculosis cases in 2022 was collected from the …

Chemical Recycling Of Bio-Based Polyurethane Foams: Evaluating Bio-Based Glycols In Comparison To Petroleum-Based Glycols, Anirudh Thorbole Mr.

Electronic Theses & Dissertations

The paradigm shift towards bio-based polyurethane foams (bio-PUF) has significantly increased post-consumer waste. To address this issue, this research represents a novel approach to enhance sustainable development in the recycling industry by replacing traditional petroleum-based glycols with sustainable bio-based alternatives. This study explores the glycolysis of bio-PUF using bio-based SG-522 glycol and polyethylene glycol (PEG) for comparison. The findings from this research as outlined, reveal no significant differences in depolymerization time between the two glycols, achieving proper depolymerization and high recovery yields of over 95% after solvent purification. Comprehensive FT-IR and NMR analyses confirmed the successful degradation of bio-PUF and …

Castor Oil-Based Polyurethane Adhesives: Effect Of Cross-Linker On The Bond Strength, Mayankkumar Chaudhary

Electronic Theses & Dissertations

Adhesives are important for binding diverse materials, promoting structural integrity and functional versatility in countless daily life applications. An enormous obstacle remains in the development of polyurethane (PU) adhesives exhibiting excellent bonding strength. Designing a chain extender with appropriate molecular structures is critical to improving the bonding strength of PU-based adhesives. In this work, PU-based adhesive was prepared using castor-oil-based polyol (COP) and diisocyanate. The bonding strength of the adhesive was improved by adding chain extenders such as N, N-bis(2-hydroxyethyl) thiophene-2,5-dicarboxamide (ETP) and N, N-Bis(2-hydroxyethyl)-terephthalamide (ETAM). The modified adhesive showed high bonding strength after the addition of chain extenders due …

Innovative Education: Comparing The Success Of Stem And Traditional School Models, Timothy W. Kennedy

Education Theses and Dissertations

Abstract

This research study investigates the impacts of four specialized STEM education models—T-STEM (Texas Science, Technology, Engineering, and Mathematics), P-TECH (Pathways in Technology), Early College High Schools (ECHS), and New Tech Network schools (NTN) on student performance in Texas high schools. By analyzing aggregate student data collected by the state, this study compares the academic outcomes of students in these STEM-focused schools with those in traditional curriculum schools using ANCOVA (Analysis of Covariance) and Logistic Regression. The findings reveal mixed results: while some specialized STEM models show enhanced performance in STEM and other academic subjects, others do not consistently outperform …

Randomly Generated Non-Negative Linear Programs, Jay Rosenberger

Industrial, Manufacturing, and Systems Engineering Datasets - Archive

This dataset include randomly generated non-negative linear programs that appears in several papers on Constraint Optimal Selection Techniques (COSTs) for Linear Programming.

Pendidikan Dan Penggunaan Internet Menurunkan Kemiskinan Di Banten, Hudaya Latuconsina, Khusaini Khusaini, Sri Jaya Lesmana

Jurnal Ekonomi dan Pembangunan Indonesia

In the last decade, poverty patterns in Banten Province have tended to increase. There have been many poverty alleviation programs provided by governments at all levels that focus on education, social security, and so on. This research aims to examine the role of education, internet use, and internet access on poverty in Banten. Using static and robust panel analysis shows that education contributes significantly to poverty reduction in Banten’s districts/municipalities, as does the use of the internet for information/news and social media. On the contrary, internet access harmed on regency/municipality poverty in Banten. This research contributed to providing academic information …

Keterkaitan Spasial Produksi Ikan Tawar Dan Dampak Sosial-Ekonomi Masyarakat Di Kabupaten Magelang, Didi Nuryadin, Rodhiah Umaroh, Jamzani Sodik

Jurnal Ekonomi dan Pembangunan Indonesia

This research analyzes the spatial correlation between freshwater aquaculture production in Magelang Regency and the social and economic welfare of the community. Utilizing the Indeks Moran, LISA, and bivariate LISA methods, the results indicate inter-district correlations in freshwater fish production with a clustered distribution pattern. Mungkid and Muntilan districts are identified as production centers and hotspots. Freshwater fish production is also associated with community welfare, showing correlations with farmer groups despite a scattered distribution. However, the analysis of freshwater fish production and freshwater fish-based SMEs reveals a strong spatial relationship, particularly in Mungkid district, a central area fostering local development.

Road To Sustainability: Developing A Sustainability Performance Measurement Framework For City Logistics From A Multi-Stakeholder Perspective, Xu Zhang

Doctoral

Sustainability assessment in city logistics has been a perpetual and salient agenda among city managers and logistics industry practitioners, especially in light of the promotion of the new Corporate Sustainability Reporting Directive (CSRD) and European Sustainability Reporting Standards (ESRS). Research studies to date have tried to assess city logistics operations’ sustainability performance and their impact, but most endeavours have ended in vain due to elusive sustainability goals, inconsistent indicator quality, ambiguous stakeholder responsibility, and poor data availability on city levels.

To address these challenges, this study is advocating for a collaborative sustainability reporting and assessment process among public and private …

Increasing The Robustness Of Machine Learning By Adversarial Attacks, Gourab Mukhopadhyay

Theses and Dissertations

By perturbation or physical attacks any machine can be fooled into predicting something else other than the intended output. There are training data based on which the model is trained to predict unknown things. The objective was to create noises and shades of different levels on the images and do experiments for measuring accuracy and making the model classify the traffic signs. When it comes to adding shades to the pictures, pixels were modified for three different layers of the pictures. The experiment also shows that with the shadows getting deeper, the accuracies drop significantly. Here, some changes in pixels …

Medical Imaging Dataset Management Leveraging Deep Learning Frameworks In Breast Cancer Screening, Inchan Hwang

Dissertations

In the domain of Computer-Aided Diagnosis (CADx) for breast cancer diagnosis through mammography, prevailing models have traditionally been trained and validated using old film-based mammography. However, contemporary U.S. hospital practices involve the utilization of Full Field Digital Mammography (FFDM), offering more detailed images captured at various angles than old film-scanned mammography. Despite this shift, the existing body of research predominantly focuses on old-film based datasets, the implications of FFDM for CADx systems have not been understood. This dissertation addresses the issues emerged from FFDM such as data augmentation between old film-based set and new FFDM whether they are more effective …

The Role Of Salimah Mass Organization In Build The Family Resilience (Case Study In Cimanggis Sub-District, West Java, 2019-2022), Izzah Asy Syahidah, Basuni Imamuddin

International Review of Humanities Studies

Weak family resilience can cause various problems for family or society. Ideally, building family resilience is also needed society support. It will be more efficient if there is a place where people work together, such as a mass organization. One of the organizations that has contributed in building family resilience is Salimah (Muslimah Association). It is a mass organization of Indonesian Muslim women that focuses on providing solutions to improve the quality of women, children, and families. Salimah has many programs aimed at building family resilience. This study aims to examine Salimah’s role in building family resilience in Cimanggis sub-district, …

Phylogenetic Analysis Of Anthropomorphic Rock Art: A Study Of Material Culture Evolution, Muhammad Faisal Chair, Ali Akbar

International Review of Humanities Studies

This paper provides an explanation of the application of phylogenetic analysis, derived from biology, to be applied in archaeology with the aim of observing evolutionary phenomena, the development of ideas, and the dissemination of ideas from material culture. Phylogenetics will be applied to data on anthropomorphic motifs at five rock art sites in West Sumatra: Gua Lidah Air, Gua Runjo, Ngalau Tompok Syohiah, Batu Basurek, and Gua Basurek. The main stages in this analysis involve collecting representative data in the category of distinctive values from each rock art site. Distinctive values data is obtained through observation and identification of morphological …

The Philosophy Of Spirits Purification In The Ritual Entas-Entas In Wonotoro Village As The Identity Of The Tengger Community, Turita Indah Setyani, Titik Pudjiastuti, Rias Suharjo, Mamlahatun Buduroh, Mu’Jizah Mu’Jizah, Dwi Rahmawanto

International Review of Humanities Studies

This paper examines the Ritual Entas-entas as a purification ceremony for spirits in Wonotoro Village, Tengger. The ritual originates from a manuscript believed to aid in purifying the spirits of deceased family members. This ritual has been passed down orally. However, the manuscript serving as the reference for the ritual can no longer be traced. The issue is, how the sustainability of the Ritual Entas-entas in Wonotoro Village, Tengger? The research aims to demonstrate that the Tengger community possesses a collective memory strength and high adherence to traditional rules as part of everyday religious practice. The research utilizes ethnographic methodology …

Excited State Processes In Radical Elaborated Platinum Donor-Acceptor Complexes, Sangita Paudel

Chemistry and Chemical Biology ETDs

Organo-transition metal complexes are being widely studied to understand their photophysical properties for their wide range of applications as efficient emitters in organic light emitting diodes (OLEDs), light emitting electrochemical cells (LEECs), etc. Cyclometalated organo-transition metal complexes such as cyclometalated square planar platinum(II) complexes are becoming suitable candidates for such applications because of their highly efficient luminescence. Understanding the excited properties of such complexes is useful in designing highly efficient and color tunable phosphors with desired excited state lifetimes. We aim to explore the influence of radical substituents on electronic structure, luminescence quantum efficiencies, and excited state lifetimes by synthesizing …

Bibliometric Analysis Of Research Trends And Novelties For Pneumonia In Children, Ariyani Lutfitasari, Fitriani Nur Damayanti, Budi Santosa, Lia Mulyanti, Umi Khasanah

Jurnal Keperawatan Indonesia

Pneumonia is the leading cause of death among children globally, with most cases occurring in low- and middle-income nations. Pneumonia in children has been thoroughly researched in numerous countries throughout the world. However, no research performed bibliometric analyses of pneumonia in children. This study aims to use a biometric analysis to determine trends in the number of publications, the number of citations, network visualization, overlay visualization, and density visualization concerning the issue of pneumonia in children. This research method employs a systematic review with stages adhering to the Preferred Reporting Items for Systematic Reviews and Meta-Analyses (PRISMA) flowchart. The highest …