Arts and Humanities Commons^™

Beauty Of Life In Dynamical Systems: Philosophical Musings And Resources For Students, Soumya Banerjee, Joyeeta Ghose, Tarakeswar Banerjee, Kalyani Banerjee

Journal of Humanistic Mathematics

Information plays a key role in life and in complex biological systems, and dynamical systems underlie and can be used to represent many complex systems. Indeed, dynamical systems and information processing capabilities may be the hallmarks of life-like systems. In this paper we combine dynamical systems with a computational framework to generate art. The framework can be used to generate aesthetically appealing forms of life-like systems. Our work suggests that we may need an ``aesthetic sense'' to recognize life that we have not seen before. We also provide teaching resources for students in schools and undergraduate institutions.

The Number Systems Tower, Bill Bauldry, Michael J. Bossé, William J. Cook, Trina Palmer, Jaehee K. Post

Journal of Humanistic Mathematics

For high school and college instructors and students, this paper connects number systems, field axioms, and polynomials. It also considers other properties such as cardinality, density, subset, and superset relationships. Additional aspects of this paper include gains and losses through sequences of number systems. The paper ends with a great number of activities for classroom use.

The "Benfordness" Of Bach Music, Chadrack Bantange, Darby Burgett, Luke Haws, Sybil Prince Nelson

Journal of Humanistic Mathematics

In this paper we analyze the distribution of musical note frequencies in Hertz to see whether they follow the logarithmic Benford distribution. Our results show that the music of Johann Sebastian Bach and Johann Christian Bach is Benford distributed while the computer-generated music is not. We also find that computer-generated music is statistically less Benford distributed than human- composed music.

Synesthesia: 3.1415... Orange.Whiteperiwinklewhiteblue..., Shelly Sheats Harkness, Bethany A. Noblitt, Nicole Giesbers

Journal of Humanistic Mathematics

In this paper we address the questions: What is synesthesia? What support(s) can teachers provide for their students who have synesthesia? Nicole, a future mathematics teacher who possesses this synesthesia “superpower”, describes how it impacted her learning. We collected data for this case study through an audio-recorded and transcribed interview, as well as from subsequent email correspondence between the three authors. We asked Nicole three kinds of questions: questions she is frequently asked, questions she would like to be asked, and questions teachers (like Shelly and Beth) might ask. Results indicate that synesthesia may have helped Nicole learn English as …

One Theorem, Two Ways: A Case Study In Geometric Techniques, John B. Little

Journal of Humanistic Mathematics

If the three sides of a triangle ABΓ in the Euclidean plane are cut by points H on AB, Θ on BΓ, and K on ΓA cutting those sides in same ratios:

AH : HB = BΘ : ΘΓ = ΓK : KA,

then Pappus of Alexandria proved that the triangles ABΓ and HΘK have the same centroid (center of mass). We present two proofs of this result: an English translation of Pappus's original synthetic proof and a modern algebraic proof making use of Cartesian coordinates and vector concepts. Comparing the two methods, we can see that while the algebraic …

Ekstasen: Love Poetry By Felix Hausdorff, Kimberly Gladman

Journal of Humanistic Mathematics

Four poems by the mathematician Felix Hausdorff are presented in English translation, together with their German originals and commentary about Hausdorff’s multidisciplinary achievements.

Teaching Mathematics With Poetry: Some Activities, Alexis E. Langellier

Journal of Humanistic Mathematics

During the summer of 2021, I experimented with a new way of getting children excited about mathematics: math poetry. Math can be a trigger word for some children and many adults. I wanted to find a way to make learning math fun—without the students knowing they’re doing math. In this paper I describe some activities I used with students ranging from grades K-12 to the college level and share several poem examples, from students in grades two to eight.

Could Raphael’S School Of Athens Contain Hidden Geometry?, Frode S. Larsen, Harald E. Moe

Journal of Humanistic Mathematics

In this article we argue that Raphael has hidden a geometric shape called a vesica piscis in his fresco The School of Athens (1510-1511). The vesica piscis, and several findings which can be interpreted as suggesting the presence of a vesica piscis in the fresco, are presented. Several of these suggestions relate to the vesica piscis drawn in the construction of an equilateral triangle in the first proposition of Euclid’s Elements. Based on findings in the fresco, we suggest that the vesica piscis should be interpreted in light of a philosophical and theological controversy which took place in Italy …

The Long Search For Collatz Counterexamples, Oliver K. Clay

Journal of Humanistic Mathematics

Despite decades of effort, the Collatz conjecture remains neither proved, nor refuted by a counterexample, nor formally shown to be undecidable. This note introduces the Collatz problem and probes its logical depth with a test question: can the search space for counterexamples be iteratively reduced, and when would it help?

Students’ Mathematical Learning During The Covid-19 Pandemic, Jessica Mean, Shilpa Dasgupta

Journal of Humanistic Mathematics

This paper discusses our new approach to assessing students’ learning. This approach includes the use of a final project rather than a final cumulative exam. We suggest that students taking a deep dive into one particular math concept and being able to make connections between that concept and the real world are educational achievements during this pandemic. We also argue that there is value in online learning because students who learn online choose to use library resources and develop their own interests by attending office hours, all of which benefit their learning.

No Simple Formula: Navigating Tensions In Teaching Postsecondary Social Justice Mathematics, Alexa W. C. Lee-Hassan

Journal of Humanistic Mathematics

Instructors of Social Justice Mathematics (SJM) have shared important insights into the powerful potential of connecting classroom mathematics with authentic data about social justice topics, but they have also warned about the harm such teaching can cause when done poorly. In this article, I consider what is necessary to teach SJM at the postsecondary level. I share research that has supported me in learning to teach SJM and highlight challenges that are particular to doing this work in postsecondary contexts. I then describe my experiences navigating the central tensions of this work while honoring its complexity.

Critical Co-Investigators Of Math Trails: Reflections From A Student And Teacher, Benjamin Dickman, Julia Feinberg

Journal of Humanistic Mathematics

In this article, a K-12 mathematics educator and a recent (2020) high school graduate discuss curricular work related to math trails, which are based around the idea of mathematizing potential discoveries along a physical walk. The intersection of math trails with the realities of schooling amid the COVID pandemic is described, along with ways in which math trail learning has ramified beyond classroom walls. This collaboration serves not only to draw attention to the under-researched topic of math trails, but also to exhibit how students and teachers can, in the language of Freire, work together as critical co-investigators.

#Disruptjmm: Online Social Justice Advocacy And Community Building In Mathematics, Rachel Roca, Carrie Diaz Eaton, Drew Lewis, Joseph Hibdon, Stefanie Marshall

Journal of Humanistic Mathematics

In 2019, \#DisruptJMM, a Twitter hashtag, began circulating after an Inclusion/Exclusion blog by Dr. Piper H pointing to the need to make commonplace conversations about human suffering in the Joint Mathematics Meetings (JMM). While the \#DisruptJMM hashtag has been used since 2019, the vast majority of use was in the JMM 2020 meetings. Twitter hashtags are used by activists to push forward conversations, join communities around a single idea, and create change. In this article, we draw on frameworks from community building seen in other equity and inclusion advocacy hashtags such as \#GirlsLikeUs [7] to qualitatively code and analyze tweets …

On Definitions Of "Mathematician", Ron Buckmire, Carrie Diaz Eaton, Joseph Hibdon, Katherine M. Kinnaird, Drew Lewis, Jessica Libertini, Omayra Ortega, Rachel Roca, Andrés R. Vindas Meléndez

Journal of Humanistic Mathematics

The definition of who is or what makes a “mathematician” is an important issue to be addressed in the mathematics community. Too often, a narrower definition of who is considered a mathematician (and what is considered mathematics) is used to exclude people from the discipline—both explicitly and implicitly. However, using a narrow definition of a mathematician allows us to highlight, examine, and challenge systemic barriers that exist in certain spaces of the community. This paper analyzes and illuminates tensions between narrow and broad definitions and how they can be used to promote both inclusion and exclusion simultaneously. In this article, …

Mathematics And Society: Towards Critical Mathematics Research And Education, Tian An Wong, Carrie Diaz Eaton, Rachel Roca, Nancy Rodriguez

Journal of Humanistic Mathematics

No abstract provided.

Mathematics And Society, Mark Huber, Gizem Karaali

Journal of Humanistic Mathematics

No abstract provided.

Front Matter

Journal of Humanistic Mathematics

No abstract provided.

The Concept Of The Contravention Between Realization And Negligence: An Empirical Study, Saeed Dwaikat, Waleed Ali Ali

An-Najah University Journal for Research - B (Humanities)

This research aims to examine the concept of contravention as one of the studies of the fundamentals of jurisprudence (Islamic Fiqh) related to the denotative meaning of expressions, and to present the different viewpoints on the issue under investigation and the weighting between them as well. The researchers opted for dropping their theoretical study on the two holy Quranic verses of Repentance 80 (al –tawbah), and the Rooms: 6 (Al-hujurat), as an applied study on the subject. The two researchers followed the descriptive approach, and divided their study into three parts. The first talks about the concept of contravention, its …

How Gender Roles Impact The Social Perceptions Of Sexual Assault, Autumn Zwakenberg

Masters Theses & Specialist Projects

This study set out to examine how different factors such as the gender of the victim, the gender of the perpetrator, and the scenario of sexual assault, can influence an outsider’s opinion of the sexual assault. There were two main hypotheses: the first is male and female participants would perceive the push-away scenario as sexual assault at equal rates, but significantly more female participants would perceive the victim allowing the perpetrator to unbuckle their pants scenario as sexual assault. The second is male and female participants would view the male perpetrator scenarios as sexual assault equally, but significantly more female …

The Words. Or Holes. Or Both: Writing As An Integrative Methodology For Trauma, Daniel A. Castle

Electronic Theses and Dissertations

This project seeks to identify methods authors have used to integrate their traumatic experiences. My work will analyze the genre of War Literature and specific authors like J.R.R. Tolkien and Kurt Vonnegut to explore the way writers describe the trauma of combat. Using insights from neuroscience and psychology, I will expand the field of Cognitive Literary Studies from a focus on the reader to a focus on the writer by linking neurological functions with narrative tools.

Examining Access To Decent Work Among Women Veterans: A Psychology Of Working Theory Perspective, Rebecca C. Gaines

Electronic Theses and Dissertations

The present study investigated predictors of decent work among a sample of women Veterans (N = 354), grounded in the Psychology of Working Theory (PWT). A structural equation model demonstrated that women Veterans’ experiences of marginalization, economic constraints, work volition, and career adaptability all directly predicted their ability to secure decent work, and economic constraints and marginalization experiences indirectly predicted decent work via work volition. Proactive personality was additionally examined as a moderator variable and did not significantly moderate any model paths; however, it was found to be a unique predictor of decent work and work volition, as well …

Counselors’ Spirituality, Attitudes Toward Suicide, And Self-Efficacy In Conducting Suicide Risk Assessment, Tayler Hendrix

Electronic Theses and Dissertations

The present study aimed to explore the relationship between perceived spiritual support and counselor self-efficacy in conducting suicide risk assessment, and the moderating effects of attitudes about suicide on this relationship. Based on existing theory and empirical evidence, perceived spiritual support was hypothesized to have a positive predictive relationship with counselor self-efficacy in performing suicide risk assessment; further, four different constructs pertaining to attitudes toward suicide were also hypothesized to moderate the strength and direction of this relationship. A sample of Master’s level clinicians and advanced standing Master’s graduate students (N=132) completed on online survey containing instruments measuring perceived spiritual …

Queer Interethnic Relationships: Couple-Level Minority Stress And Resilience For Intersectionally Marginalized Partners, Sree Sinha

Electronic Theses and Dissertations

Interethnic relationships and same-sex relationships continue to increase in the U.S. While LGBQ and heterosexual people are equally likely to be in romantic relationships, LGBQ individuals are more likely than their straight peers to be in an interracial or interethnic romantic relationship. The present work aims to expand intersectional investigations regarding queer people of color (QPOC), including accounting for their individual as well as relational well-being, by use of the couple-level minority stress (CLMS) paradigm. CLMS theory speaks to the unique stressors experienced as a result of being in a relationship that is societally marginalized, impacting both dyadic and individual …

Exploring The Intersectional Higher Education Experiences Of Latinx Students, Miguel A. Trujillo

Electronic Theses and Dissertations

The intersectional experiences of Latinx students in higher education have largely gone underexplored in the literature, particularly when it comes to Latino men. The current literature treats the experiences of the Latinx community as a monolith, when there are multiple potentially impactful intersectional aspects of identity that could influence our lived experiences, such as generational status, documentation status, country of origin, and gender. This three-manuscript dissertation addresses these gaps in the literature by both conducting research that is more descriptive of our respective within-group community and by focusing on the impact that gender may play in the experiences of Latinx …

Older Women’S Stories Of Covid-19 Loss: Communicated Narrative Sense-Making Through Photography, Anne Walker

Electronic Theses and Dissertations

The diverse array of challenges associated with the COVID-19 pandemic make it difficult to assess the full impact of this global health crisis. More than 300,000 older Americans died, leaving a nation of grieving survivors in their absence. This profound loss of life will undoubtedly inform the field’s understanding of grief and grieving for many years to come. Pre-pandemic, older women in the United States understood grief to be part of their life stage; COVID-19 amplified the grief experience through both cumulative losses and the isolation particular to the novel coronavirus response. However, few qualitative studies explore older women’s grief, …

My Life, Malik Ahmad Ii

Melanated Monograms: Exploring African American and Black Identities and Cultivating Community

No abstract provided.

Untitled Melanated Monogram 1, Chai Jordan

Melanated Monograms: Exploring African American and Black Identities and Cultivating Community

No abstract provided.

Giftedness In Dance: Equitable Audition Procedures & Program Development, Lauren Case

Masters Theses & Specialist Projects

This study explored the perspectives of dance specialists and gifted and talented resource teachers in a large school district in the southeastern region of the United States. Six educators who teach dance, work in auditioning and identification of gifted and talented dancers, and provide service options for gifted and talented identified dance students were interviewed in this qualitative study which focused on best practices in gifted and talented dance identification. Dance specialists’ perspectives of audition structures and characteristics of dance giftedness were examined. Three themes emerged from interviewees in this field of education: audition structures, opportunities and access of dance …

Historical Narrative In The Music Of Sid Meier’S Civilization Vi, Alec Larner

Electronic Theses and Dissertations

Sid Meier’s Civilization VI is a 2016 strategy video game in which the player leads a historical civilization from 4000 BC to the present. The Civilization series is the subject of much scholarly writing, especially its representation of history and non- Western cultures. My work builds on Karen Cook’s research (2014) on the technological progress and American hegemonic identity signaled by Civilization IV’s soundtrack. I argue that the music in Civilization VI contributes to a Eurocentric teleological progress narrative of history inherent in the structure of the game: the idea that history is a story of inevitable and positive …

From Cornrow To Hedgerow: The Nebraska National Guard In Peace And War, 1919-1945, Nicholas Andrew Tuma

History Theses, Dissertations, and Student Creative Activity

This thesis examines the Nebraska National Guard from 1919-1945 and demonstrates how interactions between the troops and their communities were effectively leveraged by Guardsmen to increase the morale of their soldiers in peacetime as well as wartime. The thesis consists of an introduction, five chapters, and a conclusion. The introduction contextualizes the Nebraska National Guard in U.S. military policy and the reasons for its reorganization after World War I. Chapter one describes the reorganization and structure of the Nebraska National Guard. Chapter two examines the Nebraska National Guard in its communities: its personnel; how they were involved in their communities …