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Full-Text Articles in Arts and Humanities

Does The Doctrine Of "Separation Of Church And State" Matter?: Examining The Experiences Of Black Christian Families In Massachusetts Public School System, Stephanie Denise Okwudi Aug 2024

Does The Doctrine Of "Separation Of Church And State" Matter?: Examining The Experiences Of Black Christian Families In Massachusetts Public School System, Stephanie Denise Okwudi

Graduate Doctoral Dissertations

Students have full freedom under the law to practice religion in public schools. This is especially important for Black students, for whom religion has been shown to improve academic achievement and to mitigate many stressors they face. However, due to misinterpretations of the “separation of church and state” (or the “establishment clause” of the First Amendment), schools may inadvertently suppress the religious freedom of students instead of actively providing a safe space for religious practice. For this research, a single embedded intrinsic case study was conducted to determine how the separation of church and state doctrine manifested in the experiences …


“Koláče In The Blogosphere: Cultivating Food Expertise Through Domesticity, Femininity, And Ethnicity”, Cathryn Janka Aug 2024

“Koláče In The Blogosphere: Cultivating Food Expertise Through Domesticity, Femininity, And Ethnicity”, Cathryn Janka

Institute for the Humanities Master's Papers, Projects, and Capstones

Koláče in the Blogosphere is an analysis of food blogs to determine how female food bloggers cultivate food expertise through domesticity, femininity, and ethnicity. Their readership are predominately the adult children and grandchildren of immigrants seeking rediscovery of lost recipes or the completion of partial recipes of loved ones that have passed on. The bloggers are typically recent immigrants themselves or native writers in their home countries sharing recipes with those seeking rediscovery. Gender and food studies scholars have studied women as guardians of domesticity, ethnicity, the world of ethnic cuisine, and food authenticity along with the matrilineal transmission of …


On Critical Geneaology, Bernard E. Harcourt Aug 2024

On Critical Geneaology, Bernard E. Harcourt

Faculty Scholarship

Today most critical theorists who deploy history use a genealogical method forged by Nietzsche and Foucault. This genealogical approach now dominates historically inflected critique. But not all genealogical writings today, nor all philosophical debates surrounding genealogy, advance the goals of critical philosophy. It is crucial now that we assess the value of genealogical critiques. The proper metric against which to evaluate such work is whether it contributes to transforming ourselves, others, and society in a valuable way. In this article, I propose that we use the term “critical genealogy” to identify those genealogical practices that positively nourish our activity and, …


The Rise And Fall Of Elizabeth Holmes: Investigating Myths Within Media Coverage, Charlotte Emelia Williams Aug 2024

The Rise And Fall Of Elizabeth Holmes: Investigating Myths Within Media Coverage, Charlotte Emelia Williams

All Graduate Theses and Dissertations, Fall 2023 to Present

When Elizabeth Holmes became the youngest female billionaire in 2014, news media framed her as the next Steve Jobs due to her similarities as a dropout, a passionate industry disruptor, and a visionary. When she was discovered as a fraud in 2018, coverage framed her as a feminine, seductive monster who duped everyone. I analyzed the media coverage in both years to uncover myths that guided these narratives and argue that these news frames contributed to the large interest in her rise and fall while also reinforcing harmful ways of thinking toward success and female leadership.


Righting Reproductive Wrongs: A Rhetorical Analysis Of Special Topoi In Alberto Fernández’S Pro-Voluntary Interruption Of Pregnancy Speeches, Kymberlie Crosby Aug 2024

Righting Reproductive Wrongs: A Rhetorical Analysis Of Special Topoi In Alberto Fernández’S Pro-Voluntary Interruption Of Pregnancy Speeches, Kymberlie Crosby

All Graduate Theses and Dissertations, Fall 2023 to Present

The reproductive rights movement argues that abortion rights are fundamental and necessary for women to enjoy their human rights. Politicians opposed to abortion rights around the world have made it clear that they plan to ban abortion both statewide and nationwide. A country that has proven to be successful in defending its reproductive rights is Argentina. In 2020, the Voluntary Interruption of Pregnancy Bill (Interrupción Voluntaria del Embarazo; IVE) democratically passed and legalized abortion throughout Argentina. Argentine President, Alberto Fernández, supported IVE and delivered a series of speeches over four years highlighting IVE and the progress that has succeeded each …


Siwa's Influence On Alexander The Great's Self-Presentation, Luke Boardman Aug 2024

Siwa's Influence On Alexander The Great's Self-Presentation, Luke Boardman

All Graduate Theses and Dissertations, Fall 2023 to Present

This thesis analyzes the changes in Alexander the Great’s public image and how his visit to the Oracle of Ammon was a catalyst for these alterations. Examining moments of Alexander in isolation, his adoption of ostentatious habits, and enrobing himself in foreign attire and culture reveals a connection to his time in the Egyptian desert where Alexander was promised eventual authority over all mankind. The post-Siwa Alexander used these tools to leave behind the Hellenistic leader and become the Lord of Asia.


First Diffusion Course: "The Structure Of Language As A Connection Between Artificial Intelligence, Information And Ethics", Dioneia Monte-Serrat Jul 2024

First Diffusion Course: "The Structure Of Language As A Connection Between Artificial Intelligence, Information And Ethics", Dioneia Monte-Serrat

Journal of Humanistic Mathematics

From August 22nd to November 21st, the first Diffusion Course on “The structure of language as a connection between artificial intelligence, information and ethics” will take place on a Thursday of each month, in Ribeirao Preto, Brazil. You are cordially invited to sign up for in-person classes and join other researchers and students on this course.


7th International Conference On Creative Mathematical Sciences Communication (Cmsc`24), Frances A. Rosamond Jul 2024

7th International Conference On Creative Mathematical Sciences Communication (Cmsc`24), Frances A. Rosamond

Journal of Humanistic Mathematics

The 7th International Creative Mathematical Sciences Communication (CMSC) conference is scheduled for October 2024 in Trier, Germany. Initiated in Darwin, Australia in 2013, CMSC aims to explore novel methods of imparting computational thinking to diverse audiences including non-specialists, modern citizens, and children. Participants from around the world and from various and interdisciplinary disciplines such as science, education, dance, drama, and visual arts convene to exchange ideas, present experimental approaches, and collaborate on engaging children in the exploration of ongoing, unresolved research challenges.


Oh Statistics!, Heather L. Cook Jul 2024

Oh Statistics!, Heather L. Cook

Journal of Humanistic Mathematics

This poem was written about statistics and the usefulness thereof.


Discordium Mathematica - A Symphony In Aleph Minor, Vijay Fafat Jul 2024

Discordium Mathematica - A Symphony In Aleph Minor, Vijay Fafat

Journal of Humanistic Mathematics

How did Mathematics arise? Who created it? Why is it subject to Godel’s Incompleteness Theorems? And what does all this have to do with Coleridge’s poem, “Kubla Khan”, and “The Person from Porlock”? Here is a complete mythology of Mathematics set in an epic poetry format, fusing thoughts and verses from Western religions and Eastern mysticism… Those with immense patience and careful reading shall reap the fruit… (best read on a large screen or in printed form)


Pi: A Perpetual Journey, Ravindra K. Bisht Jul 2024

Pi: A Perpetual Journey, Ravindra K. Bisht

Journal of Humanistic Mathematics

A brief history of the constant pi is presented with a poetic flavor.


Love Is No Mean Thing: A Larkin Logarithm, Michael P.H. Stanley Md Jul 2024

Love Is No Mean Thing: A Larkin Logarithm, Michael P.H. Stanley Md

Journal of Humanistic Mathematics

This poem was recited at a marriage recently in Vermont. I met the groom in my freshman year. He was the first college friend I ever made, and he used to burst into the room like Cosmo Kramer and settle down in an easy-chair to think about math (my side of the dorm was quieter than his). I thought that was remarkable and delightful, and so, when the task came to write a matrimonial poem for him, I selected a mathematical conceit. The poem concludes with a mathematical paraphrasing of Philip Larkin's last line from Arundel Tomb.


Eighth Grade Algebra, Joseph Chaney Jul 2024

Eighth Grade Algebra, Joseph Chaney

Journal of Humanistic Mathematics

This is a poem about the affirming power of algebra in the life of a teenager.


Prime Motivation Of Eratosthenes, Pamela L. King Jul 2024

Prime Motivation Of Eratosthenes, Pamela L. King

Journal of Humanistic Mathematics

The sieve of Eratosthenes is used as a metaphor for the concept of people falling through the social safety net, and people who were once excluded, making efforts to increase inclusiveness.


Poems From The Series "At The Dimensional Border", Philip Fried Jul 2024

Poems From The Series "At The Dimensional Border", Philip Fried

Journal of Humanistic Mathematics

Poems about the border between the second and third dimensions, on geometry and the human condition.


Mathematical Graffiti: Bridges 2023 Clerihew Collection Jul 2024

Mathematical Graffiti: Bridges 2023 Clerihew Collection

Journal of Humanistic Mathematics

Clerihews are poems of a form invented by Edmund Clerihew Bentley around the turn of the 19th-20th century. The poems are typically biographical, humorous, and are made up of two couplets. The rhyming pattern is always aabb, but the meter of the two couplets is usually not the same. The first line is simply the name of the person, the other three lines relate to the subject, often in an absurd way. If the rhyme is slightly off, or the rhythm irregular or awkward, or the facts a bit confused, so much the better. The present collection of clerihews, written …


Book Review: How To Expect The Unexpected: The Science Of Making Predictions -- And The Art Of Knowing When Not To By Kit Yates, Mark Huber Jul 2024

Book Review: How To Expect The Unexpected: The Science Of Making Predictions -- And The Art Of Knowing When Not To By Kit Yates, Mark Huber

Journal of Humanistic Mathematics

Humans think about the future all the time. Prediction is a part of how we prepare for the coming of both good and bad events in our lives. Kit Yates' book, How to expect the unexpected, concentrates primarily on the question of why prediction is difficult, and what mental shortcuts people take in prediction that can lead to incorrect results. Unfortunately, a lack of concern for details and several omissions undermine the quality of the book.


Geometric Shapes That Sing And Move: An Interdisciplinary Lesson With Pre-Service Teachers, Gladys Krause, Gustavo Velandia Jul 2024

Geometric Shapes That Sing And Move: An Interdisciplinary Lesson With Pre-Service Teachers, Gladys Krause, Gustavo Velandia

Journal of Humanistic Mathematics

Our work shares a practical example of an interdisciplinary lesson in which two teacher educators collaborated to integrate mathematics and music in an elementary mathematics methods course. This paper describes the process of collaboration in designing the lesson and shares original instructional resources to be used in the classroom. We also discuss what the pre-service teachers participating in the lesson shared about their learning experience, and what we, the teacher educators, learned from this experience. In presenting this work we aim to promote the opening of spaces in teacher preparation programs that allow pre-service teachers to develop their own instructional …


Fibonacci-Inspired Spiral Quilts, Kathleen Offenholley, Sk Collins, David Radcliffe Jul 2024

Fibonacci-Inspired Spiral Quilts, Kathleen Offenholley, Sk Collins, David Radcliffe

Journal of Humanistic Mathematics

This article provides insight into the mathematics and designs of quilts inspired by Fibonacci and logarithmic spirals. We introduce the history and development of the Fibonacci number sequence and how to hand-draw a Fibonacci spiral. Further, we explain the relationship between the Fibonacci spiral and logarithmic spirals, the advantages of using logarithmic spirals to create designs, and how to produce digital spiral designs using Desmos, a free web-based graphing calculator. Finally, we discuss methods for designing spiral quilts or other triangle and spiral designs (such as collage or other media) and derive a formula for calculating the apex angles of …


States Of Matter, Todd Sformo Jul 2024

States Of Matter, Todd Sformo

Journal of Humanistic Mathematics

This is a non-fiction essay overtly about three methods used in overwintering physiology, set in the context of my first learning them, along with associated thoughts and ideas as I began working on my PhD. The mathematics shows up mainly in the final section of the essay whose subtitle plays on a poem by Wallace Stevens called “Anecdote of the Jar”. This section is fable-like in its explanation of protein purification and begins with an impossible statement that is slowly adjusted to make sense by words and math.


Intuitive Explanations In Mathematical Education, Jerzy Pogonowski Jul 2024

Intuitive Explanations In Mathematical Education, Jerzy Pogonowski

Journal of Humanistic Mathematics

I discuss the role of intuitive explanations in the learning, teaching, and popularization of mathematics. Several examples of such explanations are presented, related to linguistic explanations, perception, empirical models, and internal explanations inside mathematics itself. I emphasize the fact that intuitive explanations in a sense transgress mere mathematical arguments. I also discuss in brief the role of paradox resolution in mathematical education.


Bootstraps And Scaffolds: What A Cognitive-Historical Analysis Of The Complex Number System Reveals About Numerical Cognition, Charles R. Card, Gary G. Miller Jul 2024

Bootstraps And Scaffolds: What A Cognitive-Historical Analysis Of The Complex Number System Reveals About Numerical Cognition, Charles R. Card, Gary G. Miller

Journal of Humanistic Mathematics

The following investigation is a cognitive-historical analysis of the conceptual development of complex numbers. The history of this development spans nearly two millennia, from the earliest appearance of the square root of a negative quantity in the calculations of Heron of Alexandra (1st Century CE) to the full flowering of complex numbers in the first half of the 19th Century. The approach used for this analysis is Nersessian's, including her formulations of model-based reasoning and mental models. Additional aspects of the analysis feature the prominent roles played by process representations, including object-process complementarities, and by core numerical systems. Our analysis …


Building Communities Of Care For Equity, Justice, And Culturally Responsive Practice In Mathematics Education, Nicole Fletcher, B Waid Jul 2024

Building Communities Of Care For Equity, Justice, And Culturally Responsive Practice In Mathematics Education, Nicole Fletcher, B Waid

Journal of Humanistic Mathematics

Teaching is widely considered one of the “caring professions,” but conceptualizations of care and how care is put into practice in education are not universal. In this article, we draw from a range of perspectives on care that integrate supportive interpersonal relationships, high expectations, and culturally relevant theories of critical care, as well as Queer Theory and Disability Justice, to explore the application of these ideas in mathematics education. We identify key elements for building communities of care in mathematics education contexts: co-constructing community agreements, redefining participation, shifting traditional power structures, collaborative problem solving, and building networks of care beyond …


Mathematical Models And Pedagogy Of Marxist Political Economy, Christopher Perez Jul 2024

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.


What Is An Imaginary Number? The Plane And Beyond, Andrew W. Powell Jul 2024

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 Jul 2024

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 Jul 2024

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 . . . τk, 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 Jul 2024

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 Jul 2024

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 Jul 2024

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 …