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Articles 1531 - 1560 of 37460
Full-Text Articles in Entire DC Network
Integration Bar, Erik Talvila
Integration Bar, Erik Talvila
Journal of Humanistic Mathematics
In this humourous story, the narrator is dragged by their friend to a crazy bar for a late night of wild drinking and dancing. Except, the drinking is replaced with computing integrals.
Constanto Mysterium - A Paradise Of Shifting Constants, Vijay Fafat
Constanto Mysterium - A Paradise Of Shifting Constants, Vijay Fafat
Journal of Humanistic Mathematics
Mathematicians speak of constants of mathematics. Some of these constants are known to high-heavens. Some remain hidden in the obscurity of erudition. And to be frank, while every real number is a mathematical constant, we don’t know much about most of them (is not the set of transcendental numbers incommensurable without us knowing or understanding very many of them?).
So what elevates some constants above others? Is this elevation just a measure of the ignorance of mathematicians who have explored but a small patch of an infinite quilt, a case of six wise men trumpeting the – well, the trumpet …
Welcome 2025—The Year Of A Magical Number, Md Sadikur Rahman
Welcome 2025—The Year Of A Magical Number, Md Sadikur Rahman
Journal of Humanistic Mathematics
This is a poem to welcome the new year 2025 and note its relevance to mathematics.
A Ramsey Theory Essay: The Dinner Party, Ryan Coghill
A Ramsey Theory Essay: The Dinner Party, Ryan Coghill
Journal of Humanistic Mathematics
This is a poem inspired by Ramsey’s theorem. Its main characters are; Frank Ramsey, Issai Schur, Richard Rados, Bertel van der Waarden, Ronald Graham and Paul Erdos, some of the pioneers of the field of Ramsey theory. There has been care put into each paragraph so that it’s lines can be viewed as though they were nodes on a graph which share traits with each other of rhyme, theme and length which can be paired in 2 states, sharing and unique in such a way that one might find coloured graph edges when working in the field of Ramsey theory.
Math Is A Tiger And A Pecan, William Cocke
Math Is A Tiger And A Pecan, William Cocke
Journal of Humanistic Mathematics
Using perfect secrecy and the ability to identify gibberish in a given language, we encode two poems in one. This allows for a single cipherpoem to have multiple plainpoems associated with it. The result is a form of superposition where neither poem is the more correct interpretation than the other.
The poem presented is about two distinct aspects of mathematics: the tiger to be sought after and hunted; or a pecan that we have surrounded but cannot crack open.
My Academic Life -- A Poem, Sonja Petrovic
My Academic Life -- A Poem, Sonja Petrovic
Journal of Humanistic Mathematics
No abstract provided.
Belonging, Lawrence M. Lesser
What Happened When I Took Calculus For The First Time At Age 47, Britt Kaufmann
What Happened When I Took Calculus For The First Time At Age 47, Britt Kaufmann
Journal of Humanistic Mathematics
These five poems are inspired by being in high school math classes and could be used in the classroom for cross-curricular enrichment.
The Making Of Mathematics: An Interview With Carlo Cellucci, Marshall Gordon
The Making Of Mathematics: An Interview With Carlo Cellucci, Marshall Gordon
Journal of Humanistic Mathematics
Carlo Cellucci is professor emeritus of the Sapienza University of Rome, and has written books on logic, mathematics, and philosophy. In the following interview conducted via back-and-forth email correspondence, he discusses his 2022 book, The Making of Mathematics: Heuristic Philosophy of Mathematics [3], which presents a new paradigm for thinking about, doing, and teaching mathematics.
Geometry, Art, And Technology: Islamic Geometric Patterns In The Classroom, Rebin Muhammad, Mona Hajghassem, Mais Alraee
Geometry, Art, And Technology: Islamic Geometric Patterns In The Classroom, Rebin Muhammad, Mona Hajghassem, Mais Alraee
Journal of Humanistic Mathematics
In this paper, we share our experiences developing and implementing three Desmos activities. These activities aim to introduce geometric concepts such as transformation, symmetry, and geometric construction by using examples from Islamic Geometric Patterns (IGP). Our target audience for these activities is future elementary school teachers. In addition to leveraging technology, we enrich the learning process by incorporating hands-on exploration with physical IGP examples.
Revisiting The Hidden Symmetries Of The Multiplication Table, Zoheir Barka
Revisiting The Hidden Symmetries Of The Multiplication Table, Zoheir Barka
Journal of Humanistic Mathematics
In previous work, we have explored some of the symmetries hidden in the multiplication tables of natural numbers and integers. In this article, we dive deeper into the hidden symmetries within the distribution of positive and negative integers. We also share various ideas to explore these symmetries in a classroom setting, encouraging active engagement and deeper understanding among students.
Mathematics In The Vichten Roman Mosaic, Marko Peric, Antonella Perucca
Mathematics In The Vichten Roman Mosaic, Marko Peric, Antonella Perucca
Journal of Humanistic Mathematics
We explore the geometry of the renowned Vichten Roman Mosaic. The central section of the mosaic features a tessellation composed of octagons, half-squares, and symmetrical pentagons. We present a Sangaku-style exercise to investigate these polygons. Additionally, we examine the whirl patterns of the mosaic and the optical illusion they create. Our activities offer a mathematical exploration that requires only basic school-level mathematics, highlighting the close connection between mathematics and art.
White Horses In The Sky: Or The Magical Place Where Topology Meets Poetry, Sanziana Caraman, Lorelei Caraman
White Horses In The Sky: Or The Magical Place Where Topology Meets Poetry, Sanziana Caraman, Lorelei Caraman
Journal of Humanistic Mathematics
What do Shakespearean words, doughnuts, cups of tea, and horses in the sky all have in common with a famous theorem? To discover the answer, we take you on a journey in a strange, enchanted land: the land where mathematics meets poetry. Here we explore how a fundamental literary trope, metaphor, and a fundamental result in topology, Brouver's Fixed Point Theorem, touch and illuminate one another. Delving into the symmetry of this transdisciplinary embrace, we find that it reveals, not only the beauty of poetry and mathematics, but that of life itself: the beauty hidden in ordinary things like a …
From The Symbol Of Inanna To Islamic Tessellations: Aesthetics Of Constructibility, Zhexiu Tu
From The Symbol Of Inanna To Islamic Tessellations: Aesthetics Of Constructibility, Zhexiu Tu
Journal of Humanistic Mathematics
We introduce a special symbol with a long history dating back to the Sumerian period. This symbol, which was first associated with the goddess Inanna, can be constructed with compass and straightedge, a property defined as constructibility in modern geometry. Nineteenth-century mathematicians proved systematically what types of polygons and polygrams are constructible. This algebraic result shared a striking consistency with the tessellations present in medieval Islamic architecture. The geometric patterns behind the tessellations as well as the symbol of Inanna itself, if properly remodeled, can be adopted as effective tools in the teaching of algebra and Galois theory.
What Does An Integer Sequence Sound Like?, Firdous Ahmad Mala
What Does An Integer Sequence Sound Like?, Firdous Ahmad Mala
Journal of Humanistic Mathematics
It may be difficult to assign a sequence to every piece of music, but a piece of music can surely be assigned to every integer sequence. The Online Encyclopaedia of Integer Sequences (OEIS), a comprehensive and collaborative database of over 350,000 integer sequences, offers a unique ’listen’ feature that converts numerical sequences into melodies. This sensory approach to sequences provides a novel way to experience the beauty and complexity of mathematical patterns. We describe the process of how integer sequences are mapped to musical notes, using modular arithmetic, and discuss the various parameters that influence the resulting sound. Highlighting specific …
On The Development Of Equations In Ancient China, Wanwan Huang
On The Development Of Equations In Ancient China, Wanwan Huang
Journal of Humanistic Mathematics
This article explores the evolution of equations in ancient China, detailing the development process through the presentation of various classical mathematics problems spanning four stages. We present these problems and their solutions, both using ancient Chinese terminology and modern language. With this work, we hope to offer an insightful examination of the achievements and limitations of ancient Chinese mathematicians in their work on equations, particularly in relation to culture, practical needs, and human creativity.
The Swaying Equations: An Exhibition Of Mathematical And Algorithmic Art, Awansika Nimuthumana, Anuradha Mahasinghe
The Swaying Equations: An Exhibition Of Mathematical And Algorithmic Art, Awansika Nimuthumana, Anuradha Mahasinghe
Journal of Humanistic Mathematics
An exhibition of mathematical and algorithmic art took place on 30th September and 01st October 2023 at the Lionel Wendt art gallery in Colombo, Sri Lanka. To our knowledge, this is the first-ever mathematical art exhibition in Sri Lanka. This report contains a brief overview of the artworks and some highlights of the exhibition.
An Unlikely Duo: Injecting Art Projects In The Lower-Division Mathematics Classroom, Douglas T. Pfeffer, Christina Durón
An Unlikely Duo: Injecting Art Projects In The Lower-Division Mathematics Classroom, Douglas T. Pfeffer, Christina Durón
Journal of Humanistic Mathematics
Too often society has sterilized mathematics to the point that many view it as drab and deplete of aesthetic intrigue---in higher education, this is particularly true of students in the lower-division classroom. In this paper, we propose the use of art projects as a novel way to alter this perspective. Art projects function as a hands-on, active way to invite students to both identify connections between math and various non-mathematical disciplines as well as view math as overall more intriguing, inviting, and interesting. This paper details our implementation and discusses anonymously solicited survey data that highlights our successes.
Math Is _______: A Study On Prospective Teachers' Perceptions Of Math And Teaching Math, Kayla Mead, Katherine Baker
Math Is _______: A Study On Prospective Teachers' Perceptions Of Math And Teaching Math, Kayla Mead, Katherine Baker
Journal of Humanistic Mathematics
In this project, we examined one cohort of twenty-eight college students and their perceptions of mathematics at the beginning and end of a semester-long mathematics content course for K-8 prospective teachers (PTs). More specifically, our study explored PTs’ perceptions of what mathematics is and what mathematics teaching is, and how and why those perceptions might change over the semester-long mathematics course. PTs’ perceptions were captured through open-ended surveys and follow-up interviews. Our intention was to better understand the reasonings for changes in perceptions during the course to support teacher educators in their work of preparing prospective teachers.
Stem Major Perspectives For Humanizing Undergraduate Mathematics Classes, Kelly Macarthur, Derek Williams, Bryce Hughes
Stem Major Perspectives For Humanizing Undergraduate Mathematics Classes, Kelly Macarthur, Derek Williams, Bryce Hughes
Journal of Humanistic Mathematics
Using the eight dimensions of the rehumanizing framework [32] by Gutiérrez, built on a sociopolitical foundation, we report on research findings about what Latin* [41], Native American, LGBTQ+ and/or women science, technology, engineering, and mathematics (STEM) majors at two primarily white institutions (PWI) perceive as humanizing in their mathematics courses. In analysis of interviews with twenty students, we found that the core aspects of a humanized learning experience center relationality and a caring classroom environment. We then explore tensions that arose regarding the implementation of one teaching strategy reflecting the Cultures & Theirstories rehumanizing dimension, suggesting that implementation of such …
Rehumanizing Mathematics, Mark Huber, Gizem Karaali
Rehumanizing Mathematics, Mark Huber, Gizem Karaali
Journal of Humanistic Mathematics
No abstract provided.
Military Digital Diplomacy: A Case Study Of The Japan Self- Defense Force On Youtube Platform, I Dewa Gede Radiantha Wedagama, Susy Ong
Military Digital Diplomacy: A Case Study Of The Japan Self- Defense Force On Youtube Platform, I Dewa Gede Radiantha Wedagama, Susy Ong
Journal of Strategic and Global Studies
This study examines the digital diplomacy strategies of the Japan Self-Defense Force (JSDF) through its engagement on the YouTube platform. It aims to analyze how the JSDF leverages digital media to reshape its international image, which has remained critically low since World War II, and to strengthen its soft power. Using a qualitative research approach, the study applies the 4D model of country image analysis, categorizing the JSDF’s digital content into functional, normative, aesthetic, and sympathetic dimensions. Data were collected through a comprehensive analysis of videos published on the JSDF's official YouTube channels, focusing on thematic content, user engagement metrics, …
Heartdj - Music Recommendation And Generation Through Biofeedback From Heart Rate Variability, Egemen Şahin
Heartdj - Music Recommendation And Generation Through Biofeedback From Heart Rate Variability, Egemen Şahin
Dartmouth College Master’s Theses
This study investigates the integration of real-time physiological data with AI-generated music to enhance emotional well-being, stress regulation, and focus, using Heart Rate Variability (HRV) as a biomarker of autonomic function. Conducted in two phases—Stable Audio Open (SAO) and Suno (SUNO)—the research evaluates biofeedback-driven music interventions across varying daily music-listening habits.
In the SAO phase, short AI-generated instrumental tracks were compared with Spotify recommendations and guided meditation. Modest HRV improvements were observed in biofeedback conditions, but participants noted emotional limitations, citing short track lengths and abrupt transitions.
The SUNO phase addressed these limitations with longer, more complex AI-generated compositions combined …
Juan Sánchez Cotán’S Still Lifes And Artistic Ingenio In Early Modern Toledo, Carmen Ripollés
Juan Sánchez Cotán’S Still Lifes And Artistic Ingenio In Early Modern Toledo, Carmen Ripollés
Schnitzer School of Art + Art History + Design Faculty Publications and Presentations
This essay brings new light on the creation and early reception of the still lifes of the Toledan painter Juan Sánchez Cotán. It focuses on Cotán’s friendship with and professional relationship to the metalworker Diego de Valdivieso and the manuscript illuminator Juan de Salazar, both of whom are recorded as being among the first owners of his still lifes. An analysis of these artists’ works vis-j-vis Cotán’s still lifes reveals similar technical and conceptual concerns, as well as a shared will to elevate their crafts to demonstrate ingenio. This analysis therefore places Cotán’s still lifes in the context of artistic …
Analysis Of The Represented Interior Space: Hermeneutic Study Of The Peres Maldonado Ex-Voto, Blanca Ruiz Esparza Díaz De León, Héctor Omar Gonzaléz Romo
Analysis Of The Represented Interior Space: Hermeneutic Study Of The Peres Maldonado Ex-Voto, Blanca Ruiz Esparza Díaz De León, Héctor Omar Gonzaléz Romo
Interiority
The paper demonstrates the application of Henri Lefebvre's postulates in the hermeneutical study of the Peres Maldonado Ex-voto, created in Aguascalientes in 1777. This piece, authored by an unknown artist, likely illustrates the first mastectomy performed in Mexican lands. This study employs an analytical framework that integrates the propositions made by the philosopher Henri Lefebvre and the experiential spatial systems proposed by the authors. The former formulates a conceptual foundation that unfolds the body in three spatial dimensions: mental, physical, and social. The unfolding could make possible the defragmentation of the painting's elements to analyse the concept of corporeality or …
Ai-Integrated Cross-Disciplinary Liberal Arts Colloquium, Diana S. Perdue, Niloofar Gholamrezaei, Jennifer Krusinger, Shannon Hogan
Ai-Integrated Cross-Disciplinary Liberal Arts Colloquium, Diana S. Perdue, Niloofar Gholamrezaei, Jennifer Krusinger, Shannon Hogan
Teaching Repository of AI-Infused Learning
What began organically as an AI-focused collaboration between faculty in different disciplines along with researchers in the college’s Center for Instructional Innovation, has evolved into college-wide pedagogical workshops and the development of a studio model that affects courses, programs, and paradigms for faculty scholarship.
Lessons from these collaborations inform understandings of how key features of liberal arts education can be supported through intentional AI-integration within a Cross-Disciplinary Liberal Arts Colloquium. More specifically, this colloquium offers recommendations on adapting a collaborative, interdisciplinary, and reflective studio model to in-person, online, and hybrid educational environments facilitated through a Technological Pedagogical Content Knowledge (TPACK) …
Where The Leaves Fall, Beatrice Shackelford
Where The Leaves Fall, Beatrice Shackelford
Student Work
"My Father in heaven wept the first tears for this world. He has and is working toward the redemption and restoration of His good creation."
Posting about experiencing awe in God's world from In All Things, an online hub that offers insight into maintaining and faithful and orthodox Reformed Christian worldview while fearlessly engaging in every aspect of contemporary life – until all is made new.
Challenges And Opportunities In The Dissemination Of Scientific Content: Insights From Media Professionals In Jordan, Ruba Mustafa Mohammad, Mahmoud Ahmad Al-Rajabi, Hala Nabil Amr
Challenges And Opportunities In The Dissemination Of Scientific Content: Insights From Media Professionals In Jordan, Ruba Mustafa Mohammad, Mahmoud Ahmad Al-Rajabi, Hala Nabil Amr
Middle East Journal of Communication Studies
This study explored the challenges and opportunities in disseminating scientific content from the perspective of media experts in Jordan. Using a descriptive methodology and a questionnaire, the research aimed to understand the landscape better. The sample included 343 media experts holding master's degrees or higher in various media fields, along with several journalists actively working in the sector. The study revealed several key findings. Chief among them are the numerous obstacles hindering the dissemination of scientific content in Jordanian media. These include a lack of training for journalists on accessing new scientific information, a general absence of critical thinking skills …
The Degree Of Dependence Of The Jordanian Public On Social Media In Health Awareness Of Obesity Diseases (Survey Study), Jumana Irshiedat, Kamel Khurshid Murad
The Degree Of Dependence Of The Jordanian Public On Social Media In Health Awareness Of Obesity Diseases (Survey Study), Jumana Irshiedat, Kamel Khurshid Murad
Middle East Journal of Communication Studies
The article aimed to reveal the dependency of social media platforms in educating the Jordanian public about obesity diseases and explore the cognitive, emotional, and behavioral effects on the Jordanian public. The survey method was adopted; an approach used in descriptive studies, and the questionnaire tool was used to a sample (357) of the Jordanian public in Amman. The study-produced results including the platform most used by the Jordanian public to receive knowledge about health awareness is WhatsApp in the first place, followed by Instagram and then Facebook. The results also showed that the health topics of most interest to …