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Articles 1  30 of 2357
FullText Articles in Physical Sciences and Mathematics
Analysis Of Biologically Effective Dose For Retroactive Yttrium90 TransArterial Radioembolization Treatment Optimization, Mj Lindsey
CMC Senior Theses
Transarterial radioembolization (TARE) is a protracted modality of radiation therapy where radionuclides labeled with Yttrium90 (^{90}Y) are inserted inside a patient's hepatic artery to treat hepatocellular carcinoma (HCC). While TARE has been shown to be a clinically effective and safe treatment, there is little understanding of the radiobiological relationship between absorbed dose and tissue response, and thus there is no dosimetric standard for treatment planning. The Biologically Effective Dose (BED) formalism, derived from the LinearQuadratic model of radiobiology, is used to weigh the absorbed dose by the time pattern of delivery. BED is a virtual dose that can …
Stem Education And Retention For Black Women Using HighImpact Practices: Historically Black Colleges And Universities Vs. Predominantly White Liberal Arts Colleges, Annette Njei
CMC Senior Theses
Black women are significantly underrepresented within the fields of science, technology, engineering, and mathematics (STEM). To address this, the Association of American Colleges & Universities crafted ten highimpact practices to increase student engagement and promote retention. This research paper examines how three specific highimpact practices (learning communities, mentoring, and undergraduate research experience) are utilized in STEM education.This research paper explores and compares the best high impact approaches that successfully teach and retain Black women within the various fields of STEM within the differing academic environments of historically Black colleges & universities ( HBCUs) and predominantly white liberal art colleges (PWLACs). …
The Eu's Capacity To Lead The Transatlantic Alliance In Ai Regulation, Varun Roy, Vignesh Sreedhar
The Eu's Capacity To Lead The Transatlantic Alliance In Ai Regulation, Varun Roy, Vignesh Sreedhar
ClaremontUC Undergraduate Research Conference on the European Union
In the face of Chinese advances in AI in terms of technological prowess and influence, there has been a call for collaboration between the EU and the US to create a foundation for AI governance based on shared democratic beliefs. This paper maps out the EU, US, and Chinese approaches to AI development and regulation as we analyze the capacity of the US and EU to establish international standards for AI regulation through channels such as the TTC. As the EU rolled out a proportionate and riskbased approach to ensure stricter regulation for highrisk AI technologies, it laid the foundation …
A Generalized Method Of Undetermined Coefficients, James S. Cook, William J. Cook
A Generalized Method Of Undetermined Coefficients, James S. Cook, William J. Cook
CODEE Journal
The method of undetermined coefficients is used to solve constant coefficient nonhomogeneous differential equations whose forcing function is itself the solution of a homogeneous constant coefficient differential equation. In this paper, we show that the classical methods for tackling constant coefficient equations, including the method of undetermined coefficients, generalize to much wider class linear differential equations which, for example, include CauchyEuler type equations. This general method includes an explicit construction of the fundamental solution sets of such equations. We also briefly consider where this method can be applied by producing the most general second and third order differential equations that …
Mathematical Constants Beyond The HalfCircle: An Open Call For Poetry, Mark Huber, Gizem Karaali
Mathematical Constants Beyond The HalfCircle: An Open Call For Poetry, Mark Huber, Gizem Karaali
Journal of Humanistic Mathematics
The Journal of Humanistic Mathematics invites submissions of mathematical poetry for an upcoming poetry folder tentatively titled Mathematical Constants Beyond the HalfCircle. Please send your submissions via email to the editors by November 1, 2022. Publication decisions will be made by December 31, 2022. The folder is expected to appear in January 2023.
Squate, Tom Blackford
Squate, Tom Blackford
Journal of Humanistic Mathematics
This is the story of a middle school student who befriends an irrational number, the square root of eight.
A Topologist’S Broken Heart, Josh Hiller
A Topologist’S Broken Heart, Josh Hiller
Journal of Humanistic Mathematics
A poem about a topologist's broken heart.
Perturbation  For Nature Computes On A Straight Line (In Seven Balancing Acts), Vijay Fafat
Perturbation  For Nature Computes On A Straight Line (In Seven Balancing Acts), Vijay Fafat
Journal of Humanistic Mathematics
What if all of our Reality is a simulation? What, perhaps, are the unintended artifacts if we are an "approximate" simulation because God could not muster sufficient computational power for the Equations capturing the ultimate Theory of Everything? Are life and Sentience something She intended, a problem with the simulation's code, or an irreducible, teleological inevitability in Creation?
Spurious Correlation Sestina, Jules Nyquist
Spurious Correlation Sestina, Jules Nyquist
Journal of Humanistic Mathematics
This is a sestina poem about Spurious Correlations with a magical realism angle for beginning students learning statistics for the first time during the COVID pandemic.
Doughnut At The End Of Space, Deborah Coy
Doughnut At The End Of Space, Deborah Coy
Journal of Humanistic Mathematics
No abstract provided.
Ode To Delta, Evandro Il Cinico
Ode To Delta, Evandro Il Cinico
Journal of Humanistic Mathematics
No abstract provided.
Scientists Confirm Euler's Identity Is Math's Most Beautiful Expression, John F. Donoghue
Scientists Confirm Euler's Identity Is Math's Most Beautiful Expression, John F. Donoghue
Journal of Humanistic Mathematics
The poem is an exploration of the natures of mathematical and artistic beauty.
Circular Meditations, Kevin Farey
Circular Meditations, Kevin Farey
Journal of Humanistic Mathematics
Circular Meditations is a sequence of seventeen interconnected poems pertaining to mathematics, science, history, politics, religion, and spirituality.
Mathematics Education As Dystopia: A Future Beyond, Peter Appelbaum, Charoula Stathopoulou, Constantinos Xenofontos
Mathematics Education As Dystopia: A Future Beyond, Peter Appelbaum, Charoula Stathopoulou, Constantinos Xenofontos
Journal of Humanistic Mathematics
We argue that scholars and practitioners of mathematics education need to find new directions through recognition of its dystopic characteristics, and embrace these characteristics as both the source of challenges and method of response. This contrasts with the generally utopic approach of most scholarship in the field. We offer critical ethnomathematics education as a model, since it has its own origins in lingering dystopic legacies. A perpetual hopelessness and disempowerment is one implicit curriculum of contemporary mathematics education, where the mathematics one learns might help to describe things, yet hardly assists in transforming the reification of power and agency in …
Ramanujan Cab Numbers: A Recreational Mathematics Activity, Soumya Banerjee
Ramanujan Cab Numbers: A Recreational Mathematics Activity, Soumya Banerjee
Journal of Humanistic Mathematics
In this paper, I introduce teaching activities about Ramanujan’s cab numbers and related software that can inspire people and help them enjoy these beautiful mathematical creations.
Academic Hats And Ice Cream: Two Optimization Problems, Valery F. Ochkov, Yulia V. Chudova
Academic Hats And Ice Cream: Two Optimization Problems, Valery F. Ochkov, Yulia V. Chudova
Journal of Humanistic Mathematics
This article describes the use of computer software to optimize the design of an academic hat and an ice cream cone!
Mining The Soma Cube For Gems: Isomorphic Subgraphs Reveal Equivalence Classes, Edward Vogel, My Tram
Mining The Soma Cube For Gems: Isomorphic Subgraphs Reveal Equivalence Classes, Edward Vogel, My Tram
Journal of Humanistic Mathematics
Soma cubes are an example of a dissection puzzle, where an object is broken down into pieces, which must then be reassembled to form either the original shape or some new design. In this paper, we present some interesting discoveries regarding the Soma Cube. Equivalence classes form aesthetically pleasing shapes in the solution set of the puzzle. These gems are identified by subgraph isomorphisms using SNAP!/Edgy, a simple blockbased computer programming language. Our preliminary findings offer several opportunities for researchers from middle school to undergraduate to utilize graphs, group theory, topology, and computer science to discover connections between computation and …
Creative Writing That Combines Mathematics And Literature, HsuehChen Lee
Creative Writing That Combines Mathematics And Literature, HsuehChen Lee
Journal of Humanistic Mathematics
In early 2015, the MathematicsLiterature Creativity Award was offered through competition for technological and vocational college students in Taiwan. This paper focuses on the two winning works, the poem Parabola and the flashfiction, Love Letters of a Science Student, by analyzing the mathematical notions involved and their uses to enhance literary expression. The introduction surveys briefly the various ways of combining mathematics and literature in a piece of creative writing that enriches and supports communication in both disciplines.
Calculus Iii: Under The Influence Of Peer Instruction, Alan Von Herrmann, L. Jeneva Clark
Calculus Iii: Under The Influence Of Peer Instruction, Alan Von Herrmann, L. Jeneva Clark
Journal of Humanistic Mathematics
In peer Instruction, students engage with core course concepts and then explain those concepts to one another in small groups. Unlike in lecture format, peer instruction involves every student in the class. In Spring 2019, the first authot began using a modified version of peer instruction in Calculus III classes. He started each class by discussing important Calculus III concepts from three standpoints (the formula, the geometry behind the formula, and the physics behind the formula). During the last 20 minutes of each 50minute class session, he polled the students using questions in the “Goldilocks Zone” – not too hard …
The Fractal Geometry Of Mathematics Classrooms: Navigating Classroom Environments In FactoryModel Schools, Cacey L. Wells
The Fractal Geometry Of Mathematics Classrooms: Navigating Classroom Environments In FactoryModel Schools, Cacey L. Wells
Journal of Humanistic Mathematics
Mathematics education has a diverse and complex history. After decades of national reform, mathematics classrooms today are still in desperate need of change. This article examines the current state of factorymodel schooling through the lens of Mandelbrot's The Fractal Geometry of Nature in order to rethink pedagogic practices.
Irruption Of The New: Truth, Events, History, Parallels, Fidelity, David L. Neel
Irruption Of The New: Truth, Events, History, Parallels, Fidelity, David L. Neel
Journal of Humanistic Mathematics
A historical meditation on nonEuclidean geometry, three Jesuits, a radical egalitarian mathematical philosopher, and the atom bomb, structured by wordcount with attention to divisors of 441 and the Fano plane.
In Mathematics, As In Art, Andrew Granville
In Mathematics, As In Art, Andrew Granville
Journal of Humanistic Mathematics
The artist’s vision helps decide what should be created; the mathematician’s insight what can be created. Yet most people view art as merely decoration, or a reflection of existing reality, while they think of mathematics as just a tool for accurate scientific description. Can more people learn to value and enjoy both art and mathematics? And spend a lifetime exploring them and appreciating them for their own sakes?
The Aleph Of Borges And The Paradise Of Cantor, Raffaella Mulas
The Aleph Of Borges And The Paradise Of Cantor, Raffaella Mulas
Journal of Humanistic Mathematics
The mathematician Georg Cantor, the writer Jorge Luis Borges, and the protagonist of Borges' short story The Aleph, Carlos Argentino Daneri, are seen here as three pieces of a single puzzle. We put these pieces together and we look at the surprising figure that we obtain.
Mathematical Counterpoint: A Short Essay On The Point, Ruža Jeličić
Mathematical Counterpoint: A Short Essay On The Point, Ruža Jeličić
Journal of Humanistic Mathematics
The dot is the simplest graphic symbol, and in the most diverse areas of human thought it signifies the original principle. At the point as a symbol lies the basis of antinomy in the corresponding areas; as the beginning of everything, the point is and is not. The dot represents emptiness, but also fullness. It is imagined on the border of being and nonbeing, either as a place of transition from what we consider reality in everyday life  to its negation, or, on the contrary, as a transition from otherworldly reality to nothingness here. In any case, the point …
Higher Meanings: A Speaker Series Connecting Mathematics And Religion, Lawrence M. Lesser, Patricia S. Barrientos, Ben Zeidman
Higher Meanings: A Speaker Series Connecting Mathematics And Religion, Lawrence M. Lesser, Patricia S. Barrientos, Ben Zeidman
Journal of Humanistic Mathematics
An innovative grantfunded general adult audiences international speaker series on connections between mathematics and religion yielded six 2021 (now archived) presentations. We share reflections and lessons learned, informed by two sets of surveys.
Conic Diagrams, David Pierce
Conic Diagrams, David Pierce
Journal of Humanistic Mathematics
Textbooks may say that the socalled conic sections can be obtained from cones, but this is rarely proved. However, diagrams of the proof require no intuition for solids and can be read as flat. We construct the diagrams with ruler and compass and derive from them basic properties of conic sections as established by Apollonius of Perga, though again in a way that does not require a third dimension. The construction inevitably involves choices that give play to one’s aesthetic sense.
Navigating Mathematics Teacher Preparation During A Time Of Crisis, Zareen G. Rahman, Rani Satyam, Younggon Bae
Navigating Mathematics Teacher Preparation During A Time Of Crisis, Zareen G. Rahman, Rani Satyam, Younggon Bae
Journal of Humanistic Mathematics
In this paper we highlight the experience of a mathematics teacher educator (MTE) and their prospective teachers (PTs) in a middle school mathematics methods course during the 2020 shift to online instruction due to the COVID19 pandemic. We believe it is valuable to report how the MTE reflected on their instructional decisionmaking in response to this massive transition to remote instruction. We also report that PTs needed support and guidance to employ new teaching practices they had learned in the methods course instead of reverting to familiar teaching methods.
What In The World Just Happened? Students’ SelfRegulation In Asynchronous Precalculus During The Covid19 Pandemic, Whitney George, Keith Gallagher
What In The World Just Happened? Students’ SelfRegulation In Asynchronous Precalculus During The Covid19 Pandemic, Whitney George, Keith Gallagher
Journal of Humanistic Mathematics
We describe students’ learning practices in an online asynchronous PreCalculus course during Fall 2020, the first complete semester of distance learning induced by the COVID19 pandemic. Results were compiled using a thematic analysis of a questionnaire administered to 43 students enrolled in PreCalculus at a university in the Midwest (United States). Students were given opportunities for active learning and various synchronous Q&A sessions, yet they primarily learned through watching videos and reading worked examples, minimizing interactions with the instructor and available tutors. The questionnaire results show that students knew active learning was helpful, but they were unable to curtail unproductive …
Social Justice And Exponential Functions: Using Pandemic Data To Increase Student Understanding, Jane Friedman
Social Justice And Exponential Functions: Using Pandemic Data To Increase Student Understanding, Jane Friedman
Journal of Humanistic Mathematics
This paper describes a class activity based on real data about COVID19 death rates in California. The activity helps students learn about exponential functions while providing an opportunity to integrate social justice concerns into the mathematics classroom.
Beyond Ethics: Considerations For Centering EquityMinded Data Science, Nathan Alexander, Carrie Diaz Eaton, Anelise H. Shrout, Belin Tsinnajinnie, Krystal Tsosie
Beyond Ethics: Considerations For Centering EquityMinded Data Science, Nathan Alexander, Carrie Diaz Eaton, Anelise H. Shrout, Belin Tsinnajinnie, Krystal Tsosie
Journal of Humanistic Mathematics
In this paper, we utilize duoethnography  a research method in which practitioners discursively interrogate the relationships between culture, context, and the mechanisms which shape individual autobiographical experiences  to explore what may be beyond ethics in the context of data science. Although ethical frameworks have the ability to reflect cultural priorities, a singular view of ethics, as we explore, often fails to speak to the multiple and diverse priorities held both within and across institutional spaces. To that end, this paper explores multiple perspectives, epistemologies, and worldviews that can collectively push researchers towards considerations of a data science education …