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Defining Areas Of Interest Using Voronoi And Modified Voronoi Tesselations To Analyze Eye-Tracking Data, Joanna D. Coltrin 2022 Utah State University

Defining Areas Of Interest Using Voronoi And Modified Voronoi Tesselations To Analyze Eye-Tracking Data, Joanna D. Coltrin

All Graduate Theses and Dissertations

Eye tracking is a technology used to track where someone is looking. Eye-tracking technology is often used to study what people focus on when looking at a photo of another person. The eye-tracking technology records points on a photo that a person is looking at. When the photo being looked at shows a person, the points can be categorized by body part such as head, right hand, left hand, and torso. This thesis presents the use of partially circular areas to define the body parts of the person in the photo and therefore categorize the points collected by the eye-tracker ...


Mathematical Constants Beyond The Half-Circle: An Open Call For Poetry, Mark Huber, Gizem Karaali 2022 Claremont McKenna College

Mathematical Constants Beyond The Half-Circle: 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 Half-Circle. 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 2022 Western Illinois University

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 2022 Adelphi University

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 2022 Claremont Colleges

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 2022 Claremont Colleges

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 2022 University of New Mexico

Doughnut At The End Of Space, Deborah Coy

Journal of Humanistic Mathematics

No abstract provided.


Ode To Delta, Evandro il Cinico 2022 University of Western Australia

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 2022 Cleveland State University

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 2022 San Francisco Waldorf High School

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 2022 Arcadia University

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 2022 University of Cambridge

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 2022 Moscow Power Engineering Institute (National Research University)

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 2022 Whittier Neighborhood Math Circle

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 block-based 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 ...


Creative Writing That Combines Mathematics And Literature, Hsueh-Chen Lee 2022 Wenzao Ursuline University of Languages

Creative Writing That Combines Mathematics And Literature, Hsueh-Chen Lee

Journal of Humanistic Mathematics

In early 2015, the Mathematics-Literature 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 flash-fiction, 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 2022 Colorado School of Mines

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 50-minute class session, he polled the students using questions in the “Goldilocks Zone” – not too hard and ...


The Fractal Geometry Of Mathematics Classrooms: Navigating Classroom Environments In Factory-Model Schools, Cacey L. Wells 2022 Appalachian State University

The Fractal Geometry Of Mathematics Classrooms: Navigating Classroom Environments In Factory-Model 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 factory-model 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 2022 Seattle University

Irruption Of The New: Truth, Events, History, Parallels, Fidelity, David L. Neel

Journal of Humanistic Mathematics

A historical meditation on non-Euclidean geometry, three Jesuits, a radical egalitarian mathematical philosopher, and the atom bomb, structured by word-count with attention to divisors of 441 and the Fano plane.


In Mathematics, As In Art, Andrew Granville 2022 Université de Montréal

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 2022 The Alan Turing Institute, London

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.


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