Digital Commons Network^™

The Fake Mathematical Mindsets Of Preservice Teachers, Carmen M. Latterell

Journal of Humanistic Mathematics

Many students have a fixed mindset, as do some teachers. Recently I accidentally discovered that most of the preservice elementary teachers in my class were faking their mindset and pretending that they had a growth mindset. This raises a variety of questions, such as, will this follow a fake it until you make it track?

Small Number And The Old Game, Veselin Jungic

Journal of Humanistic Mathematics

Through a conversation between Small Number and his Auntie, this article describes the Throwing Game, a Haida tradition recorded by John Swanton in 1905. Several mathematical concepts that may be associated to the game are mentioned.

Examples Of Mathematics Personified, Amenda N. Chow

Journal of Humanistic Mathematics

Synesthesia is a cognitive condition in which multiply senses are stimulated at once. There are different types of synesthesia. For example, in a documented study [9], a person with synesthesia when considering the number three associates it as a male and a jerk. This association is persistent, always the same and automatic. Presented here are a variety of examples about mathematics in personified form. These examples focus on using personification as a way to better understand and appreciate mathematics.

Math Anxiety And Shame Exemplified On The Reality Show Survivor, James Drimalla, Dru Horne

Journal of Humanistic Mathematics

In an episode of season 45 of the reality show Survivor, three contestants competed in a challenge involving mathematics. In their reflections and responses to the challenge, the contestants discussed feelings of anxiety, fear, and shame. In this article, we describe (a) the challenge, (b) the three contestants’ attempts to complete the challenge and their responses to the challenge, (c) responses to the challenge in the media, and (d) relevant details of our personal experiences and related backgrounds. We then discuss themes of math anxiety, shame, and virtues, and encourage leaders in mathematical spaces to place a higher value on …

Introducing The Linear Poem, Cristian Ramirez Rodriguez

Journal of Humanistic Mathematics

In this article I introduce the linear poem, a poetic form I developed in fall 2023 as a pedagogical tool for high-school students. The linear poem is a poem which represents an integer valued linear function, treating the line numbers as inputs and the linguistic units in a line as outputs. Two examples of linear poems are given as well as the steps taken to produce them. By interpreting poetic forms as integer-valued functions as is done in this article, interdisciplinary pedagogy can be achieved, allowing educators and students to express mathematical ideas such as slope-intercept form in a creative …

A Dualistic Interpretation Of Mathematical Creation Through Art And Argumentation, Sofia Almpani, Petros Stefaneas, Mihir Chakraborty

Journal of Humanistic Mathematics

Creativity, informal reasoning and dynamic exchange of ideas form the pulsating heart of mathematical creation. In this approach, the concept of a mathematical object surpasses conventional boundaries of formal presentation, as they also encompass the intention to prove, significant creative stages within the proving, and the overall experience of prover's journey, which may involve arguments, debates, discovery insights, aesthetic visualizations, and narrative elements. In this paper we present two conceptual frameworks, namely Argumentation-based Proof-Events Calculus (APEC) and Mathematical RUPAs, in order to provide distinct yet interconnected perspectives on informal thinking, knowledge creation, and proving in mathematics. Following the two perspectives, …

On Gödel’S Incompleteness Theorem, David Pierce

Journal of Humanistic Mathematics

Gödel’s Incompleteness Theorem is about the logic of mathematics. It is that a certain mathematical structure is so rich that its theory cannot be completely axiomatized. This means there will always be true statements about the structure that cannot be proved as theorems from previously given axioms. To give meaning to this conclusion, we review some examples of mathematical theorems, and their proofs, in geometry, algebra, and logic; we also give an example of a structure that is so simple (while still being interesting) that its theory can indeed be completely axiomatized. First we look at a couple of popular …

Exploring Commutativity In A Hindi Language Classroom, Kumar Gandharv Mishra

Journal of Humanistic Mathematics

Commutativity is an important concept in mathematics. However, not much emphasis is given to it in the elementary or secondary school curriculum, as there is a lack of interesting noncommutative examples at this level. Since most examples of binary operations provided deal with numbers, commutativity appears trivial. In this article we offer an interesting example of noncommutativity that is familiar to Indian school children from a different context. Students in India study a chapter based on the joining of vowels in Hindi grammar. This process is analogous to producing commutative as well as noncommutative operations. When we bring in mathematical …

Revisiting A 19th Century Vector Algebra Book, Olcay Coskun, Alp Eden, Ersin Karabudak

Journal of Humanistic Mathematics

Hidden gems of mathematics can be recovered when one digs into what might seem an obscure text. In 1882, military officer Vidinli Hüseyin Tevfik Pasha published a book on vector algebra titled Linear Algebra. In this article we revisit the second edition of this book, emphasizing the special multiplication that we call the ’v-product’. This product has both geometric and algebraic characteristics. We attempt to clarify its relationship with complex and quaternion multiplication both geometrically and algebraically. The resulting algebra is called the Vidinli algebra. This algebra admits a Lie algebra structure that gives rise to Heisenberg algebra. We introduce …

Memes As An Effective Approach To Increase Public Engagement With Mathematical Concepts, Juan M. Romero, Carlos Trenado

Journal of Humanistic Mathematics

A meme is a graphical concept or cultural item that is disseminated via the Internet, often through social media platforms. Memes serve as a mechanism for replicating cultural traits by incorporating aspects of cultural mutation and evolution. The potential of memes in learning and education has been emphasized in several recent studies. The present article examines the impact of memes in increasing public engagement with mathematics and mathematical concepts. By focusing on memes that exhibit specific attributes—such as emotional facial expressions of recognizable human characters and dialogues emphasizing the usefulness or beauty of a mathematical concept—we observe a significant increase …

Evaluating Methods Used To Quantify Racial Segregation, Sarah Cannon, Zarina Dhillon

Journal of Humanistic Mathematics

Racial segregation has long been a problem in communities across the United States. One approach to help understand such an important issue is to attempt to describe it quantitatively. Many metrics have been developed, all with various strengths and weaknesses, but none fully capture the nuances of this complicated issue. This work provides an overview of four of the mathematical approaches that have been developed to study segregation, explains how they function using small examples, and compares and contrasts their effectiveness in various situations. We then focus on segregation in Los Angeles (LA) County, including a detailed exploration of the …

Graphical Timetables As A Real-Life Example Of Different Representations Of Functions, Olav G. Imenes

Journal of Humanistic Mathematics

This paper examines 203 pre-service teachers' reactions and learning when they were introduced to a real-life situation in which it is natural to publish officially both graphs and tables of a given function: the situation of operating a railway. I found that almost all the pre-service teachers managed the easiest tasks, like calculating speeds, distances, and time for train represented by graphs. However, the more complicated tasks, which required interpretations of the graphs and tables, such as planning for a delayed train, finding which trains were locals, freight trains etc., were more difficult for them to grasp. There were few …

A Practical Rule Of Divisibility By 7 In Uqlīdisī’S Kitāb Al-Fuṣūl Fī Al-Ḥisāb Al-Hindī, Müjdat Takıcak, Mertkan Şimşek

Journal of Humanistic Mathematics

There are many known examples of divisibility rules in modern mathematics. However, some of these rules are far from being practical, such as the current divisibility rule by 7. A far more useful method can be found in the work of the tenth-century Islamic mathematician Abū al-Ḥasan al-Uqlīdisī (d. 980), who proposed a divisibility rule for 7 in his treatise Kitāb al-Fuṣūl fī al-Ḥisāb al-Hindī. Compared to modern techniques, Uqlīdisī’s rule is both simpler and more practical. This article (re)introduces this rule, and provides an exposition of the mathematical reasoning that underpins it.

Front Matter

Journal of Humanistic Mathematics

No abstract provided.

What Can Mathematics Do For Us?, Mark Huber, Gizem Karaali

Journal of Humanistic Mathematics

No abstract provided.

"Beyond The Veil: Stories Of Divine Encounter", Noah Sharp

Night Flight: Online Literary Journal

This abstract delves into the transformative journey of Jack Randall, whose life takes a profound turn after a near-fatal collision in rural Kansas. Jack's odyssey spans the thin veil between life and the afterlife, where he encounters the ethereal and navigates realms of dreams and spiritual awakening. Guided by the wisdom of Elijah and an angelic presence, Jack's experiences challenge conventional perceptions of existence and illuminate the interconnectedness of human experience. Through moments of uncertainty and revelation, Jack's story becomes a poignant exploration of resilience, faith, and the enduring quest for meaning in the face of life's fragility. His journey …

The Vanished Patrol, Riley Zaborowsky

Night Flight: Online Literary Journal

A group of Soldiers step out on a patrol they will never forget.

The Tax Adviser, Volume 12, Number 11, November 1981, American Institute Of Certified Public Accountants

Tax Adviser

No abstract provided.

Sale Of A Residence: A Closer Look, Patrick B. Dorr, John H. Wilguess

Tax Adviser

No abstract provided.

Tax Clinic, Darwin Broenen

Tax Adviser

No abstract provided.

Highlights Of The Economic Recovery Tax Act Of 1981, Gerald W. Padwe, David D. Green

Tax Adviser

No abstract provided.

Critique Of Pure Reason, Immanuel Kant

Hannah Arendt Marginalia - All

Macmillan: St Martin’s Press, 1963

Call #: B2778 .E5 S5

Contains marginalia.

PDF Information: 247 pages – 112.5mb

Kant’S Political Writings, Immanuel Kant

Hannah Arendt Marginalia - All

Cambridge, University Press, 1970

Call #: JC181 .K295

Contains marginalia, underlining and marginal lining.

PDF Information: 48 pages – 21mb

Critique Of Judgement, Immanuel Kant

Hannah Arendt Marginalia - All

New York, Hafner Pub. Co. [c1951, 1964]

Call #: B 2783 .E5 B5 1964

Contains underlining, marginal lining

PDF Information: 119 pages – 61 MB

The Complete Jefferson, Thomas Jefferson

Hannah Arendt Marginalia - All

New York, Distributed by Duell, Sloan & Pearce, Inc. [1943]

Call #: E302 .J4564

Contains marginalia, underlining, marginal lining and endpaper notes

PDF Information: 43 pages – 3 MB

The Life And Selected Writings Of Thomas Jefferson, Thomas Jefferson

Hannah Arendt Marginalia - All

New York: The Modern library, 1944

Contains light underlining and marginalia.

Call #: E332 .J47

PDF Information: 35 pages – 13.7mb

The Phenomenon Of Life: Toward A Philosophical Biology, Hans Jonas

Hannah Arendt Marginalia - All

New York, Harper & Row, 1966

Call #: BD431 .J48

Contains underlining and marginal lining.

PDF Information: 21 pages – 14mb

Considering What Counts: The Limits Of Proxy Measures, Keith R. Johnson, Joel Best

Numeracy

People working with data adopt proxy measures when they find it difficult to measure something directly. In the U.S., infanticide (fairly easy to count) is used as a proxy for physical child abuse. However, infanticide is harder to count cross-nationally, leading researchers to use sex ratios as a proxy for infanticides

Bayes In The Brain: A Review Of Everything Is Predictable: How Bayesian Statistics Explain Our World, (2024) By Tom Chivers., Michael T. Catalano

Numeracy

Tom Chivers’ Everything is Predictable: How Bayesian Statistics Explain Our World, is an interesting and wide-ranging narrative on Bayesian thinking, its history, and its applicability to both our everyday lives and the pursuit of scientific truth. Although appropriate for the non-expert, afficionados and teachers of quantitative literacy should find the plethora of examples, links to psychology as it applies to how people reason about probabilities, and even Chivers’ philosophical musings informative and thought-provoking.

Aristotle; Fundamentals Of The History Of His Development., Werner Jaeger

Hannah Arendt Marginalia - All

London, Oxford University Press, 1962

Call #: B485 .J33 1962

Contains marginalia, underlining, marginal lining and endpaper notes.

PDF Information: 77 pages – 54 mb