Physical Sciences and Mathematics | Open Access Articles

From Carriage Wheels To Interest Rates: The Evolution Of Word Problems In Algebra Textbooks From 1901 To Today, Jemma Lorenat, Elodie Arbogast, Ethan Baer, Carla Condori Bazan, Robert Bettinger, Emily Carpenter, Hiawatha Davis Iii, Derick Grant, Olivia Howe, Neil Kelley, Maya Minier, Naima Orozco-Valdivia, Alan Peck, Carolina Saavedra, Sumesh Shiwakoty, Hunter Sidel, Carter Stripp, Josephine Terrien, Simone Wolynski, Leana Yearwood Jan 2020

From Carriage Wheels To Interest Rates: The Evolution Of Word Problems In Algebra Textbooks From 1901 To Today, Jemma Lorenat, Elodie Arbogast, Ethan Baer, Carla Condori Bazan, Robert Bettinger, Emily Carpenter, Hiawatha Davis Iii, Derick Grant, Olivia Howe, Neil Kelley, Maya Minier, Naima Orozco-Valdivia, Alan Peck, Carolina Saavedra, Sumesh Shiwakoty, Hunter Sidel, Carter Stripp, Josephine Terrien, Simone Wolynski, Leana Yearwood

Journal of Humanistic Mathematics

In teaching algebra, extra-mathematical word problems can bridge the gap between questions about abstract numbers and questions about everyday life. Thus, more than other aspects of elementary algebra, we would expect word problems to have changed in the recent past. This paper documents the findings of a collective research project that examined the content of such word problems over the past century. Alongside amusing and provocative examples, this paper shows how students can participate in exploratory research with primary sources from the history of mathematics.

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The Mathematics Of The Astrolabe And Its History, Graziano Gentili, Luisa Simonutti, Daniele C. Struppa Jan 2020

The Mathematics Of The Astrolabe And Its History, Graziano Gentili, Luisa Simonutti, Daniele C. Struppa

Journal of Humanistic Mathematics

In this article we trace the scientific and cultural history of the astrolabe, a mechanical instrument used in the past for astronomical measurements and navigational purposes. The story of the astrolabe is interesting from several points of view, since it intertwines mathematical developments, geographical explorations, changing worldviews, and different cultures and civilizations. In our explorations we move from the early understanding of the world due to the Greeks, to the loss of their work, its rediscovery, the reception of Arab thinkers in Western natural philosophy, and, finally, to the new European culture that emerged with the end of the Middle …

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College Students’ Images Of Mathematicians And Mathematical Careers, Katrina Piatek-Jimenez, Miranda Nouhan, Michaela Williams Jan 2020

College Students’ Images Of Mathematicians And Mathematical Careers, Katrina Piatek-Jimenez, Miranda Nouhan, Michaela Williams

Journal of Humanistic Mathematics

In this paper we report our findings of college students’ images of mathematicians and we reflect on different methodologies used to assess this information. The study reported in this paper was conducted in two stages. During the first stage, we asked 179 college students to “draw a mathematician” and also asked them to list five characteristics and five careers for a mathematician. In the second stage of the study, we conducted four focus group interviews with a total of twelve college students. During the focus group interviews, we showed the students 16 photos of real people and asked them to …

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Engaging The Paradoxical: Zeno's Paradoxes In Three Works Of Interactive Fiction, Michael Z. Spivey Jan 2020

Engaging The Paradoxical: Zeno's Paradoxes In Three Works Of Interactive Fiction, Michael Z. Spivey

Journal of Humanistic Mathematics

For over two millennia thinkers have wrestled with Zeno's paradoxes on space, time, motion, and the nature of infinity. In this article we compare and contrast representations of Zeno's paradoxes in three works of interactive fiction, Beyond Zork, The Chinese Room, and A Beauty Cold and Austere. Each of these works incorporates one of Zeno's paradoxes as part of a puzzle that the player must solve in order to advance and ultimately complete the story. As such, the reader must engage more deeply with the paradoxes than he or she would in a static work of fiction. …

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What Gets Checked At The Door? Embracing Students' Complex Mathematical Identities, Jennifer L. Ruef Jan 2020

What Gets Checked At The Door? Embracing Students' Complex Mathematical Identities, Jennifer L. Ruef

Journal of Humanistic Mathematics

Identity formation is complex, ongoing, and context specific. To be successful in mathematics classes, students must negotiate and navigate the normative identity of the class--what counts as being "good at math" (Cobb, Gresalfi & Hodge, 2009). Within the constraints of normative identity, students must also negotiate a personal doer-of-math identity: who they are within the context of this particular mathematics class. When students are compelled to suppress key aspects of their identity in order to accommodate the normative identity of the class cognitive bandwidth for learning may be impeded (Steele, 1997). Conversely, when students are guided in braiding individual identity …

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John Cheever's Story "The Geometry Of Love", Robert Haas Jan 2020

John Cheever's Story "The Geometry Of Love", Robert Haas

Journal of Humanistic Mathematics

Though John Cheever was a leading writer of short fiction, his story “The Geometry of Love” has received little prior literary or mathematical comment. In this essay it is read, against the background of Cheever’s own troubled life and marriage, as a Don Quixote – like search, explicitly following the model of Euclidean geometry, and at times wildly funny, for an ideal world of truth and happiness.

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Starting Our Decennial, Mark Huber, Gizem Karaali Jan 2020