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Articles 1 - 9 of 9
Full-Text Articles in Number Theory
Using Bloom's Taxonomy For Math Outreach Within And Outside The Classroom, Manmohan Kaur
Using Bloom's Taxonomy For Math Outreach Within And Outside The Classroom, Manmohan Kaur
Journal of Humanistic Mathematics
Not everyone is a great artist, but we don’t often hear, “I dislike art.” Most people are able to appreciate visual arts, music and sports, without necessarily excelling in it themselves. On the other hand, the phrase “I dislike math” is widely prevalent. This is especially ironic in our current society, where mathematics affects our day-to-day activities in essential ways such as e-commerce and e-mail. This paper describes the opportunity to popularize mathematics by focusing on its fun and creative aspects, and illustrates this opportunity through a brief discussion of interdisciplinary topics that expose the beauty, elegance and value of …
Plane Figurate Number Proofs Without Words Explained With Pattern Blocks, Gunhan Caglayan
Plane Figurate Number Proofs Without Words Explained With Pattern Blocks, Gunhan Caglayan
Journal of Humanistic Mathematics
This article focuses on an artistic interpretation of pattern block designs with primary focus on the connection between pattern blocks and plane figurate numbers. Through this interpretation, it tells the story behind a handful of proofs without words (PWWs) that are inspired by such pattern block designs.
Arithmetics, Interrupted, Matilde Lalín
Arithmetics, Interrupted, Matilde Lalín
Journal of Humanistic Mathematics
I share some of my adventures in mathematical research and homeschooling in the time of COVID-19.
Computational Thinking In Mathematics And Computer Science: What Programming Does To Your Head, Al Cuoco, E. Paul Goldenberg
Computational Thinking In Mathematics And Computer Science: What Programming Does To Your Head, Al Cuoco, E. Paul Goldenberg
Journal of Humanistic Mathematics
How you think about a phenomenon certainly influences how you create a program to model it. The main point of this essay is that the influence goes both ways: creating programs influences how you think. The programs we are talking about are not just the ones we write for a computer. Programs can be implemented on a computer or with physical devices or in your mind. The implementation can bring your ideas to life. Often, though, the implementation and the ideas develop in tandem, each acting as a mirror on the other. We describe an example of how programming and …
A Few Firsts In The Epsilon Years Of My Career, Heidi Goodson
A Few Firsts In The Epsilon Years Of My Career, Heidi Goodson
Journal of Humanistic Mathematics
In this essay, I describe the unexpected ways I achieved some milestones in the early years of my career.
A Math Poem, Sara R. Katz
Rock Art Tallies: Mathematics On Stone In Western North America, James V. Rauff
Rock Art Tallies: Mathematics On Stone In Western North America, James V. Rauff
Journal of Humanistic Mathematics
Western North America abounds with rock art sites. From Alberta to New Mexico and from Minnesota to California one can find the enigmatic rock paintings and rock carvings left by the pre-Columbian inhabitants. The images left behind on the rocks of the American plains and deserts are those of humanoids and animals, arrows and spears, and a variety of geometric shapes and abstract designs. Also included, in great numbers, are sequences of repeated shapes and marks that scholars have termed "tallies." The tallies are presumed to be an ancient accounting of something or some things. This article examines rock art …
Some Contributions To The Sociology Of Numbers, Robert Dawson
Some Contributions To The Sociology Of Numbers, Robert Dawson
Journal of Humanistic Mathematics
Those who work with numbers eventually realize that they all have different personalities (the word "numbers" can of course be replaced by any number of other nouns here.) Here is one view of the issue.
Prove It!, Kenny W. Moran
Prove It!, Kenny W. Moran
Journal of Humanistic Mathematics
A dialogue between a mathematics professor, Frank, and his daughter, Sarah, a mathematical savant with a powerful mathematical intuition. Sarah's intuition allows her to stumble into some famous theorems from number theory, but her lack of academic mathematical background makes it difficult for her to understand Frank's insistence on the value of proof and formality.