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Poetry Folder: Mathematical Constants Beyond the Half-Circle 诗歌文件夹:半圆以外的数学常数
IF 0.3
Journal of Humanistic Mathematics Pub Date : 2023-01-01 DOI: 10.5642/jhummath.leoo6549
Poetry Folder
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引用次数: 0
The Mathematics of the Harp: Modeling the Classical Instrument and Designing Futuristic Ones 竖琴的数学:古典乐器的建模和未来的设计
IF 0.3
Journal of Humanistic Mathematics Pub Date : 2023-01-01 DOI: 10.5642/jhummath.gezg5395
Cristina Carr, Daniel Chioffi, Maya Glenn, Stefan Nita, V. Nita, Bogdan G. Nita
{"title":"The Mathematics of the Harp: Modeling the Classical Instrument and Designing Futuristic Ones","authors":"Cristina Carr, Daniel Chioffi, Maya Glenn, Stefan Nita, V. Nita, Bogdan G. Nita","doi":"10.5642/jhummath.gezg5395","DOIUrl":"https://doi.org/10.5642/jhummath.gezg5395","url":null,"abstract":"We analyze and model the neck of the classical harp based on the length of the strings, their tension and density. We then use the results to design new and innovative harp shapes by adjusting the parameters of the model","PeriodicalId":42411,"journal":{"name":"Journal of Humanistic Mathematics","volume":" ","pages":""},"PeriodicalIF":0.3,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48144016","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The Merchant and the Mathematician: Commerce and Accounting 《商人与数学家:商业与会计
IF 0.3
Journal of Humanistic Mathematics Pub Date : 2023-01-01 DOI: 10.5642/jhummath.cdrw3514
G. Gentili, Luisa Simonutti, D. Struppa
{"title":"The Merchant and the Mathematician: Commerce and Accounting","authors":"G. Gentili, Luisa Simonutti, D. Struppa","doi":"10.5642/jhummath.cdrw3514","DOIUrl":"https://doi.org/10.5642/jhummath.cdrw3514","url":null,"abstract":"In this article, we describe the invention of double-entry bookkeeping (or partita doppia as it was called in Italian) as a fertile intersection between mathematics and early commerce. We focus our attention on this seemingly simple technique that requires only minimal mathematical expertise, but whose discovery is clearly the result of a mathematical way of thinking, in order to make a conceptual point about the role of mathematics as the humus from which disciplines as different as operations research, computer science, and data science have evolved","PeriodicalId":42411,"journal":{"name":"Journal of Humanistic Mathematics","volume":" ","pages":""},"PeriodicalIF":0.3,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42326908","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The Genesis of a Theorem 一个定理的起源
IF 0.3
Journal of Humanistic Mathematics Pub Date : 2023-01-01 DOI: 10.5642/jhummath.lmmv7107
O. Marrero
{"title":"The Genesis of a Theorem","authors":"O. Marrero","doi":"10.5642/jhummath.lmmv7107","DOIUrl":"https://doi.org/10.5642/jhummath.lmmv7107","url":null,"abstract":"Synopsis We present the story of a theorem’s conception and birth. The tale begins with the circumstances in which the idea sprouted; then is the question’s origin; next comes the preliminary investigation, which led to the conjecture and the proof; finally, we state the theorem. Our discussion is accessible to anyone who knows mathematical induction. Therefore, this material can be used for instruction in a variety of courses. In particular, this story may be used in undergraduate courses as an example of how mathematicians do research. As a bonus, the proof by induction is not of the simplest kind, because it includes some preliminary work that facilitates the proof; therefore, the theorem can also serve as a nice exercise in induction. Additionally, we use well-known facts from calculus to clarify and enhance what is intrinsically a discrete problem. Making an unexpected but welcome explanatory appearance, the number e is pertinent.","PeriodicalId":42411,"journal":{"name":"Journal of Humanistic Mathematics","volume":" ","pages":""},"PeriodicalIF":0.3,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46836193","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Collapsing Spaces, Colliding Places: Leveraging Constructs from Humanistic Geography to Explore Mathematics Classes 空间坍塌，地点碰撞:利用人文地理学建构探索数学课堂
IF 0.3
Journal of Humanistic Mathematics Pub Date : 2023-01-01 DOI: 10.5642/jhummath.lmpq5945
Valentin A. B. Küchle, Shiv Karunakaran, Mariana Levin, John J. Smith III, Sarah D. Castle, Jihye Hwang, Yaomingxin Lu, R. Elmore
{"title":"Collapsing Spaces, Colliding Places: Leveraging Constructs from Humanistic Geography to Explore Mathematics Classes","authors":"Valentin A. B. Küchle, Shiv Karunakaran, Mariana Levin, John J. Smith III, Sarah D. Castle, Jihye Hwang, Yaomingxin Lu, R. Elmore","doi":"10.5642/jhummath.lmpq5945","DOIUrl":"https://doi.org/10.5642/jhummath.lmpq5945","url":null,"abstract":"Humanistic geographers distinguish between space and place: \"What begins as undifferentiated space becomes place as we get to know it better and endow it with value\" [19, page 6]. In this essay, we seek to demonstrate how mathematics education researchers and mathematics instructors may find space and place il-luminating for understanding important aspects of students' learning experiences during the coronavirus pandemic - and possibly beyond. Specifically, after in-tro ducing the terms and relating them to the context of a university mathematics class, we exemplify how home and class places collided for three undergraduate mathematics students forced to deal with the abrupt transition to online educa-tion. We conclude by discussing implications of attending to space and place for designers and researchers of (pandemic) online instruction and make connections to how the pandemic and attending to space and place can serve as a catalyst for reshaping undergraduate mathematics education.","PeriodicalId":42411,"journal":{"name":"Journal of Humanistic Mathematics","volume":"1 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70801391","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The Nothing That Really Matters 什么都不重要
IF 0.3
Journal of Humanistic Mathematics Pub Date : 2023-01-01 DOI: 10.5642/jhummath.podj4118
Szilárd Svitek
{"title":"The Nothing That Really Matters","authors":"Szilárd Svitek","doi":"10.5642/jhummath.podj4118","DOIUrl":"https://doi.org/10.5642/jhummath.podj4118","url":null,"abstract":"Synopsis Zero has (a) special role(s) in mathematics. In the current century, we take negative numbers and zero for granted, but we should also be aware that their acceptance and their emergence in mathematics, and their ubiquity today, have not come to happen as rapidly as, for example, for natural numbers. Students can quickly become confused by the question: is zero a natural number? The answer is simple: a matter of definition. The history of zero and that of negative numbers are closely linked. It was in the calculations of debts that the negative numbers first appeared, where the state of balance between positive and negative assets was also given. We now take them for granted, but the history of science shows that it was far from a smooth process, and interesting mistakes about zero still occur in education today. I present a few examples below, and how they have been resolved.","PeriodicalId":42411,"journal":{"name":"Journal of Humanistic Mathematics","volume":"116 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70801394","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Book Review: Algebra the Beautiful: An Ode to Math’s Least-Loved Subject by G. Arnell Williams 书评:《美丽的代数:对数学最不受欢迎的学科的颂歌》，作者:G.阿内尔·威廉姆斯
IF 0.3
Journal of Humanistic Mathematics Pub Date : 2023-01-01 DOI: 10.5642/jhummath.bffk4651
J. Grabiner
{"title":"Book Review: Algebra the Beautiful: An Ode to Math’s Least-Loved Subject by G. Arnell Williams","authors":"J. Grabiner","doi":"10.5642/jhummath.bffk4651","DOIUrl":"https://doi.org/10.5642/jhummath.bffk4651","url":null,"abstract":"","PeriodicalId":42411,"journal":{"name":"Journal of Humanistic Mathematics","volume":" ","pages":""},"PeriodicalIF":0.3,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47903884","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The Babelogic of Mathematics 数学的逻辑
IF 0.3
Journal of Humanistic Mathematics Pub Date : 2023-01-01 DOI: 10.5642/jhummath.bgui1643
Vijay Fafat
{"title":"The Babelogic of Mathematics","authors":"Vijay Fafat","doi":"10.5642/jhummath.bgui1643","DOIUrl":"https://doi.org/10.5642/jhummath.bgui1643","url":null,"abstract":"","PeriodicalId":42411,"journal":{"name":"Journal of Humanistic Mathematics","volume":" ","pages":""},"PeriodicalIF":0.3,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49152334","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Where Does Mathematics Come From? Really, Where? 数学从何而来？真的，在哪里？
IF 0.3
Journal of Humanistic Mathematics Pub Date : 2023-01-01 DOI: 10.5642/jhummath.xjfo9325
M. Huber, Gizem Karaali
{"title":"Where Does Mathematics Come From? Really, Where?","authors":"M. Huber, Gizem Karaali","doi":"10.5642/jhummath.xjfo9325","DOIUrl":"https://doi.org/10.5642/jhummath.xjfo9325","url":null,"abstract":"","PeriodicalId":42411,"journal":{"name":"Journal of Humanistic Mathematics","volume":" ","pages":""},"PeriodicalIF":0.3,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46312549","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Mathematics Education as Dystopia: A Future Beyond 作为反乌托邦的数学教育：超越的未来
IF 0.3
Journal of Humanistic Mathematics Pub Date : 2022-07-01 DOI: 10.5642/jhummath.sqek5024
Peter Appelbaum, C. Stathopoulou, Constantinos Xenofontos
{"title":"Mathematics Education as Dystopia: A Future Beyond","authors":"Peter Appelbaum, C. Stathopoulou, Constantinos Xenofontos","doi":"10.5642/jhummath.sqek5024","DOIUrl":"https://doi.org/10.5642/jhummath.sqek5024","url":null,"abstract":"Synopsis 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 disempower-ment 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 society. Embracing dystopia rather than trying to circumvent it generates new questions and pathways.","PeriodicalId":42411,"journal":{"name":"Journal of Humanistic Mathematics","volume":" ","pages":""},"PeriodicalIF":0.3,"publicationDate":"2022-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48384118","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
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