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Journal of Humanistic Mathematics最新文献

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Our Histories, Our Values, Our Mathematics 我们的历史、我们的价值观、我们的数学
IF 0.3
Journal of Humanistic Mathematics Pub Date : 2024-01-01 DOI: 10.5642/jhummath.iryu2333
Mark Huber, Gizem Karaali
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引用次数: 0
Logical or Epistemological? A Study on Kepler’s 3M Cosmological Model 逻辑学还是认识论？开普勒 3M 宇宙模型研究
IF 0.3
Journal of Humanistic Mathematics Pub Date : 2024-01-01 DOI: 10.5642/jhummath.gnyu9082
Po-Hung Liu
{"title":"Logical or Epistemological? A Study on Kepler’s 3M Cosmological Model","authors":"Po-Hung Liu","doi":"10.5642/jhummath.gnyu9082","DOIUrl":"https://doi.org/10.5642/jhummath.gnyu9082","url":null,"abstract":"","PeriodicalId":42411,"journal":{"name":"Journal of Humanistic Mathematics","volume":null,"pages":null},"PeriodicalIF":0.3,"publicationDate":"2024-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140523423","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 Frankensteinian Nature of Mathematics 数学的科学怪人本质
IF 0.3
Journal of Humanistic Mathematics Pub Date : 2024-01-01 DOI: 10.5642/jhummath.jmow1622
Ali Barahmand
{"title":"The Frankensteinian Nature of Mathematics","authors":"Ali Barahmand","doi":"10.5642/jhummath.jmow1622","DOIUrl":"https://doi.org/10.5642/jhummath.jmow1622","url":null,"abstract":"Frankenstein is a story about a scientist who creates a sapient creature that gets out of control and horrifies its creator by its unexpected behavior. In this note, we show that this type of undesirable behavior can reflect a part of the nature of mathematics, and that its origin is related to the ontological question of whether mathematics is invented or discovered. Based on a review of the relationship be-tween discovery and invention, we demonstrate that mathematics has similarities and differences with both discovery and invention. In the natural sciences, new instruments have to be invented to discover new goals. We want to stress that the same relation holds in mathematics. The special point about mathematics is that both the instruments and the goals are mathematics. The first mathematics, usually including definitions and notations, is invented by mathematicians; the second, including lemmas, theorems and results, is accordingly discovered. The point we want to make about the chain of concepts invented and discovered in mathematics is that some of the new beings (created or discovered) can get out of the control of mathematicians, and that this reveals an important aspect of the nature of mathematical science, which we call the Frankensteinian nature of mathematics.","PeriodicalId":42411,"journal":{"name":"Journal of Humanistic Mathematics","volume":null,"pages":null},"PeriodicalIF":0.3,"publicationDate":"2024-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140525366","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
Benefits of Risk-Taking in Teaching Mathematics 数学教学中冒险的好处
IF 0.3
Journal of Humanistic Mathematics Pub Date : 2024-01-01 DOI: 10.5642/jhummath.ttyd9345
Mehmet Kirmizi, Abigail Quansah, Zafer Buber
{"title":"Benefits of Risk-Taking in Teaching Mathematics","authors":"Mehmet Kirmizi, Abigail Quansah, Zafer Buber","doi":"10.5642/jhummath.ttyd9345","DOIUrl":"https://doi.org/10.5642/jhummath.ttyd9345","url":null,"abstract":"","PeriodicalId":42411,"journal":{"name":"Journal of Humanistic Mathematics","volume":null,"pages":null},"PeriodicalIF":0.3,"publicationDate":"2024-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140525844","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
Seating Groups and 'What a Coincidence!': Mathematics in the Making and How It Gets Presented 座位群和 "真巧！"：数学的形成及其呈现方式
IF 0.3
Journal of Humanistic Mathematics Pub Date : 2024-01-01 DOI: 10.5642/jhummath.bdzk3303
Peter Rowlett
{"title":"Seating Groups and 'What a Coincidence!': Mathematics in the Making and How It Gets Presented","authors":"Peter Rowlett","doi":"10.5642/jhummath.bdzk3303","DOIUrl":"https://doi.org/10.5642/jhummath.bdzk3303","url":null,"abstract":"","PeriodicalId":42411,"journal":{"name":"Journal of Humanistic Mathematics","volume":null,"pages":null},"PeriodicalIF":0.3,"publicationDate":"2024-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140520018","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
Finding Your Mathematical Roots: Inclusion and Identity Development in Mathematics 寻找你的数学之根：数学中的包容与身份发展
IF 0.3
Journal of Humanistic Mathematics Pub Date : 2024-01-01 DOI: 10.5642/jhummath.xhjk2145
Linda McGuire
{"title":"Finding Your Mathematical Roots: Inclusion and Identity Development in Mathematics","authors":"Linda McGuire","doi":"10.5642/jhummath.xhjk2145","DOIUrl":"https://doi.org/10.5642/jhummath.xhjk2145","url":null,"abstract":"","PeriodicalId":42411,"journal":{"name":"Journal of Humanistic Mathematics","volume":null,"pages":null},"PeriodicalIF":0.3,"publicationDate":"2024-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140515707","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
Polygon Quadrature and Dodecagonal Tessellation with Pattern Blocks 利用图案块进行多边形四等分和十二边形细分
IF 0.3
Journal of Humanistic Mathematics Pub Date : 2024-01-01 DOI: 10.5642/jhummath.hcmv2349
Günhan Caglayan, Ben Kamau
{"title":"Polygon Quadrature and Dodecagonal Tessellation with Pattern Blocks","authors":"Günhan Caglayan, Ben Kamau","doi":"10.5642/jhummath.hcmv2349","DOIUrl":"https://doi.org/10.5642/jhummath.hcmv2349","url":null,"abstract":"The age-old challenge of polygon quadrature involves converting a polygon into a square of equal area. In this educational resource, we utilize pattern blocks, commonly employed instructional aids in K-12 education across the United States, to visually demonstrate the transformation of different equilateral and regular pattern block polygons into squares. This is achieved through the application of the area conservation principle and geometric congruence/similarity reasoning.","PeriodicalId":42411,"journal":{"name":"Journal of Humanistic Mathematics","volume":null,"pages":null},"PeriodicalIF":0.3,"publicationDate":"2024-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140526975","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
Persistence: A Romance in Many Dimensions 坚持不懈：多维度的浪漫
IF 0.3
Journal of Humanistic Mathematics Pub Date : 2024-01-01 DOI: 10.5642/jhummath.stgc9973
Tony Bedenikovic
{"title":"Persistence: A Romance in Many Dimensions","authors":"Tony Bedenikovic","doi":"10.5642/jhummath.stgc9973","DOIUrl":"https://doi.org/10.5642/jhummath.stgc9973","url":null,"abstract":"","PeriodicalId":42411,"journal":{"name":"Journal of Humanistic Mathematics","volume":null,"pages":null},"PeriodicalIF":0.3,"publicationDate":"2024-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140519138","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
Pied Beauty 魔笛手
IF 0.3
Journal of Humanistic Mathematics Pub Date : 2024-01-01 DOI: 10.5642/jhummath.wntt3159
Pamela Vale
{"title":"Pied Beauty","authors":"Pamela Vale","doi":"10.5642/jhummath.wntt3159","DOIUrl":"https://doi.org/10.5642/jhummath.wntt3159","url":null,"abstract":"","PeriodicalId":42411,"journal":{"name":"Journal of Humanistic Mathematics","volume":null,"pages":null},"PeriodicalIF":0.3,"publicationDate":"2024-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140522621","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
Mathematical Relationships 数学关系
IF 0.3
Journal of Humanistic Mathematics Pub Date : 2024-01-01 DOI: 10.5642/jhummath.pnnw2891
David Sheskin
{"title":"Mathematical Relationships","authors":"David Sheskin","doi":"10.5642/jhummath.pnnw2891","DOIUrl":"https://doi.org/10.5642/jhummath.pnnw2891","url":null,"abstract":"","PeriodicalId":42411,"journal":{"name":"Journal of Humanistic Mathematics","volume":null,"pages":null},"PeriodicalIF":0.3,"publicationDate":"2024-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140523847","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
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