{"title":"Acknowledgments","authors":"","doi":"10.1515/9780691188720-022","DOIUrl":"https://doi.org/10.1515/9780691188720-022","url":null,"abstract":"","PeriodicalId":411029,"journal":{"name":"The Best Writing on Mathematics 2018","volume":"25 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128925111","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}
{"title":"Contributors","authors":"","doi":"10.1515/9780691188720-020","DOIUrl":"https://doi.org/10.1515/9780691188720-020","url":null,"abstract":"","PeriodicalId":411029,"journal":{"name":"The Best Writing on Mathematics 2018","volume":"29 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122141989","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}
{"title":"Frontmatter","authors":"","doi":"10.1515/9780691188720-fm","DOIUrl":"https://doi.org/10.1515/9780691188720-fm","url":null,"abstract":"","PeriodicalId":411029,"journal":{"name":"The Best Writing on Mathematics 2018","volume":"69 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134376491","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}
{"title":"Acknowledgments","authors":"","doi":"10.2307/j.ctvc775mh.25","DOIUrl":"https://doi.org/10.2307/j.ctvc775mh.25","url":null,"abstract":"","PeriodicalId":411029,"journal":{"name":"The Best Writing on Mathematics 2018","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-12-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130339131","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}
{"title":"The Writing Mathematician","authors":"Caroline Yoon","doi":"10.2307/j.ctvc775mh.22","DOIUrl":"https://doi.org/10.2307/j.ctvc775mh.22","url":null,"abstract":"I feel for my students when I hand them their first essay assignment. Many are mathematicians—students and teachers—who chose to study mathematics partly to avoid writing. But in my mathematics education courses, and in the discipline more generally, academic writing is part of our routine practice. Mathematicians face some challenging stereotypes when it comes to writing. As the Meyer quote suggests, writing is often seen as ephemeral, subjective and context-dependent, whereas mathematics is seen as enduring, universal, and context-free. Writing reflects self, mathematics transcends it: they are essentially unlike each other. This false dichotomy of writing versus mathematics can discourage mathematicians from writing, especially when combined with similarly coarse dichotomies such as right brain | left brain, creativity | logic, and art | science. Taken together, these dichotomies suggest that writing is outside the natural skillset of the mathematician, and that one’s mathematics training not only neglects one’s development as a writer, but also actively prevents it. Where does this writing | mathematics dichotomy come from? It is profoundly unhelpful for our discipline of mathematics education: it assumes a gatekeeping role, turning away potential newcomers who might otherwise have a lot to offer. This essay deconstructs the writing | mathematics dichotomy by identifying similarities between the practices of academic writing and mathematics. I offer three writingmathematics metaphors based on these similarities: writing as modelling, writing as problem-solving, and writing as proving (see Table 1). I propose that these metaphors might encourage students who identify more as mathematicians than writers to recognise and replace unproductive writing beliefs and practices with more productive ones that are grounded in familiar mathematical experiences. I wish to delimit my intentions around this offering. I am not suggesting that mathematicians who read this essay will automatically become highly competent writers, simply by acknowledging similarities between writing and mathematics. Nor am I suggesting that one’s skill in mathematical modelling, problem-solving and proving transfer effortlessly to the domain of writing. My goals are more modest and realistic. I want my students to work on their writing, just as they have worked on their mathematics. The three metaphors are offered as encouragement to begin this process, rather than being intended as a remedy or solution. I propose that mathematicians do not have to see themselves as starting from nothing when they engage in academic writing. Rather, they can view their writing development as building on competencies they have already honed in their mathematical training, but which they may not have formerly recognised as writerly.","PeriodicalId":411029,"journal":{"name":"The Best Writing on Mathematics 2018","volume":"8 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-12-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126269851","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}
{"title":"Contributors","authors":"","doi":"10.2307/j.ctvc775mh.23","DOIUrl":"https://doi.org/10.2307/j.ctvc775mh.23","url":null,"abstract":"","PeriodicalId":411029,"journal":{"name":"The Best Writing on Mathematics 2018","volume":"24 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-12-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122560400","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}
{"title":"Written in Stone: The World’s First Trigonometry Revealed in an Ancient Babylonian Tablet","authors":"Daniel F. Mansfield, N. Wildberger","doi":"10.1515/9780691188720-016","DOIUrl":"https://doi.org/10.1515/9780691188720-016","url":null,"abstract":"","PeriodicalId":411029,"journal":{"name":"The Best Writing on Mathematics 2018","volume":"102 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-12-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124358166","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}
{"title":"Learning and Teaching Interdisciplinary Modeling","authors":"Chris Arney","doi":"10.1515/9780691188720-013","DOIUrl":"https://doi.org/10.1515/9780691188720-013","url":null,"abstract":"","PeriodicalId":411029,"journal":{"name":"The Best Writing on Mathematics 2018","volume":"15 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-12-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123779582","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}
{"title":"Illustrations","authors":"","doi":"10.2307/j.ctvc775mh.21","DOIUrl":"https://doi.org/10.2307/j.ctvc775mh.21","url":null,"abstract":"","PeriodicalId":411029,"journal":{"name":"The Best Writing on Mathematics 2018","volume":"48 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-12-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130194788","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}
{"title":"Quantum Questions Inspire New Math","authors":"R. Dijkgraaf","doi":"10.1515/9780691188720-007","DOIUrl":"https://doi.org/10.1515/9780691188720-007","url":null,"abstract":"","PeriodicalId":411029,"journal":{"name":"The Best Writing on Mathematics 2018","volume":"28 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-12-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132674428","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}
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