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Looking Back at Quantitative Reasoning 回顾定量推理
Q3 Mathematics Pub Date : 2021-03-01 DOI: 10.5038/1936-4660.14.2.1392
W. Briggs
A teacher looks back on three decades of teaching, pondering, and writing about quantitative reasoning (QR) and shares a few lessons learned. The skills that we teach in QR courses are more important than ever in providing students with a sense of civic virtue: the ability to be engaged and informed citizens in an increasingly complex and quantitative world.
一位老师回顾了三十年来关于定量推理(QR)的教学、思考和写作,并分享了一些经验教训。我们在二维码课程中教授的技能在为学生提供公民美德感方面比以往任何时候都更重要:在一个日益复杂和量化的世界中,让公民参与进来并了解情况的能力。
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引用次数: 1
COVID-19 and Quantitative Literacy: Focusing on Probability COVID-19与定量素养:关注概率
Q3 Mathematics Pub Date : 2021-01-01 DOI: 10.5038/1936-4660.14.1.1362
M. J. Lewis
The COVID-19 pandemic is arguably the worst crisis the world has faced, so far, in this new century We haven’t seen a pandemic like this since the 1918 Flu at the beginning of the last century, and, as of this writing, there appears to be no end in sight What those of us who’re focused on quantitative methods have noticed, in addition to the many people dying, becoming ill, and losing their livelihoods, is the importance of quantitative literacy to an understanding of what’s going on That’s what this article is about Specifically, it’s about how the COVID-19 pandemic is illustrating the importance of understanding different aspects of probability theory, particularly conditional probability © 2021, National Numeracy Network All rights reserved
COVID-19大流行可以说是本世纪迄今为止世界面临的最严重的危机,自上世纪初1918年流感以来,我们还没有见过像这样的大流行,而且,在撰写本文时,似乎看不到尽头。我们这些专注于定量方法的人已经注意到,除了许多人死亡、生病和失去生计之外,这就是本文的内容,具体来说,这是关于COVID-19大流行如何说明理解概率论不同方面的重要性,特别是条件概率©2021,National Numeracy Network保留所有权利
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引用次数: 2
Financial Literacy and French Behaviour on the Stock Market 金融知识和法国人在股票市场上的行为
Q3 Mathematics Pub Date : 2021-01-01 DOI: 10.5038/1936-4660.14.1.1356
Luc Arrondel
This article looks back over the different dimensions of financial literacy: theoretical, methodological, empirical and political. The theoretical foundations of the notion of financial literacy are presented with reference to recent contributions by psychological or behavioural economics: “household finance” refers to the concept of financial literacy based on the empirical dead-ends of standard saver theory. This raises the fundamental question as to how to measure and evaluate financial literacy. Here, we are especially interested in the empirical robustness of a standard measure of financial literacy based on three straightforward questions (interest calculations, notion of inflation and risk diversification). Is this measure adequate or do other definitions need to be developed? We use original data from a survey conducted in 2017 that proposes alternative measures. Our results show that the measure in most studies seems a good proxy for a more global measure based on a larger battery of similar questions. Nevertheless, the global measure improves the statistical quality of the measure even though this more sophisticated measure does not statistically significantly improve behavioural regressions.
本文回顾了金融知识的不同维度:理论、方法和实证。首先,金融素养概念的理论基础参考了心理学或行为经济学的最新贡献:“家庭金融”指的是基于标准储蓄者理论的经验死结的金融素养概念。这就提出了如何衡量和评价它的问题。基于几个简单问题(利息计算、通胀概念和风险分散)的“标准”方法是否足够,还是需要制定其他定义?正如人们常说的那样,法国人真的“不擅长金融”吗?就投资组合选择而言,他们的金融行为会受到影响吗?最后但并非最不重要的一点是,经济教育项目的效果如何?是否需要一项公共金融扫盲政策?
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引用次数: 2
Better News about Math: A Research Agenda 关于数学的好消息:一个研究议程
Q3 Mathematics Pub Date : 2021-01-01 DOI: 10.5038/1936-4660.14.1.1377
Jena Barchas-Lichtenstein, John Voiklis, Laura Santhanam, N. Akpan, Shivani Ishwar, Elizabeth Attaway, Patti Parson, John Fraser
Numeracy is not a luxury: numbers constantly factor into our daily lives Yet adults in the United States have lower numeracy than adults in most other developed nations While formal statistical training is effective, few adults receive it – and schools are a major contributor to the inequity we see among U S adults That leaves news well-poised as a source of informal learning, given that news is a domain where adults regularly encounter quantitative content Our transdisciplinary team of journalists and social scientists propose a research agenda for thinking about math and the news We engage here in a dialogue about two recent news articles, contrasting journalist and researcher perspectives on each We close by talking about the particular opportunities and challenges that the global COVID-19 pandemic has laid bare for both of our professions © 2021, National Numeracy Network All rights reserved
算术不是一种奢侈:然而,美国成年人的计算能力比大多数其他发达国家的成年人要低。虽然正式的统计培训是有效的,但很少有成年人接受过这种培训——学校是造成我们在美国成年人中看到的不平等的主要原因。鉴于新闻是成年人经常接触定量内容的领域,我们的跨学科记者和社会科学家团队提出了一个思考数学和新闻的研究议程。我们在这里就最近的两篇新闻文章进行对话,对比记者和研究人员对每篇文章的看法。最后,我们讨论了全球COVID-19大流行为我们这两个行业带来的特殊机遇和挑战©2021,国家算术网络版权所有
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引用次数: 5
National Numeracy Network Officers and Board of Directors 全国计算网络官员和董事会
Q3 Mathematics Pub Date : 2021-01-01 DOI: 10.5038/1936-4660.14.1.1389
M. Schield
National Numeracy Network Officers and Board of Directors in the year 2020.
国家计算网络官员和董事会成员。
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引用次数: 0
Probing for Bias: Comparing Populations Using Item Response Curves 探究偏差:用项目反应曲线比较人群
Q3 Mathematics Pub Date : 2021-01-01 DOI: 10.5038/1936-4660.14.1.1357
P. Walter, E. Nuhfer, Crisel Suárez
We introduce an approach for making a quantitative comparison of the item response curves (IRCs) of any two populations on a multiple-choice test instrument. In this study, we employ simulated and actual data. We apply our approach to a dataset of 12,187 participants on the 25-item Science Literacy Concept Inventory (SLCI), which includes ample demographic data of the participants. Prior comparisons of the IRCs of different populations addressed only two populations and were made by visual inspection. Our approach allows for quickly comparing the IRCs for many pairs of populations to identify those items where substantial differences exist. For each item, we compute the IRC dot product, a number between 0 and 1 for which a value of 1 occurs when the IRCs of the two populations are identical. We then determine whether the value of the IRC dot product is indicative of significant differences in populations of real students. Through this process, we can quickly discover bias across demographic groups. As a case example, we apply our metric to illuminate four SLCI items that exhibit gender bias. We further found that gender bias was present for non-science majors on those items but not for science majors.
我们介绍了一种定量比较任意两个群体在多项选择测验工具上的项目反应曲线(IRCs)的方法。在本研究中,我们采用了模拟数据和实际数据。我们将我们的方法应用于12187名参与者的25项科学素养概念量表(SLCI)数据集,其中包括参与者的大量人口统计数据。先前对不同种群的IRCs的比较只涉及两个种群,并且是通过目视检查进行的。我们的方法允许快速比较许多对人口的irc,以确定存在重大差异的项目。对于每个项目,我们计算IRC点积,这是一个介于0到1之间的数字,当两个种群的IRC相同时,其值为1。然后我们确定IRC点积的值是否表明真实学生群体的显著差异。通过这个过程,我们可以迅速发现人口群体中的偏见。作为一个案例,我们应用我们的度量来阐明四个表现出性别偏见的SLCI项目。我们进一步发现,在这些项目上,非理科生存在性别偏见,而理科生没有。
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引用次数: 2
How Social Workers Count: Numbers and Social Issues Came to Be 社会工作者如何计数:数字与社会问题的产生
Q3 Mathematics Pub Date : 2021-01-01 DOI: 10.5038/1936-4660.14.1.1376
M. Lewis
Lewis, Michael Anthony. 2019. Social Workers Count: Numbers and Social Issues (New York: Oxford University Press) 224 pp. ISBN 978-0190467135. This essay introduces Social Workers Count: Numbers and Social Issues by Michael Anthony Lewis. Inspired by the seminal work of Bennett and Briggs, Lewis shares how he came to write a math book for social workers to meet new demands as the field has developed to include more quantitative concepts. The result is a book that may be of interest to many in the quantitative reasoning movement in the social sciences and beyond.
迈克尔·安东尼·刘易斯,2019。社会工作者计数:数字和社会问题(纽约:牛津大学出版社)224页。ISBN 978-0190467135。本文介绍了迈克尔·安东尼·刘易斯的《社会工作者统计:数字与社会问题》。受到班尼特和布里格斯开创性工作的启发,刘易斯分享了他是如何为社会工作者写一本数学书的,以满足该领域发展到包括更多定量概念的新需求。结果是一本可能会引起社会科学和其他领域的定量推理运动的许多人的兴趣的书。
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引用次数: 0
Reflections on Innumeracy in the Wild 关于《荒野中的数字》的思考
Q3 Mathematics Pub Date : 2021-01-01 DOI: 10.5038/1936-4660.14.1.1379
Ellen Peters
Peters, E. (2020). Innumeracy in the Wild: Misunderstanding and Misusing Numbers. (New York, NY: Oxford University Press) 315 pp. ISBN 978-0190861094This piece briefly introduces and excerpts Innumeracy in the Wild: Misunderstanding and Misusing Numbers, written by Ellen Peters and published by Oxford University Press. Through a state-of-art review of the literature, the book explains how numeric ability supports the quality of the decisions people make and the life outcomes they experience. It presents three ways that people can be good or bad with numbers and how each of these numeric competencies matter to decision making.
Peters,E.(2020)。狂野中的数字:对数字的误解和误用。(纽约:牛津大学出版社)315页。ISBN 978-0190861094这篇文章简要介绍并摘录了艾伦·彼得斯撰写、牛津大学出版社出版的《荒野中的数字:误解和误用数字》。通过对文献的最新回顾,这本书解释了数字能力如何支持人们做出的决定的质量以及他们所经历的生活结果。它提出了人们对数字的好坏的三种方式,以及这些数字能力对决策的重要性。
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引用次数: 1
Computing for Numeracy: How Safe is Your COVID-19 Social Bubble? 计算:你的COVID-19社交泡沫有多安全?
Q3 Mathematics Pub Date : 2021-01-01 DOI: 10.5038/1936-4660.14.1.1382
Charles B. Connor
The COVID-19 pandemic has led many people to form social bubbles. These social bubbles are small groups of people who interact with one another but restrict interactions with the outside world. The assumption in forming social bubbles is that risk of infection and severe outcomes, like hospitalization, are reduced. How effective are social bubbles? A Bayesian event tree is developed to calculate the probabilities of specific outcomes, like hospitalization, using example rates of infection in the greater community and example prior functions describing the effectiveness of isolation by members of the social bubble. The probabilities are solved for two contrasting examples: members of an assisted living facility and members of a classroom, including their teacher. A web-based calculator is provided so readers can experiment with the Bayesian event tree and learn more about these probabilities by modeling their own social bubble.
新冠肺炎大流行导致许多人形成社会泡沫。这些社会泡沫是一小群人,他们相互互动,但限制了与外界的互动。形成社会泡沫的假设是,感染和住院等严重后果的风险会降低。社会泡沫的效果如何?贝叶斯事件树用于计算特定结果的概率,如住院,使用更大社区的感染率示例和描述社会泡沫成员隔离有效性的示例先验函数。两个对比的例子解决了概率:辅助生活设施的成员和教室的成员,包括他们的老师。提供了一个基于网络的计算器,读者可以使用贝叶斯事件树进行实验,并通过建模自己的社交泡沫来了解更多关于这些概率的信息。
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引用次数: 4
Course Design and Academic Outcomes in Quantitative Literacy After Eliminating Required Remediation 取消补习后的定量读写课程设计与学术成果
Q3 Mathematics Pub Date : 2021-01-01 DOI: 10.5038/1936-4660.14.1.1373
Jennifer Clinkenbeard
In Fall 2018, remedial mathematics courses were eliminated from the 23-campus California State University system under Executive Order 1110. Incoming first-year students were placed into college credit-bearing mathematics courses with options for corequisite support. This study examines the academic outcomes for students at California State University Monterey Bay in a college credit level quantitative literacy (QL) mathematics course with optional corequisite support during the 2018-2019 academic year. Taken together, the results of this study suggest that required remediation is not necessary for success in college-level QL. The corequisite support model also has potential to support more equitable outcomes for all students. However, further study is needed to identify institutional, departmental, and pedagogical best practices for effective corequisite support in QL.
2018年秋季,根据第1110号行政命令,加州州立大学系统的23个校区取消了补习数学课程。入学的一年级学生被安排参加大学学分的数学课程,并可选择获得必要的支持。本研究调查了加州州立大学蒙特利湾分校学生在2018-2019学年的大学学分水平定量素养(QL)数学课程中的学业成果,并提供了可选的必要支持。综上所述,本研究的结果表明,在大学水平的QL中,所需的补习并不是取得成功的必要条件。同样必要的支持模式也有可能为所有学生提供更公平的结果。然而,需要进一步的研究来确定机构、部门和教学的最佳实践,以有效地在QL中提供必要的支持。
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引用次数: 1
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Numeracy
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