Mathematica Militaris: Volume 24

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https://hdl.handle.net/20.500.14216/757

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    A Note from the Editors
    (United States Service Academies, 2019) Florkowski, Stanley; Kuiper, Patrick; Plucker, Andrew; Steward, Michael
    Mathematica Militaris issued its first publication in 1989 and has since served as a forum for exchanging ideas, views, experiences, and faculty research concerning mathematics education at the five Federal Service Academies. We are excited to share this year’s articles that include submissions from faculty of the United States Naval Academy and the United States Military Academy.
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    Data Science at USNA
    (United States Service Academies, 2019) Traves, Will
    Data Science is an interdisciplinary field that promises to transform every aspect of our society, including business, medicine, education, and our military. The field is inspired by several other movements, such as data-driven decision making, big data, machine learning, and artificial intelligence; however, initiatives in Data Science are distinguished by seeking to make technical tools from these disciplines accessible to a broad audience. Much as the field of Cyber Science developed from computer security when society became more dependent on the internet, Data Science provides a framework for the pervasive and responsible use of data.
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    A TRIBUTE TO PROFESSOR JOSEPH F. MANOGUE
    (United States Service Academies, 2019) Costa, Gabriel B.
    On Christmas day, 2018, I lost a dear friend and long-time mentor, Professor Joseph F. Manogue. Joe – as he insisted I address him – was cared for by his loving wife, Helen, and his three sons, Joseph Mark, Stephen, and Philip. It goes without saying that he doted on, and was doted upon by, loving grandchildren. In his nearly nine decades on this earth, Joe led a full life and was truly a blessed individual.
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    Motivating Class Preparation with Oral Quizzes
    (United States Service Academies, 2019) Lynch, Scott; Morse, Steven; Steward, Michael
    In this article we compare the effectiveness of oral quizzes and online homework (WebAssign) as means of preparing for class. We find that both assessment methods motivate students to prepare for a similar amount of time, but oral quizzes cause them to spend more of their time reading the textbook than does WebAssign. We found no significant difference between the performance of students using these two methods. We conclude that while oral quizzes do not dramatically increase the quantity of preparation, they seem to improve the quality. We believe that oral quizzes are a valuable technique for instructors to add to their repertoire.
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    On The Similarity Metric
    (United States Service Academies, 2019) Alhajjar, Elie; Lefèvre, Clément
    In mathematics, and more specifically in topology, the notion of distance metric is well known since the nineteenth century. It is used to measure the "difference" between two objects. When it comes to characterizing the similarity between two objects, a similarity metric is needed. Although widely used in computer science, such a metric is not clearly defined mathematically. We fill in the existing gap in the current literature concerning similarity metrics, connecting them to the well-known notion of partial metrics in general topology.