Crossing Paths: Tips for Undergraduate Research

Crossing Paths: Tips for Undergraduate Research
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交叉路径:本科生研究技巧

DOI:
10.1080/10724117.2019.1690920
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发表时间:
2020
期刊:
Math Horizons
影响因子:
--
通讯作者:
Sutton, Kelsey
Sutton, Kelsey
中科院分区:
--
文献类型:
--
作者:
Hayes, Ashley;Hoard, Emily;Lyu, Yangsai;Pack, James;Sutton, Kelsey

文献摘要

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有时,在花费数天或数周时间进行证明后,您可能会发现您的“原始”结果之前是在您尚未阅读的论文中得出的。您可能会认为您所有的工作似乎都白费了;然而,情况并非一定如此。通过研究别人的结果(不止一次),我们能够更好地理解过去的结果,否则我们可能只是从表面上理解这些结果。每一次延迟,虽然一开始都会造成短期挫折,但最终都会促使我们仔细检查已知的结果,并激励我们将项目引向新的方向。这些经历提醒我们在开始研究成果之前了解各自主题的过去工作的重要性。(是的,文献综述实际上很重要,你的导师不仅仅是想浪费你的时间。)了解过去的工作不仅帮助我们避免未来的多余工作,而且还为我们在想要朝新方向前进时绕过心理障碍提供了另一种选择。我们不应该停滞不前,而是可以回顾过去的研究,寻找开放的领域和研究方法。
Sometimes, after laboring away at a proof for days or weeks, you might discover that your “original” result had been previously developed in a paper you had not yet read. You might think all of your work has seemingly gone to waste; however, this is not necessarily the case. By working through someone else’s results (on more than one occasion), we were able to better understand past results that we may have otherwise just taken at face value. Each delay, while at first posing a short-term setback, eventually led us to close examination of known results and inspired us to take our project in a new direction. These experiences reminded us of the importance of understanding past work on our respective topics before beginning to develop results.(Yes, that literature review is actually important, and your advisor is not just trying to waste your time.)Understanding past work not only helped us avoid redundant work in the future, but also gave us another option to bypass a mental roadblock when we wanted to move in a new direction. Rather than stalling out, we could turn back to past research to find open areas and approaches for study.