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Introductory College Mathematics for the Life Sciences: Has Anything Changed?
Bulletin of Mathematical Biology ( IF 3.5 ) Pub Date : 2020-07-01 , DOI: 10.1007/s11538-020-00761-8
Margaret Cozzens 1 , Fred S Roberts 1
Affiliation  

This paper focuses on issues concerning the introductory college mathematics sequence with an emphasis on students interested in the life sciences, and concentration on the time after the publication of BIO2010 (BIO2010 in Transforming Undergraduate Education for Future Research Biologists, National Academies of Science, Medicine and Engineering, Washington, 2003 ). It also explores the potential uses of books targeted at introductory mathematics courses for life science majors today. As relevant background, we look at the evolution of the way that calculus has been taught over the past 50 years, including at the high school level. We also explore the implications of changes in technology and course delivery, such as online education. As we discuss different books and introductory course ideas, we focus on the needs of biology students, the inclusion of real-world problems and models, the role of technology, and the impact of data science. The paper is organized as follows: Sect. 1 provides some personal background with calculus dating back to the 1970s, and changes in calculus prior to BIO2010 . Section 2 introduces goals for an introductory mathematics sequence and evaluates the calculus sequence in light of those goals. Sections 3 – 7 discuss various issues that will help to understand issues and challenges for introductory mathematics for the life sciences: Calculus in high school (Sect. 3 ), equity issues relative to calculus and other math topics (Sect. 4 ), the impact of online education (Sect. 5 ), math as a stumbling block for college students (Sect. 6 ), and the increasing importance and value of teaching data science (Sect. 7 ). Section 8 reviews the development of books in light of these issues and challenges. The last section (Sect. 9 ) summarizes conclusions.

中文翻译:

生命科学入门大学数学:有什么改变吗?

本文重点关注大学入门数学序列问题,重点关注对生命科学感兴趣的学生,并关注 BIO2010(BIO2010 in Transforming Undergraduate Education for Future Research Biologists, National Academy of Science, Medicine and Medicine工程,华盛顿,2003 年)。它还探讨了针对当今生命科学专业数学入门课程的书籍的潜在用途。作为相关背景,我们研究了过去 50 年来微积分教学方式的演变,包括在高中阶段。我们还探讨了技术和课程交付(例如在线教育)变化的影响。当我们讨论不同的书籍和介绍性课程的想法时,我们专注于生物学学生的需求,包括现实世界的问题和模型、技术的作用以及数据科学的影响。论文组织如下:Sect。图 1 提供了可追溯到 1970 年代的微积分的一些个人背景,以及 BIO2010 之前微积分的变化。第 2 节介绍介绍性数学序列的目标,并根据这些目标评估微积分序列。第 3 - 7 节讨论有助于理解生命科学入门数学的问题和挑战的各种问题:高中微积分(第 3 节)、与微积分和其他数学主题相关的公平问题(第 4 节)、影响在线教育(第 5 节)、数学作为大学生的绊脚石(第 6 节)以及数据科学教学的重要性和价值日益增加(第 7 节)。第 8 节根据这些问题和挑战回顾了书籍的发展。最后一节(第 9 节)总结了结论。
更新日期:2020-07-01
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