Characteristics of Successful Programs in College Calculus

大学微积分成功课程的特点

• 批准号: 0910240
• 负责人: David Bressoud
• 金额: $ 199.97万
• 依托单位: Mathematical Association of America
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2009
• 资助国家: 美国
• 起止时间: 2009-08-01 至 2017-01-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0910240&HistoricalAwards=false
• 关键词: Characteristics; Successful; Programs; College; Calculus; Characteristics; Successful; Programs; College; Calculus

This study to be conducted under the auspices of the Mathematical Association of America (MAA) undertakes a national investigation of Calculus I to identify the factors that contribute to student success, to understand how these factors are leveraged within successful programs and to use the publications, committees, and public fora of the MAA to disseminate the information and help mathematics departments build on its insights.The study uses both quantitative and qualitative methods. During the study's first phase, a large-scale national survey of Calculus I instruction will be conducted through mathematics departments. The study builds on the Conference Board on the Mathematical Sciences (CBMS) studies to link the survey data with student success. Using the epidemiological model developed by Sadler and Tai, the PIs will examine factors such as instructor attributes, departmental focus, classroom variables, and out of class expectations as likely explanatory factors. A web-based student survey will also be conducted. Data will be studied through HLM analyses and institutions, course-level characteristics, and student characteristics will all be examined.Phase II of the project will develop a preliminary theoretical framework for institutional models that produce successful calculus students. This informs the selection of eight cases to be conducted in different kinds of institutions. The cases will be analyzed using the approaches of pattern matching, explanation building, and cross-case syntheses.The study is significant because the number of calculus students has been steadily decreasing in spite of the fact that more high school students are taking higher level mathematics courses. The PIs state that many students leave STEM fields as undergraduates because of poor calculus instruction. Identifying what works in college calculus instruction and why it works and widely disseminating the information will improve student success in calculus courses.

这项研究将在美国数学协会（MAA）的主持下进行，对微积分I进行了全国调查，以确定有助于学生成功的因素，以了解如何在成功的计划中利用这些因素，并使用MAA的出版物，委员会和出版物福拉（MAA）的信息，以使信息和数量的质量构成质量。 在研究的第一阶段，将通过数学部门进行大规模的微积分I指导调查。 该研究基于数学科学（CBM）研究的会议委员会，将调查数据与学生成功联系起来。 使用Sadler和Tai开发的流行病学模型，PI将研究诸如教师属性，部门重点，课堂变量以及课堂期望之类的因素，就像解释性因素一样。 还将进行基于网络的学生调查。将通过HLM分析和机构，课程级特征来研究数据，并将研究学生特征。 这会导致选择八种案件，以不同种类的机构进行。 这些案例将使用模式匹配，解释构建和跨案例合成的方法进行分析。这项研究很重要，因为尽管有更多高中生正在参加更高级别的数学课程，但微积分学生的数量一直在稳步减少。 PIS指出，由于微积分教学不佳，许多学生将STEM领域作为本科生。 确定大学微积分教学中有效的方法及其为何有效并广泛传播信息将改善学生在微积分课程方面的成功。