Mathematical Problem Solving for Engineering Students

工科学生的数学问题解决

• 批准号: 0341463
• 负责人: James Richardson
• 金额: --
• 依托单位: University of Alabama Tuscaloosa
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2004
• 资助国家: 美国
• 起止时间: 2004-05-01 至 2007-04-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0341463&HistoricalAwards=false
• 关键词: Mathematical; Problem; Solving; Engineering; Students

Engineering NEC (59) In response to the national need for increased mathematics and problem solving skills among engineering students, a team of faculty members from engineering and mathematics are creating pedagogical techniques and curriculum to develop problem solving skills that targets freshman who are ready to take calculus. The project is testing these techniques in one section of our first year Foundations of Engineering course (GES 131). A goal is to promote mastery and transfer of knowledge and skills in future coursework. The emphasis of the course is to:1. Challenge students and provide them with a high level of proficiency to solve "hard" problems, in which the method and concepts for solution are not immediately known.2. Develop student's conceptual understanding of the problem solving process by learning how to describe the methods that they used to solve the problem. 3. Develop self-efficacy as students learn how to solve these "hard" problems. The course engages the students in collaborative learning exercises, which provides a primary method for students to learn and practice explanation and self-explanation techniques. Additional instructional activities include cumulative review of mathematics concepts, hands on exercises, instruction in metacognition, presentations to external visitors, and students creating their own hard problems. Student learning within this section is being compared to student performance in other sections using traditional methods. Assessment techniques include pre and post course testing of problem solving ability, pre and post course self efficacy questionnaires, reflective papers, focus groups, observation, and specific examination questions in subsequent math and physics courses. The success of this proof of concept study is expected to lead to a full development effort that would develop a textbook and an extensive list of hard problems for others to use and adapt.

工程NEC（59）响应国家对工程学生的数学和解决问题技能的需求，工程和数学的一组成员正在创建教学技术和课程，以开发针对准备好算术的新生的解决问题技能。该项目正在我们的工程课程第一年的基础（GES 131）的一部分中测试这些技术。一个目标是在未来的课程中促进知识和技能的掌握和转移。该课程的重点是：1。挑战学生并为他们提供高水平的熟练程度来解决“硬”问题，其中未知解决方案的方法和概念。2。通过学习如何描述他们用来解决问题的方法来发展学生对解决问题过程的概念理解。 3。随着学生学习如何解决这些“棘手”问题，发展自我效能。该课程使学生参与协作学习练习，这为学生提供了学习和练习解释和自我解释技巧的主要方法。其他教学活动包括对数学概念的累积审查，练习的动机，元认知的教学，向外部访客的演讲以及创造自己的棘手问题的学生。使用传统方法将本节中的学生学习与其他部分的学生表现进行了比较。 评估技术包括对解决问题能力的课程和课程测试，课程前和课程后自效能问卷，反思性论文，焦点小组，观察以及随后的数学和物理课程中的特定考试问题。 预计这项概念验证研究的成功将导致一项全面的发展工作，该工作将开发一本教科书，并为他人使用和适应的大量困难问题清单。