Integrating Sonification into Calculus Instruction

将可听化融入微积分教学

• 批准号: 0442450
• 负责人: Steven Hetzler
• 金额: $ 7.5万
• 依托单位: Salisbury University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2005
• 资助国家: 美国
• 起止时间: 2005-02-01 至 2010-01-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0442450&HistoricalAwards=false
• 关键词: Integrating; Sonification; into; Calculus; Instruction

Mathematical Sciences (21)Sonification is use of non-speech audio to convey information. One widely known and successful application of sonification is the Geiger counter, which represents the intensity of radiation by the tempo of the audible clicks. Sonification is finding new applications across several disciplines and offers another way to communicate, demonstrate, and discover mathematics. Sonifications are not limited to pitch, but include other properties of sound including volume, timbre, and tempo.The primary goal of this proof-of-concept project is to integrate sonification into a one-semester calculus class. It builds on calculus reform efforts that emphasize multiple representations of mathematics including numerical, graphical, analytical, and oral or written representations. Thus the Rule of Four is being expanded to the Rule of Five. Secondary goals of the project include teaching students how to interpret sonifications, identifying design principles for mathematical sonifications, and engaging mathematics, mathematics education, and computer science students in undergraduate research in sonification.Intellectual Merit: Sonification offers an important new method for engaging students who grew up in a multimedia environment. Many students have difficulty completing calculus successfully, and using sonification with the Rule of Four enhances conceptual understanding. The project is developing resources for use in teaching interpretation of sonifications in a laboratory setting and then testing them in classrooms.Broader Impacts: This project is exposing the mathematics community to the use of sonifications in the teaching of calculus. Because properties of functions are central to mathematics, the instructional materials are useful across the mathematics curriculum (e.g., precalculus, algebra, statistics, mathematics for liberal arts majors, and mathematics for preservice teachers.) The project also offers mathematics and computer science majors accessible problems for undergraduate research, and provides students who cannot use graphics because they are not visual learners or are visually impaired a new channel for mathematics communications and discovery. The manuals and accompanying sound files and software are available on the Web and CD.

数学科学（21）发声是使用非语音音频来传达信息。一个广为人知的和成功的应用声波是盖革计数器，它代表了辐射的强度的克里思，可听到的点击。Sonification正在多个学科中寻找新的应用，并提供了另一种交流，演示和发现数学的方式。发音不限于音高，还包括声音的其他属性，包括音量，音色和克里思。这个概念验证项目的主要目标是将发音整合到一个学期的微积分课程中。它建立在微积分改革的努力，强调数学的多种表示，包括数字，图形，分析，口头或书面表示。因此，四的规则被扩展到五的规则。该项目的次要目标包括教学生如何解释sonifications，确定数学sonifications的设计原则，并从事数学，数学教育和计算机科学的学生在sonification.Intellectual Merit本科研究：Sonification提供了一个重要的新方法，从事学生谁在多媒体环境中长大。许多学生很难成功地完成微积分，使用发音与四规则增强了概念理解。该项目正在开发用于在实验室环境中教授发音解释的资源，然后在教室中进行测试。更广泛的影响：该项目使数学界了解在微积分教学中使用发音。因为函数的性质是数学的核心，所以教学材料在整个数学课程中都很有用（例如，文科专业的微积分、代数、统计学、数学，以及副教师的数学。）该项目还为本科生研究提供数学和计算机科学专业的无障碍问题，并为那些因为不是视觉学习者或视力受损而无法使用图形的学生提供数学交流和发现的新渠道。手册和附带的声音文件和软件可在网络和CD上获得。