Project Aspire: Defining and Assessing Mathematical Knowledge For Teaching Secondary Mathematics

Aspire 项目：定义和评估中学数学教学的数学知识

• 批准号: 1050595
• 负责人: Patrick Thompson
• 金额: $ 194.17万
• 依托单位: Arizona State University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2011
• 资助国家: 美国
• 起止时间: 2011-09-01 至 2015-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1050595&HistoricalAwards=false
• 关键词: Project; Aspire; Defining; Assessing; Mathematical

This project focuses on mathematical knowledge for teaching at the secondary level, building upon and extending existing work for elementary mathematics. The project is developing two related assessment instruments: one for assessing teachers' mathematical knowledge for teaching secondary mathematics (MKTsm) and one for assessing the quality of secondary mathematics instruction (IQAsm). Used simultaneously, these instruments are capable of linking secondary teachers' mathematical knowledge with their instruction. The first instrument draws from prior research on teachers' and students' understanding of key mathematical ideas. The second extends the Instructional Quality Assessment (IQA), an existing assessment that focuses on the quality of elementary and middle school mathematics, so that it has a clearer focus on secondary mathematics and on the quality of mathematical ideas that a teacher's instruction fosters. The instruments are being constructed, validated, and tested in three overlapping phases. Development of the MKTsm assessment draws on existing research on teachers' and students' understandings of foundational ideas in algebra and precalculus. The IQAsm extension draws from existing IQA validation studies, from the co-PIs' recent research on transforming secondary teachers' classroom mathematical practices, and from what is learned through the development process in designing the MKTsm instrument. The MKTsm and IQAsm instruments are being piloted in three projects of the Math and Science Partnership (MSP) program, to ensure that the instruments are broadly valuable to MSP projects and mathematics education in general. The instruments are being distributed online, and measures are being taken to ensure valid and appropriate usage by other researchers, or by administrators who might use the instruments for purposes that could include evaluation. In addition to the instruments, the project is developing training videos, scoring guidelines, and an overview for administrators, and also is creating a process by which the publisher will require certification of professional development for use of the instruments when they become commercialized.

该项目侧重于中学教学的数学知识，在现有初等数学工作的基础上进行扩展。该项目正在开发两个相关的评估工具：一个用于评估教师在中学数学教学中的数学知识(MKTsm)，另一个用于评估中学数学教学质量(IQAsm)。这些工具同时使用，能够将中学教师的数学知识与他们的教学联系起来。第一个工具来自先前关于教师和学生对关键数学思想的理解的研究。第二项扩展了教学质量评估(IQA)，这是一种现有的评估，侧重于中小学数学的质量，因此它更明确地关注中学数学和教师教学培养的数学思想的质量。这些仪器正在分三个重叠的阶段进行建造、验证和测试。MKTsm评估的开发借鉴了教师和学生对代数和微积分基础思想理解的现有研究。IQAsm扩展来自现有的IQA验证研究，来自联合PIS最近关于转变中学教师课堂数学实践的研究，以及从设计MKTsm工具的开发过程中学到的东西。MKTsm和IQAsm工具正在数学与科学伙伴关系(MSP)计划的三个项目中进行试点，以确保这些工具对MSP项目和一般数学教育具有广泛的价值。这些仪器正在网上分发，并正在采取措施，以确保其他研究人员或管理人员有效和适当地使用这些仪器，这些管理人员可能会将这些仪器用于可能包括评估在内的目的。除乐器外，该项目还在为管理人员编写培训视频、评分准则和概览，并正在创建一个程序，通过该程序，出版商将要求在乐器商业化时对其使用的专业发展进行认证。