Applied Research -- A Study of Teacher Education: Research on Instructional Design (Project ASTEROID)

尽管最近案例教学和其他基于实践的教师教育形式很受欢迎，但我们对这种教学是如何实施的以及教师实际上从使用这种方法的课程中学到了什么知之甚少。小行星计划的目标是提供经验证据，证明教师通过参加以实践为基础的教师教育课程学到什么。在这方面将收集三种主要数据：(a)教师数学知识、教育学知识和学生学习知识的前后测量；(b)持续测量教师在课程中发展的理解；(c)关注教师课堂实践的观察性数据。我们计划将教师所学到的知识映射到各种课程体验中，以及这些学习如何转化为实际的课堂教学。这些课程将集中在中学数学课程中一直困扰教师的两个领域：比例推理和作为模式和函数研究的代数。在课程中，日常教学工作是持续调查和深思熟虑的对象。通过对真实实践记录的检查——从创新课程中选出的数学任务、学生对数学任务的反应以及课堂教学的片段——教师培养了对数学、数学教学法和作为数学学习者的学生的理解。我们开发了研究课程实施和影响的程序，我们将系统地记录我们发现有效的过程和工具。这些资料将提供给外地，用于其他教师教育和专业发展工作的文件编制和评价。

Despite the recent popularity of case-based instruction and other practice-based forms of teacher education, we know little about how such instruction is enacted and what teachers actually learn from participating in courses that utilize such an approach. The goal of Project ASTEROID is to produce empirical evidence of what teachers learn as a result of participating in practice-based teacher education courses. Three primary kinds of data will be collected in this regard: (a) pre- and post-measures of teacher knowledge of mathematics, of pedagogy, and of student learning; (b) continuous measures of teachers' developing understanding during the courses; and (c) observational data that focus on teachers' classroom practices. We plan to map what teachers learn on to various course experiences and how that learning does or does not transfer to actual classroom teaching.The courses will focus on two areas of the middle school mathematics curriculum that have been problematic for teachers: proportional reasoning and algebra as the study of patterns and functions. In the courses, the everyday work of teaching is the object of on-going investigation and thoughtful inquiry. Through the examination of records of authentic practice -- mathematics tasks selected from innovative curricula, student responses to mathematical tasks, and episodes of classroom instruction -- teachers develop an understanding of mathematics, of mathematics pedagogy, and of students as learners of mathematics As we develop procedures for studying the implementation and impact of the courses, we will systematically document the processes and instruments that we find effective. These will be made available to the field for use in the documentation and evaluation of other teacher education and professional development efforts.