Developing Teaching Expertise in K-5 Mathematics

密歇根大学和纽约州立大学布法罗分校的开发人员和研究人员正在参与一个项目，以设计材料和配套的支持系统，以促进小学数学教学方面的专业知识的发展。该项目有四个主要组成部分：一套在线专业发展单元；一套以实践为基础的评估；一套为主持人提供的资源；以及向不同环境提供单元内容的网络技术。计划中有三个模块：一个专注于分数，一个专注于推理和解释，由Deborah Ball、Hyman Bass和密歇根大学的开发团队设计；另一个由纽约州立大学布法罗大学的道格拉斯·克莱门茨和朱莉·萨拉马开发。每个单元分为十个1.5小时的课程。每个模块都经历了为期两年的设计和开发过程，包括初始设计、试验、修订和传播。模块在各种环境中试行，包括以大学为基础的实训教师课程和以地区为基础的在职活动。这些背景包括面对面的专业发展、实时远程学习以及两者的结合。数据收集的内容包括学员对单元的参与度、教师课堂实践和教学数学知识。单元和相关材料将广泛提供，并将免费提供给学校。这些材料可以导入到任何学习管理系统中，如Blackboard、Moodle等。

Developers and researchers at the University of Michigan and the State University of New York, Buffalo are engaged in a project to design materials and an accompanying support system to enable the development of expertise in the teaching of mathematics at the elementary level. The project has four main components: a set of online professional development modules; practice-based assessments; a set of resources for facilitators; and web-based technologies to deliver module content to diverse settings. Three modules are planned: one focused on fractions and one focused on reasoning and explanation designed by Deborah Ball, Hyman Bass and the University of Michigan development team; and one on geometry developed by Douglas Clements and Julie Sarama at the University of Buffalo, State University of New York. Each module is organized into ten 1.5 hour sessions. Each module goes through a two-year design and development process that includes initial design, piloting, revision, and dissemination. Modules are piloted in a variety of settings, including university based courses for practicing teachers and district based in-service activities. These contexts include face-to-face professional development, real-time distance learning, and combinations of the two. Data are collected on participant engagement with the modules, on teacher classroom practice, and on mathematical knowledge for teaching.The modules and associated materials will be widely available and will be free to schools. The materials can be imported into any learning management system, such as Blackboard, Moodle, and others.