The Elementary Mathematics Project

初等数学项目

• 批准号: 1625784
• 负责人: Suzanne Chapin
• 金额: $ 200万
• 依托单位: Trustees of Boston University
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 2016
• 资助国家: 美国
• 起止时间: 2016-09-01 至 2021-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1625784&HistoricalAwards=false
• 关键词: Elementary; Mathematics; Project

The Elementary Mathematics Project will improve the mathematics preparation of future elementary teachers through the development of curricula and corresponding educative instructor support materials. National reports and policy recommendations highlight the importance of deepening pre-service teachers' understanding of elementary content and focusing on mathematical knowledge for teaching. Studies have shown that undergraduates' achievement is higher in elementary content courses where instructors report less lecturing and more student engagement and discussions. Furthermore, there is a tremendous need for materials and guidance for STEM faculty members to help implement effective research-based instructional strategies such as inquiry, active learning and discourse. This project will use design principles focused on deepening undergraduates' mathematical knowledge for teaching to create curriculum materials that include problems focused on connecting mathematical concepts, understanding why procedures work, using mathematical structure, identifying the mathematics in elementary students' thinking, and engaging in mathematical practices. Undergraduates will engage in recurring cycles of collaborative problem solving, group discussions and presentation. The project will help transform the field by providing mathematicians and teacher educators responsible for preparing elementary teachers with web access to a wide array of lessons, instructional tools and strategies. The research outcomes will contribute to the growing body of knowledge about the mathematical preparation of future teachers.The goals of the Elementary Mathematics Project will be to: 1) develop and test nationally four instructional units on whole number concepts, whole number operations, geometry and decimals; 2) develop and test interactive, web-based PD materials for instructors focused on instructional practices; 3) increase pre-service teachers' mathematical knowledge for teaching whole number, decimal and geometry content; and 4) increase instructors' knowledge and enactment of instructional practices as a result of using the developed units and professional development supports. To address these goals, a 5-year project will be undertaken. During the project, a curriculum will be written (30 lessons, each with an educative instructor guide), piloted, revised, and field-tested with 3,000-4,000 undergraduates and over 80 instructors. Data on the effectiveness of the developed units will be collected using pre- and post-tests and student surveys, and analyzed using a range of statistical methods including hierarchical linear modeling. Professional development materials, including videos of lesson enactments, a video library searchable by mathematical topic and instructional strategy, webinars, interactive discussion boards and forums, and face-to-face workshops, will also be developed. The effectiveness of these materials and the accompanying professional development supports on instructors' knowledge and teaching practices will be investigated using surveys, interviews, and classroom observations, analyzed both quantitatively and qualitatively. Dissemination of materials will occur through faculty workshops, webinars, publication of materials, and an expanded interactive website that includes all student and instructor materials. The project's research findings will be disseminated through conference presentations and journal article submissions.

小学数学项目将通过编制课程和相应的教育教师辅助材料，提高未来小学教师的数学准备。国家报告和政策建议强调了深化职前教师对基本内容的理解和注重数学知识教学的重要性。研究表明，本科生在基础内容课程中的成绩更高，教师报告较少讲课，更多学生参与和讨论。此外，STEM教师非常需要材料和指导，以帮助实施有效的基于研究的教学策略，如探究，主动学习和话语。该项目将使用专注于深化本科生数学知识的设计原则来创建课程材料，其中包括专注于连接数学概念、理解程序为何有效、使用数学结构、识别小学生思维中的数学问题以及从事数学实践的问题。本科生将参与协作解决问题，小组讨论和演示的循环。该项目将通过为数学家和教师教育工作者提供网络访问各种课程、教学工具和策略，帮助他们为小学教师做好准备，从而改变这一领域。 研究成果将有助于未来教师的数学准备知识的增长。小学数学项目的目标是：1）在全国范围内开发和测试关于整数概念、整数运算、几何和小数的四个教学单元; 2）开发和测试交互式的、基于网络的PD材料，供侧重于教学实践的教师使用; 3）增加职前教师在教授整数、小数及几何内容方面的数学知识;及4）透过使用已发展的单位及专业发展支援，增加教师在教学实践方面的知识及经验。 为了实现这些目标，将开展一个为期5年的项目。在该项目期间，将编写一个课程（30节课，每节课都有一个教育性的教师指南），进行试点，修订和实地测试，有3000 - 4000名本科生和80多名教师。将使用前测试和后测试以及学生调查收集有关开发单元有效性的数据，并使用一系列统计方法（包括分层线性模型）进行分析。还将开发专业发展材料，包括课程制定视频、可按数学主题和教学策略搜索的视频库、网络研讨会、互动讨论板和论坛以及面对面研讨会。这些材料的有效性和伴随的专业发展支持教师的知识和教学实践将通过调查，访谈和课堂观察进行调查，定量和定性分析。材料的传播将通过教师研讨会，网络研讨会，材料的出版物，并扩大互动网站，包括所有学生和教师的材料发生。该项目的研究成果将通过会议介绍和期刊论文提交的方式传播。