Collaborative Research: Connecting Elementary Mathematics Teaching to Real-World Issues

合作研究：将基础数学教学与现实世界问题联系起来

• 批准号: 2101456
• 负责人: Mathew Felton
• 金额: $ 98.56万
• 依托单位: Ohio University
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 2021
• 资助国家: 美国
• 起止时间: 2021-07-01 至 2025-06-30
• 项目状态: 未结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=2101456&HistoricalAwards=false
• 关键词: Collaborative; Research; Connecting; Elementary; Mathematics

There are long-standing calls to make mathematics more meaningful, relevant, and applicable both inside and outside of the K-12 classroom. In particular, there is a growing recognition that mathematics is a valuable tool for helping students understand important real-world issues that affect their lives and society. Further, mathematics can support students in becoming mathematically literate and engaged democratic citizens. Despite the increased interest in connecting mathematics to real-world issues in the classroom, many teachers feel unprepared to do so. This project will engage students and teachers in rich, real-world math tasks; will support future teachers and mathematics educators in adapting, designing, and implementing similar tasks; and will provide a basis for further research on the most effective ways to design and implement real-world tasks in the mathematics classroom.The three goals of the Connecting Elementary Mathematics to the World project are: (1) To explore how mathematics teachers adapt, design, and enact tasks that connect mathematics to the real world. We will study the teaching practices of the project team as they engage in this work in two summer camps and in elementary classrooms at two sites. (2) To develop a collection of exemplar tasks and rich records of practice for each task. These records of practice will detail the mathematical and real-world learning goals, background knowledge needed for both goals, common student responses, and videos or vignettes of the task in progress. A team of six teachers at two sites will be recruited to collaborate with the team throughout the project. Teachers will provide input and feedback on the design of, appropriateness of, and relevance of the tasks and the support materials needed to implement the real-world tasks. Initial tasks will be field tested with elementary students and additional tasks will be developed for subsequent week-long summer camps and for teaching in elementary classrooms. (3) To research both the development and enactment of these tasks. We will develop a theoretical framework for creating and implementing real-world tasks that can inform future practice and research in this area. The research products of this project will result in (a) an understanding of effective teaching and design practices for connecting mathematics to real-world issues, (b) a theoretical framework of how these practices are interconnected, and (c) how these practices differ from practices when teaching typical school mathematics tasks.The Discovery Research preK-12 program (DRK-12) seeks to significantly enhance the learning and teaching of science, technology, engineering and mathematics (STEM) by preK-12 students and teachers, through research and development of innovative resources, models and tools. Projects in the DRK-12 program build on fundamental research in STEM education and prior research and development efforts that provide theoretical and empirical justification for proposed projects.This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.

长期以来，人们一直呼吁让数学在K-12课堂内外都更有意义、更相关、更适用。特别是，越来越多的人认识到数学是帮助学生理解影响他们生活和社会的重要现实问题的宝贵工具。此外，数学可以支持学生成为数学素养和参与民主公民。尽管在课堂上将数学与现实世界的问题联系起来的兴趣越来越大，但许多教师感到没有准备好这样做。该项目将使学生和教师参与到丰富的、真实世界的数学任务中;将支持未来的教师和数学教育工作者适应、设计和实施类似的任务;并将为进一步研究在数学课堂上设计和实施真实世界任务的最有效方法提供基础。（1）探索数学教师如何适应、设计和制定将数学与真实的世界联系起来的任务。我们将研究项目小组在两个夏令营和两个地点的小学教室从事这项工作时的教学实践。(2)建立一个范例任务的集合，并为每个任务建立丰富的实践记录。这些练习记录将详细说明数学和现实世界的学习目标，这两个目标所需的背景知识，常见的学生反应，以及正在进行的任务的视频或插图。将在两个地点招募一个由六名教师组成的小组，在整个项目期间与该小组合作。教师将提供输入和反馈的设计，适当的，和相关的任务和支持材料需要执行现实世界的任务。最初的任务将与小学生进行实地测试，并将为随后为期一周的夏令营和小学课堂教学制定额外的任务。(3)研究这些任务的发展和制定。我们将开发一个理论框架，用于创建和实施现实世界的任务，可以为这一领域的未来实践和研究提供信息。该项目的研究成果将导致（a）理解有效的教学和设计实践，将数学与现实世界的问题联系起来，（B）这些实践如何相互联系的理论框架，以及（c）这些实践与教学典型学校数学任务时的实践有何不同。旨在通过研究和开发创新资源，模型和工具，显着提高学前班学生和教师的科学，技术，工程和数学（STEM）的学习和教学。DRK-12项目中的项目建立在STEM教育的基础研究以及为拟议项目提供理论和经验依据的先前研究和开发工作的基础上。该奖项反映了NSF的法定使命，并通过使用基金会的知识价值和更广泛的影响审查标准进行评估，被认为值得支持。

项目成果

What is the Mathematics in Mathematics Education?

数学教育中的数学是什么？

• DOI: 10.1016/j.jmathb.2023.101033
• 发表时间: 2023
• 期刊: The Journal of Mathematical Behavior
• 作者: Thanheiser, Eva

Connecting mathematics to the real world: One group of elementary mathematics teachers’ experiences

连接数学与现实世界：一组小学数学教师的经验

• 发表时间: 2022
• 期刊: Proceedings of the forty-fourth annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education
• 作者: Han, S. B.;Thanheiser, E.;Sugimoto, A.;Robinson, M.;Koestler, C.;Felton-Koestler, M. D.;Bartels, H. E.;Thompson, J. A.;Penner, D.;& Wolfe, L. L.
• 通讯作者: & Wolfe, L. L.

Building community in a research project team through identity sharing

通过身份共享在研究项目团队中建立社区

• 发表时间: 2022
• 期刊: Proceedings of the forty-fourth annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education
• 作者: Robinson, M.;Thanheiser, E.;Sugimoto, A.;Penner, D.;Han, S. B.;Koestler, C.;Felton-Koestler, M. D.;Bartels, H. E.;Thompson, J. A.;& Wolfe, L. L.
• 通讯作者: & Wolfe, L. L.