CAREER: Understanding the Routinization of Mathematics Language Routines in Middle and High Schools

该奖项的全部或部分资金来自《2021年美国救援计划法案》(公法117-2)。这也是由发现研究预科-12计划(DRK-12)资助的，该计划旨在通过研究和开发创新资源、模型和工具，显著提高预科-12学生和教师的科学、技术、工程和数学(STEM)的学习和教学。解释和分析数据为学生提供了将数学和统计应用到他们自己的经验中的问题。关于数据的数学教学需要包括让学生讨论和解释他们的数学推理和解决问题的机会。尤其是对于数据科学，学生需要机会交流和讨论他们的想法。数学教学需要有能力支持多语言学生的学习体验，并学会让所有学生参与解决数学问题。数据科学为初中生和高中生提供了一种背景，让他们检查对个人有意义和相关的数据。该项目将开发和调查初中和高中的数学语言例程，重点是数据科学主题。这项研究将调查教师使用数学语言常规和专业发展模式来支持教师的学习。该项目中的教育整合计划将建立数学教师的专业知识并制作视频案例，以支持教师的专业发展。研究生和本科生研究人员还将有机会了解教育、研究和数学教学。这项研究的重点是数学教学的核心实践，这些实践经常融入到教师与学生的互动中。该项目采用工作室日的模式，让教师在地区教学专家的指导下，获得与他们的工作密切相关的专业学习体验。这项研究的中心概念是在数据科学中制定数学语言例程(MLR)。这三个研究目标是：(1)为四个垂直衔接的专业学习社区开发围绕MLR工作室日周期组织的专业学习材料；(2)执行和研究为年级垂直衔接的专业学习社区组织的专业学习材料；(3)了解和记录学生和教师关于MLR的日常课堂行为，以了解他们与MLR相关的适应性专门知识；以及(4)为在职和预备副教师制作关于MLR使用的教育视频案例材料。研究活动的重点是研究教师在使用MLRs时如何发展适应性专门知识，以便能够灵活地使用MLRs。数据收集主要集中在对专业学习社区、工作室日、课堂观察和数学学习例行公事的定性分析上。数据分析使用自适应专家框架来解释和描述教师学习和执行数学语言例程的情况。教育活动涉及使用研究材料开发的视频案例材料。该奖项反映了NSF的法定使命，并通过使用基金会的智力优势和更广泛的影响审查标准进行评估，被认为值得支持。

This award is funded in whole or in part under the American Rescue Plan Act of 2021 (Public Law 117-2). This is also funded by the Discovery Research preK-12 program (DRK-12) which 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. Interpreting and analyzing data provides students problems that apply mathematics and statistics to their own experiences. Mathematics teaching about data needs to include opportunities for students to discuss and explain their mathematical reasoning and problem solving. Particularly for data science, students need opportunities to communicate and discuss their ideas. Mathematics teaching requires the ability to support that learning experience with multilingual students and learn to engage all students in mathematical problem solving. Data science presents a context for middle and high school students to examine data that is personally meaningful and relevant. The project would develop and investigate mathematics language routines focused on data science topics in middle and high school. The study will investigate teachers’ use of mathematics language routines and a professional development model to support teachers’ learning. The educational integration plan in the project will build mathematics teacher expertise and create video cases to support teacher professional development. Graduate and undergraduate researchers will also have opportunities to learn about education research and mathematics teaching. The research focuses on core practices of mathematics teaching that are regularly incorporate in teachers’ interactions with students. The project uses a studio day model for teachers to have a professional learning experience closely connected to their work and guided by a district instructional specialist. The central concept of the study is the enactment of mathematics language routines (MLRs) in data science. The three research objectives are: (1) to develop professional learning materials organized around MLR studio day cycles for four grade-level vertically articulated professional learning communities; (2) to execute and study professional learning materials organized for grade-level vertically articulated professional learning communities; (3) to understand and document students’ and teachers’ day-to-day classroom enactments of MLRs to understand their adaptive expertise related to MLRs; and (4) to create educational video case materials for in-service and preservice teachers on the use of MLRs. The research activities focus on studying how teachers develop adaptive expertise as they use MLRs, to be able to flexibly use the MLRs. The data collection focuses primarily on qualitative analysis of the professional learning communities, studio days, classroom observations, and artifacts of the mathematics learning routines. The data analysis uses an adaptive expertise framework to interpret and describe the teachers’ learning and enactment of the mathematics language routines. The educational activities attend to video case materials developed using research materials.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.