CAREER: Designing Learning Environments to Foster Productive and Powerful Discussions among Linguistically Diverse Students in Secondary Mathematics

该项目将设计和调查中学数学课堂的学习环境，重点是满足英语学习者的需求。数学教师面临的一个持续挑战是促进不同语言群体学生的深度数学学习，同时考虑到学生的语言背景如何影响他们的课堂经验和他们发展的数学理解。为了应对这一挑战，该项目将设计和开发专门的教学材料和指导方针，用于在语言多样的教室中教授中学代数的基本主题。这些材料将结合当前关于学生数学学习的研究的见解，以及关于语言在学生数学思维和学习中的作用的研究的见解。这项工作的一个重要贡献是将数学学习研究与英语学习者的数学学习研究联系起来。除了推进理论理解外，本研究还将为教英语学习者的数学教师提供实践资源和指导。教师早期职业发展（CAREER）计划是一个国家科学基金会（NSF）范围内的活动，提供奖励，以支持初级教师谁通过杰出的研究，优秀的教育，以及在其组织的使命范围内整合教育和研究。该项目的重点是设计专门的假设学习轨迹，考虑到语言多样的学生。专业化轨迹的一个目标是在语言多样的课堂上促进关于线性和指数率的富有成效和强大的数学讨论。专门的学习轨迹将包括数学和语言发展学习目标。虽然这个项目的重点是与线性和指数函数推理相关的概念，但由此产生的框架应该为其他主题领域的专业假设学习轨迹的设计提供信息。此外，该项目将添加到外地？的理解如何语言多样化的学生发展数学理解的一个关键概念域。该项目使用基于设计的研究框架，收集基于课堂的数据，评估数据，并与教师和学生进行访谈，以设计和完善学习轨迹。与基于设计的方法相一致，项目成果将包括发展关于语言多样性学生数学学习的理论，以及为中学数学教师发展指导和资源。这项研究涉及与中学数学教师的持续合作，其影响将包括发展当地教师的能力，并在专业发展活动中宣传这项工作的成果。

The project will design and investigate learning environments in secondary mathematics classrooms focused on meeting the needs of English language learners. An ongoing challenge for mathematics teachers is promoting deep mathematics learning among linguistically diverse groups of students while taking into consideration how students' language background influences their classroom experiences and the mathematical understandings they develop. In response to this challenge, this project will design and develop specialized instructional materials and guidelines for teaching fundamental topics in secondary algebra in linguistically diverse classrooms. The materials will incorporate insights from current research on student learning in mathematics as well as insights from research on the role of language in students' mathematical thinking and learning. A significant contribution of the work will be connecting research on mathematics learning generally with research on the mathematics learning of English language learners. In addition to advancing theoretical understandings, the research will also contribute practical resources and guidance for mathematics teachers who teach English language learners. The Faculty Early Career Development (CAREER) program is a National Science Foundation (NSF)-wide activity that offers awards in support of junior faculty who exemplify the role of teacher-scholars through outstanding research, excellent education, and the integration of education and research within the context of the mission of their organizations.The project is focused on the design of specialized hypothetical learning trajectories that incorporate considerations for linguistically diverse students. One goal for the specialized trajectories is to foster productive and powerful mathematics discussions about linear and exponential rates in linguistically diverse classrooms. The specialized learning trajectories will include both mathematical and language development learning goals. While this project focuses on concepts related to reasoning with linear and exponential functions, the resulting framework should inform the design of specialized hypothetical learning trajectories in other topic areas. Additionally, the project will add to the field?s understanding of how linguistically diverse students develop mathematical understandings of a key conceptual domain. The project uses a design-based research framework gathering classroom-based data, assessment data, and interviews with teachers and students to design and refine the learning trajectories. Consistent with a design-based approach, the project results will include development of theory about linguistically diverse students' mathematics learning and development of guidance and resources for secondary mathematics teachers. This research involves sustained collaboration with secondary mathematics teachers and the impacts will include developing capacity of teachers locally, and propagating the results of this work in professional development activities.