CAREER: Reciprocal Noticing: Latino/a Students and Teachers Constructing Common Resources in Mathematics

本项目的目标是扩展注意的理论和方法，以发展相互注意的概念，即教师和学生共同注意的过程。 研究者认为，通过相互注意，课堂可以成为更公平的数学学习的空间，特别是对语言学习者。因此，该项目的重点是发展相互注意的概念，以支持教师和拉丁美洲/学生在小学数学课堂之间更好的互动。该项目采用了变革性的教学实验方法，并由最初的教学指导，使数学教室智力吸引力的地方，拉丁美洲/学生和教师需要学会开发共同的资源教和学数学，并相互注意到作为一个过程，支持教师和学生在开发这些共同的资源教和学数学。该项目的设计中心围绕两个研究问题：教师和拉丁美洲/学生如何调整到彼此的数学思想，并明确表示他们的想法是如何重要的话语，促进数学推理的特点是相互注意的教室？当教师和拉丁美洲/a学生进行相互注意时，四个教室中出现了什么模式？交互注意的概念可以显著地促进数学教育中关于教师注意重要性的新兴研究。 此外，这种注意的修订概念可以改变数学课堂，以更好地支持英语学习者。PI将把项目的结果和视频纳入到小学教师的方法课程中。

The goal of this project is to extend the theoretical and methodological construct of noticing to develop the concept of reciprocal noticing, a process by which teacher and student noticing are shared. The researcher argues that through reciprocal noticing the classroom can become the space for more equitable mathematics learning, particularly for language learners. Thus, the focus of the project is on developing the concept of reciprocal noticing as a way to support better interactions between teachers and Latino/a students in elementary mathematics classrooms. The project uses a transformative teaching experiment methodology and is guided by the initial conjectures that to make mathematics classrooms intellectually attractive places, Latino/a students and teachers need to learn to develop common resources for teaching and learning mathematics, and that reciprocal noticing as a process supports teachers and students in developing these common resources for teaching and learning mathematics. The project design centers around two research questions:How do teachers and Latino/a students tune to each other's mathematical ideas and explicitly indicate to one another how their ideas are important for discourse that promotes mathematical reasoning in classrooms characterized by reciprocal noticing? What patterns emerge across four classrooms when teachers and Latino/a students engage in reciprocal noticing?The concept of reciprocal noticing can significantly enhance emerging research in mathematics education about the importance of teacher noticing. Further, this revised concept of noticing can transform mathematics classroom to better support English Language Learners.The PI will incorporate project findings and videos into methods courses for preservice elementary teachers.