Collaborative Research: Investigating Productive Use of High-Leverage Student Mathematical Thinking

合作研究：调查高杠杆学生数学思维的有效运用

• 批准号: 1720410
• 负责人: Blake Peterson
• 金额: $ 124.37万
• 依托单位: Brigham Young University
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 2017
• 资助国家: 美国
• 起止时间: 2017-06-01 至 2023-05-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1720410&HistoricalAwards=false
• 关键词: Collaborative; Research; Investigating; Productive; Use

The project will examine how secondary mathematics teachers respond to and use students' thinking during whole class discussion. An ongoing challenge for teachers is making the best use of students' emerging mathematical ideas during whole class discussion. Teachers need to draw on the ideas students have developed in order to create opportunities for learning about significant mathematical concepts. This study will create tasks specifically designed to generate opportunities for teachers to build on students' thinking and then use classroom observation and analysis of classroom video to develop tools to support teachers in leading whole class discussion. The Discovery Research K-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 (RMTs). 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.The project focuses on the teaching practice of building on student thinking, a practice in which teachers engage students in making sense of their peers? mathematical ideas in ways that help the whole class move forward in their mathematical understanding. This study examines how teachers incorporate this practice into mathematics discussions in secondary classrooms by designing tasks that generate opportunities for teachers to build on students' thinking and by studying teachers? orchestration of whole class discussions around student responses to these tasks. The project engages teacher-researchers in exploring the building practice. The teacher-researchers will use the project-designed tasks in their classrooms and then engage in a cycle of analysis of their own teaching with the research team. Data collection and analysis will rely on video analysis of classrooms, teachers? reflections on task enactment, and data collected during research team meetings convened with teacher-researchers to analyze practice.

该项目将研究中学数学教师在全班讨论中如何回应和运用学生的思维。教师面临的持续挑战是在全班讨论中充分利用学生新出现的数学想法。教师需要利用学生已经形成的想法，以便创造学习重要数学概念的机会。这项研究将创建专门设计的任务，为教师创造机会来培养学生的思维，然后利用课堂观察和课堂视频分析来开发工具来支持教师引导全班讨论。 Discovery Research K-12 计划 (DRK-12) 旨在通过创新资源、模型和工具的研究和开发，显着增强 PreK-12 学生和教师对科学、技术、工程和数学 (STEM) 的学习和教学（RMT）。 DRK-12 计划中的项目建立在 STEM 教育的基础研究和先前的研究和开发工作的基础上，为拟议项目提供理论和实证依据。该项目侧重于建立学生思维的教学实践，即教师与学生互动的实践理解他们的同龄人？数学思想可以帮助全班同学加深对数学的理解。这项研究探讨了教师如何通过设计任务为教师创造机会以学生的思维为基础，并通过研究教师如何将这种实践融入中学课堂的数学讨论中。围绕学生对这些任务的反应安排全班讨论。该项目让教师兼研究人员参与探索建筑实践。教师兼研究人员将在课堂上使用项目设计的任务，然后与研究团队一起对自己的教学进行循环分析。数据收集和分析就要靠课堂视频分析，老师？对任务制定的反思，以及在与教师和研究人员召开的研究团队会议上收集的数据来分析实践。

项目成果

Teachers' responses to instances of student mathematical thinking with varied potential to support student learning.

教师对学生数学思维实例的反应具有不同的潜力来支持学生的学习。

• 发表时间: 2018-10
• 期刊: Proceedings of the 40th annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education
• 作者: Stockero; S. L.
• 通讯作者: S. L.

(Counter)Productive Practices for Using Student Thinking

利用学生思维的（反）有效实践

• DOI: 10.5951/mtlt.2022.0307
• 发表时间: 2023-04
• 期刊: Mathematics Teacher: Learning and Teaching PK-12
• 作者: Van Zoest, Laura R.;Stockero, Shari L.;Peterson, Blake E.;Leatham, Keith R.
• 通讯作者: Leatham, Keith R.

Clarifiable Ambiguity in Classroom Mathematics Discourse

课堂数学话语中可澄清的歧义

• DOI: 10.1080/19477503.2019.1619148
• 发表时间: 2020-01
• 期刊: Investigations in Mathematics Learning
• 作者: Peterson, Blake E.;Leatham, Keith R.;Merrill, Lindsay M.;Van Zoest, Laura R.;Stockero, Shari L.
• 通讯作者: Stockero, Shari L.

Establishing student mathematical thinking

建立学生数学思维

• 发表时间: 2021-01
• 期刊: Proceedings of the 43rd Annual Conference of the North American Chapter of the International Group for the Psychology of Mathematics Education
• 作者: Leatham; K. R.
• 通讯作者: K. R.

Teachers’ orientations toward using student mathematical thinking as a resource during whole-class discussion

教师在全班讨论中使用学生数学思维作为资源的方向

• DOI: 10.1007/s10857-018-09421-0
• 发表时间: 2019-01
• 期刊: Journal of Mathematics Teacher Education
• 影响因子: 2.1
• 作者: Stockero, Shari L.;Leatham, Keith R.;Ochieng, Mary A.;Van Zoest, Laura R.;Peterson, Blake E.
• 通讯作者: Peterson, Blake E.