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Collaborative Research: Preparing to Teach Mathematics with Technology - Examining Student Practice [PTMT-ESP]

协作研究：准备用技术教授数学 - 检查学生实践 [PTMT-ESP]

基本信息

批准号：
1821054
负责人：
Allison McCulloch
金额：
$ 52.1万
依托单位：
University of North Carolina at Charlotte
依托单位国家：
美国
项目类别：
Standard Grant
财政年份：
2018
资助国家：
美国
起止时间：
2018-10-01 至 2024-09-30
项目状态：
已结题

来源：
https://www.nsf.gov/awardsearch/showAward?AWD_ID=1821054&HistoricalAwards=false
关键词：
Collaborative Research Preparing Teach Mathematics

项目摘要

Preparing to Teach Mathematics with Technology - Examining Student Practice (PTMT - ESP) is an IUSE Development and Implementation project. It will address the documented need for undergraduate prospective secondary mathematics teachers (PSMTs) to possess strong technological pedagogical content knowledge needed to incorporate technology-based mathematics tasks in their future classrooms. Engaging students in meaningful mathematical tasks and capitalizing on available technological tools has been shown to improve attitudes towards mathematics and increase learning. Whether or not the use of technology will enhance students' learning depends on teachers' decisions when using technology tools to design and implement meaningful tasks. These decisions are informed by teachers' knowledge and application of mathematics, technology, and pedagogy. PTMT - ESP will develop and research a set of video case materials to support PSMTs' development of this knowledge. Furthermore, this project will grow and support a community of technology-using mathematics teacher-educators at other universities through professional learning workshops and the distribution of materials on a free web-based portal. Strong preparation of secondary mathematics teachers is needed to support future generations of students prepared to enter STEM fields. Ensuring teachers are prepared to anticipate and draw upon students' understanding in technological contexts by improving their use of technology tools in mathematics classroom will better prepare students to pursue STEM careers, in support of the national interest. PTMT-ESP is a collaborative project across four institutions that will build on the theoretical foundations of technological pedagogical content knowledge, video case pedagogies, and professional noticing, along with the success of previous PTMT projects (DUE &#8203;0442319, 0817253, 1123001)&#8203;. The PTMT-ESP project will utilize design-based research to create, refine and study video-enhanced materials for PSMTs to examine secondary students' authentic mathematical practices on technology-based algebraic tasks. Three objectives provide a framework for the project's activities. First is the design and refinement of seven curriculum modules for undergraduate mathematics education students to examine secondary students' mathematical practices when engaging with technology-based algebra tasks. Second is the execution of a research study to examine PSMTs' development related to understandings of secondary students' technology-based algebraic practices and their own algebraic knowledge. Third is the expansion of support for existing teacher educator communities through professional learning opportunities. The research that corresponds with the creation of the project's learning materials aims to advance knowledge about how examining authentic secondary students' mathematical practices on technology-based algebraic tasks can support prospective secondary mathematics teachers' development of technological pedagogical content knowledge.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.

准备用技术教数学-检查学生实践（PTMT-ESP）是一个IUSE开发和实施项目。它将解决记录需要本科准中学数学教师（PSMTs）拥有强大的技术教学内容的知识，需要将基于技术的数学任务在他们未来的课堂。让学生参与有意义的数学任务和利用现有的技术工具已被证明可以改善对数学的态度并提高学习效果。技术的使用是否会促进学生的学习取决于教师在使用技术工具设计和实施有意义的任务时的决定。这些决定是由教师的知识和应用数学，技术和教学法。PTMT - ESP将开发和研究一套视频案例材料，以支持PSMT发展这方面的知识。此外，该项目将通过专业学习讲习班和在免费的门户网站上分发材料，发展和支持其他大学的技术使用数学教师-教育工作者社区。需要中学数学教师的强大准备，以支持未来几代准备进入STEM领域的学生。确保教师做好准备，通过改善他们在数学课堂上使用技术工具来预测和借鉴学生在技术背景下的理解，将更好地为学生从事STEM职业做好准备，以支持国家利益。 PTMT-ESP是一个跨四个机构的合作项目，将建立在技术教学内容知识，视频案例分类和专业注意的理论基础上，沿着以前PTMT项目的成功（DUE #8203;0442319，0817253，1123001）#8203;。PTMT-ESP项目将利用基于设计的研究来创建、改进和研究用于PSMTs的视频增强材料，以检查中学生在基于技术的代数任务中的真实数学实践。三个目标为项目活动提供了框架。首先是设计和完善七个课程模块，供数学教育本科生使用，以考察中学生在从事基于技术的代数任务时的数学实践。第二项是进行研究，以检视小学数学教师对中学生科技代数实践的理解及他们本身的代数知识的发展。第三是通过专业学习机会扩大对现有教师教育者群体的支持。与该项目学习材料的创建相对应的研究旨在推进关于如何检查真实中学生在技术上的数学实践的知识-基于代数的任务可以支持未来的中学数学教师的技术教学内容知识的发展。这个奖项反映了NSF的法定使命，并已被认为是值得支持的，通过评估使用基金会的智力价值，更广泛的影响审查标准。

项目成果

期刊论文数量（11）

专著数量（0）

科研奖励数量（0）

会议论文数量（0）

专利数量（0）

Calculus II students’ definitions of function: Attention to correspondence.

微积分 II 学生对函数的定义：注意对应关系。

DOI：
发表时间：
2018
期刊：
Proceedings of the 40th annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education
影响因子：
0
作者：
Reed, S. D.*
通讯作者：
Reed, S. D.*

Preservice secondary teachers’ reasoning about static and dynamic representations of function

职前中学教师对函数的静态和动态表示的推理

DOI：
发表时间：
2021
期刊：
Proceedings of the forty-third annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education,
影响因子：
0
作者：
Yalman Ozen, D.;Bailey, N. G.;Fletcher, S.;Sanei, H.;McCulloch, A. W.;Lovett, J. N.;Cayton, C
通讯作者：
Cayton, C

AMTE's 2021 NTLI Fellowship: Using a framework to teach preservice mathematics teachers how to professionally notice within technology-mediated learning environments.

AMTE 的 2021 年 NTLI 奖学金：使用一个框架来教授职前数学教师如何在技术介导的学习环境中进行专业注意。

DOI：
发表时间：
2021
期刊：
Proceedings of Society for Information Technology and Teacher Education
影响因子：
0
作者：
Bailey, N. G.;Yalman Ozen, D.;McCulloch, A. W.;Dick, L.;Lovett, J. N.;Cayton, C.
通讯作者：
Cayton, C.

Calculus II Students’ Understanding of the Univalence Requirement of Function.

微积分 II 学生对函数单价要求的理解。