CAREER: An Interdisciplinary Study of Learning: Student Understanding of Linear Algebra in Physics
职业:学习的跨学科研究:学生对物理线性代数的理解
基本信息
- 批准号:1452889
- 负责人:
- 金额:$ 77.97万
- 依托单位:
- 依托单位国家:美国
- 项目类别:Continuing Grant
- 财政年份:2015
- 资助国家:美国
- 起止时间:2015-08-01 至 2022-07-31
- 项目状态:已结题
- 来源:
- 关键词:
项目摘要
Title:CAREER: An Interdisciplinary Study Of Learning: Student Understanding Of Linear Algebra In PhysicsConsistent with the national charge for the advancement of Science, Technology, Engineering, and Mathematics (STEM) disciplines, the National Research Council's (NRC's) report (2012) "Discipline-Based Education Research: Understanding and Improving Learning in Undergraduate Science and Engineering" describes a need for interdisciplinary studies regarding learning and the transfer of knowledge for students in upper division STEM courses. This project will contribute towards this national need for basic research by investigating students' learning and understanding of key topics and ideas from linear algebra - a fundamental mathematics topic for STEM majors in multiple disciplines - as applied to undergraduate upper-division physics. In connection with this, the project will provide new insights in improving undergraduate education within the STEM disciplines. The results of this study will not only extend the research base of what is known about student understanding of mathematics and physics across disciplines, but it will also contribute to pedagogical implications at the undergraduate level by leveraging the synergy between mathematics and physics education research on teaching and learning. The project will also contribute to the development of innovative assessment instruments for undergraduate mathematics learning. The project will integrate research and education to investigate eigentheory and related key ideas from linear algebra within the framework of quantum physics. The research focal points will be to: (1) characterize the various ways in which students reason about and symbolize concepts related to eigentheory in quantum physics; (2) determine how students' language and symbols for concepts related to eigentheory compare and contrast across mathematics contexts and quantum physics contexts; and (3) explore how instructors' use of language and mathematical symbols relates to students' understanding, symbolization, and interpretation of eigentheory in quantum physics. To help foster and diversify the research investigations, data will be collected from the quantum physics courses at three academic institutions: Virginia Polytechnic Institute and State University; Oregon State University; and the University of Maine. The project will also produce and vet a conceptually oriented multiple-choice extension (MCE) assessment instrument for eigentheory. Included in the research to address items (1)-(3) listed above will be textbook analysis, the MCE eigentheory instrument creation and implementation, interview protocol development and implementation, classroom observations and interviews with participating instructors, and bridging sequences development. To enhance and expand the overall infrastructure and collaborations for research and education across disciplines, this instrument together with research results from the investigations will be disseminated widely through research and practitioner publications, presentations, and workshops in mathematics and physics education.
职位:职业:学习的跨学科研究:学生对物理学中线性代数的理解与国家负责科学,技术,工程和数学(STEM)学科的进步相一致,国家研究理事会(NRC)的报告(2012)“基于计算机的教育研究:理解和改进本科理工科学习”描述了需要跨学科的学习和知识转移的学生在上师STEM课程的研究。 该项目将通过调查学生对线性代数关键主题和思想的学习和理解来促进国家对基础研究的需求-线性代数是多学科STEM专业的基础数学主题-适用于本科高年级物理学。与此相关,该项目将为改善STEM学科的本科教育提供新的见解。本研究的结果不仅将扩展什么是已知的学生理解的数学和物理跨学科的研究基础,但它也将有助于在本科层次的教学影响,利用数学和物理教育研究之间的协同作用的教学和学习。该项目还将有助于为本科生数学学习开发创新的评估工具。 该项目将整合研究和教育,在量子物理的框架内研究本征理论和线性代数的相关关键思想。研究的重点是:(1)描述学生在量子物理中推理和符号化与本征理论相关的概念的各种方式;(2)确定学生在数学背景和量子物理背景下如何比较和对比与本征理论相关的概念的语言和符号;以及(3)探讨教师使用语言和数学符号与学生对量子物理本征理论的理解、符号化和解释的关系。为了帮助促进研究调查并使其多样化,将从三个学术机构的量子物理课程中收集数据:弗吉尼亚理工学院和州立大学;俄勒冈州州立大学;和缅因州大学。该项目还将产生和审查一个概念导向的多项选择扩展(MCE)的本征理论评估工具。解决上述项目(1)-(3)的研究包括教科书分析、MCE特征理论工具的创建和实施、访谈协议的制定和实施、课堂观察和与参与教师的访谈以及桥接序列的开发。为了加强和扩大跨学科研究和教育的整体基础设施和合作,该工具以及调查的研究结果将通过研究和实践出版物,演示文稿和数学和物理教育研讨会广泛传播。
项目成果
期刊论文数量(6)
专著数量(0)
科研奖励数量(0)
会议论文数量(0)
专利数量(0)
Characterizations of student, instructor, and textbook discourse related to basis and change of basis in quantum mechanics
与量子力学基础和基础变化相关的学生、教师和教科书话语的特征
- DOI:10.1103/physrevphyseducres.17.010140
- 发表时间:2021
- 期刊:
- 影响因子:3.1
- 作者:Serbin, Kaitlyn Stephens;Wawro, Megan;Storms, Rebecah
- 通讯作者:Storms, Rebecah
Characterizing quantum physics students’ conceptual and procedural knowledge of the characteristic equation
表征量子物理学生的特征方程的概念和程序知识
- DOI:10.1016/j.jmathb.2020.100777
- 发表时间:2020
- 期刊:
- 影响因子:0
- 作者:Serbin, Kaitlyn Stephens;Sánchez Robayo, Brigitte Johana;Truman, Julia Victoria;Watson, Kevin Lee;Wawro, Megan
- 通讯作者:Wawro, Megan
Student understanding of linear combinations of eigenvectors
学生对特征向量线性组合的理解
- DOI:10.1007/s11858-018-01022-8
- 发表时间:2019
- 期刊:
- 影响因子:0
- 作者:Wawro, Megan;Watson, Kevin;Zandieh, Michelle
- 通讯作者:Zandieh, Michelle
Students’ metarepresentational competence with matrix notation and Dirac notation in quantum mechanics
学生在量子力学中使用矩阵表示法和狄拉克表示法的元表示能力
- DOI:10.1103/physrevphyseducres.16.020112
- 发表时间:2020
- 期刊:
- 影响因子:3.1
- 作者:Wawro, Megan;Watson, Kevin;Christensen, Warren
- 通讯作者:Christensen, Warren
The Inextricability of Students’ Mathematical and Physical Reasoning in Quantum Mechanics Problems
学生无法解脱的量子力学问题中的数学和物理推理
- DOI:10.1007/s40753-022-00174-z
- 发表时间:2022
- 期刊:
- 影响因子:1.5
- 作者:Serbin, Kaitlyn Stephens;Wawro, Megan
- 通讯作者:Wawro, Megan
{{
item.title }}
{{ item.translation_title }}
- DOI:
{{ item.doi }} - 发表时间:
{{ item.publish_year }} - 期刊:
- 影响因子:{{ item.factor }}
- 作者:
{{ item.authors }} - 通讯作者:
{{ item.author }}
数据更新时间:{{ journalArticles.updateTime }}
{{ item.title }}
- 作者:
{{ item.author }}
数据更新时间:{{ monograph.updateTime }}
{{ item.title }}
- 作者:
{{ item.author }}
数据更新时间:{{ sciAawards.updateTime }}
{{ item.title }}
- 作者:
{{ item.author }}
数据更新时间:{{ conferencePapers.updateTime }}
{{ item.title }}
- 作者:
{{ item.author }}
数据更新时间:{{ patent.updateTime }}
Megan Wawro其他文献
“What makes it eigen-esque-ish?”: A form-function analysis of the development of eigentheory concepts in a quantum mechanics course
- DOI:
10.1007/s10649-025-10390-4 - 发表时间:
2025-03-20 - 期刊:
- 影响因子:1.900
- 作者:
Megan Wawro;Kaitlyn Stephens Serbin - 通讯作者:
Kaitlyn Stephens Serbin
Subspace in linear algebra: investigating students’ concept images and interactions with the formal definition
- DOI:
10.1007/s10649-011-9307-4 - 发表时间:
2011-02-12 - 期刊:
- 影响因子:1.900
- 作者:
Megan Wawro;George F. Sweeney;Jeffrey M. Rabin - 通讯作者:
Jeffrey M. Rabin
Megan Wawro的其他文献
{{
item.title }}
{{ item.translation_title }}
- DOI:
{{ item.doi }} - 发表时间:
{{ item.publish_year }} - 期刊:
- 影响因子:{{ item.factor }}
- 作者:
{{ item.authors }} - 通讯作者:
{{ item.author }}
{{ truncateString('Megan Wawro', 18)}}的其他基金
Collaborative Research: Extending Inquiry-Oriented Linear Algebra
合作研究:扩展探究导向的线性代数
- 批准号:
1915156 - 财政年份:2019
- 资助金额:
$ 77.97万 - 项目类别:
Standard Grant
MPWR 2016 and beyond: Fostering sustainable networks for women in RUME
MPWR 2016 及以后:在 RUME 中为女性培育可持续网络
- 批准号:
1938495 - 财政年份:2019
- 资助金额:
$ 77.97万 - 项目类别:
Standard Grant
MPWR 2016 and beyond: Fostering sustainable networks for women in RUME
MPWR 2016 及以后:在 RUME 中为女性培育可持续网络
- 批准号:
1823571 - 财政年份:2017
- 资助金额:
$ 77.97万 - 项目类别:
Standard Grant
Collaborative Research: Developing Inquiry Oriented Instructional Materials for Linear Algebra
合作研究:开发面向探究的线性代数教学材料
- 批准号:
1245673 - 财政年份:2013
- 资助金额:
$ 77.97万 - 项目类别:
Standard Grant
MPWR: Mentoring and Partnerships for Women in RUME
MPWR:RUME 中女性的指导和伙伴关系
- 批准号:
1352990 - 财政年份:2013
- 资助金额:
$ 77.97万 - 项目类别:
Standard Grant
相似海外基金
REU Site: Interdisciplinary Study of the Politics of Place
REU 网站:地方政治的跨学科研究
- 批准号:
2243249 - 财政年份:2023
- 资助金额:
$ 77.97万 - 项目类别:
Standard Grant
An interdisciplinary study for the principles of creating an information ecosystem resilient to fake news
创建抵御假新闻的信息生态系统原则的跨学科研究
- 批准号:
23H00504 - 财政年份:2023
- 资助金额:
$ 77.97万 - 项目类别:
Grant-in-Aid for Scientific Research (A)
Interdisciplinary study on expression of visual texture of light in cultural properties and its reproduction technology
文物光视觉质感表达及其再现技术的跨学科研究
- 批准号:
23KK0185 - 财政年份:2023
- 资助金额:
$ 77.97万 - 项目类别:
Fund for the Promotion of Joint International Research (International Collaborative Research)
Appealing to the Past in Uncertain Times: an interdisciplinary study of the reuse and evocation of prehistoric standing stones in the monumental epig
在不确定的时代诉诸过去:对纪念性史诗中史前立石的再利用和唤起的跨学科研究
- 批准号:
2890105 - 财政年份:2023
- 资助金额:
$ 77.97万 - 项目类别:
Studentship
1st year MSc (Interdisciplinary Biomedical Research). The student will be assigned to a PhD project prior to the 2nd year of study.
第一年理学硕士(跨学科生物医学研究)。
- 批准号:
2881457 - 财政年份:2023
- 资助金额:
$ 77.97万 - 项目类别:
Studentship
1st year MSc (Interdisciplinary Biomedical Research). The student will be assigned to a PhD project prior to the 2nd year of study.
第一年理学硕士(跨学科生物医学研究)。
- 批准号:
2881508 - 财政年份:2023
- 资助金额:
$ 77.97万 - 项目类别:
Studentship
1st year MSc (Interdisciplinary Biomedical Research). The student will be assigned to a PhD project prior to the 2nd year of study.
第一年理学硕士(跨学科生物医学研究)。
- 批准号:
2883713 - 财政年份:2023
- 资助金额:
$ 77.97万 - 项目类别:
Studentship
An Interdisciplinary Study on Negotiation Rules for Inter-industry Licensing of Standard Essential Patents
标准必要专利跨行业许可谈判规则的跨学科研究
- 批准号:
23K01211 - 财政年份:2023
- 资助金额:
$ 77.97万 - 项目类别:
Grant-in-Aid for Scientific Research (C)
Everyday transnationalism of the far right: an interdisciplinary study of Polish immigrants' participation in far-right groups in Britain
极右翼的日常跨国主义:对波兰移民参与英国极右翼团体的跨学科研究
- 批准号:
ES/W010151/1 - 财政年份:2023
- 资助金额:
$ 77.97万 - 项目类别:
Research Grant
The significance of English Enlightenment in the history of ideas - an interdisciplinary study on its diffusiveness and acceptance
英国启蒙运动在思想史上的意义——对其传播和接受的跨学科研究
- 批准号:
23H00576 - 财政年份:2023
- 资助金额:
$ 77.97万 - 项目类别:
Grant-in-Aid for Scientific Research (B)