Enhancing Preparation of Secondary Preservice Mathematics Teachers: Mathematical Reasoning and Proving as a Lens for Teaching
加强中学职前数学教师的准备:数学推理和证明作为教学的镜头
基本信息
- 批准号:1711163
- 负责人:
- 金额:$ 28.32万
- 依托单位:
- 依托单位国家:美国
- 项目类别:Standard Grant
- 财政年份:2017
- 资助国家:美国
- 起止时间:2017-06-01 至 2022-05-31
- 项目状态:已结题
- 来源:
- 关键词:
项目摘要
This project will contribute to the National Science Foundation's goal of improving undergraduate STEM education to broaden and strengthen the U.S. STEM workforce. Preparation of mathematically literate and STEM-oriented majors begins prior to students reaching college. It begins with highly qualified and knowledgeable teachers, who inspire and prepare students to pursue STEM disciplines. Thus, it is imperative to prepare excellent mathematics teachers capable of enacting effective teaching practices in their classrooms. This project will address this teacher knowledge base through design, implementation, and study of a new, technologically rich capstone course called Mathematical Reasoning and Proving for Secondary Teachers. The course will enhance prospective secondary mathematics teachers' content and pedagogical knowledge to promote deep conceptual understanding, problem solving, reasoning, and proving skills. This emphasis concurs with the vision put forward by the National Council of Teachers of Mathematics and the Common Core State Standards for Mathematics. The successful implementation of this vision relies on a well-qualified and knowledgeable teacher workforce. The project will generate evidence-based approaches, instructional modules and facilitator guides to improve preparation of secondary mathematics teachers throughout the country, and by extension the project will enhance the mathematics education of thousands of middle school and secondary school students.The innovative aspects of the capstone course Mathematical Reasoning and Proving for Secondary Teachers will include university-based experiences supported by virtual learning environments, a structured practical experience in local schools, and an emphasis on reasoning, justification, and proving as an overarching approach for teaching mathematics. The project will develop a concept model of the capstone course, four instructional modules, and the accompanying facilitator guides. The instructional modules will each address a critical topic related to proving, such as quantification, conditional statements, direct proof and proof by contrapositive. The project will utilize design-based research methodology to study how prospective teachers' content and pedagogical knowledge for teaching mathematical reasoning and proving develop throughout the course. The results will help to better understand the impact of the learning environment and its design components on enhancing prospective teachers' knowledge. Specifically, the project will contribute to the literature on mathematical reasoning and proving and the ways to incorporate them in teacher preparation and, consequently, in the mathematics classroom. The theoretical and the empirical knowledge generated by the project will be broadly disseminated to help to improve preparation of secondary mathematics teachers nationwide. The Robert Noyce Teacher Scholarship program will provide co-funding for this project in recognition of its alignment with the broader teacher preparation goals of the Noyce effort.
该项目将有助于实现美国国家科学基金会改善本科 STEM 教育以扩大和加强美国 STEM 劳动力队伍的目标。数学素养和 STEM 导向专业的准备工作在学生进入大学之前就开始了。它始于高素质、知识渊博的教师,他们激励学生并为他们追求 STEM 学科做好准备。因此,培养能够在课堂上进行有效教学实践的优秀数学教师势在必行。该项目将通过设计、实施和研究一门新的、技术丰富的顶点课程“中学教师数学推理和证明”来解决教师的知识库问题。该课程将提高未来中学数学教师的教学内容和教学知识,以促进深入的概念理解、问题解决、推理和证明技能。这一重点与全国数学教师委员会提出的愿景和共同核心数学国家标准一致。这一愿景的成功实施依赖于高素质、知识渊博的教师队伍。该项目将产生基于证据的方法、教学模块和辅导员指南,以提高全国中学数学教师的准备,并通过扩展该项目将加强数千名中学生的数学教育。中学教师的数学推理和证明顶点课程将包括虚拟学习环境支持的大学经验、当地学校的结构化实践经验,以及强调推理、论证和证明作为数学教学的总体方法。该项目将开发顶点课程的概念模型、四个教学模块以及随附的辅导员指南。每个教学模块将讨论与证明相关的关键主题,例如量化、条件陈述、直接证明和反证证明。该项目将利用基于设计的研究方法来研究未来教师在数学推理和证明教学中的内容和教学知识如何在整个课程中发展。研究结果将有助于更好地了解学习环境及其设计组成部分对提高未来教师知识的影响。具体来说,该项目将有助于撰写有关数学推理和证明的文献,以及将其纳入教师准备并最终纳入数学课堂的方法。该项目产生的理论和经验知识将得到广泛传播,以帮助提高全国中学数学教师的准备。罗伯特·诺伊斯教师奖学金计划将为该项目提供共同资助,以表彰其与诺伊斯努力的更广泛的教师培训目标的一致性。
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)
MATHEMATICAL KNOWLEDGE FOR TEACHING PROOF: COMPARING SECONDARY TEACHERS, PRE-SERVICE TEACHERS AND UNDERGRADUATE STEM MAJORS
教学证明的数学知识:比较中学教师、职前教师和本科 STEM 专业
- DOI:
- 发表时间:2021
- 期刊:
- 影响因子:0
- 作者:Buchbinder, O.;McCrone, S.;Capozzoli, M.;Butler, R.
- 通讯作者:Butler, R.
Preservice teachers learning to teach proof through classroom implementation: Successes and challenges
职前教师学习通过课堂实施教授证据:成功与挑战
- DOI:
- 发表时间:2020
- 期刊:
- 影响因子:0
- 作者:Buchbinder, O.;McCrone, S.
- 通讯作者:McCrone, S.
Opportunities to Engage Secondary Students in Proof Generated by Pre-service Teachers
让中学生参与职前教师制作的证明的机会
- DOI:
- 发表时间:2019
- 期刊:
- 影响因子:0
- 作者:Buchbinder, O;McCrone, S.
- 通讯作者:McCrone, S.
Prospective teachers enacting proof tasks in secondary mathematics classrooms.
未来的教师在中学数学课堂上执行证明任务。
- DOI:
- 发表时间:2019
- 期刊:
- 影响因子:0
- 作者:Buchbinder, O.;McCrone, S.
- 通讯作者:McCrone, S.
Mathematical Reasoning and Proving for Prospective Secondary Teachers.
未来中学教师的数学推理与证明。
- DOI:
- 发表时间:2018
- 期刊:
- 影响因子:0
- 作者:Buchbinder, O;McCrone, S
- 通讯作者:McCrone, S
{{
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 }}
Orly Buchbinder其他文献
Mathematical Knowledge for Teaching Proof: Comparing Secondary Teachers, Pre-Service Secondary Teachers, and Undergraduate Majors
用于教学证明的数学知识:比较中学教师、职前中学教师和本科专业
- DOI:
10.1007/s40753-022-00187-8 - 发表时间:
2022 - 期刊:
- 影响因子:1.5
- 作者:
Orly Buchbinder;S. McCrone;M. Capozzoli;Rebecca L. Butler - 通讯作者:
Rebecca L. Butler
Advancing reasoning and proof in secondary mathematics classrooms: instructional modules for supporting teachers
推进中学数学课堂的推理和证明:支持教师的教学模块
- DOI:
- 发表时间:
2020 - 期刊:
- 影响因子:0
- 作者:
Orly Buchbinder;S. McCrone - 通讯作者:
S. McCrone
Representations of Practice in Teacher Education and Research—Spotlights on Different Approaches
教师教育与研究实践的表征——不同方法的聚焦
- DOI:
10.1007/978-3-319-70594-1_1 - 发表时间:
2018 - 期刊:
- 影响因子:0
- 作者:
Orly Buchbinder;S. Kuntze - 通讯作者:
S. Kuntze
What Can You Infer from This Example? Applications of Online, Rich-Media Tasks for Enhancing Pre-service Teachers’ Knowledge of the Roles of Examples in Proving
您可以从这个例子中推断出什么?应用在线富媒体任务来增强职前教师对例子在证明中的作用的了解
- DOI:
10.1007/978-3-319-43423-0_11 - 发表时间:
2017 - 期刊:
- 影响因子:0
- 作者:
Orly Buchbinder;Iris Zodik;Gila Ron;A. Cook - 通讯作者:
A. Cook
On Convincing Power of Counterexamples
论反例的说服力
- DOI:
- 发表时间:
2024 - 期刊:
- 影响因子:0
- 作者:
Orly Buchbinder;Rina Zazkis - 通讯作者:
Rina Zazkis
Orly Buchbinder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('Orly Buchbinder', 18)}}的其他基金
CAREER: Investigation of Beginning Teachers' Expertise to Teach Mathematics via Reasoning and Proof
职业生涯:通过推理和证明对初任教师教授数学的专业知识进行调查
- 批准号:
1941720 - 财政年份:2020
- 资助金额:
$ 28.32万 - 项目类别:
Continuing Grant
相似国自然基金
准备金监管套利和非监管套利视角下的中国影子银行及最优监管机制研究
- 批准号:72373147
- 批准年份:2023
- 资助金额:41 万元
- 项目类别:面上项目
疫情防控常态化下特大城市应急准备能力评估:制度体系、运行反馈与学习优化
- 批准号:72274232
- 批准年份:2022
- 资助金额:45 万元
- 项目类别:面上项目
出院准备情境下早产儿父母的同伴支持模式研究:基于最优匹配理论与时机理论
- 批准号:
- 批准年份:2021
- 资助金额:30 万元
- 项目类别:青年科学基金项目
基于“情景-任务-能力”模式的儿童医院突发公共卫生事件应急准备体系研究
- 批准号:72104152
- 批准年份:2021
- 资助金额:30 万元
- 项目类别:青年科学基金项目
真实条件下警用手枪射击准备阶段大脑神经机制研究
- 批准号:
- 批准年份:2020
- 资助金额:24 万元
- 项目类别:青年科学基金项目
相似海外基金
Enhancing Science Education through Virtual Reality: A Conference to Design Simulations that Enhance the Clinical Preparation of Secondary Science Teachers
通过虚拟现实加强科学教育:设计模拟以加强中学科学教师的临床准备的会议
- 批准号:
2040747 - 财政年份:2021
- 资助金额:
$ 28.32万 - 项目类别:
Standard Grant
A Pilot Trial of Gamification for Enhancing a Smoking Cessation App.
用于增强戒烟应用程序的游戏化试点。
- 批准号:
9893737 - 财政年份:2020
- 资助金额:
$ 28.32万 - 项目类别:
Enhancing Precision of Estimates of Sexual Orientation and Gender Identity Disparities in Tobacco and Cannabis use in Young People
提高年轻人烟草和大麻使用中性取向和性别认同差异的估计精度
- 批准号:
10831803 - 财政年份:2019
- 资助金额:
$ 28.32万 - 项目类别:
Enhancing Glaucoma Medication Adherence Among African Americans
提高非裔美国人青光眼药物的依从性
- 批准号:
9292329 - 财政年份:2015
- 资助金额:
$ 28.32万 - 项目类别:
Enhancing Glaucoma Medication Adherence Among African Americans
提高非裔美国人青光眼药物的依从性
- 批准号:
9070592 - 财政年份:2015
- 资助金额:
$ 28.32万 - 项目类别: