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Interpreting prospective teachers' responses to inequities in a written vignette: A plan for action 解读未来教师对不公平现象的反应:行动计划
Q3 EDUCATION & EDUCATIONAL RESEARCH Pub Date : 2023-11-08 DOI: 10.1111/ssm.12615
Christa Jackson, Kelley Woolford Buchheister, Cynthia E. Taylor
Abstract To develop an equity‐centered orientation in teacher education programs, it is essential teacher educators recognize what prospective teachers attend to in classroom events and how they relate these events to mathematics instruction. In this study, we conceptualize the Equity Noticing Framework and use it as an analytic tool to examine what prospective teachers notice in a classroom vignette focused on cultural and racial biases. The Equity Noticing Framework focuses on understanding what prospective teachers recognize—or overlook—as bias, oppression, and privilege that permeate educational systems, analyze those events that contribute to inequities, and support prospective teachers in becoming change agents who implement strategies that can eradicate systemic barriers. The results from this study reinforce the importance of devoting time to supporting prospective teachers to become more cognizant of their own beliefs about equity and equitable mathematical practices and providing opportunities to analyze these beliefs through research‐proven attitudes and practices.
为了在教师教育计划中发展以公平为中心的取向,教师教育者必须认识到未来教师在课堂活动中参加了什么,以及他们如何将这些活动与数学教学联系起来。在本研究中,我们将公平注意框架概念化,并将其用作分析工具,以检查未来教师在关注文化和种族偏见的课堂小品中注意到什么。公平注意框架的重点是了解未来教师认识到或忽视的渗透在教育系统中的偏见、压迫和特权,分析导致不公平的事件,并支持未来教师成为变革推动者,实施能够消除系统障碍的战略。本研究的结果强调了投入时间支持未来教师更加认识到他们自己对公平和公平数学实践的信念的重要性,并提供机会通过研究证明的态度和实践来分析这些信念。
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引用次数: 0
Prospective science teachers' noticing: An exploration in an authentic practical context 未来科学教师注意:真实实践情境下的探索
Q3 EDUCATION & EDUCATIONAL RESEARCH Pub Date : 2023-10-25 DOI: 10.1111/ssm.12616
Lu Wang, J. Steve Oliver
Abstract Although research demonstrates the key roles practical experiences play in teachers' learning to notice, few studies have examined teacher noticing in practical contexts. This study addresses the gap by exploring prospective science teachers' (PSTs) noticing in an authentic practical setting afforded through a school‐based practicum associated with a block of site‐based science methods and curriculum courses. With five secondary PSTs' daily journals and critical incidents they wrote as they engaged in interactions in science classes, we investigated what PSTs focused their attention on, the ways they process information to make selective attention, and how they appraised the identified events. The study design also allowed us to examine PSTs noticing variations within the same context when they worked as pairs within the same classrooms. Based on the results of the data analysis, we identified two psychological processes PSTs went through to decide what to notice, demonstrated the idiosyncratic nature of their noticing in the same practical context, and illustrated PSTs' wide range of attention and diverse ways of reasoning.
虽然研究表明实践经验在教师注意学习中起着关键作用,但很少有研究对教师注意在实践情境中的作用进行考察。本研究通过探索未来科学教师(pst)在一个真实的实践环境中注意到的问题,解决了这一差距,该环境通过与一系列基于现场的科学方法和课程课程相关的基于学校的实习提供。通过五名二级pst的日常日志和他们在科学课上互动时写的关键事件,我们调查了pst的注意力集中在什么地方,他们处理信息以产生选择性注意力的方式,以及他们如何评估已确定的事件。研究设计还允许我们检查pst,当他们在同一教室成对工作时,在相同的环境中注意到变化。基于数据分析的结果,我们确定了pst决定注意什么的两个心理过程,展示了他们在相同的实际环境中注意的特质,并说明了pst广泛的注意范围和不同的推理方式。
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引用次数: 1
A framework to support teacher noticing of students' mathematical thinking in technology‐mediated environments 一个支持教师在技术介导环境中注意学生数学思维的框架
Q3 EDUCATION & EDUCATIONAL RESEARCH Pub Date : 2023-10-23 DOI: 10.1111/ssm.12601
Allison W. McCulloch, Lara K. Dick, Jennifer N. Lovett
Abstract The practice of teacher noticing students' mathematical thinking often includes three interrelated components: attending to students' strategies, interpreting students' understandings, and deciding how to respond on the basis of students' understanding. This practice gains complexity in technology‐mediated environments (i.e., using technology‐enhanced math tasks) because it requires attending to and interpreting students' engagement with technology. Current frameworks implicitly assume the practice includes noticing the ways students use tools (including technology tools) in their work, but do not explicitly highlight the role of the tool. While research has shown that using these frameworks supports preservice secondary mathematics teachers (PSTs) developing noticing practices, it has also shown that PSTs largely overlook students' technology engagement when they are working on technology‐enhanced tasks ( Journal for Research in Mathematics Education , 2010; 41(2):169–202). In this article, we describe our adaptation of Jacobs et al.'s framework for teacher noticing student mathematical thinking to include a focus on making students' technology‐tool engagement explicit when noticing in technology‐mediated environments, the Noticing in Technology‐Mediated Environments (NITE) framework. We describe the theoretical foundations of the framework, provide a video case example, and then illustrate how the framework can be used by mathematics teacher educators to support PSTs' noticing when students are working in technology‐mediated environments.
教师关注学生数学思维的实践通常包括三个相互关联的组成部分:关注学生的策略,解释学生的理解,在学生理解的基础上决定如何应对。这种实践在技术介导的环境中(例如,使用技术增强的数学任务)变得更加复杂,因为它需要关注和解释学生与技术的互动。当前的框架隐含地假设实践包括注意学生在工作中使用工具(包括技术工具)的方式,但没有明确强调工具的作用。虽然研究表明,使用这些框架有助于职前中学数学教师(pst)发展注意实践,但研究也表明,pst在很大程度上忽视了学生在从事技术增强任务时的技术参与(Journal for research in mathematics Education, 2010;41(2): 169 - 202)。在本文中,我们描述了我们对Jacobs等人的教师注意学生数学思维框架的调整,包括在技术介导的环境中注意学生的技术工具参与的重点,即技术介导环境中的注意(NITE)框架。我们描述了该框架的理论基础,提供了一个视频案例,然后说明了数学教师教育工作者如何使用该框架来支持pst在学生在技术介导的环境中工作时的注意。
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引用次数: 1
Middle school students' development of an understanding of the concept of function using an applet with no algebraic representations 利用applet开发中学生对函数概念的理解,不带代数表示
Q3 EDUCATION & EDUCATIONAL RESEARCH Pub Date : 2023-10-23 DOI: 10.1111/ssm.12622
Michael S. Meagher, Jennifer N. Lovett, Allison W. McCulloch
Abstract Middle school students ( n = 144) worked with an applet specially designed to introduce the concept of function without using algebraic representations. The purpose of the study was to examine whether the applet would help students understand function as a relationship between a set of inputs and a set of outputs and to begin to develop a definition of function based on that relationship. Results indicate that, by focusing on consistency of the outputs, the students, at a rate of approximately 80%, are able to distinguish functions from nonfunctions. Also, students showed some promise in recognizing constant functions as functions, a known area of common misconceptions. Students' main conceptual difficulty, likely caused by the context, was accepting nonintuitive outputs even if those outputs were consistent.
中学生(n = 144)使用一个专门设计的applet来介绍函数的概念,而不使用代数表示。这项研究的目的是检查applet是否能帮助学生理解函数是一组输入和一组输出之间的关系,并根据这种关系开始制定函数的定义。结果表明,通过关注输出的一致性,学生能够以大约80%的比率区分功能和非功能。此外,学生们在将常数函数识别为函数方面表现出了一些希望,这是一个众所周知的常见误解领域。学生的主要概念困难,可能是由上下文引起的,是接受非直觉的输出,即使这些输出是一致的。
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引用次数: 0
Framing, responsiveness, serviceability, and normativity: Categories of perception teachers use to relate to students' mathematical contributions in problem‐based lessons 框架、响应性、可服务性和规范性:教师用来与学生在基于问题的课程中的数学贡献相关的感知类别
Q3 EDUCATION & EDUCATIONAL RESEARCH Pub Date : 2023-10-23 DOI: 10.1111/ssm.12600
Patricio Herbst, Amanda Brown, Daniel Chazan, Nicolas Boileau, Irma Stevens
Abstract We contribute to the understanding of teacher noticing by focusing on what a teacher may notice in students' mathematical contributions in the context of problem‐based lessons. Complementing approaches to research on noticing that focus on individual teachers' perceptual, cognitive, or situated skills, this conceptual article offers four categories of perception as examples of affordances available in the practice of teaching mathematics through problems. These include (1) the familiar instructional situations available to frame the problem, and the possibility to see student's work as (2) responsive to the problem, (3) serviceable for the knowledge at stake, and (4) normative with respect to the instructional situation used to frame the problem. The article shows examples of how teachers recognize responsiveness, serviceability, and normativity of student contributions and calls for research that can further uncover how such recognition may matter in the practice of teaching.
我们通过关注教师在基于问题的课程背景下可能注意到的学生数学贡献,有助于理解教师注意。作为对关注教师个体感知、认知或情境技能的研究方法的补充,这篇概念性文章提供了四类感知作为通过问题教学数学实践中可用的启示的例子。这些包括(1)可用于构建问题的熟悉教学情境,以及看到学生作业的可能性(2)对问题的响应,(3)对相关知识的服务,以及(4)与用于构建问题的教学情境相关的规范性。这篇文章展示了教师如何认识到学生贡献的响应性、服务性和规范性的例子,并呼吁进行研究,以进一步揭示这种认识在教学实践中是如何起作用的。
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引用次数: 1
Intersections of teacher noticing and culturally sustaining pedagogy: A conceptual framework to inform the design of teacher learning 教师关注与文化维持教学法的交叉点:为教师学习设计提供信息的概念框架
Q3 EDUCATION & EDUCATIONAL RESEARCH Pub Date : 2023-10-19 DOI: 10.1111/ssm.12611
Melissa J. Luna, Malayna Bernstein, Janet D. K. Walkoe
Abstract Teacher noticing scholars are just beginning to explore how to support noticing that is responsive to students' cultural resources. The theoretical basis of the teacher noticing literature affords scholars a range of paths for understanding student resources, only some of which are described in the literature. In this article, we offer a conceptual model showing how the theoretical roots related to teacher noticing and responsive teaching (N/RT) are closely aligned with theories foundational to culturally sustaining pedagogy (CSP). We then offer an illustration of teachers participating in a video club specifically designed to support noticing students' disciplinary thinking in science—and show how the teachers' talk positioned them to see the cultural foundations of student learning, a perspective that lays the groundwork for teachers to teach in culturally sustaining ways. With an eye to developing future designs of video clubs that highlight disciplinary thinking in both mathematics and science alongside cultural resources—and the intersections therein—in this article, we begin the foundational work of better understanding the theoretical connections across both cultural and disciplinary ways of seeing, knowing, and responding.
摘要教师注意的研究学者们刚刚开始探索如何支持响应学生文化资源的注意。教师注意文学的理论基础为学者理解学生资源提供了一系列途径,但文献中只描述了其中的一部分。在本文中,我们提供了一个概念模型,展示了与教师注意和响应式教学(N/RT)相关的理论根源如何与文化维持教学法(CSP)的基础理论密切相关。然后,我们提供了一个教师参加视频俱乐部的例子,该视频俱乐部专门设计用于支持注意学生在科学方面的学科思维,并展示了教师的谈话如何使他们看到学生学习的文化基础,这种观点为教师以文化可持续的方式教学奠定了基础。着眼于开发视频俱乐部的未来设计,突出数学和科学的学科思维以及文化资源及其交叉点,在本文中,我们开始了更好地理解文化和学科方式之间的理论联系的基础工作,看,知道,和回应。
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引用次数: 0
How do students learn definite integrals? Exploring students' learning opportunities 学生如何学习定积分?探索学生的学习机会
Q3 EDUCATION & EDUCATIONAL RESEARCH Pub Date : 2023-10-19 DOI: 10.1111/ssm.12605
Dae S. Hong
Abstract This study explores calculus students' opportunities to learn the concepts of integral by examining one mathematician's videotaped lessons and the textbook. Results show that both lessons and the textbook introduce important cognitive resources briefly and focus on other units of knowledge. Implications to these results are also discussed.
摘要本研究通过考察一位数学家的视频课程和教材,探讨微积分学生学习积分概念的机会。结果表明,课程和教材都简要介绍了重要的认知资源,并重点介绍了其他知识单元。对这些结果的含义也进行了讨论。
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引用次数: 0
“My noticing lens disrupts this narrative”: Preservice mathematics teachers' awareness of the self as noticer “我的注意镜头破坏了这种叙述”:职前数学教师对自我作为注意者的意识
Q3 EDUCATION & EDUCATIONAL RESEARCH Pub Date : 2023-10-17 DOI: 10.1111/ssm.12618
Ethan Rubin, Elizabeth A. van Es
Abstract Teacher noticing has been identified as central to enacting responsive and equitable mathematics instruction. Mathematics teachers' noticing is shaped by institutional and sociopolitical narratives and ideologies that persistently marginalize culturally, socially, linguistically, and neuro‐diverse learners. Gaining insight into how one's noticing is related to these narratives can enable a teacher to identify and reflect on how they frame, attend to, and interpret classroom activity, and how that in turn can perpetuate or disrupt inequitable mathematics instruction. We conjectured that learning to systematically analyze and reflect on their own noticing can enable preservice mathematics teachers to develop their awareness of themselves as noticers to support more responsive and equitable instructional practice. Using data from summative assignments in a course focused on learning from teaching, we investigate whether and how preservice teachers (PSTs) take up frameworks for responsive and equitable teaching to narrate their noticing, and examine what their narrations reveal about how they frame mathematics instruction. Analysis reveals PSTs problematized instruction to adopt aspirational frames for equitable practice, while also re‐narrating classroom interactions from dominant perspectives. These findings have implications for PSTs' learning to notice for equity and for designing teacher education experiences for this purpose.
教师注意已被确定为制定响应性和公平的数学教学的核心。数学教师的注意受到制度和社会政治叙事和意识形态的影响,这些叙事和意识形态持续地将文化、社会、语言和神经多样性的学习者边缘化。深入了解一个人的注意是如何与这些叙述联系在一起的,可以使教师识别和反思他们是如何构建、关注和解释课堂活动的,以及这反过来是如何延续或破坏不公平的数学教学的。我们推测,学习系统地分析和反思自己的注意可以使职前数学教师发展自己作为注意者的意识,以支持更积极和公平的教学实践。在一门以“从教学中学习”为重点的课程中,我们使用总结性作业的数据,调查职前教师(pst)是否以及如何采用响应性和公平的教学框架来叙述他们的注意,并检查他们的叙述揭示了他们如何构建数学教学。分析表明,pst问题教学采用公平实践的期望框架,同时也从主导观点重新叙述课堂互动。这些发现对pst学习注意公平以及为此目的设计教师教育经验具有启示意义。
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引用次数: 0
Problem Section 问题部分
Q3 EDUCATION & EDUCATIONAL RESEARCH Pub Date : 2023-10-16 DOI: 10.1111/ssm.12620
Albert Natian
School Science and MathematicsEarly View PROBLEMS Problem Section Albert Natian, Albert Natian Section EditorSearch for more papers by this author Albert Natian, Albert Natian Section EditorSearch for more papers by this author First published: 16 October 2023 https://doi.org/10.1111/ssm.12620Read the full textAboutPDF ToolsRequest permissionExport citationAdd to favoritesTrack citation ShareShare Give accessShare full text accessShare full-text accessPlease review our Terms and Conditions of Use and check box below to share full-text version of article.I have read and accept the Wiley Online Library Terms and Conditions of UseShareable LinkUse the link below to share a full-text version of this article with your friends and colleagues. Learn more.Copy URL Share a linkShare onEmailFacebookTwitterLinkedInRedditWechat No abstract is available for this article. Early ViewOnline Version of Record before inclusion in an issue RelatedInformation
学校科学与数学,早期问题,问题部分Albert Natian, Albert Natian部分编辑搜索更多作者的论文,Albert Natian部分编辑搜索更多作者的论文,首次发表:2023年10月16日https://doi.org/10.1111/ssm.12620Read全文taboutpdf ToolsRequest permissionExport citationAdd to favoritesTrack citation ShareShare给予accessShare全文accessShare全文accessShare请查看我们的使用条款和条件,并勾选下面的复选框共享文章的全文版本。我已经阅读并接受了Wiley在线图书馆使用共享链接的条款和条件,请使用下面的链接与您的朋友和同事分享本文的全文版本。学习更多的知识。复制URL共享链接共享一个emailfacebooktwitterlinkedinreddit微信本文无摘要在包含问题之前的早期视图在线记录版本相关信息
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引用次数: 0
Learning from COVID‐19: Research education in troubling times 从COVID - 19中吸取教训:动荡时期的研究教育
Q3 EDUCATION & EDUCATIONAL RESEARCH Pub Date : 2023-10-16 DOI: 10.1111/ssm.12617
Michael Coe, David Jones, Anna Kiley, Carolyn Hester, Tony Ward
Abstract The United Nations has identified the COVID‐19 pandemic as the largest global disruption of education in history. Collaborative and hands‐on learning activities in science, technology, engineering, and mathematics were particularly challenging to maintain during this period. Future large‐scale disruptions of schools are considered likely, leading to questions about how educators can be better prepared. Since 2019, the REACH program has worked with schools in Montana, Idaho, Alaska, and Hawaii to educate students about air quality and health. The program also provides a framework and support for teachers to incorporate rudimentary student‐led scientific field research in middle and high school science courses. Through student and teacher surveys, we inquired about how the pandemic affected program experiences during the 2020/2021 and 2021/2022 school years. Responses from 416 students and 31 teachers showed both difficulties and adaptive capacity in implementing the REACH program during COVID‐19‐related restrictions. It is encouraging to appreciate the resilience of students and teachers as they adapted to emergency remote teaching and learning strategies. However, the extent and the specific kinds of difficulties they encountered may inform efforts to help schools and teachers become better prepared for potential future events that may disrupt in‐classroom learning.
联合国已将COVID - 19大流行确定为历史上最大的全球教育中断。在这一时期,科学、技术、工程和数学领域的协作和实践学习活动尤其具有挑战性。人们认为,未来可能发生大规模的学校中断,这引发了教育工作者如何更好地做好准备的问题。自2019年以来,REACH项目与蒙大拿州、爱达荷州、阿拉斯加州和夏威夷的学校合作,对学生进行空气质量和健康教育。该计划还为教师提供了一个框架和支持,以便将学生主导的基本科学实地研究纳入初中和高中科学课程。通过对学生和教师的调查,我们了解了疫情如何影响2020/2021学年和2021/2022学年的项目经验。来自416名学生和31名教师的回复显示了在COVID - 19相关限制期间实施REACH计划的困难和适应能力。令人鼓舞的是,学生和教师在适应紧急远程教学和学习战略时表现出了适应能力。然而,他们遇到的困难的程度和具体种类可能有助于帮助学校和教师更好地为可能破坏课堂学习的潜在未来事件做好准备。
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引用次数: 0
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School Science and Mathematics
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