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Mathematics teacher educators’ navigational expertise when designing multimodal representations of practice: a semiotic analysis 数学教师教育者在设计多模式实践表征时的导航专业知识:符号学分析
IF 2.1 2区 教育学 Q1 EDUCATION & EDUCATIONAL RESEARCH Pub Date : 2024-09-13 DOI: 10.1007/s10857-024-09658-y
Gil Schwarts, Patricio Herbst, Daniel Chazan, Orly Buchbinder, Lawrence M. Clark, Rob Wieman, William Zahner

Critical elements of the expertise of mathematics teacher educators (MTE) can be identified in the artifacts they design for working with prospective teachers (PT), specifically for engaging PT in the double role of practitioners and students of practice. While MTE are increasingly utilizing designed multimodal representations of practice (such as storyboards), theoretical frameworks and methods for analyzing these pedagogical artifacts and the meanings they support are still in early development. We utilize a semiotic framework, expanding systemic functional linguistics to encompass non-linguistic elements, to identify aspects of what we call navigational expertise—which supports PTs in engaging both as practitioners and students of the practice. We view this expertise as tacit knowledge-in-use, enacted through artifact production. The paper demonstrates MTE’s navigational expertise by showing how MTE design storyboards of practice to engage PT as fellow teachers experiencing the lesson taught by a peer and as university students who consider the artifact (including the represented lesson) as an object of study. The framework allows us to identify how MTE’s navigational expertise lies in seamlessly interweaving these two purposes and navigating between them, knowing when, how, and for what purposes to invoke each. Through analysis of storyboards from four MTE in diverse US settings, we uncover some of the nuanced tacit components of navigational expertise, highlighting linguistic and non-linguistic design choices and their potential meanings for transactions with PT.

数学教师教育者(MTE)专业知识的关键要素可以从他们为未来教师(PT)设计的工 具中找到,特别是让未来教师扮演实践者和实践学生的双重角色。虽然数学教育工作者越来越多地使用设计好的多模态实践表征(如故事板),但分析这些教学工件及其所支持的意义的理论框架和方法仍处于早期发展阶段。我们利用一个符号学框架,将系统功能语言学扩展到包括非语言要素,以确定我们称之为导航专业知识的各个方面--这些专业知识支持教师作为实践者和学生参与实践。我们将这种专业知识视为使用中的隐性知识,通过人工制品的制作来实现。本文通过展示教师教育学院如何设计实践故事板,让教师作为教师同行参与体验同行所教的课程,以及作为大学生将人工制品(包括所代表的课程)视为研究对象,从而展示教师教育学院的导航专长。该框架使我们能够确定,教师教育专家的导航专长是如何将这两种目的完美地结合在一起,并在两者之间进行导航,知道何时、如何以及出于何种目的引用每一种目的。通过对美国不同环境中四位 MTE 的故事板进行分析,我们揭示了导航专业知识中一些微妙的隐性组成部分,强调了语言和非语言设计选择及其在与 PT 交易中的潜在含义。
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引用次数: 0
Publishing mathematics education research in English: amplifying voices from the field 用英语出版数学教育研究成果:放大来自该领域的声音
IF 2.1 2区 教育学 Q1 EDUCATION & EDUCATIONAL RESEARCH Pub Date : 2024-09-13 DOI: 10.1007/s10857-024-09659-x
Lisa Darragh, Karin Brodie, Anjum Halai, Núria Planas, Despina Potari, Manuel Santos-Trigo, Thorsten Scheiner, Janet Walkoe

In this paper we investigate the issue of representation within the Journal of Mathematics Teacher Education (JMTE) and the broader academic publishing landscape, particularly focusing on the underrepresentation of authors from various world regions. A questionnaire, distributed globally, aimed to amplify the voices of the underrepresented, exploring the constraints and affordances of publishing in English-medium mathematics education research journals. The question that guided our investigation was: What do voices from the mathematics education community raise in their responses to questions about publishing in English-medium research journals like JMTE? We used qualitative methods to review the responses and identify common themes. The findings revealed significant barriers and challenges related to language, research location, and institutional support, highlighting the complexities of navigating the global academic community and the academic publishing culture. We propose actionable suggestions to foster a more equitable, diverse, and inclusive publishing environment.

在本文中,我们调查了《数学教师教育期刊》(JMTE)和更广泛的学术出版领域中的代表性问题,尤其关注来自世界各地区的作者代表性不足的问题。我们在全球范围内发放了一份调查问卷,旨在扩大代表性不足者的声音,探讨在以英语为教学语言的数学教育研究期刊上发表文章的限制因素和承受能力。指导我们调查的问题是来自数学教育界的声音在回答有关在《JMTE》等以英语为媒介的研究期刊上发表论文的问题时提出了什么?我们采用定性方法审查了这些答复,并确定了共同的主题。研究结果揭示了与语言、研究地点和机构支持有关的重大障碍和挑战,凸显了在全球学术界和学术出版文化中游刃有余的复杂性。我们提出了一些可行的建议,以营造一个更加公平、多元化和包容的出版环境。
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引用次数: 0
Profiling mathematics teacher educators' readiness for digital technology integration: evidence from Zambia 分析数学教师教育者在数字技术整合方面的准备情况:来自赞比亚的证据
IF 2.1 2区 教育学 Q1 EDUCATION & EDUCATIONAL RESEARCH Pub Date : 2024-09-04 DOI: 10.1007/s10857-024-09657-z
Angel Mukuka, Jogymol Kalariparampil Alex

Research on Mathematics Teacher Educators (MTEs) is crucial for enhancing the professional development of prospective mathematics teachers. However, there is a dearth of recent studies focusing on MTEs’ preparedness for technology integration, particularly within the Zambian educational context, and the wider Sub-Saharan African region. This study assessed the readiness of MTEs in Zambia to effectively integrate digital technology into mathematics education, examining their perceived technological proficiency and familiarity, perceived usefulness, and perceived ease of use. Using a predominantly quantitative cross sectional research design, responses were gathered from 104 MTEs across 16 colleges of education and 12 universities in Zambia through an online semi-structured questionnaire. The findings revealed that, on average, MTEs exhibited low to moderate familiarity with various mathematics-related software applications, e-learning management systems, and web-based video conferencing tools. Although technological proficiency and perceived ease of use were somewhat lacking, MTEs demonstrated awareness of the value of digital technology and expressed willingness to ensure that preservice mathematics teachers acquire the necessary information and skills for technology integration in mathematics teaching and learning. Furthermore, willingness to use technology in the classroom was significantly predicted by perceived usefulness of, and proficiency with, various digital tools. The study also revealed that individuals tend to perceive technology as easier to use as they become more technologically proficient. In light of these findings, it is suggested that access to technological support not only enhances MTEs’ perception of technology’s ease of use but also positively influences their inclination to incorporate it into instructional strategies.

对数学教师教育者(MTEs)的研究对于促进未来数学教师的专业发展至关重要。然而,近期对数学教师教育者的技术整合准备情况的研究却很少,尤其是在赞比亚教育背景下,以及在更广泛的撒哈拉以南非洲地区。本研究评估了赞比亚数学教育工作者将数字技术有效融入数学教育的准备情况,考察了他们对技术熟练程度和熟悉程度的感知、对有用性的感知以及对易用性的感知。研究主要采用定量横断面研究设计,通过在线半结构式问卷调查,收集了赞比亚 16 所教育学院和 12 所大学 104 名数学教育工作者的答复。研究结果表明,平均而言,数学教育工作者对各种数学相关软件应用程序、电子学习管理系统和网络视频会议工具的熟悉程度处于中下水平。虽然技术熟练程度和易用性有所欠缺,但数学教育专家们表现出了对数字技术价值的认识,并表示愿意确保职前数学教师获得必要的信息和技能,以便将技术整合到数学教学中。此外,在课堂上使用技术的意愿在很大程度上受各种数字工具的实用性和熟练程度的影响。研究还显示,随着个人技术水平的提高,他们往往会认为技术更容易使用。鉴于这些研究结果,我们认为,获得技术支持不仅能增强流动专家组对技术易用性的感知,还能对他们将技术纳入教学策略的倾向产生积极影响。
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引用次数: 0
Learning through teaching: novice mathematics teacher educators coping with unfamiliarity 在教学中学习:数学教师教育新手应对陌生感
IF 2.1 2区 教育学 Q1 EDUCATION & EDUCATIONAL RESEARCH Pub Date : 2024-08-30 DOI: 10.1007/s10857-024-09654-2
Canan Güneş, Andrew Kercher, Rina Zazkis

There is a growing research interest in examining how mathematics teacher educators grow professionally in their practice. In this study, we focus on the experiences of novice mathematics teacher educators who had been secondary mathematics teachers before becoming instructors of an elementary methods course. During individual, semi-structured interviews, the participants (n = 6) described their general experience in teaching the course and shared specific incidents that informed their practice. Our analysis reveals that this specific group of mathematics educators experienced multiple layers of unfamiliarity with the methods course, including unfamiliarity related to the elementary school context and to the course students, in response to which they adopted various coping strategies. We illustrate what novice mathematics teacher educators learned from their experiences of unfamiliarity, and how their expanded personal knowledge was reflected in their subsequent teaching.

对数学教师教育者如何在实践中获得专业成长的研究兴趣与日俱增。在本研究中,我们将重点放在新手数学教师教育者的经验上,他们在成为小学数学教学法课程的讲师之前曾是中学数学教师。在个人半结构式访谈中,参与者(n = 6)描述了他们教授课程的一般经验,并分享了影响他们实践的具体事件。我们的分析表明,这群特殊的数学教育工作者对方法课程经历了多层次的不熟悉,包括对小学环境和课程学生的不熟悉,为此他们采取了各种应对策略。我们说明了数学教师教育新手从他们的陌生经历中学到了什么,以及他们所扩展的个人知识是如何反映在他们随后的教学中的。
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引用次数: 0
Research-based design of coaching for ambitious mathematics instruction 基于研究的雄心勃勃的数学教学辅导设计
IF 2.1 2区 教育学 Q1 EDUCATION & EDUCATIONAL RESEARCH Pub Date : 2024-08-30 DOI: 10.1007/s10857-024-09637-3
Bilge Yurekli, Mary Kay Stein

Despite the evidence of its effectiveness on student learning, ambitious mathematics instruction has proven to be challenging for teachers to enact. Increasingly, instructional coaching programs have become a way of providing intensive one-on-one support to teachers to improve the quality of mathematics instruction. Researchers have identified various design features of effective mathematics coaching programs (e.g., lesson planning, co-teaching, deep and specific discussions of instruction). However, there is a lack of theoretical explanation for how and why these design features support teacher learning, which is critical for successfully implementing and adapting what works. Motivated by the need to illuminate what current research has left in the shadows, we first identify the processes of teacher learning based on past research and then illustrate how specific design features of a new coaching model can work together to activate these processes and consequently produce teacher learning. We use the conjecture mapping approach to achieve our goal, informed by a research-based high-level conjecture: Effective coaching programs engage teachers in learning processes similar to the learning processes that students experience in ambitious classrooms. This work will guide the development of an empirically grounded theory for teacher learning through coaching. The reification of teacher learning processes is particularly important for the adaptation of coaching practices in different contexts and content areas. We also argue that focusing on these processes will bring a new perspective to coach navigation of tensions, for example, between responsiveness and directiveness.

尽管有证据表明数学教学对学生的学习非常有效,但事实证明,教师要实施雄心 勃勃的数学教学是一项挑战。越来越多的教学辅导计划已成为一种为教师提供一对一强化支持以提高数学教学质量的方法。研究人员发现,有效的数学辅导项目具有多种设计特点(如备课、共同教学、深入而具体的教学讨论)。然而,对于这些设计特点如何以及为什么能够支持教师的学习,却缺乏理论解释,而这对于成功实施和调整行之有效的方法至关重要。我们首先根据以往的研究确定了教师学习的过程,然后说明了新的辅导模式的具体设计特征如何共同激活这些过程,从而产生教师学习。我们通过基于研究的高层次猜想,采用猜想图法来实现我们的目标:有效的辅导计划能让教师参与到学习过程中,类似于学生在雄心勃勃的课堂上所经历的学习过程。这项工作将指导教师通过辅导进行学习的经验基础理论的发展。教师学习过程的重新定义对于在不同环境和内容领域调整辅导实践尤为重要。我们还认为,对这些过程的关注将为教练如何处理紧张关系(例如,回应性与直接性之间的关系)带来新的视角。
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引用次数: 0
Facilitating collaborative inquiry into practice around artifacts of mathematics teaching 促进围绕数学教学人工制品的合作探究实践
IF 2.1 2区 教育学 Q1 EDUCATION & EDUCATIONAL RESEARCH Pub Date : 2024-08-27 DOI: 10.1007/s10857-024-09649-z
Caroline B. Ebby, Brittany Hess, Lizzy Pecora, Jennifer Valerio

Although there has been increasing attention to the importance of teacher agency in professional development, there has been little attention to what it takes to facilitate collaborative work that both centers teachers’ assets and expertise and leads to productive learning. This paper presents a framework for focused and responsive facilitation of productive discourse around instructional practice in teacher learning communities. Drawing on a situative perspective, we trace the development of six novice teacher leaders as they were mentored to lead online collaborative lesson design groups focused on analyzing artifacts of K-8 mathematics instruction in a large urban district in the US. Our framework articulates how leaders facilitated the discussions in ways that both built on teacher knowledge, experiences, and contributions while also focusing on professional learning goals. Our analysis also shows how rich learning opportunities were co-constructed and sustained by the mentors, teacher leaders, and participants in each group over time. Through narrative descriptions of one group, we show how the teacher participants began to take on some of the facilitation practices themselves as they apprenticed into the practices of the community. This approach to professional learning positions teachers’ experience and knowledge as important assets while supporting them to try out and reflect on new classroom practices.

尽管人们越来越关注教师在专业发展中的主导作用,但却很少关注如何促进合作 工作,使其既能集中教师的优势和专长,又能带来富有成效的学习。本文提出了一个在教师学习社区中围绕教学实践有重点、有针对性地促进富有成效的讨论的框架。我们从情境的角度出发,追溯了六位新手教师领导者的发展历程,他们在指导下领导在线协作课程设计小组,重点分析美国一个大型城区 K-8 数学教学的人工制品。我们的框架阐明了领导者是如何在教师的知识、经验和贡献的基础上,同时围绕专业学习目标促进讨论的。我们的分析还表明,随着时间的推移,导师、教师领导和每个小组的参与者是如何共同构建和维持丰富的学习机会的。通过对一个小组的叙事性描述,我们展示了教师参与者是如何在学习社区实践的同 时,开始自己承担一些促进实践的工作的。这种专业学习方法将教师的经验和知识视为重要资产,同时支持他们尝试和反思新的课堂 实践。
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引用次数: 0
Tensions as springboards to actions in a partnership between mathematics teachers and mathematics education researchers 在数学教师和数学教育研究人员的合作中,紧张关系是行动的跳板
IF 2.1 2区 教育学 Q1 EDUCATION & EDUCATIONAL RESEARCH Pub Date : 2024-08-25 DOI: 10.1007/s10857-024-09652-4
Mirela Widder, Michal Tabach, Boris Koichu

Research–practice partnerships around educational research may have beneficial outcomes but also present tensions. By considering the dynamics of manifested tensions, our study aims to understand how teachers engage with the various stages of the research in an inquiry-based professional development community consisting of eleven in-service teachers and three mathematics education researchers. In light of Heider's Balance Theory, we identify and analyze tensions expressed by teachers in the community discourse. Findings indicate that epistemic tensions related to teachers' and researchers' different cultural orientations act as powerful generators of inclusionary and exclusionary actions shaping community members' participation paths. While downplaying epistemic tensions can evoke individual actions detrimental to learning and destructive to the community's existence, awareness of and well-timed coping with tensions can become a springboard for community development.

围绕教育研究的研究与实践合作可能会产生有益的结果,但也会带来紧张关系。我们的研究旨在通过考虑显现的紧张关系的动态变化,了解教师如何参与由 11 名在职教师和 3 名数学教育研究人员组成的探究式专业发展社区中各个阶段的研究。根据海德的 "平衡理论",我们识别并分析了教师在社区话语中表达的紧张关系。研究结果表明,与教师和研究人员不同的文化取向相关的认识论紧张关系,是影响社区成员参与路径的包容和排斥行动的强大催化剂。淡化认识论紧张关系可能会引发不利于学习和破坏社区生存的个人行为,而意识到并适时应对紧张关系则可能成为社区发展的跳板。
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引用次数: 0
A transdisciplinary study of a novice mathematics teacher’s instructional decision-making 对数学新教师教学决策的跨学科研究
IF 2.1 2区 教育学 Q1 EDUCATION & EDUCATIONAL RESEARCH Pub Date : 2024-08-22 DOI: 10.1007/s10857-024-09653-3
Gosia Marschall, Steven Watson, Elizabeth Kimber, Louis Major

In this study, we examine the real-time decision-making processes of a teacher in a UK post-16 mathematics classroom focusing on the integration of student-centred teaching methods. The contribution of this study is a transdisciplinary theoretical discussion which links teachers’ actual classroom practices (often traditional and teacher centred) with their professed student-centred perspectives. Utilising Abductive Interpretive Phenomenological Analysis, this research incorporates cognitive, social psychological, sociocultural theory and perspectives on affect in the context of in-the-moment decisions. Through co-construction, we identify distinct but overlapping agentic and ecological dimensions of decisions. Recognising that teachers’ spontaneous decisions in the classroom are shaped by both their agency and the social and physical ecology of the classroom, this study provides a structured approach to understanding how diverse disciplinary concepts are related, and paints a dynamic picture of the process of teacher decision-making. This is crucial for identifying both limitations and possibilities in teacher education and professional development.

在本研究中,我们考察了一位教师在英国 16 岁后数学课堂上的实时决策过程,重点是如何整合以学生为中心的教学方法。本研究的贡献在于通过跨学科的理论探讨,将教师的实际课堂实践(通常是传统的、以教师为中心的课堂实践)与他们所宣称的以学生为中心的观点联系起来。本研究采用归纳解释现象学分析法,将认知、社会心理学、社会文化理论和情感观点纳入当下决策的背景中。通过共同建构,我们确定了决策的不同但相互重叠的代理和生态维度。本研究认识到,教师在课堂上的自发决策是由他们的能动性以及课堂的社会和自然生态共同决定的,因此,本研究提供了一种结构化的方法来理解不同学科概念之间的联系,并描绘了教师决策过程的动态画面。这对于确定教师教育和专业发展的局限性和可能性至关重要。
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引用次数: 0
Salience and feasibility of enacting rough draft math: Teachers’ voices about productive and powerful variations 实施数学粗草稿的显著性和可行性:教师对富有成效和强有力的变化的看法
IF 2.1 2区 教育学 Q1 EDUCATION & EDUCATIONAL RESEARCH Pub Date : 2024-08-17 DOI: 10.1007/s10857-024-09650-6
Amanda Jansen, Elena M. Silla, Crystal L. Collier

Rough draft math [RDM] (Jansen, 2020a) occurs when a teacher invites students to share their in-progress thinking and provides opportunities for students to revise their thinking. RDM could be viewed as an approach to ambitious teaching because it is a practice when teachers elicit and respond to students’ thinking to support their learning, which is productive, and their positive identity development, which is powerful. The purpose of this study was to identify salient and feasible enactments of rough draft math, as described by teachers after they have learned about RDM through a book study and/or professional development. We interviewed 32 teachers in eight states in the USA, and we identified variations among the two most feasible and salient enactments of RDM: (1) inviting students to revise and (2) purposeful task selection and implementation. Variations in revising enactments included providing students with structured or unstructured revision opportunities and different ways teachers incorporated revising into their assessment practices (either test corrections or student self-assessment). Variations in task selection included modifying curricular tasks or using instructional routines intentionally. Variations in task implementation included implementing tasks to reinforce content or develop new understandings. We developed conjectures about the ways in which these variations could provide powerful or productive opportunities for students.

当教师邀请学生分享他们正在进行的思考,并为学生提供修改思考的机会时,就会出现 "草稿数学"(Rough draft math,RDM)(Jansen,2020a)。RDM 可被视为一种雄心勃勃的教学方法,因为它是教师诱发和回应学生思维的一种做法,以支持学生的学习(这是富有成效的)和积极的身份发展(这是强有力的)。本研究的目的是确定教师在通过书籍学习和/或专业发展了解 RDM 之后所描述的数学初稿的显著性和可行性。我们对美国八个州的 32 位教师进行了访谈,发现了两种最可行、最突出的 RDM 实施方式之间的差异:(1)邀请学生修改;(2)有目的的任务选择和实施。修订方式的变化包括为学生提供有组织或无组织的修订机会,以及教师将修订纳入评价实践(考试更正或学生自评)的不同方式。任务选择的变化包括修改课程任务或有意使用教学常规。任务实施的变化包括实施任务以巩固内容或发展新的理解。我们就这些变化如何为学生提供有力或富有成效的机会进行了猜想。
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引用次数: 0
Developing practice-based educative mentoring with secondary mathematics mentor teachers 与中学数学辅导教师开展以实践为基础的教育辅导
IF 2.1 2区 教育学 Q1 EDUCATION & EDUCATIONAL RESEARCH Pub Date : 2024-07-21 DOI: 10.1007/s10857-024-09648-0
Sarah E. Kasten, Bethany A. Noblitt, Amy Bacevich

Experienced P-12 teachers play a crucial role in the learning of preservice mathematics teachers, though the preparation provided them can be inconsistent or even lacking. In this paper, we share two case studies of secondary mathematics teachers serving as mentor teachers as they engage in a professional development experience designed to shift both their mentoring practice and their perceptions of their roles as mentor teachers. To this end, we simultaneously leveraged Feiman-Nemser’s vision of educative mentoring and NCTM’s effective teaching practices to create a semester-long professional development opportunity focused on practice-based educative mentoring. Drawing on written reflections and video recorded planning and debriefing discussions between two sets of mentors and preservice teachers, we developed profiles of two mentor teachers as they refined their mentoring practice. Based on our findings, we suggest a set of key elements for a professional development framework for practice-based educative mentoring.

经验丰富的十二年级数学教师在职前数学教师的学习中发挥着至关重要的作用,尽 管他们所做的准备可能并不一致,甚至是缺乏的。在本文中,我们将分享两个案例研究,介绍中学数学教师作为指导教师参与专业发展体验的情况,旨在转变他们的指导实践和对指导教师角色的认识。为此,我们同时利用费曼-内泽尔(Feiman-Nemser)的教育指导愿景和美国国家数学教育委员会(NCTM)的有效教学实践,创造了一个为期一学期的专业发展机会,重点关注基于实践的教育指导。根据两组指导教师和职前教师之间的书面反思以及计划和汇报讨论的视频录像,我们对两位指导教师完善指导实践的过程进行了剖析。根据我们的研究结果,我们提出了一套基于实践的教育指导专业发展框架的关键要素。
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引用次数: 0
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Journal of Mathematics Teacher Education
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