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Analyzing elementary students’ access to cognitive-oriented positions in mathematics 分析小学生进入数学认知导向阵地的情况
IF 0.6 Pub Date : 2024-02-10 DOI: 10.29333/iejme/14191
Tye G. Campbell, Haleigh Sears
The effectiveness of group problem-solving in mathematics depends on the extent to which meaningful participation is distributed across all group members. One way to explore how participation is distributed within groups is by examining how students are positioned within group interactions. In this study, we explore the social instructional factors that cause elementary students to move in and out of positions that support cognitive engagement during collaborative problem-solving in mathematics. Using a case study analysis of three elementary students working in a group, we found five social instructional factors that caused students to move in and out of cognitive-oriented positions during group work in mathematics: (1) building an ally through common language, (2) physical access to the chalkboard and resources, (3) tone of voice, (4) teacher intervention, and (5) contestation from peers. The findings promote implications for effectively facilitating group work in mathematics.
数学小组问题解决的有效性取决于有意义的参与在小组所有成员中的分布程度。探究小组内参与分布情况的一种方法是研究学生在小组互动中的位置。在本研究中,我们探讨了导致小学生在合作解决数学问题的过程中进入和退出支持认知参与的位置的社会教学因素。通过对三名小学生小组合作的案例研究分析,我们发现了导致学生在数学小组合作过程中进出认知导向位置的五个社会教学因素:(1) 通过共同语言建立盟友关系;(2) 实际接触黑板和资源的机会;(3) 说话的语气;(4) 教师干预;(5) 来自同伴的质疑。研究结果为有效促进数学小组合作学习提供了启示。
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引用次数: 0
Elementary teachers’ use of adaptive diagnostic assessment to improve mathematics teaching and learning: A case study 小学教师利用适应性诊断评估改进数学教学:案例研究
IF 0.6 Pub Date : 2024-02-10 DOI: 10.29333/iejme/14190
Dalal H. Alfageh, Cindy S. York, Angie Hodge-Zickerman, Ying Xie
This case study examined teachers’ perceptions and use of adaptive diagnostic assessment for improving teaching and learning of elementary-level mathematics. The purpose was to understand how the teaching and learning of mathematics occurred in the classroom and changes that transpired due to the implementation of diagnostic assessments. Findings illustrate that diagnostic assessment can be a critical tool for improving pedagogical practice by enhancing mathematics teaching and learning by creating groups of students, planning lesson time, focused pedagogy, giving student feedback, communicating with stakeholders, and improving teacher efficiency. Participants demonstrated satisfaction with the benefits offered by diagnostic assessment for improving mathematics teaching and learning. Participants described challenges that hindered their effective use of diagnostic assessment tools. The findings of this study support a case for the adoption of diagnostic assessments to improve pedagogical practice and promote mathematics learning among elementary-level students.
本案例研究考察了教师对适应性诊断评估的看法和使用情况,以改进小学数学的教与学。研究的目的是了解数学教学在课堂上是如何进行的,以及因实施诊断性评估而发生的变化。研究结果表明,诊断性评估可以作为改进教学实践的重要工具,通过建立学生小组、规划课时、集中教学法、给予学生反馈、与利益相关者沟通以及提高教师效率来加强数学教学。学员们对诊断性评价在改进数学教学方面所带来的益处表示满意。参与者描述了阻碍他们有效使用诊断性评估工具的挑战。本研究的结果支持采用诊断性评估来改进教学实践,促进小学生的数学学习。
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引用次数: 0
Pre-service teachers and ChatGPT in multistrategy problem-solving: Implications for mathematics teaching in primary schools 多策略问题解决中的职前教师和 ChatGPT:对小学数学教学的启示
IF 0.6 Pub Date : 2024-01-23 DOI: 10.29333/iejme/14141
S. Getenet
This study compared the problem-solving abilities of ChatGPT and 58 pre-service teachers (PSTs) in solving a mathematical word problem using various strategies. PSTs were asked to solve a problem individually. Data was collected from PSTs’ submitted assignments, and their problem-solving strategies were analyzed. ChatGPT was also given the same problem to solve with various prompts, and the correctness of its solutions and problem-solving strategies were assessed alongside those of PSTs. The results indicated that PSTs used diverse strategies and achieved accurate solutions, but not always relevant strategies to children’s level of understanding. ChatGPT employed similar strategies to PSTs but mostly produced incorrect solutions, and its performance needed to be contextualized in the primary school context. The study highlights the potential of ChatGPT in mathematics teaching and informs teacher education programs about the possibility of using it in teaching problem-solving strategies.
本研究比较了 ChatGPT 和 58 名职前教师(PSTs)使用各种策略解决数学文字问题的能力。要求职前教师单独解决问题。我们从职前教师提交的作业中收集了数据,并对他们的解题策略进行了分析。此外,还向 ChatGPT 提出了同样的问题,并给出了不同的提示,在评估 PST 的解题方法和解题策略的正确性的同时,也评估了 ChatGPT 的解题方法和解题策略。结果表明,PSTs 使用了多种策略并获得了准确的解决方案,但并不总是采用与儿童理解水平相关的策略。ChatGPT 采用了与 PST 相似的策略,但大多产生了错误的解决方案,而且其表现需要结合小学的具体情况。本研究强调了 ChatGPT 在数学教学中的潜力,并为教师教育课程提供了使用 ChatGPT 教授问题解决策略的可能性。
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引用次数: 0
Integrating the anthropological theory of didactics in multivariate calculus education: Challenges, pedagogical shifts, and innovative activities 将人类学教学理论融入多元微积分教育:挑战、教学转变和创新活动
IF 0.6 Pub Date : 2024-01-23 DOI: 10.29333/iejme/14142
J. Díaz
The anthropological theory of didactics (ATD) provides a lens to view mathematics education by placing mathematical practices within socio-cultural and historical contexts. The significance of institutions, in what regards with educational establishments, societal structures, cultural norms, and historical contexts, influences the perception and practice of mathematics in both students and teachers. This perspective is relevant for understanding the complexities of teaching multivariate calculus. Traditional approaches to this subject have been lecture-based, but with the evolution of educational paradigms, active pedagogies have emerged as vital. These include among others inquiry-based learning, collaborative learning, the flipped classroom approach, technology-enhanced active learning, and project-based learning. The challenges students face in multivariate calculus range from conceptual complexities to visualization challenges and over-reliance on memorization. In this work, we propose a holistic approach for defining class activities in multivariate calculus with emphasis in integrating visualization techniques, real-world applications, collaborative activities, and feedback mechanisms. Accordingly, four class activities, grounded in the principles of ATD and tailored to address challenges in multivariate calculus, are proposed. These activities aim to foster significant understanding, relevance, and engagement in students.
人类学教学理论(ATD)将数学实践置于社会文化和历史背景中,为数学教育提供了一个视角。在教育机构、社会结构、文化规范和历史背景方面,机构的重要性影响着学生和教师对数学的认识和实践。这一视角有助于理解多元微积分教学的复杂性。该学科的传统教学方法以讲授为主,但随着教育范式的演变,积极的教学法已变得至关重要。其中包括探究式学习、协作式学习、翻转课堂教学法、技术强化式主动学习和项目式学习等。学生在多元微积分学习中面临的挑战包括概念复杂性、可视化挑战和过度依赖记忆。在这项工作中,我们提出了一种定义多元微积分课堂活动的整体方法,重点是整合可视化技术、实际应用、协作活动和反馈机制。因此,我们提出了四种课堂活动,它们以 ATD 原则为基础,并针对多元微积分学中的挑战而量身定制。这些活动旨在培养学生的理解力、相关性和参与度。
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引用次数: 0
Progressive mathematics of functions in secondary school students using a free-fall activity 利用自由落体活动逐步提高中学生的函数数学能力
IF 0.6 Pub Date : 2024-01-05 DOI: 10.29333/iejme/14108
Rosa Isela González-Polo, Apolo Castaneda
This article aims to analyze the process of the progressive mathematization of the concept of the function by secondary school students through the resolution of a free fall situation. A free-fall mathematical situation was designed and experimented using the Tracker software to obtain movement data. Worksheets and conversations were collected between students and the teacher, and experiments and class discussions were filmed. The analysis consisted of identifying the development from informal strategies associated with the context of the problem to formal procedures. The results show that the process brings meanings to mathematical ideas such as variation, variables, and the relationship between variables, allows coordination and transition between representations and contributes to the learning of functions as a representation of the variation of physical phenomena.
本文旨在分析中学生通过解决自由落体情境逐步数学化函数概念的过程。我们设计了一个自由落体数学情境,并使用 Tracker 软件进行实验,以获取运动数据。收集了工作表和学生与教师之间的对话,并对实验和课堂讨论进行了录像。分析包括确定从与问题背景相关的非正式策略到正式程序的发展过程。结果表明,这一过程为数学思想(如变异、变量和变量之间的关系)带来了意义,允许表征之间的协调和过渡,并有助于学习作为物理现象变异表征的函数。
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引用次数: 0
Language demands in undergraduate mathematics courses 本科数学课程的语言要求
IF 0.6 Pub Date : 2024-01-01 DOI: 10.29333/iejme/13904
M. Bratkovich, Jane Harvey, Katherine M. Hellmann, Kimberly A. Cooper
This study examines language demands in undergraduate university mathematics classes with a view to better preparing and supporting international and other culturally and linguistically diverse (CLD) students in the United States universities. We observed and analyzed the language demands of 13 entry-level mathematics classes across two large universities. Findings showed that mathematics instruction required extensive and varied listening skills requiring students to listen to long and uninterrupted stretches of sometimes fast paced speech. Technical vocabulary contributed to the language demands, but instructors used both academic and colloquial varieties of language in instruction, interweaving mathematical nouns with phrasal verbs to explain mathematical processes. We suggest a greater focus on development of academic listening skills in English language classes as well as potential collaboration with mathematics campus resources and faculty for additional student support for preparing CLD students for potential future discourse practices.
本研究探讨了大学本科数学课的语言需求,以期更好地培养和支持美国大学中的国际学生和其他文化与语言多元化(CLD)学生。我们观察并分析了两所大型大学 13 门入门级数学课的语言要求。研究结果表明,数学教学需要学生掌握广泛而多样的听力技能,要求他们长时间、不间断地聆听有时节奏很快的讲话。技术词汇对语言的要求较高,但教师在教学中同时使用学术语言和口语,将数学名词与短语动词交织在一起解释数学过程。我们建议在英语课堂上更加注重培养学生的学术听力技能,并与数学校园资源和教师开展潜在合作,为中文科学生提供额外的学生支持,帮助他们为未来可能的话语实践做好准备。
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引用次数: 0
Formation and development of mathematical concepts: Elements for research and teaching 数学概念的形成与发展:研究和教学要素
IF 0.6 Pub Date : 2024-01-01 DOI: 10.29333/iejme/14023
Armando Morales-Carballo, Miguel Díaz Cárdenas, Angie Damián Mojica
This article presents a theoretical-didactic perspective on the formation and development of concepts concerning mathematical objects as a result of research on didactic difficulties in dealing with concepts in school. The theoretical foundation that supports the research is based on the contributions of the materialist approach to the theory of knowledge. Specifically, an interpretation of its application in the teaching of mathematics is under investigation, specifically in the process of formation and development of concepts in the field of Euclidean geometry. However, the elements that are derived are essential for the treatment of concepts in any sub-branch of mathematics. The analysis of this process and the factors that influence the development show some fundamental elements to consider in the research activity in the field of mathematics education.
本文从理论-教学的角度阐述了有关数学对象的概念的形成和发展,这是对学校处理概念的教学困难进行研究的结果。支持这项研究的理论基础是唯物主义知识理论方法的贡献。具体地说,我们正在研究其在数学教学中的应用,特别是在欧几里得几何概念的形成和发展过程中的应用。然而,得出的要素对于处理任何数学分支中的概念都是至关重要的。对这一过程和影响其发展的因素的分析表明,在数学教育领域的研究活动中需要考虑一些基本要素。
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引用次数: 0
Online game-based learning in mathematics education among Generation Z: A systematic review Z 世代数学教育中的在线游戏式学习:系统性综述
IF 0.6 Pub Date : 2024-01-01 DOI: 10.29333/iejme/14024
Riyan Hidayat, Tay Ying Qi, Putri Nur’afrina Binti Tajul Ariffin, Mohamad Hafizullah Bin Mohd Hadzri, Lin Mei Chin, Jacqueline Lee Xuan Ning, Nurihan Nasir
In contemporary education, game-based learning (GBL) has become a captivating instructional method applied across various academic subjects, including mathematics. The utilization of online GBL in mathematics education constitutes a segment of the activities that mathematics educators can employ during their lessons to teach students and enhance their educational progress. The primary goal of this study was to examine recent research endeavors involving the use of online GBL in mathematics education for Generation Z cohort. To achieve this objective, a systematic review (SR) was carried out to investigate the types of online games employed, analyze previous research methodologies, and explore the educational contexts relevant to mathematics education that align with the needs of Generation Z. An SR process was conducted to gather relevant articles from three databases, namely Science Direct, Scopus, and Springer. Full-text articles were meticulously assessed based on predetermined eligibility criteria. The review revealed many online games suitable for mathematics education, including Augmented Reality, Digital Inquiry Game, E-Rebuild, Math-Island Game, NanoRoboMath, Quizizz, and Wuzzit Trouble. The incorporation of online games in mathematics education offers numerous advantages.
在当代教育中,基于游戏的学习(GBL)已成为一种令人着迷的教学方法,应用于包括数学在内的各个学科。在线 GBL 在数学教育中的应用,是数学教育工作者在教学过程中可以采用的一种教学活动,可以提高学生的学习成绩。本研究的主要目标是考察近期针对Z世代群体的数学教育中使用在线GBL的研究成果。为实现这一目标,我们进行了系统性回顾(SR),以调查所使用的在线游戏类型,分析以往的研究方法,并探索与数学教育相关的、符合 Z 世代需求的教育背景。研究人员从三个数据库(Science Direct、Scopus 和 Springer)中收集了相关文章。根据预先确定的资格标准,对全文文章进行了细致的评估。审查发现了许多适合数学教育的在线游戏,包括增强现实(Augmented Reality)、数字探究游戏(Digital Inquiry Game)、E-Rebuild、数学岛游戏(Math-Island Game)、NanoRoboMath、Quizizz 和 Wuzzit Trouble。将网络游戏纳入数学教育具有诸多优势。
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引用次数: 0
Flipped dialogic learning method with ChatGPT: A case study 使用 ChatGPT 的翻转式对话学习法:案例研究
IF 0.6 Pub Date : 2024-01-01 DOI: 10.29333/iejme/14025
Nataliya Hristova Pavlova
This article presents a case study and ideas to flip classical dialogic learning method. Some possibilities of using ChatGPT to stimulate the active role of the student in the dialogic teaching method are shown. Data from observations of students training to be teachers of mathematics and informatics in their work with artificial intelligence (AI) are presented. A model for the application of the flipped dialogue in the education of students is proposed. An example of dialogue is given. The study concludes that that the main advantages of using flipped dialog learning with AI are easy access to the platforms, the lack of stress and stimulating the research qualities of students when searching for specific information or stimulating the system to make mistakes. The ability to ask the right leading questions and to detect the gaps of the “interlocutor” are important competencies applicable in dealing with life’s problems.
本文介绍了一个案例研究和翻转经典对话学习法的想法。文章展示了使用 ChatGPT 在对话式教学法中激发学生积极作用的一些可能性。文章还介绍了对接受数学和信息学教师培训的学生在人工智能(AI)工作中的观察数据。提出了在学生教育中应用翻转对话的模式。给出了一个对话实例。研究得出结论,利用人工智能进行翻转对话学习的主要优势在于:易于使用平台、没有压力,以及在搜索特定信息或刺激系统出错时激发学生的研究素质。提出正确的引导性问题和发现 "对话者 "的不足之处是处理生活问题的重要能力。
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引用次数: 0
Measuring students’ conceptual understanding of real functions: A Rasch model analysis 衡量学生对实变函数概念的理解:Rasch 模型分析
IF 0.6 Pub Date : 2024-01-01 DOI: 10.29333/iejme/13942
Anela Hrnjičić, Adis Alihodžić
Understanding the concepts related to real function is essential in learning mathematics. To determine how students understand these concepts, it is necessary to have an appropriate measurement tool. In this paper, we have created a web application using 32 items from conceptual understanding of real functions (CURF) item bank. We conducted a psychometric analysis using Rasch model on 207 first-year students. The analysis showed that CURF is a dependable and valid instrument for measuring students’ CURF. The test is uni-dimensional; all items are consistent with the construct and have excellent item fit statistics. The results indicate that the items are independent of each other and unbiased towards the gender and high school background of the students.
理解与实变函数有关的概念对数学学习至关重要。要确定学生是如何理解这些概念的,就必须有一个合适的测量工具。在本文中,我们使用实函数概念理解(CURF)题库中的 32 个项目创建了一个网络应用程序。我们使用 Rasch 模型对 207 名一年级学生进行了心理测量分析。分析结果表明,CURF 是测量学生 CURF 的可靠而有效的工具。该测验是单维度的;所有项目都与建构相一致,并具有出色的项目拟合统计量。结果表明,各项目相互独立,与学生的性别和高中背景无偏见。
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引用次数: 0
期刊
International Electronic Journal of Mathematics Education
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