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Evaluating the Influence of Instructional Approaches on the Mathematical Achievement of Immigrant Students 评估教学方法对移民学生数学成绩的影响
Pub Date : 2024-06-14 DOI: 10.31756/jrsmte.319si
Malihe Manzouri
As a teacher, my experiences revealed that although most Iranian new immigrant high school students had an excellent mathematical background, they faced difficulties in learning math after relocating to a school in Vancouver, BC. There are several reasons for this, and this article focuses on one of those. I conducted two series of interviews with seven Iranian new immigrant high school students to collect data. They studied in a Canadian school and had also learned math in an Iranian high school. Participants pointed to different math teachers' methods as a reason why learning math in Canada differs from Iran. Canadian math teachers give students the authority to decide on how and when to finish their math work. These students are not familiar with this authority, and they do not know how to plan for their math education. They need support as they learn how to make decisions and be more autonomous.
作为一名教师,我的经验表明,虽然大多数伊朗新移民高中学生都有很好的数学背景,但他们在搬迁到不列颠哥伦比亚省温哥华的一所学校后,在数学学习方面却遇到了困难。造成这种情况的原因有几个,本文主要讨论其中的一个。为了收集数据,我对七名伊朗新移民高中生进行了两次系列访谈。他们曾在加拿大学校学习,也曾在伊朗高中学习数学。参与者指出,数学老师的教学方法不同是加拿大数学学习与伊朗不同的原因。加拿大数学教师授权学生决定如何以及何时完成数学作业。这些学生并不熟悉这种权力,也不知道如何规划自己的数学教育。他们在学习如何做出决定和更加自主的过程中需要支持。
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引用次数: 0
Mathematics Graduate Students’ Teacher Identity Development: Examining Roles Within the Teaching Assistant Position 数学研究生的教师身份发展:考察助教职位中的角色
Pub Date : 2024-06-13 DOI: 10.31756/jrsmte.316si
T. R. Olarte, Micah Swartz, Sarah A. Roberts
The ways that serving as a teaching assistant (TA) influences the teacher identity development of mathematics graduate students is still a largely undertheorized area of postsecondary mathematics education research. Drawing on sociocultural theories and role identity theories, we qualitatively examined how interactions within the mathematics TA position prompted graduate students to take up a multitude of role identities. We found that different interactions uniquely positioned participants to assume roles, such as instructor, supporter, mentor, and learner. Some role identities were only situated within specific interactions, while others were evident across multiple interactions. Teacher identity is a complex, multidimensional construct, and we found that serving as a TA supported the teacher identity development of mathematics graduate students through opportunities to take up a myriad of role identities. Understanding the nuances and complexities of the identities and experiences of mathematics graduate students can equip mathematics departments and higher education institutions to better support their transition to the mathematics professoriate.
担任助教(TA)如何影响数学研究生的教师身份发展,这仍然是中学后数学教育研究中一个理论化程度很低的领域。借鉴社会文化理论和角色认同理论,我们对数学助教岗位上的互动如何促使研究生承担多种角色认同进行了定性研究。我们发现,在不同的互动中,参与者会扮演不同的角色,如指导者、支持者、导师和学习者。有些角色身份只存在于特定的互动中,而另一些则在多次互动中都很明显。教师身份是一个复杂的、多维的概念,我们发现,担任助教有助于数学研究生的教师身份发展,因为他们有机会扮演各种角色。了解数学研究生身份和经历的细微差别和复杂性,可以让数学系和高等教育机构更好地支持他们向数学教授的过渡。
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引用次数: 0
Defining Spatial Reasoning: A Content Analysis to Explicate Spatial Reasoning Skills for Early Childhood Educators’ Use 定义空间推理:阐述空间推理技能的内容分析,供幼儿教育工作者使用
Pub Date : 2024-06-13 DOI: 10.31756/jrsmte.317si
Robyn K Pinilla
Spatial reasoning is critical for mathematics learning and achievement, and its comprising skills are necessary in science, technology, engineering, and mathematics careers. To support young children in learning to reason spatially, clear definitions of the construct and supports for early childhood educators to teach the skills are needed. This study defines spatial reasoning as a comprehensive, comprehensible framework of skills. Using problem-driven content analysis, 835 text units from 103 sources, plus definitions from two reputable dictionary sources, were used to adopt, adapt, and infer the definitions for 40 terms that collectively represent spatial reasoning. Findings provide both the definitions and evidence of the extent to which various spatial reasoning skills have been investigated empirically. Directions for future research are discussed, including the need to refine the framework to ensure its utility for teachers and researchers.
空间推理对数学学习和成绩至关重要,其所包含的技能是科学、技术、工程和数学职业所必需的。为了支持幼儿学习空间推理,需要对空间推理进行明确的定义,并支持幼儿教育工作者教授空间推理技能。本研究将空间推理定义为一个全面、可理解的技能框架。通过问题驱动的内容分析,采用 103 个来源的 835 个文本单元,加上两个著名字典来源的定义,采用、调整和推断了 40 个术语的定义,这些术语共同代表了空间推理能力。研究结果提供了各种空间推理技能的定义和实证调查程度。研究还讨论了未来的研究方向,包括完善该框架的必要性,以确保其对教师和研究人员的实用性。
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引用次数: 0
Novel Representations of the Experiences of Calculus I Students’ Participation in the Parallel Spaces of Coursework and Complementary Instruction 微积分 I 学生参与课程作业和补充教学平行空间的新经验表述
Pub Date : 2024-06-13 DOI: 10.31756/jrsmte.318si
Karmen Tracy Yu, Steven Greenstein
Calculus has long been known for its "gatekeeping" role in postsecondary students' pursuit of STEM careers. In addressing this pressing issue, researchers at Montclair State University developed a model of peer-led complementary instruction to engage Calculus I students in small-group, collaborative problem solving on inquiry-oriented, groupworthy tasks. This work comes from a multiple-case study that sought to address the question, “How do undergraduate students experience and navigate their calculus learning in the parallel spaces of coursework and inquiry-oriented complementary instruction?” The analytic representations that were constructed to represent the findings of that study are presented here. Those findings include characterizations of the different forms of Calculus I students’ agentive participation and the figured worlds of class and complementary instruction. The analytic representations depict those findings in the form of word clouds and Venn diagrams. The analytical representations of “Victor’s” participation are presented and discussed here, and an argument is made for their particular representational power and efficiency. As such, this work seeks to make a methodological contribution to education research that seeks to characterize the nature of participation by the actors in figured worlds.
长期以来,微积分一直因其在中学后学生从事 STEM 职业方面的 "把关 "作用而闻名。为了解决这个紧迫的问题,蒙特克莱尔州立大学的研究人员开发了一种同伴互补教学模式,让微积分 I 的学生以小组合作的方式参与到以探究为导向、适合小组合作的任务中,共同解决问题。这项工作来自于一项多案例研究,该研究试图解决这样一个问题:"本科生如何在课程作业和探究导向的补充教学的平行空间中体验和驾驭微积分学习?本文介绍了为体现该研究结果而构建的分析表征。这些发现包括微积分 I 学生不同形式的代理参与以及课堂和补充教学的图解世界的特征。分析表述以词云和维恩图的形式描述了这些发现。本文对 "维克多 "参与的分析表述进行了介绍和讨论,并对其特殊的表述能力和效率进行了论证。因此,这项工作旨在为教育研究做出方法论上的贡献,以描述图示世界中行动者参与的性质。
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引用次数: 0
Global Competency Integration in STEAM Fields in Higher Education 将全球能力纳入高等教育中的 STEAM 领域
Pub Date : 2024-06-04 DOI: 10.31756/jrsmte.315si
Lori Jean Bushey
The concept of Global Competency (GC) has a growing presence in many collegiate mission statements in the United States. This interconnected, multidisciplinary approach coincides with that of the concept of Science, Technology, Engineering, Arts, and Mathematics (STEAM) education. The focus of this study was to identify what extent GC is present in the classrooms and curriculums, as well as the implementation methods higher education instructors observe and / or utilize in their STEAM field programs. The participants in this study were STEAM-field instructors at higher education institutions in the United States in which GC or an equivalent term is located in their mission or strategic plan. Seventy-six instructors from the midwestern United States completed a survey to generate a GC integration score, and 13 of those also participated in an interview. The quantitative analysis identified a statistically significant difference between the integration scores of Arts and Science instructors and Arts and Engineering instructors. Qualitative analysis identified curriculum and instruction-based strategies of successful integration, common barriers to integration, and the sentiment that integration varies greatly from a regional and sometimes institution-wide setting. The findings of this study can help standardize the concept and integration of GC in higher education as well as provide curriculum developers and administrators with a look at how GC is represented in the current climate of higher education.
全球胜任力(Global Competency,GC)这一概念在美国许多大学的使命宣言中越来越多地出现。这种相互关联的多学科方法与科学、技术、工程、艺术和数学(STEAM)教育的概念不谋而合。本研究的重点是确定 GC 在课堂和课程中的存在程度,以及高等教育导师在其 STEAM 实地项目中观察和/或使用的实施方法。本研究的参与者是美国高等教育机构的 STEAM 实地指导教师,这些机构的使命或战略计划中包含 GC 或类似术语。来自美国中西部的 76 名教师完成了一项调查,以得出 GC 整合得分,其中 13 人还参加了访谈。定量分析发现,文科和理科教员与文科和工科教员的整合得分在统计上存在显著差异。定性分析确定了成功整合的课程和教学策略、整合的常见障碍,以及整合在地区和机构范围内存在巨大差异的观点。这项研究的结果有助于在高等教育中规范全球通用课程的概念和整合,并为课程开发者和管理者提供了在当前高等教育环境中如何体现全球通用课程的信息。
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引用次数: 0
Investigating Pedagogies in Undergraduate Precalculus and their Relationships to Students’ Attitudes Towards Mathematics and Perseverance in Problem-Solving 调查本科生微积分预科教学法及其与学生数学态度和解决问题毅力的关系
Pub Date : 2024-06-01 DOI: 10.31756/jrsmte.314si
Amy Daniel, Joseph DiNapoli
This exploratory study investigated the relationships between professors’ enactments of a research-based precalculus curriculum (Pathways) and changes observed in students’ attitudes towards mathematics and perseverance in problem-solving. While much research focuses on improving student achievement in undergraduate STEM courses, it is also important to support students in developing the positive dispositions and practices needed to sustain them through years of mathematics-based STEM coursework. We therefore investigated the way three professors implemented Pathways, assessing via observation their pedagogical choices across three Pathways-aligned dimensions; we also investigated the changes in attitudes and perseverance of students in these professors’ classes. Our results suggest that although the Pathways precalculus curriculum may support the development of positive attitudes toward mathematics and improved perseverance in problem-solving, this potential is influenced by professors’ pedagogical choices. This research helps us better understand the connections between pedagogies enacted in STEM-gateway courses and students’ development of productive ways of engaging with mathematics.
这项探索性研究调查了教授实施基于研究的微积分先修课程(Pathways)与学生对数学的态度和解决问题的毅力的变化之间的关系。虽然许多研究都侧重于提高学生在本科 STEM 课程中的成绩,但同样重要的是支持学生发展所需的积极心态和实践,使他们能够在多年的数学 STEM 课程学习中保持下去。因此,我们调查了三位教授实施 "路径 "的方式,通过观察评估了他们在三个与 "路径 "相一致的维度上的教学选择;我们还调查了这些教授课堂上学生态度和毅力的变化。我们的研究结果表明,虽然 "路径 "微积分前期课程有助于培养学生对数学的积极态度和解决问题的毅力,但这种潜力受到教授教学选择的影响。这项研究有助于我们更好地理解STEM-gateway课程中采用的教学法与学生发展参与数学的有效方式之间的联系。
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引用次数: 0
Seeing Through the Eyes of Classroom Observers: The Case of Rating Contrasted Groups of Lessons With Classroom Observation Measures 通过课堂观察者的眼睛看问题:用课堂观察指标对对比的课程组进行评分的案例
Pub Date : 2024-05-09 DOI: 10.31756/jrsmte.723
Kathleen Lynch
Classroom observations are commonly employed to assess quality of instruction in research and practice in mathematics education. However, there is more to be learned about how sensitive classroom observation protocols are to exemplars of strong mathematics instruction, and continuous refinements to observation protocols or rating processes that may be warranted. In this study, we use the public-released mathematics videos from the Third International Mathematics and Science Study (TIMSS) to examine how classroom observers, using two contemporary classroom observation instruments, rate a set of lessons whose instructional quality is in theory expected to differ, also referred to as contrasted groups. We find that descriptively, the pattern of findings is distinct from prior studies’ conclusions about the relative instructional quality reflected in the TIMSS video pool. We provide qualitative examples to illustrate the findings, and discuss implications for future research. We point to the potential value of exploring classroom observation rubrics’ performance using ‘contrasted groups’ of lesson videos, as a tool to broaden our understanding of how observation instruments are functioning.
在数学教育的研究和实践中,通常采用课堂观察来评估教学质量。然而,对于课堂观察方案对优秀数学教学范例的敏感度如何,以及观察方案或评级过程可能需要不断改进等问题,我们还有更多需要了解的地方。在本研究中,我们利用第三次国际数学与科学研究(TIMSS)公开发布的数学视频,研究课堂观察者如何使用两种当代课堂观察工具,对理论上预期教学质量不同的一组课程(也称为对比组)进行评分。我们发现,从描述性角度看,研究结果的模式与之前研究对 TIMSS 视频库中反映的相对教学质量的结论截然不同。我们提供了定性实例来说明研究结果,并讨论了对未来研究的影响。我们指出,使用 "对比组 "的课程视频来探索课堂观察评分标准的性能具有潜在的价值,它可以作为一种工具,拓宽我们对观察工具如何发挥作用的理解。
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引用次数: 0
A Pilot Study of Supporting GTA Professional Development and Educator Identity in Engineering 支持一般教员专业发展和工程学教育者身份认同的试点研究
Pub Date : 2024-04-13 DOI: 10.31756/jrsmte.722
Gökçe Akçayir, Janelle McFeetors, Mijung Kim, Kerry Rose, Marnie V. Jamieson, Kristian Basaraba, Q. Jin, Duncan Buchanan
Graduate teaching assistants (GTAs) significantly contribute to the learning and experiences of undergraduate students. Thus, supporting and enhancing GTA pedagogical knowledge and competencies can improve the learning experiences of undergraduates. Towards this goal, a discipline-specific pedagogical professional development program was created for GTAs in the Faculty of Engineering at a Canadian university. This case study explores the perspectives of participating GTAs, including how they engaged in learning about teaching, what they learned, their emerging educator identity formation, and the challenges they faced during the program. Situated learning theory informed the analysis of participant interviews and focus groups. Findings indicate that GTAs appreciated the situated and embedded nature of the program, reporting limited prior familiarity with pedagogical tools and practices and their application. Results also highlight the need to align GTA roles and responsibilities, providing opportunities to put their learning into practice with the pedagogical knowledge they developed in the program.
研究生助教(GTAs)对本科生的学习和经历做出了重要贡献。因此,支持和提高研究生助教的教学知识和能力可以改善本科生的学习体验。为了实现这一目标,加拿大一所大学为工程学院的 GTA 制定了一项针对具体学科的教学法专业发展计划。本案例研究探讨了参与项目的一般教职员工的观点,包括他们是如何参与教学学习的、他们学到了什么、他们正在形成的教育者身份以及他们在项目期间面临的挑战。情景学习理论为分析参与者访谈和焦点小组提供了依据。研究结果表明,普通高中教师非常欣赏该项目所具有的情景学习和嵌入式学习的性质,并表示之前对教学工具和实践及其应用的熟悉程度有限。研究结果还强调,有必要调整一般教职员工的角色和职责,为他们提供机会,将他们在项目中学习到的教学知识付诸实践。
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引用次数: 0
Difficulty-Generating Features of Text-based Physics Tasks 基于文本的物理任务的难度生成特征
Pub Date : 2024-04-10 DOI: 10.31756/jrsmte.721
Knut Schwippert, Kendra Zilz, Dietmar Hoettecke
Influencing the difficulty of performance tasks is of great interest in science education as in several other subjects. In the context of the VAMPS project, difficulty-generating features with respect to the cognitive demand of text-based physics tasks were systematically varied at three levels. Based on preliminary work and two pilot studies presented here briefly, a model was developed by which cognitive requirement was varied according to three features. The viability of this model was empirically tested with a sample of n = 414 secondary school students. The feature cognitive activity proved to be a significant factor influencing the empirically measured difficulty of tasks. With the help of the feature number of information obtained from task stem and number of subject-specific mental procedures, no systematic influence on task difficulty could be shown. The influence of the test persons’ individual prior knowledge on the actual task difficulty is generally assumed to be a confounding factor. Overall, the present study contributes to a better understanding of construct representation in assessments of subject-specific proficiency and empirically confirms that a systematic variation of the task feature cognitive activity on three levels affects task difficulty
在科学教育中,影响成绩任务的难度和其他一些学科一样,是一个非常重要的问题。在 VAMPS 项目的背景下,对基于文本的物理任务的认知要求的难度产生特征进行了三个层次的系统变化。在初步工作和本文简要介绍的两项试点研究的基础上,建立了一个根据三个特征改变认知要求的模型。该模型的可行性通过 n = 414 名中学生样本进行了实证检验。事实证明,认知活动特征是影响实证测量任务难度的一个重要因素。在从任务题干中获取的信息特征数量和特定主题心理过程数量的帮助下,无法显示出对任务难度的系统性影响。一般认为,受测者的个体先验知识对实际任务难度的影响是一个混杂因素。总之,本研究有助于更好地理解特定学科能力评估中的建构表征,并从经验上证实了任务特征认知活动在三个层面上的系统性变化会影响任务难度
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引用次数: 0
Improving STEM Education through Resource Activation: A Study of Culturally Relevant Teaching for Critical Data Literacy in a High School Science Classroom 通过激活资源改善 STEM 教育:高中科学课堂中关键数据素养的文化相关教学研究
Pub Date : 2024-03-13 DOI: 10.31756/jrsmte.311si
Jooeun Shim, Susan Yoon
Interest in promoting data literacy among K-12 students has grown, driven by the need to cultivate skills in using data effectively across various fields of study. Integrating discipline-specific curricula, like bioinformatics, which merges biology and informatics, can broaden student engagement in STEM. While earlier efforts focused on technical data skills, recent research emphasizes a sociocultural approach to encourage critical data literacy, aligning with culturally relevant teaching (CRT). This study investigates a teacher's instructional practices for CRT in prompting critical data literacy. We used a resource activation framework that aims to explore the ways in which a teacher utilized material resources (tangible objects and tools), cultural resources (knowledge and skills), social resources (interactions and relationships), and symbolic resources (recognition and prestige). We worked with a science teacher, Tracy, who activated resources to adapt and teach a bioinformatics problem-based learning curriculum rooted in real-world problem-solving in STEM, connecting students with community issues, such as asthma and air quality. We deductively analyzed classroom observation notes, interviews, and recordings of the professional development workshop sessions. We found that during the curriculum implementation, Tracy activated cultural and social resources to enable access to other resources that were not readily available. Our findings suggest that the activation of cultural and social resources concurrently allowed the teacher to address diverse student needs, foster relevance and engagement, collaborate with colleagues, and continuously enhance their teaching practices. Ultimately, activating all four resources empowers teachers to provide high-quality instruction, leading to improved overall STEM education.
由于需要培养各学科领域有效使用数据的技能,K-12 学生对提高数据素养的兴趣与日俱增。整合特定学科的课程,如生物信息学(融合了生物学和信息学),可以扩大学生对 STEM 的参与。早期的研究侧重于技术数据技能,而最近的研究则强调采用社会文化方法来鼓励关键数据素养,这与文化相关教学(CRT)相一致。本研究调查了一位教师在促进批判性数据素养方面的 CRT 教学实践。我们采用了资源激活框架,旨在探索教师利用物质资源(有形物品和工具)、文化资源(知识和技能)、社会资源(互动和关系)以及象征资源(认可和声望)的方式。我们与科学教师特蕾西合作,她利用各种资源改编并教授生物信息学基于问题的学习课程,该课程植根于科学、技术、工程和数学领域的实际问题解决,将学生与哮喘和空气质量等社区问题联系起来。我们对课堂观察记录、访谈和专业发展研讨会的录音进行了演绎分析。我们发现,在课程实施过程中,特蕾西激活了文化和社会资源,以便获得其他不易获得的资源。我们的研究结果表明,文化和社会资源的同时激活使教师能够满足不同学生的需求,促进相关性和参与性,与同事合作,并不断改进他们的教学实践。最终,激活所有这四种资源能够增强教师提供高质量教学的能力,从而改善整个 STEM 教育。
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引用次数: 0
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Journal of Research in Science, Mathematics and Technology Education
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