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Revisiting the Relationship of Arithmetical Thinking and Letter-Symbolic Algebra 重新审视算术思维与字母符号代数的关系
IF 2.2 3区 教育学 Q2 EDUCATION & EDUCATIONAL RESEARCH Pub Date : 2024-08-23 DOI: 10.1007/s10763-024-10493-z
Demetra Pitta-Pantazi, Maria Chimoni, Constantinos Christou

This article reports on an empirical study that investigates the way students’ performance in solving arithmetical tasks may be related to their performance in solving algebraic tasks. The sample consisted of 203 Grade 6 students. The arithmetical tasks involved arithmetical expressions with known quantities, whereas the algebraic tasks involved algebraic expressions with both known quantities and unknown quantities; the latter were represented by letter-symbolic representations. The analysis of students’ responses in solving the arithmetical tasks showed that students either used “strategies based on calculations” or “strategies based on structure sense”. The results from the Analysis of Variance (ANOVA) indicated that “strategies based on structure sense” had a significant effect on students successfully solving the algebraic tasks. The findings also suggested that “structure sense” is a shared characteristic of arithmetical thinking and algebraic thinking that is essential for successful engagement with both arithmetic and letter-symbolic algebra contexts.

本文报告了一项实证研究,该研究调查了学生在解决算术任务时的表现与其在解决代数任务时的表现之间的关系。样本由 203 名六年级学生组成。算术任务涉及已知量的算术表达式,而代数任务涉及已知量和未知量的代数表达式;后者用字母符号表示。对学生在解决算术任务时的反应进行的分析表明,学生要么使用了 "基于计算的策略",要么使用了 "基于结构感的策略"。方差分析(ANOVA)的结果表明,"基于结构感的策略 "对学生成功解决代数任务有显著影响。研究结果还表明,"结构感 "是算术思维和代数思维的共同特征,对于成功参与算术和字母符号代数情境至关重要。
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引用次数: 0
Dirt Don’t Hurt: How Relevant Soil Data Can Support Learning and Motivation at a Hispanic Serving Institution 泥土不伤人:相关土壤数据如何支持西班牙裔服务机构的学习和动力
IF 2.2 3区 教育学 Q2 EDUCATION & EDUCATIONAL RESEARCH Pub Date : 2024-08-21 DOI: 10.1007/s10763-024-10491-1
Ian Thacker, Rebecca Schroeder, Sara Shields-Menard, Nickolas Goforth

To create opportunities for meaningful applications of data science for diverse students, we developed and implemented an online learning module focused on engaging students at a Hispanic Serving Institution (HSI) in an analysis of authentic soil data. Development of the module occurred over three design iterations involving interviews with 10 undergraduate STEM students. We then implemented the finalized module in three undergraduate microbiology classrooms (N = 118) using a pretest, posttest, comparison group quasi-experimental study design to assess whether the module improved student microbiology knowledge, perceived relevance of data science, and motivation. Findings revealed that, after adjusting for key variables, the intervention group demonstrated significantly greater microbiology knowledge than the comparison group. Path analyses revealed indirect effects of the intervention through value and interest in STEM. We discuss how findings contribute to theory and practice.

为了给不同学生创造有意义地应用数据科学的机会,我们开发并实施了一个在线学习模块,重点是让西班牙裔服务机构(HSI)的学生参与对真实土壤数据的分析。该模块的开发经历了三次设计迭代,其中包括与 10 名本科 STEM 学生的访谈。然后,我们在三个本科生微生物学课堂(人数=118)上实施了最终确定的模块,采用了前测、后测、对比组的准实验研究设计,以评估该模块是否提高了学生的微生物学知识、数据科学的相关性认知以及学习动机。研究结果表明,在对关键变量进行调整后,干预组的微生物学知识明显高于对比组。路径分析显示,干预措施通过对 STEM 的价值和兴趣产生了间接影响。我们讨论了研究结果对理论和实践的贡献。
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引用次数: 0
Teacher Educators’ Use of Formative Feedback During Preservice Teachers’ Simulated Teaching Experiences in Mathematics and Science 教师教育者在职前教师数学和科学模拟教学体验中使用形成性反馈的情况
IF 2.2 3区 教育学 Q2 EDUCATION & EDUCATIONAL RESEARCH Pub Date : 2024-08-21 DOI: 10.1007/s10763-024-10489-9
Jamie N. Mikeska, Heather Howell, Devon Kinsey

The purpose of this research study was to identify how teacher educators (TEs) attend to and use formative feedback as they work to support preservice teachers’ (PSTs’) learning. The formative feedback was provided to the TEs as part of recurring instructional cycles within their elementary mathematics or science methods course. In these instructional cycles, their PSTs prepared for, engaged in, and reflected on their ability to facilitate argumentation-focused discussions in a simulated classroom. After each cycle, the TEs received formative information about their PSTs’ discussion performance in the form of a feedback report and a scoring report. The study used qualitative content analysis to analyze and interpret key themes from TEs’ interview data to determine how they used this formative information. Findings suggest the TEs used the formative information provided in the feedback and scoring reports: (a) to gauge their PSTs’ instructional capabilities, (b) to reflect on and make changes to their practice, (c) to evaluate their PSTs’ understanding and interpretation of the feedback reports, and (d) to attend to specific features of their PSTs’ practice. Study results highlight the usefulness of providing TEs with formative information about their PSTs’ ability to engage in specific aspects of a core teaching practice, especially to support identification of areas for improvement and inform future instruction.

本研究旨在确定教师教育者(TEs)在支持职前教师(PSTs)学习的过程中如何关注和使用形成性反馈。形成性反馈是作为小学数学或科学方法课程中循环教学的一部分提供给教师教育者的。在这些教学周期中,PST 准备、参与并反思他们在模拟课堂中促进以论证为重点的讨论的能力。每个周期结束后,教师们都会收到以反馈报告和评分报告形式提供的有关 PST 讨论表现的形成性信息。本研究采用定性内容分析法来分析和解释 TEs 访谈数据中的关键主题,以确定他们如何使用这些形成性信息。研究结果表明,技术教员使用了反馈报告和评分报告中提供的形成性信息:(a) 衡量他们的 PST 的教学能力,(b) 反思并改变他们的教学实践,(c) 评估他们的 PST 对反馈报告的理解和解释,以及 (d) 关注他们的 PST 在教学实践中的具体特点。研究结果凸显了为教师提供有关其学生参与核心教学实践特定方面能力的形成性信息的有用性,特别是有助于确定需要改进的领域并为今后的教学提供依据。
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引用次数: 0
How to Assess Mathematics Teachers’ TPACK? A Comparison Between Self-Reports and Knowledge Tests 如何评估数学教师的 TPACK?自我报告与知识测试的比较
IF 2.2 3区 教育学 Q2 EDUCATION & EDUCATIONAL RESEARCH Pub Date : 2024-08-06 DOI: 10.1007/s10763-024-10490-2
Alina Kadluba, Andreas Obersteiner

Teachers need technology-related knowledge to effectively use technology in the classroom. Previous studies have often used self-reports to assess such knowledge. However, it is questionable whether self-reports are valid measures for this purpose. This study investigates how mathematics teachers’ self-reports correlate with their scores in a paper–pencil knowledge test regarding TPCK (technological pedagogical content knowledge), CK (content knowledge), pedagogical content knowledge (PCK), and technological knowledge (TK). Participants were (N = 173) pre- and in-service mathematics teachers. To assess self-reports, we adapted an existing survey from the literature. We also compiled a knowledge test based on items from existing test instruments. To increase comparability between the two instruments, both the self-report and the paper–pencil knowledge test addressed the specific topic of fractions. The four subscales in both instruments had sufficient reliability. The correlations between the self-reports and the paper–pencil test scores were low or very low for all subscales (left(r=.00-.23right)), suggesting that the two instruments captured different underlying constructs. While paper–pencil tests seem more suitable for assessing knowledge, self-reports may be influenced more strongly by participants’ personal traits such as self-efficacy. Our findings raise concerns about the validity of self-reports as measures of teachers’ professional knowledge, and the comparability of studies that use distinct assessment instruments. We recommend that researchers should be more cautious when interpreting self-reports as knowledge and rely more strongly on externally assessed tests.

教师需要掌握与技术相关的知识,才能在课堂上有效地使用技术。以往的研究通常使用自我报告来评估这类知识。然而,自我报告是否是有效的衡量标准尚存疑问。本研究调查了数学教师的自我报告与他们在纸笔知识测试中关于TPCK(技术教学内容知识)、CK(内容知识)、教学内容知识(PCK)和技术知识(TK)的得分之间的相关性。参与者是(N = 173)职前和在职数学教师。为了评估自我报告,我们改编了文献中的现有调查。我们还根据现有测试工具中的项目编制了一个知识测试。为了增加两种工具的可比性,自我报告和纸笔知识测试都针对分数这一特定主题。两种工具的四个分量表都具有足够的可靠性。在所有分量表中,自我报告和纸笔测验分数之间的相关性都很低或很低,这表明这两种工具捕捉到了不同的基本结构。虽然纸笔测验似乎更适合评估知识,但自我报告可能受参与者个人特征(如自我效能)的影响更大。我们的研究结果引起了人们对自我报告作为教师专业知识衡量标准的有效性以及使用不同评估工具的研究的可比性的关注。我们建议研究人员在将自我报告解释为知识时应更加谨慎,并更多地依赖外部评估测试。
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引用次数: 0
Affordances and Constraints to Implementing Project-Based STEM: A Case Study of Systemic School Change 实施以项目为基础的科学、技术和工程教育(STEM)的能力和制约因素:系统性学校变革案例研究
IF 2.2 3区 教育学 Q2 EDUCATION & EDUCATIONAL RESEARCH Pub Date : 2024-08-02 DOI: 10.1007/s10763-024-10487-x
Michael Giamellaro, Benjamin Ewing, Deborah Siegel

School change is difficult and is both leveraged and hindered by interactive influences within complex systems of social practice. Whole-school STEM (science, technology, engineering, and mathematics) is a growing trend with unique aspects of change required of educators. A qualitative case study was used to analyze educator perspectives of the affordances and constraints to implementing a project-based, STEM-focused curriculum across all grades and classes of a rural school district in the United States. Educator journals and interviews informed the case over the first 1.5 years of the initiative. Identified affordances and constraints to implementation were organized into six factors and one element. External, teacher, and curriculum factors were disproportionately described as affordances, while administration and district factors were disproportionately described as constraints to the initiative. Student elements and fixed factors were identified as balanced between affordances and constraints. STEM-specific implications of these findings are discussed.

学校变革是困难的,在复杂的社会实践系统中,既受到互动影响的推动,也受到阻碍。全校 STEM(科学、技术、工程和数学)是一个不断发展的趋势,对教育工作者提出了独特的变革要求。本研究采用定性案例研究的方法,从教育者的角度分析了在美国一个农村学区的所有年级和班级实施以项目为基础、以科学、技术、工程和数学为重点的课程所面临的有利条件和制约因素。教育工作者的日志和访谈为该项目最初 1.5 年的实施提供了信息。已确定的实施能力和限制因素被归纳为六个因素和一个要素。外部因素、教师因素和课程因素被过多地描述为可承受因素,而行政因素和地区因素则被过多地描述为该倡议的制约因素。学生因素和固定因素被认为是兼顾了可承受性和制约性。讨论了这些发现对 STEM 的具体影响。
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引用次数: 0
Exploring Bhutanese Biology Teachers’ Perceptions of Scientific Models 探索不丹生物教师对科学模型的认识
IF 2.2 3区 教育学 Q2 EDUCATION & EDUCATIONAL RESEARCH Pub Date : 2024-08-01 DOI: 10.1007/s10763-024-10485-z
Karma Dorji, Tashi Choden, Pem Choden, Pema Tshering

While Bhutanese biology teachers are expected to possess a rich understanding of scientific models, little is known about their perceptions of scientific models. This study, thus, examined Bhutanese biology teachers’ perceptions of scientific models. The study recruited one hundred and eleven (N = 111) biology teachers using a total population sampling strategy. Quantitative data were collected using an online survey questionnaire, whereas, qualitative data were collected through semi-structured interviews. Quantitative and qualitative data were analysed using statistical methods and content analysis respectively. Findings indicated that Bhutanese biology teachers' views surrounding multiplicity and tentativeness of scientific models were almost entirely correct. However, they held a range of incorrect views in that they openly considered photographs as scientific models, scientific models as exact copies of realities, and physical objects as only real scientific models. Furthermore, their views regarding the potential application of scientific models appeared increasingly limited with models being a mere communication devices. The independent sample t-test revealed a lack of significant difference in Bhutanese biology teachers’ perceptions of scientific models based on gender (p > .05). Similarly, the three-factor ANOVA revealed no significant effects of an individual or the combination of academic qualifications, school type, and teaching experiences on Bhutanese biology teachers’ perceptions of scientific models (p > .05). Further, the multiple linear regression model indicated no significant influence of gender, academic qualifications, school type, and teaching experiences on Bhutanese biology teachers’ perceptions of scientific models (p > .05). Research implications related to the Ministry of Education, science curriculum developers, and teacher training modules are discussed.

虽然不丹的生物教师应该对科学模型有丰富的了解,但对他们对科学模型的看法却知之甚少。因此,本研究考察了不丹生物教师对科学模型的看法。研究采用总体人口抽样策略,招募了 111 名(N=111)生物教师。定量数据通过在线调查问卷收集,定性数据则通过半结构式访谈收集。定量和定性数据分别采用统计方法和内容分析法进行分析。研究结果表明,不丹生物教师对科学模型的多重性和暂定性的看法几乎完全正确。但是,他们也持有一系列不正确的观点,如他们公开认为照片是科学模型,科学模型是现实的精确复制品,实物才是真正的科学模型。此外,他们对科学模型潜在应用的看法似乎越来越局限,认为模型只是一种交流工具。独立样本 t 检验表明,不丹生物教师对科学模型的认识因性别不同而没有显著差异 (p> .05)。同样,三因素方差分析显示,个体或学历、学校类型和教学经验组合对不丹生物教师对科学模型的认知没有显著影响(p >.05)。此外,多元线性回归模型表明,性别、学历、学校类型和教学经验对不丹生物教师对科学模型的认知没有显著影响(p > .05)。本文讨论了与教育部、科学课程开发人员和教师培训模块相关的研究意义。
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引用次数: 0
Overt and Covert Participation in an Argumentative whole-class Discussion: Spread of Ideas about Quadratic Functions 公开和秘密参与全班争论性讨论:二次函数思想的传播
IF 2.2 3区 教育学 Q2 EDUCATION & EDUCATIONAL RESEARCH Pub Date : 2024-07-24 DOI: 10.1007/s10763-024-10488-w
Ofra Ofri, Michal Tabach

Mathematical ideas are developed and spread during argumentative whole class discussions between a teacher and her students. The goal of the current study is to characterize how ideas about quadratic functions emerge and are spread during a whole-class discussion among ninth graders. To this end, we recorded both discussions between pairs of students and whole-class discussions led by the teacher. We used the approach of documenting collective activities as our methodological lens. The findings show that mathematical ideas about quadratic functions, like positive and negative range, increase and decrease range, minimum or maximum point, intersection with the axes, and more were spread in two parallel layers. Students participated in an overt layer in which they uttered their ideas in a public discussion. At the same time, they also uttered mathematical ideas privately with their peers in a covert layer. That is, whole-class discussions are not identical for all participants in that the covert layer turns these discussions into a unique experience.

数学思想是在教师与学生的全班讨论中形成和传播的。本研究的目标是描述九年级学生在全班讨论中如何形成和传播关于二次函数的观点。为此,我们记录了学生之间的讨论和教师主持的全班讨论。我们将记录集体活动的方法作为我们的方法论视角。研究结果表明,关于二次函数的数学思想,如正负范围、增减范围、最小点或最大点、与坐标轴的交点等,分布在两个平行的层面上。学生们参与了一个公开层,他们在公开讨论中说出了自己的想法。与此同时,他们还在隐蔽层与同伴私下交流数学想法。也就是说,全班讨论对于所有参与者来说并不完全相同,因为隐蔽层将这些讨论变成了一种独特的体验。
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引用次数: 0
Mis-Out and Mis-In Examples: The Case of Rational Numbers 误出和误入示例:有理数案例
IF 1.9 3区 教育学 Q2 EDUCATION & EDUCATIONAL RESEARCH Pub Date : 2024-07-16 DOI: 10.1007/s10763-024-10479-x
D. Tirosh, P. Tsamir
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引用次数: 0
Enhancing K-12 Students' STEM Learning Through the Integration of the Metaverse Into Online and Blended Environments: A Meta-Analysis 通过将 Metaverse 融入在线和混合环境,加强 K-12 学生的 STEM 学习:元分析
IF 1.9 3区 教育学 Q2 EDUCATION & EDUCATIONAL RESEARCH Pub Date : 2024-07-16 DOI: 10.1007/s10763-024-10484-0
Xingyu Geng, Yu-Sheng Su
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引用次数: 0
Examining disciplinary specificity of preservice mathematics and science teachers’ professional identities 研究职前数学和科学教师职业身份的学科特殊性
IF 2.2 3区 教育学 Q2 EDUCATION & EDUCATIONAL RESEARCH Pub Date : 2024-07-09 DOI: 10.1007/s10763-024-10486-y
Wittaya Pulsawad, Anusorn Tong-on, Luecha Ladachart, Ladapa Ladachart

Many countries have adopted integrative approaches to science, technology, engineering, and mathematics (STEM) education. As preservice teachers with majors in mathematics and science are prospective targets for addressing the demand for STEM education, they are expected to develop professional identities as STEM teachers, in addition to professional identities as general and disciplinary teachers. However, research investigating the extent to which preservice teachers with these majors identify as STEM teachers is scant. Moreover, the disciplinary specificity of preservice teachers’ professional identities remains an issue in literature. This study involves survey research examining the degree to which preservice teachers with majors in mathematics (42), general science (44), and advanced science (47) identify as general, disciplinary, and STEM teachers. We collected data using Likert-type questionnaires focusing on three components—motivation, self-efficacy, and self-image—as proxies of professional identity. We analyzed the data using Friedman tests with Conover’s post-hoc tests. The results show that preservice teachers similarly self-identify as general and disciplinary teachers regardless of their majors but see themselves significantly less as STEM teachers. When comparing across the components, they imagine themselves significantly less as STEM teachers than they were motivated and self-efficacious to become STEM teachers. The results suggest that the disciplinary specificity of preservice teachers’ professional identities largely manifests in the context of STEM education. The siloed approach to teacher education may not adequately prepare preservice teachers to develop professional identities as STEM teachers. Effective and ongoing support is needed for preservice teachers to identify as STEM teachers.

许多国家在科学、技术、工程和数学(STEM)教育中采用了综合方法。由于主修数学和科学的职前教师是满足 STEM 教育需求的潜在目标,因此,除了作为普通教师和学科教师的专业身份外,他们还应该发展作为 STEM 教师的专业身份。然而,有关这些专业的职前教师在多大程度上认同 STEM 教师这一身份的研究却很少。此外,职前教师职业认同的学科特异性仍然是文献中的一个问题。本研究对数学(42)、普通科学(44)和高等科学(47)专业的职前教师对普通教师、学科教师和 STEM 教师的认同程度进行了调查研究。我们使用李克特(Likert)类型的问卷收集数据,重点关注专业认同的三个组成部分--动机、自我效能感和自我形象。我们使用弗里德曼检验和康诺弗事后检验对数据进行了分析。结果显示,职前教师无论所学专业如何,都同样自我认同为普通教师和学科教师,但认为自己是 STEM 教师的比例明显较低。在对各组成部分进行比较时,他们认为自己是 STEM 教师的程度明显低于他们成为 STEM 教师的动机和自我效能感。研究结果表明,职前教师职业身份的学科特殊性主要体现在 STEM 教育方面。孤立的师范教育方式可能无法充分培养职前教师作为 STEM 教师的专业身份。需要为职前教师提供有效和持续的支持,帮助他们确定 STEM 教师的身份。
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引用次数: 0
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International Journal of Science and Mathematics Education
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