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Applying Structural Equation Modeling to Assess Factors of Primary School Mathematics Teachers’ Knowledge of Students’ Misconceptions 运用结构方程模型评估小学数学教师对学生错误认知的影响因素
IF 2.2 3区 教育学 Q1 Mathematics Pub Date : 2024-01-25 DOI: 10.1007/s10763-024-10444-8

Abstract

The study assessed the relationship between career preparation, beliefs, attitudes, in-service training, and peer communication of primary school mathematics teachers and their knowledge of students’ misconceptions. Seven hundred one Chinese teachers were selected for the test and questionnaire survey. The mathematics teacher test paper had good reliability and content validity. The coefficient omega ( ({varvec{omega}}) ) and the confirmatory factor analysis (CFA) were used to test the reliability and validity of the questionnaire items on mathematics teachers’ beliefs, attitudes, in-service training, and peer communication. The structural equation model (SEM) was used to explain the relationship between factors. SEM results showed that career preparation had no significant influence on mathematics teachers’ knowledge of students’ misconceptions. Mathematics teachers’ attitudes towards students’ misconceptions, student-centered beliefs, and peer communication positively influenced their knowledge of students’ misconceptions. Furthermore, peer communication was the mediating variable between mathematics teachers’ attitudes and knowledge of students’ misconceptions, meanwhile between the student-centered beliefs and the knowledge of students’ misconceptions. These results of the study have indicated the direction for education departments and schools to improve teacher education courses and teacher activities in classroom practice.

摘要 本研究评估了小学数学教师的职业准备、信念、态度、在职培训和同伴交流与他们对学生错误认知的了解之间的关系。研究选取了 71 名中国教师进行测试和问卷调查。数学教师测试卷具有良好的信度和内容效度。采用系数ω({/varvec{/omega}}/)和确证因子分析(CFA)检验了数学教师信念、态度、在职培训和同伴交流问卷项目的信度和效度。结构方程模型(SEM)用于解释各因素之间的关系。SEM 结果显示,职业准备对数学教师对学生错误认知的了解没有显著影响。数学教师对学生错误认知的态度、以学生为中心的信念和同伴交流对他们对学生错误认知的了解有积极影响。此外,同伴交流是数学教师对学生错误认知的态度和认知之间的中介变量,同时也是以学生为中心的信念和学生错误认知的认知之间的中介变量。这些研究结果为教育部门和学校改进教师教育课程和教师课堂实践活动指明了方向。
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引用次数: 0
A Study of Grade Two Students Solving a Non-Routine Problem with Access to Manipulatives 关于二年级学生利用计算器解决非例行问题的研究
IF 2.2 3区 教育学 Q1 Mathematics Pub Date : 2024-01-23 DOI: 10.1007/s10763-024-10443-9
Si Hoon Leow, Berinderjeet Kaur
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引用次数: 0
Correction to: The Influence of Iterative Online Course Designs on Student Learning Outcomes in Large Undergraduate Biology Courses and Labs 更正:迭代式在线课程设计对大型本科生物课程和实验室学生学习成果的影响
IF 2.2 3区 教育学 Q1 Mathematics Pub Date : 2024-01-15 DOI: 10.1007/s10763-024-10442-w
Brenda Such, Stefanie Gazda
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引用次数: 0
Is Immersion in 3D Virtual Games Associated with Mathematical Ability Improvement in Game-Based Learning? 沉浸于三维虚拟游戏是否与游戏式学习中数学能力的提高有关?
IF 2.2 3区 教育学 Q1 Mathematics Pub Date : 2024-01-04 DOI: 10.1007/s10763-023-10440-4
Athanasios Christopoulos, Stylianos Mystakidis, Justyna Kurczaba, Mikko-Jussi Laakso, Chrysostomos Stylios

Previous studies have found positive effects of Game-Based Learning for mathematics. While most studies assume that this effect is explained by the presence of flow/immersion during games, this has not yet been established. The aim of the current study is to verify if immersion indeed is associated with mathematical skills improvement when using a Game-Based Learning intervention. This was tested among 59 Greek high school students, using authentic design. After having received a traditional education module, the students were tested and then engaged for four weeks in a desktop-based 3D Virtual Learning Environment where they could play mathematic minigames. They were subsequently re-tested to verify if they showed a significant increase in mathematical skills. The students showed an improvement in their mathematical skills (Cohen’s d = 1.26), with significant results for functions, geometry, and thinking skills and methods. On the individual level, about half of the students showed a 10% increase in one of the domains (numbers & calculations, functions, geometry, thinking skills and methods, and algorithms and number theory). Immersion was found to be reflected by engagement and presence, but neither one of these aspects was associated with mathematical achievement after the intervention. It is concluded that Game-Based Learning is an effective approach to increasing mathematical skills, yet the underlying mechanisms are not yet understood. The authors discuss several alternative mechanisms based on the literature that can be verified in future studies.

以往的研究发现,游戏式学习对数学有积极的影响。虽然大多数研究都认为这种效果是由游戏过程中的流畅感/沉浸感造成的,但这一点尚未得到证实。本研究的目的是验证在使用游戏式学习干预时,沉浸是否确实与数学技能的提高有关。本研究采用真实设计,在 59 名希腊高中生中进行了测试。在接受了传统的教育模块后,学生们接受了测试,然后在基于桌面的三维虚拟学习环境中进行了为期四周的数学小游戏。随后对他们进行了再次测试,以验证他们的数学技能是否有显著提高。结果表明,学生的数学技能有所提高(Cohen's d = 1.26),其中函数、几何、思维技能和方法的成绩显著。就个体而言,约有一半的学生在其中一个领域(数字与ampamp;计算、函数、几何、思维能力与方法,以及算法与数论)的成绩提高了 10%。沉浸式学习体现在参与度和临场感上,但这两方面都与干预后的数学成绩无关。结论是,基于游戏的学习是提高数学技能的有效方法,但其潜在机制尚不清楚。作者根据文献讨论了几种可供选择的机制,这些机制可以在未来的研究中得到验证。
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引用次数: 0
A Missing Piece of the Puzzle? Exploring Whether Science Capital and STEM Identity are Associated with STEM Study at University 拼图中缺少的一块?探索科学资本和 STEM 身份是否与大学 STEM 学习有关
IF 2.2 3区 教育学 Q1 Mathematics Pub Date : 2024-01-04 DOI: 10.1007/s10763-023-10438-y
Spela Godec, Louise Archer, Julie Moote, Emma Watson, Jennifer DeWitt, Morag Henderson, Becky Francis

Internationally, there are concerns that more needs to be done to address the inequalities in participation in science, technology, engineering, and mathematics (STEM) subjects at the degree level. In response, research focused on better understanding what influences young people’s STEM participation has focused on a range of factors. This paper contributes to the existing research with an analysis of how “science capital” and “STEM identity” relate to STEM participation. We draw on data from 3310 young people aged 21–22 who had undertaken an undergraduate degree, 523 of whom studied a STEM subject. We found that science capital and STEM identity were statistically significantly related to studying a STEM degree (with science capital being weakly and STEM identity strongly associated with STEM study at university). Adopting a Bourdieusian lens, we discuss what our findings mean for higher education and what more could be done to support students, especially those who are currently under-represented in STEM, such as through better recognising and developing their science capital and supporting their sense of belonging in STEM.

在国际上,人们担心需要做更多的工作来解决科学、技术、工程学和数学 (STEM)学科学位参与不平等的问题。为此,为更好地了解影响年轻人参与 STEM 学习的因素,相关研究重点关注了一系列因素。本文分析了 "科学资本 "和 "STEM 特性 "与 STEM 参与的关系,为现有研究做出了贡献。我们利用了 3310 名年龄在 21-22 岁、攻读过本科学位的年轻人的数据,其中 523 人学习的是 STEM 学科。我们发现,在统计学上,科学资本和科学、技术、工程和数学身份与攻读科学、技术、工程和数学学位有显著关系(科学资本与大学科学、技术、工程和数学学习关系较弱,科学、技术、工程和数学身份与大学科学、技术、工程和数学学习关系较强)。采用布尔迪厄斯视角,我们讨论了我们的研究结果对高等教育的意义,以及可以采取哪些措施来支持学生,尤其是那些目前在 STEM 领域人数不足的学生,比如通过更好地认可和发展他们的科学资本,支持他们在 STEM 领域的归属感。
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引用次数: 0
Design and Implementation of an Einsteinian Energy Learning Module. 爱因斯坦能量学习模块的设计与实现
IF 2.2 3区 教育学 Q1 Mathematics Pub Date : 2024-01-01 Epub Date: 2023-03-01 DOI: 10.1007/s10763-022-10348-5
Shachar Boublil, David Blair, David F Treagust

The most famous equation in physics, E = mc2, is rarely introduced in middle school physics curricula. Recent research has shown that teaching Einsteinian concepts at the middle school level is feasible and beneficial. This paper analyses an Einsteinian energy teaching module for Year 8 students (13-14 years old), which encompasses the two fundamental energy formulas in modern physics, E = mc2 and E = hf. In the context of activity-based learning, the Einsteinian energy module relates to all the forms of energy in traditional school curricula. This study uses a design-based research approach within the Model of Educational Reconstruction framework. Modern experiments, historical events, and educational research helped us identify relevant Einsteinian energy concepts, activities, and assessments. The study included 22 students who participated in nine in-class Einsteinian energy lessons. Analysing results in the post-test showed a 31% mean increase from the pre-test, a clear and significant positive change in students' conceptual understanding. The results demonstrated students' ability to deal with very large and small constants of proportionality and physical concepts involved in the module.

中学物理课程中很少引入物理学中最著名的方程 E = mc2。最近的研究表明,在初中阶段教授爱因斯坦概念是可行且有益的。本文分析了针对八年级学生(13-14 岁)的爱因斯坦能量教学模块,其中包含现代物理学中的两个基本能量公式:E = mc2 和 E = hf。在基于活动的学习背景下,爱因斯坦能量模块与传统学校课程中所有形式的能量相关联。本研究在 "教育重建模式 "框架内采用了基于设计的研究方法。现代实验、历史事件和教育研究帮助我们确定了相关的爱因斯坦能量概念、活动和评估。这项研究包括 22 名学生,他们参加了九节爱因斯坦能量课。对后测结果的分析表明,与前测相比,学生的概念理解能力平均提高了 31%,这是一个明显而显著的积极变化。结果表明,学生有能力处理非常大和非常小的比例常数以及模块中涉及的物理概念。
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引用次数: 1
School Stratification and Science Climate in Early Secondary Education in Ireland and Flanders: Associations with Students’ Science Dispositions and Science Literacy 爱尔兰和佛兰德斯早期中等教育中的学校分层和科学氛围:学生的科学态度与科学素养的关系
IF 2.2 3区 教育学 Q1 Mathematics Pub Date : 2023-12-30 DOI: 10.1007/s10763-023-10439-x
Larry J. Grabau, Jan Van Damme

Adaptive science dispositions (epistemology, enjoyment, interest, and self-efficacy) have been shown to be related to schools’ science climate and science literacy. School stratification may promote positive linkages among science dispositions, science literacy, and science climate. To examine the association between school stratification and such linkages, we undertook a comparative study of early secondary schools in Ireland (less stratified—modest tracking, modest grade retention) and Flanders (Dutch-speaking Belgian region; more stratified—multiple tracks, extensive grade retention). Using Program for International Student Assessment (PISA 2015) data and multilevel modeling methods, we included 5419 (Ireland) and 5675 (Flanders) students nested within 157 and 171 schools, respectively. Student- and school-level variables with potential associations with our outcome measures (science dispositions for the first research question (RQ1); science literacy for RQ2) were included in baseline models. Subsequent models estimated “over-and-above” associations of science climate with science dispositions (RQ1) and of both science dispositions and climate with science literacy (RQ2). Science dispositions, as outcomes, were associated with disciplinary climate and teaching support in science classroom, particularly in Ireland. All four science dispositions (as independent variables) were associated with science literacy (both separately and in concert) for both Irish and Flemish cases. Epistemology was most strongly associated with science literacy. A less stratified school system may grant teachers more opportunities to craft positive science learning environments. A more stratified school system may amplify existing divergences in science (dispositions and literacy).

适应性科学倾向(认识论、乐趣、兴趣和自我效能)已被证明与学校的科学氛围和科学素养有关。学校分层可能会促进科学倾向、科学素养和科学氛围之间的积极联系。为了研究学校分层与这种联系之间的关系,我们对爱尔兰(分层较少--最温和的追踪,适度的留级)和佛兰德斯(比利时荷语区;分层较多--多轨,广泛的留级)的早期中学进行了比较研究。利用国际学生评估项目(PISA 2015)数据和多层次建模方法,我们分别将 5419 名(爱尔兰)和 5675 名(佛兰德斯)学生纳入 157 所和 171 所学校。基线模型中包含了可能与我们的结果测量相关的学生和学校层面的变量(第一个研究问题(RQ1)为科学处置;第二个研究问题(RQ2)为科学素养)。随后的模型估计了科学氛围与科学倾向(研究问题 1)以及科学倾向和科学氛围与科学素养(研究问题 2)之间的 "叠加 "关系。科学倾向作为结果,与科学课堂的学科氛围和教学支持有关,特别是在爱尔兰。在爱尔兰和佛兰德案例中,所有四种科学倾向(作为自变量)都与科学素养相关(既有单独的,也有共同的)。认识论与科学素养的关系最为密切。分层程度较低的学校系统可能会给教师提供更多的机会来营造积极的科学学习环境。分层程度较高的学校制度可能会扩大科学(态度和素养)方面的现有差异。
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引用次数: 0
School-Level Science and Mathematics Predictors of Precollege Physics Enrollment and Performance 大学物理入学率和成绩的校级科学和数学预测因素
IF 2.2 3区 教育学 Q1 Mathematics Pub Date : 2023-12-22 DOI: 10.1007/s10763-023-10436-0
Robert Krakehl, Angela M. Kelly
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引用次数: 0
Comparing Elementary and Secondary Teachers’ Robust Understanding of Proportional Reasoning 比较小学和中学教师对比例推理的深刻理解
IF 2.2 3区 教育学 Q1 Mathematics Pub Date : 2023-12-15 DOI: 10.1007/s10763-023-10437-z
David Glassmeyer, Aaron Brakoniecki, Julie M. Amador

Identifying the knowledge resources teachers productively and unproductively draw upon can provide a means by which to create support structures to develop a more robust understanding of the content. To provide more informed grade-level support structures in teacher education programs, this study examined the knowledge resources 20 secondary pre-service teachers (PSTs) and 13 elementary PSTs drew upon when solving a comparison proportional reasoning problem. Data from written work and videos of PSTs’ explanations were analyzed using the robust understanding of proportional reasoning for teaching framework. Both elementary and secondary PSTs ubiquitously drew upon the same four knowledge resources (comparison of quantities, ratios, proportional situation, and ratio as measure). Elementary PSTs were more apt to counterproductively draw upon the knowledge resource ratios ≠ fractions, while secondary PSTs more often counterproductively drew upon equivalence. Mathematics educators can leverage the knowledge resources afforded by this task and strategically highlight productive and counterproductive resources to tailor instruction that develops PSTs’ robust understanding of proportional reasoning.

识别教师有效利用和无效利用的知识资源,可以为创建支持结构提供一种手段,从而促进教师对教学内容更深刻的理解。为了在教师教育项目中提供更多的年级支持结构,本研究考察了 20 名中学职前教师(PSTs)和 13 名小学职前教师在解决比较比例推理问题时所利用的知识资源。研究采用 "教学中对比例推理的稳健理解 "框架,分析了职前教师的书面作业和解释视频中的数据。小学和中学的小学生都普遍利用了相同的四种知识资源(数量比较、比率、比例情况和作为度量的比率)。小学小学生更倾向于反向利用 "比≠分数 "这一知识资源,而中学小学生则更多地反向利用 "等量关系 "这一知识资源。数学教育工作者可以利用这项任务所提供的知识资源,有策略地突出富有成效和适得其反的资源,从而因材施教,培养小学生对比例推理的深刻理解。
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引用次数: 0
Development and Validation of a Reading in Science Holistic Assessment (RISHA): a Rasch Measurement Study 科学阅读综合评估(RISHA)的开发与验证:一项拉施测量研究
IF 2.2 3区 教育学 Q1 Mathematics Pub Date : 2023-12-08 DOI: 10.1007/s10763-023-10434-2
Kason Ka Ching Cheung, Jack K. H. Pun, Xuehua Fu

Researchers in science education lacks valid and reliable instruments to assess students’ disciplinary and epistemic reading of scientific texts. The main purpose of this study was to develop and validate a Reading in Science Holistic Assessment (RISHA) to assess students’ holistic reading of scientific texts. RISHA measures students’ content, procedural, and epistemic domains of reading two texts, one history-of-science text and another socio-scientific text. The initial 24-item RISHA was administered to 161 Grade 9 students from 3 schools. The multidimensional Rasch partial credit model was used to analyze the reliability and validity of RISHA. All items demonstrated good fit and reliability. According to logit scores generated for each domain in Rasch analysis, students in our study performed better in content domain and less well in the epistemic domain. Students also performed significantly better in the epistemic domain of the socio-scientific text than in the history-of-science text. RISHA provides accurate measures in various domains of reading scientific texts and various contexts of scientific texts. We propose that RISHA could potentially be applied to studying the effect of reading-science intervention or predictors of students’ performance in each domain of reading scientific texts.

科学教育研究人员缺乏有效可靠的工具来评估学生对科学文本的学科和认识论阅读。本研究的主要目的是开发和验证科学整体阅读评估(Reading in Science Holistic Assessment,RISHA),以评估学生对科学文本的整体阅读。RISHA 测评学生阅读两篇文章(一篇科学史文章和另一篇社会科学文章)的内容、程序和认识领域。对来自 3 所学校的 161 名九年级学生进行了最初的 24 个项目的 RISHA 测试。采用多维 Rasch 部分学分模型分析 RISHA 的信度和效度。所有项目均显示出良好的拟合性和可靠性。根据 Rasch 分析为每个领域生成的 logit 分数,本研究的学生在内容领域的表现较好,而在认识领域的表现较差。学生在社会科学文本的认识论领域的表现也明显优于科学史文本。RISHA 在科学文本阅读的各个领域和科学文本的各种语境中提供了准确的测量。我们建议将 RISHA 应用于研究科学阅读干预的效果或预测学生在科学文本阅读各领域的表现。
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引用次数: 0
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International Journal of Science and Mathematics Education
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