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An approach to inferential reasoning levels on the Chi-square statistic 基于卡方统计的推理方法
Q1 Mathematics Pub Date : 2024-01-16 DOI: 10.29333/ejmste/14119
Jesús Guadalupe Lugo-Armenta, L. Pino-Fan
This paper presents an approach of progressive levels of inferential reasoning on the Chi-square statistic, going from informal to formal reasoning. The proposal is based on epistemic criteria retrieved from a historical-epistemological study of such statistic and the contributions of statistics education literature on inferential reasoning. In this regard, some theoretical and methodological notions from the onto-semiotic approach were used to identify meanings attributed to the Chi-square statistic throughout its evolution and development. The mathematical characteristics of those meanings are closely linked to the indicators of the levels proposed. The nature of the four levels on the Chi-square statistic allowed us to develop an initial approach to levels of inferential reasoning, which could be applied to other statistics such as z, student’s t and F.
本文提出了一种从非正式推理到正式推理的渐进推理方法。该建议基于对此类统计的历史-认识论研究得出的认识论标准,以及统计教育文献对推理的贡献。在这方面,我们使用了 onto-semiotic 方法中的一些理论和方法论概念,以确定池平方统计在其演变和发展过程中的含义。这些含义的数学特征与所提出的等级指标密切相关。关于卡方统计量的四个等级的性质使我们能够为推论推理的等级制定一种初步的方法,这种方法可应用于其他统计量,如 z、学生 t 和 F。
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引用次数: 1
The competence, interest, and perceived self-efficacy of undergraduate students in science communication 本科生在科学传播方面的能力、兴趣和自我效能感
Q1 Mathematics Pub Date : 2024-01-16 DOI: 10.29333/ejmste/14118
G. I. Ibragimov, Sergei P. Zhdanov, Nonna Y. Volosova, S. Knyazeva, Svetlana V. Efimushkina, L. Kochneva
Science communication is an important part of science literacy that helps build trust in science, promotes the public interest, and supports informed decision-making on scientific issues. However, the literature lacks studies examining undergraduate student’s competence, interest, and self-efficacy in science communication. This study investigated undergraduate student’s competence, interest, and perceived self-efficacy skills in science communication. Two instruments were used to collect data from 226 undergraduate students in a public research university. The findings revealed that participants’ competence and interest in science communication were moderate. The data shows that STEM students lack confidence in their ability to engage in science communication and are not particularly interested in it. The study found no significant differences in competence, interest, perceived self-efficacy, and gender. Likewise, no significant differences were found in competence and perceived self-efficacy across different grade levels. However, there was a significant relationship between participants’ interests and their grade levels. The effect size was small for competence and interests in science communication. The conclusion discusses the implications of the findings for future studies.
科学传播是科学素养的重要组成部分,有助于建立对科学的信任,促进公众利益,支持在科学问题上做出明智的决策。然而,文献中缺乏对本科生在科学传播方面的能力、兴趣和自我效能的研究。本研究调查了本科生在科学传播方面的能力、兴趣和自我效能感技能。研究使用两种工具收集了一所公立研究型大学 226 名本科生的数据。研究结果显示,受试者在科学传播方面的能力和兴趣处于中等水平。数据显示,STEM 学生对自己参与科学传播的能力缺乏信心,对科学传播也不是特别感兴趣。研究发现,学生在能力、兴趣、自我效能感和性别方面没有明显差异。同样,不同年级的学生在能力和自我效能感方面也没有发现明显的差异。然而,参与者的兴趣与他们的年级之间存在着明显的关系。在科学传播的能力和兴趣方面,影响大小较小。结论部分讨论了研究结果对未来研究的影响。
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引用次数: 0
Mathematics teachers’ self-efficacy beliefs and its relationship with teaching practices 数学教师的自我效能信念及其与教学实践的关系
Q1 Mathematics Pub Date : 2024-01-16 DOI: 10.29333/ejmste/14123
B. Olawale, Winston Hendricks
Given that teachers’ self-efficacy belief is correlated with students’ performance and positive behavior in terms of teaching, the present study examined the teaching practices of mathematics teachers and their self-efficacy beliefs with regard to some variables (gender, educational background, teaching phase, and school type). This study is underpinned by a positivist paradigm and a quantitative research approach. The researchers employed a survey research design. The population for this study is made up of all mathematics teachers in schools located in the Eastern Cape Province, South Africa from which a total of 266 mathematics teachers teaching in senior phase, further education and training phase, and intermediate phase were randomly sampled. In order to collect data, teachers teaching practice self-efficacy scale, which consisted of 23 items and four dimensions was employed. One-way analysis of variance, independent samples t-test, and arithmetic mean were conducted in analyzing the collected data. Despite having a high degree of confidence in their instructional strategies, teachers’ low self-efficacy beliefs were found to be influenced by the kind of schools, where they were teaching and their level of education. Based on these findings, it was recommended that relevant stakeholders in the education sector should make schools conducive to learning through the provision of required instructional materials that supports the teaching and learning of mathematics.
鉴于教师的自我效能感信念与学生的成绩和积极的教学行为相关,本研究考察了数学教师的教学实践及其自我效能感信念与一些变量(性别、教育背景、教学阶段和学校类型)的关系。本研究采用实证主义范式和定量研究方法。研究人员采用了调查研究设计。研究对象是南非东开普省学校的所有数学教师,从中随机抽取了在高年级、继续教育和培训阶段以及中级阶段任教的 266 名数学教师。为了收集数据,采用了教师教学实践自我效能感量表,该量表由 23 个项目和四个维度组成。对收集到的数据进行了单因素方差分析、独立样本 t 检验和算术平均数分析。结果发现,尽管教师对自己的教学策略很有信心,但他们的低自我效能感信念受到学校类型、教学地点和教育水平的影响。基于这些研究结果,建议教育部门的相关利益方应通过提供必要的教学材料来支持数学的教与学,从而使学校有利于学习。
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引用次数: 0
How do pre-service teachers view Galois theory? A questionnaire study 职前教师如何看待伽罗瓦理论?问卷调查
Q1 Mathematics Pub Date : 2024-01-16 DOI: 10.29333/ejmste/14120
J. Veith, Boris Girnat, Bianca Winkler, Eleonore Becker, Richard Becher, P. Bitzenbauer
Abstract algebra is an important part of mathematics teacher education as it provides the rigorous mathematical foundations for many mathematics topics covered in school classrooms. Throughout their academic career, many secondary mathematics teachers even enroll in more advanced algebra courses, which often culminate in Galois theory. However, very little is known about educational aspects of Galois theory and respective mathematics education research is scarce. We contribute to closing this gap by reporting on the results of an exploratory questionnaire study with a sample of n=39 pre-service mathematics teachers, inquiring about the raison d’être of incorporating Galois theory into teacher education: Is Galois theory viewed as useful for their later profession and which connections are drawn to the secondary mathematics classroom? On the one hand, the results of our study indicate that a vast majority of pre-service teachers do not perceive studying Galois theory as meaningful and struggle to exemplify connections between Galois theory and secondary school mathematics. On the other hand, a small share of the participants experienced Galois theory as an important part of mathematics that elegantly connects a variety of algebraic and geometric notions.
抽象代数是数学教师教育的重要组成部分,因为它为学校课堂中涉及的许多数学课题提供了严谨的数学基础。在整个学术生涯中,许多中学数学教师甚至会选修更高级的代数课程,这些课程通常以伽罗瓦理论为高潮。然而,人们对伽罗瓦理论的教育方面知之甚少,相关的数学教育研究也很少。为了填补这一空白,我们报告了一项探索性问卷调查的结果,调查对象为 39 名职前数学教师,询问将伽罗华理论纳入师范教育的存在理由:伽罗瓦理论是否对他们日后的职业有用,与中学数学课堂有何联系?一方面,我们的研究结果表明,绝大多数职前教师认为学习伽罗华理论没有意义,并且很难举例说明伽罗华理论与中学数学之间的联系。另一方面,一小部分参与者认为伽罗瓦理论是数学的重要组成部分,它优雅地连接了各种代数和几何概念。
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引用次数: 0
Impact of web-based learning platforms on primary school students’ academic performance in the UAE: Exploring the digital frontier 网络学习平台对阿联酋小学生学习成绩的影响:探索数字前沿
Q1 Mathematics Pub Date : 2024-01-03 DOI: 10.29333/ejmste/14091
Zuhrieh Shana, Khadijah Naser, Eman Zeitoun
The three-month quasi-experimental study examined the impact of Purple Mash, an educational website, on grade four students’ academic achievement and perception. The study involved 28 participants, divided into control and experimental groups. Initial assessment scores were similar between the groups, but after the intervention, the experimental group showed a significant increase in post-test scores compared to the control group. The experimental group achieved an average score of 89.9, while the control group scored 77.2. Additionally, the students reported high levels of satisfaction with the interactive learning experiences provided by Purple Mash. Based on these findings, the study recommends the development of dedicated websites for each lesson to enhance accessibility and improve academic achievement and student perception in information and communication technology (ICT) courses. The integration of various data sources, such as pre- and post-test scores, classroom observations, and interviews, supported the credibility and dependability of the research findings. This thorough approach allowed for a deeper understanding of ICT class dynamics and the establishment of robust conclusions. The findings of this study provide compelling evidence of the positive impact of Purple Mash, a web-based mathematics learning platform, on primary school students’ mathematics achievement.
这项为期三个月的准实验研究考察了教育网站 Purple Mash 对四年级学生学业成绩和认知的影响。该研究有 28 名参与者,分为对照组和实验组。两组的初始评估分数相近,但在干预后,实验组的后测分数比对照组有了显著提高。实验组的平均成绩为 89.9 分,而对照组为 77.2 分。此外,学生们对 Purple Mash 提供的互动学习体验表示非常满意。基于这些研究结果,本研究建议为每节课开发专用网站,以提高信息与传播技术(ICT)课程的可访问性,并改善学业成绩和学生感知。整合各种数据来源,如前后测试成绩、课堂观察和访谈,为研究结果的可信度和可靠性提供了支持。这种全面的研究方法有助于深入了解信息和通信技术课堂的动态,并得出可靠的结论。本研究的结果提供了令人信服的证据,证明 Purple Mash(基于网络的数学学习平台)对小学生数学成绩的积极影响。
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引用次数: 0
Exploring science teachers’ views about the nature of science and the implications on their pedagogical content knowledge: A case of 11 in-service South African teachers 探索科学教师对科学本质的看法及其对教学内容知识的影响:以 11 名南非在职教师为例
Q1 Mathematics Pub Date : 2024-01-03 DOI: 10.29333/ejmste/14090
Karabo Justice Chuene, Suresh Kamar Singh
This study explored science teachers’ views of the nature of science (NOS) and the implications on their pedagogical content knowledge (PCK). The study follows a qualitative approach and uses a single case study design that followed 11 science teachers. The study uses PCK for science teaching as a framework, where the participants were requested to complete the views of NOS questionnaire (VNOS-D+) and each was observed two times in their science classrooms. Furthermore, the study highlights the importance of teachers’ PCK in teaching science. The study found that the majority of the participants reflected informed views of NOS. Although the majority of the teachers had a good understanding of the goals and objectives of science education and their solid content knowledge. They had poor knowledge of learners’ understanding of science, choice of instructional strategies, and choice of assessment techniques for scientific literacy.
本研究探讨了科学教师对科学本质(NOS)的看法及其对教学内容知识(PCK)的影响。本研究采用定性研究方法和单一案例研究设计,对 11 名科学教师进行了跟踪调查。研究以科学教学的 PCK 为框架,要求参与者填写对 NOS 的看法调查问卷(VNOS-D+),并对每位参与者的科学课堂进行了两次观察。此外,本研究还强调了教师 PCK 在科学教学中的重要性。研究发现,大多数参与者反映了他们对 NOS 的知情看法。虽然大多数教师对科学教育的目标和目的有很好的理解,并掌握了扎实的内容知识。但他们对学习者对科学的理解、教学策略的选择以及科学素养评估技术的选择了解甚少。
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引用次数: 0
Making quadratic functions interesting: Students teams-achievement division instructional strategy 让二次函数变得有趣学生团队成就分割教学策略
Q1 Mathematics Pub Date : 2024-01-03 DOI: 10.29333/ejmste/14092
Adesegun Olayide Odutayo, Katleen Fonseca
Algebra plays a central role in school mathematics as it is a critical factor for success in mathematics courses such as calculus and geometry. This investigation aimed to establish the effectiveness of students teams-achievement division (STAD) strategy on students’ academic achievement in algebra, Lagos State, Nigeria. A quasi-experimental model was employed for the study, which lasted for six weeks. Two secondary schools were chosen randomly and divided into experimental and control groups. The sample comprised 136 students (61 students in control group and 75 students in experimental group) from Ikorodu City, Lagos State, Nigeria. The quadratic functions assessment test, four questions (each with four items) with appropriate validation, served as the tool for data collection. Reliability was attained using the test-re-test method, with Pearson’s product-moment correlation analysis yielding a reliability index of 0.86. Three hypotheses were generated and analyzed using analysis of covariance at a significance level of 0.05. The results showed that students exposed to STAD had enhanced performance in algebra. Likewise, gender did not impact the achievement of the participants in algebra. It was recommended that the Nigerian Educational Research Development Council arrange workshops, training, and seminars on incorporating learner-friendly instructional strategies such as STAD.
代数在学校数学中起着核心作用,因为它是微积分和几何等数学课程取得成功的关键因素。本调查旨在确定尼日利亚拉各斯州的学生团队--成就划分(STAD)策略对学生代数学习成绩的影响。研究采用准实验模式,为期六周。随机选择了两所中学,分为实验组和对照组。样本包括尼日利亚拉各斯州伊科罗杜市的 136 名学生(对照组 61 名,实验组 75 名)。数据收集工具是二次函数评估测试,共有四道题(每题四个项目),并经过适当的验证。采用测试-再测试法获得了可靠性,通过皮尔逊积矩相关分析得出可靠性指数为 0.86。在显著性水平为 0.05 的条件下,利用协方差分析法对三个假设进行了分析。结果表明,接触过 STAD 的学生代数成绩有所提高。同样,性别并不影响参与者的代数成绩。建议尼日利亚教育研究发展委员会安排讲习班、培训和研讨会,介绍 STAD 等便于学习的教学策略。
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引用次数: 0
Design-based research–Tension between practical relevance and knowledge generation–What can we learn from projects? 基于设计的研究--实用性与知识生成之间的矛盾--我们能从项目中学到什么?
Q1 Mathematics Pub Date : 2024-01-01 DOI: 10.29333/ejmste/13928
C. Haagen-Schützenhöfer, Markus Obczovsky, Paula Kislinger
Researchers often develop teaching-learning solutions to improve the quality of instruction. Some of these solutions are developed in the paradigm of design-based research (DBR). The output of DBR projects goes beyond design products for practice and includes contributions to local theories about teaching-learning in specific subject areas and contexts as well as knowledge about how to design and implement these processes. Design knowledge and contributions to local theories are intended to construct a cumulative, content-specific body of knowledge about teaching and learning that is transferable to related subject areas or contexts. To make this process work, dimensions of DBR need to be systematically reported. However, DBR projects are sometimes criticized for focusing more on practical output than on reports about research output and the form of cooperation with practitioners. To empirically investigate these presumed voids, we examined DBR projects conducted by the German-speaking physics education research community during the past 20 years.
研究人员经常开发教学解决方案,以提高教学质量。其中一些解决方案是在基于设计的研究(DBR)范式下开发的。基于设计的研究(DBR)项目的成果不仅仅是用于实践的设计产品,还包括对特定学科领域和背景下的教与学的本土理论的贡献,以及关于如何设计和实施这些过程的知识。设计知识和对本地理论的贡献旨在构建一个累积性的、针对具体内容的教与学知识体系,并可将其迁移到相关的学科领域或环境中。为了使这一过程发挥作用,需要系统地报告 "设计性学习 "的各个层面。然而,DBR 项目有时被批评为更注重实际产出,而不是关于研究成果和与实践者合作形式的报告。为了对这些假定的空白进行实证调查,我们对过去 20 年中德语物理教育研究界开展的 DBR 项目进行了研究。
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引用次数: 0
Introduction of Taiwanese literacy-oriented science curriculum and development of an aligned scientific literacy assessment 引进台湾以读写能力为导向的科学课程,开发与之相匹配的科学素养测评
Q1 Mathematics Pub Date : 2024-01-01 DOI: 10.29333/ejmste/13930
Tin-Chang Chang, Yi-Ming Lyu, Huang-Ching Wu, Kao-Wei Min
This article reports on the introduction of Taiwanese new literacy-oriented science curriculum reform and the development of a measure of scientific literacy (SL). Curriculum reform has always been received increasing attention from educators in many countries around the world. Meanwhile, trends in science education policy have emphasized the importance of SL as a transferable outcome and the main goal of science education (Fives et al., 2014). It would seem reasonable, therefore, that the new science curriculum guidelines (NSCG) would be developed for grade 3-grade 12 in Taiwan for making progress toward the goal of SL. In this article, the authors (a) discuss the background of science education reform in Taiwan, (b) introduce and describe the features of NSCG, (c) evaluate the relative strengths and limitations of the present assessments, (d) describe a framework for aligning assessment with NSCG, and (e) conduct a pilot study for item analysis. For the 6th grade level, the pilot test reported an acceptable reliability coefficient, high item difficulty and good discrimination value of scientific literacy assessment (SLA). Further revision is necessary to make available a series of validated and reliable items being developed for assessing students’ SL at various science learning stages. Hopefully, SLA will finally fill the gap of the assessment part of the current science curriculum reform in terms of guiding educators to precisely evaluate students’ SL.
本文报告了台湾以新素养为导向的科学课程改革的引入情况,以及科学素养(SL)测量方法的开发情况。课程改革一直受到世界许多国家教育工作者越来越多的关注。同时,科学教育政策的发展趋势也强调了科学素养作为可迁移成果和科学教育主要目标的重要性(Fives 等人,2014 年)。因此,为台湾三年级至十二年级制定新科学课程指引(NSCG),以实现SL目标似乎是合理的。在本文中,作者(a)讨论了台湾科学教育改革的背景,(b)介绍并描述了《新科学课程指导纲要》的特点,(c)评估了现有评估的相对优势和局限性,(d)描述了根据《新科学课程指导纲要》调整评估的框架,(e)进行了项目分析的试点研究。就六年级而言,试点测试报告显示,科学素养评估(SLA)的信度系数可以接受,项目难度高,区分度好。我们有必要作进一步的修订,以提供一系列经过验证和可靠的项目,用于评估学生在不同科学学习阶段的科学素养。希望科学素养评价最终能填补当前科学课程改革中评价部分的空白,指导教育工作者准确评价学生的科学素养。
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引用次数: 0
Teaching life sciences while integrating teachers’ and learners’ cultural belief systems 在教授生命科学的同时整合教师和学生的文化信仰体系
Q1 Mathematics Pub Date : 2024-01-01 DOI: 10.29333/ejmste/13929
Lydia Mavuru
The paper reports a study, which explored teachers’ perceptions and experiences on integration of cultural belief systems when teaching life sciences. Beliefs have been found to influence teachers’ pedagogical practices and ultimately impact on learning and understanding of concepts. These beliefs can be classified as originating from one’s religion or one’s culture. Life sciences is a subject that deals with real life issues hence has topics that challenge or impact on one’s belief systems. In a qualitative case study research design, 20 experienced life sciences (biology) teachers were purposively selected for the study. Each teacher was interviewed, and data was subjected to content analysis. Findings showed that though teachers strive to suppress their own belief systems in the classrooms, both teachers’ and learners’ beliefs need to be integrated when teaching certain topics. The practice enhances development of critical thinking skills and ultimately learner understanding. These findings allude to the need for teachers’ development in employing contextually relevant pedagogical strategies.
本文报告了一项研究,该研究探讨了教师在教授生命科学时对融入文化信仰体系的看法和经验。研究发现,信仰会影响教师的教学实践,并最终影响对概念的学习和理解。这些信仰可分为源于个人宗教或个人文化的信仰。生命科学是一门涉及现实生活问题的学科,因此有一些课题会挑战或影响个人的信仰体系。本研究采用定性案例研究设计,有目的地选择了 20 名经验丰富的生命科学(生物)教师。对每位教师进行了访谈,并对数据进行了内容分析。研究结果表明,虽然教师在课堂上努力压制自己的信念系统,但在教授某些主题时,教师和学生的信念都需要整合。这种做法能促进批判性思维能力的发展,并最终促进学习者的理解。这些研究结果表明,教师有必要在采用与情境相关的教学策略方面进行发展。
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引用次数: 0
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Eurasia Journal of Mathematics, Science and Technology Education
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