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Students’ interest in Science, Technology, Engineering, and Mathematics (STEM) based on parental education and gender factors 基于父母教育和性别因素的学生对科学、技术、工程和数学(STEM)的兴趣
IF 0.6 Pub Date : 2023-04-01 DOI: 10.29333/iejme/13060
N. Siregar, R. Rosli, S. Nite
The integration of science, technology, engineering, and mathematics (STEM) education in various fields of knowledge is needed to enhance the country’s economic development. STEM education is essential in developing technology towards the Industrial Revolution 4.0 (IR4.0) era. However, in many countries, especially in Indonesia, students are less interested in STEM subjects. This study aims to identify the differences and interactions of student interest in STEM based on parental education and gender. This study uses a quantitative method involving 150 secondary school students at Simanosor Julu, Medan, Indonesia. The results of data analysis based on the mean score indicated that there are differences in students’ interest in STEM-based on gender and parental education. The mean score of male students, based on parental education at the university level, is higher than female students. It is recommended that there are additional study more deeply the STEM interests of students based on (a) social-economic status, (b) rural and urban schools, (c) the relationship between the two variables, and (d) involves students with more numbers.
为了促进国家的经济发展,需要在各个知识领域进行科学、技术、工程和数学(STEM)教育的整合。STEM教育对于开发面向工业革命4.0 (IR4.0)时代的技术至关重要。然而,在许多国家,尤其是印度尼西亚,学生对STEM科目不太感兴趣。本研究旨在确定基于父母教育和性别的学生对STEM兴趣的差异和相互作用。本研究采用定量方法,涉及印度尼西亚棉兰Simanosor Julu的150名中学生。基于平均分的数据分析结果显示,学生对stem的兴趣存在性别和父母教育的差异。根据父母在大学阶段的教育,男学生的平均得分高于女学生。建议基于(a)社会经济地位,(b)农村和城市学校,(c)两个变量之间的关系,(d)涉及更多学生人数,对学生的STEM兴趣进行更深入的研究。
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引用次数: 1
Reflections on mathematics ability, anxiety, and interventions 对数学能力、焦虑和干预的反思
IF 0.6 Pub Date : 2023-04-01 DOI: 10.29333/iejme/12822
B. J. Brewster, Tess Miller
Competency in mathematics is needed to respond to the vast employment opportunities available in the STEM sectors. These employment opportunities all require basic foundational mathematics skills, yet there is a shortfall of mathematics abilities due, in-part, to mathematics anxiety. Mathematics anxiety can surface as fear and avoidance of mathematics and has been linked to low mathematics performance and ability (Ashcraft, 2002; Luttenberger et al., 2018). This thought paper (Snell, n.d.), paper begins with a synthesis of research on mathematics anxiety including the known causal factors: cognitive/affective, social, and genetic as well as the recently proposed causal factor, missed opportunity (Brewster & Miller, 2020). Missed opportunity refers to cases where an individual who is capable academically to comprehend mathematics but has missed the opportunity to learn basic foundational skills in mathematics. Missing the opportunity to learn foundational concepts in mathematics places great stress, which can result in feelings of anxiety. Next, a synthesis of interventions for mathematics anxiety such as mindfulness exercises (Brunyé et al., 2013) and expressive writing (Brewster & Miller, 2022; Park et al., 2014) are discussed, which led to the realization that interventions are more complex than previously reported given that other factors can affect interventions such as duration of writing, quality of instruction, or additional stressors causing anxiety, including test anxiety. Knowing the causal factors influencing an individual’s mathematics anxiety may prove beneficial to designing more focused and influential interventions.
数学能力是应对STEM领域大量就业机会的必要条件。这些就业机会都需要基本的基础数学技能,但数学能力的不足,部分原因是数学焦虑。数学焦虑可以表现为对数学的恐惧和回避,并与较低的数学表现和能力有关(Ashcraft, 2002;Luttenberger等人,2018)。这篇思想论文(Snell, n.d),论文首先综合了数学焦虑的研究,包括已知的因果因素:认知/情感、社会和遗传,以及最近提出的因果因素,错失的机会(Brewster & Miller, 2020)。错失的机会是指一个人在学术上有能力理解数学,但却错过了学习数学基本技能的机会。失去学习数学基础概念的机会会带来很大的压力,这可能会导致焦虑感。接下来,综合了对数学焦虑的干预措施,如正念练习(bruny等人,2013)和表达性写作(Brewster & Miller, 2022;Park et al., 2014),这导致人们认识到干预措施比以前报道的更复杂,因为其他因素会影响干预措施,如写作时间、教学质量或引起焦虑的额外压力源,包括考试焦虑。了解影响个人数学焦虑的原因可能有助于设计更有针对性和更有影响力的干预措施。
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引用次数: 1
Supporting novice mathematics teachers: The impact of an e-mentoring and video-based professional development program on teachers’ noticing skills 支持数学新手教师:基于电子辅导和视频的专业发展计划对教师注意技能的影响
IF 0.6 Pub Date : 2023-04-01 DOI: 10.29333/iejme/13091
Mustafa Guler, R. D. Taylan, M. Baki, Damla Demirel, D. Celik, Esra Bukova Guzel, Fatma Aslan-Tutak, Aytug Ozaltun Celik
This paper focuses on e-mentoring of novice mathematics teachers as professional development, and reports findings of the e-mentoring practices enriched with videos to improve noticing skills of novice teachers. A single group pre- and post-test study was conducted with the participation of 17 mentees, novice middle school mathematics teachers. Participants’ noticing skills were assessed through a whole-class teaching video shown to them before and after the intervention. The responses of the teachers to the video assessment were analyzed considering attending, interpreting and decision-making dimensions of noticing. The results revealed that the e-mentoring program improved the novice mathematics teachers’ noticing skills significantly in all dimensions.
本文主要关注数学新手教师的电子辅导作为专业发展,并报告了通过视频丰富的电子辅导实践来提高新手教师注意技能的结果。本研究以17名初学数学教师为对象,进行单组测试前和测试后的研究。在干预之前和之后,参与者的注意技能通过向他们播放的整个课堂教学视频进行评估。从注意的参与、解释和决策三个维度分析教师对视频评估的反应。结果显示,电子辅导方案在各维度上显著提高了初学数学教师的注意技能。
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引用次数: 0
Exploring the relationship between tacit models and mathematical infinity through history 通过历史探索默契模型与数学无限性的关系
IF 0.6 Pub Date : 2023-04-01 DOI: 10.29333/iejme/12823
Tamara Díaz-Chang, Elizabeth H. Arredondo
In this article we address the historical and epistemological study of infinity as a mathematical concept, focusing on identifying difficulties, counter-intuitive ideas and paradoxes that constituted implicit, unconscious models faced by mathematicians at different times in history, representing obstacles in the rigorous formalization process of this mathematical concept. It is shown how the active and conscious questioning of these models led to a process of axiomatization of mathematical infinity, which was completed with the works of Cantor (1883) and Robinson (1974). The implemented methodology is supported by a qualitative and argumentative bibliographic research based on content analysis from a meta-ethnography. From this research, information is obtained about the unconscious mathematical structures students are confronted with and the conscious patterns of reasoning they must develop to overcome difficulties and obstacles that these models produce, and thus achieve an adequate understanding of mathematical infinity.
在本文中,我们将讨论作为数学概念的无限的历史和认识论研究,重点是识别困难,反直觉的想法和悖论,它们构成了历史上不同时期数学家所面临的隐含的,无意识的模型,代表了这个数学概念的严格形式化过程中的障碍。它显示了对这些模型的积极和有意识的质疑是如何导致数学无限性的公理化过程的,这是由康托尔(1883)和罗宾逊(1974)的作品完成的。所实施的方法是由基于元民族志内容分析的定性和论证书目研究支持的。从这项研究中,获得了关于学生面临的无意识数学结构的信息,以及他们必须发展的有意识的推理模式,以克服这些模型产生的困难和障碍,从而实现对数学无限性的充分理解。
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引用次数: 0
Lanzhou Index of Trees and Unicyclic Graphs 兰州树与单环图索引
IF 0.6 Pub Date : 2023-03-30 DOI: 10.47443/ejm.2023.008
Qiyue Li, Hanyuan Deng, Zikai Tang
Let G be a simple graph with vertex set V ( G ) . The Lanzhou index of G is defined as Lz ( G ) = (cid:80) u ∈ V ( G ) d G ( u ) d G ( u ) 2 , where d G ( u ) denotes the degree of the vertex u in G and G is the complement of G . In this paper, we establish an upper bound on the Lanzhou index for trees of order n with maximum degree ∆ . Additionally, we obtain the minimum and maximum values of the Lanzhou index for unicyclic graphs of order n . Moreover, we determine the Lanzhou index’s maximum value for chemical trees of order n .
设G是一个顶点集V (G)的简单图。G的兰州指数定义为Lz (G) = (cid:80) u∈V (G) d G (u) d G (u) 2,其中dg (u)表示顶点u在G中的度数,G是G的补。本文建立了最大次为∆的n阶树的兰州指数的上界。此外,我们还得到了n阶单环图的兰州指数的最小值和最大值。此外,我们还确定了n阶化学树的兰州指数最大值。
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引用次数: 1
Hermite–Hadamard–Type Fractional–Integral Inequalities for (p,h)–Convex Fuzzy–Interval–Valued Mappings (p,h) -凸模糊区间值映射的hermite - hadamard型分数积分不等式
IF 0.6 Pub Date : 2023-03-13 DOI: 10.47443/ejm.2023.004
Vuk Stojiljkovi´c
In this paper, fuzzy-interval-valued functions of the ( p, h ) -convex type, defined recently by Khan et al. [ AIMS Math. 8 (2023) 7437–7470], are studied. Several Hermite-Hadamard-type inequalities in the said setting are obtained. A Hermite-Fejer-type inequality is also obtained, which generalizes several recently published results. Moreover, in order to supplement the obtained results, suitable numerical examples are given.
本文研究了最近由Khan等人[AIMS数学,8(2023)7437-7470]定义的(p, h) -凸型的模糊区间值函数。在上述情况下,得到了几个hermite - hadamard型不等式。得到了一个hermite - fejer型不等式,它推广了最近发表的几个结果。此外,为了补充已得到的结果,给出了适当的数值算例。
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引用次数: 2
Higher Gradient Bounds for a Class of Higher-Order Nonlinear Systems 一类高阶非线性系统的高梯度界
IF 0.6 Pub Date : 2023-02-22 DOI: 10.47443/ejm.2022.044
Mahmoud Qafsaoui
In this article, fundamental L p -estimates and the large-time behavior for higher derivatives of solutions to a generalized class of higher-order nonlinear parabolic systems are studied.
本文研究了一类广义的高阶非线性抛物型系统解的高阶导数的基本L - p估计和大时性。
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引用次数: 0
Reflections from planning and implementing a modelling task 规划和实现建模任务的感想
IF 0.6 Pub Date : 2023-01-09 DOI: 10.29333/iejme/12821
Ayşe TEKİN DEDE, Esra Bukova Guzel
The aim of this study is to investigate both the planning and implementation process of a modelling task by a middle school mathematics teacher. The participant of the study, which was conducted as a single case study, is a middle school mathematics teacher who have knowledge and experience in modelling. The data collecting tools of this study were the lesson plans of the teacher, the observation notes taken by the researchers during the implementation of the modelling task, the video records of the implementation, students’ solution papers and the voice records of the pre- and final-interview conducted with the teacher. Whole data were analyzed according to a framework for modelling implementations developed by the authors through descriptive analysis. The teacher planned his in-class implementation to consolidate the circle concept and revised an existing modelling task by developing appropriate materials for the task. He asked students to arrange their desks appropriate to group work, decided to enable students to evaluate both the implementation and their peers, and announced their students that they would present their group solution and evaluate each other at the end of the lesson. During the implementation, he first reminded prior knowledge about circle and then presented the materials. He shared instructions about group work in the context of sharing social norms and gave information about the peer assessment form, which the students filled at the end of the lesson. During the students were solving the task, he intervened about enabling self-assessment in the groups, considering realistic values and comparing mathematical results with the problem context. In addition, during the solution, he tried to establish socio-mathematical norms by making explanations. After the solution process ended, student groups presented their solution approaches and discussed different solutions by comparing each solutions. Peer assessment form and affective evaluation form regarding the implementation were filled by the students at the end of the implementation. This study contributed the literature regarding modelling implementations and presented a different view about teacher actions in planning and implementing a modelling task.
本研究旨在探讨一位中学数学教师在建模任务的策划与实施过程。本研究的参与者是一位具有建模知识和经验的中学数学教师,该研究是作为单一案例进行的。本研究的数据收集工具为教师的教案、研究者在建模任务实施过程中所做的观察笔记、建模任务实施过程中的视频记录、学生的解决方案论文以及与教师访谈前和访谈结束时的语音记录。根据作者通过描述性分析开发的建模实现框架对整个数据进行分析。老师计划在课堂上实施,以巩固圆的概念,并通过为任务开发合适的材料来修改现有的建模任务。他要求学生们安排适合小组作业的课桌,决定让学生们同时评价实施情况和他们的同龄人,并宣布他们将在课程结束时展示他们的小组解决方案并相互评价。在实施过程中,他首先提醒了关于圆的先验知识,然后展示了材料。他分享了关于在共享社会规范的背景下进行小组工作的指导,并提供了学生在课程结束时填写的同伴评价表的信息。在学生们解决任务的过程中,他介入让小组进行自我评估,考虑现实价值,并将数学结果与问题背景进行比较。此外,在解决问题的过程中,他试图通过解释来建立社会数学规范。在解决过程结束后,学生小组展示了他们的解决方案,并通过比较每个解决方案来讨论不同的解决方案。在实施结束时,由学生填写关于实施的同伴评估表和情感评估表。本研究贡献了关于建模实施的文献,并对教师在规划和实施建模任务中的行为提出了不同的观点。
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引用次数: 1
Teachers’ appraisal of various aspects of the efficiency of homogeneous and heterogeneous learning groups 教师对同质和异质学习小组效率各方面的评价
IF 0.6 Pub Date : 2023-01-06 DOI: 10.29333/iejme/12810
Marina Cotic, Daniel Doz, Milena Valenčič Zuljan, Amalija Žakelj, D. Felda
In the present study, we were interested in the appraisal by teachers who have had experience with an individual form of differentiation of the efficiency of grouping learners into homogenous or heterogeneous groups. In the study, seven aspects were thus considered: (1) the learning performance and motivation of learners, (2) the learners’ activity, (3) didactic ways of adapting teaching to diverse learners, (4) the impact on the formation of learners’ personality, (5) cooperation among learners, (6) opportunities for professional development, and (7) cooperation with parents. The research has shown that there is a statistically significant difference between the teachers who teach in homogeneous groups and the teachers who teach in heterogeneous groups in all the seven aspects of the appraisal of the efficiency of grouping learners into homogenous or heterogeneous groups. Regarding most of the assertions, teachers belonging to both groups perceive the way of teaching they perform as having the most advantages.
在本研究中,我们感兴趣的是那些有过将学习者分组为同质或异质组的效率的个别形式的区分经验的教师的评价。因此,本研究考虑了七个方面:(1)学习者的学习表现和动机;(2)学习者的活动;(3)适应不同学习者的教学方式;(4)对学习者个性形成的影响;(5)学习者之间的合作;(6)专业发展的机会;(7)与家长的合作。研究表明,同质组教师与异质组教师在对学习者同质组或异质组分组效率评价的七个方面均存在统计学上的显著差异。对于大多数断言,属于这两个群体的教师都认为他们的教学方式最有优势。
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引用次数: 1
Pre-service mathematics teachers investigating the attributes of inscribed circles by technological and theoretical scaffolding 职前数学教师利用技术和理论支架探究内切圆的属性
IF 0.6 Pub Date : 2023-01-06 DOI: 10.29333/iejme/12803
R. Segal, Moshe Stupel
The benefits of technological and theoretical scaffolding were observed when pre-service teachers aiming to teach upper elementary grades were given three learning-based geometrical inquiry tasks involving inscribed circles. They were asked to collaboratively examine the accompanying geometrical illustration and data for some new or interesting feature and then propose a hypothesis resulting from their observations and prove them.Due to the difficulty generally involved in proposing and proving geometrical hypotheses, two forms of scaffolding were provided: theoretical scaffolding based on revising previous learning or specific attributes of the given data and technological scaffolding in the form of specifically designed GeoGebra applets that allowed dynamic observation of the attributes of the geometrical shapes and the changes they underwent during modification.We found that the two forms of scaffolding led to relatively pre-service teachers’ high levels of success. They exhibited high levels of interest and participation, were engaged in the tasks, and underwent high-quality learning processes. In follow-up interviews, they confirmed that the exercise improved their inquiry skills, and developed their pedagogical and technological knowledge.
当教授小学高年级的职前教师被赋予三个涉及内切圆的基于学习的几何探究任务时,技术和理论脚手架的好处被观察到。他们被要求共同研究随附的几何插图和数据,以寻找一些新的或有趣的特征,然后根据他们的观察提出一个假设并证明它们。由于提出和证明几何假设通常存在困难,因此提供了两种形式的支架:基于修改先前学习或给定数据的特定属性的理论支架和专门设计的GeoGebra小程序形式的技术支架,该小程序允许动态观察几何形状的属性及其在修改过程中所经历的变化。我们发现,这两种形式的脚手架导致职前教师相对较高的成功水平。他们表现出高度的兴趣和参与,参与到任务中,并经历了高质量的学习过程。在后续的访谈中,他们证实练习提高了他们的探究技巧,并发展了他们的教学和技术知识。
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引用次数: 0
期刊
International Electronic Journal of Mathematics Education
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