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Why is the mathematics educator called inspiring? 为什么数学教育家被称为鼓舞人心的?
Pub Date : 2022-09-07 DOI: 10.30862/jhm.v5i2.334
R. E. Simamora, J. B. Darmayasa, Jean Gloria Kamara
Inspiration plays a significant role in sparking or enhancing the learning motivation of prospective mathematics teachers (PMTs). Inspiration will also influence the mathematical identity of PMTs’ when they become professional mathematics teachers. A mathematics teacher educator (MTE) can be a source of inspiration for PMTs; hence, a study must identify and explain why an MTE is considered inspiring. This study attempts to develop the theory of inspiring MTEs profiles based on the experience of PMTs. This study included 21 students and 7 lecturers of the Mathematics Education Department in a public university in Indonesia. This qualitative research was conducted employing a grounded theory constructivist approach. The findings revealed that inspiring MTEs possessed the following characteristics: “creating a sense of comfort, being knowledgeable, being motivating, providing fun and enjoyable learning, imparting new insights and comprehension, and being disciplined and authoritative.” According to this theory, an inspiring MTE creates a sense of comfort through their gracious, friendly, humble, and humorous personality. Fun and enjoyable learning in this study is learning that provide a sense of comfort, fun learning, interactive learning, and carrying out evaluations. MTEs give new insight and understanding by explaining in detail, systematically, and easily understood, sharing creative ideas, and providing scaffolding. Implications of this finding are discussed.
灵感在激发或增强准数学教师学习动机方面起着重要的作用。当pmt成为专业数学教师时,灵感也会影响他们的数学认同。数学教师教育(MTE)可以成为pmt的灵感来源;因此,一项研究必须确定并解释为什么MTE被认为是鼓舞人心的。本研究试图在pmt经验的基础上,发展激发mte档案的理论。本研究以印尼一所公立大学数学教育系的21名学生和7名讲师为研究对象。本定性研究采用扎根理论建构主义方法进行。调查结果显示,鼓舞人心的mte具有以下特点:“创造舒适感,知识渊博,激励,提供有趣和愉快的学习,传授新的见解和理解,以及纪律和权威。”根据这一理论,一个鼓舞人心的MTE通过他们亲切、友好、谦逊和幽默的个性创造出一种舒适感。在这项研究中,有趣和愉快的学习是提供舒适感的学习,有趣的学习,互动的学习,并进行评估。mte通过详细、系统、通俗易懂的讲解、分享创意、搭建脚手架等方式,赋予学生新的见解和理解。讨论了这一发现的含义。
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引用次数: 0
Examining purposeful researchable questions in mathematics education 考察数学教育中有目的的研究性问题
Pub Date : 2022-08-13 DOI: 10.30862/jhm.v5i2.260
Natasha N. Ramsay-Jordan, Andrea Crenshaw, Cliff Chestnutt
Often general, and frequently involving scholarly concepts, research questions are the cornerstone of studies. Thus, from their precise wording to their context, research questions play a vital role in uncovering information, determining answers given by participants, and drawing conclusions. However, poorly structured research questions and misalignments to purpose within theoretical and empirical studies can lead to miscommunication and unanswered queries. To this point, this paper discusses the importance of asking purposeful researchable questions in mathematics education and examines what purposeful questioning in mathematics education using quantitative and qualitative research designs entails. An extensive review of literature, is presented with the purpose of identifying strategies for asking purposeful questions, exploring various criteria for judging researchable questions in mathematics education, and discussing the importance of aligning research questions to methodology and frameworks. The key findings reveal that ambiguities of language and the powerful force of context in interpreting the meaning of questions and answers could influence the impact of studies. Implications exist for mathematics and science education scholars who, face various challenges in asking questions that will produce what they want to know. The paper concludes with a brief discussion as to the significance and possibilities of purposeful researchable questions in mathematics education.
研究问题通常是一般性的,经常涉及学术概念,是研究的基石。因此,从他们的精确措辞到他们的背景,研究问题在揭示信息,确定参与者给出的答案和得出结论方面发挥着至关重要的作用。然而,在理论和实证研究中,结构不良的研究问题和与目的的错位可能导致误解和未回答的问题。为此,本文讨论了在数学教育中提出有目的的可研究问题的重要性,并通过定量和定性研究设计来检验数学教育中有目的的问题需要什么。广泛的文献回顾,提出的目的是确定提出有目的的问题的策略,探索在数学教育中判断可研究问题的各种标准,并讨论将研究问题与方法和框架结合起来的重要性。主要发现表明,语言的模糊性和上下文在解释问题和答案的意义方面的强大力量可能会影响研究的效果。这对数学和科学教育学者来说是有影响的,他们在提出问题时面临各种挑战,这些问题将产生他们想知道的东西。文章最后简要论述了有目的的研究性问题在数学教育中的意义和可能性。
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引用次数: 0
Understanding our world in a time of crisis: Mathematics education pedagogy toward financial numeracy 在危机时期理解我们的世界:面向金融计算的数学教育教学法
Pub Date : 2022-06-24 DOI: 10.30862/jhm.v5i2.261
A. Cavalcante, Annie Savard
This paper aims to address some implications for mathematics education regarding the financial and economic implications of the beginning of the COVID-19 pandemic. We use the term financial numeracy to refer to the quantitative aspect of financial education while also arguing for it to be considered a domain of mathematics education. Financial numeracy entails three dimensions: contextual, conceptual, and systemic. We bring three examples of financial implications of the crisis in different countries. Based on these examples, we constructed learning situations that reflect the distinct orientations of each dimension of financial numeracy to clarify the teaching of such a concept in school mathematics. Particularly in a time of crisis, mathematics education must address immediate needs of society as well as contribute to overcoming social challenges. We hope that financial numeracy brings innovative solutions to teach mathematics in a way that helps individuals and communities produce and manage resources while protecting the planet.
本文旨在探讨COVID-19大流行开始的金融和经济影响对数学教育的一些影响。我们使用术语金融算术来指金融教育的定量方面,同时也认为它被认为是数学教育的一个领域。财务计算需要三个维度:上下文、概念和系统。我们举三个例子来说明危机对不同国家的金融影响。基于这些例子,我们构建了反映财务算术各个维度的不同取向的学习情境,以阐明学校数学中财务算术概念的教学。特别是在危机时期,数学教育必须解决社会的迫切需要,并有助于克服社会挑战。我们希望金融计算带来创新的解决方案,以帮助个人和社区在保护地球的同时生产和管理资源。
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引用次数: 1
Ethnomathematics on the Gringsing batik motifs in Javanese culture
Pub Date : 2022-06-11 DOI: 10.30862/jhm.v5i2.265
Adinda Indah Permita, Tien-Trung Nguyen, R. C. I. Prahmana
Mathematics cannot be separated from human life. However, mathematics is often taught directly through formulas and abstract mathematical forms at school and is less associated with students' daily lives. Hence, it makes it difficult for students to understand mathematics and often find it difficult to understand how mathematics can be useful in dealing with various problems in real life. Therefore, school mathematics needs to be reconnected with the reality of human life so that students can easily understand mathematics and use it to solve various daily life problems. This study explores ethnomathematics in Javanese culture, especially in the Gringsing batik motif. The ethnographic method was employed in this study, and the data was collected through literature review, observation, and interviews. The data was then analyzed before and according to the conditions in the field. The results showed that the Gringsing batik motif contains philosophical meanings, cultural values, and mathematical elements of plane shapes and geometric transformations. This research contributes to the context of learning mathematics. In addition, it also increases the knowledge of mathematics and culture and can be used as a reference in learning or similar research.
数学不能与人类生活分开。然而,在学校里,数学通常是通过公式和抽象的数学形式直接教授的,与学生的日常生活联系较少。因此,这使得学生很难理解数学,也很难理解数学在处理现实生活中的各种问题时是如何有用的。因此,学校数学需要重新与人类生活的现实联系起来,使学生能够轻松地理解数学,并利用数学来解决各种日常生活问题。本研究探讨爪哇文化中的民族数学,尤其是青青蜡染主题。本研究采用民族志方法,通过文献查阅、观察、访谈等方式收集资料。然后根据现场条件对数据进行分析。结果表明,青青蜡染母题蕴含着哲学意义、文化价值以及平面形状和几何变换的数学元素。本研究有助于建立数学学习的语境。此外,它还增加了数学和文化的知识,可以作为学习或类似研究的参考。
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引用次数: 1
Monte Carlo method at the 24 game and its application for mathematics education 蒙特卡罗方法在24博弈中的应用及其在数学教育中的应用
Pub Date : 2022-03-26 DOI: 10.30862/jhm.v5i2.250
M. Fitrianawati, Zulhaj Aliansyah, N. R. Peni, I. Farid, L. Hakim
Students often find mathematics a challenging subject and turn it into a scourge for them. Game-based learning, such as “24-card game”, help engage students in a self-paced and fun learning process and thus may overcome students’ math anxiety and promote mental math skills. This research aims to examine how the 24-card game works using the Monte Carlo method and the possibility to overcome students' mathematics anxiety. The meta-analysis method was used to explain Monte Carlo’s simulation to solve the solution for all possible combinations of cards in the game and respectively assign difficulty levels. The student's proficiency level was evaluated based on the divergence value in the number of guesses required to solve the dealt combination at 87% to show full proficiency. The evaluation could also show the math difficulty of advanced operations, such as fractions and grouping games. This game is more efficient in developing students' mental math skills compared to a conventional and rigidly structured classroom lecture.
学生们经常发现数学是一门具有挑战性的学科,并把它变成了他们的祸害。以游戏为基础的学习,如“24张牌游戏”,帮助学生参与一个自主的、有趣的学习过程,从而可以克服学生的数学焦虑,提高心理数学技能。本研究旨在探讨如何使用蒙特卡洛方法的24张牌的游戏工作和可能性,以克服学生的数学焦虑。采用元分析方法解释蒙特卡罗模拟求解游戏中所有可能的纸牌组合的解,并分别分配难度等级。学生的熟练程度是根据在87%的情况下解决处理组合所需的猜测次数的发散值来评估的,以显示完全熟练。评估还可以显示高级运算的数学难度,比如分数和分组游戏。与传统的、结构僵化的课堂讲座相比,这个游戏在培养学生的心理数学技能方面更有效。
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引用次数: 1
The influence of tutoring and learning motivation on mathematics achievement of junior high school students 辅导与学习动机对初中生数学成绩的影响
Pub Date : 2022-03-14 DOI: 10.30862/jhm.v5i1.206
E. Jehadus, M. Tamur, Jihe Chen, K. Perbowo
Many factors influence student academic achievement, including tutoring and learning motivation. This research aimed to describe the influence of tutoring and learning motivation on Year 8 students’ mathematics achievement in one of the junior high schools in Ruteng, Indonesia in the academic year of 2019/2020. This descriptive research with survey design involved 66 students. Data were collected by administering a student questionnaire consisting of 20 questions. The 5-point Likert scale questionnaire used in this research focused on two categories: tutoring and learning motivation. The final semester test scores were used as the data on students' achievement in learning mathematics. The results revealed that the two factors were positively related to students' mathematics achievement; both contributed to student achievement by 18.49%. These findings confirm that tutoring and students’ motivation from teachers or parents are essential because both mediate student achievement. These results provide meaningful knowledge about the importance of teachers or parents providing structured tutoring to support the mathematics achievement of junior high school students.
影响学生学习成绩的因素很多,包括辅导和学习动机。本研究旨在描述辅导和学习动机对印度尼西亚汝腾市一所初中2019/2020学年8年级学生数学成绩的影响。本研究采用问卷调查设计,对66名学生进行描述性研究。数据是通过管理一份包含20个问题的学生问卷来收集的。本研究使用的李克特5分制问卷主要分为两类:辅导和学习动机。以期末考试成绩作为学生数学学习成绩的数据。结果表明,这两个因素与学生的数学成绩呈正相关;两者对学生成绩的贡献率均为18.49%。这些研究结果证实,教师或家长的辅导和学生的动机是必不可少的,因为它们都能调节学生的成绩。这些结果提供了关于教师或家长提供结构化辅导对支持初中生数学成绩的重要性的有意义的知识。
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引用次数: 1
The impact of sending letters in improving teaching-learning process of natural number of pre-service teachers 寄信对改善自然数量职前教师教与学过程的影响
Pub Date : 2022-03-13 DOI: 10.30862/jhm.v5i1.240
Mónica Arnal-Palacián, Nuria Begué, Cristina Blanco
The first contact that a pre-service teacher has with didactics of mathematics is the notion of natural number, being still in the university classroom and not having started working a real classroom. Therefore, the main objective of this work is to relate the knowledge of a trainee teacher to the different difficulties developed by the children and to evaluate the learning processes in a real environment. The participants were 20 future teachers and 40 (9-year-old) children. During the experience, six letters closely related to the contents of the university subject were exchanged; as well as two socialisation letters; and four videos, including two presentation and two farewell videos. Among the results obtained, we highlight that the participating university students have been able to reinforce the knowledge learned in class through the analysis of the children's resolutions, specifically the following: a) counting, b) resolution of additive-concrete situations, c) resolution of multiplicative-concrete situations, d) resolution of a monetary problem, and e) being aware of the manipulation of Cuisenaire's rods.
职前教师与数学教学的第一次接触是自然数的概念,他们还在大学教室里,还没有开始在真正的课堂上工作。因此,这项工作的主要目标是将实习教师的知识与儿童发展的不同困难联系起来,并在真实环境中评估学习过程。参与者是20名未来教师和40名(9岁)儿童。在体验期间,交流了六封与大学学科内容密切相关的信件;还有两封社交信;还有四个视频,包括两个演示视频和两个告别视频。在获得的结果中,我们强调,参与的大学生已经能够通过分析孩子们的决心来巩固在课堂上学到的知识,具体如下:a)计数,b)解决加法-具体情况,c)解决乘法-具体情况,d)解决货币问题,e)意识到操纵Cuisenaire棒。
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引用次数: 0
Learning trajectory for equivalent fraction learning: An insight 等效分数学习的学习轨迹:一种见解
Pub Date : 2022-03-12 DOI: 10.30862/jhm.v5i1.233
V. Adelia, R. Putri, Z. Zulkardi, B. Mulyono
Equivalent fraction is a sub-topic of fractions that highly contributes to explaining the basic concepts of fractions. However, this topic is one of the most challenging topics for students as it involves an advanced and formal concept and various representations. This study aims to present the preliminary result of the learning trajectory on equivalent fractions. This design research consisted of three stages: preparation, implementation, and retrospective analysis. The learning trajectory in the form of a hypothetical learning trajectory (HLT) was designed in the context of measuring cups. The data was collected through documentation, interviews, and class observations. The HLT was implemented to investigate students’ actual learning trajectories. The findings showed that the measuring cup context assists students to easily perceive those different fractions may have the same quantity (equivalent fractions). The learning trajectory consists of two activities. The first one aims to introduce a measurement concept of fractions to students. The second one aims to help students construct the concept of equivalent fractions. Finally, the study findings contribute to further development of learning trajectory on equivalent fractions.
等效分数是分数的一个子主题,对解释分数的基本概念有很大的帮助。然而,对于学生来说,这个话题是最具挑战性的话题之一,因为它涉及到一个高级的、正式的概念和各种各样的表达。本研究旨在提出等效分数学习轨迹的初步结果。本设计研究分为三个阶段:准备阶段、实施阶段和回顾性分析阶段。在量杯背景下,以假设学习轨迹(HLT)的形式设计了学习轨迹。数据是通过文献、访谈和课堂观察收集的。实施HLT是为了调查学生的实际学习轨迹。结果表明,量杯语境有助于学生容易地感知到不同分数可能具有相同的数量(等效分数)。学习轨迹包括两个活动。第一节课旨在向学生介绍分数的测量概念。第二部分旨在帮助学生构建等效分数的概念。最后,研究结果有助于进一步发展等效分数的学习轨迹。
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引用次数: 0
Designing the learning trajectory for the topic of circles through a tambourine context 通过手鼓上下文设计圆主题的学习轨迹
Pub Date : 2022-03-11 DOI: 10.30862/jhm.v5i1.239
A. Juniarti, Z. Jojo, R. C. I. Prahmana
A tambourine is one of the musical instruments commonly used in Islam. It is also used in an extracurricular activity in various schools so that many students are familiar with the instrument, making it relevant for learning mathematics. Furthermore, there is an approach to learning mathematics called Indonesian Realistic Mathematics Education (IRME), where students start the learning with contexts close to their lives. This study aims to design a learning trajectory using the IRME approach with a tambourine context to support students' understanding of circles. This learning progresses from the informal stage to the formal through the IRME approach. The study applied design research with three stages: preliminary design, design experiments, and retrospective analysis. The research subjects were 19 six-grade students in one of the elementary schools in Balangan, South Kalimantan, Indonesia. The instruments used were videos to observe the learning process and how students work on the questions given, photos to reference students’ work, and a test in a student worksheet to obtain data on students’ work. The results reveal the learning trajectory practised using the tambourine as the context seen in the student's daily activities. The learning trajectory consists of four events: assembling the tambourine, drawing an illustration of the tambourine, listing the parts of a circle, and solving a problem related to the parts of the circle. In addition, this study also shows that learning trajectory activities have essential roles in supporting students' understanding of the concept of a circle.
铃鼓是伊斯兰教常用的乐器之一。它也被用于各种学校的课外活动,使许多学生熟悉乐器,使其与学习数学相关。此外,还有一种学习数学的方法,称为印度尼西亚现实数学教育(IRME),学生从接近他们生活的环境中开始学习。本研究旨在以手鼓为背景,运用IRME方法设计学习轨迹,以协助学生理解圆圈。通过IRME方法,这种学习从非正式阶段发展到正式阶段。本研究采用设计研究,分为初步设计、设计实验和回顾性分析三个阶段。研究对象为印度尼西亚南加里曼丹巴兰干一所小学的19名六年级学生。所使用的工具是视频,用于观察学习过程和学生如何解决给定的问题,照片用于参考学生的工作,以及学生工作表中的测试,以获取学生工作的数据。结果揭示了在学生的日常活动中使用手鼓作为背景练习的学习轨迹。学习轨迹由四个事件组成:组装手鼓,绘制手鼓插图,列出圆圈的部件,以及解决与圆圈部件相关的问题。此外,本研究还显示,学习轨迹活动在支持学生对圆概念的理解方面具有重要作用。
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引用次数: 1
The perceived ideal qualities of secondary school mathematics leaders 中学数学领导者的理想素质感知
Pub Date : 2022-03-08 DOI: 10.30862/jhm.v5i1.249
Mohd Khairul Azam Hj Ali Mashod, Dk Nurul 'Izzati Pengiran Omar, Nadiah Maimunah Khanafiah, Nurul Hafizah Haji Alias, Sil Yin Tan, Ani Afifah Haji Mosli, N. Abdullah, M. Shahrill
Effective school leadership is critical for school success. Teachers as leaders have extraordinary influences not only in their classrooms but also in the general school framework. The aspect of teacher leadership provides self-knowledge and the courage to act on that knowledge. However, there is no consensus on what defines teacher leaders and the specific qualities that characterise them. In this study, the insights of twelve conveniently sampled graduate teacher candidates in one of the teacher training institutions in Brunei Darussalam were explored. They were asked to describe the ideal leadership qualities that a secondary school mathematics teacher leader should possess. There were many variations in their responses. However, the overarching finding was that mathematics teacher leaders should have ideal qualities that make them functional within and outside of the classroom. Key attributes such as effective classroom management, content and pedagogical knowledge, effective communication and problem-solving skills, and the ability to contribute to maintaining a healthy school-community partnership were mentioned. This study concluded that in defining teacher leadership, it is essential to define the concept based on teachers’ ability to influence others to achieve set goals within and outside of the classroom.
有效的学校领导对学校的成功至关重要。教师作为领导者,不仅在课堂上,而且在整个学校框架中都具有非凡的影响力。教师领导的方面提供了自我认识和勇气,采取行动的知识。然而,对于教师领导者的定义以及他们的具体品质,人们并没有达成共识。在本研究中,我们对文莱达鲁萨兰国一所教师培训机构的12名研究生教师候选人的见解进行了探讨。他们被要求描述一个中学数学教师领导应该具备的理想领导素质。他们的回答有很多不同。然而,最重要的发现是,数学教师领导者应该具有理想的品质,使他们在课堂内外都能发挥作用。他们提到了有效的课堂管理、教学内容和教学知识、有效的沟通和解决问题的能力以及促进维持健康的学校-社区伙伴关系的能力等关键属性。本研究的结论是,在定义教师领导力时,必须根据教师在课堂内外影响他人实现既定目标的能力来定义这一概念。
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引用次数: 0
期刊
Journal of Honai Math
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