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Geoboard Teaching Aid on Similarity and Symmetry Topics for Elementary School Students 小学生相似与对称题目的地理板教具
Pub Date : 2022-06-03 DOI: 10.32939/ejrpm.v5i1.1088
A. Abdussakir, Ainur Firmansyah, Dewi Rosikhoh, Nur Laili Achadiyah
Learning media in the form of teaching aids was necessary for learning in elementary schools caused students in this grade were in the concrete operational stage. This study aimed to determine the feasibility, attractiveness, and effectiveness of the Geoboard teaching aid on similarity and symmetry topics for fifth-grade of elementary school students. The development of the Geoboard teaching aid in this study used the Borg and Gall model. Subjects of feasibility consisted of three experts and one practitioner, attractiveness subjects consisted of 6 students, and effectiveness subjects consisted of fifth-grade students in one public elementary school in Mojokerto, East Java. The results showed that the feasibility of the Geoboard teaching aid on similarity and symmetry topics obtained a percentage score of 91% on the material aspect, 96% on the media design aspect, 90% on the mathematics learning aspect, and 90% on the practical aspect. The percentage of the attractiveness test score reached 99.03%. The data analysis results by independent sample t-test showed that the Geoboard teaching aid significantly improved student learning outcomes. Overall, it could conclude that the Geoboard teaching aid on similarity and symmetry topics was feasible, attractive, and effective for fifth-grade students.
教具形式的学习媒介是小学阶段学习所必需的,因为这个年级的学生正处于具体操作阶段。本研究旨在探讨地板教教具对小学五年级学生相似性与对称性主题的可行性、吸引力与有效性。在本研究中,Geoboard教学辅助工具的开发使用了Borg和Gall模型。可行性研究对象为3名专家和1名从业人员,吸引力研究对象为6名学生,有效性研究对象为东爪哇Mojokerto一所公立小学的五年级学生。结果表明,Geoboard教具在相似和对称主题上的可行性在材料方面达到91%,在媒体设计方面达到96%,在数学学习方面达到90%,在实践方面达到90%。魅力测试成绩占比达到99.03%。独立样本t检验的数据分析结果显示,Geoboard教具显著提高了学生的学习成果。综上所述,我们可以得出这样的结论:相似和对称主题教学辅助工具对五年级学生是可行的、有吸引力的和有效的。
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引用次数: 0
Metaphorical Thinking of Junior High School Students in Solving Algebra Problems 初中生在解决代数问题中的隐喻思维
Pub Date : 2022-06-01 DOI: 10.32939/ejrpm.v5i1.919
Julia Noviani
Metaphorical thinking is one way of thinking in building abstract concepts through concrete things. Abstract ideas in metaphorical thinking are metaphorized into real-world things. This study aims to describe the metaphorical thinking profile of junior high school students in solving algebraic problems. The problem-solving steps used are the Polya model and the stages of metaphorical thinking using the CREATE criteria by Siler. This research is qualitative research using a descriptive approach. This study involved one of the seventh-grade students in a private junior high school in Surabaya who got the highest score on the preliminary test, namely the mathematical ability test. The data collecting technique employed in this study was problem-solving assignments and semi-structured interviews. Time triangulation was performed to assess the data from this study's credibility. Based on the analysis results, the subject has not been optimal in revealing the CREATE criteria for metaphorical thinking. The research subject has not been able to find a suitable metaphor for the algebra problem, so the subject did not reveal the Connect and Relate criteria. However, the subject revealed Explore criteria by designing mathematical models on the algebraic problem. The subject was able to determine the mathematical processes needed to solve the problem for the Analyze criteria, and the subject was also able to explain the procedures she took before. The subject discovered the Transform criteria by inferring and interpreting data based on earlier work. Last, the subject revealed the Experience criteria by explaining a new challenge using the model that had been created previously.
隐喻思维是通过具体事物构建抽象概念的一种思维方式。隐喻思维中的抽象概念被隐喻成现实世界的事物。本研究旨在描述初中生解题时的隐喻思维状况。所使用的解决问题的步骤是Polya模型和隐喻思维的阶段,使用的是silver的CREATE标准。本研究采用描述性方法进行定性研究。本研究涉及泗水一所私立初中的一名七年级学生,他在初试即数学能力测试中获得了最高分。本研究采用的数据收集技术是问题解决作业和半结构化访谈。采用时间三角测量法来评估本研究数据的可信度。从分析结果来看,被试在揭示CREATE隐喻思维标准方面并不是最优的。由于研究对象无法找到一个合适的代数问题的隐喻,所以研究对象没有揭示连接和关联准则。然而,该学科通过设计代数问题的数学模型揭示了探索准则。受试者能够确定解决Analyze标准问题所需的数学过程,并且受试者还能够解释她之前采取的程序。该主题通过推断和解释基于早期工作的数据发现了Transform标准。最后,该主题通过使用先前创建的模型解释一个新的挑战来揭示经验标准。
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引用次数: 0
Gerlach and Ely’s Learning Model: How to Implement It to Online Learning for Statistics Course Gerlach和Ely的学习模式:如何在统计学课程的在线学习中实施
Pub Date : 2022-01-12 DOI: 10.32939/ejrpm.v4i2.987
A. Surur
Statistics is a compulsory subject that is very useful for students, so, in online learning, lecturers need to determine a suitable learning model. Lecturers can apply specific learning models that are adapted to the situation. The existence of characters in Gerlach and Ely's complete learning model can be a choice for lecturers in carrying out their learning so that even though learning is carried out online, the needs needed by students are still met. The purpose of the research is to describe the design of the Gerlach and Ely learning model, which is carried out online in the statistics course. The research method is field research with data obtained through observational studies of the learning process, interviews with students taking Statistics courses, and documentation of the learning process and the results of student assignments. The data analysis used Spradley Model. The results of this study are that students and lecturers can do online learning by maximizing some of the available applications with improvements to the media used. The media must be easily accessible to support fluency when learning. The lecturer prepares all the learning needs in the stages of Gerlach and Ely's learning activities. The advantages of this applied model are that it provides detailed stages in learning to determine learning objectives to the analysis stage of the results of the feedback provided by students. It can guide learning to achieve the objectives of the planned learning. The details of Gerlach and Ely's learning model need to be emphasized so that all stages can be carried out according to the systematics in its application.
统计学是一门对学生非常有用的必修课,因此,在在线学习中,讲师需要确定一个合适的学习模式。讲师可以根据具体情况应用特定的学习模式。Gerlach和Ely的完整学习模型中字符的存在可以作为讲师进行学习的一种选择,即使是在网上进行学习,也能满足学生的需要。本研究的目的是描述Gerlach和Ely学习模型的设计,该模型是在统计学课程中在线进行的。研究方法是实地调查,通过对学习过程的观察研究、对统计学课程学生的访谈、学习过程和学生作业结果的记录获得数据。数据分析采用Spradley模型。这项研究的结果是,学生和讲师可以通过改进所使用的媒体,最大限度地利用一些可用的应用程序来进行在线学习。媒体必须易于使用,以支持学习时的流畅性。讲师在Gerlach和Ely的学习活动的各个阶段准备了所有的学习需求。这种应用模式的优点是,它提供了详细的学习阶段,以确定学习目标,并对学生提供的反馈结果进行分析。它可以指导学习以实现计划学习的目标。需要强调Gerlach和Ely的学习模型的细节,以便在应用过程中按照系统的方式进行各个阶段的学习。
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引用次数: 1
How do Students Think in Translating Verbal Representation to Graphics? 学生在将口头表征翻译成图形时是如何思考的?
Pub Date : 2022-01-09 DOI: 10.32939/ejrpm.v4i2.1004
Ummul Huda, D. Afriyani, M. Mardiana, Wiladahtul Fitri
This research is based on the variety of students' work in completing mathematical translations, especially from verbal representations to graphs. This study aimed to analyze the path of students' mathematical translation thinking from verbal representations to graphs. Thirty-two students were involved in completing the mathematical translation task, and four students were selected as research subjects. The supporting instruments in this research are in the form of mathematical translation tasks and interview guidelines. The data analysis step begins by grouping the students' work and making a transcript of the interview results. Next, the researcher explored and coded the students' work, found differences in the mathematical translational thinking path, explained the mathematical translation process for each path, reported the findings, interpreted the findings, and validated the research results by triangulating data sources. This study resulted in two types of students' mathematical translational thinking paths, namely the complete and incomplete construction translational thinking path. The difference between these two paths lies in the completeness of cognitive activity in each step of mathematical translation. The results of this study are used as considerations in designing meaningful mathematics learning activities.
这项研究是基于学生完成数学翻译的各种工作,特别是从口头表示到图表。本研究旨在分析学生数学翻译思维从言语表征到图形化的发展路径。32名学生参与完成数学翻译任务,其中4名学生被选为研究对象。本研究的辅助工具是数学翻译任务和访谈指南。数据分析步骤首先是对学生的工作进行分组,并将面试结果记录下来。接下来,研究人员对学生的作业进行了挖掘和编码,发现了数学翻译思维路径的差异,解释了每个路径的数学翻译过程,报告了发现,解释了发现,并通过三角数据源验证了研究结果。本研究产生了两种类型的学生数学翻译思维路径,即完整构建型和不完整构建型翻译思维路径。这两种路径的区别在于数学翻译的每一步认知活动的完备性。本研究结果可作为设计有意义的数学学习活动的参考。
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引用次数: 0
Student’s Learning Obstacle in Calculus Course 微积分课程中学生的学习障碍
Pub Date : 2021-12-12 DOI: 10.32939/ejrpm.v4i2.1114
Ria Deswita, Selvia Erita, F. Ningsih
Calculus courses have become the basis of other mathematics courses. However, students often find obstacles in this course that cause low mastery of calculus. Therefore we need an in-depth analysis of students' obstacles in learning calculus to develop proper learning materials and methods. This research aims to analyze the students’ learning obstacles in solving mathematical problems in calculus courses. This research is a qualitative descriptive study. The subjects of this study were first-semester students of the Mathematics Department at one of the Islamic institutes in Jambi, Indonesia. The subject selection technique used is purposive sampling, while the data collection techniques used questionnaires and interviews. Based on data analysis, it was found that there were five types of errors made by students in solving mathematical problems in a calculus course, namely conceptual errors, algorithm errors, calculation errors, algebraic operations errors, and careless errors. Also, there were two types of learning obstacles experienced by students in the calculus course: epistemological obstacles and didactic obstacles. Epistemological obstacles related to conceptual errors, limited understanding of concepts, and errors in analyzing questions. While didactic obstacles related to difficulties in understanding teaching materials and inaccuracy of teaching methods. Further research is needed to overcome learning obstacles that occur in the form of developing appropriate learning materials according to the abilities and characteristics of students and applying appropriate learning models and methods.
微积分课程已经成为其他数学课程的基础。然而,在这门课程中,学生经常发现一些障碍,导致他们对微积分的掌握程度较低。因此,我们需要深入分析学生学习微积分的障碍,制定合适的学习材料和方法。本研究旨在分析学生在微积分课程中解决数学问题的学习障碍。本研究为定性描述性研究。本研究的对象是印度尼西亚占碑市一所伊斯兰学院数学系一学期的学生。使用的主题选择技术是有目的的抽样,而数据收集技术使用问卷调查和访谈。通过数据分析发现,在微积分课程中,学生在解题过程中出现的错误主要有五种,即概念错误、算法错误、计算错误、代数运算错误和粗心错误。此外,学生在微积分课程中所经历的学习障碍有两种类型:认识论障碍和教学障碍。认识论障碍与概念错误、对概念的有限理解和分析问题时的错误有关。而教学障碍则与理解教材的困难和教学方法的不准确有关。如何根据学生的能力和特点开发合适的学习材料,采用合适的学习模式和方法来克服学习障碍,还需要进一步的研究。
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引用次数: 1
Weaknesses of Euclidean Geometry: A Step of Needs Analysis of Non-Euclidean Geometry Learning through an Ethnomathematics Approach 欧几里得几何的弱点:民族数学方法下非欧几里得几何学习需求分析的一步
Pub Date : 2021-11-10 DOI: 10.32939/ejrpm.v4i2.1015
K. U. Z. Nugroho, Y. L. Sukestiyarno, Adi Nurcahyo
Non-Euclidean Geometry is a complex subject for students. It is necessary to analyze the weaknesses of Euclidean geometry to provide a basis for thinking about the need for learning non-Euclidean geometry. The starting point of learning must be close to students' local minds and culture. The purpose of this study is to describe the weaknesses of Euclidean geometry as a step in analyzing the needs of non-Euclidean geometry learning through an ethnomathematics approach. This research uses qualitative descriptive methods. The subjects of this study were students of Mathematics Education at State Islamic University (UIN) Fatmawati Soekarno Bengkulu, Indonesia. The researcher acts as a lecturer and the main instrument in this research. Researchers used a spatial ability test instrument to explore qualitative data. The data were analyzed qualitatively descriptively. The result of this research is that there are two weaknesses of Euclidean geometry, namely Euclid’s attempt to define all elements in geometry, including points, lines, and planes. Euclid defined a point as one that has no part. He defined a line as length without width. The words "section", "length", and "width" are not found in Euclidean Geometry. In addition, almost every part of Euclid’s proof of the theorem uses geometric drawings, but in practice, these drawings are misleading. Local culture and ethnomathematics approach design teaching materials and student learning trajectories in studying Non-Euclid Geometry.
非欧几何对学生来说是一门复杂的学科。有必要分析欧几里得几何的弱点,为思考学习非欧几里得几何的必要性提供依据。学习的出发点必须贴近学生当地的思想和文化。本研究的目的是描述欧几里得几何的弱点,作为通过民族数学方法分析非欧几里得几何学习需求的一个步骤。本研究采用定性描述方法。本研究的对象是印度尼西亚国立伊斯兰大学(un) Fatmawati Soekarno Bengkulu数学教育专业的学生。研究者在本研究中扮演讲师和主要工具的角色。研究人员使用空间能力测试仪器来探索定性数据。对数据进行定性、描述性分析。这项研究的结果是,欧几里得几何有两个弱点,即欧几里得试图定义几何中的所有元素,包括点、线、面。欧几里得把点定义为没有部分的点。他把线定义为没有宽度的长度。“截面”、“长度”和“宽度”这些词在欧几里得几何中找不到。此外,欧几里得定理的证明几乎每个部分都使用了几何图形,但在实践中,这些图形具有误导性。在非欧几里得几何的学习中,地方文化和民族数学方法设计了教材和学生的学习轨迹。
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引用次数: 1
Opportunity to Learn Euclidean Geometry in Two Mathematics Textbooks of Tenth Grade in South Africa 在南非两本十年级数学教科书中学习欧几里得几何的机会
Pub Date : 2021-11-05 DOI: 10.32939/ejrpm.v4i2.976
U. Ogbonnaya
Textbooks play a central role in the teaching and learning of mathematics. In some schools, textbooks serve as the only resource material available to teachers and students. Yet, little is known about the learning opportunities in mathematics textbooks in most countries. This study investigated the opportunities to learn Euclidean Geometry in two textbooks of tenth-grade mathematics in South Africa. It examined the content coverage, content organization, and the type of tasks used in teaching the topic in the textbooks. This study followed a case study research design and a qualitative approach. The Curriculum and Assessment Policy Statement's (CAPS) grade 10 Euclidean geometry curriculum and Gracin's mathematical activity types served as frameworks for the analyses. The data were analyzed following the deductive content analysis approach. The result shows that the contents of Euclidean geometry were well covered in both textbooks following the curriculum and the contents were presented in logical and sequential order to enhance learning. In addition, it was found that the tasks in the textbooks were predominantly of argumentation and reasoning type. It was concluded that the textbooks offer sufficient opportunities for learning Euclidean geometry as specified in the curriculum for the grade level. However, the inclusion of a wider range of tasks in the future editions of the textbooks was recommended.
教材在数学教学中起着核心作用。在一些学校,教科书是教师和学生可用的唯一资源材料。然而,在大多数国家,人们对数学教科书中的学习机会知之甚少。本研究调查了在南非两本十年级数学教科书中学习欧几里德几何的机会。它检查了教科书中教学主题的内容覆盖范围、内容组织和任务类型。本研究采用个案研究设计和定性研究方法。课程与评估政策声明(CAPS)的10年级欧几里得几何课程和格拉辛的数学活动类型作为分析的框架。采用演绎内容分析法对数据进行分析。结果表明,两本教材都很好地涵盖了欧几里得几何的内容,并遵循课程的要求,内容的呈现是合乎逻辑的、有顺序的,以促进学习。此外,教科书中的任务以论证和推理类型为主。结论是,教科书提供了足够的机会来学习欧几里得几何的课程规定的年级水平。但是,建议在今后的教科书版本中列入范围更广的任务。
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引用次数: 1
Students' Interest in Online Learning in Higher Education During the Covid-19 Pandemic 新冠肺炎疫情期间学生对高等教育在线学习的兴趣
Pub Date : 2021-11-03 DOI: 10.32939/ejrpm.v4i2.932
D. Setiana, Betty Kusumaningrum, R. Y. Purwoko
The Covid-19 pandemic in various countries has had an impact on changes in the education system. The implementation of learning has changed from classroom to online learning. The implementation of online learning certainly affects the learning interest of students. This study was conducted to determine student interest in learning during the Covid-19 pandemic. The subjects in this study were students of the Mathematics Education Study Program at a private university in Yogyakarta as many as 72 students who were selected using the simple random sampling method. The data in this study were collected through Google Form questionnaire. The questionnaire contains 15 items of multiple choice and each item contains “why” question to obtain in-depth data about the answers given by respondents. The data of questionnaire analyzed descriptive qualitatively. The results indicated that students' interest in online learning needed to be insreased. It can be seen from students’ responses to the questionnaire that only 15.3% of students gave a positive response to online learning and 32% to online exams. In general, students prefer classroom learning compared to online learning in terms of student attendance, interaction of lecturer-students, and technical in learning. Online learning tends to reduce student interest in attending lectures. Limitations of internet access, lecturer delivery methods and the amount of workloads are factors causing the decline in student interest. By knowing students' interest in learning and the factors that cause low students’ interest in learning, lecturers can improve the quality of learning to increase student interest in online learning.
Covid-19大流行在各国对教育系统的变化产生了影响。学习的实施已经从课堂学习转变为在线学习。网络学习的实施必然会影响学生的学习兴趣。本研究旨在确定Covid-19大流行期间学生的学习兴趣。本研究以日惹市一所私立大学数学教育研究计划的学生为研究对象,采用简单随机抽样的方法选取了72名学生。本研究的数据是通过Google Form问卷收集的。问卷包含15个选择题,每个选择题都包含“为什么”的问题,以获得受访者回答的深度数据。对问卷数据进行描述性定性分析。结果表明,学生对在线学习的兴趣有待提高。从学生对问卷的回答可以看出,只有15.3%的学生对在线学习和32%的学生对在线考试有积极的反应。总体而言,在出勤率、师生互动和学习的技术性方面,学生更喜欢课堂学习而不是在线学习。在线学习往往会降低学生听课的兴趣。互联网接入、讲师授课方式和工作量的限制是导致学生兴趣下降的因素。通过了解学生的学习兴趣和导致学生学习兴趣低的因素,教师可以提高学习质量,提高学生对在线学习的兴趣。
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引用次数: 7
Students' Self-Confidence and Their Mathematical Communication Skills in Solving Problems 学生解决问题的自信心与数学沟通能力
Pub Date : 2021-11-02 DOI: 10.32939/ejrpm.v4i2.770
Retta Aulia, Rohati Rohati, M. Marlina
This research aims to analyze students' mathematical communication skills in solving mathematical problems based on their self-confidence. This research was a qualitative research method with descriptive approach. This research was conducted at one of junior high school in Muaro Jambi, Jambi, Indonesia. The research subjects were six students consisting of two students with high self-confidence category, two students with medium category, and two students with low category who were selected using purposive sampling technique. This research used student self-confidence questionnaires, problem-solving tests, and interviews to confirm the level of students' mathematical communication skills. The data were analyzed by descriptive technique. The results showed that the subjects with high self-confidence had met all indicators of mathematical communication skills, while the subjects with medium self-confidence had met three of four indicators of mathematical communication skills, and the subjects with low self-confidence only fulfill one of four indicators of mathematical communication skills.
本研究旨在分析学生在自信心基础上解决数学问题的数学沟通能力。本研究采用定性研究和描述性研究相结合的方法。这项研究是在印度尼西亚Jambi的Muaro Jambi的一所初中进行的。研究对象为6名学生,采用有目的抽样法抽取高自信类别2名、中等自信类别2名、低自信类别2名。本研究采用学生自信问卷、问题解决测试和访谈来确认学生的数学沟通能力水平。采用描述技术对数据进行分析。结果表明:自信心高的被试满足了数学沟通技巧的全部指标,自信心中等的被试满足了数学沟通技巧4项指标中的3项,自信心低的被试只满足了数学沟通技巧4项指标中的1项。
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引用次数: 4
How to Teach the Basic Concept of Function in Senior High School: a Lesson Study 如何教授高中函数的基本概念:一项课程研究
Pub Date : 2021-09-10 DOI: 10.32939/ejrpm.v4i1.775
Yalei Shao, Ying Zhou, T. Wijaya, Li Gan
Teaching methods are a complex topic in mathematics education. This study aims to analyze the teaching methods of previous relevant studies and design a new lesson study on how to teach the topic of functions at the high school level in China. Lesson study focuses on the basic concepts of function and problem-solving abilities. The researcher uses the research and development method to teach the material function at the high school level. This Lesson Study is used to teach in China. The researcher explains 4 important aspects in designing a lesson study, namely the introduction or opening section, the instructional section or core section, the assessment section, and the closing section.
教学方法是数学教育中一个复杂的课题。本研究旨在分析以往相关研究的教学方法,设计一种新的关于中国高中如何教授函数主题的课程研究。课程学习侧重于功能的基本概念和解决问题的能力。本研究采用研究开发的方法在高中阶段进行材料功能的教学。本课程研究在中国用于教学。研究人员解释了设计课程研究的4个重要方面,即介绍或开始部分,教学部分或核心部分,评估部分和结束部分。
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引用次数: 0
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Edumatika
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