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Etnomatematika: Eksplorasi Budaya Sasak sebagai Sumber Belajar Matematika Sekolah Dasar 人种数学:萨萨克文化探索作为小学数学学习的资源
Pub Date : 2020-06-09 DOI: 10.15642/jrpm.2020.5.1.1-13
Asri Fauzi, A. N. Rahmatih, M. Sobri, R. Radiusman, A. Widodo
The purpose of this research is to describe the results of the exploration of ethnomathematics of Sasak culture that can be used as a source of learning mathematics. This type of research is exploratory qualitative research with an ethnographic approach. This research focuses on buildings, crafts, arts, and traditional snacks. The research instrument is the researcher himself. While the method of data collection by interview, field studies, and documentation. Data analysis techniques with triangulation are data reduction, data presentation, and drawing conclusions. The results showed that Sasak cultural products can be used as a source of learning mathematics, especially on the elements of geometry including rectangles, triangles, trapezoid, circles, rhombus, laying-kites, cones, cylinders, and pyramid. Learning resources derived from Sasak culture, if properly utilized, will create meaningful mathematics learning for students.
本研究的目的是描述Sasak文化的民族数学的探索结果,可以作为学习数学的来源。这种类型的研究是采用民族志方法的探索性定性研究。这项研究的重点是建筑、工艺品、艺术和传统小吃。研究工具就是研究者自己。通过访谈、实地调查和文献资料收集资料的方法。三角测量的数据分析技术包括数据简化、数据表示和得出结论。结果表明,Sasak文化产品可以作为学习数学的来源,特别是几何元素,包括矩形、三角形、梯形、圆形、菱形、放风筝、锥体、圆柱体和金字塔。Sasak文化的学习资源,如果使用得当,将为学生创造有意义的数学学习。
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引用次数: 6
Kemampuan Berpikir Kreatif Siswa SMP dalam Menyelesaikan Soal Open-Ended 中学生在解决开放式问题方面的创造性思维能力
Pub Date : 2019-12-31 DOI: 10.15642/JRPM.2019.4.2.143-156
L. Setianingsih, Riawan Yudi Purwoko
This study aims to determine students’ creative thinking skills to solve arithmetic progression and series with the open-ended method. The study uses a qualitative method with a case study approach. The subjects in this study were three students of junior high school have high mathematical abilities. Data were collected by tests, interviews, field notes, and documentation. Data were analyzed using the triangulation method to gain a deeper understanding of the subject under study. The results of this study show that the student's ability to creative thinking because it meets three indicators of creative thinking, namely fluency, flexibility, and novelty. For the research conducted to get good results, the subject should find answers that can be categorized in creative thinking indicators in the form of novelty.
本研究旨在运用开放式方法,测试学生在求解等差数列时的创造性思维能力。本研究采用案例研究的定性方法。本研究的研究对象为三名具有较高数学能力的初中生。通过测试、访谈、现场记录和文档收集数据。数据分析采用三角法,以获得更深入的了解所研究的主题。本研究结果表明,学生的创造性思维能力,因为它符合创造性思维的三个指标,即流畅性,灵活性和新颖性。为了使研究取得好的结果,受试者应该以新颖性的形式找到可以归类为创造性思维指标的答案。
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引用次数: 4
Deskripsi Proses Kognitif Siswa SMP dalam Menyelesaikan Masalah Matematika Berdasarkan Modes Of Representation Teori Bruner 根据布鲁纳理论的代表模式,对中学生解决数学问题的认知过程的描述
Pub Date : 2019-06-24 DOI: 10.15642/JRPM.2019.4.1.58-71
A. Amalia, T. Yunianta
There are three steps of cognitive processes, that is: 1) acquire new information, 2) transform information; and 3) test the relevance and accuracy of knowledge or evaluation. This study aims to describe the students the cognitive process of junior high school to solve mathematical problems based on Bruner's three modes of representation. The research is qualitative descriptive. The subjects were three students of junior high school; each of them is with high, medium, and low abilities. The results showed that the cognitive processes of high and medium abilities were able to acquire information and transform it to solve the problems in the enactive, iconic, and symbolic representation. For the testing relevance and accuracy, high-ability subject only works in the enactive representation. Middle-ability does in the enactive and symbolic representation. The low-ability subject was able to do all three cognitive processes on questions the enactive representation, but other questions in the iconic and symbolic representation cannot be solved.
认知过程有三个步骤,即:1)获取新信息;2)转换信息;3)检验知识或评价的相关性和准确性。本研究旨在以布鲁纳的三种表征模式为基础,描述初中生解决数学问题的认知过程。该研究是定性描述性的。研究对象为三名初中生;他们每个人都有高、中、低能力。结果表明,高、中等能力的认知过程能够获取信息并将其转化为解决动作表征、符号表征和符号表征问题。为了测试的相关性和准确性,高能力被试只在动作表征中工作。中等能力表现在动作表征和符号表征上。低能力被试在动作表征问题上能够完成所有三个认知过程,而在符号表征和符号表征问题上则无法解决。
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引用次数: 0
Kemampuan Metakognitif dan Komunikasi Matematis dalam Pemecahan Masalah Matematika 数学突破中的数学认知和数学通信能力
Pub Date : 2019-06-24 DOI: 10.15642/JRPM.2019.4.1.32-47
Sutini Sutini
This descriptive qualitative study aims to describe the metacognitive and communicative abilities of the third-semester students of Mathematics Education of UIN Sunan Ampel Surabaya. Forty students were given a test consists of 2 essay problems of number theory. Three of the answer sheets that each one representing students with high, medium, and low scores were analyzed. Findings show that the students' ability in both aspect are unsatisfactory regardless of their different scores. They are don't show their understanding of the concepts and principles of number theories, some of them still use mathematical terms and notes, and the majority still have the wrong calculation because they not use the complete and correct algorithm. The students' ability in mathematical communication is poor because they can't write the correct mathematical symbols and can't put the mathematical ideas in an acceptable, logical order. They have written the answers that seem to the right answers, but the arrangement of the answers is irrational and jumping, resulting in the answers in low comprehensibility.
本描述性质的研究旨在描述苏南安pel泗水大学数学教育第三学期学生的元认知和交际能力。40名学生参加了一个由两道数论习题组成的测试。分析了高、中、低分学生的三张答题纸。调查结果显示,尽管成绩不同,学生在这两方面的能力都不尽人意。他们没有表现出对数论概念和原理的理解,有些人仍然使用数学术语和注释,大多数人仍然有错误的计算,因为他们没有使用完整和正确的算法。学生的数学交流能力较差,因为他们不能写出正确的数学符号,不能将数学思想按可接受的逻辑顺序排列。他们写出了看似正确的答案,但答案的排列是不合理的和跳跃的,导致答案的可理解性低。
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引用次数: 7
Pengaruh Kecerdasan Logika Matematika Terhadap Disposisi Matematis Siswa 数学逻辑智能对学生数学偏见的影响
Pub Date : 2019-06-24 DOI: 10.15642/JRPM.2019.4.1.48-57
Anah Maemanah, Widodo Winarso
This study aims to determine the influence of logic smart on students' mathematical dispositions. The method is quantitative with ex post facto approach — the population of class XI MIPA MAN 2 Cirebon and three samples taken by random sampling. Data collection uses logic smart tests and questionnaires was then analyzed using a simple regression test. Analysis and interpretation of data show that logic smart of students at coherent level with the average value is 65.93 and 57%, mathematical disposition of students is at a high level with a percentage of the average indicator value is 70%, and there is a significant influence between logic smart with the mathematical disposition of 63.2% and a significance value of 0.00<0.05. So, the teacher should improve the logic of smart students through logical thinking, as well as counting ability accompanied by observations to solve mathematical problems because it has implications for the ability of students' mathematical dispositions.
本研究旨在确定逻辑智能对学生数学倾向的影响。该方法采用事后分析的方法进行定量分析,采用随机抽样的方法抽取3个样本。数据收集使用逻辑智能测试和问卷调查,然后使用简单的回归测试进行分析。对数据的分析和解释表明,逻辑智能水平处于连贯水平的学生与平均值分别为65.93和57%,数学倾向的学生处于较高水平,占平均指标值的百分比为70%,数学倾向的学生与63.2%的逻辑智能之间存在显著影响,显著性值为0.00<0.05。因此,教师应该通过逻辑思维来提高聪明学生的逻辑能力,以及通过观察来解决数学问题的计数能力,因为这对学生的数学倾向能力有影响。
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引用次数: 6
Analisis Kesalahan Penyelesaian Soal Cerita Berdasarkan Kriteria Watson
Pub Date : 2019-06-24 DOI: 10.15642/JRPM.2019.4.1.11-22
Sri Hariyani, Fitria Nur Aisyah, Riski Nur Istiqomah Dinullah
This study aims to analyze errors by students in problem-solving of mathematical story based on Watson criteria. The subjects of this study were two high-ability students, two moderate-ability students, and two low-ability students. This study at class VII-C SMP NU Sunan Giri Kepanjen. The instruments used are written tests and interviews — the validity of the data checking by the triangulation of sources that compare test results and interview data. Data analysis used is data reduction, data presentation, and conclusions. The students' errors were analyzed using the Watson error category, which consisted of 8 errors. The results showed that based on Watson's error criteria, the mistakes that occurred were inaccurate data, improper procedures, skill hierarchy problems, missing data, nothing manipulation directly, conflict level response, missing conclusions and in addition to the seven categories. The results of this study are expected to be an input for the teacher about the types of student's errors at SMP Sunan Giri Kepanjen.
本研究旨在分析学生在基于沃森标准的数学故事解题中的错误。本研究以两名高能力学生、两名中等能力学生和两名低能力学生为研究对象。本研究在SMP 7 - c班NU Sunan Giri Kepanjen。使用的工具是书面测试和访谈-通过三角测量比较测试结果和访谈数据的来源来检查数据的有效性。使用的数据分析是数据简化、数据呈现和结论。使用Watson错误分类对学生的错误进行分析,共有8个错误。结果表明,基于沃森的错误标准,发生的错误是数据不准确,程序不当,技能层次问题,数据缺失,无直接操作,冲突级响应,缺失结论以及除了这七个类别之外。本研究的结果可望为教师提供有关SMP苏南吉里科班班学生错误类型的资料。
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引用次数: 7
Analisis Kesalahan Matematis Mahasiswa Teknik Sipil pada Mata Kuliah Kalkulus II 分析二年级土木工程专业学生的数学错误
Pub Date : 2019-06-24 DOI: 10.15642/JRPM.2019.4.1.1-10
Zukhrufurrohmah Zukhrufurrohmah, Adi Slamet Kusumawardana
This research’s purpose is to describe the mathematical errors of civil engineer college students in subject Calculus II. The research’s method uses a qualitative approach that are reducing data, serving data, and conclude. Based on the research, it found that the major error to solve the problems of Calculus II is manipulating algebra form. The error of calculating is the second one after the error of manipulating algebra form. The researcher also finds that even the college students choose the right formula to solve the problems, they make an error in implementing the formula that they were chosen.
本研究的目的是描述土木工程专业学生在微积分II科目中的数学误差。本研究的方法采用定性方法,即减少数据、服务数据、总结结论。在研究的基础上,发现解决微积分II问题的主要错误是对代数形式的操纵。计算误差是继代数形式操作误差之后的第二大误差。研究者还发现,即使大学生选择了正确的公式来解决问题,他们也会在执行他们选择的公式时犯错误。
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引用次数: 3
Pengembangan Alper Silabu pada Materi Bilangan Bulat Kelas IV
Pub Date : 2019-06-24 DOI: 10.15642/JRPM.2019.4.1.72-84
Laurentius Pradipta Yudhautama, Novisita Ratu
This study imns to teach the concept of integer addition and subtract operations in elementary schools by using ALPER SILABU. Using the ADDIE model consists of five phase (Analysis, Design, Development, Implementation, and Evaluation) to develop ALPER SILABU. ALPER SILABU has gone through tests of validity, practicality, and effectiveness. The results of ALPER SILABU validity obtained 97.6%, which means the media is valid. In practicality, the results of the study obtained 93.3% toal score which means the media is practical. The results of the field trials obtained an N-Gain score of 0.81 which is in the high category. The N-Gain results show that effective ALPER SILABU increases the understanding of students' concepts of integer addition and subtraction operations. Thus, the results of ALPER SILABU for teaching the concepts of addition operations and reduction in mathematical integers are valid, practical, and effective.
本研究旨在利用ALPER SILABU进行小学整数加减运算的概念教学。使用ADDIE模型包括五个阶段(分析、设计、开发、实现和评估)来开发ALPER SILABU。ALPER SILABU已经通过了有效性、实用性和有效性的测试。ALPER SILABU效度测试结果为97.6%,证明该介质有效。在实用性方面,本研究的结果获得了93.3%的总分,说明该媒体具有实用性。田间试验的N-Gain得分为0.81,处于较高水平。N-Gain结果表明,有效的ALPER SILABU提高了学生对整数加减运算概念的理解。因此,ALPER SILABU的结果对数学整数的加法运算和约简概念的教学是有效的、实用的和有效的。
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引用次数: 0
Pemberian Scaffolding Berdasarkan Kesalahan Berpikir Siswa Dalam Memecahkan Masalah Matematika 脚手架的奖励是基于学生解决数学问题时的思维错误
Pub Date : 2018-12-15 DOI: 10.15642/JRPM.2018.3.2.161-172
Rosdiana Kaka, Anton Prayitno, Abdul Hamid
This research was aimed to elaborate on the form of scaffolding given by learners on algebra problem-solving. The approach used is descriptive qualitative. The study conducted in a junior high school in Malang Regency with 25 students and only two students were selected as research subjects to be given scaffolding level 2. Data collection method begins by requiring learners to solve algebra and next identify the pattern of mistakes or mistakes. Learners who have wrong answers, used as research samples. The results prove the form of scaffolding given the subject. If the subject experiences an error in understanding the problem, the scaffolding is given asking the subject to re-read the problem properly and carefully and give direction questions. However, if the subject has difficulty in making the planning of the settlement, the scaffolding given is giving the subject the opportunity to rearrange the design of the right answer. If the subject experiences an error in carrying out the planning, the scaffolding given is asking the subject to pay attention to the mathematical concept and to be careful in operating algebra.
这项研究的目的是详细说明脚手架的形式,由学习者在代数问题的解决。所使用的方法是描述性定性的。这项研究是在玛琅县的一所初中进行的,共有25名学生,只有两名学生被选为研究对象,给予2级脚手架。数据收集方法首先要求学习者解决代数问题,然后识别错误或错误的模式。有错误答案的学习者,作为研究样本。结果证明了给定主题的脚手架形式。如果被试在理解问题时出现了错误,就会给被试一个提示,要求被试正确、仔细地重新阅读问题,并给出指导问题。但是,如果被试在解决方案的规划上有困难,那么给出的脚手架就是给被试重新安排正确答案设计的机会。如果受试者在执行计划时出现错误,给出的脚手架是要求受试者注意数学概念并小心操作代数。
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引用次数: 2
Analisis Kemampuan Representasi Matematis dalam Pemecahan Masalah Geometri serta Faktor-Faktor yang Mempengaruhinya 分析解析几何问题及其影响因素的数学表现能力
Pub Date : 2018-12-15 DOI: 10.15642/JRPM.2018.3.2.146-160
R. Ar, Nurfadilah Mahmud
This is qualitative research with a descriptive-explorative approach that aims to determine students' mathematical representation skills in solving Geometry problems. The population is all students in the mathematics education department who study Basic Geometry. The main subject was chosen by stratified technique and purposive sampling. The instruments are placement tests, diagnostic tests, and guided interviews. Data collection uses a triangulation method that aims to examine legitimate data. The results showed that 1) subjects with high skills always present visual representations and mathematical expressions, 2) subjects with intermediate skills present visual representations and mathematical expressions, and verbal but less representative representations, 3) subjects with low skills don’t present visual representations and mathematical expressions and verbal representations of problem-solving steps; and 4) there are several factors that influence the ability of mathematical representation to solve geometric problems, among others, subjects are less able to present problems in geometric patterns, because the subject does not understand the problem.
这是一项定性研究,采用描述性-探索性方法,旨在确定学生在解决几何问题时的数学表达能力。人口是所有在数学教育系学习基础几何的学生。采用分层法和目的抽样法选择研究对象。这些工具包括分班测试、诊断测试和指导面试。数据收集使用三角测量方法,目的是检查合法数据。结果表明:1)高技能被试呈现视觉表征和数学表达;2)中等技能被试呈现视觉表征和数学表达,并有语言表征,但代表性较少;3)低技能被试不呈现视觉表征、数学表达和语言表征;4)影响数学表示解决几何问题的能力有几个因素,其中,受试者不太能够以几何图案表示问题,因为受试者不理解问题。
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引用次数: 10
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Jurnal Review Pembelajaran Matematika
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