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Proceedings of the 1st International Conference on Mathematics and Mathematics Education (ICMMEd 2020)最新文献

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The Effect of Realistic Mathematics Education and Problem Based Learning Model on Mathematics Problem Solving Ability in Terms of Precondition Mathematics Abilities 从前提数学能力的角度看现实主义数学教育和问题基础学习模式对数学问题解决能力的影响
A. Palinussa, T. Dias, D. A. Ngilawajan
The purpose of this study is to compare two treatments, namely the realistic mathematics education approach (RME) and problem-based learning (PBL) towards students' mathematical problem-solving abilities. To obtain complete information about the comparison of the two models, we also used the non-treatment group as the control class. This research approach is quantitative using quasi-experimental methods. The design of this study is a nonequivalent comparison group design involving 243 students of SMA Negeri 14 Maluku, Indonesia, in the 2019/2020 academic year. The results showed that there were differences in students' problem abilities with the high, medium, and low Precondition Mathematics Abilities (PMA) categories. There is an interaction effect between RME, PBL, and conventional learning models with PMA on students' mathematical problem abilities.
本研究的目的是比较现实数学教育方法(RME)和基于问题的学习(PBL)两种方法对学生数学解决能力的影响。为了获得两种模型比较的完整信息,我们还将非治疗组作为对照类。本研究采用准实验方法进行定量研究。本研究采用非等效对照组设计,研究对象为2019/2020学年印尼马鲁古SMA Negeri 14 Maluku的243名学生。结果表明,学生的问题能力在高、中、低前提数学能力(PMA)类别上存在差异。RME、PBL和传统学习模式对学生的数学问题能力有交互作用。
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引用次数: 0
On High School Students’ Communication Skill in Proof-Based Learning 论实证学习中高中生的沟通技巧
D. Ihdayani, Y. Hartono, C. Hiltrimartin, J. Araiku
This research aims at describing students’ mathematical communication skill through proof-based learning. This research was conducted at a senior high school in Bangka Belitung province involving 29 students. The instructional process and data collection were conducted online using Zoom Cloud Meeting application due to Covid-19 pandemic outbreak. A video about learning materials was prepared and sent to students prior to web meeting via zoom. During the meeting students were asked to work on proof-based worksheet guided by researcher. Test was then used to collect data about students’ communication skill. The result shows the students' mathematical communication skills on the material of Sum and Difference of Sines and Cosines are in the sufficient category with a percentage of 52.6%.
本研究旨在通过实证学习来描述学生的数学沟通能力。本研究在邦加勿里东省一所高中进行,涉及29名学生。由于新冠肺炎疫情的爆发,教学过程和数据收集使用Zoom Cloud会议应用程序在线进行。在网络会议之前,我们准备了一段关于学习材料的视频,并通过zoom发送给学生。在会议期间,学生们被要求在研究员的指导下完成基于证明的工作表。然后使用测试来收集有关学生沟通技巧的数据。结果表明,学生对《正弦余弦和与差》教材的数学沟通能力是充分的,占52.6%。
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引用次数: 0
The Determinant of Pentadiagonal Centrosymmetric Matrix Based on Sparse Hessenberg’s Algorithm 基于稀疏Hessenberg算法的五对角中心对称矩阵行列式
N. Khasanah
ABSTRACT The algorithm of general pentadiagonal matrix has been evaluated before for computational purpose. The properties of this matrix on sparse structure are exploited to compute an efficient algorithm. This article propose a new construction of pentadiagonal matrix having centrosymmetric structure called pentadiagonal centrosymmetric matrix. Moreover, by applying the algorithm of determinant sparse Hessenberg matrix, an explicit formula of pentadiagonal centrosymmetric matrix’s determinant is developed.
为了便于计算,一般五对角矩阵的算法已经被评估过了。利用该矩阵在稀疏结构上的性质,计算出一种有效的算法。本文提出了一种具有中心对称结构的五对角矩阵的新构造,称为五对角中心对称矩阵。此外,利用行列式稀疏Hessenberg矩阵的算法,导出了五对角中心对称矩阵行列式的显式公式。
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引用次数: 0
Developing Cultural Context Teaching Material of Geometry with GeoGebra to Increase Students’ Higher-order Thinking Skill 用GeoGebra开发几何文化情境教材,提高学生高阶思维能力
Juliana M. H. Nenohai, O. E. Nubatonis, D. D. Samo
The purpose of this research is to develop teaching material of cultural context geometry with GeoGebra which is valid, practical and effective based on the theoretical reviews and its support to enhance higher-order thinking ability. This study is a research and development (R & D) that was developed by referring to ADDIE model. The samples are the student of Mathematics Education Department at Nusa Cendana University who consists of 40 students. The data were analyzed by descriptive statistics, n-gain, and one sample pretest-posttest test. The results showed that the teaching material was valid with the average of expert evaluations 4.55 or in the good criterion. Teaching material was practical with the average value of learning activities observation 4.3 or in the good category and the students' responses is 4.05 or in the good category, and teaching material was effective because it empirically can increase the higher-order thinking ability 0.52 or in the medium category. The teaching material of cultural context geometry with GeoGebra is a unification of local knowledge and technology integration that can be used in geometry learning in order to support students’ transition from elementary mathematical thinking level to advanced mathematical thinking
本研究的目的是在理论综述的基础上,利用GeoGebra开发出有效、实用、有效的文化情境几何教材,以提高学生的高阶思维能力。本研究是参照ADDIE模型进行的研究与开发(r&d)。样本为Nusa Cendana大学数学教育系的40名学生。采用描述性统计、n-增益和单样本前测后测检验对数据进行分析。结果表明,该教材的专家评价平均分为4.55分,处于良好水平,是有效的。教材具有实用性,学习活动观察平均值为4.3或处于良好范畴,学生的反应平均值为4.05或处于良好范畴;教材在经验上能提高高阶思维能力0.52或处于中等范畴,是有效的。GeoGebra文化情境几何教材是局部知识与技术整合的统一,可用于几何学习,以支持学生从初级数学思维水平向高级数学思维水平的过渡
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引用次数: 0
Analysis of Herd Immunity on the Mathematical Model of Covid-19 Transmission 群体免疫对新冠病毒传播数学模型的分析
Mia Siti Khumaeroh, A. Firdaus
Many countries in the world, especially Indonesia, are still experiencing an increase number of Covid-19 cases despite the government has implemented many policies, such as an appeal for self-prevention, physical distancing, quarantine and large-scale social restrictions (LSSR) in several areas. Besides the health sector, this change in behavior or activity also has a major impact on other sectors such as education, tourism, economy etc. Herd Immunity, where a group in the population is given a treatment so that their body will be resistant to the virus, becomes another alternative to end this Covid-19 pandemic. In this study, we analyzed a mathematical model of corona virus transmission by involving the herd immunity factor. There are two schemes: (1) by using vaccines and (2) by allowing the virus to spread in the population and the result is the infected population have the immunity. The simulation results show that the use of vaccines can drastically reduce the number of infected individuals. On the other hand, the absence of virus transmission control can increase the number of exposed and infected individuals. However, in terms of time, this scheme will make Covid-19 cases decrease faster than other schemes.
世界上许多国家,特别是印度尼西亚,尽管政府实施了许多政策,如呼吁自我预防、保持身体距离、隔离和在一些地区实施大规模社会限制(LSSR),但Covid-19病例数量仍在增加。除卫生部门外,这种行为或活动的变化也对教育、旅游、经济等其他部门产生重大影响。群体免疫,即对人群中的一群人进行治疗,使他们的身体对病毒产生抵抗力,成为结束Covid-19大流行的另一种选择。在这项研究中,我们分析了一个涉及群体免疫因素的冠状病毒传播的数学模型。有两种方案:(1)使用疫苗;(2)允许病毒在人群中传播,结果是受感染人群具有免疫力。模拟结果表明,疫苗的使用可以大大减少感染个体的数量。另一方面,缺乏对病毒传播的控制会增加接触和感染的人数。但是,从时间上看,这一方案将比其他方案更快地使Covid-19病例减少。
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引用次数: 1
Analysis the Increment of COVID-19 Cases in Indonesia with One of Multivariate Markov Chain Model Parameter
Annisa Martina
The global cases of COVID-19 pandemic extensively increase as in Indonesia as the first two confirmed (positive) cases were reported in 2nd of March 2020 and followed by the first mortality case in 9 days afterwards, 11th of March 2020. In latest situation, the last data collection by author in 5th of November 2020 14,348 died and 425,796 COVID-19 confirmed cases were recorded. Therefore, in this study the author will construct a Multivariate Markov-Chain Model to estimate the increase in COVID-19 patients for confirmed, recovered, and died cases. Multivariate Markov chain is popular model for forecasting by observing current state in various applications. This model is compatible with 3 data sequences (patient types) defined as recovered patient, confirmed, and died with 6 conditions (zero, least, less, fair, ample, and massive). As the result, this study shows transition probability matrix with 3x3 dimension where each element containing 6x6 conditions. The highest transition probability value for the increment of COVID-19 cases in Indonesia on March 11 to November 5, 2020, occurred in a transition from confirmed to confirmed patient with conditions from ample to ample, which had the highest probability value 0.8571 and the highest frequency 78 times.
与印度尼西亚一样,全球COVID-19大流行病例大幅增加,因为在2020年3月2日报告了头两例确诊(阳性)病例,随后在9天后,即2020年3月11日报告了第一例死亡病例。在最新情况下,作者最后一次收集的数据是2020年11月5日,死亡病例为14,348例,确诊病例为425,796例。因此,在本研究中,作者将构建一个多变量马尔可夫链模型来估计COVID-19确诊病例、康复病例和死亡病例的增加。多元马尔可夫链是一种通过观察当前状态进行预测的常用模型。该模型兼容3种数据序列(患者类型),定义为康复患者、确诊患者和死亡患者,具有6种条件(零、最少、较少、公平、充足、大量)。因此,本研究得到了一个3x3维的转移概率矩阵,其中每个元素包含6x6个条件。2020年3月11日至11月5日印度尼西亚新增病例转移概率值最高的是病例从确诊到确诊、病例从充足到充足的过渡,概率值最高为0.8571,频次最高为78次。
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引用次数: 0
Performance Evaluation of New Ranking Function Methods with Current Ranking Functions Using VAM and MM-VAM 基于VAM和MM-VAM的新排序函数方法与现有排序函数的性能评价
Muhtarulloh Fahrudin, Atia Nuraini
This paper discusses the optimal solution for specific types of optimization problems called fuzzy transportation problems using pentagonal fuzzy numbers. Cost value, supply, and the demand for fuzzy transport issues are taken as fuzzy numbers pentagonal. Pentagonal fuzzy numbers are converted to crisp values using functions recommended for new rankings. The purpose of this study is to compare new ranking methods with old rankings as well as Vogel’s Approximation Method (VAM) and Max Min Voge’l Approximation Method (MM-VAM) in finding optimal solutions to fuzzy transportation problems. From the results of the study, it was obtained that the new ranking method with VAM method gets the smallest transportation cost. Press Proceedings article template has many predefined paragraph styles for you to use/apply as you write your paper. To format your abstract, use the Microsoft Word template style: [Abstract]. Each paper must include an abstract. Begin the abstract with the title “Abstract” in bold font, followed by a paragraph with normal 10-point font. Do not cite references in the abstract. Please do not place or cite tables and figures in the abstract either.
本文用五边形模糊数讨论了模糊运输问题的最优解。将模糊运输问题的成本价值、供给和需求作为五边形模糊数。五角形模糊数字转换为清晰的值使用函数推荐新的排名。本研究的目的是比较新的排序方法和旧的排序方法,以及Vogel近似法(VAM)和Max - Min Voge 'l近似法(MM-VAM)在寻找模糊运输问题最优解方面的效果。研究结果表明,采用VAM方法的新排序方法的运输成本最小。Press Proceedings文章模板有许多预定义的段落样式供您在撰写论文时使用/应用。要格式化您的摘要,请使用Microsoft Word模板样式:[摘要]。每篇论文必须包括摘要。摘要以“摘要”开头,用粗体,然后用10号字体写一段话。不要在摘要中引用参考文献。请不要在摘要中放置或引用表格和数字。
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引用次数: 0
The Missing Link Between the Fraction Concept and Its Representation 分数概念及其表示之间缺失的一环
D. A. Oktafiana, H. Tobing, Y. Mariani, E. Marlinda, Ismaini, L. Asri, Darmawijoyo, Somakim
This paper was to describe primary and junior high school students' perceptions of the fraction concept through their representations. The subject of this research was the 5 grade and 7-grade students. This research revealed that students who studied varying images could be used to construct the concept of fractions. In contrast, using a single image could lead to a misconception of the fraction.
本研究旨在探讨中小学生对分数概念的认知。本研究的对象是五年级和七年级的学生。这项研究表明,学习不同图像的学生可以用来构建分数的概念。相反,使用单个图像可能会导致对分数的误解。
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引用次数: 0
The 2nd, 4th, and 6th-Order Finite Difference Schemes for Pollutant Transport Equation 污染物输运方程的二阶、四阶和六阶有限差分格式
N. Karima, I. Magdalena
In this paper, we study the pollutant transport phenomenon using an advection-diffusion equation. To solve the model numerically, we apply the finite difference method. Here we use the second, fourth, and sixth-order explicit finite difference schemes. To validate our numerical models, we compare the numerical results with the existing analytical solution. Further, we conclude that the methods can best approximate the exact solution when using a small Courant number and spatial grid partition. Amongst the three finite difference methods, we observe that the fourth-order FTCS is the best method to simulate the pollutant transport phenomena.
本文用平流扩散方程研究了污染物的输运现象。采用有限差分法对模型进行数值求解。这里我们使用二阶、四阶和六阶显式有限差分格式。为了验证我们的数值模型,我们将数值结果与现有的解析解进行了比较。此外,我们得出结论,当使用小Courant数和空间网格划分时,该方法可以最好地近似精确解。在三种有限差分方法中,我们发现四阶FTCS是模拟污染物输运现象的最佳方法。
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引用次数: 0
Ethnomathematics
Rozie Fachrur, Wulandari Rika, Ningsih Puji Rahayu
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引用次数: 0
期刊
Proceedings of the 1st International Conference on Mathematics and Mathematics Education (ICMMEd 2020)
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