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IMPROVING LEARNING MATHEMATICS ACTIVITY WITH THE THINK PAIR SHARE LEARNING MODEL 运用思维对共享学习模式促进数学学习活动
Pub Date : 2022-06-17 DOI: 10.35316/alifmatika.2022.v4i1.52-64
Nafida Hetty Marhaeni, N. Nuryadi
Students are required to be actively involved during the learning process in accordance with the development of 21st-century learning. Student learning activities can occur through expressing opinions, solving problems, and discussing materials during the learning process. Learning models should always implement the stimulation of these abilities. Thus, this study is to analyze the influence of the Think Pair Share learning model on students' learning activities. This study was an experimental study with a pretest-posttest control group design. The population in this study was all class 8 as many as 192 students in one of the junior high schools in Yogyakarta, Indonesia. Students belonging to class VIIIA (32 students) were the experimental students' group, and students in VIIIC (32 students) were the control group.  Data was collected based on 15 items of students’ activeness in learning mathematics. The results demonstrated that the application of the Think Pair Share learning model had an impact on the activeness of student learning. In addition, Think Pair method can improve the activeness of learning mathematics students, higher than in classes that implemented conventional learning models (25.31 > 15.78). This is because the application of the Think Pair share learning model provides opportunities for students to think, respond, and present problems provided by teachers so that students are fully involved during the mathematics learning process. The recommendations for further research can be carried out in several schools not just one school, student learning activity can also be increased by using other cooperative models, and can be further improved whether there are other competences that can boost the model's usage.
根据21世纪学习的发展,要求学生在学习过程中积极参与。在学习过程中,学生的学习活动可以通过表达意见、解决问题和讨论材料来进行。学习模式应该始终实现这些能力的激发。因此,本研究旨在分析思维对共享学习模式对学生学习活动的影响。本研究为实验研究,采用前测后测对照组设计。本研究的研究对象为印度尼西亚日惹市一所初中八年级共192名学生。实验组为viia班32名学生,对照组为viic班32名学生。根据学生学习数学积极性的15个项目收集数据。结果表明,思维对共享学习模式的应用对学生学习的积极性有影响。此外,Think Pair方法可以提高学生学习数学的积极性,比采用传统学习模式的班级更高(25.31 bb0 15.78)。这是因为Think Pair共享学习模式的应用为学生提供了思考、回应和提出教师提供的问题的机会,使学生在数学学习过程中充分参与。建议进一步的研究可以在多个学校进行,而不仅仅是一个学校,学生的学习活动也可以通过使用其他合作模式来增加,并且可以进一步提高是否有其他能力可以促进模型的使用。
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引用次数: 1
MATHEMATICS PROBLEM SOLVING BASED ON COGNITIVE STYLE TO DETERMINE OF STUDENT REASONING ABILITIES IN THE COVID-19 PANDEMIC ERA 基于认知风格的数学问题解决:新冠肺炎大流行时代学生推理能力的确定
Pub Date : 2022-06-15 DOI: 10.35316/alifmatika.2022.v4i1.37-51
M. Maswar, Mohammad Tohir, Diyah Ayu Rizki Pradita, Dian Noer Asyari, W. Sardjono, Erna Selviyanti
Mathematical problem solving has become an important issue that was often discussed in school classes including in the covid-19 pandemic era. This research aimed to describe the level of reasoning ability of students in solving mathematical problems based on the cognitive style of  field-dependent and field-independent cognitive styles. The research approach used a was mixed-method of quantitative and qualitative. The subject of this study were students of Ibrahimy 1 Junior High School of Situbondo. The data collection techniques used were the form of tests and interviews. The data of the written test and interview results were tested for validity by triangulation. This research indicated that:(1) there were differences in student’s mathematical reasoning abilities between-FD and FI subjects; (2) the FI subject was able to re-examined, evaluated, and drew valid conclusions, but not for FD subject; (3) the FI subject has fulfilled all four mathematics reasoning indicators and classified as a very capable category; (4) the FD subject has fulfilled all three indicators and classified as capable enough category; and (5) generally, the level of mathematical reasoning ability of FI subjects group was very capable category as many as 21,43% and 14,29 % for FD subjects group.
包括新冠疫情时代在内,数学解决问题已经成为学校课堂上经常讨论的重要问题。本研究旨在描述基于场依赖型和场独立型认知风格的学生解决数学问题的推理能力水平。研究方法采用定量与定性相结合的方法。本研究以斯图邦多易卜拉欣第一初中的学生为研究对象。使用的数据收集技术是测试和访谈的形式。笔试数据和面试数据采用三角测量法进行效度检验。本研究表明:(1)在数学推理能力方面,fd组与FI组存在差异;(2) FI受试者能够重新检查、评估并得出有效结论,而FD受试者则不能;(3) FI科目完成了所有四项数学推理指标,被归类为非常有能力的类别;(4) FD学科满足全部三项指标,并被列为足够能力类别;(5)总体而言,FI组数学推理能力水平为非常强,分别为21.43%和14.29%。
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引用次数: 1
DESIGN THINKING IN MATHEMATICS EDUCATION FOR PRIMARY SCHOOL: A SYSTEMATIC LITERATURE REVIEW 设计思维在小学数学教育中的应用:系统的文献综述
Pub Date : 2022-05-12 DOI: 10.35316/alifmatika.2022.v4i1.17-36
Muhammad Zaim George Man, R. Hidayat, Mohamad Khairuzzamir Kashmir, Nurul Fatihah Suhaimi, Mashitah Adnan, Azizah Saswandila
Design Thinking is a knowledge as a thriving innovation practice and an approach to creative problem solving. The main purpose of this study is to review existing studies which are related to the Design Thinking in Mathematics Education for primary school. The search terms were used by inserting the suitable keywords based on the main topic such as "design thinking", "mathematics education", "mathematics", "primary school" and "elementary school". Systematic Literature Review (SLR) was conducted to gain information for better understanding regarding our topic. This SLR was performed through two search engines which were SpringerLink and Scopus. In reporting this study, the PRISMA guidelines were followed. We identified and screened 1123 articles published between 2017 until 2021 in SpringerLink and Scopus. After elimination of duplicates and non-relevant topics, there were 23 articles remained based on the inclusion and exclusion criteria. The limited number of studies on the main topic as design thinking for primary school caused the small numbers of articles were selected. This is because there are many articles about teachers and post-graduate. Our findings indicated that the year of 2021 was mostly research conducted, followed by the year of 2020, 2019 and 2017 meanwhile there is no research conducted in 2018. Concerning the geographical distribution of the authors, the findings indicated that the predominant authors that developing the design thinking were in Germany, Australia, USA, Singapore and Switzerland, and only a few research conducted in Hong Kong, Sweden, Cyprus, Israel, Turkey, UK, Spain, Canada, Netherlands, Malaysia, and mixed countries. From the results, we can see that this design thinking should be practiced by teachers in their teaching regardless of whether it is mathematics or any other subject. In conclusion, design thinking among the students, especially primary school students nowadays, is indispensable to ensure that our country is always moving forward in the era of globalization.
设计思维是一种蓬勃发展的创新实践和创造性解决问题的方法。本研究的主要目的是回顾现有的有关小学数学教育中设计思维的研究。搜索词是根据主题插入合适的关键词,如“设计思维”、“数学教育”、“数学”、“小学”和“小学”。为了更好地理解我们的主题,我们进行了系统文献综述(SLR)。这个单反是通过SpringerLink和Scopus两个搜索引擎执行的。在报告本研究时,遵循PRISMA指南。我们在SpringerLink和Scopus中筛选了2017年至2021年间发表的1123篇文章。在消除重复和不相关的主题后,根据纳入和排除标准,还剩下23篇文章。关于小学设计思维这一主题的研究数量有限,因此选取的文章数量较少。这是因为有很多关于教师和研究生的文章。我们的研究结果表明,2021年主要是研究,其次是2020年、2019年和2017年,2018年没有研究。关于作者的地理分布,研究结果表明,发展设计思维的作者主要来自德国、澳大利亚、美国、新加坡和瑞士,只有少数研究来自香港、瑞典、塞浦路斯、以色列、土耳其、英国、西班牙、加拿大、荷兰、马来西亚和混合国家。从结果中我们可以看出,无论是数学还是其他学科,教师在教学中都应该实践这种设计思维。综上所述,设计思维在学生中,尤其是现在的小学生中,对于确保我们的国家在全球化时代始终向前发展是必不可少的。
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引用次数: 3
MATHEMATICAL ISSUES IN TWO-DIMENSIONAL ARITHMETIC FOR ANALYZE STUDENTS' METACOGNITION AND CREATIVE THINKING SKILLS 数学问题在二维算术中分析学生的元认知和创造性思维能力
Pub Date : 2021-12-31 DOI: 10.35316/alifmatika.2021.v3i2.170-183
Mohammad Tohir, Muhasshanah Muhasshanah
This study aimed to analyze the level of students' metacognition skills and creative thinking in the generalization of a two-dimensional arithmetic sequence. A qualitative descriptive is a scientific approach used in this study. Students' of the Mathematics Education Study Program in Tarbiyah Faculty of Ibrahimy University are subjects in the study. Through this article, the author will describe the results of the research in the combinatorics course. The initial data was collected by assigning open problem-solving assignments to students and conducting documentation studies on students in generating arithmetic generalization patterns based on function formulae. Then, students are assigned to complete the second task, which is to compile a two-dimensional arithmetic sequence based on the multilevel function formula of arranged arithmetic. The analysis model of Miles and Huberman is the analytical methodology used in this study. The collected data indicated that the level of students’ creative thinking skills in combinatorics could be in the category of creative enough (16.67%), creative (50%), and very creative (33.33%). While the other analyzed data showed that the student’s level of metacognitive on level 3 (77.78%) and the remainder on level 4 (22.22%). These analysis results are influenced by several factors such as accuracy in compiling numbers and expanding data, conceptual mastery of arithmetic progression permutation concept, and its application, the tendency of students’ to rely on memorization and imitation of the examples.
本研究旨在分析学生在二维等差数列泛化过程中的元认知技能和创造性思维水平。定性描述是本研究中使用的一种科学方法。易卜拉欣大学Tarbiyah学院数学教育研究项目的学生为研究对象。通过这篇文章,作者将描述在组合学课程中的研究成果。最初的数据是通过给学生分配开放式问题解决作业和对学生进行基于函数公式生成算术泛化模式的文档研究来收集的。然后,分配给学生完成第二个任务,即基于排列算法的多级函数公式,编写一个二维等差数列。Miles和Huberman的分析模型是本研究使用的分析方法。收集到的数据表明,学生在组合数学方面的创造性思维能力水平可以处于足够创造性(16.67%)、创造性(50%)和非常创造性(33.33%)的范畴。而另一组分析数据显示,学生的元认知水平为三级(77.78%),其余为四级(22.22%)。这些分析结果受以下几个因素的影响:编数和展开数据的准确性、对等差数列概念的概念掌握及其应用、学生依赖记忆和模仿实例的倾向。
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引用次数: 3
HIGH ORDER THINKING SKILLS AND DIGITAL LITERACY SKILLS INSTRUMENT TEST IN MATHEMATICS 数学高阶思维技能和数字素养技能仪器测试
Pub Date : 2021-12-30 DOI: 10.35316/alifmatika.2021.v3i2.159-169
Dzulfiqar Satria Waliyuddin, D. Sulisworo
Developing evaluation instruments in the student learning process in interactive, fun, challenging, motivating, and developing students 'creativity and independence were needed to improve students' High Order Thinking Skills (HOTS) and digital literacy skills (DLS). HOTS and digital literacy were part of the 21st-century skills that were important for every individual. This study developed a test instrument integrated with Augmented Reality (AR) and Google Scholar (GS) to encourage HOTS and students' digital literacy skills. This type of research was development research based on the following development steps: information gathering, planning, initial product development, limited trial, initial product revision, field trial, and final product revision. The subject matter was the scale and comparison. Product trials were applied to 11th-grade students in Sleman, Indonesia. Product validity was based on expert judgment, item validity, distinguishing power, difficulty level and reliability to reach a good category in general. AR was created using the ARLOOPA application operated with android. The research instrument was designed to increase HOTS and DLS.
为提高学生的高阶思维技能(HOTS)和数字素养技能(DLS),需要在学生学习过程中开发互动性、趣味性、挑战性、激励性的评估工具,并培养学生的创造力和独立性。HOTS和数字素养是21世纪技能的一部分,对每个人都很重要。本研究开发了一种集成了增强现实(AR)和Google Scholar (GS)的测试仪器,以鼓励HOTS和学生的数字素养技能。这种类型的研究是基于以下开发步骤的开发研究:信息收集、规划、初始产品开发、有限试验、初始产品修订、现场试验和最终产品修订。主题是规模和比较。产品试验应用于印度尼西亚Sleman的11年级学生。一般来说,产品效度是基于专家判断、项目效度、区分能力、难易程度和信度来达到一个好的类别。AR是使用android操作的ARLOOPA应用程序创建的。研究仪器的设计是为了提高HOTS和DLS。
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引用次数: 0
BERPIKIR GEOMETRI LEVEL VISUALISASI SISWA SEKOLAH MENENGAH PERTAMA MELALUI TOPIK SEGIEMPAT MENURUT TEORI VAN HIELE 根据VAN HIELE理论,认为初中学生的可视化水平是四级
Pub Date : 2021-10-03 DOI: 10.35316/alifmatika.2021.v3i2.133-144
Harun Abdul Rohman, Dadang Juandi, Al Jupri
This research aims to describe the level of geometric thinking and geometric thinking processes of Junior High School students according to van Hiele's level of thinking on the topic of quadrilaterals. The qualitative approach is the research method used in this study through a case study method by testing the Van Hiele Geometry Test (VHGT) which was adapted from Usiskin's CDASSG and conducting interviews about the thinking process in the form of identifying, defining, and classifying which was adapted from the interview guide of Burger and Shaughnessy (1986). The subjects of this study were 297 grade VII and VIII students from two schools located in the Lembang sub-district. The results of the VHGT test showed that there were 81 students counting level 0 (visualization). The results showed that the students of class VII and VIII level 0 were as follows: 1) students were able to recognize the types of quadrangle but still affected by the prototype, 2) students were not able to classify quadrilaterals, and 3) overall description of the geometric thinking process level 0 in the form of identifying, defining, and classifying aspects according to van Hiele's thinking characteristics in general.
本研究旨在根据范·海尔关于四边形主题的思维水平来描述初中生的几何思维水平和几何思维过程。定性方法是本研究使用的研究方法,通过案例研究法,测试改编自Usiskin的CDASSG的Van Hiele Geometry Test (VHGT)和改编自Burger and Shaughnessy(1986)的访谈指南,以识别、定义和分类的形式对思维过程进行访谈。本研究的对象是297名七年级和八年级的学生,他们来自位于伦邦街道的两所学校。VHGT测试结果显示,有81名学生计数为0级(可视化)。结果表明,第7级和第8级的学生表现为:1)学生能够识别四边形的类型,但仍然受到原型的影响;2)学生不能对四边形进行分类;3)总体上按照范海勒的思维特征,以识别、定义和分类方面的形式描述了第0级的几何思维过程。
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引用次数: 0
PEMODELAN MATEMATIKA TERHADAP PENYEBARAN VIRUS KOMPUTER DENGAN PROBABILITAS KEKEBALAN 有可能免疫概率的计算机病毒传播的数学建模
Pub Date : 2021-09-07 DOI: 10.35316/alifmatika.2021.v3i2.122-132
Neni Nur Laili Ersela Zain, P. Sihombing
The increase in the number of computer viruses can be modeled with a mathematical model of the spread of SEIR type of diseases with immunity probability. This study aims to model the pattern of the spread of computer viruses. The method used in this research is the analytical method with the probability of mathematical immunity. Based on the analysis of the model, two equilibrium points free from disease E1 and endemic equilibrium points E2 were obtained. The existence and local stability of the equilibrium point depends on the basic reproduction number R0. Equilibrium points E1 and E2 tend to be locally stable because R0<1 which means there is no spread of disease. While the numerical simulation results shown that the size of the probability of immunity will affect compartment R and the minimum size of a new computer and the spread of computer viruses will affect compartments S and E on the graph of the simulation results. The conclusion obtained by the immune model SEIR successfully shows that increasing the probability of immunity significantly affects the increase in the number of computer hygiene after being exposed to a virus.
计算机病毒数量的增加可以用具有免疫概率的SEIR型疾病传播的数学模型来模拟。这项研究的目的是模拟计算机病毒的传播模式。本研究采用的方法是数学免疫概率分析法。通过对模型的分析,得到了无病平衡点E1和地方病平衡点E2。平衡点的存在性和局部稳定性取决于基本再生数R0。平衡点E1和E2趋于局部稳定,因为R0<1,这意味着没有疾病传播。而数值模拟结果显示,在模拟结果的图形上,免疫概率的大小会影响隔间R和新计算机的最小尺寸,计算机病毒的传播会影响隔间S和E。免疫模型SEIR成功得出的结论表明,提高免疫概率对病毒暴露后计算机卫生次数的增加有显著影响。
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引用次数: 0
ABSTRAKSI REFLEKTIF SISWA SEKOLAH MENENGAH PERTAMA PADA MATERI SEGIEMPAT DAN SEGITIGA 中学生对矩形和三角形材料的反射性抽象
Pub Date : 2021-09-03 DOI: 10.35316/alifmatika.2021.v3i2.107-121
Ahmad Choirul Anam
The purpose of this study is to determine a person's ability to perform mental activities mechanically in associating new information received with previously owned information (reconstruction) which is a reflective abstraction. The process of reconstructing the concepts of quadrilaterals and triangles by students uses the mental mechanism approach of APOS theory (interiorization, encapsulation, de-encapsulation, coordination). The process can be known by observing students and analyzing the results of student work, starting with determining 1 class to be given a mathematical ability test. 29 students were present when the math ability test was given. The results of the mathematical ability test were analyzed and then found 2 students of different sexes with moderate ability. The first student is male and the second student is female, hereinafter referred to as the research subject, then the research subject is given the task of quadrilateral and triangle. The results showed that female students had done all stages of reflective abstraction in APOS theory. So, that these students were at the level of relational understanding. Meanwhile, male students only did several stages in the reflective abstraction stage on the APOS theory so that these students were included in the level of instrumental understanding.
这项研究的目的是确定一个人在将新信息与先前拥有的信息(重构)联系起来时进行机械的心理活动的能力,这是一种反射性的抽象。学生重构四边形和三角形概念的过程采用了APOS理论的心理机制方法(内化、封装、解封装、协调)。这个过程可以通过观察学生和分析学生作业的结果来了解,首先要确定一个班级进行数学能力测试。进行数学能力测试时,有29名学生在场。对数学能力测试结果进行分析,发现2名不同性别的学生数学能力中等。第一名学生为男,第二名学生为女,以下简称研究对象,然后给研究对象分配四边形和三角形的任务。结果表明,女学生完成了APOS理论中所有阶段的反思性抽象。所以这些学生处于关系理解的水平。而男生在APOS理论的反思抽象阶段只做了几个阶段,因此被纳入工具性理解的层面。
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引用次数: 1
KORELASI PEMAHAMAN MATA KULIAH LOGIKA MATEMATIKA DENGAN SOFTWARE GEOGEBRA 地理地理计算机的数学理解与地理地理软件的关系
Pub Date : 2021-09-01 DOI: 10.35316/alifmatika.2021.v3i2.92-106
Harizahayu Harizahayu, Ferdinand Tampubolon
This study investigated the use of a free GeoGebra application, where the ability of a GeoGebra software application had the potential to simplify and help the teaching and learning process in the informatics management study program, Medan State Polytechnic. The focus of this research was the incorporation of conventional method-based teaching, namely using the assistance of writing instruments such as pencils, pens, and paper when describing the Venn diagram in mathematical logic courses with the help of the GeoGebra application which made it easier for students to drew circles and determine the slices and combinations on the Venn diagram. The resulted of this study were obtained from the scores of student assignments and the results of interviews conducted online with the number of respondents consisting of 44 students who successfully uploaded assignments through the SIPADI application. The value analysis obtained was compiled into tables then processed using the SPSS application using the pair test and linearity test. Based on the output obtained, it was known that the GeoGebra value obtained the average value of learning outcomes or the mean of 75.9773, while for the average learning outcomes using conventional methods or the mean of 68.9091. The number of respondents or students who took the test amounted to 44 people, Std. Deviation for GeoGebra method was 5.800092 and conventional method was 5.56909, and Std. Error Means. Based on the results of descriptive statistical tests, the average value of the GeoGebra method > conventional method was 75.9773> 68.9091, so descriptively there was an average difference between the GeoGebra method and the conventional method.
本研究调查了免费GeoGebra应用程序的使用情况,其中GeoGebra软件应用程序的能力有可能简化和帮助棉兰州立理工学院信息学管理研究项目的教学过程。本研究的重点是结合传统的基于方法的教学,即在数学逻辑课程中使用铅笔,钢笔和纸等书写工具,借助GeoGebra应用程序,使学生更容易画出圆圈并确定维恩图上的切片和组合。这项研究的结果来自学生作业的分数和在线访谈的结果,受访者包括44名通过SIPADI应用程序成功上传作业的学生。将得到的值分析编制成表格,然后使用SPSS应用程序使用配对检验和线性检验进行处理。根据得到的输出可知,GeoGebra值得到的学习成果均值为75.9773,而常规方法得到的平均学习成果均值为68.9091。调查对象或参加测试的学生共44人,GeoGebra法的标准差为5.800092,常规法的标准差为5.56909,标准差均值为5.56909。描述性统计检验结果显示,GeoGebra方法>常规方法的平均值为75.9773> 68.9091,说明GeoGebra方法与常规方法在描述性上存在平均差异。
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引用次数: 0
PENGEMBANGAN LEMBAR KERJA SISWA MODEL KOOPERATIF TIPE NUMBERED HEADS TOGETHER UNTUK MENINGKATKAN HASIL BELAJAR 配合学生工作表开发类型数字头组,以提高学习成绩
Pub Date : 2021-04-25 DOI: 10.35316/alifmatika.2021.v3i1.70-79
Wiwi Purwanti, Dian Mayasari, Anis Munfarikhatin
The aims of this study were to develop teaching materials of Mathematic Student Worksheets in class VIII SMP using cooperative learning model type Numbered Heads Together (NHT).The type of this research were development with the ADDIE model which were carried out until the implementations and stages due to the COVID-19 pandemic. The Research subject was at SMP Negeri 8 Merauke, in the class VIII by trial sample 6 students with comparison materials. The data collections were carried out through observations, interviews, tests and questionnaires. The results of developing student worksheets are categorized as valid with a percentage value of 95%. The students responses of questionnaire were included in the practical category with an.amount of 81.7%. The teacher response questionnaire included practical criteria with a percentage of 68.75%. The results of learning observations for the first meeting obtained a percentage score of 87%, the second meeting was 80% so that it met the practical criteria. The results of the N-gain test show that student worksheets using the NHT model can improve students achievement.
摘要本研究的目的是利用合作学习模式(NHT)开发数学八班学生习题教材。这项研究的类型是使用ADDIE模型进行开发,直到COVID-19大流行的实施和阶段。研究对象是SMP Negeri 8 Merauke,在VIII班通过试用抽样6名学生与对照材料。数据收集是通过观察、访谈、测试和调查表进行的。开发学生工作表的结果被归类为有效,百分比值为95%。学生对问卷的回答被纳入实践类,并带有一个。金额为81.7%。教师回答问卷包含实用标准,比例为68.75%。第一次会议的学习观察结果达到了87%,第二次会议的学习观察结果达到了80%,达到了实践标准。n增益测试的结果表明,使用NHT模型的学生工作表可以提高学生的学习成绩。
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引用次数: 0
期刊
Alifmatika: Jurnal Pendidikan dan Pembelajaran Matematika
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