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Junior high school students’ abilities in solving the open-ended mathematical problems with the context of Songket motif 宋凯特母题情境下初中生解决开放式数学问题的能力
Pub Date : 2022-07-01 DOI: 10.29408/jel.v8i2.5659
J. Araiku, E. Kurniadi, W. Pratiwi
Many researchers stated that most students struggle to solve higher mathematical problems, including open-ended problems. One of many solutions is to apply a realistic context close to students. Hence, this research aimed to analyze students’ abilities in solving an open-ended mathematical problem using the Songket context, particularly the Kembang Tengah motif. The subjects were 24 seventh graders. The instruments for this descriptive research were an open-ended problem and an interview sheet. The results show that in solving the open-ended problem, 88.33% of students understood the problem, 59.72% were able to construct, and 72.22% applied the plan, while 52.78% wrote the conclusion. No students evaluated their solution to the problem. In implementing open-ended problems in the traditional context, students have different solutions based on their various experiences with the context, problem-solving schema, and mean-putting on the problem. They also applied multiple problem-solving strategies in working the problem. The similarity was the use of assumptions in solving the problem. However, some assumptions were inconsistent, neither their prior work nor other mathematical concepts. Therefore, teachers and researchers need to emphasize students’ written self-evaluation to check and improve their solutions. Another suggestion is to see the metacognitive process in solving the open-ended mathematical problem using a specific tradition. Furthermore, teachers should engage more in using open-ended problems and scaffold students when facing obstacles in solving them.
许多研究人员表示,大多数学生都很难解决高等数学问题,包括开放式问题。许多解决方案之一是将现实环境应用到学生身边。因此,本研究旨在分析学生在使用颂基特上下文,特别是肯邦登加母题的情况下解决开放式数学问题的能力。研究对象是24名七年级学生。这个描述性研究的工具是一个开放式问题和一个访谈表。结果表明,在解决开放式问题时,88.33%的学生理解问题,59.72%的学生能够构建问题,72.22%的学生应用方案,52.78%的学生写出结论。没有学生评价他们解决问题的方法。在传统情境下实施开放式问题时,学生根据不同的情境、解决问题的图式和对问题的理解有不同的解决方案。他们还应用了多种解决问题的策略来解决问题。相似之处在于在解决问题时使用了假设。然而,有些假设是不一致的,既不是他们之前的工作,也不是其他数学概念。因此,教师和研究者需要重视学生的书面自我评价,以检查和改进他们的解决方案。另一个建议是看到元认知过程在解决开放式数学问题使用一个特定的传统。此外,教师应该更多地使用开放式问题,并在学生遇到困难时帮助他们解决问题。
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引用次数: 0
The impact of affective skills toward on the mathematics learning outcomes at senior high school students 情感技能对高中生数学学习成果的影响
Pub Date : 2022-07-01 DOI: 10.29408/jel.v8i2.4950
Wahyuddin Wahyuddin, Nur Qalbi Rusdin, M. Nur
Affective skill is one of the factors that students must possess and are the key to successful learning; affective skills are also one of the skills needed in the world of work in the future. This research aimed to analyze the influence of affective skills and their influence on learning outcomes and the dominant influencing variables. This quantitative survey was conducted in January-March 2021, involving 155 students (61 males and 94 females). The variables consisted of exogenous variables, namely affective skills (math interest, math anxiety, math self-efficacy, beliefs, and math attitude), while endogenous variables are learning outcomes. The instrument used to measure exogenous variables were questionnaires including math interest, math anxiety, math self-efficacy, beliefs, and math attitude that met the validity and reliability tests. While the endogenous variable, namely understanding results obtained from the value of documentation of student learning outcomes at school. The data was processed by descriptive and inferential analysis through structural equation modeling (SEM). The study results concluded that math self-efficacy and math attitude were in the high category, beliefs and math interests were suitable. Math anxiety was of a low sort. Furthermore, math interest, math self-efficacy, beliefs, and math attitude were found to have no significant effect on learning outcomes, which means that math interest, self-efficacy, ideas, and math attitude were not sufficient to provide evidence that they could significantly influence learning outcomes.
情感技能是学生必须具备的因素之一,是成功学习的关键;情感技能也是未来职场所需要的技能之一。本研究旨在分析情感技能及其对学习结果的影响和主要影响变量。该定量调查于2021年1月至3月进行,涉及155名学生(男61名,女94名)。变量包括外生变量,即情感技能(数学兴趣、数学焦虑、数学自我效能、信念和数学态度),内生变量为学习成果。测量外生变量的工具为数学兴趣、数学焦虑、数学自我效能、数学信念、数学态度等满足效度和信度检验的问卷。而内生性变量,即对学生在校学习成果的文献价值所获得的理解结果。通过结构方程模型(SEM)对数据进行描述和推理分析。研究结果表明,数学自我效能感和数学态度处于高水平,数学信仰和数学兴趣处于高水平。数学焦虑属于低度焦虑。此外,数学兴趣、数学自我效能感、信念和数学态度对学习结果没有显著影响,这意味着数学兴趣、自我效能感、想法和数学态度不足以提供证据证明它们对学习结果有显著影响。
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引用次数: 1
Students’ problem-solving ability in number patterns topic viewed from cognitive styles 从认知风格看学生数字模式题解题能力
Pub Date : 2022-07-01 DOI: 10.29408/jel.v8i2.5699
S. Rejeki, Luthfi Rahmasari
Mathematical problem-solving skills are essential. However, students’ ability to solve number patterns problems topic has not been optimal. The results of previous studies show different problem-solving skill profiles in students with Field Dependent (FD) and Field Independent (FI) cognitive styles in geometry and algebra. Therefore, this study aims to describe the problem-solving ability of students in number patterns based on cognitive styles. The research used qualitative methods with a descriptive approach. The study involved all students of grade 8 at a public junior high school in Klaten Regency, Central Java, Indonesia. Four students were selected for in-depth analysis by administering the Group Embedded Figure Test (GEFT) test and many patterns problem-solving test. Instruments used in this study included the GEFT test and the problem-solving test of number patterns. Research data was collected through a test, interviews, and documentation. The triangulation was applied to validate the data. Data were processed by reducing data, presenting data, and verifying. The results showed that FI students are better able to solve number pattern problems than FD students. It can be seen that FD students can understand the problem, devise a plan, and carry out the plan. However, FD students have been unable to look back at the solutions. Meanwhile, FI students can understand problems, devise a plan, carry out the plan, and look back at the solutions well. Therefore, it is needed to focus more on enhancing FD students’ ability in the stage of looking back.
解决数学问题的能力是必不可少的。然而,学生解决数字模式题的能力并没有达到最佳状态。以往的研究结果显示,场依赖型(FD)和场独立型(FI)认知风格的学生在几何和代数问题解决能力方面存在差异。因此,本研究旨在描述学生在认知风格的基础上解决数字模式问题的能力。本研究采用定性方法和描述性方法。该研究涉及印度尼西亚中爪哇省Klaten Regency一所公立初中的所有八年级学生。通过小组嵌入图测试和多种模式问题解决测试,选出4名学生进行深入分析。本研究使用的工具包括GEFT测试和数字模式问题解决测试。研究数据通过测试、访谈和文件收集。采用三角剖分法对数据进行验证。数据处理分为数据精简、数据呈现、数据验证。结果表明,FI学生比FD学生更能解决数字模式问题。可以看出,FD学生能够理解问题,制定计划,并执行计划。然而,FD学生一直无法回顾解决方案。同时,FI学生能够很好地理解问题、制定计划、执行计划和回顾解决方案。因此,在回顾阶段,需要更加注重FD学生能力的提升。
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引用次数: 3
Self-regulated learning and problem-solving ability of elementary school students in fraction during online learning 小学生在线学习中自主学习与问题解决能力的研究
Pub Date : 2022-07-01 DOI: 10.29408/jel.v8i2.5708
Eva Yunida Wulandari, Fitri Alyani
Online learning for students requires high self-regulated learning to maximize problem-solving skills, especially in fractional material. However, elementary school students have not widely seen self-regulated learning and problem-solving abilities. Therefore, this study aimed to determine the relationship between self-regulated learning and problem-solving skills, especially on fractions in online learning in fifth-grade elementary school. This research is included in a quantitative study that uses a sample of fifth-grade students in an elementary school in Depok City. A sample of 122 students (N = 67 female, N = 55 male) was obtained using a non-probability sampling technique. Data collection techniques were carried out through the distribution of a self-regulated learning questionnaire with as many as 29 statements and a problem-solving ability test instrument with as many as eight questions. The data obtained were measured and analyzed using Rasch modeling and assisted by Winsteps software version 4.4.2. Furthermore, the correlation and Effect Size tests were carried out to determine the relationship and influence between variables. The results showed a significant and interrelated relationship between self-regulated learning and problem-solving ability. In other words, the higher the quality of independence in students, the higher the quality of problem-solving abilities they have, and vice versa. That way, it can encourage students to maximize self-regulated learning when learning online to help improve problem-solving skills in learning.
对学生来说,在线学习需要高度自律的学习,以最大限度地提高解决问题的能力,尤其是在分数材料方面。然而,小学生的自主学习和解决问题的能力并不普遍。因此,本研究旨在确定自主学习与问题解决能力之间的关系,特别是在五年级小学在线学习中的分数。本研究包含在一项定量研究中,该研究使用了德波市一所小学五年级学生的样本。采用非概率抽样方法,共抽取122名学生(女67名,男55名)。数据收集技术是通过分发多达29题的自主学习问卷和多达8题的问题解决能力测试工具来进行的。所得数据采用Rasch建模,Winsteps 4.4.2软件辅助进行测量和分析。此外,还进行了相关检验和效应量检验,以确定变量之间的关系和影响。结果表明,自我调节学习与问题解决能力之间存在显著的相关关系。换句话说,学生的独立素质越高,他们解决问题的能力素质就越高,反之亦然。这样,它可以鼓励学生在在线学习时最大限度地自主学习,帮助提高学习中解决问题的能力。
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引用次数: 0
Secondary students’ mathematical reasoning in terms of learning styles on online learning 中学生数学推理方面的学习方式对网络学习的影响
Pub Date : 2022-07-01 DOI: 10.29408/jel.v8i2.5696
Fresha Anjani, S. Ulfah
Since COVID-19 was declared a global pandemic, learning has shifted from face-to-face to online. It is a novel environment, particularly in Indonesia. This study aims to determine the profile and correlation between students' mathematical reasoning abilities and learning styles in online learning. The research method used was quantitative. The population was grade VIII students studying in public Junior High School (JHS) in DKI Jakarta province. The sample was 400 respondents, consisting of 208 males and 192 females, using random cluster sampling. To identify the relationship between mathematical reasoning ability and learning style, to be more specific, the researchers took a sample of one class consisting of 39 respondents. The research instrument was in the form of a questionnaire and mathematical ability test questions in the form of a description. The data analysis technique used descriptive statistics and correlation analysis. The results showed that: (1) the tendency of students' mathematical reasoning abilities was included in the medium category, (2) students had varied learning styles, namely visual, auditory, and kinesthetic learning styles (3) the tendency of students learning styles of public JHS in DKI Jakarta is visual learning style with a percentage of 32.25% as many as 129 students from 400 respondents, (4) there is a significant relationship between mathematical reasoning abilities and student learning styles with a Pearson correlation score of 0.565, and the relationship between the two variables is included in the category of moderate correlation. In this case, choosing a suitable learning approach can impact students' ability to think mathematically.
自2019冠状病毒病被宣布为全球大流行以来,学习已经从面对面转向在线。这是一个全新的环境,尤其是在印度尼西亚。本研究旨在探讨在线学习中学生数学推理能力与学习风格的关系。本研究采用定量研究方法。研究对象为雅加达DKI省公立初中(JHS)八年级学生。样本为400人,其中男性208人,女性192人,采用随机整群抽样。更具体地说,为了确定数学推理能力和学习风格之间的关系,研究人员选取了一个班级的39名受访者作为样本。研究工具以问卷的形式和数学能力测试题的形式进行描述。数据分析技术采用描述性统计和相关分析。结果表明:(1)学生的数学推理能力倾向为中等类别;(2)学生的学习风格多样化,包括视觉、听觉和动觉学习风格;(3)雅加达DKI公立JHS学生的学习风格倾向为视觉学习风格,在400名被调查者中有129名学生,占32.25%;(4)数学推理能力与学生学习风格之间存在显著的相关关系,Pearson相关分数为0.565,两变量之间的关系属于中等相关范畴。在这种情况下,选择合适的学习方法可以影响学生的数学思维能力。
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引用次数: 1
Implementation of augmented reality-assisted learning media on three-dimensional shapes 三维形状增强现实辅助学习媒体的实现
Pub Date : 2022-07-01 DOI: 10.29408/jel.v8i2.5238
S. A. Pramuditya, Sri Pitriayana, T. Subroto, R. Wafiqoh
This research is motivated by the low understanding of students in studying the object of geometry study. The media that had previously been used in the form of a spatial framework made of bamboo or iron turned out to take up quite a lot of space and was not practical to carry in large quantities. Therefore, efficient and practical media are needed to help visualize concrete objects in learning. This research aims to implement Augmented Reality (AR)-assisted learning media on the material of three-dimensional shapes. This study uses an explanatory qualitative method. The participant in this study was one student from one of the junior high schools in the Cirebon Regency. Data collection techniques used are through interviews and documentation. The analysis technique consists of three stages: data reduction, data presentation, and concluding. The results showed that the AR application could make it easier for the student to understand the material and solve the problem of three-dimensional shapes. However, the student still has a little difficulty using the application and is a little confused when identifying the parts of the cube because the image of the shape raised by the application is still not clear. This research implies that AR applications can make students' spatial abilities better.
本研究的动机是学生对几何学习对象的理解程度较低。以前使用的媒介形式是由竹子或铁制成的空间框架,结果占用了相当大的空间,并且不适合大量携带。因此,需要有效和实用的媒介来帮助在学习中可视化具体的对象。本研究旨在实现增强现实(AR)辅助学习媒体在三维形状材料上的应用。本研究采用解释性质的方法。本研究的参与者是一名来自炭县一所初中的学生。使用的数据收集技术是通过访谈和文件。分析技术包括三个阶段:数据简化、数据表示和结论。结果表明,AR应用可以使学生更容易理解材料和解决三维形状问题。然而,学生在使用应用程序时仍然有一点困难,并且在识别立方体的部分时有点困惑,因为应用程序提出的形状图像仍然不清楚。本研究表明,AR应用可以提高学生的空间能力。
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引用次数: 2
Prospective teachers’ thinking through realistic mathematics education based emergent modeling in fractions 基于分数突现模型的现实数学教育中准教师的思考
Pub Date : 2022-07-01 DOI: 10.29408/jel.v8i2.5712
E. A. Afriansyah, T. Turmudi
The unconsciousness of a teacher in obtaining knowledge due to students can be known if the teacher was notified when he was a student. A student has an essential role in learning, and the teacher is responsible for supporting smooth learning. Students' problem-solving processes need to be found because each student's reasoning and ideas in solving problems are different. This study focuses on students' thinking processes using realistic mathematics education based on emergent modeling. In this study, the researcher is the teacher, and the student is the prospective teacher. The prospective teacher involved were students of the Institut Pendidikan Indonesia mathematics study program. Prospective teachers were selected as research subjects for as many as 74 people (11 males and 63 females) consisting of 3 classes. The research method uses descriptive qualitative. As learning activities progress, students get a kind of model that seems as solutions to solving problems given by the teacher. Various kinds of models emerged from various student ideas and ended with a mutually agreed for a model for. Through this study, a teacher can learn about student models in the learning process.
如果教师在学生时代得到通知,就可以知道教师在为学生获取知识时的无意识。学生在学习中起着至关重要的作用,教师负责支持顺利的学习。学生解决问题的过程需要被发现,因为每个学生解决问题的推理和想法是不同的。本研究利用基于突发模型的现实数学教育,关注学生的思维过程。在本研究中,研究者是教师,学生是未来的教师。所涉及的未来教师是印度尼西亚彭迪迪坎研究所数学研究项目的学生。本研究以3个班级74人(男11人,女63人)为研究对象。研究方法采用描述性定性。随着学习活动的进行,学生获得了一种模式,似乎是解决教师给出的问题的解决方案。各种各样的模型从不同的学生的想法中产生,并以一个相互同意的模型结束。通过本研究,教师可以了解学生在学习过程中的模式。
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引用次数: 5
Slow learners’ performance in solving mathematical problems in the inclusive classroom 慢学习者在包容性课堂中解决数学问题的表现
Pub Date : 2022-07-01 DOI: 10.29408/jel.v8i2.5181
Heni Yunilda Hasibuan, Cecep Anwar Hadi Firdos Santosa, S. Syamsuri
Several studies have been carried out to uncover errors made by students in solving mathematical problems. However, there are few studies related to this kind of research specializing in students with special needs, in this case, slow learners, especially in Indonesia. In addition, the study did not classify the errors into the category of mathematical errors, so the location of the errors was not mapped. This study aimed to describe the performance of slow learners in solving mathematical problems, which are analyzed by the locations of errors based on the Newman procedure and categorized by Elbrink’s classification. This study also aimed to reveal the causes of errors made by slow learners in solving mathematical problems by confirming the characteristics of slow learners. The subject of this research was two eighth-graders who are considered slow learners in an inclusive junior high school. The data were collected through written tasks and semi-structured interviews. The results showed that both subjects could perform the reading and comprehension stages. However, they faced difficulties performing the transformation, process skills, and encoding that led to errors. The error categories were calculation, procedural, and symbolic errors. These errors were caused by the limited cognitive abilities of slow learners, their poor memory and concentration skills, and less variety of teaching methods by the teacher. The results of this study can become a reference for mathematics teachers to determine alternative strategies for overcoming errors made by slow learners in solving mathematical problems.
已经进行了几项研究,以揭示学生在解决数学问题时所犯的错误。然而,很少有研究专门针对有特殊需要的学生,在这种情况下,慢学习者,特别是在印度尼西亚。此外,本研究没有将误差归为数学误差的范畴,因此没有对误差的位置进行映射。本研究旨在描述慢学习者在解决数学问题方面的表现,并基于Newman过程对慢学习者的错误位置进行分析,并采用Elbrink分类方法对慢学习者进行分类。本研究还旨在通过确认慢学习者的特征,揭示慢学习者在解决数学问题时出错的原因。本研究的对象是一所全纳初中的两名八年级学生,他们被认为是学习缓慢的学生。数据是通过书面任务和半结构化访谈收集的。结果表明,两名被试均能完成阅读和理解阶段。然而,他们在执行转换、处理技巧和编码时会遇到困难,从而导致错误。错误分类为计算错误、程序错误和符号错误。这些错误是由于慢学习者的认知能力有限,记忆力和注意力集中能力差,以及教师教学方法的多样性不足造成的。本研究的结果可以为数学教师确定克服慢学习者在解决数学问题时所犯错误的替代策略提供参考。
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引用次数: 2
Implementation the project-based learning using the context of Batik art in elementary mathematics learning 以蜡染艺术为背景,在小学数学学习中实施项目式学习
Pub Date : 2022-07-01 DOI: 10.29408/jel.v8i2.4790
Samsul Pahmi, N. Priatna, J. Dahlan, Arif Muchyidin
The integration of art into mathematics is currently still carried out by paying attention to the aesthetic value of student projects. However, its use has not been found to expand artistic or cultural values knowledge. This study aims to conduct a study related to the integration of batik art in mathematics learning on the topic of circles in elementary schools, where batik art contains not only aesthetic meaning but also cultural values and is the identity of the Indonesian nation. This research is focused on content design, the use of methods, and their effect on learning outcomes. The integration of batik art in learning is carried out to support the development of STEAM-based learning. This study used a quasi-experimental method using the design of One group posttest only with multiple substantive posttests, which was carried out in 2 different elementary schools in grade 6 with a sample of 41 students consisting of 28 female students and 13 male students. Experimental learning uses circular batik motifs as an art aspect and project-based learning (PjBL) as a learning method. Data collection was carried out using three instruments: a final student ability test, interviews, and questionnaires. The results show an increase in student learning outcomes, reducing students' anxiety levels in learning, increasing student activity, and providing alternative solutions for implementing fine arts in learning, especially mathematics, on the topic of circles at elementary school. This research is expected to provide benefits of knowledge related to how art or culture can be instilled simultaneously with lessons, especially mathematics learning for educators.
艺术与数学的融合目前仍然是通过关注学生项目的审美价值来进行的。然而,并没有发现它的使用可以扩展艺术或文化价值知识。本研究旨在以小学圆圈为主题,对蜡染艺术在数学学习中的整合进行研究,蜡染艺术不仅包含美学意义,还包含文化价值,是印尼民族的身份认同。本研究的重点是内容设计,方法的使用,以及它们对学习成果的影响。蜡染艺术在学习中的整合,以支持基于steam的学习的发展。本研究采用准实验方法,采用单组后测+多个实质性后测的设计,在2所不同的小学6年级进行,样本41名学生,其中女生28名,男生13名。实验学习使用圆形蜡染图案作为艺术方面和基于项目的学习(PjBL)作为学习方法。数据收集使用三种工具:期末学生能力测试、访谈和问卷调查。结果显示,学生的学习成果有所增加,减少了学生在学习中的焦虑水平,增加了学生的活动,并为在小学的圆圈主题中实施美术学习,特别是数学提供了替代解决方案。这项研究预计将提供与艺术或文化如何与课程同时灌输相关的知识,特别是教育工作者的数学学习。
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引用次数: 3
Semiotic analysis on Malangan Batik for elementary school mathematics learning 马兰干蜡染对小学数学学习的符号学分析
Pub Date : 2022-07-01 DOI: 10.29408/jel.v8i2.5352
D. Ekowati, Arina Restian, Erna Yayuk, K. Kamariah
Among the cultural richness in Indonesia, one of which is the Malangan batik cloth. The use of Malangan batik cloth is not only for clothing and decoration needs but also becomes part of the subject matter. In elementary school learning, Malangan batik cloth is one of the learning materials for Arts, Culture, and Crafts. In the thematic learning applied in elementary schools, Arts, Culture, and Crafts subjects do not stand alone. However, it must be related to other subjects, one of which is mathematics. The reality, on the ground, most teachers find it difficult to link the two. Bridging the link between these two subjects is carried out through semiotic analysis with its six primary objects. This study aimed to conduct a semiotic analysis of Malangan batik for elementary mathematics learning. The research was conducted in a qualitative descriptive manner with an ethnographic approach. Data were collected through observation, documentation, and interviews with two elementary school mathematics teachers and two Malangan batik makers. The research period is January-March 2022. The results of the study found that elementary mathematics concepts (numbers, algebra, geometry, measurement, statistics, and capital selection) have been identified according to six primary semiotic objects, namely language, problem-situation, concepts, procedures, properties, and arguments. By understanding each semiotic object, Malangan batik has the potential to increase students' mathematical activities that are contextual, interesting, and meaningful for students.
在印尼丰富的文化中,其中之一就是马兰干蜡染布。马兰干蜡染布的使用不仅是为了服装和装饰的需要,而且成为主题的一部分。在小学学习中,马兰干蜡染布是艺术、文化和工艺的学习材料之一。在小学应用的主题学习中,艺术、文化和工艺学科并不是孤立的。然而,它必须与其他学科有关,其中之一就是数学。在现实中,在地面上,大多数教师发现很难将两者联系起来。通过对其六个主要对象进行符号学分析,弥合这两个主题之间的联系。本研究旨在对小学数学学习中的马兰干蜡染进行符号学分析。该研究以定性描述的方式与民族志方法进行。通过观察、文献和采访两位小学数学老师和两位马兰干蜡染师来收集数据。研究期为2022年1月至3月。研究结果发现,基本的数学概念(数、代数、几何、测量、统计和资本选择)已经根据六个主要的符号学对象,即语言、问题情境、概念、程序、属性和论证来确定。通过理解每个符号对象,马兰干蜡染有可能增加学生的数学活动,这些活动对学生来说是有背景的,有趣的和有意义的。
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引用次数: 1
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