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Students' Mathematic Problem Solving Ability with Problem Solving Learning Model in Class VII SMP Negeri 2 Singkawang SMP Negeri 2 Singkawang七班学生运用问题解决学习模式的数学问题解决能力
Pub Date : 2023-02-10 DOI: 10.31629/jg.v7i2.4963
Ayu Susantri, N. Husna, Buyung Buyung
Students still need to improve their capacity for solving mathematical puzzles. The study aimed to evaluate how well the Problem-Solving learning model helped students become more adept at solving algebra-related mathematical problems. This study is an illustration of hybrid research (Mixed Methods). Class VIIA served as the experimental class, and Class VIID served as the control class for the study. Test forms, observation forms, and interviews served as instruments. Statistics are used in quantitative data analysis, whereas in qualitative data analysis, data is reduced, presented, and conclusions are drawn. The findings revealed that: (1) Mathematical problem-solving skills were improved in Problem-Solving Learning Model classes compared to classes using the Discovery Learning Model; (2) The Problem-Solving Learning Model defined what was meant by active student participation in class, with the percentage of student activity obtained being 41.12% at the first meeting with the quite active category and 89.74% at the second meeting with the very active category.
学生们仍然需要提高他们解决数学难题的能力。这项研究旨在评估问题解决学习模式在多大程度上帮助学生更熟练地解决代数相关的数学问题。这项研究是混合研究(混合方法)的例证。VIIA班为实验班,VIID班为对照班。测试表格、观察表格和访谈作为工具。统计学用于定量数据分析,而在定性数据分析中,数据被简化、呈现并得出结论。研究结果表明:(1)与使用发现学习模式的课堂相比,问题解决学习模式课堂的数学问题解决能力有所提高;(2) 问题解决学习模型定义了学生积极参与课堂的含义,在第一次会议上,与非常活跃的类别相比,学生活动的百分比为41.12%,在第二次会议上与非常活跃类别相比,获得的百分比为89.74%。
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引用次数: 0
Analysis of Mathematics Problem-Solving Ability of Junior High School Students in Emotional Intelligence 初中生数学问题解决能力的情商分析
Pub Date : 2023-02-10 DOI: 10.31629/jg.v7i2.4944
Ridina Sekaryanti, Rani Darmayanti, C. Choirudin, Usmiyatun Usmiyatun, Elli Kestoro, Umar Bausir
This study aims to describe the problem-solving skills that students learn from emotional intelligence. This type of research is descriptive and qualitative. The instruments used are questionnaires, tests, and interviews. The questionnaire instrument was used to measure students' emotional intelligence. The test instrument was used to measure problem-solving skills, and interviews were conducted to learn more about problem-solving skills. The subjects of this study were 5 of 15 students from class VIII who were taken as a sample and then given an ability test and analysis based on Krulik and Rudnick's problem-solving steps. Subjects with high emotional intelligence can understand the context of the problem and represent the problem with pictures. Students can link between information, use appropriate strategies or steps, and relevant answers and conclusions. The subject with medium emotional intelligence is rewriting information on the problem using mathematical models and their language. Subjects can relate information, but not all students' answers are correct. Subjects with low emotional intelligence do not make representations or use clear problem-solving strategies. Subjects cannot relate information, so they do wrong calculations and only guess the answer.
本研究旨在描述学生从情商中学到的解决问题的技能。这类研究是描述性和定性的。使用的工具包括问卷调查、测试和访谈。采用问卷调查的方法测量学生的情绪智力。该测试工具用于测量解决问题的技能,并进行访谈以了解更多关于解决问题的技巧。本研究的受试者是来自第八班的15名学生中的5名,他们被作为样本,然后根据Krulik和Rudnick的解决问题步骤进行能力测试和分析。高情商的受试者能够理解问题的来龙去脉,并用图片来表现问题。学生可以在信息之间建立联系,使用适当的策略或步骤,以及相关的答案和结论。具有中等情商的受试者正在使用数学模型及其语言改写有关问题的信息。科目可以关联信息,但并非所有学生的答案都是正确的。情绪智力低下的受试者不会做出表征或使用明确的解决问题的策略。受试者无法将信息联系起来,所以他们做了错误的计算,只猜测答案。
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引用次数: 11
Constraints of Blended Learning Implementation in Higher Education 高等教育实施混合学习的制约因素
Pub Date : 2022-12-28 DOI: 10.31629/jg.v7i2.4660
H. Hapizah, B. Mulyono, Ely Susanti, C. Anwar
Blended learning is a combination of synchronous and asynchronous learning. Implementing blended learning in mathematics learning has some problems, one of which is proving mathematics. This study aims to describe the obstacles to implementing blended learning in universities. The research was carried out at two universities in Indonesia located on the islands of Sumatra and Java. The subject of this research is the lecturer of the Mathematics Education Study Program at the two universities. The data collection technique used is an open questionnaire. The data were analyzed qualitatively and descriptively quantitatively. The study's results stated that lecturers faced many obstacles in implementing blended learning, mainly Internet, Time, Competence, and Student Personality.
混合学习是同步学习和异步学习的结合。在数学学习中实施混合学习存在一些问题,其中之一就是数学的证明。本研究旨在描述大学实施混合学习的障碍。这项研究是在印度尼西亚苏门答腊岛和爪哇岛的两所大学进行的。本研究的对象是这两所大学数学教育研究项目的讲师。所使用的数据收集技术是一种开放式问卷调查。对数据进行了定性和描述性的定量分析。研究结果表明,讲师在实施混合学习时面临许多障碍,主要是网络、时间、能力和学生个性。
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引用次数: 0
Effects of Teaching Students through Problem-Solving on Students’ Academic Performance in Problem-Solving 问题解决教学法对学生问题解决学习成绩的影响
Pub Date : 2022-12-28 DOI: 10.31629/jg.v7i2.5314
Emmanuel Acquandoh, Zakari Zunurain, Dennis Offei Kwakye, Samuel Redeemer Adornyo
The study aimed to determine how teaching students problem-solving techniques affected their academic problem-solving performance. A quasi-experimental research design was used for this study. The BIA Lamplighter College of Education's level 400 students make up the population for the 2022–2023 academic year. However, all upper primary students were chosen for the study because Problem-solving was a subject taught in that grade. There were three groups of 126 upper primary students in total. Intact groups were used in the study. The problem-solving technique was used in conjunction with the whole class, cooperative, and think-pair-share teaching methods while teaching Groups 1, 2, and 3 (G1, G2, and G3). Scores from the pre-and post-tests were used to gather information. The data were analyzed using ANOVA, Wilcoxon Signed Ranks, Kruskal-Wallis Test, both Wilcoxon W and Mann-Whitney U. The study's conclusions suggest that teaching through Problem-solving may enhance students' problem-solving abilities. The study also discovered that both students taught using whole-class teaching strategies and students led using cooperative learning and think pair teaching strategies benefit from the techniques. After using the "teaching through" problem-solving approach, there was no discernible difference in performance between male and female students.
该研究旨在确定教授学生解决问题的技巧如何影响他们的学业解决问题的表现。本研究采用准实验研究设计。BIA Lamplighter教育学院的400级学生构成了2022至2023学年的人口。然而,所有高年级的小学生都被选中参加这项研究,因为解决问题是该年级教授的一门科目。共有三组126名高年级小学生。研究中使用了完整的组。在第1、2和3组(G1、G2和G3)的教学中,问题解决技术与全班、合作和思维配对共享的教学方法相结合。测试前和测试后的分数被用来收集信息。使用ANOVA、Wilcoxon符号秩、Kruskal-Wallis检验、WilcoxonW和Mann-Whitney U对数据进行分析。研究结论表明,通过问题解决进行教学可以提高学生解决问题的能力。研究还发现,使用全班教学策略教学的学生和使用合作学习和思维配对教学策略引导的学生都受益于这些技术。在使用“通过教学”解决问题的方法后,男女学生的表现没有明显差异。
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引用次数: 0
Analysis of the Level of Understanding of the Concept of the Isoline Method of Linear Program Material Based on APOS Theory in terms of Learning Interest 从学习兴趣角度分析基于APOS理论的线性程序材料等值线法概念的理解水平
Pub Date : 2022-12-28 DOI: 10.31629/jg.v7i2.5250
Iesyah Rodliyah, D. Juniati, S. Khabibah
One of the methods that can be used to find solutions to linear programming models is the Graphical Method. Graphical methods are divided into the isoline method and the extreme point method. Based on initial observations and interviews, it was found that around 54% of students still needed help understanding the isoline method material in solving linear programs, especially when given real problems related to everyday life. In addition, students' learning interest in linear programming courses also varies. So the purpose of research in this article is to describe the level of understanding of students who have high, medium, and low learning interest in linear programming material, precisely the isoline method material, in determining the optimum solution. The method in this study is a qualitative method with a sampling technique using purposive sampling. Data collection was carried out using a questionnaire method for data on student learning interests and semi-structured test and interview methods to describe the level of student understanding based on APOS theory. The instruments in this study were questionnaires, written tests, and interview guidelines. Checking the validity of the data in this study used time triangulation. The collected data was analyzed using descriptive qualitative analysis. The results of the research show that: (1) subjects with high learning interest are at the level of schematic understanding; (2) subjects with interest in learning are at the level of understanding objects; and (3) subjects with low interest in learning are at the level of understanding of Action.
可用于找到线性规划模型的解决方案的方法之一是图形方法。图解法分为等值线法和极值点法。根据最初的观察和采访,发现大约54%的学生在解决线性程序时仍然需要帮助理解等值线法材料,尤其是在遇到与日常生活有关的真实问题时。此外,学生对线性规划课程的学习兴趣也各不相同。因此,本文的研究目的是描述对线性规划材料(确切地说是等值线法材料)具有高、中、低学习兴趣的学生在确定最优解时的理解水平。本研究中的方法是一种定性方法,采用有目的的抽样技术。数据收集采用问卷法收集学生学习兴趣数据,采用半结构化测试和访谈法描述基于APOS理论的学生理解水平。这项研究的工具是问卷调查、书面测试和面试指南。在本研究中,使用时间三角测量来检查数据的有效性。使用描述性定性分析对收集的数据进行分析。研究结果表明:(1)学习兴趣较高的受试者处于图式理解水平;(2) 具有学习兴趣的主体处于理解对象的水平;(3)学习兴趣低的受试者处于对行动的理解水平。
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引用次数: 0
Developing Problem Based Learning Device to Grow Students' Mathematical Critical Thinking Ability 开发基于问题的学习工具培养学生的数学批判性思维能力
Pub Date : 2022-12-28 DOI: 10.31629/jg.v7i2.5318
Muhamad Julfianto, Elfis Suanto, S. Siregar
This research is motivated by the importance of students' mathematical critical thinking skills and the limited learning tools with problem-based learning models to facilitate students' mathematical critical thinking skills used by teachers (Syllabus, RPP, and LAS) as a means of supporting learning in the 2013 Curriculum and fostering the ability to think mathematical critical. This research aims to produce a learning device based on the Model of Problem-Based Learning (PBL) on the probability material that is valid and practical to grow students' mathematical critical thinking skills. The model of development used is the 4D model (Define, Design, Develop, Disseminate). The subjects of one-to-one evaluation in this study were three 9th-grade SMP IT Aufia Global Islamic Boarding School and six heterogeneous students as small group evaluation subjects. The data analysis technique that will be carried out in this study is descriptive analysis technique. The Instruments used include (1) Syllabus, lesson plans, and student activity sheet validation sheets; and (2) a Questionnaire for student response to Student activity sheets. The learning tools that have been compiled are then validated by three validators and revised according to suggestions from the validators. The learning device is said to be valid if the level of validity achieved is at a value The validation results from three validators show that the syllabus, lesson plans, and student activity sheet are very valid, with the average score in a row 3.82, 3.74, and 3.55. Student activity sheet practicality shows an average percentage of 92,06% with efficient criteria. The results of this study indicate that the learning based on Model Problem-Based Learning (PBL) on the probability material is very valid and significantly grows students' mathematical critical thinking skills.
本研究的动机是学生数学批判性思维技能的重要性,以及基于问题的学习模型的有限学习工具,以促进学生的数学批判性思维能力,教师使用这些技能(教学大纲、RPP和LAS)来支持2013年课程中的学习并培养数学批判性思维的能力。本研究旨在在概率材料上制作一种基于问题学习模型(PBL)的学习设备,该设备有效且实用,有助于培养学生的数学批判性思维技能。所使用的开发模型是4D模型(定义、设计、开发、传播)。本研究中的一对一评估对象是三名9年级SMP IT Aufia Global Islamic Boarding School和六名异质学生,作为小组评估对象。本研究将采用的数据分析技术是描述性分析技术。使用的工具包括(1)教学大纲、课程计划和学生活动表验证表;以及(2)学生对学生活动表的反应调查表。然后,由三个验证器对已编译的学习工具进行验证,并根据验证器的建议进行修订。如果达到的有效性水平为某个值,则称学习设备有效。三个验证器的验证结果表明,教学大纲、课程计划和学生活动表非常有效,平均得分分别为3.82、3.74和3.55。学生活动表的实用性显示,有效标准的平均百分比为92,06%。本研究的结果表明,基于概率材料的模型问题学习(PBL)是非常有效的,并显著提高了学生的数学批判性思维能力。
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引用次数: 1
Analysis of Student Errors in Solving Basic Logarithmic Problems Using Kastolan Error Analysis 用Kastolan误差分析法分析学生在解决基本对数问题中的误差
Pub Date : 2022-12-28 DOI: 10.31629/jg.v7i2.4689
Yodiatmana Yodiatmana, K. Kartini
This research aims to describe the types of student errors in solving logarithmic problems. The subjects in this study were class X students of SMAN 15 Pekanbaru City, Riau Province. The research method uses a qualitative descriptive approach. Data collection techniques using written tests and documentation. Data analysis used descriptive qualitative analysis by compiling various kinds of student error data as material for research. In this analysis, the types of student errors are categorized based on Kastolan stages. Based on the results of the study, there are still many students who need help solving logarithmic problems. The most errors were conceptual errors at 74.14%, followed by procedural errors at 15.52%, and types of errors with the least technical errors at 10.34%. Conceptual errors indicate a weak understanding of the properties of logarithms, so they cannot apply them. The second type of procedural error occurs due to unsystematic settlement and exit from a predetermined procedure. The kind of error with the lowest percentage is a technique that shows the accuracy of students' calculations in solving problems. This happens because of a need for more thoroughness with the signs that must be used.
本研究旨在描述学生在解决对数问题时的错误类型。本研究的对象为廖内省北干巴鲁市SMAN 15的X班学生。研究方法采用定性描述方法。使用书面测试和文档的数据收集技术。数据分析采用描述性定性分析,通过汇编各种学生错误数据作为研究材料。在这个分析中,学生的错误类型是根据卡斯托兰阶段进行分类的。根据研究结果,仍然有许多学生需要帮助解决对数问题。错误最多的是概念错误,占74.14%,其次是程序错误,占15.52%,技术错误最少的错误类型占10.34%。概念上的错误表明他们对对数的性质理解不足,所以他们不能应用对数。第二类程序性错误是由于非系统结算和退出预定程序而发生的。错误百分比最低的是一种技术,它显示了学生在解决问题时计算的准确性。这是因为必须使用的标志需要更彻底。
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引用次数: 1
Electronic Student Worksheets Based on Rigorous Mathematical Thinking for Sequence and Series Materials in Senior High School 基于严谨数学思维的高中顺序系列材料电子学生作业
Pub Date : 2022-12-28 DOI: 10.31629/jg.v7i2.5331
Hutami Sukma Hayati, Puji Astuti, Febrian Febrian
The rapid development of technology must be utilized as well as possible, especially in the world of education, because education is the basis for forming individuals who are strong and able to compete in facing the challenges of the times. The habit of students using existing formulas without knowing the concept of the material causes them to have difficulty solving the same problem but in a different form of problem. Therefore, the development of electronic student worksheets based on Rigorous Mathematical Thinking (RMT) on the material of rows and series becomes an electronic teaching material that contains the stages of the learning process to build an in-depth understanding of the concepts of students as well as being one of the changes from existing technological developments. This study aimed to assess the validity and practicality of electronic student worksheets based on RMT developed. The research method used is Research and Development (R&D) with the 4D development model. The validity and practicality assessment instrument is a student questionnaire sheet with a Likert scale. The data obtained were analyzed using the percentage of the assessment score. The validation results show that electronic student worksheets are categorized as valid, with an average percentage of material validation of 88.13%, an average percentage of media validation of 94.62%, and an average percentage of language validation 93.64%. The practicality test obtained an average percentage of 78.39% in the practical category.
必须尽可能地利用技术的快速发展,特别是在教育领域,因为教育是形成面对时代挑战的强大和有能力竞争的个人的基础。学生在不了解材料概念的情况下使用现有公式的习惯导致他们很难解决相同的问题,但问题的形式不同。因此,基于严谨数学思维(RMT)的电子学生工作表的开发是一种包含学习过程各个阶段的电子教学材料,以建立对学生概念的深入理解,也是现有技术发展的变化之一。本研究旨在评估基于RMT开发的电子学生工作表的有效性和实用性。研究方法为研发(R&D),采用四维开发模式。效度与实用性评估工具为李克特量表学生问卷。使用评估分数的百分比对获得的数据进行分析。验证结果表明,电子学生工作表有效,材料验证率平均为88.13%,媒体验证率平均为94.62%,语言验证率平均为93.64%。实用性测试在实用性类别中获得了78.39%的平均百分比。
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引用次数: 1
Appropriate Technology E-book on Mobile Learning for Mathematics Teachers 适合数学教师移动学习的技术电子书
Pub Date : 2022-08-30 DOI: 10.31629/jg.v7i1.3791
Puji Astuti, Febrian Febrian, Mirta Fera, Rindilla Antika, Zhuzetta AnisaFitry, Arief Setiawan, Cyndi Wulandari, Rabiatul Mardiah, Muhammad Abdul Gani, Yodiatmana Yodiatmana
Technological developments in the industrial era 4.0, which coincided with the Covid-19 Pandemic, required teachers to teach students from home. The use of technology is the right solution during the current Pandemic. This research and development aim to produce an Appropriate Technology (AT) e-book on mobile learning during a Pandemic for mathematics teachers that is valid and practical. The subjects of this study were 17 high school mathematics teachers in Lingga and Bintan districts. The research design used is the ADDIE development model, which specifically includes (1) analysis, (2) design, and (3) development. The instruments of data collection used a validation questionnaire sheet and a practicality questionnaire sheet. The data were analyzed by qualitative descriptive statistics to see the validity and practicality of the AT e-book developed. The results showed that the AT e-book was valid, as seen from the validation results of the validators, the score showed an average of 92.5% with very valid criteria. Based on the results of the practicality questionnaire, the AT e-book obtained an average score of 84.9% in the very practical criteria. This result was also confirmed by the teachers directly that the book helped them understand mobile learning easily. Therefore, it can be concluded that the AT e-book on mobile learning during the Pandemic for mathematics teachers has been categorized as valid and practical.
工业4.0时代的技术发展恰逢新冠肺炎大流行,这就要求教师在家教学生。在当前大流行期间,使用技术是正确的解决办法。这项研究和开发旨在为数学教师制作一本有效和实用的关于大流行期间移动学习的适当技术(AT)电子书。本研究以灵加区、民丹区17名高中数学教师为研究对象。研究设计采用的是ADDIE开发模型,具体包括(1)分析,(2)设计,(3)开发。数据收集工具采用验证问卷和实用性问卷。采用定性描述性统计方法对数据进行分析,以验证开发的AT电子书的有效性和实用性。结果表明,AT电子书是有效的,从验证者的验证结果来看,平均得分为92.5%,标准非常有效。根据实用性问卷调查的结果,AT电子书在非常实用的标准中平均得分为84.9%。这个结果也被老师们直接证实,这本书让他们更容易理解移动学习。因此,可以得出结论,AT电子书对数学教师在大流行期间的移动学习是有效的和实用的。
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引用次数: 0
Analysis of the Ability of SMP/MTs Mathematics Teachers in Making AKM Type Questions SMP/MTs数学教师制作AKM型问题的能力分析
Pub Date : 2022-08-30 DOI: 10.31629/jg.v7i1.4466
Elina Elina, M. Maimunah, Y. Roza
The Minimum Competency Assessment (AKM) is a system used as a source of information to map and evaluate the quality of the education system that presents problems in various contexts. This study aimed to describe SMP/MTs mathematics teachers' ability to make AKM-type questions. This type of research is descriptive and qualitative with the survey method. The subjects of this study were the mathematics teachers of SMP/MTs in the Districts of Siak Kecil, Bukit Batu, and Bandar Laksamana, totaling 21 people, then the data taken were analyzed descriptively. The scoring guideline is based on the indicators for writing AKM questions contained in the scoring rubric. The results of this study indicate that the ability of teachers to make AKM-type questions is still low, namely, on context indicators, The questions made by the teacher have not used the context of numeration, both personal, scientific, and socio-cultural contexts, and on the stimulus indicators, teacher-made questions still use conventional stimuli, and there is no novelty in them. Teachers must have skills in making AKM-type questions, so training and guidance are needed.
最低能力评估(AKM)是一个系统,作为信息来源,用于映射和评估在各种情况下出现问题的教育系统的质量。本研究旨在描述中学/中学数学教师制作akm型问题的能力。这种类型的研究是描述性和定性的调查方法。本研究以Siak Kecil、Bukit Batu和Bandar Laksamana地区的中学/中学数学教师为研究对象,共21人,并对所采集的数据进行描述性分析。评分准则是基于评分标准中包含的AKM问题的写作指标。本研究结果表明,教师制作akm型问题的能力仍然较低,即在情境指标上,教师制作的问题没有使用数字情境,包括个人情境、科学情境和社会文化情境;在刺激指标上,教师制作的问题仍然使用传统的刺激,没有新颖性。教师必须具备制作akm类型问题的技能,因此需要培训和指导。
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引用次数: 1
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