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Mathematic Thinking Profile Of Students With High Learning Motivation 高学习动机学生的数学思维特征
Pub Date : 2021-06-30 DOI: 10.20961/jmme.v11i1.52745
Nova Riawan
This study aimed to know about high learning motivation students' in mathematical critical thinking skills. This study used a qualitative method and data collection techniques consisted of written tests and interviews. This study used triangulation techniques that compared data of test and interview data.  The qualitative data analysis techniques were data collection, data presentation, and drawing conclusions. The results showed that subject critical thinking skills with high motivation are able to understand the problems in the problem and can use the information obtained appropriately to complete each step in the problem. These conditions, students can also explain what was done in the process and can get conclusions, do not forget the review that students do will help solve the problem.
本研究旨在了解高学习动机学生的数学批判性思维能力。本研究采用定性方法,数据收集技术包括书面测试和访谈。本研究采用三角测量技术对测试数据和访谈数据进行比较。定性数据分析技术为数据收集、数据呈现、结论得出。结果表明,具有高动机的受试者批判性思维技能能够理解问题中的问题,并能恰当地利用所获得的信息完成问题中的每个步骤。这些条件下,学生还可以解释在过程中做了什么,并可以得出结论,不要忘记学生所做的复习将有助于解决问题。
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引用次数: 0
Students' Conceptual Understanding In Terms Of Gender Differences 性别差异下学生的概念理解
Pub Date : 2021-06-30 DOI: 10.20961/jmme.v11i1.52746
N. Azizah, B. Budiyono, S. Siswanto
One of the basic skills that students must master to learn mathematics is conceptual understanding. Gender differences have an influence on the disparity level of students' conceptual understanding. This research is qualitative descriptive research that aimed to analyze the students' conceptual understanding in solving set problems in terms of gender differences. The research subjects were 9th-grade students of SMP N 3 Surakarta. The concept understanding ability test was used as a research instrument. The results showed that male students had an excellent conceptual understanding in applying concepts in mathematical calculations and translating images into other forms of interpretation, 2) Female students had a fairly good conceptual understanding in translating images into other forms of interpretation, although female students tend to be weak in determining the right concepts to be used in solving problems and applying concepts in mathematical calculations.
学生学习数学必须掌握的基本技能之一是概念理解。性别差异对学生概念理解的差异程度有影响。本研究是一项定性描述性研究,旨在分析学生在解决集合问题时的概念理解在性别上的差异。研究对象为泗水市三中小学九年级学生。概念理解能力测试作为研究工具。结果表明:男学生在将概念应用于数学计算和将图像翻译成其他形式的口译方面具有较好的概念理解能力;女学生在将图像翻译成其他形式的口译方面具有较好的概念理解能力,但女学生在确定正确的概念用于解题和将概念应用于数学计算方面往往较弱。
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引用次数: 1
Description Of Differences In Creative Thinking Profile For Male And Female Students In Open Ended Problem Solving 男女学生在开放性问题解决中创造性思维特征的差异描述
Pub Date : 2021-06-30 DOI: 10.20961/jmme.v11i1.52747
H. S. Islam, B. Budiyono, S. Siswanto
One of the manifestations of high-level thinking is creative thinking, characterized by creating something new from ideas, concepts, experiences, and knowledge that is in one's mind. This study aims to describe the creative thinking profile of male and female students in solving open-ended problems. The research method used is descriptive research with a qualitative approach. The subject of the study used was 2 grade VII students of SMP Negeri 3 Surakarta. This research instrument uses open-ended problem tests with indicators of creative thinking and interviews. In describing the student's creative thinking profile, the researcher will pay attention to 4 stages: preparation, incubation, illumination, and verification stages. The results of this study show that male students can explain problems and solutions orally or in writing. While female students can explain the problem and the solution is both verbally but less able to explain with writing
高水平思维的表现之一是创造性思维,其特点是从思想、概念、经验和知识中创造出新的东西。本研究旨在描述男女学生在解决开放式问题时的创造性思维特征。使用的研究方法是定性方法的描述性研究。本研究使用的对象是泗水市SMP Negeri 3的2名七年级学生。本研究工具采用开放式问题测试与创造性思维指标和访谈。在描述学生的创造性思维概况时,研究者将关注4个阶段:准备阶段、孵化阶段、启发阶段和验证阶段。本研究结果显示,男学生可以口头或书面解释问题和解决方案。而女学生可以口头解释问题和解决方案,但不太能够用书面来解释
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引用次数: 1
Application of Moodle as Authentic Assessment in Learning Mathematics in SMK Moodle作为真实评估在SMK数学学习中的应用
Pub Date : 2020-12-25 DOI: 10.20961/JMME.V10I2.47082
H. E. Chrisnawati, A. N. Wulandari, S. Sutopo, Y. Kuswardi
The purpose of this study was to develop an assessment system using Moodle e-learning to improve mathematics learning outcomes in terms of knowledge, skills and attitudes of students. The development design in this study is more on how to develop learning activities with authentic assessment that must be carried out by the teacher which of course will be very difficult if everything is paper-based. The implementation of a reliable assessment with easy administration by the teacher becomes the consideration of the researcher. And with regard to the pandemic conditions that are being experienced by the Indonesian nation, online learning is an option for students and teachers. Even in the assessment that must be carried out. For this reason, the Moodle application is an alternative that allows students to access teaching materials and practice problem solving easily. This is very interesting to do a development study in SMK, why? Because vocational students usually lack positive attitudes towards mathematics. The use of the Moodle application in learning mathematics in the classroom is certainly the teacher's job to limit the time to face students, and the lack of positive attitudes of these students into "energy" to optimize student abilities. This research was conducted at SMK Warga Surakarta, in class XII Machines, using the Thiagarajan RnD 4D steps, namely Define, Design, Develop and Disseminate. From this research, an authentic assessment instrument has been developed using the Moodle application on the Limit Function material. By reviewing the basic competencies in the Function Limit material, 20 questions were developed in the C2 (8 points), C3 (6 points) and C4 (6 points) categories and validated with a professional judgment on the test instrument. In the student attendance data, it appears that the desire of students to improve their understanding of the Limit Function material is quite high, more than 70% of students want to repeat the class independently. Also, the average student attendance was 13.4 out of 10 meetings planned in the teacher's lesson plan (1 meeting for the implementation of daily tests). From the average value of assignments, there was an increase in the grades in assignment 1 and assignment 2, but in assignment 3, the average score of student achievement decreased, this was possible because the material in assignment 3 was a continuation of the material for assignments 1 and 2, but if viewed from the frequency of doing assignments in each task session, there was a decrease in the number of frequencies. This can be seen in assignment 2, where the average student did the assignment 2.87 on task 1, and in task 2 the average student did 2.43 times with the results significantly increasing. Meanwhile, the average daily test for students in class XII M1 was 78.7, which means that the class average was above the school's KKM and 73.3% of students obtained learning outcomes above the KKM on the Function Limit material. It can b
本研究的目的是利用Moodle e-learning开发一个评估系统,以改善学生在知识、技能和态度方面的数学学习成果。本研究的开发设计更多地是关于如何开发具有真实评估的学习活动,这些评估必须由教师进行,当然,如果一切都是纸质的,这将是非常困难的。实施可靠且易于教师管理的评估成为研究者考虑的问题。对于印度尼西亚民族正在经历的大流行情况,在线学习是学生和教师的一种选择。即使是在必须进行的评估中。出于这个原因,Moodle应用程序是一种替代方案,它允许学生轻松访问教学材料并练习解决问题。在SMK中做发展研究很有趣,为什么呢?因为中职学生通常对数学缺乏积极的态度。利用Moodle应用程序在课堂上学习数学当然是老师的工作,要限制面对学生的时间,并将这些缺乏积极态度的学生转化为“能量”来优化学生的能力。这项研究是在SMK Warga Surakarta进行的,在第十二类机器中,使用Thiagarajan RnD 4D步骤,即定义,设计,开发和传播。通过本研究,利用Moodle应用程序开发了一种真实的极限函数材料评估工具。通过回顾《功能极限》材料中的基本能力,制定了C2(8分)、C3(6分)和C4(6分)类别的20个问题,并对测试工具进行了专业判断。在学生的出勤数据中,我们可以看到学生对极限函数材料的理解欲望是相当高的,超过70%的学生想要独立重复上课。此外,在教师教案中计划的10次会议中,学生的平均出勤率为13.4次(1次会议用于实施日常测试)。从作业的平均值来看,作业1和作业2的成绩有所提高,但在作业3中,学生的平均成绩有所下降,这可能是因为作业3中的材料是作业1和作业2的材料的延续,但如果从每个任务会话中做作业的频率来看,频率有所减少。这可以从作业2中看到,在任务1中,学生平均做了2.87次,在任务2中,学生平均做了2.43次,结果显著增加。同时,十二班M1学生的平均日考成绩为78.7分,班级平均成绩高于学校KKM, 73.3%的学生在功能极限材料上的学习成绩高于KKM。可以说,学习可以提高学生的学习成果,激励学生,因为从回应问卷来看,86.7%的学生表示他们有动力去尝试测试,以获得好的结果。
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引用次数: 2
Advanced Mathematic Thinking Ability Based on The Level of Student's Self-Trust in Learning Mathematic Discrete 基于学生数学离散学习自信心水平的高等数学思维能力研究
Pub Date : 2020-12-25 DOI: 10.20961/JMME.V10I2.47080
Y. Kuswardi, B. Usodo, S. Sutopo, H. E. Chrisnawati, F. Nurhasanah
Mathematical thinking and self-confidence are indispensable aspects of learning mathematics and are influential in solving mathematical problems. In higher education mathematics learning, advanced mathematical thinking skills are required (Advance Mathematical Thinking. Advanced mathematical thinking processes include: 1) mathematical representation, 2) mathematical abstraction, 3) connecting mathematical representation and abstraction, 4) creative thinking, and 5) mathematical proof. Discrete mathematics is one of the courses in mathematics education FKIP UNS. The problems in Discrete Mathematics courses are usually presented in the form of contextual problems. Students often experience difficulties in making mathematical expressions and mathematical abstractions from these contextual problems. In addition, students also experience difficulties in bookkeeping. Most students often prove by using examples of some real problems. Even though proof in mathematics can be obtained by deductive thinking processes or inductive thinking processes, the truth is that mathematics cannot only come from the general assumption of inductive thinking. Based on this, a qualitative descriptive study was carried out which aims to determine the advanced mathematical thinking skills based on the level of student self-confidence. Research with the research subjects of FKIP UNS Mathematics Education Students in Discrete Mathematics learning for the 2019/2020 school year gave general results that the student's ability in advanced mathematical thinking was strongly influenced by the level of student confidence in learning. The higher the student's self-confidence level, the better the student's advanced mathematical thinking ability, so that high self-confidence has a great chance of being successful in solving math problems.
数学思维和自信是学习数学不可缺少的方面,对解决数学问题有重要影响。在高等教育的数学学习中,需要高级数学思维能力(高级数学思维)。高等数学思维过程包括:1)数学表征,2)数学抽象,3)将数学表征与抽象联系起来,4)创造性思维,5)数学证明。离散数学是我校数学教育课程之一。离散数学课程中的问题通常以情境问题的形式呈现。学生在从这些上下文问题中做出数学表达式和数学抽象时经常遇到困难。此外,学生在记账方面也遇到了困难。大多数学生经常用一些实际问题的例子来证明。尽管数学中的证明可以通过演绎思维过程或归纳思维过程来获得,但事实是,数学不能仅仅来自归纳思维的一般假设。在此基础上,进行了一项定性描述性研究,旨在确定基于学生自信水平的高等数学思维能力。在2019/2020学年,以FKIP UNS数学教育学生在离散数学学习中的研究对象进行的研究得出了学生学习信心水平对学生高等数学思维能力的强烈影响的总体结果。学生的自信水平越高,学生的高级数学思维能力就越好,这样高的自信就有很大的机会成功解决数学问题。
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引用次数: 0
The Analysis of Class Management Ability to Improve Students’ Activity on Mathematics Learning Process at Grade 8 SMP Swasta Pab 2 Helvetia 班级管理能力对提高八年级学生数学学习过程主动性的影响分析
Pub Date : 2020-12-25 DOI: 10.20961/JMME.V10I2.47085
Nanda Tia Losi, MY Siregar, C. Puspaningrum
In the teaching and learning process, teacher is not only required to have knowledge to be given to his students. But teachers are required to have the ability to manage the class well. This research aimed to explain students’ activity and the class management to overcome students’ learning difficulty on Mathematics learning. This research used qualitative approach. The subject of research was the mathematic teachers and grade 8 students at SMP PAB 2 Helvetia. The data was collected by observation, interview, and documentation. The research result showed that mostly teachers managed the class well, physically and non-physically. It was seen by the following percentage: (1) physic management for 50% and  non-physic management for 52.94% (Teacher of G-1), (2) physic management for 33.33% and non-physic management for 35.30% (Teacher of G-2).As for students’ activity at grade 8-1by the following percentage: (1) Visual activities 66.22%; (2) Oral activities 52.70%; (3) Listening activities 73.65%; (4) Writing activities 73.65%; (5) Drawing activities 0%; (6) Motor activities 0%; (7) Mental activities 52.70%; (8) Emotional activities 54.05%. Students’ activity at grade 8-5 by the following percentage: (1) Visual activities 42.50%; (2) Oral activities 30.63%; (3) Listening activities 41.25%; (4) Writing activities 46.88%; (5) Drawing activities 0%; (6) Motor activities 0%; (7) Mental activities 33.75%; (8) Emotional activities 28.75%.
在教学过程中,教师不仅要有知识传授给学生。但是要求教师有能力很好地管理班级。本研究旨在解释学生在数学学习中的主动性和班级管理以克服学生的学习困难。本研究采用定性方法。研究对象是赫尔维蒂亚中学数学教师和八年级学生。数据通过观察、访谈和文献收集。研究结果表明,大多数教师对班级的管理都很好,无论是身体管理还是非身体管理。(1)物理管理占50%,非物理管理占52.94% (G-1组教师);(2)物理管理占33.33%,非物理管理占35.30% (G-2组教师)。8-1年级学生的活动比例如下:(1)视觉活动占66.22%;(2)口头活动52.70%;(3)听力活动73.65%;(4)写作活动73.65%;(5)绘图活动0%;(6)运动活动0%;(7)心理活动52.70%;(8)情绪活动54.05%。8-5年级学生活动占比如下:(1)视觉活动占比42.50%;(2)口头活动30.63%;(3)听力活动41.25%;(4)写作活动46.88%;(5)绘图活动0%;(6)运动活动0%;(7)心理活动33.75%;(8)情绪活动28.75%。
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引用次数: 0
Analysis of Difficulty Level on The Topic Line and Angle 题目线和角度的难度等级分析
Pub Date : 2020-06-20 DOI: 10.20961/JMME.V10I1.42431
M. A. Kleden, Maria Lobo, Ganesha Lapenangga, Y. Sugi
A study on the level of difficulty of the mathematics subject has been carried out inthe Junior High Schools Aroun the City of Kupang. The samples were taken purposively among year 8 students and their mathematics teachers in the second semester from 8 public schools and 5 private schools. The number of samples was 659 students and 33 teachers. The analysis was conducted on the topics of Comparison, Aritmatic, Lines and Angles and Triangles and Quadrilateral Shapes. The study shows that the most challenging mathematic topics for the year 8 students in the City of Kupang is Lines and Angles followed by the calculation of area of irregular plane shapes particularly on pentagon forms
对古邦市周边初中数学学科难度水平进行了研究。样本有目的地选取了8所公立学校和5所私立学校的8年级学生及其下学期的数学老师。样本数量为659名学生和33名教师。分析的主题是比较、算术、线与角、三角形与四边形。研究表明,对于古邦市八年级学生来说,最具挑战性的数学题目是线和角,其次是不规则平面形状的面积计算,特别是五边形
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引用次数: 0
On Non Inclusive Distance Vertex Irregularity Strength of Tadpole and Path Corona Path Graphs 蝌蚪与路径电晕路径图的非包容距离顶点不规则强度
Pub Date : 2020-06-20 DOI: 10.20961/JMME.V10I1.42405
M. Bilal, D. Indriati, V. Y. Kurniawan
Let 𝐺 = (𝑉, 𝐸) be a connected and simple graph with vertex set 𝑉(𝐺) and edge set 𝐸(𝐺). A non inclusive distance vertex irregular labeling of a graph 𝐺 is a mapping of 𝜆 ∶ (𝑉, 𝐺) → {1, 2, … , 𝑘} such that the weights calculated for all vertices are distinct. The weight of a vertex 𝑣, under labeling 𝜆, denoted by 𝑤𝑡(𝑣), is defined as the sum of the label of all vertices adjacent to 𝑣 (distance 1 from 𝑣). A non inclusive distance vertex irregularity strength of graph 𝐺, denoted by 𝑑𝑖𝑠(𝐺), is the minimum value of the largest label 𝑘 over all such non inclusive distance vertex irregular labeling. In this research, we determined 𝑑𝑖𝑠(𝐺) from 𝑇𝑚,𝑛 graph with 𝑚 ≥ 3, 𝑚 odd, 𝑎𝑛𝑑 𝑛 ≥ 1 and 𝑃𝑛 ⊙ 𝑃𝑛 graph 𝑤𝑖𝑡ℎ 𝑛 ≥ 2 and 𝑛 even.
设𝐺=(𝐺,)是一个连通的简单图,其顶点集为𝐺,边集为(𝐺)。图𝐺的非包含距离顶点不规则标记是一个映射,它是对(1, 2,…,𝑘)→{1,2,…,𝑘}的映射,使得所有顶点的权重计算是不同的。顶点𝑣的权值,在标注为𝑤𝑡(𝑣)的情况下,被定义为与𝑣相邻的所有顶点(距离𝑣为1)的标记之和。图𝐺的非包容距离顶点不规则性强度,用𝑑𝑠(𝐺)表示,是所有此类非包容距离顶点不规则性标记的最大标签𝑘的最小值。在这个研究中,我们确定𝑑𝑖𝑠(𝐺)𝑇𝑚,𝑛图与𝑚≥3,𝑚奇怪,𝑎𝑛𝑑𝑛≥1和𝑃𝑛⊙𝑃𝑛图𝑤𝑖𝑡ℎ𝑛≥2甚至𝑛。
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引用次数: 0
Relationship between Views of Progressivism and Curriculum 2013 on Mathematics Learning 进步主义观点与2013年《数学学习课程》的关系
Pub Date : 2019-12-23 DOI: 10.20961/jmme.v9i2.48392
I. Rachmawati
Progressivism is one of the streams that can contribute and require problem solving in mathematics learning. Progressivism supports changes for the better that prioritize students and develop various student abilities in the implementation of learning. Educational programs that prioritize students in the progressivism view of the curriculum. The 2013 curriculum is a learning system renewal that is expected to further develop the potential of students. The 2013 curriculum requires students who are passive to be active in order to solve problems in learning mathematics. The implementation of the 2013 curriculum changes previous learning activities towards a learning system more advanced so that students' ability to solve math problems can develop. This article aims to determine the relationship between progressivism views and the 2013 curriculum on mathematics learning. This article uses a literature study method. This data is obtained from some of the research results contained in books, journals, and proceedings that are related to the title of the article. The results show that the viewpoint of progressivism is interrelated with the 2013 curriculum in mathematics learning. Progressivism can make a major contribution to the development and progress in the implementation of the 2013 curriculum, it can be seen from the relationship between the two wanting a change in the learning process so that it focuses more on students. 
在数学学习中,进步主义是一种能够促进和要求解决问题的流派。进步主义支持更好的改变,优先考虑学生,并在学习的实施中培养学生的各种能力。在课程的进步主义观点中,优先考虑学生的教育计划。2013年的课程是一个学习系统的更新,有望进一步开发学生的潜力。2013年的课程要求在数学学习中被动的学生主动起来解决问题。2013年课程的实施改变了以前的学习活动,朝着更高级的学习系统发展,从而使学生解决数学问题的能力得到发展。本文旨在确定进步主义观点与2013年数学学习课程之间的关系。本文采用文献研究法。这些数据来自与文章标题相关的书籍、期刊和会议记录中包含的一些研究结果。结果表明,进步主义的观点与2013年的数学学习课程是相互关联的。进步主义可以为2013年课程实施的发展和进步做出重大贡献,从两者之间的关系可以看出,他们希望改变学习过程,使其更加关注学生。
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引用次数: 0
The Process of Student's Mathematic Abstract from Spatial Intelligence 从空间智能看学生数学文摘的过程
Pub Date : 2019-12-23 DOI: 10.20961/jmme.v9i2.48396
Nor Khasanah, Nurkaidah Nurkaidah, R. Dewi, Y. A. Prihandika
Every student must have mathematical abstraction skills. Research with a qualitative approach aims to identify the mathematical abstraction process of students when working on geometric material problems in terms of spatial intelligence. By using a descriptive design, apart from the researcher as the main instrument, the mathematical abstraction test, the spatial intelligence test, and the interview reference were used as auxiliary instruments. A total of 6 students from class VIII were selected through purposive sampling technique which was taken from each category of spatial ability which had been classified into high, medium and low criteria. Based on data analysis, students' mathematical abstraction can be grouped into 4 levels, namely: recognition, representation, structural abstraction, and structural awareness. The conclusions of this study are: 1) students with a high level of spatial intelligence can achieve all four levels of mathematical abstraction characteristics and activities, namely recognition, representation, structural abstraction, and structural awareness. 2) students with moderate spatial intelligence can only achieve two levels of mathematical characteristics and abstraction activities, namely recognition and representation. 3) students with low-level spatial intelligence are only able to achieve one level of mathematical abstraction characteristics and activity, namely recognition where students are able to remember previous activities and experiences related to the problems at hand. This shows that students with moderate and low-level spatial intelligence do not have adequate abstraction skills in the concept of geometry.
每个学生都必须具备数学抽象技能。采用定性方法的研究旨在从空间智能的角度确定学生在处理几何材料问题时的数学抽象过程。采用描述性设计,除研究者为主要工具外,还采用数学抽象测验、空间智力测验和访谈参考作为辅助工具。采用有目的抽样的方法,从空间能力的高、中、低三个类别中抽取六名八班学生。根据数据分析,学生的数学抽象可以分为4个层次,分别是:识别、表征、结构抽象和结构意识。研究结果表明:1)空间智能水平高的学生能够实现数学抽象特征和活动的所有四个层次,即识别、表征、结构抽象和结构意识。2)中等空间智力的学生在数学特征和抽象活动上只能达到两个层次,即识别和表征。3)空间智力水平低的学生只能达到一个层次的数学抽象特征和活动,即识别,即学生能够记住与手头问题相关的先前活动和经验。这说明空间智能中低水平的学生在几何概念的抽象能力不足。
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引用次数: 0
期刊
Journal of Mathematics and Mathematics Education
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