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ANALYSIS OF HIGH SCHOOL STUDENTS LOGICAL-MATHEMATICAL THINKING ABILITY BASED ON THE POLYA STAGE SOLVING IN TERMS OF MATHEMATICAL SELF-CONCEPT ABILITY 从数学自我概念能力的角度分析基于多阶段解的高中生逻辑数学思维能力
Pub Date : 2022-01-31 DOI: 10.31000/prima.v6i1.5316
Rika Mulyati Mustika Sari, N. Priatna, D. Juandi
This research is based on the importance of logical-mathematical thinking skills in solving logical-mathematical problems. The research purpose is to describe high school students' logical thinking abilities on geometric transformation material in terms of mathematical self-concepts. The research used a qualitative approach, with the research subject as many as six students of 12th grades science class from one of Bandung Regency high schools selected by sampling technique. Students' logical thinking ability is known from the test scores in solving compiled problems. The score refers to logical-mathematical thinking ability indicators, and the problem-solving technique refers to the Polya stages. Data analysis techniques used are data reduction, data presentation, descriptive statistical calculations, and conclusions/verification. The results showed that the overall students’ logical-mathematical thinking ability in the geometry transformation material is in the medium category. In the self-concept category, subjects with high self-concept can fulfil logical thinking questions based on Polya stages. As for subjects with moderate self-concept, the students can only fulfil several indicators of logical-mathematical thinking skills with problem-solving techniques. The result is still not perfect refer to the Polya stage. As for the subject with low self-concept, almost all Polya stages are not fulfiled. The students in the low self-concept category answered the questions incompletely. They had difficulty understanding the problem and planning a solution so that their answers did not match the questions.
本研究基于逻辑数学思维能力在解决逻辑数学问题中的重要性。本研究的目的是用数学自我概念描述高中生对几何变换材料的逻辑思维能力。本研究采用质性研究方法,选取万隆县一所高中12年级科学班的6名学生为研究对象,采用抽样方法进行研究。学生的逻辑思维能力可以从解决汇编题的测试成绩中得知。分数指的是逻辑数学思维能力指标,解决问题的技巧指的是Polya阶段。使用的数据分析技术包括数据简化、数据呈现、描述性统计计算和结论/验证。结果表明,学生在几何变换材料中的逻辑数学思维能力总体处于中等水平。在自我概念范畴中,自我概念高的被试能够完成基于Polya阶段的逻辑思维题。对于自我概念中等的被试,学生只能通过解决问题的技巧来完成逻辑数学思维技能的几个指标。参考Polya阶段,结果仍然不完美。对于自我概念低的主体,几乎所有的Polya阶段都没有得到满足。低自我概念组学生回答问题不完整。他们很难理解问题并计划解决方案,因此他们的答案与问题不符。
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引用次数: 2
ANALYSIS OF STUDENTS' CREATIVE THINKING SKILLS IN LINEAR ALGEBRA COURSES DURING THE COVID-19 PANDEMIC 新冠肺炎疫情期间学生线性代数课程创造性思维能力分析
Pub Date : 2022-01-31 DOI: 10.31000/prima.v6i1.5266
H. Saleh, Dian Nopitasari, Ahmad Fadillah, W. Bilda
The purpose of this study is to analyze students' creative thinking skills in linear algebra courses in the Covid-19 period. This research was conducted in students of the third semester of the academic year 2021/2022 using 28 respondents. Data collection is done using a creative thinking questionnaire of 30 statement items that have been compiled according to indicators of creative thinking ability. The scale used in this study is the Likert scale. Data analysis to find out the ability to creatively think students used narrative analysis techniques with ideal criteria, namely ideal mean and ideal deviation standards. Based on data analysis obtained as a result of using indicators: fluency (72.50), elaboration (78.00), Flexibility (72.00), originality (70.00). So it can be concluded that the creative thinking ability of students in linear algebra courses is in a moderate category with an average score of 73.13.
本研究的目的是分析新冠肺炎疫情时期线性代数课程中学生的创造性思维能力。这项研究是在2021/2022学年第三学期的学生中进行的,共有28名受访者。数据收集采用创造性思维问卷,根据创造性思维能力指标编制了30个语句项。本研究使用的量表为李克特量表。数据分析考察学生创造性思维能力,采用理想标准的叙事分析技巧,即理想均值和理想偏差标准。根据使用指标得出的数据分析:流利度(72.50),阐述度(78.00),灵活性(72.00),独创性(70.00)。由此可见,线性代数课程学生的创造性思维能力处于中等水平,平均得分为73.13分。
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引用次数: 0
MONTESSORI MATHEMATICS FOR STUDENTS WITH PERVASIVE DEVELOPMENTAL DISORDER - NOT OTHERWISE SPECIFIED 蒙台梭利数学为学生普遍发展障碍-没有另行说明
Pub Date : 2022-01-31 DOI: 10.31000/prima.v6i1.5300
D. A. Cipta, Erawati Kartika, Anik Kurniawati
Montessori is a learning method that uses the surrounding environment as a learning resource. This research is aimed at describing how the Montessori method is applied to Mathematics for students who survive Pervasive Developmental Disorder - Not Otherwise Specified (PDD-NOS). The research method used is descriptive qualitative. The research subjects were PDD-NOS grade V SD students in inclusive schools. The research instruments were documentation, observation, and interviews. The results showed that students with PDD-NOS who have delays in communication can more easily accept mathematics learning using the Montessori method. This is supported by the Montessori concept which allows PDD-NOS students to use lego in learning fractions.
蒙台梭利是一种利用周围环境作为学习资源的学习方法。本研究旨在描述如何将蒙台梭利方法应用于患有广泛性发展障碍(PDD-NOS)的学生的数学。使用的研究方法是描述性定性的。研究对象为全纳学校PDD-NOS五年级学生。研究手段为文献资料法、观察法和访谈法。结果表明,交际迟缓的PDD-NOS学生更容易接受蒙台梭利方法的数学学习。这得到了蒙台梭利概念的支持,该概念允许PDD-NOS学生使用乐高学习分数。
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引用次数: 2
DEVELOPMENT OF ETHNOMATHEMATICS-BASED WORKSHEET ON TRANSFORMATION GEOMETRY 基于民族数学的变换几何工作表的开发
Pub Date : 2022-01-31 DOI: 10.31000/prima.v6i1.5343
R. S. F. Iskandar, Dewi Ranti, N. Priatna
This study aims to analyze the effectiveness of ethnomathematics-based student worksheets with West Java batik motifs in solving students' mathematical problems. The research method used in this study is a quantitative method with the type of research only posttest control design. The population in this study were all students of class XI SMK Negeri 5 Bekasi. The sampling technique used in this study is a cluster random sampling technique. From the sampling results, it was found that 2 classes were used as the experimental class and the control class. The experimental class is a class whose learning uses ethnomathematics-based mathematics teaching materials, while the control class is a class whose learning does not use ethnomathematics-based mathematics teaching materials. Data collection techniques used are documentation method, observation method and test method. Data analysis technique used in this research is quantitative data analysis technique using t-test. Based on the results of the research and discussion that have been described, the conclusions that can be drawn are from the results of the calculation of the t-test of posttest data for the two classes, namely the control class and the experimental class, it is obtained that the 2-way (t-tailed) significance value is 0.000 < 0.05 . So there is a significant difference between the control group and the experimental group.
本研究旨在分析西爪哇蜡染图案的民族数学学生习题在解决学生数学问题上的效果。本研究采用的研究方法为定量方法,研究类型仅为后测控制设计。本研究采用的抽样技术是聚类随机抽样技术。从抽样结果中可以看出,我们采用了2个班级作为实验班和控制班。实验班是使用民族数学为基础的数学教材进行学习的班级,而控制班是不使用民族数学为基础的数学教材进行学习的班级。采用的数据收集技术有文献法、观察法和试验法。本研究使用的数据分析技术是使用t检验的定量数据分析技术。根据上述研究和讨论的结果,可以得出的结论来自对两类即控制类和实验类的后验数据进行t检验的计算结果,得到双侧(t尾)显著性值为0.000 < 0.05。所以在对照组和实验组之间有显著的差异。
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引用次数: 0
LEARNING MEDIA PALANG AJIB (PAPAN LANGKA AJAIB) TO EASY IN UNDERSTANDING THE METERIALS OF RELATIONSHIP AND FUNCTIONS 学习媒体帕朗阿吉布(papan langka ajaib)便于理解材料的关系和功能
Pub Date : 2022-01-31 DOI: 10.31000/prima.v6i1.5531
Brenda Indah Nirmala, Muhammad Ikram An-Nurdin, Muhamad Yafis Kahfi Muttaqin, Novi Aisy Fajriati, A. Surur
The teaching and learning process needs the media that plays a role in it. Decreased student understanding in learning results in decreased student learning outcomes. The media that is considered appropriate and in accordance with current conditions is the Palang Ajib learning media (Papan langka Ajaib). This media is used to teach in the classroom where the teacher usually only uses books and boards. The research method used is development research with the ADDIE model. The research begins with an analysis of the needs needed in the field, then continues with making appropriate media designs. The next step is to develop the media based on the designs that have been made. The next step is implementation and evaluation. By using this learning media, it is intended to make the learning process more effective and not boring. In addition, there is another purpose, namely this media is made to make it easier for students to learn and understand the material Relations and Functions. The process of making this learning media using materials and tools can be found in the surrounding environment. In addition, the benefits of this media make it easier for students to learn and understand Relations and Functions material, hone children's creativity, increase children's interest and enthusiasm in studying Relations and Functions material.
教学过程需要媒体在其中发挥作用。学生对学习理解的降低导致了学生学习成果的降低。根据目前的情况,被认为适当的媒体是Palang Ajib学习媒体(Papan langka Ajaib)。这种媒体用于课堂教学,老师通常只使用书本和黑板。研究方法采用ADDIE模型进行发展研究。研究开始于对该领域的需求进行分析,然后继续进行适当的媒体设计。下一步是根据已经做出的设计来开发媒体。下一步是实施和评估。通过使用这种学习媒体,目的是使学习过程更有效,不无聊。此外,还有一个目的,即制作这种媒介是为了让学生更容易地学习和理解物质的关系和功能。使用材料和工具制作这种学习媒介的过程可以在周围环境中找到。此外,这种媒体的好处使学生更容易学习和理解关系与函数材料,磨练儿童的创造力,增加儿童学习关系与函数材料的兴趣和热情。
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引用次数: 0
THE STUDENT’S ENHANCEMENT OF MULTIPLE REPRESENTATION ABILITY USING MERRILL’S FIRST PRINCIPLES OF INSTRUCTION 运用梅里尔的第一教学原则提高学生的多重表征能力
Pub Date : 2022-01-31 DOI: 10.31000/prima.v6i1.5167
H. Wilujeng, Retno Andriyani
A learning process in schools realizes the purpose of this education. Mathematical multi representation ability is one of the general goals of teaching mathematics in schools. This research is quasi-experimental. The amount of increase before and after learning is calculated by the normalized gain formula. There is a difference in the increase in mathematical multi-representation abilities of students who receive MFPI learning than conventional learning based on high KAM and medium early mathematical ability. By contrast, at low early mathematical ability, there is no difference in increasing multi representation abilities. Most students use mathematical representations. The percentage of students using more than two representations is 40%. MFPI learning affects students with high and medium KAM but does not affect students with low early mathematical ability. Because at the MFPI learning stage, low early mathematical ability students lack initial knowledge that can be used to form new knowledge.
学校的学习过程实现了这种教育的目的。数学多元表示能力是学校数学教学的总体目标之一。这项研究是准实验性的。学习前后的增加量由归一化增益公式计算。接受MFPI学习的学生在数学多表示能力上的提高与基于高KAM和中等早期数学能力的传统学习有差异。相比之下,在早期数学能力较低的情况下,多表示能力的提高没有差异。大多数学生使用数学表示。使用两种以上表示的学生比例为40%。MFPI学习对高、中等早期数学能力的学生有影响,对早期数学能力低的学生没有影响。因为在MFPI学习阶段,早期数学能力低的学生缺乏可以用来形成新知识的初始知识。
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引用次数: 1
IMPLEMENTATION OF THE TPACK FRAMEWORK TO MEASURE INTEGRATION OF TECHNOLOGY, PEDAGOGY AND THE CONTENT OF LECTURERS IN MATHEMATICS EDUCATION 应用tpack框架衡量数学教育中技术、教学法和讲师内容的整合
Pub Date : 2021-08-01 DOI: 10.31000/PRIMA.V5I2.4158
H. Nindiasari, Nena Restiana, A. S. Pamungkas
One of the obstacles using technology is the lack of teacher understanding of technology, therefore this study aims to determine the understanding of lecturers of mathematics education on the integration of technology in learning using the TPACK (Technological, Pedagogical, Content Knowledge) framework, a few of research that applying TPACK in universities. Furthermore, the both effect of gender and age of teaching on TPACK were analyzed on TPACK using analysis of variance (ANOVA). The results of this study are Power point applications are technologies that are widely used by mathematics education lecturers by 40.9%. PCK, PK and CK components have a strong positive effect on TPACK perceptions of mathematics education lecturers. The average value of TPACK components is TK 3.95; CK 4.01; PK 4.08; 4.02 PCK; TCK 4.04; TPK 4.02; TPACK 3.96. For an in-depth analysis of gender and age of teaching factors on the TPACK component. This study found that gender and duration of teaching was no significant influence between the understanding of mathematics education lecturers and the seven components of TPACK.
使用技术的障碍之一是教师缺乏对技术的理解,因此本研究旨在确定数学教育讲师对使用TPACK (Technological, Pedagogical, Content Knowledge)框架整合技术在学习中的理解,以及一些在大学中应用TPACK的研究。此外,采用方差分析(ANOVA)分析性别和教学年龄对TPACK的影响。本研究结果显示,40.9%的数学教育讲师广泛使用ppt应用技术。PCK、PK和CK成分对数学教育教师的TPACK感知有较强的正向影响。TPACK各分量的平均值为TK 3.95;CK 4.01;PK 4.08;4.02 PCK;TCK 4.04;TPK 4.02;TPACK 3.96。深入分析了性别和年龄对TPACK构成的教学影响因素。本研究发现,性别和教学时间对数学教育讲师对TPACK七个组成部分的理解没有显著影响。
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引用次数: 1
ANALYSIS OF STUDENT’S MATHEMATICAL REASONING ABILITY IN SOLVING MATHEMATICAL PROBLEM BASED ON HOTS 基于热点的学生数学推理能力分析
Pub Date : 2021-08-01 DOI: 10.31000/PRIMA.V5I2.3661
S. Herawati, Puspa Amelia
This study was focused onanalyzing student’s mathematical reasoning abilities in solving Higher Order Thinking Skill (HOTS) problems anddetermining the level of student understanding of HOTS questions. The researchmethod is qualitative descriptive with 12 subjects. Based on the results of the test, the subject’s reasoning abilities were grouped into 3 categories of reasoning abilities, namely high, moderate and low. The results showed that students who had high reasoning abilities were able to fulfill the 7 mathematical reasoning indicators very well at each stage of real analysis problem solving and were able to work on HOTS levelquestions to analyze and create. Students with moderate reasoning abilities were only able to fulfill several indicators of mathematical reasoning, namely presenting written statements, solving problems as planned and checking again. Students who had low reasoning abilities were not able to understand the questions well, so students cannot solve it. Based on the results of the questionnaire, it was concluded that 46.67% of students could understand the HOTS problem well, 33% of the students could not plan the solution, namely writingdown the information that was known in answering the questions, and 33% of the students were not able to check the validity of an argument and draw conclusions on the evidence. Furthermore, it was obtained the relationship between student’s mathematical reasoning abilities and the level of student understanding of HOTS-oriented questions which fulfilled the linear regression equation Y = 71.574 + 0.009X.This model showed that the level of student understanding of HOTS-oriented questions had a positive effect on learning outcomes. Based on the research results, it was suggested that lecturers provide more training related toproof with the aim of improving students' mathematical reasoning abilities.  
本研究旨在分析学生在解决高阶思维技能(HOTS)问题时的数学推理能力,并确定学生对HOTS问题的理解水平。研究方法为定性描述,共12个研究对象。根据测试结果,将被试的推理能力分为高、中、低3类。结果表明,推理能力较强的学生在实际分析解题的各个阶段都能很好地完成7项数学推理指标,并能对HOTS级别的问题进行分析和创造。推理能力中等的学生只能完成数学推理的几个指标,即提出书面陈述、按计划解决问题和再次检查。推理能力低的学生不能很好地理解问题,所以学生不能解决问题。根据问卷调查的结果,46.67%的学生能够很好地理解HOTS问题,33%的学生不能计划解决方案,即写下回答问题时所知道的信息,33%的学生不能检查论点的有效性并根据证据得出结论。进一步得到学生数学推理能力与学生对hot -oriented problem理解水平之间的关系,满足线性回归方程Y = 71.574 + 0.009X。该模型表明,学生对热点问题的理解水平对学习结果有积极的影响。根据研究结果,建议教师提供更多与证明相关的培训,以提高学生的数学推理能力。
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引用次数: 1
ERROR PROCEDURE ANALYSIS BASED ON NEWMAN IN SOLVING LOGARITH M QUESTIONS REVIEW STUDENT'S BEGINNING MATHEMATICS ABILITY 基于纽曼解对数题的误差过程分析,回顾了学生的初级数学能力
Pub Date : 2021-08-01 DOI: 10.31000/prima.v5i2.4491
M. Firmansyah, Dian Nopitasari, Lely Lailatus Syarifah, Rizki Yulianah
Understanding the stages of solving problems in a material is a basic asset for students ini the context of meaningful learning. This study aims to determine the number of errors ini stages or procedures performed by students on solving logarithmic questions. Another objective of this study is to find out what factors influence procedure errors based on the high, medium, an low initial mathematical abilities performed by  students when solving logarithmic questions. The method used in this research is descriptive qualitative. The population of this study were students of class X MIPA MA Annida Al Islamy in the academic year 2020/2021. The subjects of this study were 3 students consisting of students with moderate, low, and high mathematical abilities. The research data will be anylized using data reduction techniques. The validity of this research data using the triangulation method (tests, interviews, and documentation). The research instrument used a multiple choice test consisting of 10 SMP UN questions and a test in the form of a description consisting of 5 logarithmic questions.
理解材料中解决问题的阶段是学生在有意义学习的背景下的基本资产。本研究旨在确定学生在解决对数问题的各个阶段或过程中的错误数量。本研究的另一个目的是根据学生在解决对数问题时的高、中、低初始数学能力,找出影响程序错误的因素。本研究采用描述定性方法。本研究的人群是2020/2021学年MIPA MA Annida Al Islamy班的学生。本研究以3名学生为研究对象,包括中等、低、高等数学能力学生。研究数据将使用数据约简技术进行分析。本研究数据的有效性使用三角测量法(测试,访谈和文件)。研究工具使用由10个SMP UN问题组成的选择题测试和由5个对数问题组成的描述形式的测试。
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引用次数: 0
PROFILE OF STUDENTS’ COMPUTATIONAL THINKING BASED ON SELF-REGULATED LEARNING IN COMPLETING BEBRAS TASKS 学生在自主学习的基础上完成bebras任务的计算思维概况
Pub Date : 2021-08-01 DOI: 10.31000/PRIMA.V5I2.4173
Diah Nuraisa, H. Saleh, Sigit Raharjo
Bebras task is a problem solving problem that integrates computational thinking in it, which the stages in computational thinking consist of: decomposition, abstraction, algorithm, and pattern recognition. This study aims to describe the profile of student’s computational thinking based on the level of self-regulated learning in completing bebras task. This study is a qualitative-descriptive study with three research subjects based on the level of students’ self-regulated learning, namely high self-regulated learning, medium self-regulated learning, and low self-regulated learning. The results of this study indicate that students with different levels of self-regulated learning have different computational thinking ability in completing bebras task. Student with high level of self-regulated learning can reach the stages of decomposition, abstraction, algorithm, and pattern recognition. Student with medium level of self-regulated learning can reach the stages of decomposition, absraction, and algorithm. Student with low level of self-regulated learning can reach the stage of decomposition only. Student with low level of self-regulated learning do not yet reflect independence in learning.
Bebras任务是一个集成了计算思维的问题解决问题,计算思维的阶段包括:分解、抽象、算法和模式识别。本研究旨在描述基于自主学习水平的学生在完成bebras任务时的计算思维状况。本研究是基于学生自主学习水平的定性描述性研究,分为高自主学习、中等自主学习和低自主学习三个研究对象。本研究结果表明,不同自主学习水平的学生在完成bebras任务时具有不同的计算思维能力。自主学习水平高的学生可以达到分解、抽象、算法、模式识别等阶段。中等自主学习水平的学生可以达到分解、抽象和算法阶段。自我调节学习水平低的学生只能达到分解阶段。自主学习水平低的学生在学习上还没有体现出独立性。
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引用次数: 3
期刊
Prima Jurnal Pendidikan Matematika
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