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ANALYSIS OF STUDENT DIFFICULTIES IN SOLVING TRIGONOMETRIC PROBLEM 学生解决三角问题的难点分析
Pub Date : 2020-04-30 DOI: 10.22236/kalamatika.vol5no1.2020pp1-8
Yusuf Faturohman, S. Amelia
This study is done to explore learning difficulties when students are given trig problems in solving math problems. Learning difficulties that encounter during learning and results in less than optimal learning. Trigonometric materials given are just about the number and ratio of sine cosine. Trigonometric materials are given based on the results of a study in student mathematics problem. The ability to solve mathematical problems based on 4 indicators is to understand problems, plan ideas to use, solve problems and reexamine them. This research was tested in praise of the sophomores science class 2 MAN Cimahi. This method of research with qualitative research with students analyzes answer results. The results of this research have found some difficulty with learning problem-solving skills. As for the fourth problem he gave, many of the students had difficulty solving the trigonometry problem. ARTICLE INFORMATION
本研究旨在探讨学生在解决数学问题时遇到的学习困难。在学习过程中遇到的学习困难,导致学习效果达不到最佳。给出的三角函数资料就是关于正弦余弦的个数和比值。根据一个学生数学问题的研究结果,给出了三角函数的材料。基于4个指标的数学解题能力是理解问题、计划使用思路、解决问题和重新审视问题的能力。本研究是为了表扬二年级科学2班的MAN Cimahi而进行的。这种研究方法采用定性研究与学生分析答案的结果。这项研究的结果发现,在学习解决问题的技能方面存在一些困难。至于他给的第四个问题,很多学生都很难解决三角问题。条信息
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引用次数: 0
IDENTIFIKASI KESULITAN BELAJAR MAHASISWA MELALUI MODEL PROJECT BASED LEARNING 马学习健康项目学习模型的识别
Pub Date : 2018-04-02 DOI: 10.22236/KALAMATIKA.vol3no1.2018pp51-62
S. Firmasari
The purpose of this study was to know the learning difficulties experienced by third grade students of Mathematics Education Study Program during Project Based Learning (PjBL) implementation on Evaluation of Mathematics’ Learning Process and Result. This research used descriptive method with qualitative approach because it is relevant from the initial process to the final product, and research instrument used is in the form of interview sheet. The sample of this research is 68 third grade students of Mathematics Education Study Program of Faculty of Teaching and Educational Sciences, University of Swadaya Gunung Jati Cirebon. The study was conducted in the period of March - July 2016. Based on the results of this study it can be concluded that students' learning difficulties during the implementation of Project Based Learning caused by internal factors, that is lack of motivation, which can be seen from the lack of students in reading and looking for various references related to the material, they rely on one reference book only that used during lectures. This resulted to the lack of understanding in learning the Evaluation Instruments’ Quality which can be seen from the difficulty in classifying evaluation test questions based on Bloom's Taxonomy and arranging scoring guidelines, using validity formula, reliability, item discrimination, and index of difficulty to determine instrument quality, and difficulty in accomplishing the final product.
本研究的目的是了解数学教育研究项目三年级学生在实施基于项目学习的数学学习过程和结果评估过程中所经历的学习困难。本研究采用描述性方法和定性方法,因为它从最初的过程到最终的产品都是相关的,并且使用的研究工具是访谈表的形式。本研究的样本是Swadaya Gunung Jati Cirebon大学教学与教育科学学院数学教育研究项目的68名三年级学生。该研究于2016年3月至7月期间进行。基于本研究的结果,可以得出结论,学生在实施项目学习过程中的学习困难是由内部因素造成的,即缺乏动力,这可以从学生在阅读和寻找与材料相关的各种参考资料方面的不足中看出,他们只依赖于一本在课堂上使用的参考书。这导致了对评估工具质量的学习缺乏理解,这可以从基于Bloom分类法的评估试题分类和评分指南的排列、使用有效性公式、可靠性、项目判别和难度指数来确定工具质量的困难以及完成最终产品的困难中看出。
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引用次数: 1
PENINGKATAN KEMAMPUAN PEMECAHAN MASALAH DAN REPRESENTASI MULTIPEL MATEMATIS DENGAN MENGGUNAKAN MODEL PEMBELAJARAN KUANTUM 多重数学表示的表示
Pub Date : 2018-04-02 DOI: 10.22236/KALAMATIKA.vol3no1.2018pp1-16
Sarah Inayah
Mathematical problem solving and multiple representation ability is essential to develop. So it needs a study to facilitate the students to be active, interesting and challenging for students to think and therefore contributes to the students ability to represent, understand the material during learning process and solve mathematical problems. Quantum learning model puts students on comfortable and pleasant condition so that students can play an active role in the learning process and student expected to get the flexibility to bring their own representation and easy to solve the problem. The main objective of this study was to determine the improvement in the mathematical problem solving and multiple representation of students who obtain quantum learning model and students who received conventional learning, as well as to determine the relationship between the mathematical problem solving and multiple representations. This research is a quasi experimental with non equivalent control group design. The population of this study are all students of class VII with two classes of them as samples. The research data obtained through problem-solving ability and multiple mathematical representations test. The results showed that: (a). Quantum learning model can improve the mathematical problem solving and multiple representations ability, (b). there is a relationship between the mathematical problem solving and multiple representations ability.
数学问题解决和多重表示能力的培养是必不可少的。因此,它需要一种有利于学生积极、有趣和具有挑战性的学习,从而有助于学生在学习过程中表达、理解材料和解决数学问题的能力。量子学习模式使学生处于舒适愉快的状态,使学生能够在学习过程中发挥积极的作用,并期望学生获得灵活性,使自己能够轻松地表现和解决问题。本研究的主要目的是确定获得量子学习模型的学生和接受常规学习的学生在数学问题解决和多重表征方面的改进,以及确定数学问题解决和多重表征之间的关系。本研究为非等效对照组设计的准实验。本研究的总体为七班的所有学生,其中两班为样本。研究数据通过问题解决能力和多重数学表征测试获得。结果表明:(a)量子学习模型可以提高数学问题解决能力和多重表征能力;(b)数学问题解决能力和多重表征能力之间存在一定的关系。
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引用次数: 5
PROSES BERPIKIR SISWA YANG MENGALAMI MATH-ANXIETY DALAM MENYELESAIKAN MASALAH SISTEM PERSAMAAN LINIER DUA VARIABEL 学生的思维过程在解决两个变量的线性方程系统问题时遇到了复杂的困难
Pub Date : 2018-04-02 DOI: 10.22236/KALAMATIKA.VOL3NO1.2018PP27-38
M. Irfan
Algebra is one of the most difficult material for students to understand, especially those experiencing math-anxiety. This study aimed to describe: (1) the thinking process of students who have high math-anxiety in solving mathematical problems according to Polya steps, (2) the thinking process of students who have low math-anxiety in solving mathematical problems according to Polya steps. Type this research is qualitative research with case study method. Sampling is done by purposive sampling technique. Subjects used in this study as much as two research subjects, namely: students who have high anxiety math, students who have low anxiety math. The instruments used to collect data are classification of anxiety level of mathematics learning, mathematics problem sheet, and interview guidance. The data validation test used is the triangulation test of time. In this study, researchers used a type of reflective and creative thinking to analyze the thinking process of the subject. The results show: (1) when understanding the problem, planning problem solving, running problem-solving plan, and re-examining answers, students experiencing high math-anxiety using reflective thinking process, (2) when understanding the problem and re-examining answers, students who experience low anxiety math using reflective thinking processes, while at the time of planning problem solving and running problem-solving plans, the subject engages in a process of reflective and creative thinking.
代数是学生最难理解的材料之一,尤其是那些经历数学焦虑的学生。本研究旨在描述:(1)数学焦虑程度高的学生按照波利亚步骤解决数学问题的思维过程。本研究类型为案例研究法的定性研究。采样是通过有目的的采样技术进行的。本研究采用的研究对象多达两个,即:数学焦虑程度高的学生,数学焦虑程度低的学生。用于收集数据的工具是数学学习焦虑程度的分类、数学问题表和面试指导。所使用的数据验证测试是时间的三角测量测试。在本研究中,研究人员使用一种反思性和创造性思维来分析受试者的思维过程。结果表明:(1)在理解问题、计划问题解决、运行问题解决计划和重新检查答案时,经历高数学焦虑的学生使用反思性思维过程,而在计划问题解决和运行问题解决计划的时候,主体参与了一个反思和创造性思维的过程。
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引用次数: 5
RANCANGAN MASALAH MATEMATIKA UNTUK MENGIDENTIFIKASI BERPIKIR GEOMETRIS SISWA 设计数学问题来识别学生的几何思维
Pub Date : 2018-04-02 DOI: 10.22236/KALAMATIKA.VOL3NO1.2018PP39-50
Noor Fajriah
Geometric thinking has a very important role in developing students' mathematical thinking. To find out geometric thinking students needed a problem that could identify geometric thinking. The problem must be in accordance with the objectives to be measured, to meet validity and reliability as a valuation tool. The purpose of this research was to obtain the design of geometry problems to be able to identify valid and reliable geometric thinking. The descriptive method was used in this research. There are 6 people as validators and 3 junior high school students for testing. The results obtained prototype problems designed to pay attention to aspects of the material in accordance with the level of junior high school students and bring visualization, construction and reasoning activities. The construction aspect in which the problem does not lead to multiple interpretations. is clear and uses a question word/ command whose completion is a description. Aspects of language where the language is communicative easily understood and in accordance with the rules of the Indonesian language is good and true and meets the criteria of legibility.
几何思维对培养学生的数学思维具有十分重要的作用。为了发现几何思维,学生需要一个能够识别几何思维的问题。必须按照问题目标进行测量,以满足效度和信度作为评价工具。本研究的目的是获得几何问题的设计,以便能够识别有效和可靠的几何思维。本研究采用描述性方法。有6人作为验证者,3名初中生进行测试。结果获得了原型题设计的注意方面,材料符合初中生的水平,并带来可视化、建构和推理活动。在构造方面,问题不会导致多重解释。清晰,并使用疑问词/命令,其完成是一个描述。语言的方面,语言是沟通容易理解,并按照印尼语言的规则是好的和真实的,符合标准的易读性。
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引用次数: 1
BAHAN AJAR PADA MATERI GARIS SINGGUNG LINGKARAN DENGAN PENDEKATAN SAINTIFIK UNTUK SISWA SMP 教学材料与初级学生的科学方法
Pub Date : 2018-04-02 DOI: 10.22236/KALAMATIKA.VOL3NO1.2018PP63-80
Sowanto Sowanto
This research is motivated by the lack of teaching materials on tangent topic to the circle that is able to facilitate junior high school students through a scientific approach. This research produced teaching materials so-called students' worksheets that can facilitate students. The research used the design research which includes: (1) preliminary design, in this phase the researchers conducted a theory study which followed up by making a Hypothetical Learning Trajectory (HLT); (2) experiment, in this phase, the existing design is tested to the students to investigate the learning process that related to the process of developing students' thinking in situations and learning atmosphere that formed from HLT; (3) retrospective analysis, in this phase, the researchers compare the HLT with the actual student learning process. The results show that the teaching materials that have been developed by considering obstacle learning and preliminary studies are able to facilitate students as a source of support for learning activities.
本研究的动机是缺乏能够通过科学方法为初中生提供方便的切题教材。这项研究制作了教学材料,即所谓的学生工作表,可以为学生提供便利。本研究采用的设计研究包括:(1)初步设计,在此阶段,研究人员进行了理论研究,随后制定了假设学习轨迹(HLT);(2) 实验,在这一阶段,对现有的设计进行了测试,以考察HLT形成的情境和学习氛围中与培养学生思维过程相关的学习过程;(3) 回顾性分析,在这一阶段,研究人员将HLT与学生的实际学习过程进行了比较。结果表明,通过考虑障碍学习和初步研究而开发的教材能够促进学生作为学习活动的支持来源。
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引用次数: 1
PENGARUH PENDEKATAN VISUAL THINKING TERHADAP KEMAMPUAN KONEKSI MATEMATIS SISWA 警告视觉思维发生
Pub Date : 2018-04-02 DOI: 10.22236/KALAMATIKA.VOL3NO1.2018PP17-26
Erdawati Nurdin, Hayatun Nufus, H. Hasanuddin
This study aims to see the effect of visual thinking approach on improving students' mathematical connection ability. This is a quasi-experimental research with nonequivalent control group design. The sample is students on class VIII in Madrasah Tsanawiyah which is chosen by using purposive sampling technique. The research instruments used are a test of mathematical connection ability and an observation sheet. The results of the observations showed an increase in the activity of students and teachers in each meeting in the classroom that obtained learning by using visual thinking approach. The data of increased connection ability is not normally distributed, so the data analysis is done using U non-parametric test of Mann Whitney. From the data analysis, it can be concluded that there is no significant effect of learning by using visual thinking approach to students’ mathematical connection ability improvement.
本研究旨在探讨视觉思维方法对提高学生数学联系能力的作用。这是一项非等效对照组设计的准实验研究。样本为萨纳维耶Madrasah Tsanawiyah八年级学生,采用有目的抽样技术进行选择。使用的研究工具是数学连接能力测试和观察表。观察结果显示,通过视觉思维方法获得学习的学生和教师在每次课堂会议上的活动都有所增加。连接能力增加的数据不是正态分布,因此数据分析采用Mann - Whitney的U非参数检验。从数据分析可以看出,视觉思维学习对学生数学联系能力的提高没有显著的影响。
{"title":"PENGARUH PENDEKATAN VISUAL THINKING TERHADAP KEMAMPUAN KONEKSI MATEMATIS SISWA","authors":"Erdawati Nurdin, Hayatun Nufus, H. Hasanuddin","doi":"10.22236/KALAMATIKA.VOL3NO1.2018PP17-26","DOIUrl":"https://doi.org/10.22236/KALAMATIKA.VOL3NO1.2018PP17-26","url":null,"abstract":"This study aims to see the effect of visual thinking approach on improving students' mathematical connection ability. This is a quasi-experimental research with nonequivalent control group design. The sample is students on class VIII in Madrasah Tsanawiyah which is chosen by using purposive sampling technique. The research instruments used are a test of mathematical connection ability and an observation sheet. The results of the observations showed an increase in the activity of students and teachers in each meeting in the classroom that obtained learning by using visual thinking approach. The data of increased connection ability is not normally distributed, so the data analysis is done using U non-parametric test of Mann Whitney. From the data analysis, it can be concluded that there is no significant effect of learning by using visual thinking approach to students’ mathematical connection ability improvement.","PeriodicalId":31356,"journal":{"name":"Kalamatika","volume":"3 1","pages":"17-26"},"PeriodicalIF":0.0,"publicationDate":"2018-04-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47813992","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
MENINGKATKAN KONEKSI MATEMATIS SISWA SMP MELALUI PENDEKATAN OPEN-ENDED DENGAN SETTING KOOPERATIF TIPE NHT 通过开放加入NHT类型的合作方法增加中学生的数学连接
Pub Date : 2018-04-02 DOI: 10.22236/KALAMATIKA.VOL3NO1.2018PP81-92
A. Muchlis, Elis Siti Komara, Wiwi Kartiwi, N. Nurhayati, Heris Hendriana, Wahyu Hidayat
The problem raised in this research is that students' ability in making mathematical connections is still relatively low. This is because some of the theories in the learning of teachers still enjoy this way of learning, meaning that the students are only recipient of information without inspiration to active. Therefore, the authors are interested to conduct research by applying an NHT cooperative model setting to improve mathematical connection ability of junior high school students. This study aims to determine whether the knowledge of mathematical connections of junior high school students using learning methodology is better than junior high school students using ordinary learning. This research was conducted in SMP Krida Utama Padalarang Class VII, with research method the research used is quasi-experimental method. The sample of this research is taken two classes namely class VII A as experiment class and class VII B as control class. The research instrument is a set of mathematical connection test questions consisting of 5 test questions, and then tested by using a statistical test of differential. Based on the results of research and data processing, the authors conclude that the ability of mathematical connections of junior high school students whose learning using open-ended approach with learning model setting NHT type cooperative learning is better than the mathematical connection ability of junior high school students whose learning using ordinary learning.
这项研究提出的问题是,学生建立数学联系的能力仍然相对较低。这是因为教师在学习中的一些理论仍然喜欢这种学习方式,这意味着学生只是信息的接受者,而没有积极的灵感。因此,作者有兴趣通过应用NHT合作模型设置来提高初中生的数学联系能力。本研究旨在确定使用学习方法论的初中生的数学联系知识是否优于使用普通学习的初中生。本研究在七级SMP Krida Utama Padalarang进行,研究方法为准实验方法。本研究的样本分为两个班,即实验班ⅦA班和对照班ⅦB班。该研究工具是一套由5道试题组成的数学连接试题,然后通过微分统计测试进行测试。基于研究和数据处理的结果,作者得出结论:采用开放式学习方式和学习模式设置的NHT型合作学习的初中生的数学连接能力优于采用普通学习方式的初中生。
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引用次数: 15
PERBANDINGAN HASIL BELAJAR STATISTIK DASAR DENGAN METODE PRAKTIKUM 实用方法的统计学习控制
Pub Date : 2017-11-30 DOI: 10.22236/KALAMATIKA.vol2no2.2017pp105-116
Yn Yeti Nurizzati
The Tadris English Department 2015/2016 consists of 4 classes, but only 2 classes (C and D) using the practicum method in Basic Statistics learning. Class C and D Department of Tadris English has different characteristics. Class C is more preferable to class D in learning. This is evident from the level of attendance and liveliness in the classroom. So the alleged that the results of learning will cause a difference. Therefore, this study was conducted to compare differences in learning outcomes Basic Statistics before and after using the practice method in the Department of Tadris English class C and D; as well as comparing the differences in learning outcomes Basic Statistics using the class practice method C and D. Both classes are experimental classes that are independent with the treatment given that the basic statistical learning with the practice method so that it includes the type of quantitative comparational research. Homogeneity test results of two homogeneous class with p_v>α. The result of t test of the correlated sample that derived from the comparison of UTS value with UAS of both classes has increased significantly with the value of p_v<α. The free sample t test results obtained that the learning outcomes of the two classes are significantly different for both UTS and UAS values p_v<α. Class C has an average value of UTS greater than class D; but on the contrary the average grade of UAS class D is bigger than class C. It can be said that class C is more master of manual calculation theory, while class D is more master of SPSS practice
2015/2016学年塔德里斯英语系共有4个班,但只有2个班(C班和D班)采用基础统计学的实习方式学习。塔得里斯英语C班和D班各具特色。在学习方面,C班比D班更可取。从出勤率和课堂上的活跃程度可以看出这一点。所以声称学习的结果会造成差异。因此,本研究对塔德里斯英语C、D班采用实践方法前后学习成果的差异进行比较;以及比较基础统计学使用课堂实践方法C和d的学习结果差异。这两个班都是独立的实验班,并给予基础统计学使用实践方法学习的处理,因此它包含了定量比较研究的类型。具有p_v>α的两个齐次类的齐性检验结果。UTS值与两类的UAS比较得出的相关样本的t检验结果随着p_v<α的值显著增加。自由样本t检验结果显示,当UTS和UAS值p_v<α时,两班学生的学习效果均有显著差异。C类的平均值大于D类;而相反,UAS D班的平均成绩要大于C班。可以说,C班更精通手工计算理论,而D班更精通SPSS实践
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引用次数: 0
PERBANDINGAN PEMECAHAN MASALAH MATEMATIS SISWA ANTARA DISCOVERY LEARNING DAN PROBLEM BASED LEARNING 另一姐妹在隐性学习和学习问题中的数学发展处理
Pub Date : 2017-11-30 DOI: 10.22236/KALAMATIKA.VOL2NO2.2017PP131-146
Yunita Herdiana
This research is aimed to investigate the students’ problem-solving competency after learn by using discovery learning model and students’ problem-solving ability after learn by using problem-based learning model. Therefore, this research is aimed to investigate differences problem-solving ability of mathematics between students who get discovery learning model and problem-based learning model. The population used in this research was a student in grade VII in one of junior high school in West Bandung Regency. The sample was student class VII B for the first experiment class and VII C for the second experiment class with 35 students in every class. The method in this research was a quasi experiment by using two group post-test only design. The instrument in this research is post-test about problem-solving of mathematics. Based on the research, it can be concluded that there is a difference between the mathematical problem-solving competency of students who get discovery learning model and problem-based learning model. Nevertheless, the qualification of problem-solving competency between of students who gets discovery learning model and problem-based learning model, are including the medium category
本研究旨在调查学生在使用发现学习模式学习后的问题解决能力,以及学生在使用基于问题的学习模型学习后的解决问题能力。因此,本研究旨在调查采用发现学习模式和基于问题学习模式的学生数学问题解决能力的差异。本研究中使用的人群是西万隆县一所初中七年级的学生。样本为第一个实验班的学生VII B班和第二个实验班学生VII C班,每个班有35名学生。本研究的方法是一个准实验,采用两组仅测试后的设计。本研究的工具是数学问题解决后测试。研究表明,采用发现学习模式和基于问题的学习模式的学生数学问题解决能力存在差异。然而,采用发现型学习模式和基于问题的学习模式的学生解决问题能力的资格包括中等类别
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引用次数: 2
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Kalamatika
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