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Analisis Kemampuan Berpikir Kritis Siswa Berdasarkan Efikasi Diri Matematis Melalui Penerapan Model Pembelajaran Snowball-throwing 通过采用斯诺-throwing学习模式,通过数学自我正确性分析学生的批判性思维能力
Pub Date : 2023-06-29 DOI: 10.21274/jtm.2023.6.1.145-158
I. Setiadi
Mathematical self-efficacy and the snowball-throwing learning model play a role in student learning success. Mathematical self-efficacy is a student's perception of mathematical abilities. The study aimed to analyze students' critical thinking skills based on mathematical self-efficacy through the application of the snowball-throwing learning model to material composition functions. The research method uses a qualitative with the type of case study research. The number of respondents consisted of three students representing high, medium, and low mathematical self-efficacy categories. The research instrument used tests of critical thinking skills, questionnaires, and interviews. The data analysis technique uses three stages, namely data reduction, data presentation, and conclusion the data. The results of the study were obtained as follows: 1) Students who have high mathematical self-efficacy have high critical thinking skills with all indicators of critical thinking skills fulfilled, 2) Students who have moderate mathematical self-efficacy have critical thinking skills with only one indicator fulfilled, and 3) Students who have low mathematical self-efficacy do not have all indicators of critical thinking skills. Learning the composition function using the snowball-throwing learning model is appropriate when used for students who have a high level of mathematical self-efficacy to train students' critical thinking skills.
数学自我效能感和掷雪球学习模式对学生学习成功有影响。数学自我效能感是学生对数学能力的感知。本研究旨在通过将扔雪球学习模型应用于材料构成函数,分析学生基于数学自我效能感的批判性思维能力。本研究方法采用定性与案例研究的类型。受访者的数量包括三个学生代表高,中,低数学自我效能类别。研究工具使用了批判性思维技能测试、问卷调查和访谈。数据分析技术分为三个阶段,即数据还原、数据呈现和数据总结。研究结果表明:1)数学自我效能感高的学生具有较高的批判性思维技能,批判性思维技能的所有指标都得到了满足;2)数学自我效能感中等的学生具有较高的批判性思维技能,只有一个指标得到了满足;3)数学自我效能感低的学生没有所有的批判性思维技能指标得到满足。对于数学自我效能感较高的学生,采用扔雪球学习模式来学习构成函数,适合培养学生的批判性思维能力。
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引用次数: 0
Analisis Peningkatan Level Berpikir Geometri Mahasiswa Berdasarkan Teori Van Hiele dengan Pendekatan Konstruktivisme 基于范希勒理论的构造方法的学生几何思考的层次分析
Pub Date : 2023-06-28 DOI: 10.21274/jtm.2023.6.1.101-114
Aini Renanda, A. Qohar, T. D. Chandra
The provision of problem-solving, analytical, systematic, critical, and creative skills is important to improve human resources that can be obtained from learning mathematics. Geometry is a field of mathematics that aims to develop logical thinking skills, develop spatial intuition, and interpret mathematical arguments. Several studies show that students' understanding of geometry material is still at a low level, so it is necessary to develop or improve the geometry learning process. The purpose of this study is to describe the increase in students' geometric thinking levels based on Van Hiele's theory with a constructivism approach. The method used in this research is descriptive qualitative with data analysis techniques using the Miles & Huberman model in the form of data reduction, data presentation, and drawing conclusions. The results showed that before the learning process using a constructivist approach, students' geometric thinking skills were at levels 1 to 3 or the analysis stage to a formal deduction with the average being at the informal deduction and pre-formal deduction stages. Meanwhile, after the learning process using a constructivist approach was carried out, geometric thinking skills increased at levels 2 to 4 or the informal deduction stage to the rigor with an average increase in the formal deduction stage.
提供解决问题的、分析的、系统的、批判性的和创造性的技能对于提高从学习数学中获得的人力资源非常重要。几何是一个数学领域,旨在发展逻辑思维技能,发展空间直觉,并解释数学论点。几项研究表明,学生对几何材料的理解仍处于较低水平,因此有必要发展或改进几何学习过程。本研究的目的是用建构主义方法描述学生在Van Hiele理论的基础上几何思维水平的提高。本研究中使用的方法是描述性定性的,使用Miles&Huberman模型的数据分析技术,以数据简化、数据呈现和得出结论的形式。结果表明,在采用建构主义方法学习之前,学生的几何思维能力处于1至3级或正式推导的分析阶段,平均处于非正式推导和正式推导前阶段。同时,在使用建构主义方法进行学习过程后,几何思维技能在2至4级或非正式推理阶段提高到严格程度,在正式推理阶段平均提高。
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引用次数: 0
Pengembangan e-LKM Terintegrasi Literasi Numerasi untuk Meningkatkan Berpikir Kritis pada Materi Analisis Vektor 以提高对向量分析材料的批判性思维
Pub Date : 2023-06-28 DOI: 10.21274/jtm.2023.6.1.115-128
Nur Robiah Nofikusumawati Peni, S. Sumargiyani, P. W. Prasetyo
Students' low reading interest greatly affects learning outcomes in Vector Analysis class. This is due to the rare interaction between students and learning resources in class. To increase student activity in reading and understanding the concept of vector analysis material, an e-LKM product is needed. This study aims to develop Student Worksheets (LKM) in electronic form that is integrated with numeracy literacy which can be used for learning vector analysis courses by knowing the validity and practicality of procedures so that the use of these e-LKM can improve students' critical thinking. This development research uses the ADDIE model (Analysis, Design, Development, Implementation, and Evaluation). Furthermore, the evaluation stage is carried out at each stage to improve the e-LKM that is made. The subjects were 21 students in semester VI of class C Mathematics Education FKIP Universitas Ahmad Dahlan. The research data was obtained by collecting questionnaires from material experts, media, and students' responses to the practicality of the media being developed. From the results of the questionnaires distributed, the average questionnaire from the two material experts and media experts showed excellent criteria with a mean score of 4.611 and 4.47 respectively. The results of student responses to product use show excellent criteria with a mean score of 4.27. Based on these results, the e-LKM that is used is proven to be valid and practical.
在向量分析课上,学生的低阅读兴趣极大地影响了学习效果。这是由于课堂上学生和学习资源之间很少有互动。为了增加学生阅读和理解矢量分析材料概念的活动,需要一个e-LKM产品。本研究旨在开发与算术素养相结合的电子形式的学生工作表(LKM),通过了解程序的有效性和实用性,可用于学习向量分析课程,从而使用这些电子LKM可以提高学生的批判性思维。本开发研究采用ADDIE模型(分析、设计、开发、实施和评估)。此外,在每个阶段进行评估阶段,以改进所做的e-LKM。受试者是艾哈迈德·达赫兰大学数学教育学院C班第六学期的21名学生。研究数据是通过收集材料专家、媒体和学生对正在开发的媒体实用性的反应问卷获得的。从发放的问卷结果来看,两位材料专家和媒体专家的平均问卷显示出良好的标准,平均得分分别为4.611和4.47。学生对产品使用的反应结果显示出优秀的标准,平均得分为4.27。基于这些结果,所使用的e-LKM被证明是有效和实用的。
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引用次数: 1
Pengembangan, Validasi, dan Evaluasi Skala Minat Matematika untuk Remaja 青少年薄荷糖量表的研制、验证和评价
Pub Date : 2023-06-28 DOI: 10.21274/jtm.2023.6.1.129-144
Amanda La Hadi, Tandri Patih, Halistin Halistin
This study aims to develop and validate a multidimensional instrument that will measure the interest in mathematics among Indonesian adolescents (aged 12-21 years). The developed instrument must meet psychometric standards in terms of content, construct, and concurrent validity. This instrument is called the “Skala Minat Matematika Remaja” (SMMR). The existence of SMMR is important because: (1) it is based on a validated structure and content of interest in the literature, (2) it accommodates the measurement of interest during adolescence, and (3) it specifically measures mathematics interest, which will be useful in the mathematics learning process. Three sample groups were taken from secondary school to university level to complete the SMMR instrument. A quantitative approach was used to test three types of validity. Construct validity was tested using exploratory and confirmatory factor analyses. Exploratory factor analysis (EFA) resulted in a 20-item SMMR with four dimensions (engagement, knowledge, emotions, and value) that explained 58% of the total variance. This indicates that the selected items can effectively explain the four dimensions of interest. Furthermore, confirmatory factor analysis (CFA) on the third sample group confirmed that SMMR is suitable for application among different groups of adolescents. SMMR scores showed a significant negative relationship between interest and age. This relationship indicates that SMMR has good concurrent validity.
本研究旨在开发和验证一种多维工具,用于衡量印尼青少年(12-21岁)对数学的兴趣。开发的工具必须在内容、结构和并发有效性方面符合心理测量标准。这种仪器被称为“Skala Minat Matematika Remaja”(SMMR)。SMMR的存在很重要,因为:(1)它基于文献中经过验证的兴趣结构和内容,(2)它适应了青春期的兴趣测量,(3)它专门测量数学兴趣,这将在数学学习过程中有用。从中学到大学三个样本组完成SMMR仪器。使用定量方法来测试三种类型的有效性。建构有效性采用探索性和验证性因素分析进行检验。探索性因素分析(EFA)得出了一个20项SMMR,包括四个维度(参与度、知识、情绪和价值),解释了58%的总方差。这表明所选项目可以有效地解释感兴趣的四个维度。此外,对第三个样本组的验证性因素分析(CFA)证实了SMMR适合在不同的青少年群体中应用。SMMR评分显示兴趣与年龄呈显著负相关。这种关系表明SMMR具有良好的并发有效性。
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引用次数: 0
Eksplorasi Berpikir Aljabar Siswa Kelas 5 Dalam Menyelesaikan Soal Pemodelan 爆炸思考5班学生Aljabar解决建模问题
Pub Date : 2023-06-28 DOI: 10.21274/jtm.2023.6.1.85-100
Sinta Devi Kusuma Ardi, Masduki Masduki
Algebraic thinking is important for developing students' mathematical generalization abilities, and identifying patterns, shapes, and symbols. This study uses a qualitative descriptive approach that aims to describe the profile of students' algebraic thinking in solving modeling problems. The subjects of this study were 158 fifth-grade students in two private schools in Surakarta, Central Java. The data collection instrument used was six test questions related to the modeling component adopted from Ralston. Prior to use, the instrument was validated by 3 elementary school mathematics learning experts and tested on 10 students who were not the subject of the study. Based on the test results, there were 12 students who scored in the high category. This study focuses on analyzing the algebraic thinking profile of students with high categories. The results showed that high-category subjects were able to demonstrate understanding related to modeling indicators in algebraic thinking, namely understanding the meaning of the equal sign (=) as an equivalence relationship, using variables to solve problems in the form of equations, and understanding the relationships between arithmetic operations. However, a small number of subjects still experience calculation errors and understanding errors in algebraic operations. Hence, it can be concluded that subjects with high categories are able to demonstrate algebraic thinking skills in the modeling component
代数思维对于培养学生的数学概括能力以及识别模式、形状和符号非常重要。本研究采用定性描述方法,旨在描述学生在解决建模问题时的代数思维概况。这项研究的对象是中爪哇苏拉卡塔两所私立学校的158名五年级学生。所使用的数据收集工具是与从Ralston采用的建模组件相关的六个测试问题。在使用之前,该仪器经过了3名小学数学学习专家的验证,并在10名非研究对象的学生身上进行了测试。根据测试结果,共有12名学生在高年级中得分。本研究着重分析高类别学生的代数思维特征。结果表明,高类别受试者能够在代数思维中表现出与建模指标相关的理解,即理解等号(=)作为等价关系的含义,使用变量以方程的形式解决问题,以及理解算术运算之间的关系。然而,仍有少数受试者在代数运算中出现计算错误和理解错误。因此,可以得出结论,具有高类别的科目能够在建模组件中展示代数思维技能
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引用次数: 0
Pengembangan E-LKPD untuk Meningkatkan Kemampuan Pemecahan Masalah Matematis Peserta Didik pada Materi Bangun Ruang Sisi Lengkung e - l的发展,以提高学习者在数学问题解决方面的能力
Pub Date : 2023-06-27 DOI: 10.21274/jtm.2023.6.1.49-66
Afriano Andri Sarman, I. K. Suastika, Tatik Retno Murniasih, Gambar 3. Materi, E-LKPD Gambar, Materi E-LKPD, Gambar, Soal Latihan, Gambar 6h. Soal Latihan, Gambar 6h. Soal Latihan
This research aims to develop a valid, practical, and effective electronic student worksheet based on Liveworksheets that can enhance students’ mathematical problem-solving abilities. The indicator for these abilities include problem identification, procedure design, problem-solving, and conclusion drawing. The research and development of these electronic student worksheets have the benefit of providing interactive teaching materials for mathematics learning. The ADDIE development model was used in this research and development process. The research instruments include expert validations sheets, teacher and student response questionnaires were employed to measure practicality. The effectiveness of the electronic student worksheet was evaluated based on activity scores, response scores, and student test scores. The validity percentage of this electronic student worksheet was 78.67% for materials and 90% for media. The practicality of the electronic student electronic student worksheet  was determined through the percentage of positive responses, with 96% from teacher and 84.33% from students. The average student activity score was 55.12, the response score was 45.06, and the student test score was 68.08. The electronic student worksheet developed in this study successfully enhanced students’ mathematical problem-solving abilities according to the predefined indicators.
本研究旨在以Liveworksheets为基础,开发一个有效、实用、有效的学生电子工作表,以提高学生的数学解决能力。这些能力的指标包括问题识别、程序设计、解决问题和得出结论。这些电子学生工作表的研究和开发具有为数学学习提供交互式教学材料的好处。本研究开发过程采用了ADDIE开发模型。研究工具包括专家验证表、师生回答问卷等。电子学生工作表的有效性是根据活动分数、反应分数和学生考试分数来评估的。本电子学生工作表材料效度为78.67%,媒体效度为90%。通过积极反馈的百分比来确定电子学生电子学生工作表的实用性,96%来自教师,84.33%来自学生。学生活动平均分为55.12分,反应平均分为45.06分,学生测验平均分为68.08分。本研究开发的电子学生工作表,成功地根据预先设定的指标,提高学生的数学解题能力。
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引用次数: 0
Analisis Kemampuan Pemecahan Masalah Word Problem PLSV PLSV单词问题解决能力分析
Pub Date : 2023-06-27 DOI: 10.21274/jtm.2023.6.1.67-84
S. Hidayah, L. Prayitno
Problem-solving ability is a primary skill students should acquire in learning mathematics and is often connected to Adversity Quotient (AQ). This qualitative descriptive study describes the ability to solve PLSV problems regarding AQ (climbers, campers, and quitters) in 7th-grade students of SMP Negeri 21 Surabaya. Data were collected through questionnaires, tests, and interviews using instruments such as the AQ questionnaire sheet, Word Problem Solving Test (TPWP), questionnaires, and interview guidelines. The problem-solving ability in this study refers to the four stages of Polya's problem-solving ability including understanding the problem, planning, implementing, and evaluating. The results of this study showed that (1) the climbers subject was able to accomplish all of Polya's stages, (2) the campers subject, was able to accomplish three stages of Polya's problem solving, which were able to understand the problem, plan the problem solving, and carry out the problem-solving. Whereas, (3) the quitters subject, was unable to complete Polya's problem-solving stages as it showed that the subject was poorly understanding the problem, planning to solve the problem, implementing the solution plan, and incapable of looking back at problems that had been solved.
问题解决能力是学生在学习数学时应该掌握的一项主要技能,通常与逆境商(AQ)有关。这项定性描述性研究描述了泗水21号国家公园七年级学生解决关于AQ(登山者、露营者和退出者)的PLSV问题的能力。数据是通过问卷、测试和访谈收集的,使用的工具包括AQ问卷表、单词问题解决测试(TPWP)、问卷和访谈指南。本研究中的问题解决能力是指波利亚解决问题能力的四个阶段,包括理解问题、计划、实施和评估。研究结果表明:(1)登山者被试能够完成Polya的所有阶段,(2)露营者被试能完成Polya问题解决的三个阶段,即理解问题、计划问题解决和实施问题解决。然而,(3)退出的受试者无法完成Polya的解决问题阶段,因为这表明受试者对问题的理解、解决问题的计划、解决方案的实施不力,并且无法回顾已经解决的问题。
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引用次数: 0
Project-Based Blended Learning (PjB2L) dalam Pembelajaran Statistika di Perguruan Tinggi 高等教育统计学中基于项目的混合学习
Pub Date : 2023-04-29 DOI: 10.21274/jtm.2023.6.1.15-32
Mahfudz Reza Fahlevi, Faradiba Jabnabillah
This research aims to analyze the results of the application of Blended Learning with reference to the Project-Based Learning (PjBL) model. Blended Learning and PjBL can be packaged as a learning model, namely Project-Based Blended Learning (PjB2L). The design of learning activities with the help of e-campus media is used to measure its impact on student learning outcomes in Statistics courses. The main focus of the research describes two main things, the description of the application of statistics lectures with the PjB2L model and the results of statistical tests on differences in learning outcomes obtained. Quasi-experimental research was designed to compare student learning outcomes in experimental classes (with the PjB2L model) and control classes (conventional/blended direct learning). 43 students were involved in this study which was divided into two classes, namely the control class which included 20 students, and the experimental class which involved 23 students. In addition, on data analysis technique, analysis of covariance (ANCOVA), was used to compare the results of the control group and the experimental group, with the covariance variable being the pre-test results (initial knowledge). The results showed significant differences. The difference shown in this study leads to the support of the experimental group's better learning achievement.
本研究旨在参考基于项目的学习(PjBL)模型来分析混合学习的应用结果。混合学习和PjBL可以打包为一个学习模型,即基于项目的混合学习(PjB2L)。借助电子校园媒体设计学习活动,用于衡量其对统计学课程学生学习成果的影响。研究的主要重点描述了两件主要事情,一是用PjB2L模型描述统计学讲座的应用,二是对所获得的学习结果差异的统计测试结果。准实验研究旨在比较实验班(使用PjB2L模型)和对照班(传统/混合直接学习)的学生学习结果。43名学生参与了这项研究,分为两个班,即20名学生的对照班和23名学生的实验班。此外,在数据分析技术上,使用协方差分析(ANCOVA)来比较对照组和实验组的结果,协方差变量是测试前的结果(初始知识)。结果显示有显著差异。本研究所显示的差异导致了实验组更好的学习成绩的支持。
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引用次数: 0
Profil Pemecahan Masalah Higher Order Thinking Skill Ditinjau dari Self-Eficacy Siswa 从学生自我效能感看高阶思维技能问题共享档案
Pub Date : 2023-04-29 DOI: 10.21274/jtm.2023.6.1.1-14
Putri Wulandari, Nurcholif Diah Sri Lestari, Inge Wiliandani Setya Putri, D. Kurniati, Saddam Hussen
The phenomenon of students not being used to solving higher order thinking questions often occurred in one of the Islamic Senior High School in Sidoarjo. Therefore, this research aims to describe the profile of students' problem-solving in overcoming HOTS questions based on the self-efficacy. The research subjects were three selected students of XI-IPA class who were categorized into low, moderate, or high self-efficacy based on self-efficacy questionnaires and had good communication skills. The data were collected through tests, triangulated by interviews and analyzed using Polya's problem-solving indicators (unerstanding the problem, devising a plan, carrying the plan, and looking back). The results show that: 1) Students with low self-efficacy able to solve an “analyze” problem eventhough without looking back and solve the “evaluate” problem through all of the stages. Eventhough, he need help to work on the “creative” problem; 2) Students with moderate self-efficacy able to solve an “analyze” problem through all stages. However, while working on evaluate and creative problem, he could only complete the stages of understanding the problem, devise an incomplete plan and never try to carry out the plan; 3) Students with high self-efficacy can solve the problem on analyze, evaluate, and create in a complete stage. Teachers must become accustomed to asking HOTS questions to students in order to increase student self-efficacy and problem-solving abilities.
Sidoarjo的一所伊斯兰高中经常出现学生不习惯解决高阶思维问题的现象。因此,本研究旨在描述学生在自我效能感的基础上解决HOTS问题的概况。通过测试收集数据,通过访谈进行三角测量,并使用Polya的问题解决指标(理解问题、制定计划、执行计划和回顾)进行分析。结果表明:1)低自我效能感学生能够在不回头的情况下解决“分析”问题,并通过所有阶段解决“评价”问题。尽管如此,他还是需要帮助去解决“创造性”问题;2)具有中等自我效能感的学生能够在所有阶段解决一个“分析”问题。然而,在做评估性和创造性问题时,他只能完成理解问题、制定不完整的计划和从未尝试执行计划的阶段;3)自我效能感高的学生能够在分析、评价、创造的完整阶段解决问题。教师必须习惯于向学生提问HOTS问题,以提高学生的自我效能感和解决问题的能力。
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引用次数: 0
Pengembangan Buku Ajar Pengantar Dasar Matematika Berbasis Kitab Taqrib Dalam Meningkatkan Kemampuan Literasi Mahasiswa 以《taq肋骨书》为基础的数学教学书的发展,以提高学生的识字能力
Pub Date : 2023-04-29 DOI: 10.21274/jtm.2023.6.1.33-48
Mohammad Kholil, Mohammad Mukhlis
The purpose of this study is to develop a textbook for introductory mathematics based on the taqrib book to improve student literacy skills and find out the feasibility, practicality, and effectiveness of textbook for introductory mathematics based on the taqrib that has been developed. The type of research used is Research and Development (R&D) which is designed using the Borg and Gall development model. The subjects of the development product trial in this study were students of the class 2022 semester 1 of the MTK1, MTK2, and MTK3 classes of mathematics education study program at FTIK UIN KHAS Jember. This research produces a textbook of introduction to basic mathematics based on the taqrib book as students' reference book in lectures on basic introduction to mathematics in semester 1. The resulting textbook is validated by three validators with validation results without any revisions, so the textbooks developed are feasible for use. Furthermore, the resulting textbooks were tested on 1st-semester students of the mathematics education study program at FTIK UIN KHAS Jember. The results of this product trial were 84.49% with a practical category. The mathematical literacy ability of students in semester 1 of the Mathematics Education study program has increased from a total average score of 77.32 to 86.27. Based on these results, it can be said that the use of textbooks for introductory mathematics based on taqrib books is very effective in improving students' mathematical literacy skills.
本研究的目的是开发一本基于taqrib的数学入门教材,以提高学生的读写能力,并找出已经开发的基于taqrib的数学入门教材的可行性、实用性和有效性。使用的研究类型是研究与开发(R&D),它是使用博格和加尔开发模型设计的。本研究开发产品试验的对象为FTIK ukin KHAS数学教育研究项目MTK1、MTK2、MTK3班2022学期1班的学生。本研究在第一学期数学基础导论课的基础上,制作了一本基础数学导论教材,作为学生的参考书。生成的教科书由三个验证者验证,验证结果没有任何修改,因此开发的教科书是可行的。此外,所编制的教材已于9月在香港科大数学教育研修班第一学期的学生中进行测试。该产品试验结果为84.49%,具有实用性范畴。数学教育学习项目第一学期学生的数学素养能力从总平均分77.32分提高到86.27分。基于这些结果,可以说,使用以塔里卜书为基础的数学入门教材对提高学生的数学素养非常有效。
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引用次数: 0
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Jurnal Tadris Matematika
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