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Analisis Pemetaan Isomorfisma Untuk Menentukan Dimensi Ruang Vektor Ł 确定向量空间 Ł 维度的同构映射分析
Pub Date : 2023-10-21 DOI: 10.47662/farabi.v6i2.618
Siti Mico Handaru, I Made Arnawa, Helma Helma
Dalam matematika, dimensi ruang vektor V dan W adalah jumlah vektor basis V dan W. Himpunan semua transformasi linier dari V ke W dengan operasi penjumlahan dan operasi perkalian skalar menciptakan ruang vektor. Ruang vektor dari transformasi linier biasanya dilambangkan dengan Ł (V,W). Ł (V,W) ={T ∶V→W |Transformasi linier T}. Tujuan dari penelitian ini adalah untuk menentukan dimensi vektor ruang Ł (V,W) melalui pemetaan isomorfisme. Peneliti melakukan studi pustaka untuk menentukan dimensi vektor ruang Ł (V,W). Penelitian menunjukkan bahwa ada pemetaan isomorfisme dari Ł (V,W) ke M_mxn Dapat disimpulkan bahwa Ł (V,W) = {T: V →W|Transformasi linier T} dengan vektor ruang V yang memiliki n dimention dan vektor spce W yang memiliki m dimention adalah vektor ruang dimensi terbatas. Dim (Ł (V,W)) dapat ditentukan dengan menunjukkan matriks standar M_mxn merupakan basis, sehingga dim(M_mxn) = mn. Jika Ł (V,W) ≅ M_mxn maka Dim (Ł (V,W))= dim (M_mxn)Kata kunci: Pemetaan isomorfisme, Dimensi, Vektor ruang, Transformasi linier.
在数学中,空间维度V和W是V和W的基础向量的数量,通过加法和乘标量操作创建了向量空间。向量空间的线性变换通常象征Ł(V, W)。Ł(V, W) = {T∶V→W | T是线性的转变。这项研究的目的是确定Ł(V, W)通过空间向量维度isomorfisme图谱。文献研究人员做决定Ł空间向量维度(V, W)。研究表明,有从Ł(V, W) isomorfisme映射到M_mxn可以推断Ł(V, W) = {T: V→W |线性变换的向量空间V T的n dimention和spce向量W的m dimention是向量空间维度有限。暗淡(Ł(V, W)可以用矩阵表示指定M_mxn标准是,暗淡数据库(M_mxn) = mn。如果Ł(V, W)≅M_mxn那么暗淡(Ł(V, W) =暗淡(M_mxn)关键词:isomorfisme测绘,维度向量空间,线性变换。
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引用次数: 0
Perbandingan Metode Exponential Smoothing Event Based dengan Metode Winter Exponential Smoothing pada Peramalan Harga Cabai Merah di Kota Medan 基于事件的指数平滑法与冬季指数平滑法在棉兰市红辣椒价格预测方面的比较
Pub Date : 2023-09-28 DOI: 10.47662/farabi.v6i2.451
Bella Puspita Sari, Rosman Siregar
Dalam upaya untuk membuat keputusan yang lebih baik, peramalan adalah teknik yang digunakan untuk mengukur ketidakpastian masa depan. Musim atau kejadian tertentu dapat berdampak pada harga cabai merah. Metode Exponential Smoothing Event Based dan metode Winter Exponential Smoothing digunakan untuk mengidentifikasi special event yang berdampak pada prediksi harga cabai merah. Strategi yang optimal untuk digunakan adalah yang menghasilkan angka Mean Absolute Percentage Error (MAPE) terendah. Data harga cabai merah Januari 2018 sampai Desember 2021 digunakan dalam penelitian ini. Pendekatan Winter exponential smoothing, dengan nilai =0,9, =0,1, =0,9 dan MAPE 3,1%, adalah yang terbaik, menurut perkiraan yang dihitung dengan bantuan Ms. Excel.
为了做出更好的决定,占卜是一种衡量未来不确定性的技术。某些季节或事件可能会对红辣椒的价格产生影响。基于冬季的平滑事件和方法平滑用来识别影响红辣椒价格预测的特别事件。最佳策略是产生最低水平的“完美”数字。2018年1月至2021年12月的红辣椒价格数据被用于这项研究。根据Excel女士的帮助计算,冬季出口平滑的方法为= 0.9、= 0.1、= 0.9和MAPE 3.1%,是最好的。
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引用次数: 0
Hubungan self regulated learning dan hasil belajar matematika peserta didik kelas V SDN Ceger 02
Pub Date : 2023-09-02 DOI: 10.33387/dpi.v12i1.6535
Destia Khairunisa, Umri Umri, Debby Silvia Aqida
Self regulated learning dipilih oleh peneliti guna mengukur kemampuan belajar peserta didik walaupun sarana dan prasarana yang dimiliki peserta didik terbatas, sehingga dapat mengetahui hubungan self regulated learning dan hasil belajar matematika peserta didik kelas V SDN Ceger 02. Penelitian ini menggunakan metode kuantitatif dengan desain korelasi. Penelitian ini dilakukan di SDN Ceger 02 dengan sampel 29 peserta didik. Pengambilan data dilakukan dengan menggunakan instrument berupa angket self regulated learning dengan model skala likert dan tes hasil belajar matematika berbentuk pilihan ganda. Hasil penelitian ini menunjukkan bahwa terdapat hubungan yang positif dan signifikan antara self regulated learning dan hasil belajar matematika peserta didik SDN Ceger 02 dengan nilai r hitung atau pearson correlation sebesar 0,574 dengan nilai signifikansi 0,002 yang artinya semakin tinggi nilai self regulated learning peserta didik, maka semakin tinggi juga hasil belajar matematika peserta didik kelas V SDN Ceger 02, begitupun sebaliknya. Besarnya nilai koefisien determinasi pada penelitian ini adalah sebesar 32,95% dan sisanya sebesar 67,05 dipengaruhi oleh faktor lain. Kesimpulan dari penelitian ini yaitu terdapat hubungan yang positif dan signifikan antara self regulated learning dan hasil belajar matematika peserta didik kelas V SDN Ceger 02.
自我调节学习是由研究人员选择的,以评估学习者的学习能力,即使学习者的工具和基础设施是有限的,这样可以了解自我调节学习和学生V SDN Ceger 02的数学学习结果。本研究采用定量方法与相关设计。本研究于SDN Ceger 02进行,样本为29名学习者。数据提取是通过使用一种具有凝聚力尺度模型的自我调节学习工具和一种具有多项选择题的数学学习结果测试来完成的。这项研究结果表明,有赛尔夫regulated之间积极和显著的学习者学习数学学习结果和SDN Ceger 02与r数或皮尔逊相关的价值高达0.574 0,002意义的价值意味着学习者赛尔夫regulated学习价值越高,也就越高V SDN Ceger 02班数学学习者学习的结果,也是亦然。这项研究所确定的系数的强度为32.95%,其余为67.05受其他因素影响。这项研究的结论是,自我调节学习与V SDN Ceger 02班学生的数学学习结果之间存在着积极而重要的联系。
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引用次数: 0
Investigasi pemanfaatan geogebra untuk pembelajaran matematika di Indonesia: Sebuah analisis bibliometrik 地理符号对印尼数学学习利用的研究:参考书目分析
Pub Date : 2023-09-02 DOI: 10.33387/dpi.v12i1.6557
Della Maulidiya, Tria Utari, Nur Alliyah Irsal, M. Aziza
GeoGebra adalah perangkat lunak pembelajaran matematika yang membantu guru dalam meningkatkan kinerja siswa. Pemahaman tentang pemanfaatan GeoGebra diperlukan untuk memandu pengembangan dan penerapannya dalam pendidikan matematika di masa depan. Analisis bibliometrik digunakan untuk mengidentifikasi penelitian ilmiah sebelumnya. Penelitian ini secara kuantitatif meneliti 309 artikel ilmiah yang diterbitkan di jurnal-jurnal Indonesia antara tahun 2012 - 2022 dengan menggunakan text mining pada daftar kata kunci penulis. Analisis bibliometrik kemudian diolah dengan analisis konten kualitatif untuk menentukan sejauh mana penggunaan Geogebra dalam pendidikan matematika di Indonesia. Artikel-artikel diklasifikasikan sebagai 85,76% hasil dari penelitian dan 14,24% laporan kegiatan pengabdian masyarakat. Penggunaan Geogebra telah dievaluasi melalui penelitian kuantitatif, kualitatif, metode campuran, pengembangan, penelitian tindakan kelas, dan tinjauan literatur. Kompetensi yang banyak dieksplorasi dengan Geogebra adalah pemecahan masalah, berpikir kreatif, pemahaman konsep, dan komunikasi matematis. Penelitian ini menemukan pembelajaran penemuan, pembelajaran berbasis masalah, pembelajaran daring, matematika realistik, pembelajaran berbasis teknologi, dan pembelajaran mandiri dinilai sesuai untuk menerapkan Geogebra dalam pembelajaran matematika. Temuan penelitian ini menyimpulkan ada empat faktor yang harus dipertimbangkan ketika mengimplementasikan Geogebra dalam pengajaran matematika: 1) fitur-fitur Geogebra, 2) karakteristik materi matematika, 3) pendekatan atau model pembelajaran, dan 4) kompetensi (hasil belajar) baik kognitif dan non-kognitif yang diharapkan. Hasil analisis bibliometrik ini memberikan dasar untuk menentukan faktor-faktor penting untuk mengimplementasikan Geogebra dalam menciptakan lingkungan belajar yang diperkaya teknologi untuk mengajar dan belajar matematika. Kata kunci Geogebra, Pembelajaran matematika, Analisis bibliometrik
GeoGebra是一种数学学习软件,可以帮助教师提高学生的表现。了解地理地理的应用是必要的,以指导其在未来数学教育中的发展和应用。参考参考文献分析用来确定早期的科学研究。这项研究的定量研究了2012年至2022年在印度尼西亚期刊上发表的309篇科学文章,并对作者的关键字列表进行了文本调查。参考书目分析然后通过定性内容分析来确定地理位置在印尼数学教育中的应用程度。文章被分类为85.76%的研究结果和1424%的社区奉献活动报告。地理符号的使用是通过定量研究、定性、混合方法、开发、课堂行动研究和文献回顾进行评估的。Geogebra的广泛探索能力是解决问题、创造性思维、概念理解和数学交流。本研究发现以问题为基础的学习、在线学习、现实数学、以技术为基础的学习和自力更生的学习是适合在数学学习中应用Geogebra的。本研究发现得出结论,在执行数学教学时必须考虑四种因素:1)地理特点,2)数学材料的特征,3)学习方法或模型,和4)认知能力(学习结果)在预期的认知和非认知方面。这些参考文献分析的结果为确定实施地理地理的重要因素提供了基础,以创造丰富的教学技术和数学学习环境。地理符号,数学学习,参考书目分析
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引用次数: 0
Self-Efficacy dan sikap mahasiswa terhadap matematika 学生对数学的自我欣赏和态度
Pub Date : 2023-08-29 DOI: 10.33387/dpi.v12i1.6322
I. Ikrimah
Penelitian ini bertujuan untuk mengetahui pengaruh self-efficacy sebagai variabel bebas terhadap sikap pada matematika sebagai variabel terikat. Populasi penelitian ini adalah mahasiswa program studi Tadris Matematika IAIN Ternate, Indonesia dengan jumlah sampel 80 orang. Teknik sampling yang digunakan adalah random sampling. Instrumen penelitian yang digunakan adalah angket self-efficacy dan angket sikap pada matmatika. Data dianalis dengan analisis regresi linear sederhana untuk menguji hipotesis yang diajukan. Berdasarkan hasil analisis diperoleh persamaan regresi Y = 12,640 + 0,556 yang artinya setiap kenaikan satu satuan kemampuan self-efficacy akan meningkatkan sikap pada matematika sebesar 0,556. Dari pengujian hipotesis diperoleh probabilitas signifikansi (Sig.) sebesar 0,000 dengan 𝛼 = 0,05, sehingga sig. 𝛼 yang berakibat H0 ditolak. Jadi, terdapat pengaruh self-efficacy terhadap sikap pada matematika. Berdasarkan hasil Uji Model Regresi diketahui variabel self-efficacy memiliki hubungan yang signifikan dengan nilai koeefisien korelasi 0,66 terhadap sikap pada matematika. Nilai R Square sebesar 0,360 menunjukkan bahwa sikap pada matematika dipengaruhi oleh self-efficacy sebesar 36%.
本研究旨在探讨作为独立变量对数学态度的影响。本研究人口是印度尼西亚莱恩·特内特数学研究项目的学生,样本总数为80人。采用的抽样技术是随机抽样。所使用的研究工具是数学上的自我efficacy和态度上升。数据通过简单的线性回归分析来分析所提出的假设。根据分析得出的Y回归方程= 12640 + 0556,这意味着每增加一个单一的自我efficacy能力就会增加0.556的数学态度。获得测试的假设概率大小的重要性(Sig)。与ð万›¼= 0。05,Sig .𝛼导致豪拒绝的。因此,自我efficacy对数学态度产生了影响。基于已知的自efficacy变量回归模型的结果,其相关性价值为0.66相关。R平方的0.360表示,数学上的态度受到36%自我效能的影响。
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引用次数: 0
PEMODELAN M-ADAPTIVE GENERALIZED POISSON REGRESSION SPLINE PADA KASUS MDR-TB DI KALIMANTAN BARAT
Pub Date : 2023-08-28 DOI: 10.31316/jderivat.v10i2.4481
Firzakalpa Syafiq Irvandi, N. Debataraja, Yudhi Yudhi
Tuberculosis is a disease caused by the Mycobacterium tuberculosis. Multi-Drug Resistant Tuberculosis (MDR-TB) is the term used to describe Mycobacterium tuberculosis that is resistant to one or more Anti-TB drugs. This study aims to determine the factors that affect the number of patients recovering from MDR-TB, by modeling the number of MDR-TB cured patients using Multivariate Adaptive Generalized Poisson Regression Spline (MAGPRS) method. The predictor variables are the average age (X1), percentage of patients who fail category 2 treatment (X2), percentage of patients who fail category 1 treatment (X3), percentage of patients relapsed (X4), percentage of patients neglecting treatment (X5), and percentage history of close contact with other patients (X6). A combination of BF (Basis function), MI (Maximum interaction), and MO (Minimum observation), the BF value is two to four times of predictor variables, MI has value of 1,2, and 3, and MO has value of 0,1,2, and 3. From the result, the best model was obtained from the combination of BF=24, MI=3, and MO=1, with GCV values of 0,3504 and R2 of 88,3%, and there are 14 BF that affect the response variable . The most influential predictors variables in a row, are X6, X3, X5, and X2.
结核病是一种由结核分枝杆菌引起的疾病。耐多药结核病(MDR-TB)是用于描述对一种或多种抗结核药物具有耐药性的结核分枝杆菌的术语。本研究旨在通过多变量自适应广义泊松回归样条(MAGPRS)方法对耐多药结核病治愈人数进行建模,确定影响耐多药结核病康复人数的因素。预测变量为平均年龄(X1)、第2类治疗失败的患者百分比(X2)、第1类治疗失败的患者百分比(X3)、复发患者百分比(X4)、忽视治疗的患者百分比(X5)和与其他患者密切接触史的百分比(X6)。BF (Basis function)、MI (Maximum interaction)和MO (Minimum observation)的组合,BF值是预测变量的2 ~ 4倍,MI值为1、2、3,MO值为0、1、2、3。结果表明,以BF=24、MI=3、MO=1组合为最佳模型,GCV值为0,3504,R2为88.3%,有14个BF影响响应变量。一行中最具影响力的预测变量是X6、X3、X5和X2。
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引用次数: 0
Exploring The Student’s Problem-Solving Skills In Missouri Mathematic Project Learning From The Self-Regulated Learning In Statistics Material 从统计资料的自主学习看密苏里数学专题学生的问题解决能力
Pub Date : 2023-08-17 DOI: 10.31943/mathline.v8i3.485
Abdul Karim, L. Ambarwati, T. A. Aziz
Education is the heart of the world. Exploration activities demonstrate students' mathematical problem-solving skills. Research purposes; The first, Identification learning outcomes by describing high, medium, and low Self-Regulated Learning (SRL) problem-solving abilities through the Missouri Mathematics Project (MMP). The second is to find out if the MMP model has a role in achieving classical mastery in its ability to solve mathematical problems the average value is it purpose achieved ≥ 80 in 75% of all samples. Mixed method, concurrent embedded design. A total of 75 students of the 8th grade of the SMP Pesantren Attaqwa Bogor in 2022-2023. Data from Problem-solving skills tests, SRL questionnaires, and interviews. Include 6 subjects; two high SRL students, two medium SRL students, and two low SRL students are picked from the 75 SRL-enrolled students. The teacher of the topic to be questioned in this study choose which students to interview. The research results show that: First, Students with high SRL are able to master the 4 components of Polya problem solving; medium SRL students are still able to understand the problem, make a settlement plan, carry out the settlement plan but are less able to re-examine the work; low SRL students are able to understand the problem but are less able to make a settlement plan, carry out the completion plan and re-check the work. Secondly, the KPM of statistical material students in the MMP model exceeded the mastery learning average score of ≥ 80 in 75% of class VIII students.
教育是世界的心脏。探索活动展示了学生解决数学问题的能力。研究目的;第一,通过密苏里州数学计划(MMP),通过描述高、中、低自我调节学习(SRL)问题解决能力来识别学习成果。二是发现MMP模型在解决数学问题的能力上是否有达到经典精通的作用,75%的样本中达到经典精通的平均值≥80。混合方法,并行嵌入式设计。2022-2023学年,我校8年级学生75名。数据来自问题解决能力测试、SRL问卷调查和访谈。包括6个受试者;从75名SRL学生中选出2名高SRL学生、2名中SRL学生和2名低SRL学生。在本研究中被质疑的主题的教师选择采访哪些学生。研究结果表明:第一,高SRL的学生能够熟练掌握Polya问题解决的4个组成部分;中等水平的SRL学生仍然能够理解问题,制定解决方案,执行解决方案,但很少能够重新检查工作;低SRL学生能够理解问题,但制定解决方案、执行完成计划和重新检查工作的能力较差。其次,MMP模型中统计资料学生的KPM超过75%的八班学生的掌握学习平均分≥80分。
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引用次数: 0
The Analysis of The Problem-Solving Ability of The Ethnomatematcs Nuanced Plane Figure In The Sipirok Woven Fabrics Pattern To MTs Students 对MTs学生解题Sipirok机织图案中民族数学细微平面图形的能力分析
Pub Date : 2023-08-17 DOI: 10.31943/mathline.v8i3.495
Amelina Harahap, Rusi Ulfa Hasanah
The ability to solve problems is one of the goals of mathematics education. The aim of this study was to describe the problem-solving skill of students in class VII-1 of MTsL 3 Tapanuli Selatan on the material of the Plane figure with ethnomathematical nuances of Sipirok woven fabrics patterns. This qualitative descriptive research involved 25 students of class VII-1 MTsN 3 Tapanuli Selatan as the subjects. Data collection techniques included problem-solving skills tests and interview papers. The results showed that the student's problem-solving skills based on the steps Polya, flat geometric material with ethnomathematical nuances for class VII-I, belonged to the low category with an average percentage of 55.4% and the step indicator more dominant of the polya was an indicator understanding the problem with 80% capture.
解决问题的能力是数学教育的目标之一。摘要本研究的目的是为了描述MTsL - 3 Tapanuli Selatan班VII-1班学生对具有Sipirok机织图案民族数学差异的平面图形材料的解题能力。本定性描述性研究以25名mtsn3 Tapanuli Selatan VII-1班学生为研究对象。数据收集技术包括问题解决能力测试和面试纸。结果表明,学生基于step Polya(具有民族数学细微差别的平面几何材料)解决问题的能力平均百分比为55.4%,属于低类别,step indicator在Polya中占主导地位,是理解问题的指标,捕获率为80%。
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引用次数: 0
Analysis of Students' Mathematical Literacy Ability on Sequences and Series Material Through The Application of Problem Based Learning 运用问题学习法分析学生对数列材料的数学读写能力
Pub Date : 2023-08-14 DOI: 10.31943/mathline.v8i3.478
Kiki Amalia, I. Nuriadin
Mathematical literacy ability is the ability to understand and to use mathematics in various contexts to solve problems and explain how mathematics can be applied in everyday life. The aim of this study was to analyze students' mathematical literacy abilities in the material for sequences and series using problem based learning (PBL). The sample of this research was class XI SMA as many as 36 students and the subject was determined using purposive sampling. Tests, interviews, and documentation were used as data collection techniques. The research instrument was in the form of a mathematical literacy ability test on sequences and series material as well as interview guidelines that had been validated thereforehe instrument being suitable for use. The results of the study showed that the application of PBL to the matter of sequences and series was able to achieve students' mathematical literacy skills. Students can solve problems systematically and correctly even though there are operations such as multiplication or addition of numbers or variables an error occurs and students from both high and low categories do not write conclusions at the end of the problem. From the ability to choose a strategy students are able to identify the information contained in the question, but not yet fully students can decide on a strategy and apply facts, operations and structures in finding solutions related to story problems on sequences and series material.
数学素养能力是理解和在各种情况下使用数学来解决问题,并解释数学如何在日常生活中应用的能力。摘要本研究的目的是运用基于问题的学习(PBL)分析学生在数列教材中的数学读写能力。使用测试、访谈和文档作为数据收集技术。研究工具的形式是对序列和系列材料进行数学识字能力测试,以及经过验证的访谈准则,因此该工具适合使用。研究结果表明,将PBL应用于数列问题能够提高学生的数学素养。即使有数字或变量的乘法或加法等运算出现错误,高、低类别的学生也不会在问题结束时写下结论,学生也能系统正确地解决问题。通过选择策略的能力,学生能够识别问题中包含的信息,但还不能完全确定策略,并应用事实,操作和结构来寻找与序列和系列材料的故事问题相关的解决方案。
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引用次数: 0
Algebra Reasoning Ability Viewed From Student Gender Differences 从学生性别差异看代数推理能力
Pub Date : 2023-08-14 DOI: 10.31943/mathline.v8i3.476
Nur Kurniyasih, Esti Ambar Nugraheni
Algebraic reasoning skills are important for students to master, with algebraic reasoning students are able to solve everyday problems in algebraic form. Gender is one of the factors that differentiates students' reasoning abilities in solving math problems. This study aims to describe algebraic reasoning in terms of gender differences. This type of research is qualitative with research subjects of four students taken from 31 students, Middle School class VIII by selecting two female students and two male students based on the average score level of each gender in solving System of linear equations of two variables questions based on indicator of algebraic reasoning ability. Data collection techniques in this study were tests, interviews and documentation. The results of this study indicate that the algebraic reasoning of female subjects is higher than that of male subjects. Some of the factors for the low algebraic reasoning of the subject include: the subject is not careful and forgets the formulas that have been taught.
代数推理技能对学生来说是很重要的,有了代数推理,学生就能够用代数的形式来解决日常问题。性别是区分学生解决数学问题推理能力的因素之一。本研究旨在从性别差异的角度描述代数推理。这种类型的研究是定性的,研究对象是4名学生,从31名学生,初八班,选择两名女学生和两名男学生根据代数推理能力指标在解决二元线性方程组问题的平均成绩水平。本研究的数据收集方法为测试、访谈和文献。本研究结果显示,女性受试者的代数推理能力高于男性受试者。该科目代数推理能力低的一些因素包括:该科目不小心,忘记了教过的公式。
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引用次数: 0
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JMPM Jurnal Matematika dan Pendidikan Matematika
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