Pub Date : 2022-06-30DOI: 10.21831/pythagoras.v17i1.35660
B. P. Silalahi, Mohamad Novanto, Prapto Tri Supriyo
Permasalahan knapsack merupakan salah satu masalah optimisasi. Masalah knapsack merupakan suatu permasalahan bagaimana memilih objek dari beberapa objek yang akan dimasukkan ke media penyimpanan dengan masing-masing objek memiliki bobot dan total bobot dari objek yang dipilih tidak boleh melebihi kapasitas media penyimpanannya, sehingga diperoleh nilai yang maksimal. Ketika objek yang dimasukkan ke dalam media penyimpanan bersifat harus dimasukkan semua atau tidak sama sekali, permasalahan ini dikenal dengan nama knapsack 0-1. Salah satu metode penyelesaian masalah knapsack 0-1 adalah dengan menggunakan metode meta-heuristic. Terdapat beberapa metode meta-heuristic seperti algoritma migrating birds optimization dan particle swarm optimization. Paper ini membahas bagaimana algoritma migrating birds optimization dan particle swarm optimization digunakan dalam menyelesaikan permasalahan knapsack 0-1. Kemudian dilakukan perbandingan kinerja kedua algoritma tersebut berdasarkan nilai fungsi tujuan untuk beberapa studi kasus. Berdasarkan hasil penelitian ini algoritme migrating birds optimization mempunyai nilai hasil fungsi objektif yang lebih baik dibandingkan dengan algoritma particle swarm optimization.Migrating Birds Optimization Algorithm and Particle Swarm Optimization Algorithm: Knapsack problem solving 0-1AbstractThe knapsack problem is one of the optimization problems. The knapsack problem is a problem of how to select objects from several objects to be inserted into the storage with each object having a weight and the total weight of the selected object must not exceed the capacity of the storage so that the maximum value is obtained. When objects that are inserted into the storage have the character of having to be included all or nothing, this problem is known as the 0-1 knapsack. One of the methods of solving the 0-1 knapsack problem is by using the meta-heuristic method. There are several meta-heuristic methods such as the migrating birds optimization algorithm and particle swarm optimization. This paper discusses how migrating birds optimization and particle swarm optimization algorithms are used to solve the 0-1 knapsack problem. Then the performance of the two algorithms is compared based on the objective function values for several case studies. Based on the results of this study, the migrating birds optimization algorithm has better objective function values than the particle swarm optimization algorithm.
{"title":"Algoritme Migrating Birds Optimization dan Algoritme Particle Swarm Optimization: Penyelesaian Masalah Knapsack 0-1","authors":"B. P. Silalahi, Mohamad Novanto, Prapto Tri Supriyo","doi":"10.21831/pythagoras.v17i1.35660","DOIUrl":"https://doi.org/10.21831/pythagoras.v17i1.35660","url":null,"abstract":"Permasalahan knapsack merupakan salah satu masalah optimisasi. Masalah knapsack merupakan suatu permasalahan bagaimana memilih objek dari beberapa objek yang akan dimasukkan ke media penyimpanan dengan masing-masing objek memiliki bobot dan total bobot dari objek yang dipilih tidak boleh melebihi kapasitas media penyimpanannya, sehingga diperoleh nilai yang maksimal. Ketika objek yang dimasukkan ke dalam media penyimpanan bersifat harus dimasukkan semua atau tidak sama sekali, permasalahan ini dikenal dengan nama knapsack 0-1. Salah satu metode penyelesaian masalah knapsack 0-1 adalah dengan menggunakan metode meta-heuristic. Terdapat beberapa metode meta-heuristic seperti algoritma migrating birds optimization dan particle swarm optimization. Paper ini membahas bagaimana algoritma migrating birds optimization dan particle swarm optimization digunakan dalam menyelesaikan permasalahan knapsack 0-1. Kemudian dilakukan perbandingan kinerja kedua algoritma tersebut berdasarkan nilai fungsi tujuan untuk beberapa studi kasus. Berdasarkan hasil penelitian ini algoritme migrating birds optimization mempunyai nilai hasil fungsi objektif yang lebih baik dibandingkan dengan algoritma particle swarm optimization.Migrating Birds Optimization Algorithm and Particle Swarm Optimization Algorithm: Knapsack problem solving 0-1AbstractThe knapsack problem is one of the optimization problems. The knapsack problem is a problem of how to select objects from several objects to be inserted into the storage with each object having a weight and the total weight of the selected object must not exceed the capacity of the storage so that the maximum value is obtained. When objects that are inserted into the storage have the character of having to be included all or nothing, this problem is known as the 0-1 knapsack. One of the methods of solving the 0-1 knapsack problem is by using the meta-heuristic method. There are several meta-heuristic methods such as the migrating birds optimization algorithm and particle swarm optimization. This paper discusses how migrating birds optimization and particle swarm optimization algorithms are used to solve the 0-1 knapsack problem. Then the performance of the two algorithms is compared based on the objective function values for several case studies. Based on the results of this study, the migrating birds optimization algorithm has better objective function values than the particle swarm optimization algorithm.","PeriodicalId":31653,"journal":{"name":"Pythagoras Jurnal pendidikan Matematika","volume":"15 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80672188","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}
Pub Date : 2022-06-30DOI: 10.21831/pythagoras.v17i1.42446
S. Pagiling, K. D. Nur'aini
The teachers' knowledge of specific content has a positive relationship with the students' mathematics achievement. Mathematics teachers must have an appropriate level to ensure mathematics learning effectively. The quadrilateral is one of the essential contents in geometry. However, many teachers did not successfully deliver and teach this content in classroom instruction. Therefore, this qualitative study explores the specialized content knowledge of lower secondary teachers in defining and classifying quadrilaterals. Four teachers, two male and two female teachers, were recruited to become participants in this work. All participants have similar teaching experience and do not hold an educator certificate. A test and semi-structured interviews were assigned to obtain specialized content knowledge of the teachers on quadrilaterals. The interview data were analyzed in three stages: data condensation, data presentation, and conclusion drawing. The findings show that only one teacher understands hierarchically in defining and classifying quadrilaterals, two teachers are at the partial prototype level because they cannot see the hierarchical relationship between the quadrilaterals, and another teacher is at the prototype understanding level because it relies on the prototype of quadrilaterals' shape. These findings suggest that lower secondary teachers' special content knowledge of quadrilateral needs to be strengthened through workshops and training professional development.
{"title":"Specialized Content Knowledge Lower Secondary School Teachers on Quadrilaterals","authors":"S. Pagiling, K. D. Nur'aini","doi":"10.21831/pythagoras.v17i1.42446","DOIUrl":"https://doi.org/10.21831/pythagoras.v17i1.42446","url":null,"abstract":"The teachers' knowledge of specific content has a positive relationship with the students' mathematics achievement. Mathematics teachers must have an appropriate level to ensure mathematics learning effectively. The quadrilateral is one of the essential contents in geometry. However, many teachers did not successfully deliver and teach this content in classroom instruction. Therefore, this qualitative study explores the specialized content knowledge of lower secondary teachers in defining and classifying quadrilaterals. Four teachers, two male and two female teachers, were recruited to become participants in this work. All participants have similar teaching experience and do not hold an educator certificate. A test and semi-structured interviews were assigned to obtain specialized content knowledge of the teachers on quadrilaterals. The interview data were analyzed in three stages: data condensation, data presentation, and conclusion drawing. The findings show that only one teacher understands hierarchically in defining and classifying quadrilaterals, two teachers are at the partial prototype level because they cannot see the hierarchical relationship between the quadrilaterals, and another teacher is at the prototype understanding level because it relies on the prototype of quadrilaterals' shape. These findings suggest that lower secondary teachers' special content knowledge of quadrilateral needs to be strengthened through workshops and training professional development.","PeriodicalId":31653,"journal":{"name":"Pythagoras Jurnal pendidikan Matematika","volume":"14 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81266148","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}
Pub Date : 2022-06-30DOI: 10.21831/pythagoras.v17i1.48982
Khurul Wardati, M. Riyanto
Library research dengan pendekatan deduksi-induksi ini bertujuan untuk mengkaji kesemiprimaan mendasar aljabar tak bebas yang dibangun secara hingga atas ring komutatif unital. Tujuan secara praktis penelitian ini adalah mengaplikasikan suatu contoh aljabar semiprima mendasar yang non-komutatif pada protokol autentikasi berdasarkan masalah dekomposisi. Di samping itu, aljabar semiprima mendasar lebih umum dari aljabar semiprima, hal ini ditunjukkan dengan suatu contoh penyangkal. Hasil utama dari penelitian ini adalah suatu aljabar yang dibangun secara hingga bersifat semiprima mendasar jika dan hanya jika ideal dasar nol merupakan irisan dari semua ideal dasar prima. Lebih lanjut ideal dasar nol merupakan satu-satunya ideal dasar nilpoten. Syarat perlu dan cukup ini serupa dengan sifat aljabar semiprima, dan pembuktian sifat-sifat ini pada keduanya memerlukan konsep annihilator. The basically semiprime algebra and its application on authentication protocolAbstractThis library research is conducted with a deductive-inductive approach. The aim of this study is to explore the basically semiprimeness of the finitely generated non-free algebra over a commutative unital ring. The basically semiprime algebra is more general than a semiprime algebra, which is proven by a counterexample. In theory, Theorem 12 is the main result of the study. The finitely generated algebra over a commutative unital ring is basically semiprime, if and only if, the zero basic ideal is the intersection of all prime basic ideals, if and only if, the zero basic ideal is the only nilpotent basic ideal. These necessary and sufficient conditions are analogous to the properties of a semiprime algebra, and proving these properties in both requires a concept of annihilator. The practical aim of this research is to apply an example of non-commutative basically semiprime algebra in an authentication protocol based on the decomposition problem.
图书馆研究的目的是研究在单座对偶环上建立的无自由代数的基本性质。本研究的实际目的是在基于分解问题的身份验证协议中对一种基本的、非对等的代数标本进行应用。此外，基础代数次素数比次素数更常见，这可以用一个否定的例子来说明。这项研究的主要结果是，如果和只有当零基础理想是所有基本基本理想的一小部分时，就可以建立到基本的次优。进一步的零基础理想是nilpoten唯一的基础理想。需要和足够的条件与代数的本质是相似的，证明这些品质需要一个完全歼灭的概念。本质上是半专利代数及其在验证原colabstract上的应用这项研究的目标是揭示最终的半倾向于在共同的会环上产生非免费的algebra。基本上，半导数代数比半导数更常见，这是由反导数证明的。理论上，12号理论是研究的主要结果。《finitely generated是代数over a commutative unital环是基本上semiprime,如果只和如果《intersection零理想基本是所有质数basic ideals,如果只有如果著作百科全书》,《只有nilpotent零理想basic是basic理想。这些需要和供应是对半启动算法的特性的混淆，并在两者之间提出这些属性的要求。这项研究的实践本质是应用一种非commutive的基本功能，即基于问题的验证协议。
{"title":"Aljabar Semiprima Mendasar dan Aplikasinya pada Protokol Autentikasi","authors":"Khurul Wardati, M. Riyanto","doi":"10.21831/pythagoras.v17i1.48982","DOIUrl":"https://doi.org/10.21831/pythagoras.v17i1.48982","url":null,"abstract":"Library research dengan pendekatan deduksi-induksi ini bertujuan untuk mengkaji kesemiprimaan mendasar aljabar tak bebas yang dibangun secara hingga atas ring komutatif unital. Tujuan secara praktis penelitian ini adalah mengaplikasikan suatu contoh aljabar semiprima mendasar yang non-komutatif pada protokol autentikasi berdasarkan masalah dekomposisi. Di samping itu, aljabar semiprima mendasar lebih umum dari aljabar semiprima, hal ini ditunjukkan dengan suatu contoh penyangkal. Hasil utama dari penelitian ini adalah suatu aljabar yang dibangun secara hingga bersifat semiprima mendasar jika dan hanya jika ideal dasar nol merupakan irisan dari semua ideal dasar prima. Lebih lanjut ideal dasar nol merupakan satu-satunya ideal dasar nilpoten. Syarat perlu dan cukup ini serupa dengan sifat aljabar semiprima, dan pembuktian sifat-sifat ini pada keduanya memerlukan konsep annihilator. The basically semiprime algebra and its application on authentication protocolAbstractThis library research is conducted with a deductive-inductive approach. The aim of this study is to explore the basically semiprimeness of the finitely generated non-free algebra over a commutative unital ring. The basically semiprime algebra is more general than a semiprime algebra, which is proven by a counterexample. In theory, Theorem 12 is the main result of the study. The finitely generated algebra over a commutative unital ring is basically semiprime, if and only if, the zero basic ideal is the intersection of all prime basic ideals, if and only if, the zero basic ideal is the only nilpotent basic ideal. These necessary and sufficient conditions are analogous to the properties of a semiprime algebra, and proving these properties in both requires a concept of annihilator. The practical aim of this research is to apply an example of non-commutative basically semiprime algebra in an authentication protocol based on the decomposition problem.","PeriodicalId":31653,"journal":{"name":"Pythagoras Jurnal pendidikan Matematika","volume":"65 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81492899","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}
Pub Date : 2022-06-30DOI: 10.21831/pythagoras.v17i1.44968
Dyah Shinta Lintang Intyassandy, D. Destiniar, Ety Septiati
This study aims to determine the response and potential effects of using a mathematics e-book on the Pythagorean theorem material. The method used in the development of this ebook is ADDIE. The research data was obtained through student response questionnaires, and student learning outcomes test The subjects used were 15 grade VIII students of SMP Negeri 3 Mesuji Raya, Kab. Ogan Komering Ilir, South Sumatra. Based on the results of data analysis, student responses about practicality obtained the criteria of "very practical" with an average percentage of 86.22%. While the potential influence aspect is stated to have "potential influence" with an average percentage of 86.66% of the student learning outcomes test. The Pythagorean theorem mathematics e-book is suitable for students to use and can be developed on other materials.
本研究旨在确定在毕达哥拉斯定理材料上使用数学电子书的反应和潜在影响。在这本电子书的开发中使用的方法是ADDIE。研究数据通过学生回答问卷和学生学习成果测试获得。研究对象为15名Kab SMP Negeri 3 Mesuji Raya的八年级学生。南苏门答腊岛的Ogan Komering Ilir。根据数据分析的结果，学生对实用性的回答得到了“非常实用”的标准，平均百分比为86.22%。而潜在影响方面被认为具有“潜在影响”，平均百分比为学生学习成果测试的86.66%。毕达哥拉斯定理数学电子书适合学生使用，并且可以在其他材料上进行开发。
{"title":"Development of Mathematics E-Book on Pythagorean Theorem Material","authors":"Dyah Shinta Lintang Intyassandy, D. Destiniar, Ety Septiati","doi":"10.21831/pythagoras.v17i1.44968","DOIUrl":"https://doi.org/10.21831/pythagoras.v17i1.44968","url":null,"abstract":"This study aims to determine the response and potential effects of using a mathematics e-book on the Pythagorean theorem material. The method used in the development of this ebook is ADDIE. The research data was obtained through student response questionnaires, and student learning outcomes test The subjects used were 15 grade VIII students of SMP Negeri 3 Mesuji Raya, Kab. Ogan Komering Ilir, South Sumatra. Based on the results of data analysis, student responses about practicality obtained the criteria of \"very practical\" with an average percentage of 86.22%. While the potential influence aspect is stated to have \"potential influence\" with an average percentage of 86.66% of the student learning outcomes test. The Pythagorean theorem mathematics e-book is suitable for students to use and can be developed on other materials.","PeriodicalId":31653,"journal":{"name":"Pythagoras Jurnal pendidikan Matematika","volume":"67 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79326730","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}
Pub Date : 2022-06-30DOI: 10.21831/pythagoras.v17i1.39713
Nur Hafizhah, Edi Kurniadi, Ema Carnia
Dalam penelitian ini dipelajari aljabar Lie affine aff(3) berdimensi 12 yang merupakan jumlah semi langsung dari ruang vektor matriks berukuran 3x1 dan aljabar Lie matriks berukuran 3x3 . Tujuan penelitian ini adalah untuk membuktikan eksistensi dan struktur aljabar koszul pada aljabar Lie aff(3). Aljabar Lie tersebut adalah aljabar Lie Frobenius. Oleh karena itu, terdapat suatu fungsional linear yang mengakibatkan nilai fungsional linear pada matriks strukturnya tidak sama dengan nol. Fungsional linear yang demikian ini disebut fungsional Frobenius. Dalam penelitian ini diberikan juga bagaimana mendapatkan matriks struktur, menghitung determinannya serta memilih fungsional Frobenius yang tepat. Hasil yang diperoleh dalam penelitian ini adalah rumus eksplisit struktur aljabar koszul pada aljabar Lie affine berdimensi 12 melalui induksi pada bentuk simplektik dari fungsional Frobeniusnya. Sebagai bahan diskusi untuk penelitian selanjutnya, hasil yang diperoleh dapat dikembangkan untuk menentukan struktur aljabar koszul pada aljabar Lie affine berdimensi n(n+1). Structure of Koszul Algebra in Lie Algebra M_(3,1) (R)⋊〖gl〗_3 (R)AbstractIn this research, we study the affine Lie algebra aff(3) of 12 dimension which is the semi-direct sum of the vector space of a matrix of 3x1 and Lie algebra of a matrix of 3x3. The research aims to prove the existence and structure of koszul algebras on the affine Lie algebra aff(3) . Since its Lie algebra is Frobenius then there exists a linear functional whose values in the matrix structure are not equal to zero. Such a linear functional is called a Frobenius functional. Furthermore, in this study, it is also given how to obtain the structure matrix, to calculate its determinants, and to choose the right Frobenius functional. The results obtained in this study are explicit formulas for the structure of the koszul algebra on 12-dimensional Lie affine algebra through induction in the symplectic form of its Frobenius functional. As a discussion material for further research, the results obtained can be developed to determine the structure of koszul algebra in affine Lie algebra of dimension n(n+1).
{"title":"Struktur Aljabar Koszul pada Aljabar Lie M_(3,1) (R)⋊〖gl〗_3 (R)","authors":"Nur Hafizhah, Edi Kurniadi, Ema Carnia","doi":"10.21831/pythagoras.v17i1.39713","DOIUrl":"https://doi.org/10.21831/pythagoras.v17i1.39713","url":null,"abstract":"Dalam penelitian ini dipelajari aljabar Lie affine aff(3) berdimensi 12 yang merupakan jumlah semi langsung dari ruang vektor matriks berukuran 3x1 dan aljabar Lie matriks berukuran 3x3 . Tujuan penelitian ini adalah untuk membuktikan eksistensi dan struktur aljabar koszul pada aljabar Lie aff(3). Aljabar Lie tersebut adalah aljabar Lie Frobenius. Oleh karena itu, terdapat suatu fungsional linear yang mengakibatkan nilai fungsional linear pada matriks strukturnya tidak sama dengan nol. Fungsional linear yang demikian ini disebut fungsional Frobenius. Dalam penelitian ini diberikan juga bagaimana mendapatkan matriks struktur, menghitung determinannya serta memilih fungsional Frobenius yang tepat. Hasil yang diperoleh dalam penelitian ini adalah rumus eksplisit struktur aljabar koszul pada aljabar Lie affine berdimensi 12 melalui induksi pada bentuk simplektik dari fungsional Frobeniusnya. Sebagai bahan diskusi untuk penelitian selanjutnya, hasil yang diperoleh dapat dikembangkan untuk menentukan struktur aljabar koszul pada aljabar Lie affine berdimensi n(n+1). Structure of Koszul Algebra in Lie Algebra M_(3,1) (R)⋊〖gl〗_3 (R)AbstractIn this research, we study the affine Lie algebra aff(3) of 12 dimension which is the semi-direct sum of the vector space of a matrix of 3x1 and Lie algebra of a matrix of 3x3. The research aims to prove the existence and structure of koszul algebras on the affine Lie algebra aff(3) . Since its Lie algebra is Frobenius then there exists a linear functional whose values in the matrix structure are not equal to zero. Such a linear functional is called a Frobenius functional. Furthermore, in this study, it is also given how to obtain the structure matrix, to calculate its determinants, and to choose the right Frobenius functional. The results obtained in this study are explicit formulas for the structure of the koszul algebra on 12-dimensional Lie affine algebra through induction in the symplectic form of its Frobenius functional. As a discussion material for further research, the results obtained can be developed to determine the structure of koszul algebra in affine Lie algebra of dimension n(n+1).","PeriodicalId":31653,"journal":{"name":"Pythagoras Jurnal pendidikan Matematika","volume":"45 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76298359","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}
Pub Date : 2022-06-30DOI: 10.21831/pythagoras.v17i1.34994
Sri Andayani, Ega Noviastuti
Penelitian ini bertujuan menghasilkan model untuk mengidentifikasi mutu singkong berdasarkan warna sebagai bahan pembuatan tepung mocaf dengan berbasis citra digital. Metode yang digunakan meliputi beberapa tahap pengolahan citra digital antara lain preprocessing dan ekstraksi ciri. Preprocessing meliputi cropping, resizing, dan grayscaling, sedangkan ekstraksi ciri meliputi segmentasi threshold dan binerisasi. Data penelitian menggunakan 118 citra singkong yang dibagi menjadi 72 citra data latih dan 46 data uji. Hasil penelitian berupa model identifikasi yang mendasarkan pada dua hal berikut: a) menggunakan ekstraksi ciri yang meliputi segmentasi threshold dengan nilai ambang 170 dan binerisasi dengan nilai ambang 75; dan b) penentuan mutu singkong dilakukan berdasarkan perbandingan luas piksel putih hasil segmentasi threshold dengan luas piksel putih hasil binerisasi. Singkong dikatakan bermutu baik jika citranya yang memiliki persentase luas piksel warna putih lebih besar atau sama dengan 65%. Model yang dihasilkan memberikan akurasi sebesar 94% terhadap 72 data latih dan sebesar 95% terhadap 46 data uji. Cassava Identification Model Based on Color for Mocaf Flour Using Digital ImageAbstractThis study aims to produce a model to identify the quality of cassava-based on color as an ingredient for making mocaf flour based on digital images. The procedure includes preprocessing and feature extraction among other steps of digital image processing. Preprocessing includes cropping, resizing, and grayscaling, while feature extraction includes threshold segmentation and binaryization. The data are 188 cassava images consisting of 72 training data images and 46 test data. The result of the study is an identification model based on the following two things: a) utilizing feature extraction that uses threshold segmentation with a threshold value of 170 and binaryization with a threshold value of 75; and b) determining of the quality of cassava is carried out based on the ratio of the area of white pixels produced by threshold segmentation to the area of white pixels produced by binaryization. If 65% or more of the pixels in the image are white, the cassava has a good quality. The resulting model provides an accuracy of 94% for 72 training data and 95% for 46 test data.
这项研究的目的是建立一个模型，以颜色为基础，以数字图像为基础，确定木薯的质量。使用的方法包括几个阶段的数字图像处理，包括增强和提取特征。预处理包括切割、残留物和灰度，而提取特征包括细分threshold和二叠加。研究数据使用118个木薯图像除以72个培训数据图像和46个测试数据。研究结果是基于以下两方面的识别模型:a)采用提取特征，包括107分的threshold和75分的二元性;和b)确定木薯的质量是根据分割threshold的白色像素面积与二进制的白色像素面积进行比较。如果木薯的可比性大于65%，而木薯被认为是好的。结果模型为72项培训数据提供了94%的准确率，为46项测试数据提供了95%的准确率。Cassava标识模型基于数字imaimagestractthis study of study to product a Model来标识基于数字images上的Mocaf Flour质量。程序包括对产品的过度需求和对数字图像的其他步骤的提取。污染包括crocludes, resition，和灰度，而激情的提取包括股份分割和二进制。数据是188 - cassava images，是72个培训数据images和46个测试数据。研究的结果是基于两件事的模型:a)实用的情感体验b)卡萨瓦的质量的确定是基于白色像素地区的耕作，由白色像素区分割而成。如果图像中65%或更多的像素是白色的，cassava有很好的质量。计算结果为72个数据训练的94%，95%的数据测试。
{"title":"Model Identifikasi Singkong Berdasarkan Warna untuk Tepung Mocaf Berbasis Citra Digital","authors":"Sri Andayani, Ega Noviastuti","doi":"10.21831/pythagoras.v17i1.34994","DOIUrl":"https://doi.org/10.21831/pythagoras.v17i1.34994","url":null,"abstract":"Penelitian ini bertujuan menghasilkan model untuk mengidentifikasi mutu singkong berdasarkan warna sebagai bahan pembuatan tepung mocaf dengan berbasis citra digital. Metode yang digunakan meliputi beberapa tahap pengolahan citra digital antara lain preprocessing dan ekstraksi ciri. Preprocessing meliputi cropping, resizing, dan grayscaling, sedangkan ekstraksi ciri meliputi segmentasi threshold dan binerisasi. Data penelitian menggunakan 118 citra singkong yang dibagi menjadi 72 citra data latih dan 46 data uji. Hasil penelitian berupa model identifikasi yang mendasarkan pada dua hal berikut: a) menggunakan ekstraksi ciri yang meliputi segmentasi threshold dengan nilai ambang 170 dan binerisasi dengan nilai ambang 75; dan b) penentuan mutu singkong dilakukan berdasarkan perbandingan luas piksel putih hasil segmentasi threshold dengan luas piksel putih hasil binerisasi. Singkong dikatakan bermutu baik jika citranya yang memiliki persentase luas piksel warna putih lebih besar atau sama dengan 65%. Model yang dihasilkan memberikan akurasi sebesar 94% terhadap 72 data latih dan sebesar 95% terhadap 46 data uji. Cassava Identification Model Based on Color for Mocaf Flour Using Digital ImageAbstractThis study aims to produce a model to identify the quality of cassava-based on color as an ingredient for making mocaf flour based on digital images. The procedure includes preprocessing and feature extraction among other steps of digital image processing. Preprocessing includes cropping, resizing, and grayscaling, while feature extraction includes threshold segmentation and binaryization. The data are 188 cassava images consisting of 72 training data images and 46 test data. The result of the study is an identification model based on the following two things: a) utilizing feature extraction that uses threshold segmentation with a threshold value of 170 and binaryization with a threshold value of 75; and b) determining of the quality of cassava is carried out based on the ratio of the area of white pixels produced by threshold segmentation to the area of white pixels produced by binaryization. If 65% or more of the pixels in the image are white, the cassava has a good quality. The resulting model provides an accuracy of 94% for 72 training data and 95% for 46 test data.","PeriodicalId":31653,"journal":{"name":"Pythagoras Jurnal pendidikan Matematika","volume":"7 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89514455","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}
Pub Date : 2022-06-30DOI: 10.21831/pythagoras.v17i1.48637
S. Sugiman, Emi Pujiastuti, Ziyana Endah Khairun Nisa'
Beberapa Perguruan Tinggi sekarang ini membuka kesempatan bagi siswa disabilitas misalnya tunarungu untuk menjadi mahasiswa di kelas inklusif. Oleh karena itu, penulisan artikel ini bertujuan untuk membahas: (1) Cara memberikan peran kepada mahasiswa tunarungu di kelas insklusif agar dapat ikut berpartisipasi dalam kegiatan ilmiah berupa diskusi dalam kelompok kecil mahasiswa. (2) Cara menyediakan media teknologi asistif berupa problem solving videos untuk memfasilitasi mahasiswa tunarungu di kelas inklusif dalam diskusi ilmiah. Langkah untuk mencapai tujuan tersebut dilakukan dengan cara: (1) pelatihan dan pendampingan mahasiswa dalam berbahasa isyarat, (2) mixed method yang menggabungkan R D dan pendekatan kualitatif. R D untuk menemukan keabsahan media teknologi asistif berupa problem solving videos, sedangkan pendekatan kualitatif untuk mengungkap aspek tanggapan subjek penelitian terhadap pemakaian media teknologi asistif berupa problem solving videos. Hasil yang diperoleh adalah: (1) Setelah dilaksanakan pelatihan dan pendampingan dalam berbahasa isyarat pada semua mahasiswa di kelas inklusif, mahasiswa tunarungu dapat terlibat pada kegiatan diskusi pada materi perkuliahan. (2) Semua subjek penelitian memberikan tanggapan positif dan mendukung ketersediaan media teknologi asistif berupa problem solving videos untuk memfasilitasi mahasiswa tunarungu di kelas inklusif dalam melakukan diskusi ilmiah.Problem Solving Videos as Assistive Technology Media to Facilitate Deaf Students in Inclusive ClassAbstractSeveral universities currently open opportunities for students with disabilities, such as the deaf to become students in inclusive classes. Therefore, the purpose of this article is to discuss: (1) how to give roles for deaf students in the class to be able to participate in scientific activities as discussion in small student groups; (2) how to provide assistive technology which is the problem-solving videos to facilitate deaf students in scientific discussion in the inclusive class. To achieve the purposes carried out: (1) training and monitoring students in sign language, (2) mixing the method by combining R D method and qualitative approaches. R D to find the validity of assistive technology media in the form of problem solving videos, while the qualitative approach is to reveal aspects of research subjects' responses to the use of assistive technology media in the form of problem solving videos. The results from this research are: (1) After training and assistance in sign language have been carried out for all students in the inclusive class, deaf students can be involved in discussion activities on lecture material. (2) All research subjects gave positive responses and supported the availability of assistive technology media in the form of problem solving videos to facilitate students with hearing impairment in the inclusive class in scientific discussions.
{"title":"Problem Solving Videos sebagai Media Teknologi Asistif untuk Memfasilitasi Mahasiswa Tunarungu di Kelas Inklusif","authors":"S. Sugiman, Emi Pujiastuti, Ziyana Endah Khairun Nisa'","doi":"10.21831/pythagoras.v17i1.48637","DOIUrl":"https://doi.org/10.21831/pythagoras.v17i1.48637","url":null,"abstract":"Beberapa Perguruan Tinggi sekarang ini membuka kesempatan bagi siswa disabilitas misalnya tunarungu untuk menjadi mahasiswa di kelas inklusif. Oleh karena itu, penulisan artikel ini bertujuan untuk membahas: (1) Cara memberikan peran kepada mahasiswa tunarungu di kelas insklusif agar dapat ikut berpartisipasi dalam kegiatan ilmiah berupa diskusi dalam kelompok kecil mahasiswa. (2) Cara menyediakan media teknologi asistif berupa problem solving videos untuk memfasilitasi mahasiswa tunarungu di kelas inklusif dalam diskusi ilmiah. Langkah untuk mencapai tujuan tersebut dilakukan dengan cara: (1) pelatihan dan pendampingan mahasiswa dalam berbahasa isyarat, (2) mixed method yang menggabungkan R D dan pendekatan kualitatif. R D untuk menemukan keabsahan media teknologi asistif berupa problem solving videos, sedangkan pendekatan kualitatif untuk mengungkap aspek tanggapan subjek penelitian terhadap pemakaian media teknologi asistif berupa problem solving videos. Hasil yang diperoleh adalah: (1) Setelah dilaksanakan pelatihan dan pendampingan dalam berbahasa isyarat pada semua mahasiswa di kelas inklusif, mahasiswa tunarungu dapat terlibat pada kegiatan diskusi pada materi perkuliahan. (2) Semua subjek penelitian memberikan tanggapan positif dan mendukung ketersediaan media teknologi asistif berupa problem solving videos untuk memfasilitasi mahasiswa tunarungu di kelas inklusif dalam melakukan diskusi ilmiah.Problem Solving Videos as Assistive Technology Media to Facilitate Deaf Students in Inclusive ClassAbstractSeveral universities currently open opportunities for students with disabilities, such as the deaf to become students in inclusive classes. Therefore, the purpose of this article is to discuss: (1) how to give roles for deaf students in the class to be able to participate in scientific activities as discussion in small student groups; (2) how to provide assistive technology which is the problem-solving videos to facilitate deaf students in scientific discussion in the inclusive class. To achieve the purposes carried out: (1) training and monitoring students in sign language, (2) mixing the method by combining R D method and qualitative approaches. R D to find the validity of assistive technology media in the form of problem solving videos, while the qualitative approach is to reveal aspects of research subjects' responses to the use of assistive technology media in the form of problem solving videos. The results from this research are: (1) After training and assistance in sign language have been carried out for all students in the inclusive class, deaf students can be involved in discussion activities on lecture material. (2) All research subjects gave positive responses and supported the availability of assistive technology media in the form of problem solving videos to facilitate students with hearing impairment in the inclusive class in scientific discussions.","PeriodicalId":31653,"journal":{"name":"Pythagoras Jurnal pendidikan Matematika","volume":"56 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86885487","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}
Pub Date : 2022-05-29DOI: 10.22342/jpm.16.2.17055.141-156
Yurika Mariani, R. Putri, H. Hapizah, Milhana Betty
This development research aims to produce PISA-like mathematics problems with quantity content using a valid and practical COVID-19 context and to investigate the potential effect of these problems on mathematical literacy skills. This research employed a development research design with two stages: preliminary and formative evaluations. This study also employed the Lesson Study Learning Community (LSLC) system in the process of development and implementation. This study involved eighth-grade students aged 13-15 years at SMP Negeri 19 Palembang. The data were collected using walk-through, document, observation, interview, and test techniques. This study produced 6 units and 12 items of PISA-like mathematics problems with several content characteristics of the COVID-19 context, including working, personal, and social contexts and levels that agree with the 2018 PISA framework; and competence processes, such as mathematical literacy skills and standardized linguistic skills that can be applied and interpreted by students. To conclude, the developed PISA-like mathematics problems are valid and practical and potentially affect mathematical literacy skills and learning to confront life skills during the COVID-19 pandemic.
本开发研究旨在利用有效和实际的COVID-19背景，制作具有数量内容的类似pisa的数学问题，并调查这些问题对数学素养技能的潜在影响。本研究采用发展研究设计，分为两个阶段:初步评估和形成性评估。本研究在开发与实施的过程中也采用了课程研究学习社区(LSLC)系统。这项研究的对象是位于巨港市的SMP Negeri 19的13-15岁的八年级学生。数据是通过演练、文档、观察、访谈和测试技术收集的。本研究制作了6个单元和12个类似PISA的数学问题，这些问题具有COVID-19背景的几个内容特征，包括与2018年PISA框架一致的工作、个人和社会背景和水平;以及能力过程，如数学素养技能和标准化语言技能，这些都可以被学生应用和解释。总而言之，开发的类似pisa的数学问题是有效和实用的，并可能影响2019冠状病毒病大流行期间的数学素养技能和学习应对生活技能。
{"title":"COVID-19 Context in PISA-Like Mathematics Problems","authors":"Yurika Mariani, R. Putri, H. Hapizah, Milhana Betty","doi":"10.22342/jpm.16.2.17055.141-156","DOIUrl":"https://doi.org/10.22342/jpm.16.2.17055.141-156","url":null,"abstract":"This development research aims to produce PISA-like mathematics problems with quantity content using a valid and practical COVID-19 context and to investigate the potential effect of these problems on mathematical literacy skills. This research employed a development research design with two stages: preliminary and formative evaluations. This study also employed the Lesson Study Learning Community (LSLC) system in the process of development and implementation. This study involved eighth-grade students aged 13-15 years at SMP Negeri 19 Palembang. The data were collected using walk-through, document, observation, interview, and test techniques. This study produced 6 units and 12 items of PISA-like mathematics problems with several content characteristics of the COVID-19 context, including working, personal, and social contexts and levels that agree with the 2018 PISA framework; and competence processes, such as mathematical literacy skills and standardized linguistic skills that can be applied and interpreted by students. To conclude, the developed PISA-like mathematics problems are valid and practical and potentially affect mathematical literacy skills and learning to confront life skills during the COVID-19 pandemic.","PeriodicalId":31653,"journal":{"name":"Pythagoras Jurnal pendidikan Matematika","volume":"9 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-05-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80623369","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}
Pub Date : 2022-05-20DOI: 10.22342/jpm.16.2.16633.121-140
Iffanna Fitrotul Aaidati, S. Subanji, I. Sulandra, Hendro Permadi
Evaluation of the argumentation structure is needed to check the quality of student argumentation to produce appropriate problem-solving. Such evaluation can be carried out by identifying the constituent components of the argument. This study aims to describe the structure of student argumentation in solving statistical problems based on the Adversity Quotient (AQ). This qualitative descriptive type of research involved 52 students who were taking statistical methods courses. Participants were classified into three Categories of Adversity Quotient based on the results of the ARP (Adversity Response Profile) questionnaire. Data were obtained using statistical problem tests and interviews. The results showed that students with the AQ Climber category were able to meet all the constituent components of argumentation when solving statistical problems. AQ Camper-type students are only able to meet three components, namely claims, evidence, and reasoning. Meanwhile, students with the AQ Quitter type are only able to fulfill one component, namely claims. Based on the results of the study, the level of Adversity Quotient determines the quality of the student's argumentation structure when solving statistical problems.
{"title":"Student Argumentation Structure in Solving Statistical Problems Based on Adversity Quotient","authors":"Iffanna Fitrotul Aaidati, S. Subanji, I. Sulandra, Hendro Permadi","doi":"10.22342/jpm.16.2.16633.121-140","DOIUrl":"https://doi.org/10.22342/jpm.16.2.16633.121-140","url":null,"abstract":"Evaluation of the argumentation structure is needed to check the quality of student argumentation to produce appropriate problem-solving. Such evaluation can be carried out by identifying the constituent components of the argument. This study aims to describe the structure of student argumentation in solving statistical problems based on the Adversity Quotient (AQ). This qualitative descriptive type of research involved 52 students who were taking statistical methods courses. Participants were classified into three Categories of Adversity Quotient based on the results of the ARP (Adversity Response Profile) questionnaire. Data were obtained using statistical problem tests and interviews. The results showed that students with the AQ Climber category were able to meet all the constituent components of argumentation when solving statistical problems. AQ Camper-type students are only able to meet three components, namely claims, evidence, and reasoning. Meanwhile, students with the AQ Quitter type are only able to fulfill one component, namely claims. Based on the results of the study, the level of Adversity Quotient determines the quality of the student's argumentation structure when solving statistical problems.","PeriodicalId":31653,"journal":{"name":"Pythagoras Jurnal pendidikan Matematika","volume":"212 ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-05-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72540453","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}
Pub Date : 2022-04-30DOI: 10.22342/jpm.16.2.17079.187-202
I. I. Supianti, P. Yaniawati, Adhitya Gilang Ramadhan, Muhamad Setyaji, P. Puspitasari
The connection ability and disposition of mathematics of junior high school students still need to be improved. This research purpose to analyze the enhancement of connection of mathematics abilities and mathematical dispositions of students who received CORE learning models and conventional learning and to analyze the correlation between the connection abilities and students’ dispositions. This study uses the embedded type Mixed Method. The population was all eighth-grade students one of the public junior high schools in Pangalengan, Bandung Regency, and the sample involved as many as 74 students. The instruments used were a mathematical connection ability test, a disposition questionnaire, an observation sheet, and an interview guide. Analysis of data used two Independent Sample t-Test and Mann Whitney test. The results showed that: 1) the improvement of the connection ability of students who received CORE learning was better than students who received conventional learning 2) the disposition of students who received the CORE learning model was better than students who received conventional learning models, 3) there was no relationship between connection ability and disposition of students using the CORE learning model. The conclusion is CORE model is effective to improve students' mathematical connection ability and mathematical disposition.
{"title":"Improving Connection Ability and Mathematical Disposition of Junior High School Students with Connecting, Organizing, Reflecting, Extending (CORE) Learning Model","authors":"I. I. Supianti, P. Yaniawati, Adhitya Gilang Ramadhan, Muhamad Setyaji, P. Puspitasari","doi":"10.22342/jpm.16.2.17079.187-202","DOIUrl":"https://doi.org/10.22342/jpm.16.2.17079.187-202","url":null,"abstract":"The connection ability and disposition of mathematics of junior high school students still need to be improved. This research purpose to analyze the enhancement of connection of mathematics abilities and mathematical dispositions of students who received CORE learning models and conventional learning and to analyze the correlation between the connection abilities and students’ dispositions. This study uses the embedded type Mixed Method. The population was all eighth-grade students one of the public junior high schools in Pangalengan, Bandung Regency, and the sample involved as many as 74 students. The instruments used were a mathematical connection ability test, a disposition questionnaire, an observation sheet, and an interview guide. Analysis of data used two Independent Sample t-Test and Mann Whitney test. The results showed that: 1) the improvement of the connection ability of students who received CORE learning was better than students who received conventional learning 2) the disposition of students who received the CORE learning model was better than students who received conventional learning models, 3) there was no relationship between connection ability and disposition of students using the CORE learning model. The conclusion is CORE model is effective to improve students' mathematical connection ability and mathematical disposition.","PeriodicalId":31653,"journal":{"name":"Pythagoras Jurnal pendidikan Matematika","volume":"19 11-12 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-04-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78143825","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}
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