scholarly journals PENGEMBANGAN BAHAN AJAR ALJABAR LINEAR ELEMENTER BERDASARKAN KEMAMPUAN KONEKSI MATEMATIS

2020 ◽  
Vol 11 (2) ◽  
pp. 217
Author(s):  
DONA FITRIAWAN
Keyword(s):  
Linear Algebra ◽  
Linear Equations ◽  
Teaching Material ◽  
Teaching Materials ◽  
Analysis Techniques ◽  
Stage Of Development ◽  
Systems Of Linear Equations ◽  
Development Approach ◽  
Mathematical Connection ◽  
Expert Validation

The purpose of this study is to develop: 1. elementary linear algebra teaching materials based on mathematical connection skills; 2. syllabus and lecture plan; 3. test mathematical connection skills. This type of research is a research and development approach whose research design consists of four stages, namely defining, planning, developing, and dissiminating. Data analysis techniques in this study describe narratively the steps in developing teaching materials. Based on the results of the analysis of the data obtained that: 1) the stages of developing teaching materials starting from the stages of defining, designing, until the first stage of development, namely expert validation. From this stage of development a revised elementary linear algebra teaching material has been produced based on input from three validators. Teaching materials compiled consist of four materials, namely systems of linear equations, matrices, inverses, and matrix determinants; 2) based on the opinions of three experts, elementary linear algebra teaching materials that have been compiled are classified as valid and good in terms of accuracy of contents, digestibility, use of language, so that they can be used to develop mathematical connection skills.AbstrakTujuan dari penelitian ini adalah untuk mengembangkan: 1. bahan ajar aljabar linier dasar berdasarkan keterampilan koneksi matematika; 2. silabus dan rencana kuliah; 3. menguji keterampilan koneksi matematika. Jenis penelitian ini adalah pendekatan penelitian dan pengembangan yang desain penelitiannya terdiri dari empat tahap, yaitu mendefinisikan, merencanakan, mengembangkan, dan menyebarluaskan. Teknik analisis data dalam penelitian ini menggambarkan secara naratif langkah-langkah dalam mengembangkan bahan ajar. Berdasarkan hasil analisis data diperoleh bahwa: 1) tahap pengembangan bahan ajar mulai dari tahap pendefinisian, perancangan, hingga tahap pertama pengembangan, yaitu validasi ahli. Dari tahap pengembangan ini bahan ajar aljabar linier revisi telah dihasilkan berdasarkan masukan dari tiga validator. Bahan ajar yang disusun terdiri dari empat bahan, yaitu sistem persamaan linear, matriks, invers, dan determinan matriks; 2) berdasarkan pendapat tiga ahli, bahan ajar aljabar linier dasar yang telah disusun diklasifikasikan sebagai valid dan baik dalam hal keakuratan isi, kecernaan, penggunaan bahasa, sehingga dapat digunakan untuk mengembangkan keterampilan koneksi matematis.Kata Kunci: bahan ajar, kemampuan koneksi matematis

An attempt to reduce learning difficulties in Linear Algebra courses

2016 ◽  
Vol 8 (2) ◽  
pp. 156
Author(s):  
Marta Graciela Caligaris ◽  
María Elena Schivo ◽  
María Rosa Romiti
Keyword(s):  
Linear Algebra ◽  
Linear Equations ◽  
Learning Difficulties ◽  
Vector Spaces ◽  
Analytic Geometry ◽  
Teaching Activities ◽  
Interactive Tools ◽  
Systems Of Linear Equations

In engineering careers, the study of Linear Algebra begins in the first course. Some topics included in this subject are systems of linear equations and vector spaces. Linear Algebra is very useful but can be very abstract for teaching and learning.In an attempt to reduce learning difficulties, different approaches of teaching activities supported by interactive tools were analyzed. This paper presents these tools, designed with GeoGebra for the Algebra and Analytic Geometry course at the Facultad Regional San Nicolás (FRSN), Universidad Tecnológica Nacional (UTN), Argentina.

scholarly journals ANALISIS KEMAMPUAN KONEKSI MATEMATIS MATERI SISTEM PERSAMAAN LINEAR DUA VARIABEL DITINJAU DARI KONEKSI REPRESENTASI DAN KONEKSI PROSEDURAL

2020 ◽  
Vol 3 (2) ◽  
pp. 87-93
Author(s):  
Siti Dwi Ifa Rochmawati ◽  
Junarti Junarti ◽  
Ifa Khoiria Ningrum
Keyword(s):  
Linear Equations ◽  
Qualitative Approach ◽  
Story Problems ◽  
Research Subjects ◽  
Data Presentation ◽  
Analysis Techniques ◽  
Mathematical Symbols ◽  
Study Results ◽  
The Subject ◽  
Mathematical Connection

This article aims to determine the extent of the mathematical connection ability of the linear equations system of two variables in terms of the connection representation and procedural connections. This type of research uses a qualitative approach. This study's subjects were the students of class X MIPA 1 MA P2K Al Hidayah Lajukidul, which numbered 24 students. However, only six subjects were taken based on the level of mathematical connection ability high, medium, and low that had been selected by mathematics subject teachers based on students' ability to solve math story problems. The research instrument consisted of tests and interview questions. Data analysis techniques using the model of Miles and Huberman include data reduction, data presentation, and concluding. The study results showed that in question no. 1, all research subjects can represent connections and procedural connections, students can write mathematical symbols and answer questions using formulas correctly. In problem no.2, only the subject of high mathematical connection ability can connect representation and procedural connections. The other subject is not quite right in writing mathematical symbols. In question no.3, only subjects with low mathematical connection ability do not have representation and procedural connection skills; students only write what is known but is incomplete. In conclusion, the two-variable linear equation system's mathematical connection ability in terms of the connection representation and procedural connections are not evenly distributed.   Artikel ini bertujuan untuk mengetahui sejauhmana kemampuan koneksi matematis materi sistem persamaan linear dua variabel ditinjau dari koneksi representasi dan koneksi prosedural. Jenis penelitian ini menggunakan pendekatan kualitatif. Subjek penelitian ini adalah siswa kelas X MIPA 1 MA P2K Al Hidayah Lajukidul yang berjumlah 24 siswa tetapi hanya diambil 6 subjek berdasarkan tingkat kemampuan koneksi matematis tinggi, sedang, dan rendah yang telah dipilih oleh guru mata pelajaran matematika berdasarkan kemampuan siswa dalam menyelesaikan soal cerita matematika. Instrumen penelitian terdiri dari soal tes dan wawancara. Teknik analisis data menggunakan model Miles dan Huberman meliputi reduksi data, penyajian data, dan penarikan kesimpulan. Hasil penelitian menunjukkan bahwa pada soal  no. 1 semua subjek penelitian mempunyai kemampuan koneksi representasi dan koneksi prosedural, siswa mampu menuliskan simbol matematika dan menjawab soal menggunakan rumus dengan benar. Pada soal no.2 hanya subjek kemampuan koneksi matematis tinggi yang mempunyai kemampuan koneksi representasi dan koneksi prosedural, subjek yang lain kurang tepat dalam menuliskan simbol matematika. Pada soal no.3 hanya subjek kemampuan koneksi matematis rendah yang belum mempunyai kemampuan koneksi representasi dan prosedural, siswa hanya menuliskan apa yang diketahui tetapi tidak lengkap. Kesimpulannya kemampuan koneksi matematis materi sistem persamaan linear dua variabel ditinjau dari koneksi representasi dan koneksi prosedural belum merata.

scholarly journals Pengembangan Bahan Ajar Biologi Materi Virus Berbasis SocioScientific Issues (SSI) untuk Meningkatkan Kemampuan Berpikir Kritis Siswa

2021 ◽  
Vol 11 (1) ◽  
pp. 87-104
Author(s):  
Diyana Septiningrum ◽  
Nur Khasanah ◽  
Nur Khoiri
Keyword(s):  
Critical Thinking ◽  
Thinking Skills ◽  
Critical Thinking Skills ◽  
Teaching Material ◽  
Teaching Materials ◽  
Average Value ◽  
Teachers And Students ◽  
The Difference ◽  
Materials Used ◽  
Expert Validation

The purpose of research is to know the characteristics, feasibility and effectiveness of developing teaching materials viruses based on Socio-Scientific Issues (SSI) to improve critical thinking skills. Research method using Research and Development (RD) with a 4D step (define, design, develop, disseminate) Thiagarajan et all. The subjects of the study are 34 students class X MIPA 1 as the experimental class and 34 students class X MIPA 4 as the control class. The eligibility of teaching material is derived from the results of expert validation questionnaires, responses of biology teachers and students' responses, and effectiveness of critical thinking skills from the results of the test questions pretest and posttest. The results of the characteristics teaching material viruses based SSI include: cover, introduction, news analysis, material, summary, evaluation, bibliography and glossary. The results of the eligibility from the material expert validation questionnaire were 88,67%, 94,67% of media experts, 83,55% of teacher responses and 82,29% of students' responses. The effectiveness of teaching materials used was obtained from the difference in the average value of experimental learning outcomes of 81.84 and 76.84 kontrol class with tcount = 4.338 and ttable = 1.6682 which means tcount ttable and Ha accepted, concluded that there were differences in posttest results experimental class with kontrol class. The n-gain results obtained the value of the experimental class of 0.63 and the control class of 0.54 with their respective categories being moderate. So it can be concluded that the use of biological material teaching material based on Socio-Scientific Issues (SSI) is effective to improve students' critical thinking skills class X SMA 12 Semarang.

scholarly journals Pengembangan Bahan Ajar PAI Materi Qs. Al-Fil Kelas IV SDN 17 Muara Sugihan Berbasis Multimedia

2020 ◽  
Vol 3 (1) ◽  
pp. 1-9
Author(s):  
Daryanto Daryanto ◽  
Mulyadi Eko Purnomo ◽  
Helen Sabera Adib
Keyword(s):  
Secondary Data ◽  
Primary Data ◽  
Average Score ◽  
Teaching Material ◽  
Student Interest ◽  
Teaching Materials ◽  
Initial Product ◽  
Use Of Technology ◽  
Significant Difference ◽  
Expert Validation

Education that is characterized by the use of technology in learning is education that is in line with the times and globalization. Therefore teachers are required to be able to develop learning that can motivate student interest in learning. Many ways can be done in this case such as developing teaching materials in the form of multimedia learning. Therefore this research develops the PAI teaching material QS al-Fil material for multimedia-based class IV. The method used in this research development is the Research and Development (R and D) method which refers to the Borg and Gall development procedure, with steps as follows: 1) Potential Problems, 2) Data collection, 3) Initial product design, 4) Validation design through FGDs and experts, 5) Design revisions, 6) Product trials. Primary data in this study include interviews, validation sheets (FGD and expert validation),tests to students, and questionnaires to teachers. The secondary data obtained from documentation, books, theses and journals related to research. The results of this study are 1) produce a product namely PAI teaching material QS al-Fil material for classIV SDN 17 Muara Sugihan based on multimedia, 2) expert validation includes material expert validation and application expert validation with an average score of 95% in the very category worthy. 3) the product trial results to see the effectiveness of the product showed a significant difference between before and after the use of the product, namely student learning outcomes increased after the use of the product, while in practicality tests, the practicality of teaching materials tried out for six users obtained an average score 94% with a very decent category.  

scholarly journals PENGEMBANGAN PERANGKAT PEMBELAJARAN BERBASIS INKUIRI TERBIMBING UNTUK MELATIH LITERASI SAINS SISWA

2017 ◽  
Vol 5 (1) ◽  
pp. 822
Author(s):  
Sri Sumarti ◽  
Yuni Sri Rahayu ◽  
Madlazim Madlazim
Keyword(s):  
Learning Outcomes ◽  
Scientific Literacy ◽  
Lesson Plan ◽  
Student Learning Outcomes ◽  
Teaching Material ◽  
Guided Inquiry ◽  
Teaching Materials ◽  
Analysis Techniques ◽  
Quantitative Descriptive ◽  
The Individual

This research aims to develop guided inquiry based teaching materials which is valid, practical, and effective to facilitate the students’ scientific literacy. The development of teaching material used the 4D model  and was tested in grade 7th-D of SMP GEMA 45 in the second semester of  2014/2015 by using the Pre-Experimental One-Group Pretest-Posttest Design. The data collection used documentation observation, test, and quetionnaires. The data analysis techniques used quantitative descriptive analysis.The results of this research are:1) Teaching material developed is valid categorised  to be use consisted of Syllabus, Lesson Plan, Student Worksheet, Student Book and Test of student learning outcomes; 2) The practicality of teaching material in terms of a good category in feasibility of lesson plans, the students’ activities in accordance with  inquiry model and students give a positive responses toward teaching material and implementation of teaching material developed; and 3) The teaching material effectiveness in terms of: (a) Improving students’ learning achievement seen from the individual and classical completeness; (b) Improving students’ scientific literacy by getting gain score between middle until high category. Based on data analyzed the teaching materials based on guided inquiry are valid, practical, and effective to facilitate the students’ scientific literacy. Penelitian ini bertujuan untuk menghasilkan perangkat pembelajaran berbasis inkuiri terbimbing yang layak (valid, praktis, dan efektif) untuk melatih literasi sains siswa. Pengembangan perangkat pembelajaran menggunakan model 4D  dan diujicobakan di kelas VII-D SMP GEMA 45 semester genap tahun ajaran 2014/2015 dengan One-Group Pretest-Posttest Design. Pengumpulan data menggunakan metode dokumentasi, observasi, tes, dan angket. Teknik analisis data menggunakan analisis deskriptif kuantitatif. Hasil penelitian ini menunjukkan,: 1) Perangkat pembelajaran yang dikembangkan berkategori valid; 2) Perangkat pembelajaran berketagori praktis ditinjau dari keterlaksanaan RPP, aktivitas siswa sesuai dengan tahap-tahap model inkuiri, dan siswa merespon positif perangkat yang dikembangkan dan implementasinya; serta 3) Perangkat pembelajaran telah efektif ditinjau dari: (a) Peningkatan pengetahuan siswa (b) Peningkatan literasi sains  siswa. Berdasarkan hasil analisis data dapat disimpulkan bahwa perangkat pembelajaran berbasis  inkuiri terbimbing yang dikembangkan valid, praktis, dan efektif untuk melatih literasi sains siswa sehingga layak untuk digunakan.

scholarly journals TEACHING MATERIAL DEVELOPMENT "PRACTICAL GUIDELINES FOR READING AL-QUR’AN" IN LEARNING AL-QUR’AN AT GRIYA AL-QUR’AN OF SURABAYA

2018 ◽  
Vol 2 (2) ◽  
Author(s):  
Khoirul Huda
Keyword(s):  
Test Validity ◽  
Teaching Material ◽  
Teaching Materials ◽  
Qualitative And Quantitative ◽  
Material Development ◽  
The Third ◽  
Stage Of Development ◽  
Assessment Systems ◽  
Practical Guidelines ◽  
Implementation Stage

The manuscripts of Qur'an that are scattered around us are divided into 2 types  i.e. Indonesian standard manuscripts and the Middle East or Madinah standard, the development of these two manuscripts is not balanced with the refining of teaching materials or the Qur'anic learning method, 90% of the methods refer to Indonesian standard manuscripts and the rest refer to Mushaf Madinah. This challenge was answered by the Griya Al-Qur’an to provide a method that refers to the Mushaf Madinah which has been running for 7 years and has printed 14,000 books that should have been revised as soon as the input from the user (asatizah). The three problems became the study of this thesis. First, how to describe the learning of the Qur'an? Second, how to develop teaching material? And third what is the effectiveness of teaching materials?. This study used an R & D approach or in practice mixed between qualitative and quantitative, qualitative to measure the depth of the material as well as quantitatively to measure validity and effectiveness of teaching materials. The results of the study were as follows: First, the Qur'an Learning should pay attention to 7 components of learning namely goals, material, students, teachers, methods, tools and assessment systems. Second, to develope this teaching material, the ADDIE stage was analyzed, the results of which were revised focus on adding volume 1 and changing the paper size, designed by making a re-design of the material based on the analysis results and preparing the Mushaf Madinah printing software with the Usmani hafs V09 font, Development by implementing what has been designed and invited material experts and instructional media experts to test validity with the results of the experts' values of 80% and 76%, respectively, which meant valid. The third was to measure effectiveness through the implementation stage by conducting a trial with the pretest result of 33% and posttest of 79% which meant that this teaching material was effective and ended with evaluation by evaluating each stage of development. Keywords: Teaching materias Development , Griya Al-Qur’an, Qur'an Learning

The SVD-Fundamental Theorem of Linear Algebra

2006 ◽  
Vol 11 (2) ◽  
pp. 123-136 ◽  
Author(s):  
A. G. Akritas ◽  
G. I. Malaschonok ◽  
P. S. Vigklas
Keyword(s):  
Linear System ◽  
Linear Algebra ◽  
Fundamental Theorem ◽  
Gaussian Elimination ◽  
Linear Equations ◽  
Orthogonal Complement ◽  
Schmidt Method ◽  
Orthonormal Bases ◽  
Svd Analysis ◽  
Systems Of Linear Equations

Given an m × n matrix A, with m ≥ n, the four subspaces associated with it are shown in Fig. 1 (see [1]). Fig. 1. The row spaces and the nullspaces of A and AT; a1 through an and h1 through hm are abbreviations of the alignerframe and hangerframe vectors respectively (see [2]). The Fundamental Theorem of Linear Algebra tells us that N(A) is the orthogonal complement of R(AT). These four subspaces tell the whole story of the Linear System Ax = y.  So, for example, the absence of N(AT) indicates that a solution always exists, whereas the absence of N(A) indicates that this solution is unique. Given the importance of these subspaces, computing bases for them is the gist of Linear Algebra. In “Classical” Linear Algebra, bases for these subspaces are computed using Gaussian Elimination; they are orthonormalized with the help of the Gram-Schmidt method. Continuing our previous work [3] and following Uhl’s excellent approach [2] we use SVD analysis to compute orthonormal bases for the four subspaces associated with A, and give a 3D explanation. We then state and prove what we call the “SVD-Fundamental Theorem” of Linear Algebra, and apply it in solving systems of linear equations.

scholarly journals Management of Teaching Material Development Competency-Based to Increase Life Skill Vocational High School Students

2021 ◽  
Vol 3 (1) ◽  
pp. 44-50
Author(s):  
Ujang Nurjaman ◽  
Heru Sujiarto ◽  
N. Dede Khoeriyah ◽  
Ahmad Khori
Keyword(s):  
High School ◽  
Data Analysis ◽  
Development Program ◽  
Teaching Material ◽  
Vocational High School ◽  
Teaching Materials ◽  
Business World ◽  
Analysis Techniques ◽  
Material Development ◽  
Competency Based

This study aims to  determine the  competency-based  teaching materials development program to improve student life skills, implementation, problems and challenges, and future improvement steps. The method used in this research is descriptive qualitative. This research was conducted at the Ma'arif Nahdotul Ulama Vocational High School, Garut Regency, West Java Province. The data collection techniques were interviews and documentation, while the data analysis techniques used were qualitative data analysis techniques using an inductive approach. The research results are: First, the teaching material development program carried out is planning  development  quality  objectives,  establishing  a  School  Activity Plan, collaborating with the business world and the industrial world. Second, the  implementation  is  that  the  partnership  relationship  is  not  optimal. Implementing the guidelines for the development of teaching materials is not optimal. Good management is needed in implementing the results of the development of teaching materials, and an additional budget is required. Third, the problems faced are poor management of school principals, inadequate curriculum development and cooperation,  preliminary school budgets, a productive syllabus that needs to be developed, and industrial practices for production are not optimal. Simultaneously, the future challenges are the student resources managing the partnership, the students' character, and  the demands for  practical facilities that require special attention.  Fourth, the  corrective  steps  are that the regulation of material development needs particular attention, additional budget is needed, the apprenticeship material must adjust to the productive syllabus, quality learning, improved competency tests, the competence of educators needs to be improved, optimizing the acceptance of new students, completing facilities and infrastructure.

scholarly journals PENGEMBANGAN BAHAN AJAR IPA TERPADU PADA TEMA KELISTRIKAN PADA MAKHLUK HIDUP DENGAN MENGGUNAKAN METODE FOUR STEP TEACHING MATERIAL DEVELOPMENT (4STMD)

2019 ◽  
Author(s):  
Deti Lotaningrat
Keyword(s):  
Science Teaching ◽  
Knowledge Integration ◽  
Instructional Materials ◽  
Teaching Material ◽  
Teaching Materials ◽  
Material Development ◽  
Stage Of Development ◽  
Living Things ◽  
Development Data ◽  
Development Evaluation

This study aims to develop integrated science teaching materials on the theme "Electricity in Living Creatures" by using the Four Step Teaching Material Development Method (4STMD) which includes the Selection, Structuring, Categorization and Reduction of Dactic stages. This research uses Research and Development (R & D) methods. The subject of this study is all science teaching materials on the theme of electricity in living things studied using the 4STMD method. The data in this study were captured by using various types of instruments that were rationally validated (logical) and empirical (empirical) by experts at each stage of development. Data from expert validation were analyzed using CVR and CVI and percentage analysis. The opinions of students regarding the instructional materials developed and the feasibility of the developed teaching materials were collected using questionnaires. As a development evaluation material in the development of teaching materials, the effectiveness of instructional materials on the thinking ability of knowledge integration in students is also tested. As a comparison, also tested the effectiveness of other teaching materials. The effectiveness test results show that students who use teaching materials developed using the 4STMD method have a higher score (65) compared to students who use other teaching materials (60).

Sign in / Sign up

Export Citation Format

Share Document