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                        PEMBERIAN SCAFFOLDING UNTUK MENGATASI HAMBATAN BERPIKIR SISWA DALAM MEMECAHKAN MASALAH ALJABAR 
                    
                    Khusnil Khatimah; 
Cholis Sadijah; 
Hery Susanto                    
                     Jurnal Kajian Pembelajaran Matematika Vol 1, No 1 (2017): Jurnal Kajian Pembelajaran Matematika 
                    
                    Publisher : FMIPA UNIVERSITAS NEGERI MALANG 
                    
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This research objective is to describe students’ thinking barriers and to describe given scaffolding to overcome students’ experienced thinking barriers. This is a descriptive qualitative research. Research subjects is 2 students whose thinking capability is high and low. Documents being studied are students’ test result, unstructured interviews transcripts, ands scaffolding. This research demonstrates that subject 1 (S1) barriers are caused by the lack of analogical thinking capability on understanding problem, the low connecting capability when implementing solving plan, and the lack of existing knowledge and connection capability on re-examine planned procedure on problem solving. Subject 2 (S2) thinking barriers are caused by the low analogical capability in understanding problem, the lack of connecting capability when planning problem solving strategy, the lack of analogical capability in planning problem solving, and the lack of prior knowledge and connection in re-examine chosen procedure. Adjusting Anghileri’s scaffolding, S1 was given scaffolding at a rate of explaining and developing conceptual thinking, while S2 was given scaffolding at a rate of explaining, reviewing, restructuring, and developing conceptual thinking.
                            
                         
                     
                 
                
                            
                    
                        Pengembangan Media Box Mengenal Bilangan dan Operasinya Bagi Siswa Kelas 1 Di SDN Gadang 1 Kota Malang 
                    
                    Martini Dwi Purnama; 
Edy Bambang Irawan; 
Cholis Sadijah                    
                     Jurnal Kajian Pembelajaran Matematika Vol 1, No 1 (2017): Jurnal Kajian Pembelajaran Matematika 
                    
                    Publisher : FMIPA UNIVERSITAS NEGERI MALANG 
                    
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Learning mathematics in grade 1 using pieces of instructional media will generate motivation, stimulating learning activities, abstract concept and bring the psychological effects of a child. This study aims to generate media box material to know numbers and operations are valid, practical, effective and attractive. The model of development used modification 4D model developed by Thiagarajan. Validation results declared invalid by subject matter experts and very valid by media experts. Practicality and attractiveness of the product reaches 94 % categorized as very practical and very attractive. While the effectiveness of a product is marked with the positive response of students who achieve mastery of at least about 82 %
                            
                         
                     
                 
                
                            
                    
                        PENGEMBANGAN BAHAN AJAR BERCIRIKAN PENEMUAN TERBIMBING DAN BERBANTUAN APLIKASI PADA MATERI UNTUK KELAS X SMK 
                    
                    Zukhrufurrohmah Zukhrufurrohmah; 
Cholis Sadijah; 
Makbul Muksar                    
                     Jurnal Kajian Pembelajaran Matematika Vol 1, No 2 (2017): Jurnal Kajian Pembelajaran Matematika 
                    
                    Publisher : FMIPA UNIVERSITAS NEGERI MALANG 
                    
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Tujuan penelitian ini adalah mengembangkan bahan ajar berupa Lembar Kegiatan Siswa (LKS) bercirikan guided discovery dan berbantuan aplikasi grapher pada materi fungsi kuadrat untuk kelas X SMK yang valid, praktis dan efektif. Pengembangan bahan ajar bercirikan guided discovery dipilih karena berdasarkan hasil obsevasi peneliti, kegiatan pembelajaran perlu didukung dengan adanya bahan ajar sehingga siswa dapat aktif dalam pembelajaran. Sedangkan penggunaan aplikasi grapher diharapkan dapat membantu siswa menemukan konsep karakteristik grafik fungsi kuadrat dan mengarahkan hasil kecanggihan teknologi pada pembelajaran. Langkah pengembangan mengacu pada model pengembangan Plomp (2010:15). Langkah pertama, preliminary reseach, dilakukan peneliti dengan melakukan pengamatan kelas hingga diperoleh simpulan perlu adanya bahan ajar becirikan guided discovery dan berbantuan aplikasi grapher pada pembelajaran materi fungsi kuadrat. Langkah kedua, prototyping phase, dilakukan dengan merancang, membuat kemudian memvalidasi LKS, RPP dan instrumen penelitian. Langkah ketiga, assessment phase, dilakukan dengan menguji coba kepraktisan dan keefektifan bahan ajar pada pembelajaran. Berdasarkan hasil pengembangan diperoleh bahan ajar berupa LKS bercirikan guided discovery dan berbantuan aplikasi grapher pada materi fungsi kuadrat untuk kelas X SMK yang valid, memiliki nilai kepraktisan tinggi dan tingkat keefektifan yang baik
                            
                         
                     
                 
                
                            
                    
                        Assessing students’ errors in mathematical translation: From symbolic to verbal and graphic representations 
                    
                    Nurrahmawati Nurrahmawati; 
Cholis Sa'dijah; 
Sudirman Sudirman; 
Makbul Muksar                    
                     International Journal of Evaluation and Research in Education (IJERE) Vol 10, No 1: March 2021 
                    
                    Publisher : Institute of Advanced Engineering and Science 
                    
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                                DOI: 10.11591/ijere.v10i1.20819                            
                                            
                    
                        
                            
                            
                                
Translation skills are very important possessed by students, but currently, there are still many students who have difficulty in translating between representations. The purpose of this study is to analyze students' errors in translating from symbolic representations to verbal and graphic representations. This research was descriptive study with qualitative approach. Tests are given to junior high school students. From the results of data analysis, it is obtained that in translating from symbolic to verbal forms (problems in daily life) that are following the given system of equations, students are still unable to make representations correctly. When students are asked to translate into graphical form, students are still unable to draw complete graphs and errors made by students are misinterpretation and implementation errors, so they cannot maintain the semantic congruence between source representation and target representation. Based on this, it is necessary to make a learning plan that can improve students’ ability to translate between representations.
                            
                         
                     
                 
                
                            
                    
                        Penerapan Model Pembelajaran Matematika Melalui Pemecahan Masalah untuk Meningkatkan Penalaran Matematis Siswa Kelas X-A SMA Al-Muslimun 
                    
                    Maimunah Maimunah; 
Purwanto Purwanto; 
Cholis Sa’dijah; 
Sisworo Sisworo                    
                     JRPM (Jurnal Review Pembelajaran Matematika) Vol. 1 No. 1 (2016) 
                    
                    Publisher : Department of Mathematics Education, Faculty of Tarbiyah and Teacher Training, UIN Sunan Ampel Surabaya 
                    
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                                DOI: 10.15642/jrpm.2016.1.1.17-30                            
                                            
                    
                        
                            
                            
                                
The purpose of this study to improve students mathematical reasoning with the application of teaching mathematics through problem solving. This models consist of four fase, that is: giving problems, investigation, presentation results, and evaluation results. Method of research is quasi experimental is implemented in class X-A SMA Al Muslimun Pelalawan Riau. Subject of this study were 19 students who divided into groups of 4-5 students with the capability of high, medium, and low. The instrument used was a test and observation. In the pretest result there were 10 students with sufficient reasoning and good criteria. While on the posttest there were 19 students with the criterion of mathematical reasoning is good. No students obtains criterion of mathematical reasoning is very good in two test.
                            
                         
                     
                 
                
                            
                    
                        Penerapan Model Discovery Learning Berbantuan Video Pembelajaran untuk Meningkatkan Hasil Belajar Matematika 
                    
                    Eka Damayanti; 
Susiswo Susiswo; 
Cholis Sa’dijah                    
                     JMPM: Jurnal Matematika dan Pendidikan Matematika Vol 7, No 1 (2022): Maret - Agustus 2022 
                    
                    Publisher : Universitas Pesantren Tinggi Darul Ulum Jombang 
                    
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                                DOI: 10.26594/jmpm.v7i1.2595                            
                                            
                    
                        
                            
                            
                                
Penelitian ini bertujuan untuk menggambarkan penerapan discovery learning berbantuan video pembelajaran yang dapat meningkatkan hasil belajar matematika. Penelitian ini merupakan Penelitian Tindakan Kelas (PTK) yang diselesaikan dalam dua siklus dengan tahapan persiapan, pelaksanaan, observasi, dan refleksi. Subjek penelitian ini adalah 32 siswa kelas X MM SMK Negeri Puspo. Hasil penelitian menunjukkan bahwa discovery learning berbantuan video pembelajaran yang dapat meningkatkan hasil belajar peserta didik meliputi pemberian stimulus, identifikasi masalah, pengumpulan data, pengolahan data, pembuktian (verifikasi), dan penarikan kesimpulan. Dari penerapan discovery learning berbantuan video pembelajaran diperoleh peningkatan hasil belajar dari siklus I ke siklus II dengan rata-rata hasil belajar dari 73,28 ke 80,16 dan ketuntasan belajar dari 62,5 % ke 87,5%.
                            
                         
                     
                 
                
                            
                    
                        KESALAHAN REPRESENTASI PECAHAN PADA GARIS BILANGAN 
                    
                    Tatik Retno Murniasih; 
Cholis Sadijah; 
Makbul Muksar; 
Susiswo Susiswo; 
Vivi Suwanti                    
                     AKSIOMA: Jurnal Program Studi Pendidikan Matematika Vol 9, No 2 (2020) 
                    
                    Publisher : UNIVERSITAS MUHAMMADIYAH METRO 
                    
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                                DOI: 10.24127/ajpm.v9i2.2740                            
                                            
                    
                        
                            
                            
                                
Penelitian tentang analisis kesalahan representasi pecahan calon guru matematika penting karena pecahan berguna dalam kehidupan sehari-hari. Tujuan penelitian untuk menyelidiki kesalahan calon guru matematika dalam representasi tugas kepekaan pecahan pada garis bilangan. Tipe kesalahan dan indikator menunjukkan keterampilan representasi pecahan. Penelitian ini menggunakan pendekatan deskriptif kualitatif dengan 19 calon guru matematika sebagai calon subjek. Wawancara dilakukan pada 5 subjek yang dipilih. Pada wawancara, kami meminta mereka untuk mendeskripsikan jawaban mereka dalam merepresentasikan tugas kepekaan pecahan pada garis bilangan dan faktor-faktor yang menyebabkan kesalahan. Hasil penelitian menunjukkan dua kesalahan terbesar pada calon guru matematika, yaitu tidak terampil menggunakan estimasi, dan tidak terampil menggunakan benchmark. Temuan lain menunjukkan lebih banyak calon guru matematika yang melakukan kesalahan dalam representasi pecahan negatif daripada pecahan positif pada garis bilangan. Hal ini disebabkan adanya hambatan kognitif calon guru matematika dari pengetahuan sebelumnya dalam domain pecahan positif  ketika  diterapkan pada domain pecahan negatif. Sehingga lebih banyak calon guru matematika yang melakukan kesalahan dalam representasi pecahan negatif daripada pecahan positif pada garis bilangan. Faktor-faktor penyebabkan kesalahan representasi dari penugasan kepekaan pecahan pada garis bilangan adalah calon guru menganggap materi pecahan sulit, sulit membayangkan pecahan, mengalami kebingungan dan lupa dengan materi pecahan. Intervensi berbantuan media direkomendasikan untuk mengatasi ketidakmampuan calon guru menggunakan estimasi dan bencmark terutama dalam domain pecahan negatif.
                            
                         
                     
                 
                
                            
                    
                        BERPIKIR KRITIS CALON GURU DALAM MENYELESAIKAN MASALAH KONTROVERSIAL MATEMATIKA DENGAN MENGGUNAKAN HIGH ORDER THINKING SKILLS 
                    
                    Alfiani Athma Putri Rosyadi; 
Cholis Sadijah; 
Susiswo Susiswo; 
Swasono Rahardjo                    
                     AKSIOMA: Jurnal Program Studi Pendidikan Matematika Vol 10, No 4 (2021) 
                    
                    Publisher : UNIVERSITAS MUHAMMADIYAH METRO 
                    
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                                DOI: 10.24127/ajpm.v10i4.4082                            
                                            
                    
                        
                            
                            
                                
Abstrak Penelitian ini bertujuan untuk mendeskripsikan proses berpikir kritis calon guru dalam menyelesaikan masalah kontroversial matematika dengan menggunakan High Order Thinking Skills. Penelitian ini menggunakan jenis penelitian studi kasus dengan pendekatan kualitatif. Subjek penelitian dalam penelitian ini adalah calon guru yang mengalami kontroversial setelah menyelesaikan masalah kontroversial yang diberikan. Instrumen penelitian yang digunakan adalah tes dan wawancara. Teknik analisis data yang digunakan adalah reduksi data, penyajian data dan penarikan kesimpulan. Proses berpikir dalam menyelesaikan masalah kontroversial matematika terdiri dari aspek identifying, connecting, applying, argumentation dan clarifying. Pada saat menggunakan HOTS untuk mengetahui proses berpikir kritisnya diperoleh kesimpulan bahwa tahap analisis terjadi pada saat calon guru identifying dan connecting. Untuk aspek evaluasi terjadi pada saat calon guru melakukan proses applying. Untuk aspek mencipta, terjadi pada saat calon guru menggunakan argumentation  and clarifying dalam menyelesaikan masalah yang diberikan. Kata kunci: Berpikir kritis; calon guru matematika; high order thinking skills;  masalah kontroversial. Abstract This study aims to describe the critical thinking process of prospective teachers in solving controversial mathematics problems using High Order Thinking Skills. This research uses a case study research type with a qualitative approach. The research subjects in this study were prospective teachers who experienced controversy after solving a given controversial problem. The research instruments used were tests and interviews. The data analysis technique used is data reduction, data presentation and conclusion drawing. The thinking process in solving controversial mathematical problems consists of identifying, connecting, applying, argumentation and clarifying aspects. When using HOTS to determine the critical thinking process, it can be concluded that the analysis stage occurs when the prospective teacher is identifying and connecting. For the evaluation aspect, it occurs when the prospective teacher does the applying process. For the creative aspect, it occurs when prospective teachers use argumentation and clarifying in solving the problems given. Keywords: Critical Thinking; Mathematics Prospective Teacher; High Order Thinking Skills; Controversial Issues.
                            
                         
                     
                 
                
                            
                    
                        NEEDS ANALYSIS OF THE DEVELOPMENT STUDENT WORKSHEET BASED BLENDED LEARNING TO ENCOURAGE MATHEMATICAL LITERACY 
                    
                    Risa Utaminingsih; 
Cholis Sa’dijah; 
Abd. Qohar                    
                     AKSIOMA: Jurnal Program Studi Pendidikan Matematika Vol 10, No 3 (2021) 
                    
                    Publisher : UNIVERSITAS MUHAMMADIYAH METRO 
                    
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                                DOI: 10.24127/ajpm.v10i3.3718                            
                                            
                    
                        
                            
                            
                                
Mathematical literacy is the ability of students to carry out activities formulate, apply, and interpret & evaluate mathematics in various contexts. This study aims to analyze the needs of student worksheet development which can stimulate students' mathematical literacy. This type of research is a qualitative descriptive study involving 15 students of class XI MIPA and 2 mathematics teachers of SMA Negeri 1 Gresik. This needs analysis includes material analysis, curriculum analysis, and student analysis. The results showed that one of the difficult mathematics materials for class XI MIPA was linear program, mathematics learning was carried out according to the 2013 Curriculum with the application of Blended Learning in the new normal era, and students still had difficulty solving problems on indicators of interpreting & evaluating mathematical process abilities. Therefore, Student Worksheet based Blended Learning will be developed which is more focused on activities that prioritize the interpretation and analysis of problem solving results according to the limitations and context of the problem in the Linear Program material.
                            
                         
                     
                 
                
                            
                    
                        Exploration on students’ understanding layers in solving arithmagon problems 
                    
                    Cholis Sa'dijah; 
Sri Rahayuningsih; 
Sukoriyanto Sukoriyanto; 
Abd. Qohar                    
                     Jurnal Cakrawala Pendidikan Vol 41, No 1 (2022): Cakrawala Pendidikan (February 2022) 
                    
                    Publisher : LPMPP Universitas Negeri Yogyakarta 
                    
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                                DOI: 10.21831/cp.v41i1.33837                            
                                            
                    
                        
                            
                            
                                
The research aims at exploring the characteristics of ‘don’t need’ boundaries of students in solving arithmagon problems using qualitative descriptive approach. The participants win this research are 23 eight-grader junior high school students. The research used the instruments including test questions and unstructured interviews. The data collection procedure began with giving test questions to 23 participants. All of them could make mathematical diagrams/drawings/model precisely according to the information presented from the problem. The student who used effective and clear sentences in solving problems though could not solve the problem in a structured manner is called as Subject 1 (S1).  The student who did not use effective and clear structured sentences is called as Subject 2 (S2). The student who used effective and clear sentences as well as structured in solving problems is called Subject 3 (S3).  This research used triangulation method by exploring data obtained from the test and interview results. According to the research result, it is concluded that S1 crossed the first ‘don’t need’ boundaries when solving the addition and multiplication arithmagon problems. S2 crossed the first and second “don’t need” boundaries when solving addition arithmagon problem and only crossed the first ‘don’t need’ boundaries in solving multiplication arithmagon problems. However, S3 crossed the second ‘don’t need’ boundaries in solving arithmagon problem of addition and multiplication. Through this research, it is hoped that further research will be able to find and explore the third ‘don’t need’ boundaries in solving mathematical problems.