scholarly journals The Hypothetical Learning Trajectory on Addition in Mathematics GASING

2015 ◽  
Vol 5 (1) ◽  
pp. 49-62
Author(s):  
Rully Charitas Indra Prahmana
Keyword(s):  
Retrospective Analysis ◽  
Research Method ◽  
Design Research ◽  
Learning Trajectory ◽  
Preliminary Design ◽  
Hypothetical Learning Trajectory ◽  
Formal Level ◽  
Is Design ◽  
Teaching Experiments

The purpose of this study is to look at the role of using Mathematics GASING (Math GASING) to help students understand and master the addition concept from the informal level (concrete) to the formal level. The research method used is design research with a preliminary design, teaching experiments, and retrospective analysis stages. This study describes how the Math GASING made a real contribution for students understanding of the concept of addition. The whole strategy and model that requires students to discover, to describe, and to discuss during the construction phase demonstrates how students can use their initial understanding of the addition concept. The stages in the learning trajectory have an important role in understanding the addition concept from informal level to formal level and also make the study of mathematics more easy, fun, and enjoyable.

scholarly journals THE INNOVATION OF LEARNING TRAJECTORY ON MULTIPLICATION OPERATIONS FOR RURAL AREA STUDENTS IN INDONESIA

2019 ◽  
Vol 10 (3) ◽  
pp. 397-408 ◽  
Author(s):  
Heris Hendriana ◽  
Rully Charitas Indra Prahmana ◽  
Wahyu Hidayat
Keyword(s):  
Basic Concept ◽  
Research Method ◽  
Design Research ◽  
Teaching Experiment ◽  
Learning Trajectory ◽  
Preliminary Design ◽  
Student Difficulties ◽  
Design Learning ◽  
Teaching Design ◽  
Formal Level

The rural area's student difficulties in learning the concept of number operation had been documented by several studies, especially for the case of multiplication. The teacher typically introduces the multiplication concepts using the formula without involving the concept itself. Furthermore, this study aims to design learning trajectory on multiplication operations in the Mathematics of GASING (Math GASING) by focusing more on the concept itself than the formula and by starting from the informal to a formal level of teaching. Design research used as the research method to solve this problem consisting of three phases, namely preliminary design, teaching experiment, and retrospective analysis. The research results show that the Math GASING has a real contribution for students to understanding and mastering in the concept of the multiplication operations. This research also explains the strategy and the model discovered by students in learning multiplication that the students used as a basic concept of multiplication. Finally, the students were able to understand the concept of multiplication more easily, and they showed interest in using this learning trajectory.

scholarly journals PEMANFAATAN KONTRIBUSI SISWA SEBAGAI ALAT TRANSISI MENUJU PEMAHAMAN KONSEP OPERASI PECAHAN

2018 ◽  
Vol 9 (1) ◽  
Author(s):  
Gregorius Sebo Bito
Keyword(s):  
Retrospective Analysis ◽  
Learning Process ◽  
Design Research ◽  
Teaching Experiment ◽  
Learning Trajectory ◽  
Fourth Grade Students ◽  
Hypothetical Learning Trajectory ◽  
Three Stages ◽  
Actual Learning ◽  
Is Design

The purpose of this study was to describes the use of student’s contribution as a transition tool at each level of learning the fraction operation concept. This study involved fourth grade students of an elementary school in Ngada East Nusa Tenggara. The type of this research is Design Research with three stages, namely: initial design, teaching experiment and retrospective analysis. This research begins conduct a hypothetical learning trajectory (HLT) of fraction operations concept. The HLT has been tested before the actual learning process (ALT). The results of the retrospective analysis obtained an overview of the Actual Learning Trajectory (ALT) show that the use of various student’s contribution at each level of learning can lead to understanding the fraction operation concept.

scholarly journals Desain Pembelajaran Kerucut Berkonteks Tradisi Megono Gunungan

Jurnal Elemen ◽  
2021 ◽  
Vol 7 (1) ◽  
pp. 19-28
Author(s):  
Farida Nursyahidah ◽  
◽  
Bagus Ardi Saputro ◽  
Irkham Ulil Albab ◽  
◽  
...  
Keyword(s):  
Retrospective Study ◽  
Research Method ◽  
Interactive Video ◽  
Design Research ◽  
Learning Trajectory ◽  
Realistic Mathematics Education ◽  
Preliminary Design ◽  
Realistic Mathematics ◽  
Learning Mathematics ◽  
Is Design

Geometry is an essential subject for students. However, geometry, especially the cone, remains a challenging material for students. Besides, we need the proper media and context for learning mathematics on cone material. This research aims to develop a learning trajectory that utilizes the Megono Gunungan tradition as a context in the learning process using the Indonesian Realistic Mathematics Education (PMRI) approach. The research method used is Design Research, which consists of three phases of the study: preliminary design, experimental design, and retrospective study. This study's outcome is designing a learning trajectory on cone material using the Megono Gunungan tradition. This learning trajectory comprises four activities, including observing the interactive video of the Megono Gunungan tradition to discover cone elements, finding the concept surface area of a cone using origami paper, and grasping the cone concept volume with magic seeds, and solving contextual problems related to the cone. Studies have shown that using the Megono Gunungan context could help students improve their understanding of the cone concept. Furthermore, this study hoped could be an inspiration for exploring another local wisdom that can be a context in learning mathematics.

scholarly journals Design Pembelajaran Matematika Dengan Pendekatan Stem (Science, Technology, Engineering, Mathematics)

AKSIOMA ◽  
2020 ◽  
Vol 11 (1) ◽  
pp. 37-52
Author(s):  
Eva Susanti ◽  
Haris Kurniawan
Keyword(s):  
Retrospective Analysis ◽  
Design Research ◽  
Project Based Learning ◽  
Learning Trajectory ◽  
Design Experiment ◽  
Preliminary Design ◽  
Science Technology ◽  
Engineering Mathematics ◽  
Hypothetical Learning Trajectory ◽  
Science Technology Engineering Mathematics

Penelitian ini bertujuan untuk menghasilkan lintasan belajar siswa pada materi pelajaran matematika pola bilangan berdasarkan pembelajaran Project Based Learning (PjBL) dengan pendekatan STEM (science, Technology, Engineering, mathematics). Penelitian ini merupakan penelitian design research yang terdiri dari tiga tahapan, yaitu : preliminary design, design experiment,  retrospective analysis. Subjek penelitian terdiri dari 32 siswa kelas VIII.7 SMP Negeri 27 Palembang. Pengumpulan data dilakukan menggunakan lembar observasi, wawancara, rekaman video, foto, dan lembar aktivitas siswa. Semua data dikumpulkan dan dianalisis secara retrospective yang beracuan pada HLT (Hypothetical Learning Trajectory). Hasil analisis data menyimpulkan bahwa peneltian ini telah menghasilkan lintasan belajar materi pola bilangan kelas VIII yang valid dan reliable. Validitas tergambar dari HLT dan trackability. Dan reabilitas dilihat dari triangulasi data yang dilihat dari catatan lapangan, lembar observasi, dan rekaman video. Dari hasil analisis data disimpulkan bahwa lintasan belajar materi pola bilangan model pembelajaran PjBL pendekatan STEM membuat aktivitas pembelajaran siswa lebih aktif dan antusias, mengajak siswa untuk kreatif dalam berkreasi, aktif dalam berdiskusi, dan siswa memiliki kemampuan komunikasi presentasi atas hasil kerja kelompoknya menyelesaikan tugas proyek.

scholarly journals DESAIN PEMBELAJARAN GARIS DAN SUDUT DENGAN KONTEKS PAGAR BULUH DI KELAS VII

2018 ◽  
Vol 1 (1) ◽  
pp. 118-130
Author(s):  
Widiawati W. ◽  
Dodi Marzal ◽  
Hariani Juwita
Keyword(s):  
Retrospective Analysis ◽  
Validation Studies ◽  
Design Research ◽  
Learning Trajectory ◽  
Design Experiment ◽  
Preliminary Design ◽  
Hypothetical Learning Trajectory ◽  
Research Type

Tujuan penelitian ini adalah untuk menghasilkan lintasan belajar dalam membantu siswa pada pembelajaran garis dan sudut dengan konteks pagar buluh. Metode yang digunakan dalam penelitian ini adalah design research type validation studies dengan mengujikan 6 siswa sebelum melibatkan 34 siswa kelas VII MTs Negeri Jambat Balo Pagaralam dengan dugaan lintasan belajar atau Hypothetical Learning Trajectory (HLT). Kemudian HLT tersebut dikembangkan dan seperangkat aktivitas diterapkan untuk memperoleh pemahaman yang lebih baik tentang bagaimana mengembangkan pemahaman materi garis dan sudut melalui tiga tahap, yaitu preliminary design, the design experiment, dan retrospective analysis. Penelitian yang dilakukan menghasilkan learning trajectory yang terdiri dari serangkaian proses pembelajaran dalam tiga aktivitas yaitu membuat pagar buluh, menyelesaikan masalah pada materi garis, dan menyelesaikan masalah pada materi sudut. Hasil penelitian menunjukkan bahwa dengan menggunakan konteks pagar buluh siswa dapat memahami konsep-konsep dalampembelajaran garis dan sudut serta siswa dapat menyelesaikan masalah-masalah yang berkaitan dengan materi garis dan sudut pada kehidupan sehari-hari.

scholarly journals DESAIN PEMBELAJARAN MATERI HUBUNGAN ANTAR GARIS YANG MENDUKUNG PEMAHAMAN KONSEP SISWA

2021 ◽  
Vol 5 (1) ◽  
pp. 60
Author(s):  
Rika Firma Yenni ◽  
Malalina Malalina
Keyword(s):  
Retrospective Analysis ◽  
Design Research ◽  
Teaching Experiment ◽  
Learning Trajectory ◽  
Design Experiment ◽  
Preliminary Design ◽  
Instructional Theory ◽  
Pilot Experiment ◽  
Starting Point ◽  
Hypothetical Learning Trajectory

Peran guru tak lebih dari seorang fasilitator, moderator atau evaluator. sedangkan peran siswa lebih banyak aktif untuk berfikir dan mengkomunikasikan argumentasinya, menjustifikasi jawaban, serta melatih nuansa demokrasi dengan menghargai pendapat atau strategi teman lain. Penelitian ini bertujuan menghasilkan Local Instructional Theory (LIT) dalam pembelajaran materi hubungan antar garis yang mendukung pemahaman konsep siswa di kelas IV Sekolah Dasar. Pada materi ini, menuntut siswa dapat menyelesaikan permasalahan hubungan antar garis secara kontekstual. Subjek penelitian adalah siswa kelas IV MI Fajar Siddiq Palembang. Metode yang digunakan adalah design research terdiri dari tiga tahap, yaitu: preliminary design, design experiment (pilot experiment dan teaching experiment), dan retrospective analysis. Namun pada penelitian ini hanya dilakukan sampai pada tahap pilot experiment. Penelitian ini mengembangkan hasil pembelajaran hubungan antar garis dengan menunjukkan aktivitas dan prosedur serta strategi siswa dalam menemukan ide atau strategi dalam mendeskripsikan materi hubungan antar garis. Pada bagian ini, akan dibahas penggunaan garis lurus sebagai starting point pembelajaran hubungan antar garis dengan Pendidikan Matematika Realistik Indonesia (PMRI) sebagai pendekatan yang mendukung aktivitas dari penggunaan konteks tersebut. Selain itu, perubahan dari Hypothetical Learning Trajectory (HLT) ke Learning Trajectory (LT) melalui aktivitas, dilakukan dengan pengumpulan data menggunakan lembar observasi, wawancara, rekaman video, foto, dan lembar aktivitas siswa

scholarly journals Designing Learning Translation Using the Motifs of Anyaman Bambu

2020 ◽  
Vol 3 (2) ◽  
pp. 61
Author(s):  
Maryati Maryati ◽  
Rully Charitas Indra Prahmana
Keyword(s):  
Design Research ◽  
Basic Material ◽  
Learning Trajectory ◽  
Preliminary Design ◽  
Learning Mathematics ◽  
Starting Point ◽  
Formal Level ◽  
Ninth Grade Students ◽  
Is Design ◽  
Design Experiments

Indonesia has many cultures, one of which is in the form of traditional crafts namely Anyaman Bambu. It’s a form of traditional craft in the community that uses bamboo as its basic material. However, people only see these crafts as only a form of traditional craft, even though there are many motifs in these crafts that can be used as a starting point in learning mathematics, namely geometry transformations. Therefore, this research aims also to produce the learning trajectory of students in learning one subject in geometry transformations namely translation, which develops from informal to formal level through the Indonesian Realistic Mathematics Education (IRME) approach. The research method used is design research starting from preliminary design, design experiments, and retrospective analysis. This study explores how the motifs of Anyaman Bambu make a real contribution for ninth-grade students to understand the concept of translation. The results of design experiments show that the context of the motifs of Anyaman Bambu can stimulate students to understand their knowledge of the concept of translation. All the strategies and models that students find, describe, and discuss that show how students' constructions or contributions can be used to help their initial understanding of the translation.

scholarly journals DESIGNING LEARNING ROTATION USING THE CONTEXT OF BAMBOO WOVEN MOTIF

2020 ◽  
Vol 4 (2) ◽  
pp. 100
Author(s):  
Maryati Maryati ◽  
Rully Charitas Indra Prahmana
Keyword(s):  
Design Research ◽  
Learning Trajectory ◽  
Realistic Mathematics Education ◽  
Preliminary Design ◽  
Realistic Mathematics ◽  
Formal Level ◽  
Three Stages ◽  
Transformation Geometry ◽  
Ninth Grade Students ◽  
Design Experiments

An essential part of learning transformation geometry is rotation. Before learning more about other parts of the transformation geometry topic, such as translation, dilation, and reflection, firstly, students are required to understand well about rotation. However, several students have not been able to understand this subject properly due to the stages of learning in the rotation has not been appropriately arranged. Thus, this study aims to design a student learning trajectory in learning rotation, which develop from informal to formal level through the Indonesian Realistic Mathematics Education (IRME) approach. Furthermore, researchers used a design research method divided into three stages, namely preliminary design, design experiments, and retrospective analysis. This study describes how the bamboo woven motif contributes significantly to 31 ninth-grade students understanding the rotation concept. As a result, the woven bamboo motif's context can stimulate students' understanding of rotation. It is proven based on the strategies and models of students during their learning process which contributes to their fundamental knowledge of rotation.

scholarly journals DESAIN PEMBELAJARAN MATERI PERBANDINGAN MENGGUNAKAN KONTEKS RESEP EMPEK-EMPEK UNTUK MEDUKUNG KEMAMPUAN BERNALAR SISWA SMP

2017 ◽  
Vol 3 (1) ◽  
pp. 103-121
Author(s):  
Rahma Siska Utari
Keyword(s):  
Design Research ◽  
Teaching Experiment ◽  
Learning Trajectory ◽  
Preliminary Design ◽  
Hypothetical Learning Trajectory ◽  
Actual Learning

Bernalar dalam perbandingan merupakan salah satu topik penting pada pembelajaran matematika SMP. Penelitian ini bertujuan menghasilkan lintasan belajar materi perbandingan menggunakan konteks resep empek-empek dan bagaimana konteks tersebut dapat mendukung kemampuan bernalar siswa. Pendekatan pembelajaran yang digunakan adalah Pendidikan Matematika Realistik Indonesia (PMRI). Subjek penelitian adalah 45 siswa kelas VII SMPN 55 Palembang. Metode penelitian yang digunakan adalah design research, dugaan lintasan belajar (Hypothetical Learning Trajectory) dikembangkan dari aktivitas pembelajaran menggunakan konteks resep empek-empek. Pengembangan secara teoritis dilaksanakan melalui proses interatif meliputi merancang aktivitas pembelajaran (preliminary design), melaksanakan pembelajaran (teaching experiment) dan melakukan analisis retrospektif (restrospective analysis) dalam rangka memberi kontribusi terhadap teori pembelajaran lokal (Local Intructional Theory) untuk mendukung siswa bernalar dalam perbandingan. Pengumpulan data dilakukan melalui beberapa hal meliputi membuat rekaman video tentang kejadian di kelas dan kerja kelompok, mengumpulkan hasil kerja siswa, dan mewawancarai siswa. Hypothetical Learning Trajectory (HLT) yang telah dirancang kemudian dibandingkan dengan Actual Learning Trajectory (ALT) siswa yang sebenarnya selama pelaksanaan pembelajaran (teaching experiment) untuk menganalisis apakah siswa belajar atau tidak belajar dari apa yang telah dirancang dirangkaian pembelajaran. Analisis retrospektif terhadap pelaksanaan pembelajaran menunjukkan bahwa penggunaan konteks resep empek-empek dapat mendukung kemampuan bernalar siswa SMP.

scholarly journals Desain Pembelajaran Menggunakan Tessellation Berbasis Pendekatan Saintifik pada Materi Translasi dan Refleksi

2019 ◽  
Vol 2 (2) ◽  
pp. 80-90
Author(s):  
Widiawati Widiawati
Keyword(s):  
Research Method ◽  
Design Research ◽  
Research Process ◽  
Scientific Activity ◽  
Learning Trajectory ◽  
Learning Material ◽  
Mathematical Communication ◽  
Scientific Approach ◽  
Research Type

The purpose of this study was to determine the role of tesselation in translational and reflection material in developing students' mathematical communication based on a scientific approach. The research method uses design research type validation study involving 30 students of class VII SMP 9 Palembang. The research process produces learning trajectory which contains a series of learning processes in two activities, namely scientific on translational material and scientific on reflection material. Every scientific activity consists of observing, asking, reasoning, trying, and forming networks. The results of the study showed that by providing learning material through a scientific approach, the role of tesselations could help students to carry out mathematical communication so that they could identify translational and reflection material. Therefore, students can understand the concepts of translation and reflection and solve problems related to the material. In conclusion, learning using tessellation with a scientific approach effectively helps students understand the concepts of translation and reflection. Through activities such as observing, asking, reasoning, trying, and forming networks Keywords: Mathematical Communication, Scientific Approach, Tessellation

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