scholarly journals Kemajuan Belajar Siswa pada Penjumlahan Bilangan Desimal Menggunakan Pengukuran Berat

2018 ◽  
Vol 3 (1) ◽  
pp. 1-17 ◽  
Author(s):  
Leni Maimuna ◽  
Darmawijoyo Darmawijoyo ◽  
Ely Susanti
Keyword(s):  
Design Research ◽  
Number Line ◽  
Learning Trajectory ◽  
Design Experiment ◽  
Fourth Grade Students ◽  
Measurement Results ◽  
Formal Level ◽  
Field Notes ◽  
Three Stages ◽  
Is Design

This study was aimed at describing the student’ learning progress on decimals addition by a set of learning activitis based on Indonesian Realistic Mathematics Education. This research  method is design research which contain three stages, namely: preliminary design, design experiment and retrospective analysis. Hypothetical Learning Trajectory (HLT) has been designed to play an important role as learning design and research instrument. HLT was tested to 30 fourth grade students. The data were collected through interview, observation, and field notes. The findings of the research  showed that this instructional design could stimulate students  in the introduction of one digit decimal through the result of weight measurement, the use of the model that the students make themselves (model of) to describe the measurement results at the second level, and marking the result of the measurement to the number line and continued by describing the process of decimals addition from the measurement activity to the number line in the more formal level. Furthermore at the formal level, students are able to solve the problem of the decimals addition using the correct procedure that is the place value rule.

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 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 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 Desain Pembelajaran Pecahan melalui Pendekatan Realistik di Kelas V

2019 ◽  
Vol 8 (1) ◽  
pp. 25-36
Author(s):  
Warsito Warsito ◽  
Yeni Nuraini ◽  
Sukirwan Sukirwan
Keyword(s):  
Design Research ◽  
Teaching Experiment ◽  
Learning Trajectory ◽  
Instructional Theory ◽  
Framework Analysis ◽  
Research Activities ◽  
Learning Mathematics ◽  
Third Stage ◽  
Three Stages ◽  
Is Design

AbstrakPecahan merupakan salah satu topik matematika yang hampir selalu menjadi masalah bagi siswa sekolah dasar (SD). Masalah tersebut muncul karena umumnya siswa tidak memahami konsep pecahan. Penelitian ini merupakan penelitian desain (design research) yang dirancang untuk memberikan suatu pertimbangan yang baik terhadap proses pembelajaran operasi pecahan melalui dugaan-dugaan yang dibangun dalam kerangka analisis hypotetical learning trajectory (HLT) yang kemudian diujicobakan dalam pembelajaran matematika realistik (PMR). PMR mendasari dari seluruh kegiatan penelitian desain riset.  Hasil penelitian ini tergambar dari teori instruksional lokal (local instructional theory). Design research dilakukan dalam tiga tahap, yaitu desain pendahuluan, percobaan mengajar yang terdiri siklus 1 dan siklus 2, dan tahap ketiga analisis retrospektif.  Penelitian melibatkan menggunakan sampel sebanyak 29 siswa kelas V di SDI Nurul Hasanah yang terdiri 4 orang siswa pada siklus satu dan 25 siswa pada siklus kedua.  Hasil penelitian dapat menunjukan bahwa serangkaian kegiatan pembelajaran dengan PMR dapat membawa siswa dari situasi konkret menuju situasi yang lebih formal.  Siswa mampu mengerjakan bilangan pecahan dari bentuk kontektual dengan disertai alasan. Learning Design Fractions through Realistic Approach in Class VAbstractFractions is one of  the mathematics topic that are almost to be problem for elementary school (SD) . This problem arises because generally studenst do no understand about concept of fraction. This research is design research  designed to provide a good consideration of learning process of  fractional operations through allegations built in framework analysis hypotetical learning trajectory (HLT), which later tested in learning mathematics realistic (PMR). PMR underlies all research design research activities. The results of this study are drawn from local instructional theory. Design research is carried out in three stages, namely preliminary design, teaching experiment consisting of cycle 1 and cycle 2, and the third stage of retrospective analysis. The study involved using a sample of 29 grade V students at SDI Nurul Hasanah consisting of 4 students in cycle one and 25 students in the second cycle. The results of the study can show that a series of learning activities with PMR can bring students from concrete situations to a more formal situation. Students are able to work fractions of a contextual form with reason.

scholarly journals Belajar Pencerminan dengan Menggunakan Permainan Bom-Boman di Kelas VII

2018 ◽  
Vol 3 (1) ◽  
pp. 49-61
Author(s):  
Sri Hartati ◽  
Zulkardi Zulkardi ◽  
Yusuf Hartono
Keyword(s):  
Retrospective Analysis ◽  
Design Research ◽  
Analysis Data ◽  
Teaching Experiment ◽  
Learning Trajectory ◽  
Design Experiment ◽  
Research Approach ◽  
Three Stages ◽  
Transformation Geometry ◽  
Actual Learning

This study produces a learning trajectory in transformation geometry, specifically on reflection using a game called “bom-boman”. This study using PMRI, the Indonesian version of realistic mathematics education. Subjects of this study are 36 seventh grade students of SMP Negeri 24 Palembang. This study using a design research approach with conducted in three stages: preliminary design, the design experiment (pilot experiment & teaching experiment), and retrospective analysis. Data were collected by observations, interviewing the student, collecting student worksheet, and documentation of classroom event and group works. Hypothetical Learning Trajectory (HLT) has been designed then compared to Actual Learning Trajectory (ALT) during the learning process. Retrospective analysis shows that student’s learning trajectories using the game help students to understand transformation geometry in reflection.

scholarly journals PENGEMBANGAN LOCAL INSTRUCTION THEORY PADA MATERI SEGITIGA DAN SEGIEMPAT TERHADAP KEMAMPUAN REPRESENTASI MATEMATIK SISWA SMP

2019 ◽  
Vol 2 (2) ◽  
pp. 95
Author(s):  
Indah Puspita Sari ◽  
Adi Nurjaman
Keyword(s):  
High School Students ◽  
Junior High School ◽  
Design Research ◽  
Mathematical Representation ◽  
Design Experiment ◽  
School Students ◽  
Three Stages ◽  
Instruction Theory ◽  
Is Design ◽  
Local Instruction Theory

The purpose of this research is to develop local instruction theory on triangular and quadrilateral material and examine the improvement of mathematical representation ability by using local instruction theory. The method used in this research is design research method which includes three stages, namely: preliminary design, design experiment and retrospective analysis. The instruments in this study were in the form of tests and non-tests, where the tests used were aimed to determine the improvement of students' mathematical representation ability while non-tests such as interviews and observations were used to develop the local instruction theory. Subjects in this study were 40 junior high school students. The final result of this research is the development of local instruction theory teaching materials that can be used by the teacher to be used as a guide in teaching and the ability of students' mathematical representation in triangular and quadrilateral material is sufficiently increased

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 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 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 The Data Package in Learning Mean Using LSLC and PMRI

2021 ◽  
Vol 15 (1) ◽  
pp. 61-70
Author(s):  
Poppy Trianti Rahayu ◽  
Ratu Ilma Indra Putri
Keyword(s):  
Learning Community ◽  
Lesson Study ◽  
Design Research ◽  
Teaching Experiment ◽  
Learning Trajectory ◽  
Literature Study ◽  
Field Notes ◽  
Design Type ◽  
Written Test ◽  
Research Type

This study aims to produce statistical learning designs in the introduction of the concept of average values and knowing student learning outcomes in learning average values by previously learning about the presentation of data consisting of tables and diagrams through learning trajectories and what happens during the learning process. This learning is based on Lesson Study for Learning Community (LSLC), the approach of Indonesian Realistic Mathematics Education (PMRI). This study uses a type of Design Research method research design type of validation study, which involves in MTs 1 in Palembang. There are three stages in design research type validation studies namely Preparing for the experiment in the form of literature study and the design of the Hypothetical Learning Trajectory (HLT); Design experiment in the form of a Preliminary Teaching Experiment (Pilot Experiment) and Teaching Experiment; and Restrospective analysis. The instruments used were written test, video and field notes. The results of learning experiments show that the design of learning provided has helped students understand the concept of Mean.

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