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 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 DESAIN PEMBELAJARAN MATERI OPERASI PADA HIMPUNAN MENGUNAKAN PERMAINAN “LEMON NIPIS”

2018 ◽  
Vol 1 (1) ◽  
pp. 14 ◽  
Author(s):  
Jeinne Mumu ◽  
Benidiktus Tanujaya
Keyword(s):  
Mathematics Education ◽  
Experimental Design ◽  
Research Method ◽  
Design Research ◽  
Learning Activities ◽  
Realistic Mathematics Education ◽  
Preliminary Design ◽  
Realistic Mathematics ◽  
Three Stages ◽  
The University

<span lang="EN">This research aims to design student learning activities on the concept of sets, especially operations on the sets. The research was conducted by using design research method with a mathematics realistic education approach. The subjects of this study are 42 students of mathematics education at the University of Papua taking lecture of realistic mathematics education. There are three stages in the implementation of this research, namely preliminary design, experimental design, and retrospective analysis. The results of the study show that the use of game "Lemon Nipis" can develop students' understanding significantly to the concept of operations on the sets. </span><span lang="EN-US">students are able to understand well and correctly basic operations on the sets, union, intersection, and exponentiation.</span>

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 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 Luas Lingkaran dengan Konteks Explore Dapur Berbasis Realistic Mathematics Education (RME) di Kelas VIII Sekolah Menengah Pertama (SMP)

2019 ◽  
Vol 1 (4) ◽  
pp. 37-44
Author(s):  
Asep Budiyono ◽  
Widya Kusumaningsih ◽  
Irkham Ulil Albab
Keyword(s):  
Mathematics Education ◽  
Design Research ◽  
Teaching Experiment ◽  
Learning Trajectory ◽  
Realistic Mathematics Education ◽  
Pilot Experiment ◽  
Realistic Mathematics ◽  
Hypothetical Learning Trajectory

Penelitian ini bertujuan untuk mengetahui peran Hypothetical Learning Trajectory(HLT)dalam membantu siswa dalam memahami konsep luas lingkaran serta mengetahui strategi yang digunakan oleh siswa terhadap Hypothetical Learning Trajectory(HLT) yang diberikan. Penelitian ini dilaksanakan di SMP Negeri 3 Petarukan, Kabupaten Pemalang. Subjek penelitian adalah siswa kelas VIII, dengan melalui 2 tahap yaitu pilot experiment melibatkan 6 siswa dari kelas VIII C dan dilanjutkan teaching experiment yang melibatkan 30 siswa dari kelas VIII B. Penelitian ini menggunakan metode design research yang didalamnya terdapat HLT yang memegang peranan sangat penting sebagai desain dan instrumen penelitian. Pembelajaran dalam penelitian ini menggunakan konteks peralatan dapur yaitu gelas, piring dan mangkuk sesuai dengan karakteristik dari RME. Hasil Penelitian menunjukkan bahwa Hypothetical Learning Trajectory (HLT) dapatmembantu siswa 1) membuat potongan juring lingkaran dan mengubahnya menjadi sebuah bangun datar baru yaitu trapesium, 2) menemukan sendiri konsep luas lingkaran dengan pendekatan trapesium, 3) menyelesaikan permasalahan dalam kehidupan sehari-hari yang berkaitan dengan konsep luas lingkaran. Adapun strategi yang digunakan siswa yaitu 1)mensketsakan permukaan perlatan dapur berupa lingkaran, 2) membandingan keliling dan diameter lingkaran untuk memperoleh nilai phi, 3)menyusun juring menjadi trapesium dan memformulasikan konsep luas lingkaran, 4) menerapkan konsep luas lingkaran.

scholarly journals Desain Pembelajaran Refleksi dan Translasi Berkonteks Klenteng Sam Poo Kong Semarang

Jurnal Elemen ◽  
2021 ◽  
Vol 7 (2) ◽  
pp. 381-393
Author(s):  
Aidha Aprilia Puji Lestari ◽  
◽  
Aryo Andri Nugroho ◽  
Farida Nursyahidah ◽  
◽  
...  
Keyword(s):  
High School ◽  
Junior High School ◽  
Design Research ◽  
Junior High ◽  
Ninth Grade ◽  
Teaching Experiment ◽  
Learning Trajectory ◽  
Three Stages ◽  
Ninth Grade Students ◽  
Reflection Formula

Reflection and translation material are critical to be mastered by students in learning transformation material. However, reflection and translation material are still difficult for students to understand. Therefore, this study aims to develop a learning trajectory that will assist ninth-grade students of Junior High School in grasping the notion of reflection and translation in the context of the Sam Poo Kong Temple in Semarang. The research used the design research method, which consisted of three stages: the preliminary design, the design experiment (pilot experiment and teaching experiment), and retrospective analysis. The PMRI approach was used to develop learning activities in this research. This study involved 32 ninth-grade students at a junior high school in Semarang city. The results of this study is a learning trajectory that includes a series of learning processes in four activities. These are observing the Sam Poo Kong Semarang video and analyzing the properties of reflection, finding the reflection formula, analyzing the properties of translation, discovering the translation formula, and solving contextual problems related to reflection and translation. The activities conducted can enable students to develop a better understanding of material reflection and translation. The research's findings indicate that using the Sam Poo Kong Semarang temple context can equip ninth-grade students to comprehend the concept of material reflection and translation. Additionally, the outcome of this study offers additional local wisdom options that can be used as a context in mathematics.

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 DEVELOPMENT OF LEARNING TRAJECTORY ON THE SET TOPIC FOR 7TH GRADE IN THE CONTEXT OF SEDEKAH LAUT TRADITION

2021 ◽  
Vol 6 (2) ◽  
pp. 181-194
Author(s):  
Hartono Hartono ◽  
Denti Zaedatul Khaeriyah ◽  
Dina Lita Sari ◽  
Mila Ilfiana ◽  
Farida Nursyahidah
Keyword(s):  
Design Research ◽  
Design Stage ◽  
Learning Trajectory ◽  
Preliminary Design ◽  
Venn Diagrams ◽  
Set Operations ◽  
Preliminary Design Stage ◽  
Three Stages ◽  
Learning Development ◽  
Teaching Experiments

Set is an important topic to be mastered by students because it influences the development of mathematics in daily life. However, many students still have difficulty learning the topic. Therefore, it is necessary to design a learning trajectory using the appropriate approach, context, and media. This research resulted in the learning development using Sedekah Laut context to create meaningful learning and increase students' understanding of sets. The method used in this study was design research proposed by Gravemeijer & Cobb with three stages: preliminary design, experimental design (pilot experiments and teaching experiments), and retrospective analysis. However, this article only presented the results from the Preliminary design stage. The participants involved in this study were 7th-grade students of SMP Negeri 6 Semarang. The resulting hypothetical learning trajectory consists of a series of learning processes: observing context videos to find the concepts of sets, non-sets, empty sets, universal sets, and Venn diagrams; explaining the properties of the set; defining set operations; and solving problems related to sets.

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 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.

Sign in / Sign up

Export Citation Format

Share Document