Belajar Pencerminan dengan Menggunakan Permainan Bom-Boman di Kelas VII

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.

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PEMANFAATAN KONTRIBUSI SISWA SEBAGAI ALAT TRANSISI MENUJU PEMAHAMAN KONSEP OPERASI PECAHAN

Refleksi Edukatika Jurnal Ilmiah Kependidikan ◽

10.24176/re.v9i1.2813 ◽

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.

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DESAIN PEMBELAJARAN SUDUT MENGGUNAKAN KONTEKS RUMAH LIMAS DI KELAS VII

JINoP (Jurnal Inovasi Pembelajaran) ◽

10.22219/jinop.v2i2.3489 ◽

2016 ◽

Vol 2 (2) ◽

pp. 437

Author(s):

Wiwik Widyawati ◽

Ratu Ilma Indra Putri ◽

Unsri Somakim

Keyword(s):

Design Research ◽

Video Recording ◽

Teaching Experiment ◽

Learning Trajectory ◽

Research Approach ◽

Angle Data ◽

Instruction Theory ◽

Actual Learning ◽

Support Students ◽

Analysis Of Teaching

The aims this study are to produce Learning Trajectory use Rumah Limas as context. The approach used is Pendidikan Matematika Realistik Indonesia (PMRI). The subjects were 26 students of class seventh of SMPN 1 Keluang. This study was using design research approach, the hypothetical Learning Trajectory was developed from a set of activities using Rumah Limas as context. In theory the development carried through the interactive process comprise of preliminary design, teaching experiment and restrospective analysis to contribute to Local Instruction Theory (LIT) to supporting students learn of angle. Data collected by making video recording about incident in the class, collecting students worksheet, giving pretest and postest, interviewing students. The designed HLT compared with Actual Learning Trajectory (ALT) during teaching experiment to analyze whether the students learned or didn't learn from what we had designed in the instructional sequence. Retrospective analysis of teaching experiment showed that by using Rumah Limas as context can support students learning of angle.

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Building Relational Understanding through Hypothetical Learning Trajectory of Probability

International Journal of Elementary Education ◽

10.23887/ijee.v5i1.34588 ◽

2021 ◽

Vol 5 (1) ◽

pp. 150

Author(s):

Fathur Rahmi ◽

Pinta Deniyanti Sampoerno ◽

Lukita Ambarwati

Keyword(s):

Design Research ◽

Probability Learning ◽

Analysis Data ◽

Teaching Experiment ◽

Point Of View ◽

Learning Trajectory ◽

Relational Understanding ◽

Video Recorder ◽

Hypothetical Learning Trajectory ◽

Three Stages

Many researchers found that students had difficulty in understanding probability material. Students mostly focus on applying formulas to find solutions to problems without knowing what the concept is and why the formula works. This underlies the researcher to design probability learning as a hypothetical learning trajectory. The study aims to describe a series of learning activities designed to build relational understanding skills in probability material. This study uses a design research method consisting of three stages, namely preparation and design, teaching experiment, and retrospective analysis. Data collection techniques were carried out using a video recorder, documentation, and test questions. The data collected is in the form of qualitative data. The collected data is interpreted by peers, teachers, and supervisors to reduce the subjectivity of the researcher's point of view. All data that has been collected were analyzed retrospectively. The results of the research conducted showed that students experienced an increase and gave a good response in solving problems. Teachers are expected to use a learning design with a realistic mathematical approach because it helps students understand learning and apply their knowledge in everyday life.

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DESAIN PEMBELAJARAN MATERI HUBUNGAN ANTAR GARIS YANG MENDUKUNG PEMAHAMAN KONSEP SISWA

PHI: Jurnal Pendidikan Matematika ◽

10.33087/phi.v5i1.128 ◽

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

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Pembelajaran Pecahan dengan Menggunakan Manik Susun

Jurnal Review Pembelajaran Matematika ◽

10.15642/jrpm.2017.2.2.153-166 ◽

2017 ◽

Vol 2 (2) ◽

pp. 153-166 ◽

Cited By ~ 2

Author(s):

Kiki Rizkiah Pertiwi ◽

Zulkardi Zulkardi ◽

Darmawijoyo Darmawijoyo

Keyword(s):

Retrospective Analysis ◽

Design Research ◽

Learning Activity ◽

Learning Trajectory ◽

Design Experiment ◽

Learning Sequence ◽

Learning Path ◽

Hypothetical Learning Trajectory ◽

Instruction Theory ◽

Actual Learning

This study aimed to design a learning path which can help students to understand fractions based on Pendidikan Matematika Realistik Indonesia (PMRI) approach. The subject is 30 students of 4th grade of PP Qodratullah Langkan. Method of this research is design research, Hypothetical Learning Trajectory (HLT) developed from learning activity series using context stacked beads. The implementation of this research in 3 stages: preparing the design experiment, conducting the learning (the design experiment), and retrospective analysis in order to contribute to Local Instruction Theory support to students in studying fractions. The designed Hypothetical Learning Trajectory (HLT) is then compared to Actual Learning Trajectory (ALT) students during the learning to analyze whether students learn or not from what has been designed in the learning sequence. A retrospective analysis of the implementation of learning suggests that the use of the stacking bead context can help students understand fractions.

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DESIGNING LEARNING ROTATION USING THE CONTEXT OF BAMBOO WOVEN MOTIF

Prima Jurnal Pendidikan Matematika ◽

10.31000/prima.v4i2.2600 ◽

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.

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

Jurnal Pendidikan Matematika RAFA ◽

10.19109/jpmrafa.v3i1.1444 ◽

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.

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Stadion Gelora Sriwijaya Jakabaring dalam Pembelajaran Segitiga

Kreano Jurnal Matematika Kreatif-Inovatif ◽

10.15294/kreano.v6i2.4830 ◽

2015 ◽

Vol 6 (2) ◽

pp. 147 ◽

Cited By ~ 2

Author(s):

Nyiayu Fraisa Fatiyah ◽

Ratu Ilma Indra Putri ◽

Ely Susanti

Keyword(s):

High School Students ◽

Retrospective Analysis ◽

Teaching Experiment ◽

Learning Trajectory ◽

Design Experiment ◽

Preliminary Design ◽

Seventh Grade ◽

School Students ◽

Pilot Experiment ◽

Starting Point

Penelitian ini bertujuan untuk menghasilkan lintasan belajar pada materi sifat-sifat segitiga berdasarkan panjang sisi dan besar sudutnya menggunakan konteks Stadion Gelora Sriwijaya Jakabaring di kelas VII. Desain pembelajaran yang digunakan terdiri dari tiga tahap yaitu preliminary design, design experiment (pilot experiment dan teaching experiment), dan retrospective analysis. Dalam penelitian ini, serangkaian aktifitas pembelajaran didesain dan dikembangkan berdasarkan pendekatan PMRI. Penelitian ini melibatkan 29 orang siswa kelas VII SMP Negeri 2 Indralaya Utara. Penelitian ini menghasilkan Learning Trajectory (LT) yang memuat serangkaian proses pembelajaran dalam 3 aktifitas yaitu menentukan jenis-jenis segitiga berdasarkan panjang sisi dan besar sudutnya, hubungan panjang sisi dan besar sudut pada segitiga dan menyelesaikan masalah yang berkaitan dengan sifat-sifat segitiga berdasarkan panjang sisi dan besar sudutnya. Hasil dari percobaan pembelajaran menunjukkan bahwa konteks Stadion Gelora Sriwijaya Jakabaring dapat digunakan sebagai starting point pada materi segitiga di kelas VII SMP.This research aims to produce a learning trajectory on the material properties of triangles based on the side and angle using the context Stadion Gelora Sriwijaya Jakabaring in class VII. Instructional design used consisted of three stages: preliminary design, design experiment (pilot experiment and teaching experiment), and retrospective analysis. This study used learning activities are designed and developed based on PMRI approach. Subjects were 29 seventh grade students of SMP Negeri 2 Indralaya Utara. This research resulted Learning Trajectory (LT), which contains a series of learning processes in the three activities that determine the types of triangles based on the side and angle, relationship side lenght and angle of the triangle and resolve problems related to the properties of triangles based on side length and angle. Results of the experiments showed that the Stadion Gelora Sriwijaya Jakabaring could be used as a starting point by seventh grade senior high school students to learn triangle.

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DEVELOPING A LOCAL INSTRUCTION THEORY FOR LEARNING COMBINATIONS

Infinity Journal ◽

10.22460/infinity.v8i2.p157-166 ◽

2019 ◽

Vol 8 (2) ◽

pp. 157

Author(s):

Ika Meika ◽

Didi Suryadi ◽

Darhim Darhim

Keyword(s):

Design Research ◽

Teaching Experiment ◽

Learning Activities ◽

Theoretical Development ◽

Learning Trajectory ◽

Research Approach ◽

Instruction Theory ◽

Analysis Of Teaching ◽

Teaching Experiments ◽

Local Instruction Theory

This research aims at developing local instruction theory for learning combinations by using Realistic Mathematics Education (RME). This research uses a design research approach, Hypothetical Learning Trajectory (HLT), developed from a series of activities to obtain a better understanding about combinations at Senior High School (SHS) students. Theoretical development is supported by an interactive process in designing learning activities, conducting teaching experiment and conducting retrospective analysis to contribute to combinations of Local Instruction Theory (LIT). An understanding of combinations emerges and develops during classroom learning activities. Qualitative analysis of teaching experiments shows that by using local instruction theory teaching materials that characterize RME students are able to develop their understanding about a combination.

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Desain Pembelajaran Refleksi dan Translasi Berkonteks Klenteng Sam Poo Kong Semarang

Jurnal Elemen ◽

10.29408/jel.v7i2.3400 ◽

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.

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