scholarly journals Pembelajaran Pecahan dengan Menggunakan Manik Susun

2017 ◽  
Vol 2 (2) ◽  
pp. 153-166 ◽  
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.

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 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 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 THE CONTEXT OF ARCHIPELAGO TRADITIONAL CAKE TO EXPLORE STUDENTS’ UNDERSTANDING IN INTEGERS DIVISION CLASS VII

2019 ◽  
Vol 14 (1) ◽  
pp. 91-100 ◽  
Author(s):  
Elis Muslimah Nuraida ◽  
Ratu Ilma Indra Putri
Keyword(s):  
Junior High School ◽  
Design Research ◽  
Mathematics Learning ◽  
Learning Trajectory ◽  
Mathematics Problems ◽  
Learning Path ◽  
Starting Point ◽  
Hypothetical Learning Trajectory ◽  
Integer Division ◽  
Division Operation

This study aims to explore the students’ mathematical understanding in integer division operation through the context of archipelago traditional cakes in class VII. This research is related to the Indonesian Realistic Mathematics Approach (PMRI) as a learning approach used. The methodology used in this study is Design Research consisting of three stages: preliminary design, experimental design, and retrospective analysis. The study was conducted on VII grade students of Palembang 1 Junior High School. The learning path (Hypothetical Learning Trajectory) in design research plays an important role as a research design and instrument. The Hypothetical Learning Trajectory (HLT) was developed together with a series of activities using the context of archipelago traditional cakes such as: omelette roll, bakpia, milk pie, etc. The medium used in this study was the Students’ Activity Sheet. The results of this study indicate that exploration using the context of traditional archipelago cakes can help students understanding in multiplication and division of integers. The conclusion of this study is the use of archipelago traditional cakes as starting point in mathematics learning in integer division operation material helps the students to explore their understanding in solving mathematics problems.

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 SUDUT MENGGUNAKAN KONTEKS RUMAH LIMAS DI KELAS VII

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.

scholarly journals Hypothetical learning trajectory (HLT) for proof logic topics on algebra course: What’re the experts think about?

2020 ◽  
Vol 11 (1) ◽  
pp. 101-110
Author(s):  
Riza Agustiani ◽  
Rahmat Nursalim
Keyword(s):  
Design Research ◽  
Mathematical Reasoning ◽  
Mathematics Learning ◽  
History Of Mathematics ◽  
Teaching Experience ◽  
Learning Trajectory ◽  
Design Experiment ◽  
Research Experience ◽  
Expert Review ◽  
Hypothetical Learning Trajectory

Proof has a role in the formation and development of mathematics in the history of mathematics. The ability to construct proof is one indicator of mathematical reasoning which is an important component of mathematics learning outcomes, especially in Algebra. This qualitative research aims to describe the design process of the Hypothetical Learning Trajectory for Proof Logic Topics. This research is based on design research. This research consists of three stages: preparing for the experiment, the design experiment, and the retrospective analysis. Data collection techniques in this research are walkthrough and interview. The walkthrough and interview were conducted in the first stage of design research (preparing the experiment) with two activities: expert review and reader proof to collect materials to revise the HLT. Four experts participated in the expert review. The experts are chosen based on the experience, both research experience, and teaching experience. The result of this research is the design of HLT for proof logic topics consist of four activities: reading proof, completing proof, examining proof, and Constructing proof. The four activities were well-done on the design experiment stage. 

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.

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