scholarly journals Facilitating Students’ Multiple Intelligences through RME: A Learning Trajectory of Volume and Surface Area Measurement

2021 ◽  
Vol 3 (1) ◽  
pp. 27-50
Author(s):  
Ahmad Wachidul Kohar ◽  
Achmad Dhany Fachruddin ◽  
Soffil Widadah
Keyword(s):  
Surface Area ◽  
Multiple Intelligences ◽  
Design Research ◽  
Teaching Experiment ◽  
Rectangular Prism ◽  
Area Measurement ◽  
Learning Activity ◽  
Learning Trajectory ◽  
Formal Level ◽  
Formal Concepts

This is a design research which aims to describe the learning trajectory of volume and surface area of rectangular prism by considering the involvement of the multiple intelligences-based activities within the realistic mathematics education (RME) learning activity. A total of 39 students of grade five at an elementary school in Sidoarjo, Indonesia were involved in teaching experiment phase. By collecting data through documentation, interviews, and classroom observations, the Hypothetical Learning Trajectory which was developed in pilot experiment was then revised to get a revised learning trajectory reported in this paper. Such a revised learning  trajectory are the learning activities around drawing the nets of cube and cuboids through rolling activity, comparing surface are and volume of two models with different sizes, finding surface area using the constructed nets, building miniature buildings using cube unit model, predicting the number cube units in a box, constructing various models of cuboids to various sizes using particular number of cube units, rearranging a number of cube units arrangements with different layers to get different volume and surface area, and comparing the volumes of two rectangular prism made from the same rectangular model of paper. Lastly, at the ‘formal level’ students developed their  informal  knowledge  into  formal  concepts  of volume and surface area of rectangular prism, which in this case is cuboid and cube.

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 A LEARNING TRAJECTORY FOR PROBABILITY: A CASE OF GAME-BASED LEARNING

2021 ◽  
Vol 12 (1) ◽  
pp. 1-16
Author(s):  
Ariyadi Wijaya ◽  
Elmaini Elmaini ◽  
Michiel Doorman
Keyword(s):  
Design Research ◽  
Learning Trajectory ◽  
General Level ◽  
Game Based Learning ◽  
Starting Point ◽  
Formal Level ◽  
Formal Concepts ◽  
Sample Points ◽  
Four Levels ◽  
Actual Learning

This research is aimed to describe a learning trajectory for probability through game-based learning. The research employed design research consisting of three stages: preparing for the experiment, design experiment, and retrospective analysis. A hypothetical learning trajectory (HLT) using Sudoku and Snake-and-ladder games was developed by collecting data through documentation, interviews, and classroom observations. The HLT was implemented in the classroom to investigate students’ actual learning trajectory. The results of this research indicate that the games helped students understand the concept of probability. The learning trajectory for probability based on game-based learning is seen from the perspective of four levels of emergent modeling. In the first level – ‘situational level’ – Sudoku and Ladder-and-Snake games were played by students. The second level is the ‘referential level’ where the rules of the games were used as a starting point to learn the concept of probability. Communication during game playing stimulated students' knowledge about random events, sample spaces, sample points, and events. At the third level – ‘general level’ – students used tree and table diagrams to generalize possible outcomes of an experiment and develop an understanding of sample spaces and sample points. Lastly, at the ‘formal level’ students developed their informal knowledge into formal concepts of probabilities.

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 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 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 Penjumlahan dan Pengurangan Bilangan Menggunakan Konteks Bangka Belitung untuk Mendukung KBKM Siswa

2019 ◽  
Vol 2 (1) ◽  
pp. 11-24
Author(s):  
Rajab Vebrian ◽  
Yudi Yunika Putra
Keyword(s):  
Design Research ◽  
Pacific Islands ◽  
Teaching Experiment ◽  
Learning Trajectory ◽  
Learning Context ◽  
Design Learning ◽  
The Pacific ◽  
Addition And Subtraction ◽  
Support Students ◽  
Research Type

This study aims to produce learning trajectories of addition and subtraction of material numbers using the context of Bangka Belitung, also to find out whether the use of these learning designs can support students' Critical Thinking Abilities (KBKM). The research method, this research is a validation study design research type involving 6 students in the pilot experiment stage, and 25 students in the teaching experiment stage. The alleged learning trajectory was developed from a series of learning activities using the context of the Pacific Islands, such as sahang / pepper seeds as a model in learning the addition and subtraction of numbers. The results showed the use of trajectories in the context of Bangka Belitung provided different assessment results between the students' pretest and posttest scores. Most students have been able to solve the problem of addition and subtraction and provide arguments in answering the problems encountered. In conclusion, the use of instructional design using the context of Bangka Belitung in the learning of addition and subtraction of numbers can support student CBCS. Keywords: Numbers, Design, Learning Context

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 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 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.

scholarly journals DESAIN PEMBELAJARAN UKURAN PEMUSATAN DATA MENGGUNAKAN KONTEKS GAME RATING

JIPMat ◽  
2019 ◽  
Vol 4 (2) ◽  
Author(s):  
Widya Kusumaningsih ◽  
Irkham Ulil Albab ◽  
Septian Dwi Angga
Keyword(s):  
Design Research ◽  
Teaching Experiment ◽  
Learning Trajectory ◽  
Pilot Experiment ◽  
Hypothetical Learning Trajectory

Penelitian ini bertujuan untuk mengetahui peran Hypothetical Learning Trajectory (HLT) dalam membantu siswa memahami konsep ukuran pemusatan data. Penelitian ini dilaksanakan di SMPN 3 Ungaran. Subjek penelitian adalah siswa kelas VIII, dengan 2 tahap yaitu pilot experiment yang melibatkan 6 siswa dari kelas VIII B dan dilanjutkan teaching experiment yang melibatkan 25 siswa dari kelas VIII C. Penelitian ini menggunakan metode design research yang menggunakan HLT. HLT memegang peran yang sangat penting sebagai desain dan instrumen utama dalam penelitian. Kegiatan pembelajaran dalam penelitian ini menggunakan konteks game rating. Hasil penelitian menunjukkan bahwa HLT dapat membantu siswa 1) menemukan sendiri bagaimana menghitung mean, median dan modus melalui bentuk representasi matematis, 2) menemukan sendiri konsep ukuran pemusatan data, 3) menyelesaikan permasalahan dalam kehidupan sehari-hari yang berkaitan dengan konsep ukuran pemusatan data. Hasil dari penelitian ini menunjukkan bahwa melalui serangkaian aktivitas yang telah dilakukan membantu siswa dalam pembelajaran ukuran pemusatan data.

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