scholarly journals THE EMERGENCE OF PROBABILISTIC LANGUAGE FROM STUDENTS’ UNCERTAINTY IN LEARNING INFORMAL INFERENTIAL REASONING

2017 ◽  
Vol 5 (1) ◽  
Author(s):  
Lukman Fakhmi ◽  
Heninga Windri ◽  
Mika Meitriana Manurung
Keyword(s):  
Design Research ◽  
Realistic Mathematics Education ◽  
Inferential Reasoning ◽  
Inferential Statistics ◽  
Realistic Mathematics ◽  
New Information ◽  
Informal Inferential Reasoning ◽  
Draw Conclusion ◽  
Is Design ◽  
Made In

In our daily life, we often draw conclusion regarding some phenomenon to get new information from sampleof the population. By doing so, we unconsciously learn the inferential statistics informally or known as Informal Inferential Reasoning (IIR). Therefore, it can be said that IIR is close to our live. As a result, it is wise to use IIR in introducing inferential statistics to students. In introducing IIR, a set of learning design needs to be made. In this research, the design would use Realistic Mathematics Education (RME) as the approach of the learning and dot plot as a visual representation. This paper describes the probabilistic language students used in expressing some uncertainty when making generalization. The method used is design research. The involved subjects in this research were six students of VII-8 at SMPN 7 Tangerang Selatan. The results showed that the probabilistic language appears when students generalize the data. Moreover, probabilistic language also appears when students added samples in growing sample activity. Probablistic language which appeared in this research are “mungkin”, “hampir sama”, “kurang sama”, and so on. Keywords : design research; informal inferential reasoning; probabilistic language; uncertainty.

scholarly journals THE DEVELOPMENT OF STUDENTS’ THINKING USING COLORED CARDS TOWARDS INTERSECTION AND UNION CONCEPT

2017 ◽  
Vol 5 (1) ◽  
Author(s):  
Mika Meitriana Manurung ◽  
Hening Windria ◽  
Lukman Fakhmi
Keyword(s):  
Mathematics Education ◽  
Junior High School ◽  
Word Problems ◽  
Design Research ◽  
Venn Diagram ◽  
Realistic Mathematics Education ◽  
Realistic Mathematics ◽  
Crucial Part ◽  
Is Design ◽  
Development Of Students

Intersection and union concepts are crucial part of operation in sets, especially in solving word problems and creating the venn diagram. In fact, not a few students do fallacies in representing sets word problems into a sets operation, so they do mistakes in solving the problems. This study aims to investigate students’ thinking in learning intersection and union concept, specifically by using colored cards. The learning is designed under Realistic Mathematics Education (RME) approach and the principle used is emergent modeling. The method used in this study is design research. The subjects of this study is 25 students of the 7th grade junior high school, in which five of them were the focused group. The main findings in this study are description of students’ thinking while learning union and intersection using colored cards in the class, and any kinds of students’ ‘diagram venn’models. Keywords: design research, intersection, realistic mathematics education, union, venn diagram

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 Desain Pembelajaran Materi Himpunan Dengan Pendekatan Realistic Mathematics Education (RME) Untuk Kelas VII

2019 ◽  
Vol 5 (1) ◽  
pp. 19-29
Author(s):  
Mika Meitriana Manurung ◽  
Hening Windria ◽  
Samsul Arifin
Keyword(s):  
Mathematics Education ◽  
Design Research ◽  
Mathematics Learning ◽  
Realistic Mathematics Education ◽  
Realistic Mathematics ◽  
Research Questions ◽  
Group 5 ◽  
Actual Learning ◽  
Is Design ◽  
Trajectory Learning

The topic of the set is a basic concept in mathematics and its relationship is close to our daily life. However, some studies in Indonesia have found that the students have difficulties in solving the set problem. This can be due to the pattern of mathematics teaching in schools. This study aims to provide a design of learning in the set topic with Realistic Mathematics Education (RME) approach. The research questions are: (1) How is the design of mathematics learning in the topic of the set using the RME approach? (2) How do students learn the topic of the set by using the RME approach? This research method is design research with one cycle in SMP Dasana Indah Tangerang. The subjects were 24 students with one focus group, 5 students who had no errors in the initial test. Data of research obtained from sound recording, video, photos, and Student Activity Sheet, then be analyzed by comparing the Hypothesis of Trajectory Learning and Trajectory of Actual Learning. This study produces the Theory of Local Instruction, with four lessons, namely: (1) Determining the set and not the set; (2) Finding the concept of set of universe, subsets, empty set, and describing the models; (3) Finding the concept of intersection, union, and illustrating the models; (4) Find the concept of complement, difference, and describe the models, and use the models to solve the story problem. In the learning process, through grouping games and describe the model, student learning the notion of set enthusiastically and actively. Keywords: design research, set, realistic mathematics education approach

scholarly journals Desain Pembelajaran Garis dan Sudut Menggunakan Jam Dinding Lingkaran untuk Siswa SMP Kelas VII

2019 ◽  
Vol 4 (2) ◽  
pp. 85-101
Author(s):  
Ajeng Ramadhani ◽  
Rully Charitas Indra Prahmana
Keyword(s):  
Mathematics Education ◽  
Research Method ◽  
Design Research ◽  
Mathematical Concept ◽  
Realistic Mathematics Education ◽  
Learning Design ◽  
Student Activity ◽  
Realistic Mathematics ◽  
Is Design

The purpose of this research is to understanding the role of line and angle learning design in students’ comprehension of mathematical concept and also to understanding the students’ learning result through LAS (Lembar Aktivitas Mahasiswa) or student activity paper that is based on the Indonesian Realistic Mathematics Education approach. The research method used in this research is design research. The result of this research shows that the activity of using props or drawing a clock circle could motivate the students in checking out the shaped angle, So the students will have the idea to calculate how big is the angle that is shaped by the clockwise and also to determine its types. So, the design that is used could help the students to understanding the concept of angle through the context of clock circle.

scholarly journals PEMBELAJARAN PERSEN DENGAN MENGGUNAKAN MEDIA DOWNLOAD BAR PADA SISWA KELAS 5 SEKOLAH DASAR

2021 ◽  
Vol 13 (1) ◽  
pp. 59-65
Author(s):  
Wuli Oktiningrum
Keyword(s):  
Mathematics Education ◽  
Design Research ◽  
Group Discussion ◽  
The Internet ◽  
Realistic Mathematics Education ◽  
Laptop Computer ◽  
Class V ◽  
Realistic Mathematics ◽  
Is Design ◽  
Use Of Models

Abstract:. This research was conducted on class V students of SD Negeri 179 Palembang, with the aim of knowing students' understanding of the percent material by using media download bars. The subjects in this study were 28 students with heterogeneous abilities. The research methodology used in this study is Design Research with a Realistic Mathematics Education (RME) approach. This study fulfilled five characteristics of RME, namely the use of laptops, computers and downloads of the internet (using of context), pictures of download bars (use of models), activities in LKK (pupil own creations and contributions), presentation and group discussion (interactivity) and problems change fractions into percent (intertwining). The results of this study indicate that students have been able to solve the percent problem by using media download bars.Keyword: Download Bar, Percent, RME, Design Research Abstrak: Penelitian ini dilakukan pada siswa kelas V SD Negeri 179 Palembang, dengan tujuan  mengetahui pemahaman siswa pada materi persen dengan menggunakan media download bar. Subjek pada penelitian ini sebanyak 28 siswa dengan kemampuan yang heterogen. Metodologi penelitian yang digunakan pada penelitian ini adalah  Design Research dengan pendekatan Realistic Mathematics Education (RME). Penelitian ini telah memenuhi lima karakteristik RME yaitu penggunaan laptop, computer dan download di internet (using of context), gambar bar download (penggunaan model), kegiatan pada LKK (pupil’s own creations and contributions), presentasi dan diskusi kelompok (interactivity) dan masalah merubah pecahan kedalam bentuk persen (intertwining). Hasil penelitian ini menunjukkan bahwa siswa telah mampu menyelesaikan soal persen dengan menggunakan media download bar.Kata Kunci: Download Bar, Persen, RME, Design Research 

scholarly journals Pengaruh Pendekatan Pendidikan Matematika Realistik Berbasis Etnomatematika terhadap Komunikasi Matematis Siswa Sekolah Dasar

2020 ◽  
Vol 3 (1) ◽  
pp. 30-34
Author(s):  
Suci Nooryanti ◽  
Sri Utaminingsih ◽  
Henry Suryo Bintoro
Keyword(s):  
Mathematics Education ◽  
Design Research ◽  
Sampling Technique ◽  
Simple Random Sampling ◽  
Homogeneity Test ◽  
Realistic Mathematics Education ◽  
Mathematical Communication ◽  
Class V ◽  
Realistic Mathematics ◽  
Communication Ability

The purposive of this study are (1) the average mathematical communication abilities of students who have learned by applying the ethnomatemics-based Realistic Mathematics Education approach, (2) the mastery of learning mathematical communication abilities of students who are taught with the Mathematics-Based Realistic Mathematics approach. This type of research is quantitative with true experimental design research design using the form of Posttest Only Control. The sample uses a simple random sampling technique and is carried out in class V SD 5 Jepang as an experimental class and class V SD 1 Gulang as a control class. Data collection techniques are tests of students' mathematical communication abilities. Data analysis techniques in this study include normality test, homogeneity test, average difference test and learning completeness test. The results showed that (1) the average mathematical communication ability of the experimental class students was higher than the average mathematical communication ability of control class students with expository learning; (2) students' mathematical communication abilities with ethnomatemicsbased Realistic Mathematics Education approach achieve mastery learning.

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 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 Bangun Datar melalui Pendekatan Realistic Mathematics Education (RME)

2020 ◽  
Vol 3 (1) ◽  
pp. 49-63
Author(s):  
Ratna Hadila ◽  
Sukirwan ◽  
Trian Pamungkas Alamsyah
Keyword(s):  
Mathematics Education ◽  
Design Research ◽  
Realistic Mathematics Education ◽  
Realistic Mathematics ◽  
Mathematic Education ◽  
Realistic Mathematic

Abstrak Tujuan penelitian ini adalah untuk menggetahui desain pembelajaran bangun datar melalui pendekatan Realistic Mathematics Education (RME).  Metode penelitian ini menggunakan metode desain reseach untuk menggetahui bagaiamana pendekatan RME dapat mendukung pemahaman siswa mengenai pengukuran luas. Teknik pengumpulan data menggunakan wawancara, observasi, tes dan dokumentasi. Hasil analisis diketahui bahwa dengan menggunakan kegiatan membandingkan, menggambar dan menghitung dapat membantu siswa mengembangkan pemahamannya mengenai konsep konservasi luas. Konsep ini dapat membantu siswa memahami pengertian luas dan pengukuran luas. Hal ini dimungkinkan bahwa dengan menggunakan pendekatan RME dapat membantu siswa  memahami konsep konservasi luas dapat membantu siswa mengukur luas persegi dan persegi panjang dengan mengubah bentuknya dan dapat menemukan luas tanpa mengunakan rumus. Kata Kunci : Pengukuran luas, Realistic Mathematic Education (RME), Design Research.

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