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

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.

2020 ◽  
Vol 4 (2) ◽  
pp. 100
Author(s):  
Maryati Maryati ◽  
Rully Charitas Indra Prahmana

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.


2014 ◽  
Vol 3 (3) ◽  
Author(s):  
Irkham Ulil Albab ◽  
Yusuf Hartono ◽  
Darmawijoyo Darmawijoyo

Abstrak: Penelitian ini bertujuan untuk mendeskripsikan kemajuan belajar siswa pada materi geometri transformasi yang didukung dengan serangkaian aktivitas belajar berdasarkan Pendidikan Matematika Realistik Indonesia. Penelitian didesain melalui tiga tahap, yaitu tahapan perancangan desain awal, pengujian desain melalui pembelajaran awal dan pembelajaran eksperimental, dan tahap analisis retrospektif. Dalam penelitian ini, Hypothetical Learning Trajectory, HLT (HLT) berperan penting sebagai desain pembelajaran sekaligus instrumen penelitian. HLT diujikan terhadap 26 siswa kelas VII. Data dikumpulkan dengan teknik wawancara, pengamatan, dan catatan lapangan. Hasil penelitian menunjukkan bahwa desain pembelajaran ini mampu menstimulasi siswa untuk memberikan karakteristik refleksi dan transformasi geometri lainnya secara informal, mengklasifikasikannya dalam transformasi isometri pada level kedua, dan menemukan garis bantuan refleksi pada level yang lebih formal. Selain itu, garis bantuan refleksi digunakan oleh siswa untuk menggambar bayangan refleksi dan pola pencerminan serta memahami bentuk rotasi dan translasi sebagai kombinasi refleksi adalah level tertinggi. Keyword: transformasi geometri, kombinasi refleksi, rotasi, translasi, design research,HLT STUDENTS’ LEARNING PROGRESS ON TRANSFORMATION GEOMETRY USING THE GEOMETRY REFLECTION ACTIVITIES Abstract: This study was aimed at describing the students’ learning progress on transformation geometry supported by a set of learning activities based on Indonesian Realistic Mathematics Education. The study was designed into three stages, that is, the preliminary design stage, the design testing through initial instruction and experiment, and the restrospective analysis stage. In this study, Hypothetical Learning Trajectory (HLT) played an important role as an instructional design and a research instrument. HLT was tested to 26 seventh grade students. The data were collected through interviews, observations, and field notes. The findings of the study showed that this instructional design could stimulate students to provide reflection characteristics and other transformation geometry informally, to classify them in the transformation isometry in the second level, and to find the reflection supporting line in the more formal level. In addition, the reflection supporting line was used by the students to draw the reflection image and the mirroring pattern and to understand the rotation and translation shapes as a combination of reflection at the highest level. Keyword: geometric transformation, rotation, translation, and HLT


2015 ◽  
Vol 5 (1) ◽  
pp. 49-62
Author(s):  
Rully Charitas Indra Prahmana

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.


Author(s):  
Irianto Aras ◽  
Hermansyah Hermansyah ◽  
Jero Budi Darmayasa

Abstract:This study aims at determining the role of the number line media in helping students understand and obtain local instructional theory in learning integer operations in the 4th Grade of Madrasah Ibtidaiyah in Tarakan. This research is design with three stages, namely preliminary design, experimental design, and retrospective analysis. In the preliminary design stage, a number line media along with the hypothetical learning trajectory is made. Then the teaching experiment is conducted to compare the expected learning trajectory with the actual learning trajectory that takes place. In the final stage, a retrospective analysis is carried out by viewing the video recording of learning and evaluation results. From the analysis, it was found that the use of number lines can help students to understand the operations of addition and subtraction of integers. This study also developed local instructional theory related to learning integers using number lines.Abstrak:Penelitian ini bertujuan untuk mengetahui peranan media garis bilangan dalam membantu pemahaman siswa serta mengembangkan teori instruksional lokal (local intructional theory) pada pembelajaran operasi bilangan bulat di kelas IV di salah satu Madrasah Ibtidaiyah di Kota Tarakan. Desain penelitian ini terdiri dari tiga tahap, yaitu desain pendahuluan, desain percobaan, dan analisis retrospektif. Pada tahap desain pendahuluan dilakukan pembuatan media garis bilangan beserta dugaan lintasan belajar, kemudian dilakukan percobaan pengajaran untuk membandingkan lintasan belajar yang diharapkan dengan lintasan belajar yang sesungguhnya terjadi. Pada tahap akhir dilakukan analisis retrospektif dengan melihat rekaman video pembelajaran dan hasil evaluasi. Dari analisis tersebut ditemui bahwa penggunaan garis bilangan dapat membantu siswa untuk memahami operasi penjumlahan dan pengurangan bilangan bulat. Penelitian ini juga mengembangkan teori instruksional lokal terkait pembelajaran bilangan bulat menggunakan garis bilangan.


2020 ◽  
Vol 9 (1) ◽  
pp. 47-58
Author(s):  
Farida Nursyahidah ◽  
Bagus Ardi Saputro ◽  
Irkham Ulil Albab ◽  
Fifin Aisyah

AbstrakSebagian besar siswa masih mengalami kesulitan dalam belajar kerucut. Oleh karena itu diperlukan pendesainan lintasan belajar materi tersebut menggunakan konteks dan media yang tepat. Penelitian ini bertujuan untuk menghasilkan Learning Trajectory Based Instruction (LTBI) materi kerucut menggunakan konteks tradisi Syawalan masyarakat Pekalongan yaitu Megono Gunungan yang dikemas dalam bentuk video interaktif. Penelitian ini menggunakan design research yang dikembangkan oleh Gravemeijer dan Cobb yang terdiri dari tiga tahap yaitu: preliminary design, design of the experiment (pilot experiment and teaching experiment), dan retrospective analysis. Namun, artikel ini memaparkan hasil pada tahap pertama, yaitu tahap preliminary design. Subjek penelitian ini adalah siswa kelas IX SMP N 38 Semarang. Dalam penelitian ini dihasilkan LTBI yang terdiri dari serangkaian aktivitas pembelajaran, yaitu: (1) mengidentifikasi bagian-bagian kerucut melalui video interaktif Megono Gunungan, (2) menemukan luas permukaan kerucut dengan menggunakan jaring-jaring kerucut, (3) menemukan volume kerucut dengan menggunakan media beras, dan (4) menyelesaikan masalah kontekstual yang berkaitan dengan kerucut. Selanjutnya, siswa diharapkan dapat lebih mudah memahami materi kerucut melalui beberapa aktivitas yang telah didesain. Development of Learning Based on Trajectory Material Cone Middle School Using Megono Gunungan AbstractMost students still experience difficulties in learning cones. Therefore it is necessary to design the learning trajectory of the material using the right context and media. This study aims to produce Learning Trajectory Based Instruction (LTBI) cone material using the context of the Pekalongan community's Syawalan tradition, Megono Gunungan, which is packaged in the form of interactive video. This study uses design research developed by Gravemeijer and Cobb which consists of three stages: preliminary design, design of the experiment (pilot experiment and teaching experiment), and retrospective analysis. However, this article presents the results of the first stage, the preliminary design stage. The subjects of this study were students of class IX SMP N 38 Semarang. In this study LTBI produced consisting of a series of learning activities, namely: (1) identifying cone sections through interactive video Megono Gunungan, (2) finding the surface area of the cone by using cone nets, (3) finding the volume of the cone by using rice media, and (4) resolve contextual problems related to cones. Furthermore, students are expected to more easily understand the cone material through several activities that have been designed.


Structures ◽  
2021 ◽  
Vol 31 ◽  
pp. 395-405
Author(s):  
Arsalan Alavi ◽  
Elena Mele ◽  
Reza Rahgozar ◽  
Ehsan Noroozinejad Farsangi ◽  
Izuru Takewaki ◽  
...  

1999 ◽  
Vol 36 (03) ◽  
pp. 171-174
Author(s):  
Hüseyin Yilmaz ◽  
Abdi Kükner

It is well known that stability is the most important safety requirement for ships. One should have some information on ship stability at the preliminary design stage in order to reduce risk. Initial stability of ships is an important criterion and can be closely evaluated in terms of form parameters and vertical center of gravity. In this study, using some sample ship data, approximate formulations are derived by means of regression analysis for the calculations expressed in terms of ship preliminary design parameters that can easily provide approximate GM calculations. Thus designers can be provided with ship stability at the preliminary design stage, and also a set of appropriate design parameters for improving vessel stability can easily be determined.


2021 ◽  
Author(s):  
Sacheen Bekah

This thesis presents the use of Finite Element (FE) based fatigue analysis to locate the critical point of crack initiation and predict life in a door hinge system that is subjected to both uni-axial and multi-axial loading. The results are experimentally validated. The FE model is further used to obtain an optimum design per the standard requirement in the ground vehicle industry. The accuracy of the results showed that FE based fatigue analysis can be successfully employed to reduce costly and time-consuming experiments in the preliminary design stage. Numerical analysis also provides the product design engineers with substantial savings, enabling the testing of fewer prototypes.


2021 ◽  
Author(s):  
Sacheen Bekah

This thesis presents the use of Finite Element (FE) based fatigue analysis to locate the critical point of crack initiation and predict life in a door hinge system that is subjected to both uni-axial and multi-axial loading. The results are experimentally validated. The FE model is further used to obtain an optimum design per the standard requirement in the ground vehicle industry. The accuracy of the results showed that FE based fatigue analysis can be successfully employed to reduce costly and time-consuming experiments in the preliminary design stage. Numerical analysis also provides the product design engineers with substantial savings, enabling the testing of fewer prototypes.


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