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Journal : Journal of Research and Advances in Mathematics Education

Developing Learning Trajectory Based Instruction of the Congruence for Ninth Grade Using Central Java Historical Building Context Fahrurozi, Achmad; Maesaroh, Suci; Suwanto, Imam; Nursyahidah, Farida
(JRAMathEdu) Journal of Research and Advances in Mathematics Education Vol 3, No 2 (2018)
Publisher : Universitas Muhammadiyah Surakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.23917/jramathedu.v3i2.6444

Abstract

This research aims to produce a Learning Trajectory Based Instrucsion (LTBI) that can help students understand the concept of congruence of two-dimensional shape using the context of central java historcal building that it is known as Lawang Sewu in the ninth grade. LTBI is defined as a teaching and learning trajectory that used HLT for instructional decisions. The type of the research used by the researcher in this study is the design research developed by Gravemeijer and Cobb, that consist of three phases, namely (1) the preliminary design, (2) design of the experiment (pilot experiment and teaching experiment), and (3) the retrospective analysis. In this study, a series of learning activities designed and developed based on the approach of Realistic Mathematics Education or in Indonesian version is PMRI. This research produced Learning Trajectory Based Instruction that consist of a series of learning process in three activities, namely identifying and finding the properties of congruence shapes by watching Lawang Sewu vidoe, proofing two congruence shape with transformation (translation and rotation), and solving problem related to congruence of two-dimensional shape. From the activity being performed can help to improve the understanding of the students in the material of congruence. The researcher’ exposure in this paper is limited to the first stage of the design research developed by Gravemeijer and Cobb namely preliminary design.
Developing Learning Trajectory Based Instruction of the Congruence for Ninth Grade Using Central Java Historical Building Fahrurozi, Achmad; Maesaroh, Suci; Suwanto, Imam; Nursyahidah, Farida
JRAMathEdu (Journal of Research and Advances in Mathematics Education) Vol. 3, No. 2, July 2018
Publisher : Department of Mathematics Education, Universitas Muhammadiyah Surakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.23917/jramathedu.v3i2.6616

Abstract

This research aims to produce a Learning Trajectory Based Instruction (LTBI) that can help the ninth grade students understand the concept of congruence of the two-dimensional shape by examining Lawang Sewu as one of Central Java historical buildings. LTBI is defined as a teaching and learning trajectory that uses Hypothetical Learning Trajectory (HLT) for instructional decisions. The present research uses the design research developed by Gravemeijer and Cobb that consists of three phases; the preliminary design, design of the experiment (pilot experiment and teaching experiment), and  retrospective analysis. In this study, a series of learning activities is designed and developed based on the Realistic Mathematics Education (PMRI) approach. This research produced LTBI that consists of a series of learning processes embodied in three activities of (1) identifying and finding the properties which shapes are congruent shapes by watching Lawang Sewu video, (2) proofing two shapes are congruent through transformation (translation and rotation), and (3) solving problem related to the congruence of two-dimensional shape. The activity can help to improve the students’ understanding of the concept of congruence. Nevertheless, the present study is limited to the first stage of Gravemeijer and Cobb’s design research, namely preliminary design.
A Secondary Student’s Problem Solving Ability in Learning Based on Realistic Mathematics with Ethnomathematics Nursyahidah, Farida; Saputro, Bagus Ardi; Rubowo, Maya Rini
JRAMathEdu (Journal of Research and Advances in Mathematics Education) Vol. 3, No. 1, January 2018
Publisher : Department of Mathematics Education, Universitas Muhammadiyah Surakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.23917/jramathedu.v3i1.5607

Abstract

The aim of this research is to describe profile of problem solving ability of secondary students with high mathematical ability in learning based on realistic mathematics supported by ethnomathematics. This study is descriptive qualitative reasearch. The method of data collection used in this study are written test and interview. Subject of this study is secondary students on class VIIIA SMPN 37 Semarang. The data analysed in this study is problem solving ability which is suitable to problem solving ability of Polya and result of an interview to research subject. The result of this study is profile of problem solving ability of the high mathematical ability student is very good. The student problem solving ability starting from understanding the problem completely and make good planning to solve the problem, then he can do the correct process and produce the right answer. In addition, he could look back the process but still uncomplete yet. Furthermore, hopefully this result will help the teacher in choosing the appropriate strategy or instructional approach in order to improve the students problem solving ability.
Developing Learning Trajectory Based Instruction of the Congruence for Ninth Grade Using Central Java Historical Building Achmad Fahrurozi; Suci Maesaroh; Imam Suwanto; Farida Nursyahidah
JRAMathEdu (Journal of Research and Advances in Mathematics Education) Vol. 3, No. 2, July 2018
Publisher : Department of Mathematics Education, Universitas Muhammadiyah Surakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.23917/jramathedu.v3i2.6616

Abstract

This research aims to produce a Learning Trajectory Based Instruction (LTBI) that can help the ninth grade students understand the concept of congruence of the two-dimensional shape by examining Lawang Sewu as one of Central Java historical buildings. LTBI is defined as a teaching and learning trajectory that uses Hypothetical Learning Trajectory (HLT) for instructional decisions. The present research uses the design research developed by Gravemeijer and Cobb that consists of three phases; the preliminary design, design of the experiment (pilot experiment and teaching experiment), and  retrospective analysis. In this study, a series of learning activities is designed and developed based on the Realistic Mathematics Education (PMRI) approach. This research produced LTBI that consists of a series of learning processes embodied in three activities of (1) identifying and finding the properties which shapes are congruent shapes by watching Lawang Sewu video, (2) proofing two shapes are congruent through transformation (translation and rotation), and (3) solving problem related to the congruence of two-dimensional shape. The activity can help to improve the students’ understanding of the concept of congruence. Nevertheless, the present study is limited to the first stage of Gravemeijer and Cobb’s design research, namely preliminary design.
Learning design of lines and angles for 7th -grade using Joglo traditional house context Hartono Hartono; Farida Nursyahidah; Widya Kusumaningsih
JRAMathEdu (Journal of Research and Advances in Mathematics Education) Volume 6 Issue 4 October 2021
Publisher : Department of Mathematics Education, Universitas Muhammadiyah Surakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.23917/jramathedu.v6i4.14592

Abstract

Lines and angles are essential for students because of geometry and its many applications in daily life. However, there are still many students who have difficulty grasping the material. Therefore, it is necessary to design learning using the right approach, context, and media. This study aims to produce a learning trajectory that can assist students in understanding the concept of lines and angles, maximize the effectiveness and efficiency of learning, create meaningful learning, and motivate student learning. This study used the Joglo Traditional House context as a starting point and the design research method developed by Gravemeijer and Cobb with three main steps: preparing for the experiment, designing the experiment (pilot experiment and teaching experiment), and retrospective analysis. However, in design experiment step is limited to the pilot experiment. In this study, all activities were designed based on Indonesian Realistic Mathematics Education. It involves six 7th-grade students from one of the junior high schools at Juwana Resident with three different abilities, namely two students for each level with high, moderate, and low ability. The learning trajectory generated in this study consists of a series of learning processes in four activities that can be used to develop local instructional theories and develop designs for further activities. Those are observing Joglo traditional house video for understanding lines and angles concepts, deducing line positions, discovering the angles' properties on parallel lines intersected by other lines, and solving lines and angles problems.
A Secondary Student’s Problem Solving Ability in Learning Based on Realistic Mathematics with Ethnomathematics Farida Nursyahidah; Bagus Ardi Saputro; Maya Rini Rubowo
JRAMathEdu (Journal of Research and Advances in Mathematics Education) Vol. 3, No. 1, January 2018
Publisher : Department of Mathematics Education, Universitas Muhammadiyah Surakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.23917/jramathedu.v3i1.5607

Abstract

The aim of this research is to describe profile of problem solving ability of secondary students with high mathematical ability in learning based on realistic mathematics supported by ethnomathematics. This study is descriptive qualitative reasearch. The method of data collection used in this study are written test and interview. Subject of this study is secondary students on class VIIIA SMPN 37 Semarang. The data analysed in this study is problem solving ability which is suitable to problem solving ability of Polya and result of an interview to research subject. The result of this study is profile of problem solving ability of the high mathematical ability student is very good. The student problem solving ability starting from understanding the problem completely and make good planning to solve the problem, then he can do the correct process and produce the right answer. In addition, he could look back the process but still uncomplete yet. Furthermore, hopefully this result will help the teacher in choosing the appropriate strategy or instructional approach in order to improve the students problem solving ability.
Co-Authors Achmad Buchori Achmad Dwi Fitrianto Achmad Fahrurozi Adventino Rendra Rosario, Marcel Afinda Azimatul Khusna Agnita Siska Pramasdyahsari, Agnita Siska Ahmad, Dzulfiqar Issac Aidha Aprilia Puji Lestari Aidha Aprilia Puji Lestari Aina Dinda Yuzaefa Aini Istikomah Aisyah, Fifin Akbar, Moch. Arif Maulana Akhmad Mutohhar Al Rosyid, Muhammad Dody Ali Shodiqin Amahsyah, Inaroh Ghoisani Amalia Yulianti, Masayu Amalia, Ayu Rahma Amira Saputri Andzin, Nadya Syifa Anriany Casanova Arfilia Wijayanti Arief Danang Setyawan Arif Wibisono Arneta Mayandha Ariyani Aryo Andri Nugroho Asokawati, Indhi Atmaja, Satriya Adika Arif Aurora Nur Aini Bagus Ardi Saputro Bagus Ardi Saputro Berliana Putri Melati Berliantina Hasna Tsabita Casanova, Anriany Chindy Arneta Insriastuti Choirul Huda Cholidah Hanum Denti Zaedatul Khaeriyah Devi Ariyanti Lestari Devi Asfira Fitriani Devi Ayundo Putri Dewi Ulfatunni’mah Dina Lita Sari Dina Lita Sari Dina Prasetyowati Djoko Purnomo Djoko Purnomo Duwi Nuvitalia Dwi Hardiyanto DYAH LUTHFISARI Dzulfiqar Issac Ahmad Eko Retno Mulyaningrum Eko Susilo, Bambang El Vania Fitriyana Elsa Septiani Rintho Miharjo Ervina Eka Subekti Estiyani Estiyani Fahrurozi, Achmad Fakhrezi, Fanny Fanny Fakhrezi Farenti Bhakti Nagari Febriansyah, Muhammad Aldo fibrianti, nurlaily Fifin Aisyah Fitri Lestari, Fitri Fitriani, Sonia Dewi Friska Anggun Cintami FX. Didik Purwosetiyono Hardiyanto, Dwi Hartono Hartono Hartono Hartono Hartono Hartono Hartono Heni Purwati Henry Januar Saputra Husni Wakhyudin Ika Syafitri Imam Suwanto Indriastuti, Sabrina Intan Indiati Irkham Ulil Albab Izzati Prisanto, Zulfa Julaikah Julaikah Kalimatussya'diyah, Siti Kartinah Kartinah, Kartinah Karunia Suhono Kholidatul Muna KOERUNISA', ULFIANA Kristina Wijayanti Lestari, Aidha Aprilia Puji Lilik Ariyanto Lilik Poncowati Lukman Harun M Saifuddin Zuhri Maesaroh, Atika Tri Maesaroh, Suci Maflakhah Maflakhah Majid, Panji Maulana Marsha Anindya, Faisa Mas’ud Hadad Royhan Maya Rini Rubowo Maya Riri Rubowo Mentari Dharma Santi Mila Ilfiana Mudzanatun Mudzanatun Muhammad Agus Supriyanto Muhammad Fajrul Muwafiqillah Muhammad Fuji Abadi Muhammad Prayitno Muhammad Prayito Muhammad Saifuddin Zuhri Muhammad Saifuddin Zuhri Muhtarom Naili Hidayati Niken Wulandari Niswatun Hasanah Nizaruddin Nizaruddin Noer, Hamidah Nurina Happy NURITA DWI HARYANTI Nurul Aula Rahmawati Nurul Dian Pertiwi Nurun Nadzifah Padmi Susilawati Pratama, Sonny Andika Yudi Prawitasuri, Chintya Dewi Puspita Agustiani, Ika Rahmawati, Eka Ratu Ilma Indra Putri Richo Hartanto Ridwan Cahyo Widodo Rina Dwi Setyawati Rinowati, Awaliyah Rizky Esti Utami, Rizky Esti Roswanti, Roswanti Royhan, Mas’ud Hadad Rr Nirmala Hapsari Dewi RR. Ella Evrita Hestiandari Safira, Ulya Saputo, Bagus Ardi Saputro, Bagus Ardi Sari, Khofifah Arum Sari, Putri Yulia Puspita Scolastika Mariani Serli Himmatus Suroyya Somakim, Somakim Suci Maesaroh Sudargo Sudargo Sudargo Sugiyanti Sugiyanti Sukowati, Dinda Iren Supandi Supriyanto, Muhammad Agus Suwanto, Imam Suyoto Syarifah, Nining Nur Tuni'mah, Lattifah Tuni’mah, Lattifah Ulin Nikmah Vionika Azuhro Virgin, Novela Simpatika Wardono Wardono Wardono Widodo, Ridwan Widodo, Ridwan Cahyo Widya Kusumaningsih Widya Kusumaningsih Yanuar Hery Murtianto Yaya, Muhammad Helmi Yerlina Oktavianita Ardi Yuliati, Fari Ani Zaqiyatul Muna