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Ariyadi Wijaya

(SCOPUS ID: 56427813700) Universitas Negeri Yogyakarta, Yogyakarta

Author-ID : 417171

Religion Arts Humanities Computer Science & IT Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Education Environmental Science Languange, Linguistic, Communication & Media Library & Information Science Mathematics Social Sciences Other

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A learning trajectory for probability: A case of game-based learning Wijaya, Ariyadi; Elmaini; Doorman, Michiel
Journal on Mathematics Education Vol. 12 No. 1 (2021): Journal on Mathematics Education
Publisher : Universitas Sriwijaya in collaboration with Indonesian Mathematical Society (IndoMS)

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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.

Comparing model-building process: A model prospective teachers used in interpreting students’ mathematical thinking Sapti, Mujiyem; Purwanto; Irawan, Edy Bambang; As’ari, Abdur Rahman; Sa’dijah, Cholis; Susiswo; Wijaya, Ariyadi
Journal on Mathematics Education Vol. 10 No. 2 (2019): Journal on Mathematics Education
Publisher : Universitas Sriwijaya in collaboration with Indonesian Mathematical Society (IndoMS)

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Mathematical thinking is an important aspect of mathematics education and, therefore, also needs to be understood by prospective teachers. Prospective teachers should have the ability to analyze and interpret students’ mathematical thinking. Comparing model is one of the interpretation models from Wilson, Lee, and Hollebrands. This article will describe the prospective teacher used the model of the building process in interpretation students' mathematical thinking. Subjects selected by considering them in following the students’ strategies in solving the Building Construction Problem. Comparing model is a model of interpretation in which a person interprets student thinking based on student work. There are two types comparing model building process prospective teacher use in interpreting students’ mathematical thinking ie. comparing work and comparing knowledge. In comparing works, prospective teachers use an external representation rubric. This is used to analyze student activities in order to provide an interpretation that is comparing the work of students with their own work. In comparing knowledge, prospective teachers use internal representation rubrics to provide interpretation by comparing the students' work with their knowledge or thought.

Diagnosing students’ learning difficulties in the eyes of Indonesian mathematics teachers Wijaya, Ariyadi; Retnawati, Heri; Setyaningrum, Wahyu; Aoyama, Kazuhiro; Sugiman
Journal on Mathematics Education Vol. 10 No. 3 (2019): Journal on Mathematics Education
Publisher : Universitas Sriwijaya in collaboration with Indonesian Mathematical Society (IndoMS)

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Teachers’ diagnostic practice on students-difficulties is one of the important steps in designing and managing classroom lessons. The purpose of this study was to explore teachers’ perception and practices regarding diagnosing students’ learning difficulties. The participants of the study were 28 Indonesian mathematics teachers of Junior High School. The data was collected through a Focus Group Discussion and a teacher questionnaire. The data were analyzed qualitatively to describe how the teachers perceive learning difficulties and how the teachers diagnosed students’ learning difficulties. The results of the analysis reveal that the teachers do not yet perform an in-depth diagnosis of students’ difficulties in learning mathematics. The teachers only focus on the mathematics topics and non-mathematical issues, instead of on students’ thinking process. The teachers also do not differentiate the diagnosis, evaluation, and prediction test. With regard to the strategies used by the teachers to diagnose students’ difficulties, analyzing students’ responses to tests was the majority. In this respect, observing students’ learning process during classroom activities is rarely done by the teachers in the purpose of diagnosing students’ learning difficulties. The results of the diagnosis are mainly used as the basis for remedial and drill and practices. The results imply that more support is needed for teachers to improve their competences particularly in diagnosing students’ thinking process difficulties when learning mathematics.

Co-Authors Abdur Rahman As’ari Adawiya, Robiatul Afifah Nur Indah Sari Agus Maman Abadi Ai Sadidah Amirah Andini, Anggia Dwi Angga Kristiyajati Aoyama, Kazuhiro Aprisal Aprisal, Aprisal Ardiyaningrum, Martalia Arma Wangsa ARTHUR BAKKER Aryani, Anggi Erna Asri Fauzi Ayu Arfiana Caturiyati Caturiyati Cholis Sa’dijah Diah Ayu Indraningtias Diena Frentika Dwi Oktarina, Anisa Dyahsih Alin Sholihah Edy Bambang Irawan Eka Zuliana Eki Rahmad Elmaini Elmaini Elmaini Elmaini, Elmaini Ernawati Ernawati Erni Puji Astuti Fadlila, Nindy Fanggidae, Janrino Junus Rivaldi Fani Yunida Anggraheni Farida Hanum Fauzi, Asri Fevi Rahmawati Suwanto Firdaus, Andi Mulawakkan Fitri Yana Habibullah, Habibullah Hajra Yansa Heri Retnawati Heru Tri Novi Rizki Hilmi, Irfan Idza Nudia Linnusky Iman, Asrul Nur Ivan Luthfi Ihwani, Ivan Luthfi Ivone Marlinda Julham Hukom Kamsurya, Marwa Astriani Kazuhiro Aoyama Khasanah Nur Hidayah Khoriatul Muslimah Kismiantini Kismiantini Lintuman, Aryadi Maria Evarista Oktaviane Barut Barut Marsigit Marsigit Marwa Astriani Kamsurya MICHIEL DOORMAN Michiel Doorman MICHIEL DOORMAN, MICHIEL Mohamad Salam Mujiyem Sapti Mujiyem Sapti Muqoddaroh, Fadillatul Naing, Ince Rezky Neni Ferli Yanti Nurhayati, Elis PAUL DRIJVERS Puad, Nisrina Fauziyyah Purwanto Purwanto Purwanto Purwanto Purwanto Putri, Lilis Risma Raden Rosnawati Rahayu Condro Murti Rahma Dewi Indrayanti Rahman, Gusti Arviana Rahmawati Suwanto, Fevi Rahmi Ramadhani Rashid, Salman Riawan Yudi Purwoko Rina Febriana Rino Richardo Rino Richardo Rizqona Maharani, Rizqona Rosalia Hera Novita Sari Safira, Silvie Salido, Achmad Santos, Mariano Dos Simanjuntak, Sinta Dameria Siti Irene Astuti D Siti Mufidah Sitti Mutia Umasugi Suci Pawening Gati Sugiman Sugiman Sugiman Sugiman Sugiman Sugiman Sugiman Sugiman Sugiman Susiswo Suwanto, Fevi Rahmawati Syukrul Hamdi Tista Sugiarti Tuharto Tuharto Ulfa, Charina Vevi Arini Azizatus Sufaidah Wahyu Setyaningrum Wahyudi, Andi Widi Astuti Winda Nur Akhadya Wiwik Haryanti Yusuf Rahmat Setyawan Zafrullah, Zafrullah Zea Zisman Usman

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