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Journal : International Journal on Teaching and Learning Mathematics

Describing the phenomena of students’ representation in solving ill-posed and well-posed problems Imam Rofiki; Ika Santia
International Journal on Teaching and Learning Mathematics Vol 1, No 1 (2018): June (This issue published papers with authors/co-authors from 7 universities/in
Publisher : Universitas Islam Negeri Maulana Malik Ibrahim

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/ijtlm.v1i1.5713

Abstract

Mathematical representation is an essential aspect of mathematical problem-solving. But students’ ability of an accurate representation in ill-posed problem-solving is still very minimal compared to that in well-posed problem-solving. However, ill-posed problem supported mathematical abstraction used in mathematical concept understanding. This study described the representations used by mathematics education students in solving ill-posed and well-posed problems. Thirty Indonesian matematics education students have solved ill-well posed problems by using think-aloud. Researchers also collected data using a video recorder and a field note. Data were analyzed by a constant comparative method so that it was obtained the different characteristics of representations between solving ill-posed and well-posed problems. The finding of the study showed that verbal and symbolic representations were used by subjects to compute, detect, and correct error. They also justified their answers in ill-posed problem-solving. However, the visual representation was only used by first subject to identify and correct error. The subjects lacked to expose necessary information to solve the ill-posed problem compared to the well-posed problem.
Ethnomathematics and creativity study in the construction of batik based on fractal geometry aided by GeoGebra Eka Sulistyawati; Imam Rofiki
International Journal on Teaching and Learning Mathematics Vol 5, No 1 (2022): June (This issue published papers with authors/co-authors from 2 countries [Nige
Publisher : Universitas Islam Negeri Maulana Malik Ibrahim

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/ijtlm.v5i1.10883

Abstract

This study aims to describe geometric objects that used by students on constructing fractal batik using Geogebra, procedure that used to construct fractal batik design, and students creativity on the process of constructing fractal batik. The qualitative descriptive research was applies including data collection, data separation, data analysis and conclusions. The research data were obtained from 97 students of tadris mathematics IAIN Kediri. The research results showed that fractal batik was constructed from a single geometric shape and combination of 2, 3, and 4 single geometric shapes through steps (a) made basic patterns using geometric shapes in Geogebra, (b) Made New Tools to perform repetitions (iteration), (c) Determined the type of transformation that used to repeat the basic patterns, and (d) Constructed geometric fractal batik. Based on the creativity indicators fluency, 3 types of geometric fractals can be obtained, namely (a) Fractals with Repetition and Enlargement (FPB), (b) Fractals with Repetition and Change Position (FPS), and (c) Fractals with Mix Repetition (FPC). Based on the flexibility indicator, there are 32 basic geometric shapes that develop basic patterns by applying 15 types of transformation consist of Single Transformation, Double Transformation, Triple Transformation and Quadruple Transformation. Meanwhile, on the originality indicator, P3 is the basic shape that has been mostly developed into geometric fractal batik which is a combination of equilateral triangles and squares.
Integration of Islamic values in mathematical modeling through Model Eliciting Activities Based Learning Asfira Zakiatun Nisa'; Abdussakir Abdussakir; Imam Rofiki
International Journal on Teaching and Learning Mathematics Vol 6, No 1 (2023): June
Publisher : Universitas Islam Negeri Maulana Malik Ibrahim

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/ijtlm.v6i1.19686

Abstract

Mathematics learning integrated with Islamic values needs to be carried out to provide opportunities for students to study various sciences in one scope. Many Islamic schools (madrasah) still need to be taught by integrating mathematics and Islam. This study aims to introduce Islamic integrated mathematical modelling through Model Eliciting Activities based learning. The research method used was qualitative, with a literature review. This research used the Model Eliciting Activities, which guides learning integrated Islamic mathematics. Thus, educaters can apply the learning steps in class and can develop this research more broadly.
Student's creativity through the guided discovery-based task to eliminate mathematics difficulties Soewardini, Herfa Maulina Dewi; Meilantifa, Meilantifa; Rofiki, Imam
International Journal on Teaching and Learning Mathematics Vol 5, No 2 (2022): December (This issue published papers with authors/co-authors from 2 countries [
Publisher : Universitas Islam Negeri Maulana Malik Ibrahim Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/ijtlm.v5i2.9416

Abstract

Many students had difficulties in learning mathematics. The students have a problem in determining the divided lines, the height lines, and the weight lines in triangles by using the term. The lack of creativity is also a factor in the difficulty. This study aims to find out the creativity of students through the guided discovery-based task of the line in the triangle to eliminate the stress learning the material. The method used activity observation in completing the work by drawing according to the student's creativity indicator and the guided discovery-based task about a step of the divided lines, the height lines, and the weight lines in a triangle. It also uses task-based interviews. The result of the observation is that the students perform the activities according to the guided discovery step, namely stimulation, problem statement, data collection, data processing, verification, and generalization. Some students fall into the creative category. The result of the interview shows that students' difficulties eliminated with guidance according to guided discovery step. The conclusion is that students are creative with guided discovery based on the task of the concept of the triangle and can eliminate the difficulty of mathematics.
Integration of Islamic values in mathematical modeling through Model Eliciting Activities Based Learning Nisa', Asfira Zakiatun; Abdussakir, Abdussakir; Rofiki, Imam
International Journal on Teaching and Learning Mathematics Vol 6, No 1 (2023): June (This issue published papers with authors/co-authors from 2 countries [Unit
Publisher : Universitas Islam Negeri Maulana Malik Ibrahim Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/ijtlm.v6i1.19686

Abstract

Mathematics learning integrated with Islamic values needs to be carried out to provide opportunities for students to study various sciences in one scope. Many Islamic schools (madrasah) still need to be taught by integrating mathematics and Islam. This study aims to introduce Islamic integrated mathematical modelling through Model Eliciting Activities based learning. The research method used was qualitative, with a literature review. This research used the Model Eliciting Activities, which guides learning integrated Islamic mathematics. Thus, educaters can apply the learning steps in class and can develop this research more broadly.
Etnomathematics: exploration sanitary industry center of Malang Intsani, Nadila Choirunnisa'; Mukti, Taufiq Satria; Rofiki, Imam
International Journal on Teaching and Learning Mathematics Vol 5, No 2 (2022): December (This issue published papers with authors/co-authors from 2 countries [
Publisher : Universitas Islam Negeri Maulana Malik Ibrahim Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/ijtlm.v5i2.17886

Abstract

This study aims to explore the mathematical elements contained in the center of the sanitation industry in Malang City. The Sanitary Industry Setra is in the form of flower pots, gravestones, tombstones, fountains, hand washing stations, chairs, and so on. The object is an object of exploration based on an ethnomathematical point of view. This study uses a qualitative approach to the type of ethnographic research. The subjects in the study were sanitary ware craftsmen in the Karangbesuki area of Malang City. The subject is experienced and has a fairly large turnover. Data collection techniques in the study were carried out by observation or direct observation in the field, interviews, and also by studying literature. This research will provide evidence that without realizing it, people have applied the concepts of comparison, calculation and mathematical measurement in creating an object of crafts that have been carried out since ancient times. The mathematical implementation carried out by craftsmen produces crafts in the form of spatial geometric shapes such as: blocks, tubes, half balls, and others. In creating craft objects, researchers also found the concept result from geometric transformations such as: of translation, rotation, and also reflection on some of the crafts produced.
Ethnomathematics and creativity study in the construction of batik based on fractal geometry aided by GeoGebra Sulistyawati, Eka; Rofiki, Imam
International Journal on Teaching and Learning Mathematics Vol 5, No 1 (2022): June (This issue published papers with authors/co-authors from 2 countries [Nige
Publisher : Universitas Islam Negeri Maulana Malik Ibrahim Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/ijtlm.v5i1.10883

Abstract

This study aims to describe geometric objects that used by students on constructing fractal batik using Geogebra, procedure that used to construct fractal batik design, and students creativity on the process of constructing fractal batik. The qualitative descriptive research was applies including data collection, data separation, data analysis and conclusions. The research data were obtained from 97 students of tadris mathematics IAIN Kediri. The research results showed that fractal batik was constructed from a single geometric shape and combination of 2, 3, and 4 single geometric shapes through steps (a) made basic patterns using geometric shapes in Geogebra, (b) Made New Tools to perform repetitions (iteration), (c) Determined the type of transformation that used to repeat the basic patterns, and (d) Constructed geometric fractal batik. Based on the creativity indicators fluency, 3 types of geometric fractals can be obtained, namely (a) Fractals with Repetition and Enlargement (FPB), (b) Fractals with Repetition and Change Position (FPS), and (c) Fractals with Mix Repetition (FPC). Based on the flexibility indicator, there are 32 basic geometric shapes that develop basic patterns by applying 15 types of transformation consist of Single Transformation, Double Transformation, Triple Transformation and Quadruple Transformation. Meanwhile, on the originality indicator, P3 is the basic shape that has been mostly developed into geometric fractal batik which is a combination of equilateral triangles and squares.
Co-Authors . Haryanto ABAH, Joshua Abah Abdullah, Abdul Halim Abdur Rohim Abdur Rohim, Abdur Abdussakir Abdussakir Abdussakir Abdussakir Afif Lailatil Fitriyah Agung Sedayu Agus Prasetyo Kurniawan Agus Prasetyo Kurniawan, Agus Prasetyo Agustina, Leyna Dwi Ahmad Abtokhi Ahmad Choirul Anam Ahmad Choirul Anam Ahmad Nur Ghofir Mahbudin Ahnan Alex Alaiya , Syekha Vivi Alaiya, Syekha Vivi Alfi Syahrin Siregar Alfi Syahrin Siregar Alghar, Muhammad Zia Ali Shodikin Amelia, Riska Putri Amelia, Virda Fitri Anam, Ahmad Choirul Andini, Fahrany Wahyu Anita Dewi Utami Aqila Nur Ramadhani Arifin, Rachmita Aulia Mekatronika Arinda Puspita Sari Arrindha, Nasywa Asfira Zakiatun Nisa' Asfira Zakiatun Nisa' Asnawi, Muhammad Hasan Atiqotur Royyani Aulia Rahma Dewi Aulia Rahma Dewi Aura, Chansa Nabilla Azizah, Alfina Nur Barep Yohanes Basmallah, Anandita Sheila Basori Basori Basori Basori Bernadine, Nufe Auliya’ Cahyaningrum, Elaesa Putri Indah Chansa Nabilla Aura Cholida, Nur Cholis Sa’dijah Citra Maulidyah Rahmawati Nugroho Deddy Trisna Manunggal Desmalasari, Shinta Devita Amalia Dewaningrum, Maulidia Dewi Nur Aini Dewi Rosikhoh Dewi, Aulia Rahma Dewi, Vera Melinia Dhinok Yuliu Andarika Diah Wihardini Dian Eka Aprilia Fitria Ningrum Dimas Femy Sasongko Dwi Ema Hartiwi Dwi Noviani Eka Sulistyawati Eka Sulistyawati Eko Sugandi Eksanti, Yulia Anggita Elly Susanti Elva Riezky Maharany Endrik Nurrohman Ety Tejo Dwi Cahyowati Evita Madani Rianari Faizah, Hanim Faizah, Putri Nur Faizah, Siti Faizal Chandra Farabi, Muhammad Al Farihatul Hidayah Fauziyah, Septi Fatma Fazrin, Khamellisa Qobrina Febriani, Amida Syifa Febyanti, Adinda Isna Febyanti Isna Feti Nur Laily Fikriyah, I'anah El Firnanda, Ganis Irma Friyana, Salsabila Bunga Eka Guntur Kusuma Wardana Halimah, Ernik Nur Hapsari Dyaswardani Hasan Said Tortop Hayunda Chindya Natory Heni Pujiastuti Herfa Maulina Dewi Soewardini Heri Retnawati Herlina Ike Oktaviani Herlina, Lutfi Hery Susanto Hidayah, Farihatul Ifaqoti Liyusriha Ika Santia Ikawati, Nur Laili Ikawati Ikram, Muhammad Imam Muslimin Indhiadma Parnata Intan Sari Rufiana Intsani, Nadila Choirunnisa' Itsna Lailatul Mas’udah Itsna Lailatul Mas’udah Joshua Abah ABAH Joshua Abah ABAH Khasanah, Kholitdatul Khoirunnisa, Nabila Laily Putri Maharani Latifah, Eka Ratna Anjanuarti Lestariningsih Lestariningsih Lina Zumrotul Ulfa Liny Mardhiyatirrahmah Lita Wulandari Aeli Luqman Hidayat M. Nashihul Mukminin Maharani, Laily Putri Marhayati Maryam Faizah Maulidia Dewaningrum Maulidiawati, Tasya Meilantifa, Meilantifa Miftakhul Ilmi Suwignya Putra Miya Kristanti Mochamad Fadil Djamali Moh. Miftakhul Ulum Moh. Sholeh Moh. Sholeh, Moh. Mohammad Yusuf Randy Mokhamad Amin Hariyadi Muhammad Saefi Muslimin Muslimin Musrini Mutiara Sani Mutiara Sani Nanda Dwi Yanto Ningseh, Sinta Agustin Nisa', Asfira Zakiatun Nisa’, Asfira Zakiatun Novita Erni Hendrawati Nugraha, Wimawantika Hapsari Nugroho, Citra Maulidyah Rahmawati Nur Hidayah Hanifah Nur Rahmawati Nurzatulshima Kamaruddin Pandora, Misyel Parentianova, Fisca Mara Konita Permatasari, Intan Duri Possumah, Brazil Vargas Junior Pramudya, Stansa Senia Prastika, Heni Duwi Puguh Darmawan Putri Eka Sari PUTRI EKA SARI, PUTRI EKA Putri, Ayu Fitri S. R. Taufiqurrochman R. Taufiqurrochman Rafli Fayzul Haq Rahayuningsih , Sri Ramadhan Fazrianto Sawarman Ramadhani, Aqila Nur Ramdhan Fazrianto Suwarman Ramdhan Fazrianto Suwarman Ramila, Audiza Assyifa Rianari, Evita Madani Rina Pramita Sari Rina Pramitasari Riska Putri Amelia Rizki Amelia Rizki Amelia Rizki Radika Dalimunthe Sadiya, Hasna Inas Safitri , Shefira Salvabila Safitri, Friska Nur Indah Safitri, Shovia Salsabila, Shefira Sani , Mutiara Sani, Mutiara Sanidah, Sanidah Saputri, Oktavia Wahyuni Sari, Arinda Puspita Sasmi, Dewi Shinta Desmalasari Sholehah, Farida Lailatus Sholekah, Iis Sifaroh Efria Pramesti Siti Faizah Siti Nur Jamilatul Hasanah Siti Roziah Ria Famuji Siti Salina Mustakim Sjahrawi, Wilda Fakhira Slamet Slamet . Slamet Arifin Sri Rahayuningsih Sri Wahyuni Sri Wahyuni Stansa Senia Pramudya Stansa Senia Pramudya Subanji Suci Wulandari Sudirman Sudirman SURAYANAH . Susiswo Susy Kuspambudi Andaini Suwana, Charen Aldalia Syekha Vivi Alaiya Tasya Maulidiawati Taufiq Satria Mukti Tegar Eka Pramudia Tomi Listiawan Tortop, Hasan Said Trihandayani, Desy Tuti Mutia Ulfa Masamah Ulfa Masamah, Ulfa Ulfa, Lina Zumrotul Vera Melinia Dewi Vinka Daniyah Salsabila Wahyu Dwi Warsitasari Wahyu Dwi Warsitasari, Wahyu Dwi Wahyu Henky Irawan Wijayanti, Annis Az’zah Wilda Yumna Safitri Wilda Yumna Safitri Yuniawatika Yuyun Akmalia Zainuddin, M Zainudin, M