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STUDENTSâ€™ COGNITIVE PROCESSES IN SOLVING PROBLEM RELATED TO THE CONCEPT OF AREA CONSERVATION Ekawati, Rooselyna; Kohar, Ahmad Wachidul; Imah, Elly Matul; Amin, Siti Maghfirotun; Fiangga, Shofan
Journal on Mathematics Education Vol 10, No 1 (2019)
Publisher : Department of Doctoral Program on Mathematics Education, Sriwijaya University

This study aimed to determineÂ the cognitive processÂ employed in problem-solving related to the concept of area conservation for seventh graders.Â Two students with different mathematical ability were chosen to be the subjectsÂ of this research. Each of them was the representative of high achievers and low achievers based on a set of area conservation test.Â Results indicate that both samples performedÂ more cyclic processesÂ on formulating solution planning, regulating solution part and detecting and correcting error during the problem-solving. However, itÂ wasÂ found that theÂ highÂ achiever student performed some processes than those of low achiever. Also, while the high achiever student did not predict any outcomes of his formulated strategies, the low achiever did not carry out the thought process after detecting errors of the initial solution gained. About the concept of area conservation, the finding also reveals that within the samplesâ€™ cognitive processes, the use of area formula come first before students decided to look for another strategyÂ such as doingÂ â€˜cut-rotate-pasteâ€™ for the curved planes, which do not have any direct formula. The possible causes of the results were discussed to derive some recommendation for future studies.

DEDUCTIVE OR INDUCTIVE? PROSPECTIVE TEACHERSâ€™ PREFERENCE OF PROOF METHOD ON AN INTERMEDIATE PROOF TASK Siswono, Tatag Yuli Eko; Hartono, Sugi; Kohar, Ahmad Wachidul
Journal on Mathematics Education Vol 11, No 3 (2020)
Publisher : Department of Doctoral Program on Mathematics Education, Sriwijaya University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jme.11.3.11846.417-438

The emerging of formal mathematical proof is an essential component in advanced undergraduate mathematics courses. Several colleges have transformed mathematics courses by facilitating undergraduate students to understand formal mathematical language and axiomatic structure. Nevertheless, college students face difficulties when they transition to proof construction in mathematics courses. Therefore, this descriptive-explorative study explores prospective teachers' mathematical proof in the second semester of their studies. There were 240 pre-service mathematics teachers at a state university in Surabaya, Indonesia, determined using the conventional method. Their responses were analyzed using a combination of Miyazaki and Moore methods. This method classified reasoning types (i.e., deductive and inductive) and types of difficulties experienced during the proving. The results conveyed that 62.5% of prospective teachers tended to prefer deductive reasoning, while the rest used inductive reasoning. Only 15.83% of the responses were identified as correct answers, while the other answers included errors on a proof construction. Another result portrayed that most prospective teachers (27.5%) experienced difficulties in using definitions for constructing proofs. This study suggested that the analytical framework of the Miyazaki-Moore method can be employed as a tool to help teachers identify students' proof reasoning types and difficulties in constructing the mathematical proof.

Workshop Penulisan Artikel Ilmiah Moda Daring Bagi Guru SMA Kota Surabaya Pada Masa Pandemi Covid-19 Binar Kurnia Prahani; Tsuroyya Tsuroyya; Ahmad Wachidul Kohar; Slamet Setiawan
Dedication : Jurnal Pengabdian Masyarakat Vol 4 No 2 (2020)
Publisher : LPPM IKIP Jember

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31537/dedication.v4i2.358

Masih banyak guru berpangkat IV/a yang masih mengalami kesulitan untuk kenaikan pangkat berikutnya karena adanya persyaratan menullis karya tulis ilmiah. Para guru kurang pengetahuan dan kemampuan tentang pembuatan karya tulis ilmiah. Diperkuat adanya tantangan dan masalah yang dihadapi oleh guru terkait berlakunya Peraturan Menteri Negara Pendayagunaan Aparatur Negara dan Reformasi Birokrasi Nomor 16 Tahun 2009 tentang Jabatan Fungsional Guru dan Angka Kreditnya, yang mencantumkan syarat jika naik pangkat harus memiliki publikasi ilmiah. Masalah ini juga berdampak pada Guru SMA di Kota Surabaya yang masih banyak terhambat kenaikan pangkatnya karena tidak bisa menulis artikel di jurnal ilmiah. Kota Surabaya mulai menerapkan pembatasan sosial berskala besar (PSBB). Ini juga berdampak pada pelatihan atau workshop tidak bisa diadakan secara face-to-face. Hal tersebut telah menjadi masalah serius dan perlu alternatif solusi agar kualitas guru SMA di kota Surabaya tidak mengalami penurunan, khususnya keterampilan menulis artikel di jurnal nasional. Oleh karena itu, Gugus Kerjasama, Publikasi, dan Internasionalisai (KPI) Pascasarjana Univeristas Negeri Surabaya (Unesa) memberikan kontribusi positif dan nyata kepada guru SMA di kota Surabaya melalui Kegiatan Workshop Penulisan Artikel Ilmiah Moda Daring Pada Masa Pandemi Covid-19. Kegiatan ini terbukti dapat meningkatkan kualitas dari keterampilan menulis artikel ilmiah.

PENGEMBANGAN BUKU AJAR MATA KULIAH MATEMATIKA KONTEKSTUAL DILENGKAPI KONTEN DIGITAL Shofan Fiangga; Ahmad Wachidul Kohar; Evangelista Lus Windyana Palupi; Rooselyna Ekawati; Rini Setianingsih
AKSIOMA: Jurnal Program Studi Pendidikan Matematika Vol 11, No 1 (2022)
Publisher : UNIVERSITAS MUHAMMADIYAH METRO

Calon guru matematika masa depan perlu memiliki kemampuan dalam mendisain pembelajaran matematika yang mendukung siswa dalam mengembangkan kemampuan literasi matematis. Dari berbagai pendekatan pembelajaran yang ada, Realistic Mathematics Education (RME) merupakan salah satu pendekatan yang bisa mendukung kemampuan literasi matematis siswa. Artikel ini bertujuan membahas pengembangan buku yang menjadi rujukan guru/calon guru dalam melaksanakan pembelajaran RME yang inovatif. Model pengembangan pada penelitian ini menggunakan Plomp dengan langkah-langkah pengembangan buku ajar oleh Muslich. Buku Ajar yang dihasilkan menambahkan contoh-contoh praktik implementasi Matematika Realistik yang lebih variatif dan memberikan ilustrasi untuk tingkat SD, SMP dan SMA. Proses pengembangan buku ajar ini sudah melalui proses pengembangan buku ajar mata kuliah mulai dari analisis kebutuhan buku ajar yang berasal dari kesalahan-kesalahan mahasiswa dalam mengembangkan pembelajaran RME dan analisis buku referensi RME yang ada di Indonesia. Dari tahapan analisis kebutuhan, disusun peta bahan ajar dan rencana konten digital, Pada tahapan selanjutnya, buku ajar disusun dengan dilengkapi konten digital. Untuk kelayakan buku ajar dilakukan uji kevalidan dan uji keterbacaan, Validitas buku ajar mata kuliah Matematika Kontekstual bermuatan konten digital untuk mahasiswa pada mata kuliah Matematika Kontekstual ini pada aspek isi, format, Bahasa dan ilustrasi memenuhi kriteria baik. Sedangkan untuk hasil keterbacaan mencapai level baik kecuali pada beberapa pilihan kata masih belum baku.Future mathematics teacher candidates need to have the ability to design mathematics lessons that supports the students’ mathematical literacy skills. Realistic Mathematics Education (RME) as one of an approach in mathematics teaching has already proven to be able to help the development of mathematical literacy skills. This article aims to discuss the development of books that become a reference for teachers/prospective teachers in developing innovative RME learning. The development model in this study uses Plomp with the steps of developing a textbook by Muslich. The resulting textbook adds more varied examples of realistic mathematics implementation practices and provides illustrations for elementary, middle and high school levels. The process of developing this textbook has gone through the process of developing course textbooks starting from analyzing the needs of textbooks originating from student mistakes in developing RME learning and analyzing RME reference books in Indonesia. From the needs analysis stage, a map of teaching materials and plans for digital content are drawn up. At the next stage, textbooks are prepared with digital content. For the feasibility of the textbook, a validity test and readability test were carried out. The validity of the Contextual Mathematics course textbook containing digital content for students in this Contextual Mathematics course in the aspects of content, format, language and illustrations met the good criteria. Meanwhile, the readability results reached a good level, except for some word choices that were not standardized.

DEDUCTIVE OR INDUCTIVE? PROSPECTIVE TEACHERS’ PREFERENCE OF PROOF METHOD ON AN INTERMEDIATE PROOF TASK Tatag Yuli Eko Siswono; Sugi Hartono; Ahmad Wachidul Kohar
Journal on Mathematics Education Vol 11, No 3 (2020)
Publisher : Department of Doctoral Program on Mathematics Education, Sriwijaya University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jme.11.3.11846.417-438

The emerging of formal mathematical proof is an essential component in advanced undergraduate mathematics courses. Several colleges have transformed mathematics courses by facilitating undergraduate students to understand formal mathematical language and axiomatic structure. Nevertheless, college students face difficulties when they transition to proof construction in mathematics courses. Therefore, this descriptive-explorative study explores prospective teachers' mathematical proof in the second semester of their studies. There were 240 pre-service mathematics teachers at a state university in Surabaya, Indonesia, determined using the conventional method. Their responses were analyzed using a combination of Miyazaki and Moore methods. This method classified reasoning types (i.e., deductive and inductive) and types of difficulties experienced during the proving. The results conveyed that 62.5% of prospective teachers tended to prefer deductive reasoning, while the rest used inductive reasoning. Only 15.83% of the responses were identified as correct answers, while the other answers included errors on a proof construction. Another result portrayed that most prospective teachers (27.5%) experienced difficulties in using definitions for constructing proofs. This study suggested that the analytical framework of the Miyazaki-Moore method can be employed as a tool to help teachers identify students' proof reasoning types and difficulties in constructing the mathematical proof.

STUDENTS’ COGNITIVE PROCESSES IN SOLVING PROBLEM RELATED TO THE CONCEPT OF AREA CONSERVATION Rooselyna Ekawati; Ahmad Wachidul Kohar; Elly Matul Imah; Siti Maghfirotun Amin; Shofan Fiangga
Journal on Mathematics Education Vol 10, No 1 (2019)
Publisher : Department of Doctoral Program on Mathematics Education, Sriwijaya University

This study aimed to determine the cognitive process employed in problem-solving related to the concept of area conservation for seventh graders. Two students with different mathematical ability were chosen to be the subjects of this research. Each of them was the representative of high achievers and low achievers based on a set of area conservation test. Results indicate that both samples performed more cyclic processes on formulating solution planning, regulating solution part and detecting and correcting error during the problem-solving. However, it was found that the high achiever student performed some processes than those of low achiever. Also, while the high achiever student did not predict any outcomes of his formulated strategies, the low achiever did not carry out the thought process after detecting errors of the initial solution gained. About the concept of area conservation, the finding also reveals that within the samples’ cognitive processes, the use of area formula come first before students decided to look for another strategy such as doing ‘cut-rotate-paste’ for the curved planes, which do not have any direct formula. The possible causes of the results were discussed to derive some recommendation for future studies.

FLIP-STIK FOR FLIPPED CLASSROOM: STATISTICS LEARNING E-MODULE ASSISTED BY FLIPBOOK TO PROMOTE STUDENTS' NUMERACY Mayang Purbaningrum; Thoiffatul Khusnun Nisa'; Indri Rohmatul F. Febriani; Ahmad Wachidul Kohar
AKSIOMA: Jurnal Program Studi Pendidikan Matematika Vol 11, No 1 (2022)
Publisher : UNIVERSITAS MUHAMMADIYAH METRO

The existence of Covid-19 causes the need for learning innovations supporting online learning and numeracy to understand data. The integration of e-modules in flipbook on statistics material is expected to improve students' numeracy in online learning. This is a development study that aims to produce an e-module assisted by Flipbook which is valid and practical for learning statistics that has a potential effect on students' numeracy in a flipped classroom learning design.The e-module was developed through a formative evaluation stage involving 15 students of 8th grade junior high school. Data were collected and analyzed utilizing walkthroughs, questionnaires, interviews, and document review. Results indicate that the flipbook demonstrates the stages of flipped learning from out-of-class activities (independent learning experience at home, do assignments, and takes notes of less understandable) to in-class activities (deepening understanding of statistics through class discussions and working on problem-solving tasks). The flipbook developed meets the criteria of validity in terms of content and construct and ease of use. In addition, it has the potential effect to develop students' numeracy based on the document analysis of student responses regarding the process of formulating problems mathematically, employing formal mathematical structure, and interpreting solutions on a set of numeracy tasks.

Inconsistency Among Beliefs, Knowledge, and Teaching Practice in Mathematical Problem Solving: A Case Study of a Primary Teacher Tatag Yuli Eko Siswono; Ahmad Wachidul Kohar; Ika Kurniasari; Sugi Hartono
Southeast Asian Mathematics Education Journal Vol 7, No 2 (2017)
Publisher : SEAMEO Regional Centre for QITEP in Mathematics

This is a case study investigating a primary teacher’s beliefs, knowledge, and teaching practice in mathematical problem solving. Data was collected through interview of one primary teacher regarding his beliefs on the nature of mathematics, mathematics teaching, and mathematics learning as well as knowledge about content and pedagogy of problem solving. His teaching practice was also observed which focused on the way he helped his students solve several different mathematics problems in class based on Polya’s problemsolving process: understand the problem, devising a plan, carrying out the plan, and looking back. Findings of this study point out that while the teacher’s beliefs, which are closely related to his problem solving view, are consistent with his knowledge of problem solving, there is a gap between such beliefs and knowledge around his teaching practice. The gap appeared primarily around the directive teaching which corresponds to instrumental view he held in most of Polya’s process during his teaching practice, which is not consistent with beliefs and knowledge he professed during the interview. Some possible causes related to several associate factors such as immediate classroom situation and teaching practice experience are discussed to explain such inconsistency. The results of this study are encouraging, however, further studies still need to be conducted.

Design of Learning Activities using Rigorous Mathematical Thinking (RMT) Approach in Application of Derivatives Dayat Hidayat; Ahmad Wachidul Kohar; Nina Rinda Prihartiwi; Husni Mubarok; Abebayehu Yohannes
IJORER : International Journal of Recent Educational Research Vol. 2 No. 1 (2021): January
Publisher : Faculty of Teacher Training and Education Muhammadiyah University of Makassar

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.46245/ijorer.v2i1.75

Learning design is one of the factors that support the learning process in order to achieve learning objectives in all subjects including mathematics. Many approaches can be employed by a teacher in making learning design, one of which is rigorous mathematical thinking (RMT) approach. The RMT approach puts forward students actively in constructing their knowledge through the use of psychological tools and mediation. This article reports a set of learning activities designed through a developmental study using the RMT approach in the topic of application of derivatives. Participants of this research were twenty-six of 11th grade students from a private secondary school. Data were collected through written test and classroom observation. The research instruments were student worksheet and observation sheet. In the learning process, students use psychological tools to connect their previous knowledge to the material being studied. This makes students able to construct their own knowledge more thoroughly. On the other hand, with the mediation carried out by the teacher, students can focus more and understand each material well and bridge the conceptual errors. Based on the results of the study and some literature, Design of learning activities using Rigorous Mathematical Thinking (RMT) on application of derivative can be an alternative as effective learning.

Pendampingan Perancangan Pembelajaran Inovatif untuk Menghadapi Tuntutan Abad 21 Bagi Guru-Guru Matematika SMP Kabupaten Nganjuk Endah Budi Rahaju; Abdul Haris Rosyidi; Siti Khabibah; Ika Kurniasari; Ahmad Wachidul Kohar
Jurnal Pengabdian Masyarakat IPTEKS Vol 7, No 2 (2021): JURNAL PENGABDIAN MASYARAKAT IPTEKS
Publisher : Universitas Muhammadiyah Jember

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.32528/jpmi.v7i2.3829

Saat ini guru matematika didorong untuk dapat merancang pembelajaran yang diarahkan pada pencapaian tujuan pembelajaran matematika dan menjawab tantangan kecakapan abad 21, yaitu kemampuan berpikir logis, kritis, analitis, kreatif, cermat, teliti, serta mengembangkan kemampuan menggunakan matematika dalam pemecahan masalah. Untuk mencapai tujuan tersebut, diperlukan program pelatihan guru yang dapat mendorong guru untuk mendesain pembelajaran yang sesuai dengan tantangan tersebut, seperti dengan model pembelajaran berbasis proyek (project-based learning). Program pelatihan yang dirancang dalam PKM berfokus pada tujuan utama yaitu merancang pembelajaran berbasis proyek pada materi SMP. Mitra yang dipilih adalah guru-guru SMP yang tergabung dalam MGMP Kabupaten Nganjuk sebanyak 52 guru, yang mana peserta diminta untuk membuat rancangan pembelajaran matematika inovatif berbasis projek. Hasil evaluasi menunjukkan bahwa kegiatan pendampingan mendapat respon positif dari peserta berdasarkan hasil angket yang diberikan dan membuka peluang guru untuk menghasilkan rancangan pembelajaran sesuai dengan yang ditugaskan

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