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Journal : Journal on Mathematics Education

Examining the pedagogical content knowledge of in-service mathematics teachers on the permutations and combinations in the context of student mistakes Matitaputty, Christi; Nusantara, Toto; Hidayanto, Erry; Sukoriyanto
Journal on Mathematics Education Vol. 13 No. 3 (2022): Journal on Mathematics Education
Publisher : Universitas Sriwijaya in collaboration with Indonesian Mathematical Society (IndoMS)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jme.v13i3.pp393-414

Abstract

Permutations and combinations are generally taught by requiring students to memorize formulas and solve problems using the appropriate formula. Students who learn these topics may succeed in gaining high scores on end-of-chapter exams in textbooks, while lacking the conceptual understanding required to deal with problems in the real world. Therefore, this study aimed to examine in-service mathematics teachers' pedagogical content knowledge (PCK) to determine students’ mistakes in solving permutations and combinations problem and their teaching strategies to eliminate these errors. Data were collected by distributing vignettes, CoRe, and PaP-eRs to thirteen mathematics teachers from ten provinces in Indonesia after they finished an online professional teacher education program to determine their PCK in teaching permutations and combinations. The data collected were analyzed qualitatively using a content analysis approach to obtain categories inductively. The result showed that PCK of in-service mathematics in teaching permutations and combinations was observed by identifying student mistakes conceptually and procedurally, even though some could not determine their mistakes in permutations. On the other hand, the knowledge of instructional strategies can engage all students in active learning, but most of them only give general answers. Furthermore, an in-depth understanding of permutations and combinations topic is needed to support the development of teachers’ pedagogic competencies sustainably. The contribution of this research will be of interest to curriculum development and mathematics educators.
How mathematics teachers' special knowledge changing: A case study in the Professional Teacher Education program Matitaputty, Christi; Nusantara, Toto; Hidayanto, Erry; Sukoriyanto
Journal on Mathematics Education Vol. 15 No. 2 (2024): Journal on Mathematics Education
Publisher : Universitas Sriwijaya in collaboration with Indonesian Mathematical Society (IndoMS)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jme.v15i2.pp545-574

Abstract

The COVID-19 pandemic has catalyzed the widespread adoption of distance learning, necessitating a comprehensive understanding of how teacher knowledge evolves within the context of Teacher Professional Education (TPE) programs. Some research endeavors may employ evaluation methodologies that inadequately capture the nuanced dimensions of knowledge, highlighting the necessity for greater incorporation of evidence-based approaches in the formulation and assessment of teacher development initiatives. This study employs a qualitative methodology to explore the evolution of Mathematics Teachers' Specialized Knowledge (MTSK) within the framework of a TPE program. Data were gathered through the engagement of three educators in the preparation and execution of lessons on permutation and combination via a Learning Management System (LMS), coupled with in-depth interviews. The findings underscore the TPE program's role in fostering collaborative learning environments through participation in online educational communities. Teachers are shown to be increasingly integrating technology into their pedagogical practices, albeit with varying degrees of proficiency. The presence of Professional Learning Communities (PLCs) is identified as instrumental in supporting educators in refining instructional strategies to enhance teaching effectiveness. Nevertheless, there remains a subset of teachers necessitating more profound and more comprehensive content knowledge about their subject matter. These insights emphasize the importance of designing TPE programs that offer sustained and adaptable professional development opportunities to facilitate continuous growth among educators. Consequently, it is recommended that online learning communities geared toward addressing the diverse learning requirements of students be established, thereby aiding in the identification and resolution of pedagogical challenges.
Co-Authors 'Azizah, Dewi Nur Abdur Rahman As’ari Afin Nur Latifa Agus Alamsyah Agus Yulianto Agus Yulianto Agustin, Nana Maulidah Aldino, Fals Ana Cholila Anggraini Eka Pramestasari Annesa Eka Norman Anton Budi Jatmiko Arini, Kartika Ayu Dwi Ariza Husniyatul Ummah Arwan Mhd. Said Assegaff, Muhamad Farid Asyika, Samsul Irpan Aynin Mashfufah Aziz Rizky Muhdiyanto Budiarto, Darum Cholis Sa’dijah Christi Matitaputty Darum Budiarto Dian Ratna Sari Dwi Aldi Hidayatulloh Dwi Cahyowati, Ety Tedjo Dwi Listyorini Dwi Susanti Dwiyana Dwiyana Edy Bambang Irawan Eko Prasetyo Elis Dwi Wulandari Ety Tedjo Dwi Cahyowati Ewan Gunawan Fadhil Zil Ikram Faiqatul ‘Athiyah Fals Aldino Faradina, Erta Fatmianeri, Yulia Fauzan, Hakmi Rais Gestiani, Anggun Handayaningsih, Rohyatun Henny Rismawatie Yusmarina Heri Prianto Hery Susanto Hery Susanto Hidayanto, Sisworo I Ketut Suada I Made Sulandra I Nengah Parta Ikhtiar, Muhammad Awwalul Indayani, Nunik Intan Mahyastuti Khoerul Umam Khomsatun Ni'mah Laili Nurul Azizah Laily Wijayanti Utami Lalu Indar Anggara Putra Lely Purnawati Lisrahmat, Mimin Nazura Makbul Muksar Mariana, Erna Maskanur Rezky Mirza Amelia Oktaviani Mohammad Archi Maulyda Mohammad Dadan Sundawan Muhammad Noor Kholid Muhammad Rizaldi Munika, Risa Dewi Nana Maulidah Agustin Nunik Indayani Nur Indah Permata Sari Nuratiqoh, Nuratiqoh Permadi, Hendro Puguh Darmawan Puji Astuti Punaji Setyosari Purwanto Purwanto Purwanto Purwanto Purwanto Purwanto Purwanto Purwanto Purwanto Purwosetiyono, Fransiskus Xaverius Didik Putri Raznia Safira Putri, Intan Faraminda Qohar, Abd. Rachmalia Vinda Kusuma Refni Adesia Pradiarti Risna Zulfa Musriroh Rohmah, Riska Nur Rosimanidar Rosimanidar Rosimanidar Rosyidah, Ana Siti Rustanto Rahardi Saleh, Sitti Fithriani Sandie Sari, Nur Indha Permata SATRIYAS ILYAS Sisworo Siti Nurjanah Sitti Fithriani Saleh Subanji Subanji Subanji, S Sudirman Sudirman Sudirman Sudirman Sukoriyanto Susiswo Swasono Rahardjo Tasni, Nurfaida Taufiq Hidayanto Tjang Daniel Chandra Toto Nusantara Umi Fitria Ayu Ummah, Ariza Husniyatul Utami, Laily Wijayanti Uun Hariyanti Vita Kusumasari Wildan Hakim Wulandari, Monika Retno Yayon Adi Galung Sastria Yulianto, Sisworo Yundari, Yundari