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Journal : JME (Journal of Mathematics Education)

UNVEILING HIDDEN MISCONCEPTIONS: A NEW PERSPECTIVE ON FIRST-YEAR STUDENTS' ALGEBRAIC UNDERSTANDING Sari, Fadhila Kartika; Alifiani, Alifiani; Nursit, Isbadar; Jannah, Ukhti Raudhatul; Rahaju, Rahaju
JME (Journal of Mathematics Education) Vol 9, No 2 (2024): JME
Publisher : Universitas Sembilanbelas November Kolaka

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31327/jme.v9i2.2231

Abstract

This study aims to uncover and analyze hidden misconceptions in algebraic understanding among first-year students in the Mathematics Education Department at a private university in Malang. Conducted from January to March 2024, the research involves two first-year students as subjects. The first subject exhibits the misconception known as "illegal canceling," while the second subject demonstrates the "assumption of distributivity of exponents." Utilizing a qualitative research methodology, diagnostic interviews and problem-solving tasks were employed to identify and understand these misconceptions. Our findings indicate that these hidden misconceptions significantly hinder the students' ability to correctly solve algebraic problems and understand underlying concepts. For the first subject, the error in illegal canceling often led to incorrect simplifications, while the second subject's erroneous application of exponent rules resulted in fundamentally flawed solutions. By systematically categorizing these misconceptions, the study offers tailored instructional strategies to effectively address and correct them.This research highlights the critical need for early detection and targeted intervention in mathematical education. By providing a deeper insight into specific algebraic misunderstandings, the study suggests practical approaches for educators to enhance their teaching methodologies, ultimately improving students' overall algebra comprehension. The novelty of this research lies in its detailed focus on hidden misconceptions and the provision of actionable solutions, offering a fresh perspective on improving algebra education for first-year university students.
Co-Authors Aa Yuni Abdul Halim Fathani Agus Murniati Ahmad Faiz Praj Nanda Ahmad Fathonin Surya Ahmad Sufyan Zauri Ajar Nur Hidayatullah Alfiani Alfiani Alifiani, Alifiani Alifiani, Alifiani Amiliya Nisaul Khusna Aminnudin, Muhammad Azis Nur Anies Fuady Asih Rosanti Deviana Novita Sari Diana Lestari Didik Prastiyo Dimitri Auiya Urrahman Dita Hasanah Doluubeng, Muhamad Yusri Dwi Ratna Sari, Dwi Ratna Fadhila Kartika Sari Fedrik Andhika Firmansyah Fenny Putri Arfany Fifi Maulidatil Wahidah Fina Putri Damayanti Firdaus, Izzul Haq Candra Fitri Wahyuni Ganjar Setyo Widodo Gilang Herlambang Gusti Firda Khairunnisa Habibah, Siti Ummu Hamzah, Nadiyah Maharani Amir Intan Wulandari Wulandari Ivan Hartaji Ivan Hartaji Ivan Ivan Hartaji Jannah, Ukhti Raudhatul Jiwandono, Nahnu Robid Kamil, Syaifuddin Koviva Wijayanti Kuny Zakiyyatur Rosyidah Lailatul Fitria Linda Tri Lestari Lulut Ernin Maharani M. Faishol Arief Maulana, Faiz Miladiyah Miladiyah Moh Arisyur Rahman Moh Ridho Al Jauhariy Muhammad Ridho Hisbullah Muhammad Rifky Maulana Muna, Nailiatul Mustangin Mustangin Muzaqqi, Muhammah Ilham N, Moh Khoirul Mustagfirin Nabila Safirotuz Zahiroh Novelia Fransiska Nurul Azmi Nuse Aliyah Rahmati Pratama, Moch. Septian Yoga Rahaju, Rahaju Rahayu, Amelia Puji Raju Raju Regita Laely Nur Fitria Ria Rizka Rahmania Rizka Wahyu Alvina Rizqin Niyah RR. Ettie Rukmigarsari Ruf'aniyah, Ruf'aniyah Salsabilla Ryzka Amalia Siti Nurul Hasana Siti Ummu Habibah Siti Ummu Habibah Sunismi . Surahmat Surahmat Surya Sari Faradiba Syauqiy Syifa Titik Rahayu Widyawati Ukhti Raudhatul Jannah Ulul Albab Umaimah Ummi Maghfirah Verdy, Andika Walida, Sikky El Widiyanti, Ria Yayan Eryk Setiawan Yula Milshteyn Zainal Abidin Zainal Abidin Zainal Abidin Zakiyatul Ilmiyah Zakiyatul Ilmiyah