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Journal : edumatika

The Weaknesses of Euclidean Geometry: A Step of Needs Analysis of Non-Euclidean Geometry Learning through an Ethnomathematics Approach Khathibul Umam Zaid Nugroho; Y. L. Sukestiyarno; Adi Nurcahyo
Edumatika : Jurnal Riset Pendidikan Matematika Vol. 4 No. 2 (2021): November 2021, Edumatika : Jurnal Riset Pendidikan Matematika
Publisher : Fakultas Tarbiyah dan Ilmu Keguruan IAIN Kerinci

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (983.923 KB) | DOI: 10.32939/ejrpm.v4i2.1015

Abstract

Non-Euclidean Geometry is a complex subject for students. It is necessary to analyze the weaknesses of Euclidean geometry to provide a basis for thinking about the need for learning non-Euclidean geometry. The starting point of learning must be close to students' local minds and culture. The purpose of this study is to describe the weaknesses of Euclidean geometry as a step in analyzing the needs of non-Euclidean geometry learning through an ethnomathematics approach. This research uses qualitative descriptive methods. The subjects of this study were students of Mathematics Education at State Islamic University (UIN) Fatmawati Soekarno Bengkulu, Indonesia. The researcher acts as a lecturer and the main instrument in this research. Researchers used a spatial ability test instrument to explore qualitative data. The data were analyzed qualitatively descriptively. The result of this research is that there are two weaknesses of Euclidean geometry, namely Euclid’s attempt to define all elements in geometry, including points, lines, and planes. Euclid defined a point as one that has no part. He defined a line as length without width. The words "section", "length", and "width" are not found in Euclidean Geometry. In addition, almost every part of Euclid’s proof of the theorem uses geometric drawings, but in practice, these drawings are misleading. Local culture and ethnomathematics approach design teaching materials and student learning trajectories in studying Non-Euclid Geometry.
The Relationship among Self-Efficacy, Mathematical Concepts Understanding, Creative Thinking Skills, Mathematical Problem-Solving Skills, and Mathematics Learning Outcomes Nugroho, Khathibul Umam Zaid; Izwanto, Eddy; Widada, Wahyu; Alias, Norma; Anggoro, Abdurrobbil Falaq Dwi; Herawaty, Dewi; Jumri, Rahmat; Anggoro, Shadaqnas Dewarif Tri
Edumatika Vol 6 No 2 (2023): November 2023, Edumatika : Jurnal Riset Pendidikan Matematika
Publisher : Fakultas Tarbiyah dan Ilmu Keguruan IAIN Kerinci

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.32939/ejrpm.v6i2.3169

Abstract

The proficiency of students in mathematical problem-solving skills is believed to be shaped by factors such as mathematical concepts understanding, creative thinking skills, and self-efficacy. This research endeavors to investigate the interplay among self-efficacy, mathematical concepts understanding, creative thinking skills, problem-solving skills, and mathematics learning outcomes. Employing a survey approach, the study encompasses all ninth-grade students in Central Bengkulu, Bengkulu, Indonesia, with a sample of 100 students selected through proportional stratified random sampling. Data collection involves Likert scale instruments for self-efficacy, along with tests for mathematical concepts understanding, creative thinking skills, and problem-solving skills. Path analysis techniques are applied for data analysis. The findings of the research indicate that mathematical concepts understanding, creative thinking skills, and problem-solving skills collectively exert a positive influence on mathematics learning outcomes. Additionally, it is demonstrated that self-efficacy, understanding mathematical concepts, and creative thinking skills collectively contribute positively to problem-solving skills. Furthermore, the research reveals a direct positive influence of self-efficacy on both mathematical concepts understanding and creative thinking skills.
The Weaknesses of Euclidean Geometry: A Step of Needs Analysis of Non-Euclidean Geometry Learning through an Ethnomathematics Approach Khathibul Umam Zaid Nugroho; Y. L. Sukestiyarno; Adi Nurcahyo
Edumatika Vol 4 No 2 (2021): November 2021, Edumatika : Jurnal Riset Pendidikan Matematika
Publisher : Fakultas Tarbiyah dan Ilmu Keguruan IAIN Kerinci

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.32939/ejrpm.v4i2.1015

Abstract

Non-Euclidean Geometry is a complex subject for students. It is necessary to analyze the weaknesses of Euclidean geometry to provide a basis for thinking about the need for learning non-Euclidean geometry. The starting point of learning must be close to students' local minds and culture. The purpose of this study is to describe the weaknesses of Euclidean geometry as a step in analyzing the needs of non-Euclidean geometry learning through an ethnomathematics approach. This research uses qualitative descriptive methods. The subjects of this study were students of Mathematics Education at State Islamic University (UIN) Fatmawati Soekarno Bengkulu, Indonesia. The researcher acts as a lecturer and the main instrument in this research. Researchers used a spatial ability test instrument to explore qualitative data. The data were analyzed qualitatively descriptively. The result of this research is that there are two weaknesses of Euclidean geometry, namely Euclid’s attempt to define all elements in geometry, including points, lines, and planes. Euclid defined a point as one that has no part. He defined a line as length without width. The words "section", "length", and "width" are not found in Euclidean Geometry. In addition, almost every part of Euclid’s proof of the theorem uses geometric drawings, but in practice, these drawings are misleading. Local culture and ethnomathematics approach design teaching materials and student learning trajectories in studying Non-Euclid Geometry.
The Relationship among Self-Efficacy, Mathematical Concepts Understanding, Creative Thinking Skills, Mathematical Problem-Solving Skills, and Mathematics Learning Outcomes Khathibul Umam Zaid Nugroho; Eddy Izwanto; Wahyu Widada; Norma Alias; Abdurrobbil Falaq Dwi Anggoro; Dewi Herawaty; Rahmat Jumri; Shadaqnas Dewarif Tri Anggoro
Edumatika Vol 6 No 2 (2023): November 2023, Edumatika : Jurnal Riset Pendidikan Matematika
Publisher : Fakultas Tarbiyah dan Ilmu Keguruan IAIN Kerinci

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.32939/ejrpm.v6i2.3169

Abstract

The proficiency of students in mathematical problem-solving skills is believed to be shaped by factors such as mathematical concepts understanding, creative thinking skills, and self-efficacy. This research endeavors to investigate the interplay among self-efficacy, mathematical concepts understanding, creative thinking skills, problem-solving skills, and mathematics learning outcomes. Employing a survey approach, the study encompasses all ninth-grade students in Central Bengkulu, Bengkulu, Indonesia, with a sample of 100 students selected through proportional stratified random sampling. Data collection involves Likert scale instruments for self-efficacy, along with tests for mathematical concepts understanding, creative thinking skills, and problem-solving skills. Path analysis techniques are applied for data analysis. The findings of the research indicate that mathematical concepts understanding, creative thinking skills, and problem-solving skills collectively exert a positive influence on mathematics learning outcomes. Additionally, it is demonstrated that self-efficacy, understanding mathematical concepts, and creative thinking skills collectively contribute positively to problem-solving skills. Furthermore, the research reveals a direct positive influence of self-efficacy on both mathematical concepts understanding and creative thinking skills.
Co-Authors Ababil, Dini Abdurrobbil Falaq Dwi Anggoro Abdurrobbil Falaq Dwi Anggoro Abdurrobbil Falaq Dwi Anggoro Abu Bakar, Suriani Ade Krisma Oktavia Adi Nurcahyo Ahmad Marsehan Aisyah Rahmawaty Akmal Rijal Aldi Saputra Aldi Saputra Alias, Norma Anggoro, Abdurrobbil Falaq Anggoro, Abdurrobbil Falaq Dwi Anggoro, Shadaqnas Dewarif Tri Anisya Soneta As Elly As Elly Aswarliansyah Badeni Balqis, Reka Destha Ulandari DEWI HERAWATY Dewi Herawaty Dewi Herawaty Dewi Herawaty Dina Salsabila Dona Ningrum Mawardi Drajat Friansah Eddy Izwanto ELLY, AS Eva Aprilia Gufiran, Hermu Haji, H Saleh Heti Sanjaya Idul Adha Irpan Pranata Isebria Ismoen, Muhaimin Isti Hidayah Izwanto, Eddy Jannah, Miftahul Jannah Lili Tri Yulianti Luthfiana, Maria M Rusni Eka Putra M. Asikin Maria Luthfiana Masri Masri Mellisa Agustriana Mey Line Saputri Mohammad Asikin Muqoyyanah, Muqoyyanah Nihad Khalilullah Noprianto Wahyudi Norma Alias Nugroho Ponco Riyanto Nur Fitriyana Nur, Nur Fitriyana Nurtiara Nurtiara Okta Selvia Olivia Pandra, Viktor Purwasi, Lucy Asri Rahmat Jumri Ranita, Ranita Ranti Rasna Puspita Sari Ratna Anjani Refianti, Rani Revita, Ade Nindya Salsabila, Dina Shadaqnas Dewarif Tri Anggoro Shadaqnas Dewarif Tri Anggoro Shadaqnas Dewarif Tri Anggoro Suci Artila Sugiarto, Anjar Sugiman Sugiman Sukasno Sukestiyarno Sukestiyarno Sukestiyarno, Y. L. Sulaiman Vivi Sakta Tri Rahmadona Wahyu Widada Wahyu Widada Wayan Gede Wayan Gede Y. L. Sukestiyarno YL Sukestiyarno Yoga Lorenza Yufitri Yanto Yulia Darmi Zamzaili Zamzaili