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The Importance of Understanding Exponent Number Concept in Science Scope: Students' Abstraction Thinking Level in Problem Solving Siti Faizah; Slamet Arifin; Intan Sari Rufiana; Sri Rahayuningsih; Mohammad Yusuf Randy; Nurzatulshima Kamaruddin; Imam Rofiki; Ali Shodikin
Jurnal Penelitian Pendidikan IPA Vol 10 No 12 (2024): December
Publisher : Postgraduate, University of Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/jppipa.v10i12.9328

Abstract

Mathematics is closely related to science because both require the ability to analyze, think logically, and systematically to understand. This study explores students' level of abstraction thinking in understanding the concept of exponent numbers and its implementation in science. This research uses a qualitative approach. The subjects in this study were students of the master's program in basic education. The data collection techniques used were tests and interviews. The results showed differences in identifying exponent numbers in low and high abstraction level students. Low abstraction level students perform problem-solving stages, such as identifying and writing down every information listed in the problem, using mathematical symbolization, performing number operations according to problem understanding, and checking again. Meanwhile, high abstraction level students performed problem-solving stages, such as identifying every piece of information in the problem without writing it on the worksheet, not writing the results of their understanding explicitly on the worksheet, not writing explicitly the model to be used, performing number operations without paying attention to the type of number because they already understood and they made a conclusion. Both level students applied the concept of exponent numbers in science for writing units and density.
An Analysis of Students' Understanding of Multiplication and Division Concepts Using HOTS Questions in Terms of APOS Theory Siti Faizah; Wan Marzuki Wan Jaafar; Sri Rahayuningsih; Slamet Arifin; Siti Mas’ula; Kaisra Alfikri Islami; Sijah Mariani; Sudirman Sudirman
Jurnal Iqra' : Kajian Ilmu Pendidikan Vol. 10 No. 2 (2025): Jurnal Iqra' : Kajian Ilmu Pendidikan
Publisher : Institut Agama Islam Ma'arif NU (IAIMNU) Metro Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25217/ji.v10i2.6397

Abstract

Understanding concepts in mathematics is a very important ability. Because almost all activities in everyday life are related to mathematics. This study aims to explore fourth grade elementary students' understanding of the concepts of multiplication and division using HOTS questions in terms of APOS theory. This type of research is qualitative using an explorative descriptive approach. The research subjects were 6 students who had been selected based on the criteria of high, medium and low scores. Data collection techniques in the study used interviews, tests and documentation. From the results of the study it was found that students' understanding of concepts related to multiplication and division using HOTS questions in terms of APOS theory experienced significant differences. Students with high concept understanding criteria are able to reach the schema stage. Students with moderate concept understanding, still find it difficult at the process stage to the scheme. This is because these students have not been able to identify the type of problem included in the multiplication or division problem. Meanwhile, students in the low category have not been able to reach the action stage. Students who fall into this low category find it difficult when distinguishing which ones include multiplication problems and which ones include division problems, so that at the action stage they are unable to write what is known, asked until the answer. This is a serious concern for all of us to continue to pay attention to the continuity of learning, especially mathematics on multiplication and division material. For educators, this study highlights the importance of explicitly teaching problem structures, operation identification, and meaning-making in context. For curriculum developers, integrating APOS-informed tasks into learning materials and assessments could enhance conceptual understanding from early grade.