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Students' mathematical critical thinking through the conceptual change approach Maghfiroh, Fitria; Dasari, Dadan
Jurnal Riset Pendidikan Matematika Vol. 10 No. 2: November 2023
Publisher : Fakultas Matematika dan Ilmu Pengetahuan Alam Universitas Negeri Yogyakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21831/jrpm.v10i2.62812

Abstract

Critical thinking ability is one of the higher order thinking skills. Students who have high critical thinking skills are expected to have the ability to analyze problems properly and precisely. The purpose of the present study was to find out the differences in students' mathematical critical thinking skills who received learning using the conceptual change approach and those who received conventional learning, namely the scientific approach. This study was conducted at a junior high school in South Tangerang City, Banten Province. The research method used was a quasi-experimental research design with a post test only control design. The research sample consisted of 70 students consisting of 37 students in the experiment group and 33 students in the control group selected by a cluster random sampling technique. Results indicate that students' mathematical critical thinking skills who learned with the conceptual change approach are higher than those of students who learned by the scientific approach. The critical thinking skills of students who received learning by the conceptual change approach were 72.64%, on the indicator of analyzing arguments, 67.23%, on the indicator of  making conclusions,  84.46%, on evaluating, and 61.85%  on solving problems
Students’ Ways of Understanding and Ways of Thinking in Solving Trigonometric Problems Maghfiroh, Fitria; Dasari, Dadan; Dahlan, Jarnawi Afgani; Inayah, Clara Fadhilah; Fitriyah, Yuni
JIPM (Jurnal Ilmiah Pendidikan Matematika) Vol 12, No 2 (2024)
Publisher : Universitas PGRI Madiun

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25273/jipm.v12i2.18833

Abstract

Berpikir matematis sangat penting sebagai cara untuk mempelajari matematika. Menurut teori Harel istilah berpikir matematis tingkat lanjut berakar pada dua elemen pengetahuan: cara memahami (WoU) dan cara berpikir (WoT). Cara memahami mengacu pada bagaimana siswa menginterpretasikan suatu konsep tertentu dan hubungan antar konsep, memberikan solusi terhadap masalah, dan membenarkan apakah suatu keyakinan benar atau tidak, sedangkan cara berpikir adalah proses mental yang menghasilkan pemahaman siswa terhadap suatu hal. Tujuan dari penelitian ini adalah untuk menggambarkan cara siswa memahami dan berpikir dalam menyelesaikan masalah matematika yang terkait dengan trigonometri. Penelitian ini dilakukan di sebuah sekolah menengah atas di Jakarta Selatan, Indonesia. Subjek penelitian adalah siswa kelas 11 yang telah mempelajari tentang trigonometri. Data dikumpulkan dari instrumen tes yang terdiri dari tiga masalah matematika terkait trigonometri dan hasil wawancara. Analisis data dilakukan dengan tiga tahap, yaitu teknik reduksi, penyajian, dan penarikan simpulan. Hasil penelitian ini menunjukkan bahwa cara memahami dan cara berpikir siswa saling memengaruhi. Jadi, dalam masalah trigonometri ini, cara berpikir siswa memengaruhi pemahaman siswa terhadap konsep, dan sebaliknya pemahaman siswa terhadap konsep memengaruhi cara berpikir mereka. Mathematical thinking is essential as a way of learning mathematics. According to Harel’s theory in defining the term advanced mathematical thinking, it is rooted in two pieces of knowledge: ways of understanding (WoU) and ways of thinking (WoT). Ways of understanding refer to how students interpret a particular concept and the relationship between concepts, give solutions to a problem, and justify whether a belief is true or not, while ways of thinking are a mental process that results in students’ understanding of a particular thing. The purpose of this research is to describe students’ ways of understanding and ways of thinking in solving mathematical problems related to trigonometry. The research was conducted at a senior high school in Jakarta Selatan, Indonesia. The subjects of the research were the students grade 11 who has learned trigonometry. The data were collected from the test instruments consisting of three mathematical problems related to trigonometry and interview transcript. The data analysis used in this research are reduction techniques, presentation, and drawing conclusions. The result of this research showed that students’ ways of understanding and ways of thinking influenced each other. So, in this trigonometry problem, students’ ways of thinking influence the students’ understanding of the concepts, and likewise students’ understanding of the concepts affects their ways of thinking.
Indonesian Students’ Mathematical Representation Ability According To Learning Styles: Systematic Literature Review Inayah, Clara Fadhilah; Dahlan, Jarnawi A.; Darhim, Darhim; Maghfiroh, Fitria
Mathline : Jurnal Matematika dan Pendidikan Matematika Vol. 9 No. 3 (2024): Mathline: Jurnal Matematika dan Pendidikan Matematika
Publisher : Universitas Wiralodra

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31943/mathline.v9i3.583

Abstract

The purpose of this research is to explain the outcomes of Indonesian students' mathematical representation ability according to learning styles. The learning styles are visual, auditory, and kinesthetic. A systematic literature review (SLR) is the research methodology employed in this study. This study used data from 18 papers about mathematical representation ability according to learning styles. Publications published in Indonesia between 2015 and 2023 that are indexed by Google Scholar, SINTA, or Scopus form the publishing data. According to the publication year, the media in which it was published, the research methods employed, the subject's educational background, the research location, and the research findings, the description of this study was reviewed. The most research on mathematical representation ability according to learning styles was found to have been published in 2023, according to SLR. The most prominent research media that published the most research were SINTA and Google Scholar. Qualitative methods dominated this study, with junior high school students serving as the majority of research subjects and the island of Java serving as the most prominent research location in Indonesia. Furthermore, it could be stated that one of the elements influencing mathematical representation ability is learning styles.