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All Journal Kreano, Jurnal Matematika Kreatif-Inovatif Kreano, Jurnal Matematika Kreatif Inovatif
Entit Puspita
[Scopus ID: 57190933339] Universitas Pendidikan Indonesia
Education Mathematics

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Learning Obstacles of Prospective Mathematics Teachers: a Case Study on the Topic of Implicit Derivatives Entit Puspita; Didi Suryadi; Rizky Rosjanuardi
Kreano, Jurnal Matematika Kreatif-Inovatif Vol 14, No 1 (2023): Kreano, Jurnal Matematika Kreatif-Inovatif
Publisher : Mathematics Dept, Math. and Science Faculty, Universitas Negeri Semarang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15294/kreano.v14i1.42805

Abstract

This research is a Didactical Design Research (DDR), aiming to identify various learning barriers for prospective mathematics teachers. Some students still experience learning difficulties in derived concepts which are prerequisites for other concepts or other subjects, didactic and pedagogical anticipation can be prepared to overcome them. Based on the learning design, various learning barriers were identified, especially in the implicit derivative concept. The research participants consisted of 3 lecturers and 46 second-semester prospective teacher students at one of the tertiary institutions in Indonesia. The results of interviews and questionnaires were analyzed through identification, clarification, reduction and verification techniques and then presented narratively. The results showed that some prospective teachers experienced learning barriers 1) ontogenic instrumental, conceptual, and psychological types, 2) didactic, students could not identify contextual relationships in the structure of answers, indicating that the material was not by the continuity of students' thinking, and 3) epistemological, the lack of understanding of explicit and implicit similarities shows the limitations of the context that students have. Based on the research findings, a learning design will be developed based on the theory of a didactic situation with the stages of action situations, formulation, validation, and institutionalization, which are thought to be able to overcome the findings of learning obstacles.Penelitian ini merupakan Didactical Design Research (DDR), bertujuan untuk mengidentifikasi berbagai hambatan belajar calon guru matematika. Sebagian mahasiswa masih mengalami hambatan belajar pada konsep turunan yang merupakan prasyarat konsep lain atau matakuliah lain, dapat disiapkan antisipasi didaktis maupun pedagogis untuk mengatasinya. Berdasarkan rancangan pembelajaran, diidentifikasi berbagai hambatan belajar khususnya pada konsep turunan implisit. Partisipan penelitian terdiri dari 3 dosen dan 46 mahasiswa calon guru semester dua di salah satu perguruan tinggi di Indonesia. Hasil wawancara dan angket dianalisis melalui teknik identifikasi, klarifikasi, reduksi, dan verifikasi, selanjutnya disajikan secara naratif. Hasil penelitian menunjukkan bahwa beberapa calon guru mengalami hambatan belajar 1) ontogenik tipe instrumental, konseptual, dan psikologis, 2) didaktis, mahasiswa tidak dapat mengidentifikasi hubungan kontekstual dalam struktur jawaban, menunjukkan bahwa materi tidak sesuai dengan kesinambungan proses berpikir mahasiswa, dan 3) epistemologis, kurangnya pemahaman persamaan eksplisit dan implisit menunjukkan keterbatasan konteks yang dimiliki mahasiswa. Berdasarkan temuan penelitian, akan dikembangkan desain pembelajaran berdasarkan theory of didactical situation dengan tahapan situasi aksi, formulasi, validasi, dan institusionalisasi yang diduga dapat mengatasi temuan hambatan belajar.
A Didactical Design Research: Knowledge Acquisition of Mathematics Teacher Prospective Students on Multiple Integral Concepts Entit Puspita; Cece Kustiawan
Kreano, Jurnal Matematika Kreatif-Inovatif Vol. 15 No. 1 (2024): Kreano, Jurnal Matematika Kreatif-Inovatif
Publisher : UNNES JOURNAL

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15294/h3v97z60

Abstract

This research aims to determine prospective mathematics teacher students' learning obstacles and knowledge acquisition process on the concept of fold integrals and their applications. In the acquisition process, students extract, structure, and organize knowledge both obtained from reading results and information received during the learning process in class; this is studied comprehensively. This research is Didactical Design Research. The research participants were 46 fourth-semester students in a study program producing prospective mathematics teachers. Research data comes from tests, observations, interviews, and documentation. The stages of data analysis are identification, clarification, reduction, and verification, which are then presented in a narrative descriptive manner. This research is essential because apart from identifying learning obstacles, various types of learning obstacles and the process of knowledge acquisition on related concepts and their multiple causes are also analyzed. The results obtained were (1) Students experienced ontogenic learning obstacles of psychological, instrumental, and conceptual types in the fold integral concept; apart from that, epistemological learning obstacles were also identified; (2) the process of acquiring knowledge related to the concept of double and triple integrals and their applications is not yet running perfectly, hampered by prerequisite knowledge, lack of technical ability, weak mastery of concepts, and limited understanding related to student habits. Further studies need to be carried out regarding the diffusion process by lecturers to facilitate the knowledge acquisition process so that students can construct the fold integral concept well. Penelitian ini bertujuan mengetahui hambatan belajar dan proses akuisisi pengetahuan mahasiswa calon guru matematika pada konsep integral lipat beserta aplikasinya. Pada proses akuisisi, mahasiswa melakukan ekstraksi, strukturisasi, dan pengorganisasian pengetahuan baik yang diperoleh dari hasil baca maupun informasi yang diterima selama proses belajar di kelas, hal ini dikaji secara kpmprehensif. Penelitian ini merupakan penelitian Didactical Design Research. Partisipan penelitian sebanyak 46 mahasiswa semester empat pada program studi penghasil calon guru matematika. Data penelitian berasal dari tes, observasi, wawancara, dan dokumentasi. Tahapan analisis data yaitu identifikasi, klarifikasi, reduksi, dan verifikasi, yang kemudian disajikan secara deskriptif naratif. Penelitian ini penting dilakukan, karena selain diidentifikasi hambatan belajar, juga dianalisa berbagai tipe hambatan belajar beserta proses akuisisi pengetahuan pada konsep terkait beserta berbagai penyebanya. Hasil yang diperoleh adalah (1) Mahasiswa mengalami hambatan belajar ontogenik tipe psikologis, instrumental, dan konseptual pada konsep integral lipat, selain itu teridentifikasi juga hambatan belajar epistemologis; (2) proses akuisisi pengetahuan terkait konsep integral lipat dua dan lipat tiga beserta aplikasinya belum berjalan sempurna, terkendala oleh pengetahuan prasyarat, kurangnya kemampuan teknis, lemahnya penguasaan konsep, dan terbatasnya pemahaman terkait dengan kebiasaan mahasiswa. Perlu dilakukan kajian lebih lanjut terkait proses difusi yang dilakukan dosen untuk memfasilitasi proses akuisisi pengetahuan, sehingga mahasiswa dapat mengkonstruksi konsep integral lipat dengan baik.
Co-Authors Cece Kustiawan Didi Suryadi Rizky Rosjanuardi