Dita Oktavihari
Universitas Mataram

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Concept Image Siswa dalam Materi Barisan dan Deret pada Pembelajaran Berdiferensiasi Dita Oktavihari; Junaidi Junaidi; Gilang Primajati; M. Gunawan Supiarmo; Eka Kurniawan; Alvano Tugas Hendrawan
Mandalika Mathematics and Educations Journal Vol 7 No 4 (2025): Desember
Publisher : FKIP Universitas Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/jm.v7i4.11044

Abstract

This study aims to describe students' concept images on sequences and series in differentiated learning and to examine the concept image gap between students, teachers, and mathematicians. This study used a qualitative approach with a didactic design and a hermeneutic phenomenology method. The research subjects included students, teachers, and mathematicians, who were selected purposively. Data were collected through learning observations, questionnaires, and in-depth interviews, and then analyzed using data reduction, data presentation, and conclusion-drawing techniques. The results showed that students' conceptual images of sequences and series were dominated by intuitive, visual, and procedural understandings. Students were able to recognize real-world patterns and contexts, but tended to rely on repeated addition or multiplication rather than using formal definitions and symbolic formulas. In geometric sequences and series, a concept image conflict was found due to students' difficulty in understanding exponential growth patterns. Although differentiated learning provides space for diverse student learning styles, the results show that this approach does not fully guarantee the formation of a complete formal conceptual understanding. Therefore, strengthening conceptual scaffolding is needed so that students' concept images are more aligned with the correct concept definition. Penelitian ini bertujuan untuk mendeskripsikan concept image siswa pada materi barisan dan deret dalam pembelajaran berdiferensiasi serta mengkaji kesenjangan concept image antara siswa, guru, dan matematikawan. Penelitian ini menggunakan pendekatan kualitatif dengan desain didaktis dan metode fenomenologi hermeneutik. Subjek penelitian meliputi siswa, guru, dan matematikawan, yang dipilih secara purposif. Pengumpulan data dilakukan melalui observasi pembelajaran, kuesioner, serta wawancara mendalam, kemudian dianalisis menggunakan teknik reduksi data, penyajian data, dan penarikan kesimpulan. Hasil penelitian menunjukkan bahwa concept image siswa pada materi barisan dan deret didominasi oleh pemahaman intuitif, visual, dan prosedural. Siswa mampu mengenali pola dan konteks nyata, namun cenderung mengandalkan penjumlahan atau perkalian berulang dibandingkan penggunaan definisi formal dan rumus simbolik. Pada barisan dan deret geometri, ditemukan conflict concept image akibat kesulitan siswa dalam memahami pola pertumbuhan eksponensial. Meskipun pembelajaran berdiferensiasi memberikan ruang bagi keberagaman cara belajar siswa, hasil penelitian menunjukkan bahwa pendekatan ini belum sepenuhnya menjamin terbentuknya pemahaman konseptual formal yang utuh. Oleh karena itu, diperlukan penguatan scaffolding konseptual agar concept image siswa lebih selaras dengan concept definition yang benar.
Pengembangan Media Pembelajaran Terintegrasi Teknologi dan Budaya Berorientasi Pemahaman Konsep Gabungan dan Irisan Himpunan Ulfa Lu'luilmaknun; Junaidi Junaidi; Gilang Primajati; Eka Kurniawan; Dita Oktavihari; Putri Surya
Mandalika Mathematics and Educations Journal Vol 8 No 2 (2026): Edisi Juni
Publisher : FKIP Universitas Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/jm.v8i2.12572

Abstract

Students' low level of mathematical conceptual understanding remains one of the major challenges in mathematics education, leading to difficulties in solving mathematical problems accurately. One effort to address this issue is to develop learning media that integrate digital technology with local cultural contexts, thereby creating more meaningful learning experiences. This study aimed to develop an ethnomathematics-based interactive learning media that meets the criteria of validity and practicality. The study employed a Research and Development (R&D) approach using the Four-D (4D) development model, consisting of the define, design, develop, and disseminate stages. However, the research was limited to the develop stage, which involved validation by media experts and subject matter experts, as well as practicality assessment by practitioners. The research instruments included media expert validation sheets, material expert validation sheets, and practitioner response questionnaires. The data were analyzed quantitatively using descriptive statistics in the form of mean scores and feasibility percentages. The findings indicate that the developed ethnomathematics-based interactive learning media achieved valid criteria based on expert evaluations and practical criteria based on practitioners' assessments. Therefore, the developed media can serve as an alternative mathematics learning resource to support students' conceptual understanding.
Concept Image Siswa dalam Pembelajaran Matematika Dita Oktavihari; M. Gunawan Supiarmo
Mandalika Mathematics and Educations Journal Vol 8 No 2 (2026): Edisi Juni
Publisher : FKIP Universitas Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/jm.v8i2.12630

Abstract

Concept image is a mental representation that plays an important role in shaping students'conceptual understanding of mathematical concepts. The difference between concept image andconcept definition often causes misconceptions and students' difficulties in understanding andapplying mathematical concepts. This study aims to examine and synthesize research resultsregarding students' concept image in mathematics learning. The study used the SystematicLiterature Review (SLR) method by analyzing ten scientific articles published in national andinternational journals. The review process was carried out through the stages of identification,selection, evaluation, and synthesis of articles based on their suitability to the research focus. Theresults of the study indicate that students' concept images in various mathematical materials, suchas algebra, systems of linear equations in two variables, matrices, exponents, exponentialfunctions, sequences and series, quadrilaterals, and the Pythagorean Theorem, are still not fullyin line with the concept definition. This discrepancy is influenced by learning experiences, learningstrategies, mastery of prerequisite concepts, as well as didactic, epistemological, and ontogenicobstacles. In addition, procedure-oriented learning tends to produce less in-depth conceptualunderstanding than learning that emphasizes concept exploration and the use of variousmathematical representations. Therefore, mathematics learning needs to be designed to facilitatethe formation of concept images aligned with concept definitions through meaningful learningexperiences. This study is expected to serve as a reference for researchers and educators indeveloping learning strategies that support improved student conceptual understanding.
Desain E-LKPD Berbasis Concept Image Siswa pada Materi Barisan dan Deret Dita Oktavihari; Junaidi Junaidi; Gilang Primajati; M. Gunawan Supiarmo; Eka Kurniawan
Griya Journal of Mathematics Education and Application Vol. 6 No. 2 (2026): Juni 2026
Publisher : Pendidikan Matematika FKIP Universitas Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/griya.v6i2.1329

Abstract

This study aims to develop a concept image-based E-LKPD on sequences and series using the ADDIE model.This development research was carried out up to the Development stage, which includes Analysis, Design,and Development. In the analysis stage, learning needs were identified through concept image tests,interviews, and documentation studies. The results of the analysis showed that students still had difficultyin understanding the concepts of sequences and series in depth, differentiating the concepts of sequences andseries, and connecting various mathematical representations. Based on these needs, an E-LKPD was designedthat included problem-oriented activities, pattern exploration, concept construction, concept reflection, andcontextual application. In the development stage, the E-LKPD prototype was compiled and validated bymaterial experts and media experts to assess the feasibility of content, presentation, language, andappearance. The validation results showed that the developed E-LKPD met the valid criteria and was suitablefor use as a supporting teaching material for mathematics learning. The concept image-based E-LKPD isexpected to help students build a better conceptual understanding of sequences and series through theintegration of visual, verbal, numeric, and symbolic representations.