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All Journal Koordinat : Jurnal Pembelajaran Matematika dan Sains Kreano, Jurnal Matematika Kreatif Inovatif
Suwanda, Cecep
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Education Mathematics Physics

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Geogebra-Assisted Teaching Experiment On Students’ Conceptual Change In Multivariable Calculus Andiani, Dini; Dwi Rahayu, Siti; Suwanda, Cecep
Koordinat Jurnal MIPA Vol. 6 No. 2 (2025)
Publisher : Program Studi Tadris Matematika dan Tadris Ilmu Pengetahuan Alam, Fakultas Tarbiyah dan Ilmu Keguruan (FTIK), Universitas Islam Negeri (UIN) Datokarama Palu

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24239/koordinat.v6i2.181

Abstract

This study explores students’ conceptual change in understanding gradients and tangent planes through a GeoGebra-assisted teaching experiment in a multivariable calculus course. The study involved eight second year undergraduate mathematics students enrolled at the Mathematics Department of a university in West Java, Indonesia. Data were collected through diagnostic tests, classroom observations, students’ written work, and reflective notes, and semi sructured interviews, then analyzed qualitatively using coding, triangulation, and retrospective analysis.The findings revealed that, at the outset, students were able to perform symbolic differentiation of partial derivatives but struggled to interpret the gradient vector conceptually or relate it to the tangent plane. Through guided use of GeoGebra, students gradually reconceptualized the gradient as representing both the direction and rate of steepest ascent, demonstrating a shift from procedural to structural understanding. This study contributes to the theory of conceptual change by illustrating how dynamic visualization and guided reinvention can facilitate the transformation of students’ procedural knowledge into coherent conceptual models. Practically, the findings provide insights for designing technology-assisted instruction to address persistent misconceptions in multivariable calculus learning
Visualization of Multivariable Calculus: Learning Needs Analysis for GeoGebra-Assisted Teaching Material Development Andiani, Dini; Septiani, Siti Dwi Rahayu; Suwanda, Cecep
Kreano, Jurnal Matematika Kreatif-Inovatif Vol. 16 No. 2 (2025): Kreano, Jurnal Matematika Kreatif-Inovatif
Publisher : UNNES JOURNAL

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15294/kreano.v16i2.33904

Abstract

Students often struggle to visualize multivariable functions, interpret partial derivatives, and apply extrema, yet systematic needs analyses for designing meaningful Multivariable Calculus learning environments remain limited. This study aims to identify students’ learning needs as a foundation for developing GeoGebra-assisted materials. Using a qualitative descriptive approach within the Gravemeijer and Cobb design research framework, data were collected through a needs-analysis questionnaire administered to eight purposively selected university students who had completed the course. Results show that six of the eight students experienced moderate to high levels of difficulty, especially in visualizing multivariable functions and understanding partial derivatives. Students also reported that videos and lecturer explanations were helpful, and all expressed readiness to use GeoGebra-based materials. The findings indicate the importance of designing structured learning environments that integrate dynamic visualizations. This study provides the groundwork for subsequent teaching experiment and retrospective analysis cycles in developing valid and generalizable instructional designs. Abstrak Mahasiswa sering mengalami kesulitan dalam memvisualisasikan fungsi multivariabel, menafsirkan turunan parsial, dan menerapkan konsep nilai ekstrem, namun analisis kebutuhan yang sistematis untuk merancang lingkungan belajar Kalkulus Peubah Banyak masih terbatas. Penelitian ini bertujuan mengidentifikasi kebutuhan belajar mahasiswa sebagai dasar pengembangan bahan ajar berbantuan GeoGebra. Dengan pendekatan deskriptif kualitatif dalam kerangka penelitian desain Gravemeijer dan Cobb, data dikumpulkan melalui angket analisis kebutuhan yang diberikan kepada delapan mahasiswa terpilih yang telah menyelesaikan mata kuliah tersebut. Hasil menunjukkan bahwa enam dari delapan mahasiswa mengalami tingkat kesulitan sedang hingga tinggi, terutama dalam visualisasi fungsi multivariabel dan pemahaman turunan parsial. Mahasiswa juga menyatakan bahwa video dan penjelasan dosen membantu pemahaman, dan seluruhnya siap menggunakan bahan ajar berbasis GeoGebra. Temuan ini menjadi dasar bagi pelaksanaan teaching experiment dan analisis retrospektif untuk menghasilkan desain pembelajaran yang valid dan tergeneralisasi.
Co-Authors Dini Andiani, Dini Dwi Rahayu, Siti Septiani, Siti Dwi Rahayu