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All Journal Prosiding Universitas PGRI Palembang Jurnal Terapan Abdimas Al-Jabar : Jurnal Pendidikan Matematika Jurnal DIDIKA: Wahana Ilmiah Pendidikan Dasar JTAM (Jurnal Teori dan Aplikasi Matematika) PROSIDING SEMINAR NASIONAL PROGRAM PASCASARJANA Indiktika : Jurnal Inovasi Pendidikan Matematika SJME (Supremum Journal of Mathematics Education) Transformasi : Jurnal Pendidikan Matematika dan Matematika Jurnal Math-UMB.EDU Indonesian Research Journal on Education Jurnal Pendidik Indonesia Kreano, Jurnal Matematika Kreatif Inovatif Mathematics Education Journal Differential: Journal on Mathematics Education SJME (Supremum Journal of Mathematics Education)
Tika Dwi Nopriyanti, Tika Dwi
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Religion Arts Humanities Chemistry Decision Sciences, Operations Research & Management Education Energy Environmental Science Languange, Linguistic, Communication & Media Law, Crime, Criminology & Criminal Justice Library & Information Science Materials Science & Nanotechnology Mathematics Physics Social Sciences Other

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Designing a STEM-Based Learning Trajectory on Tangent Lines to Parabolas Using a Football Context for Pre-Service Teachers Nopriyanti, Tika Dwi; Zulkardi; Ratu Ilma Indra Putri; Nyimas Aisyah
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.v16i2.33871

Abstract

Understanding the concept of a tangent line to a parabola is an important topic but often a challenge for prospective mathematics teacher students when learning emphasizes procedures over conceptual understanding. This research aims to design a STEM-based learning trajectory (Hypothetical Learning Trajectory) to enhance students' mathematical flexibility skills. The research method uses design research with three stages: initial design, learning experiment (pilot and full implementation), and retrospective analysis. The research subjects consisted of pre service mathematics teacher students from two classes. The learning path includes three STEM activities: exploring the crossbar challenge video in soccer, algebraic analysis and visualization using Desmos, and constructing and verifying tangents analytically and graphically. Data were obtained through classroom observation, interviews, worksheets, and videos, and were analyzed qualitatively using triangulation and the constant comparison method. The results show that students move from intuitive reasoning toward formal understanding thru transitions in contextual, symbolic, and graphical representations. Revising the HLT results in a Local Instructional Theory (LIT) that strengthens students' thinking flexibility and conceptual understanding. The results suggest that subsequent studies could refine and implement this LIT across diverse mathematical topics or STEM-integrated learning environments to examine its broader impact on students’ representational and reasoning flexibility. Abstrak Pemahaman tentang konsep garis singgung pada parabola merupakan topik yang penting namun sering menjadi tantangan bagi mahasiswa calon guru matematika ketika pembelajaran lebih menekankan pada prosedur daripada pemahaman konseptual. Penelitian ini bertujuan untuk merancang lintasan belajar berbasis STEM (Hypothetical Learning Trajectory) guna meningkatkan kemampuan fleksibilitas matematis mahasiswa. Metode penelitian yang digunakan adalah design research yang terdiri atas tiga tahap: desain awal, eksperimen pembelajaran (uji coba awal dan implementasi penuh), serta analisis retrospektif. Subjek penelitian terdiri atas mahasiswa calon guru matematika dari dua kelas. Lintasan belajar yang dikembangkan meliputi tiga aktivitas berbasis STEM, yaitu mengeksplorasi video crossbar challenge dalam sepak bola, melakukan analisis aljabar dan visualisasi menggunakan Desmos, serta membangun dan memverifikasi garis singgung secara analitik dan grafis. Data diperoleh melalui observasi kelas, wawancara, lembar kerja mahasiswa, dan rekaman video, kemudian dianalisis secara kualitatif dengan teknik triangulasi dan metode perbandingan konstan. Hasil penelitian menunjukkan bahwa mahasiswa mengalami pergeseran dari penalaran intuitif menuju pemahaman formal melalui transisi representasi kontekstual, simbolik, dan grafis. Revisi terhadap HLT menghasilkan Local Instructional Theory (LIT) yang memperkuat keluwesan berpikir dan pemahaman konseptual mahasiswa. Hasil ini juga menunjukkan bahwa penelitian lanjutan dapat menyempurnakan dan mengimplementasikan LIT tersebut pada berbagai topik matematika atau lingkungan pembelajaran berbasis STEM untuk menelaah dampak yang lebih luas terhadap fleksibilitas representasional dan penalaran mahasiswa.
Co-Authors ADELIA, PUTRI Ali Syahbana Allen Marga Retta, Allen Marga Andinasari Andinasari, Andinasari Asmara, Ratih debora, septi Dian Novitasari Dina Octaria Erlina, Monika Ety Septiati Fitrianti, Destiana Jayusman, Fregis Jumroh, Jumroh Mangunsong, Hanna F Marhamah Marlena, Neni Nila Kesumawati Ningsih, Yunika Lestaria Nova, Erias Nyimas Aisyah Nyimas Aisyah Pakpahan, Theresia Feby Puji Ayurachmawati Puji Ayurachmawati, Puji Putri Fitriasari, Putri Ratu Ilma Indra Putri Rosita, Laili Rosmalinda, Nana Zulkardi Zulkardi Zulkardi