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Kurniadi, Elika
Program Studi Pendidikan Matematika, Universitas Sriwijaya
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Journal : Mathematics Education Journal

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Local Instruction Theory: Supporting Derivative Concept Learning Through Climate Change Context Kurniadi, Elika; Zulkardi, Zulkardi; Putri, Ratu Ilma Indra; Darmawijoyo, Darmawijoyo
Mathematics Education Journal Vol. 20 No. 1 (2026): Mathematics Education Journal
Publisher : Universitas Sriwijaya in collaboration with Indonesian Mathematical Society (IndoMS)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/mej.v20i1.pp25-48

Abstract

This research aims to develop a Local Instructional Theory (LIT) for teaching the concept of derivatives through internalization using the real-life context of climate change. It employed a three-phase design strategy: (1) the development of a Hypothetical Learning Trajectory (HLT); (2) teaching experiments conducted with 5 students in pilot experiments and 37 Grade 11 students in final experiment; and (3) a retrospective analysis. Data was collected through observations of classroom interactions, student worksheets, tests, interviews, and field notes. The retrospective analysis involved comparing the actual learning processes to the HLT. The results indicate that students' perceptions of the derivative developed through three fundamental activities: (1) amount of change and instantaneous rate; (2) rates of change, where the derivative was introduced as a tool for understanding instantaneous changes; and (3) prediction, in which students used derivatives to forecast future climatic patterns. These exercises helped students to conceptually understand the derivative as a measure of instantaneous rate of change, while also promoting mathematical modeling and environmental awareness. The resulting LIT offers a pragmatically based approach to conveying the concept of calculus in contextualized and provides practical implications for the construction of curricula and the teaching of mathematics at the secondary school level.
Co-Authors Agustini, Nadia Alkaff, Nazhmiah Khaalishah Allen Marga Retta Anggria Septiani Mulbasari Araiku, Jeri Artika Sari Atikarani Noer Saleha Azma, Tiara Rondiana Bernika Indrialis Ifana Bunda Harini Bunda Harini Cahyaningsih, Desi Cecil Hiltrimartin Cecil Hiltrimartin Choirunisa, Choirunisa Darmawijoyo, Darmawijoyo Delia Septimiranti Dewi Rawani Ely Susanti Fawensi, Puja Teressa Fitri Maya Puspita Fitrisyah, Muhammad Aidil Harini, Bunda Hasbi Ramadhan Herlina, Rini Jeri Araiku Khairida, Khairida Kurniawan, Ahmad Afrideni Laela Sagita Lisnani Lisnani Lisnani Lisnani Malalina Malalina Maya Sari Meryansumayeka Meryansumayeka Muhammad Yusuf Muhammad, Bagas Al Faruq Muharani, Ade Mulyono, Budi Nabila Putri Isamer Nabilah Hauda Nadiah Setiyowati Nety Wahyu Saputri Novita Sari Novita Sari Nuraisyah, Raisya Novita Nyimas Aisyah Nyimas Aisyah Otniel, Otniel Pratiwi, Weni Dwi Pratiwi, Weni Dwi Puji Astuti Puji Astuti Rahayu, Chika Rahma Siska Utari Ramadhaniyah, Mona Ratnanenci, Cici Ratu Ilma Indra Putri Retna Safitri, Erna Rini Herlina Rita Inderawati Robinson Sitepu Sari, Arika Sari, Ratih Purnama SATRIYAS ILYAS Scristia, Scristia Selvi Marcellia Septimiranti, Delia Shintya Apriliyani Simarmata, Ruth Helen Somakim, Somakim Suganda, Vina Amilia Sukmaningthias, Novika Susanti, Elsa Syabillah, Dinda Tria Gustiningsi Vina Amalia Suganda Vina Amalia Suganda Viona Adelia Windarti, Rasdiana Yukans, Septy Sari Yunita Yunita Yusuf Hartono Zuli Nuraeni Zulkardi Zulkardi Zulkardi Zulkardi Zulkardi