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An Innovative Approach to Automatically Generating Derivative Questions for Calculus with Rule-based Algorithmic Model

Jurnal Penelitian Pendidikan · Vol. 42 No. 2 (2025) · hlm. 540–549

DOI
10.15294/jpp.v42i2.62082
ISSN
2580-4154, 2503-1260
Terbit
2025-10-31
Penerbit
Universitas Negeri Semarang
Bahasa
eng

Abstrak

This study aims to develop an automated system for generating derivative function questions to enhance learning and assessment in calculus education. The system uses a rule-based algorithmic approach to generate questions covering various derivative rules, including constant, power, sum, difference, product, quotient, and chain rules, with randomly generated coefficients and exponents. The system's performance was evaluated by measuring the accuracy of the generated questions, achieving a validity rate of 95.63%, and execution time, with an average of 0.00115 milliseconds per question, indicating high efficiency and effectiveness. The results show that the system successfully generates valid questions across various derivative rules, offering significant contributions to both students and educators in the context of calculus education. The system can be further developed by adding additional derivative rules and integrated into larger educational platforms to support a more comprehensive learning experience.

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  • State University of Semarang
  • University of Brawijaya
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Rekan penulisOrganisasiArtikel bersama
Maria KrisnawatiAfiliasi tidak diketahui8
Mia Hafizah TumanggerAfiliasi tidak diketahui7
Nur QudusAfiliasi tidak diketahui5
Sri Endah WahyuningsihAfiliasi tidak diketahui5
Indah Indi AfifahAfiliasi tidak diketahui5
Yeri SutopoAfiliasi tidak diketahui4
Alfa Faridh SuniState University of Semarang4
Okta PurnawirawanUniversity of Brawijaya4
Erna SetyowatiAfiliasi tidak diketahui4
Musdalifah MusdalifahAfiliasi tidak diketahui3
Milda RuliyantiAfiliasi tidak diketahui3
Eny Widhia AgustinAfiliasi tidak diketahui2
Adhi KusumastutiAfiliasi tidak diketahui2
Eko SupraptonoAfiliasi tidak diketahui2
Basyirun BasyirunAfiliasi tidak diketahui2
Nelly Setyowati AnggraeniAfiliasi tidak diketahui2
Marwiyah MarwiyahAfiliasi tidak diketahui2
Hanan Iqbal AlrahmaState University of Semarang1
Ahmad Fashiha HastawanState University of Semarang1
Ulfah Mediaty AriefState University of Semarang1
Budi SunarkoState University of Semarang1
Hari WibawantoState University of Semarang1
Anggraini MulwindaState University of Semarang1
Anas FauziState University of Semarang1
Dwi OktaviyantiState University of Semarang1
Dina Wulung SavitriState University of Semarang1
Ariska Fitriyana NingrumAfiliasi tidak diketahui1
Hizkia Natanael RichardoAfiliasi tidak diketahui1
Paramesti AstaginaAfiliasi tidak diketahui1
Anantha Revoislami AriolinAfiliasi tidak diketahui1
Kholiq BudimanAfiliasi tidak diketahui1

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Sumber metadata: OAI-PMH (metadata jurnal) https://journal.unnes.ac.id/journals/JPP/oai, pertama di-harvest 5 Nov 2026, terakhir terlihat 5 Nov 2026.
Metadata asli (oai_dc) 
<oai_dc:dc xmlns="http://www.openarchives.org/OAI/2.0/" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:oai_dc="http://www.openarchives.org/OAI/2.0/oai_dc/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/oai_dc/  http://www.openarchives.org/OAI/2.0/oai_dc.xsd">
	<dc:title xml:lang="en">An Innovative Approach to Automatically Generating Derivative Questions for Calculus with Rule-based Algorithmic Model</dc:title>
	<dc:creator xml:lang="en">Widowati, Trisnani</dc:creator>
	<dc:creator xml:lang="en">Septian Eko Prasetyo</dc:creator>
	<dc:creator xml:lang="en">Anan Nugroho</dc:creator>
	<dc:creator xml:lang="en">Ade Novi Nurul Ihsani</dc:creator>
	<dc:creator xml:lang="en">Alfian Ardhiansyah</dc:creator>
	<dc:creator xml:lang="en">Ajeng Rahma Sudarni</dc:creator>
	<dc:creator xml:lang="en">Mulil Khaira</dc:creator>
	<dc:creator xml:lang="en">Clarita Apriliani</dc:creator>
	<dc:creator xml:lang="en">Anik Maghfiroh</dc:creator>
	<dc:subject xml:lang="en">automated item generation, algorithmic question generation, calculus, derivative function, rule-based system</dc:subject>
	<dc:description xml:lang="en">This study aims to develop an automated system for generating derivative function questions to enhance learning and assessment in calculus education. The system uses a rule-based algorithmic approach to generate questions covering various derivative rules, including constant, power, sum, difference, product, quotient, and chain rules, with randomly generated coefficients and exponents. The system's performance was evaluated by measuring the accuracy of the generated questions, achieving a validity rate of 95.63%, and execution time, with an average of 0.00115 milliseconds per question, indicating high efficiency and effectiveness. The results show that the system successfully generates valid questions across various derivative rules, offering significant contributions to both students and educators in the context of calculus education. The system can be further developed by adding additional derivative rules and integrated into larger educational platforms to support a more comprehensive learning experience.</dc:description>
	<dc:publisher xml:lang="en">Universitas Negeri Semarang</dc:publisher>
	<dc:date>2025-10-31</dc:date>
	<dc:type>info:eu-repo/semantics/article</dc:type>
	<dc:type>info:eu-repo/semantics/publishedVersion</dc:type>
	<dc:type xml:lang="en">Peer-reviewed Article</dc:type>
	<dc:format>application/pdf</dc:format>
	<dc:identifier>https://journal.unnes.ac.id/journals/JPP/article/view/62082</dc:identifier>
	<dc:identifier>10.15294/jpp.v42i2.62082</dc:identifier>
	<dc:source xml:lang="en">Jurnal Penelitian Pendidikan; Vol. 42 No. 2 (2025): October 2025; 540-549</dc:source>
	<dc:source>2580-4154</dc:source>
	<dc:source>2503-1260</dc:source>
	<dc:source>10.15294/jpp.v42i2</dc:source>
	<dc:language>eng</dc:language>
	<dc:relation>https://journal.unnes.ac.id/journals/JPP/article/view/62082/10936</dc:relation>
	<dc:rights xml:lang="en">Copyright (c) 2025 Jurnal Penelitian Pendidikan</dc:rights>
</oai_dc:dc>