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The DECADE learning model: Integrating learning theories in mathematics education Putra, Fredi Ganda; Sutiarso, Sugeng; Nurhanurawati, Nurhanurawati; Hariri, Hasan; Caswita, Caswita; Maulina, Dina
Indonesian Journal of Science and Mathematics Education Vol. 9 No. 1 (2026): Indonesian Journal of Science and Mathematics Education
Publisher : Universitas Islam Negeri Raden Intan Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24042/ijsme.v9i1.30746

Abstract

Mathematics education has long been influenced by diverse learning theories that are frequently applied in isolation, leading to theoretical fragmentation in instructional design. This study addresses that gap by proposing the DECADE learning model as a theoretically integrated framework that systematically synthesizes cognitivism, constructivism, information processing theory, dual coding theory, and cognitive load theory within a coherent instructional architecture. The study aims to establish the epistemological foundation and structural validity of this multi-theory integration in the context of mathematics education. Employing a mixed-method developmental design, qualitative thematic analysis was conducted to map the five theoretical foundations into a progressive six-phase instructional structure, followed by quantitative expert judgment to assess content and construct validity. The results demonstrate strong conceptual stability, with mean validity indices exceeding 90% of the ideal score, indicating high alignment between theoretical rationale, instructional syntax, and structural coherence. Rather than claiming empirical effectiveness, this study confirms the theoretical and structural feasibility of DECADE as an expert-validated framework. The findings contribute to mathematics education by offering a principled synthesis that bridges constructivist meaning construction and cognitive regulation, thereby providing a consolidated theoretical foundation for future empirical investigation and instructional innovation.
THE EFFECT OF PROBLEM BASED LEARNING MODEL ON STUDENTS MATHEMATICAL CRITICAL THINKING ABILITY Mufidah, Hasna; Caswita, Caswita; Wijaya, Agung Putra
JP2M (Jurnal Pendidikan dan Pembelajaran Matematika) Vol 11, No 2 (2025)
Publisher : Universitas Bhinneka PGRI

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29100/jp2m.v11i2.7791

Abstract

This quasi-experimental study sought to assess the impact of the problem-based learning model on students' abilities in mathematical critical thinking. The population for this study consisted of all seventh-grade students at SMP Negeri 8 Bandar Lampung during the 2024/2025 academic year, totaling 231 students distributed across eight classes. The samples in this study were selected from two groups of 28 students and 27 students, chosen through cluster random sampling. The research design employed was a pretest-posttest group design. The data for this study were quantitative, collected from tests assessing students' mathematical critical thinking abilities. According to the results of hypothesis testing using the t-test, students who engaged in the problem-based learning model demonstrated a more substantial increase in their mathematical critical thinking skills than those who participated in the STAD-type cooperative learning model. This finding suggests that the problem-based learning approach significantly influences the development of students' mathematical critical thinking abilities.
Co-Authors Abdul Aziz Achmad Ricky Deriyanto Adelina Hasyim Adelina Septia Adi Suripto Afifah, Nadia Zahra Aflah Mufidatul Mahmudah Afria Wulandari Agata Intan P. Ageng Sanjaya Agung Putra Wijaya Albertus Tyas Graha Adicahyo Alfiansah, Saeful Ali Afandi Ambrita, Alben Ana Wahyu Nurrohmah Andriyani Mustika Anggi Hernawan Anggraeni Saptia Ariati Anggun Rahma Dwiani Anniya Mutiara Tsani Aprilia Fitriningsih Ardi Nurrahman Ari Tri Wijayanti Arnelis Djalil Arum Dahlia Mufidah Asmiati Asmiati Astina Astina Astuti, Juwita Aulia Eka Alzianina Aulia Rahmat Ayu Rahmah Putri Azahra, Siti Rahma Baharuddin Risyak Berta Khoiriyati Brigita Ayu Kirana Dewi Budi Koestoro Cinta Octaviani Siahaan Clara Dwi Alfionita Darsono Darsono Darwanto Darwanto Desi Puspica Sari Desi Triana Destiana Apriani Destino, Mateus Diki Desy P. Herdyen Diana Puspita Sari Dila Saktika Negara, Dila Saktika Dina Maulina Dirma Yulita Dwi Rika Pratiwi Dwi Sumarno Een Yayah Haenilah Een Yayah Haenilah Eki Anisa Putri Elizabeth Cahya Kristina Elvandri Yogi Pratama Elyda Sari endah widyastuti Enie Augus Junaety Erprabowo, Alfian Fajar Magdalena Fauziah Kartika Ferdianto Ferdianto Fitri Anita Sari Fitri Setyaningsih Fitri, Tri Mentari Fredi Ganda Putra Gimin Suyadi Girsang, Melan Kristina Hamidah Hamidah Hani Ervina Pansa Haninda Bharata Haninda Bharata Hardian Persi Brata Hasan Hariri Heni Puspitasari Herlin Novalia Herpratiwi Herpratiw Hesti Desy Arianti Hidayat, Sukur Hidayatullah Hidayatullah Husni Mubarok Hutabarat, Madya Ignasius Fandy Jayanto, Ignasius Fandy Imama, Khoirunnisa Ines Febrianti Ismi Vita Mutahiria Jeaniver Yuliane Kharisma Ladona, Elvin Ervi Lia Putri Windi Haridini Lilik Sabdaningtyas Lilik Sabdaningtyas Linda Dwi Astuti Lita Yulianti M Edoardo M. Albert Hakim M. Coesamin M. Thoha B.S. Jaya Mahendra, As'ari Eka Maya Adina Pratama Miftahul Karim Mufidah, Hasna Muhammad Habib Ramadhani Muhammmad Kamilul Mukminin Mulkiah Mulkiah Ni Kadek Suriani Ni Made Ariestaniati Niken Dewi Ambika Niluh Eka Darmayanti Noval Tri Jaya Novarian Novarian Noviyani, Selvi Nurain Suryadinata Nurdiana, Ani Nurhanurawati Nurhanurawati Nurhanurawati Nurhanurawati Nurul Hasanah Nurul Rohmah Okvita Dwi Ningrum Pentatito Gunowibowo Pirma, Fitri Oktaria Pratikta, Maulana Eka Purwoko, Agus Qorri Ayuni Rangga Firdaus Rani, Oni Maya Ratna Wulan Ndari Resti Ayu Wardhani Retna Ayuningrum Ria Anzani Artha Rini Asnawati Rini Gustina Rini Haswin Pala Ririn Nahriyah Rivan Marup Riya Ardila Dau Rochmiyati Rochmiyati Ryzal Perdana Safitri, Vivi Irvana sandi, dian pratiwi maya Saputri, Suci Indah Shinta Khairunisa Furqoni SITI HOTIJAH Siti Lestari Solly Aryza Sova, Faila Sri Ariyanti Sri Hastuti Noer Sri Wulandari Suci Febrika Suci Indah Saputri Sugeng Sutiarso Sugeng Sutiarso Sugeng Sutiarso Sutiarso Suhariyanto Suhariyanto Suharsono S Suharsono Suharsono Suharsono Suharsono Supriatin Supriatin Suwarjo Suwarjo Syahnia, Shovira Maulida syaifuddin syaifuddin Syariffuddin Dahlan Syarifuddin Dahlan Tika Rahayu Tina Yunarti Tina Yunarti Titi Andara Tri Mustikaningrum Triyana Indah Lestari Undang Rosidin Wahyu Setiawan Wapung Ekawati Wayan Rumite Widyastuti Widyastuti Widyastuti Widyastuti Wijayanti, Ari Tri Wulansari, Shella Dyah Yosse Pratama Yudha Pratama Yulian Surya Pratama Yulinda Yulinda Zakiya Afriyanti