Development of Entrepreneurship-Integrated PjBL-STEAM Mathematics Teaching Materials to Enhance Vocational High School Students' Mathematical Critical Thinking

Authors

  • Dian pramodyowati Universitas Pasundan, Indonesia
  • In in supianti Universitas Pasundan, Bandung, Indonesia
  • Rani Siti Fitriani Universitas Pasundan, Bandung, Indonesia
  • Mardiah Hafizah Muhammad Hafizi Fakulti Pendidikan, Universiti Teknologi MARA (UiTM), Malaysia

DOI:

https://doi.org/10.35706/sjme.v10i2.13379

Keywords:

Student worksheets, mathematics teaching modules, vocational education, science, technology

Abstract

Vocational high school students' low mathematical critical thinking and the limited availability of project-based mathematics teaching materials that integrate STEAM with entrepreneurship contexts remain major challenges in mathematics education. This study aimed to develop entrepreneurship-integrated Project-Based Learning (PjBL)–STEAM mathematics teaching materials to enhance students' mathematical critical thinking. It employed a Research and Development (R&D) approach using the ADDIE model, which comprises five phases: analysis, design, development, implementation, and evaluation. The participants were 24 tenth-grade students at a vocational high school in Majalengka Regency, West Java, Indonesia. Data were collected using expert validation sheets, a mathematical critical thinking test, interview protocols, and a student response questionnaire. The quality of the materials was assessed in terms of validity, practicality, and effectiveness. The results showed that the materials were valid and practical, both in the strong category, and effective in improving students' mathematical critical thinking, with the improvement reaching the high category. This study contributes to the development of STEAM-based mathematics teaching materials by integrating entrepreneurship-oriented projects into mathematics learning, thereby providing an instructional alternative for fostering mathematical critical thinking among vocational high school students.

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References

Abdilah, A., Agustina, T., & Sukmawardhani, Y. (2025). Project-based learning integrated with STREAM-ESD in kombucha tea production. Journal of Biology Education, 14(2). https://doi.org/10.15294/ujbe.v14i2.28716

Akbari, O., & Sahibzada, J. (2020). Students’ self-confidence and its impacts on their learning process. AIJSSR, 5, 1–15. https://doi.org/10.46281/aijssr.v5i1.462

Andriani, D. (2023). The effect of self-confidence on students' understanding of mathematical concepts. Noumerico, 1(1). https://doi.org/10.33367/jtme.v1i1.3548

Anshori, I., Parno, P., Hidayat, A., & Ali, M. (2025). Enhancing critical thinking in optics through project-based STEAM learning. Jurnal Pendidikan Fisika dan Teknologi, 11(1). https://doi.org/10.29303/jpft.v11i1.8750

Arin, A., Aisyah, N., Susanti, E., & Nuraeni, Z. (2025). Pembelajaran Matematika dengan STEAM dalam Persepsi Siswa. SJME (Jurnal Tertinggi Pendidikan Matematika), 9(1), 133–148. https://doi.org/10.35706/sjme.v9i1.98

Aryasandy, N., Arwizet, A., Ambiyar, A., Sukardi, S., & Rozi, F. (2025). Analyzing the influence of critical thinking skills, self-efficacy, digital literacy, and industrial internship on students' work readiness: SEM-PLS approach. Jurnal Pendidikan MIPA, 26(1), 721–735. https://doi.org/10.23960/jpmipa.v26i1.pp721-735

Azizah, D., & Fadlikah, V. (2023). Analysis of mathematical problem-solving ability in view of mathematical disposition. Mathline: Jurnal Matematika dan Pendidikan Matematika, 8(1). https://doi.org/10.31943/mathline.v8i1.298

Cahyani, G., & Sulastri, S. (2021). Pengaruh project based learning dengan pendekatan STEAM terhadap kemampuan berpikir kritis pada pembelajaran online di SMK Negeri 12 Malang. Jurnal Pendidikan Akuntansi (JPAK), 9(3), 372–379. https://doi.org/10.26740/jpak.v9n3.p372-379

Chistyakov, A., Zhdanov, S., Avdeeva, E., Dyadichenko, E., Kunitsyna, M., & Yagudina, R. (2023). Exploring the characteristics and effectiveness of project-based learning for science and STEAM education. Eurasia Journal of Mathematics, Science and Technology Education. https://doi.org/10.29333/ejmste/13128

Diningtyas, G., Rahmatina, D., & Azmi, R. (2025). Analisis kemampuan pemecahan masalah matematis siswa dalam menyelesaikan soal kontekstual berorientasi higher order thinking skills ditinjau dari adversity quotient. Jurnal Pendidik Indonesia, 6(2). https://doi.org/10.61291/jpi.v6i2.63

Elvira, R., & Mudjiran, M. (2019). Hubungan self-efficacy dengan kedisiplinan belajar siswa SMK. Jurnal Neo Konseling. https://doi.org/10.24036/00108kons2019

Elwuar, S., Rumahlatu, D., & Liline, S. (2024). Application of PJBL-STEAM and PBL STEAM learning models. BIOEDUPAT, 4(2), 220–229. https://doi.org/10.30598/bioedupat.v4.i2.pp220-229

Faoziyah, N. (2021). Kemampuan pemecahan masalah matematis siswa melalui pendekatan STEM berbasis PBL. Pasundan Journal of Mathematics Education, 11(1). https://doi.org/10.23969/pjme.v11i1.3942

Hardianti, A., Suharti, S., & Purnamawati, P. (2022). Pentingnya manajemen pembelajaran critical thinking skill pada sekolah menengah kejuruan (SMK). Vocational: Jurnal Inovasi Pendidikan Kejuruan, 2(2). https://doi.org/10.51878/vocational.v2i2.1159

Hidayati, S. (2022). The effect PjBL model based on STEAM and TPACK on mathematics learning outcomes. Al Hikmah: Journal of Education, 3(2). https://doi.org/10.54168/ahje.v3i2.124

Irhamna, I., Amry, Z., & Syahputra, H. (2020). Contribution of mathematical anxiety, learning motivation and self-confidence to students’ mathematical problem solving. BirLE Journal, 3, 1759–1772. https://doi.org/10.33258/birle.v3i4.1343

Kirana, A., & Partasiwi, N. (2023). Pengaruh penerapan pendekatan matematika realistik terhadap kemampuan berpikir kritis siswa. Lentera: Jurnal Ilmiah Kependidikan, 16(1). https://doi.org/10.52217/lentera.v16i1.1082

Kurniati, D., Harimukti, R., & Jamil, N. (2016). Kemampuan berpikir tingkat tinggi siswa SMP di Kabupaten Jember dalam menyelesaikan soal berstandar PISA. Jurnal Penelitian dan Evaluasi Pendidikan, 20, 142–155. https://doi.org/10.21831/pep.v20i2.8058

Miterianifa, M., Ashadi, A., Saputro, S., & Suciati, S. (2021). Higher order thinking skills in the 21st century: Critical thinking. In Proceedings of the 1st International Conference on Social Science, Humanities, Education and Society Development (ICONS 2020) (Tegal, Indonesia). https://doi.org/10.4108/eai.30-11-2020.2303766

Noviyani, A., Maison, M., & Syaiful, S. (2022). The influence of PJBL-STEM and PBL-based learning on motivation and creative thinking. Psychological Evaluation in Technology and Education Research, 4(1). https://doi.org/10.33292/petier.v4i1.115

Nurrindar, M., & Wahjudi, E. (2021). Pengaruh self-efficacy terhadap keterlibatan siswa melalui motivasi belajar. Jurnal Pendidikan Akuntansi (JPAK), 9(1), 140–148. https://doi.org/10.26740/jpak.v9n1.p140-148

Pebrianti, A., Sari, E. N., Hakim, D. L., Firmansyah, D., Heryanto, F. N., & Bonyah, E. (2026). Menjelajahi Pemikiran Kritis dan Pemecahan Masalah Siswa dalam Persamaan Linear Dua Variabel Menggunakan Konteks Batik. SJME (Jurnal Tertinggi Pendidikan Matematika), 10(1), 211–227. https://doi.org/10.35706/sjme.v10i1.13321

Pradani, Y., Praya, R., & Anjarwati, P. (2025). Efikasi diri dan implikasinya terhadap hasil belajar siswa SMK. Panthera, 5(3). https://doi.org/10.36312/panthera.v5i3.599

Pramasdyahsari, A., Setyawati, R., Aini, S., et al. (2023). Fostering students’ mathematical critical thinking skills through digital book STEM PjBL. Eurasia Journal of Mathematics, Science and Technology Education. https://doi.org/10.29333/ejmste/13342

Priatna, N., Avip, B., & Mulyati Mustika Sari, R. (2022). Efektifitas Project Based Learning-STEM dan Pemecahan Masalah Matematis Siswa pada Materi Trigonometri. SJME (Jurnal Tertinggi Pendidikan Matematika), 6(2), 151–161. https://doi.org/10.35706/sjme.v6i2.6588

Purnamawati, P., Arfandi, A., Yahya, M., Sabran, S., & Darmawan, F. (2022). Teachers’ perception on critical thinking skills of vocational high school students. In Proceedings of the 3rd International Conference on Education Science (ICES 2021) (Jakarta, Indonesia). https://doi.org/10.4108/eai.17-11-2021.2318632

Putri, P., Astawa, I., & Suharta, I. (2025). Integrating PjBL-STEAM with Balinese Meru architecture to enhance students' mathematical conceptual understanding. International Journal of Education Management and Technology, 3(2). https://doi.org/10.58578/ijemt.v3i2.5620

Putriani, C., & Aini, I. (2022). Description of mathematical critical thinking skills for vocational high school students during the COVID-19 pandemic. Eduma: Mathematics Education Learning and Teaching, 11(1). https://doi.org/10.24235/eduma.v11i1.10001

Putro, R., & Bernarto, I. (2024). The effect of self-efficacy, self-regulated learning, and student engagement. Jurnal Nalar Pendidikan, 12(1). https://doi.org/10.26858/jnp.v12i1.58908

Rahman, A., Jana, N., & Asdar, A. (2025). Pengaruh penerapan model project based learning (PjBL) terintegrasi STEAM (science, technology, engineering, art, and mathematics) terhadap kreativitas siswa. Issues in Mathematics Education, 9(1). https://doi.org/10.35580/imed.v9i1.5533

Rohmah, L., Yaniawati, P., Saputra, I., & Sharif, S. (2025). Mobile learning innovation to improve vocational students’ mathematical communication skills and dispositions. Pasundan Journal of Mathematics Education, 15(1), 1–5.

Sari, R. M. M., & Sopiany, H. (2023). Pengaruh Pembelajaran Berbasis Proyek STEM dalam Meningkatkan Kemampuan Matematika Visual Siswa SMA. SJME (Supremum Journal of Mathematics Education), 7(2), 223–231. https://doi.org/10.35706/sjme.v7i2.8934

Sugiyono. (2023). Metode penelitian pendidikan. Bandung: Alfabeta.

Sukmawati, E., Imanah, N., & Rantauni, D. (2023). Implementation and challenges of project-based learning of STEAM in the university during the pandemic: A systematic literature review. JINoP (Jurnal Inovasi Pembelajaran), 9(1). https://doi.org/10.22219/jinop.v9i1.25177

Supianti, I. I., Yaniawati, P., Bonyah, E., Hasbiah, A. W., & Rozalini, N. (2025). STEAM approach in project-based learning to develop mathematical literacy and students' character. Infinity Journal, 14(2), 283–302.

Supianti, I. I., Yaniawati, P., Ramadhan, A. G., Setyaji, M., & Puspitasari, P. (2022). Improving connection ability and mathematical disposition of junior high school students with Connecting, Organizing, Reflecting, Extending (CORE) learning model. Jurnal Pendidikan Matematika, 16(2), 187–202. https://doi.org/10.22342/jpm.16.2.17079.187-202

Supianti, I. I., Zakiyah, K., & Agustian, F. (2021). E-learning: Pencapaian productive disposition berdasarkan kemampuan awal matematis siswa SMP. JNPM (Jurnal Nasional Pendidikan Matematika), 5(2), 310–325. https://doi.org/10.33603/jnpm.v5i2.5331

Supriyatin, S., Rahayu, S., Suhadi, A., & Simarmata, R. (2023). Integrasi STEAM–PjBL pada pembelajaran IPA di SMP Negeri 3 Karangmojo, Bantul–Yogyakarta: Proyek mikroskop sederhana. Jurnal Terapan Abdimas, 8(1). https://doi.org/10.25273/jta.v8i1.13909

Triprani, E., Sulistyani, N., & Aini, D. (2023). Implementasi pembelajaran STEAM berbasis PjBL terhadap kemampuan problem solving pada materi energi alternatif di SD. Scholaria: Jurnal Pendidikan dan Kebudayaan, 13(2), 176–187. https://doi.org/10.24246/j.js.2023.v13.i2.p176-187

Yaniawati, R. P., Indrawan, R., & Setiawan, G. (2019). CORE model on improving mathematical communication and connection. International Journal of Instruction, 12(4), 639–654.

Zayyinah, Z., Erman, E., Supardi, Z., Hariyono, E., & Prahani, B. (2022). STEAM-integrated project based learning models: Alternative to improve 21st century skills. Advances in Social Science, Education and Humanities Research. https://doi.org/10.2991/assehr.k.211229.039

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Published

2026-07-20

How to Cite

pramodyowati, D., supianti, I. in, Fitriani, R. S., & Hafizi, M. H. M. (2026). Development of Entrepreneurship-Integrated PjBL-STEAM Mathematics Teaching Materials to Enhance Vocational High School Students’ Mathematical Critical Thinking. SJME (Supremum Journal of Mathematics Education), 10(2), 357–373. https://doi.org/10.35706/sjme.v10i2.13379

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