Vol. 12 No. 2 (2026): In Progress
Open Access
Peer Reviewed

The Effect of Project Activity Cooperative Exercise (PACE) Learning Model on Students’ Mathematical Communication Skills in Science Integrated Mathematics Education

Authors

Reka Afrillia Zeni , Edwin Musdi , Laswadi , Eline Yanty Putri Nasution , Romi Kurniawan

DOI:

10.29303/jppipa.v12i2.14450

Published:

2026-02-25

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Abstract

This quasi-experimental study examined the effect of the Project, Activity, Cooperative Learning, and Exercise (PACE) model on eighth-grade students' mathematical communication ability in solid geometry. Forty students from SMPN 6 Model Kota Sungai Penuh were assigned to an experimental group (PACE model) and a control group (conventional instruction). Both groups received six learning sessions on cubes and cuboids, followed by a six-item essay test assessing three communication indicators: written text, drawing, and mathematical expressions. Data analysis using independent samples t-test revealed the experimental group achieved a significantly higher mean score (81.25, high category) compared to the control group (73.125, moderate category); t(38) = 2.899, p = 0.006. The rejection of the null hypothesis confirmed that PACE implementation positively influenced students' ability to express mathematical ideas through verbal explanations, accurate visual representations, and appropriate symbolic notations. The model's project-based and collaborative components effectively scaffolded students' articulation of geometric concepts, demonstrating its pedagogical value for enhancing mathematical discourse in Indonesian lower secondary classrooms.

Keywords:

Collaborative learning Mathematical communication PACE learning model Solid geometry Quasi-experimental design

References

Abakirov, A., Aushakhmanova, B., Asipova, N., Raimkulova, A., & Tkacheva, S. (2025). Integrating multicultural and learner-centred approaches into continuous technological education: Insights from higher education in Central Asia. Social Sciences and Humanities Open, 12. https://doi.org/10.1016/j.ssaho.2025.101975 DOI: https://doi.org/10.1016/j.ssaho.2025.101975

Agyekum, K., Kotei-Martin, J. N., Pittri, H., Gasue, R., & Sackey, K. N. Y. S. (2025). Strategies enhancing the implementation of design for adaptability in the Ghanaian construction industry: An exploratory and confirmatory factor analyses. Green Technologies and Sustainability. https://doi.org/10.1016/j.grets.2025.100268 DOI: https://doi.org/10.1016/j.grets.2025.100268

Ali, S., Abuhmed, T., El-Sappagh, S., Muhammad, K., Alonso-Moral, J. M., Confalonieri, R., Guidotti, R., Del Ser, J., Díaz-Rodríguez, N., & Herrera, F. (2023). Explainable Artificial Intelligence (XAI): What we know and what is left to attain Trustworthy Artificial Intelligence. Information Fusion, 99. https://doi.org/10.1016/j.inffus.2023.101805 DOI: https://doi.org/10.1016/j.inffus.2023.101805

Anderle, F., Cattoni, A., Venuti, P., & Pasqualotto, A. (2025). Exploring the impact and acceptability of gamified tools to address educational needs in decoding and writing skills: A pilot study. Journal Research in Developmental Disabilities. https://doi.org/10.1016/j.ridd.2025.104967 DOI: https://doi.org/10.1016/j.ridd.2025.104967

Arnab, S., Masters, A., Purnomo, R. A., Mahon, D., & Minoi, J. L. (2025). Playful and frugal learning design: A value-based approach to inclusive and sustainable STEM education. Social Sciences and Humanities Open, 12. https://doi.org/10.1016/j.ssaho.2025.101923 DOI: https://doi.org/10.1016/j.ssaho.2025.101923

Avishai, T., Palatnik, A., & Ben-David Kolikant, Y. (2025). Amplifiers and filters in teacher learning of student-centered mathematics instruction. Teaching and Teacher Education, 156. https://doi.org/10.1016/j.tate.2025.104943 DOI: https://doi.org/10.1016/j.tate.2025.104943

Badia-Valiente, J. D., & Gil-Castell, O. (2025). ChEngBoost: Vitaminised and gamified problem-based learning of chemical engineering bases in biotechnology. Education for Chemical Engineers, 53, 62–70. https://doi.org/10.1016/j.ece.2025.07.006 DOI: https://doi.org/10.1016/j.ece.2025.07.006

Baffo, I., Leonardi, M., D’Alberti, V., & Petrillo, A. (2024). Optimizing public investments: A Sustainable Economic, Environmental, and Social Investment Multi-criteria Decision Model (SEESIM. Regional Science Policy and Practice, 16(11). https://doi.org/10.1016/j.rspp.2024.100140 DOI: https://doi.org/10.1016/j.rspp.2024.100140

Barnett, E., Bullara, A., & Holman, E. A. (2025). Evaluating asynchronous motivational interviewing training for nursing students: A quantitative study. Teaching and Learning in Nursing, 21(1), 132– 137. https://doi.org/10.1016/j.teln.2025.08.028 DOI: https://doi.org/10.1016/j.teln.2025.08.028

Bradley, L. (2025). Life without Clocks: Experimental autoethnography for strange-ing time and queering futures, in and through Higher Education. Futures, 103739. https://doi.org/10.1016/j.futures.2025.103739 DOI: https://doi.org/10.1016/j.futures.2025.103739

Buur, C., Mackrill, T., Hybholt, L., Nissen, E. R., & O’Connor, M. (2024). Older Bereaved Individuals’ Experiences of Cognitive-Behavioral Therapy for Complicated Grief Reactions: A Qualitative Multistage Focus Group Approach. Cognitive and Behavioral Practice, 32(1), 56–69. https://doi.org/10.1016/j.cbpra.2024.06.002 DOI: https://doi.org/10.1016/j.cbpra.2024.06.002

Casas, P., & Palomes, X. (2025). Building Society 5.0: A foundation for decision-making based on open models and digital twins. Advanced Engineering Informatics, 69, 103970. https://doi.org/10.1016/j.aei.2025.103970 DOI: https://doi.org/10.1016/j.aei.2025.103970

Chigbu, B. I., & Makapela, S. L. (2025). AI in education, sustainability, and the future of work: An integrative review of industry 5.0, education 5.0, and work 5.0. Journal of Open Innovation. https://doi.org/10.1016/j.joitmc.2025.100645 DOI: https://doi.org/10.1016/j.joitmc.2025.100645

Chuaphun, P., & Samanchuen, T. (2024). Exploring success factors and relationships in virtual learning using ISM and fuzzy MICMAC analysis. Heliyon, 10(7). https://doi.org/10.1016/j.heliyon.2024.e28100 DOI: https://doi.org/10.1016/j.heliyon.2024.e28100

Coelho, F., Rando, B., Bernardes, R., Pontífice-Sousa, P., Gonçalves, D., & Abreu, A. M. (2025). Playing solo, against rivals, or in a team? Exploring individual, competitive, and cooperative dynamics in gamified digital education. Entertainment Computing, 56. https://doi.org/10.1016/j.entcom.2025.101065 DOI: https://doi.org/10.1016/j.entcom.2025.101065

Ebbes, R., Zee, M., Jansen, B. R. J., Koomen, H. M. Y., & Schuitema, J. A. (2025). Promoting self-regulated learning during the covid-mandated remote learning period: Insights from interviews with primary school teachers. Teaching and Teacher Education, 169. https://doi.org/10.1016/j.tate.2025.105287 DOI: https://doi.org/10.1016/j.tate.2025.105287

Fagundo-Rivera, J., Garrido-Bueno, M., Romero-Castillo, R., Badillo-Sánchez, N., & Fernández-León, P. (2025). Playful experience, learning perception, and motivation in a cooperative escape room activity in undergraduate nursing education: A mixed-methods study. Learning and Instruction, 100. https://doi.org/10.1016/j.learninstruc.2025.102212 DOI: https://doi.org/10.1016/j.learninstruc.2025.102212

Goyal, S., Dutta, R. R., Dev, S., Raju, K. N., & Bhatt, M. W. (2025). MindLift: AI-powered mental health assessment for students. Neuroscience Informatics, 5(2). https://doi.org/10.1016/j.neuri.2025.100208 DOI: https://doi.org/10.1016/j.neuri.2025.100208

Guichot-Reina, V., & Torre-Sierra, A. M. (2025). Gender, work and national identity: The image of women in school textbooks during the Spanish democracy. International Journal of Educational Research, 133. https://doi.org/10.1016/j.ijer.2025.102683 DOI: https://doi.org/10.1016/j.ijer.2025.102683

Hagerer, I. (2025). PlayMINT—an effective digital learning game for leadership competencies of female STEM students. Computers and Education Open, 8. https://doi.org/10.1016/j.caeo.2025.100256 DOI: https://doi.org/10.1016/j.caeo.2025.100256

Hamed Banirazi Motlagh, S., Hosseini, S. M. A., & Pons-Valladares, O. (2022). Integrated value model for sustainability assessment of residential solar energy systems towards minimizing urban air pollution in Tehran. Solar Energy, 249, 40–66. https://doi.org/10.1016/j.solener.2022.10.047 DOI: https://doi.org/10.1016/j.solener.2022.10.047

Honorato-Errázuriz, J., Bastidas-Schade, V., & Ramírez-Montoya, M. S. (2024). Reading for all implementing public policies: Quantitative method and process evaluation in early literacy. International Journal of Educational Research Open, 8. https://doi.org/10.1016/j.ijedro.2024.100420 DOI: https://doi.org/10.1016/j.ijedro.2024.100420

Jager, L., Denessen, E., Cillessen, A. H. N., & Meijer, P. C. (2025). Instructional differentiation in secondary education: Teachers’ actions and reasoning. Teaching and Teacher Education, 159. https://doi.org/10.1016/j.tate.2025.105009 DOI: https://doi.org/10.1016/j.tate.2025.105009

Kammer-Kerwick, M., Muralidharan, A., Oommen, A., Purohit, I., Caldas, C., & Markman, A. B. (2025). Next practice: A trust-and-cooperation “Neighborhood” model for multi-project delivery. Project Leadership and Society, 6. https://doi.org/10.1016/j.plas.2025.100204 DOI: https://doi.org/10.1016/j.plas.2025.100204

Kopeinig, J., Woschank, M., & Olipp, N. (2024). Industry 4.0 Technologies and their Implications for Environmental Sustainability in the Manufacturing Industry. Procedia Computer Science, 232, 2777–2789. https://doi.org/10.1016/j.procs.2024.02.095 DOI: https://doi.org/10.1016/j.procs.2024.02.095

Krawczyk, A., Jaguszewska, N., Ziółkiewicz, W., & Grodzińska-Jurczak, M. (2023). The ivory tower of academia in the era of climate change: European scientists’ engagement in science popularization related to single-use plastics. Environmental Science and Policy, 146, 185–202. https://doi.org/10.1016/j.envsci.2023.05.016 DOI: https://doi.org/10.1016/j.envsci.2023.05.016

Laino, E., & Iglesias, G. (2024). Beyond coastal hazards: A comprehensive methodology for the assessment of climate-related hazards in European coastal cities. Ocean and Coastal Management, 257. https://doi.org/10.1016/j.ocecoaman.2024.107343 DOI: https://doi.org/10.1016/j.ocecoaman.2024.107343

Liew, M., Li, Z., & Cao, J. (2026). Hierarchy in green: Subordinate executives and eco-innovation dynamics. Energy Economics, 109146. https://doi.org/10.1016/j.eneco.2026.109146 DOI: https://doi.org/10.1016/j.eneco.2026.109146

Loomans, N., Niamir, L., Zimm, C., & Alkemade, F. (2025). Quantifying the potential of energy communities in renewable electricity generation in The Netherlands. Energy Research and Social Science, 131. https://doi.org/10.1016/j.erss.2025.104523 DOI: https://doi.org/10.1016/j.erss.2025.104523

Lu, J. (2025). The development of EFL teacher agency for research in a domestic visiting scholar program in China: A case study. Acta Psychologica, 262. https://doi.org/10.1016/j.actpsy.2025.106161 DOI: https://doi.org/10.1016/j.actpsy.2025.106161

Marquez, D. X., Tellez, M., Ocampo-Mota, J., Jaldin, M. A., Hughes, S., Ajilore, O., Chen, J., Walton, S., & Muramatsu, N. (2025). CEREBRO: A home-based physical activity study for older Latino adults. Contemporary Clinical Trials Communications, 44. https://doi.org/10.1016/j.conctc.2025.101436 DOI: https://doi.org/10.1016/j.conctc.2025.101436

Mekruksavanich, S., Phaphan, W., & Jitpattanakul, A. (2025). A Deep Multi-Task Learning Network for Activity Recognition and User Identification Using Smartphone Sensors. Procedia Computer Science, 256, 1350–1357. https://doi.org/10.1016/j.procs.2025.02.248 DOI: https://doi.org/10.1016/j.procs.2025.02.248

Mesny, A., Roberge-Maltais, I., & Galy, A. (2025). Innovative assessment and grading practices in higher education: a critical exploration for management educators. International Journal of Management Education, 24(1). https://doi.org/10.1016/j.ijme.2025.101307 DOI: https://doi.org/10.1016/j.ijme.2025.101307

Misirli, A., & Komis, V. (2023). Computational thinking in early childhood education: The impact of programming a tangible robot on developing debugging knowledge. Early Childhood Research Quarterly, 65, 139–158. https://doi.org/10.1016/j.ecresq.2023.05.014 DOI: https://doi.org/10.1016/j.ecresq.2023.05.014

Monginho, R. R., Jong, F., & Costa, P. (2025). Video technologies supporting collaborative learning and knowledge building in initial teacher education: A PRISMA-guided systematic review. Social Sciences and Humanities Open, 12. https://doi.org/10.1016/j.ssaho.2025.102075 DOI: https://doi.org/10.1016/j.ssaho.2025.102075

Montaño Ramirez, A., & Petersen, A. M. (2025). Transformation of Global Science core–periphery structure towards a multi-polar horizon: The Rise of China and the Global South from 1980–2020. Research Policy, 55(1). https://doi.org/10.1016/j.respol.2025.105370 DOI: https://doi.org/10.1016/j.respol.2025.105370

Muttaqin, S., Rohmah, Z., & Junining, E. (2025). Modelling an English learning community of practice (CoP) to promote bilingualism. International Journal of Educational Research Open, 9. https://doi.org/10.1016/j.ijedro.2025.100521 DOI: https://doi.org/10.1016/j.ijedro.2025.100521

Nahar, S. (2023). Modeling the effects of artificial intelligence (AI)-based innovation on sustainable development goals (SDGs): Applying a system dynamics perspective in a cross-country setting. Technological Forecasting and Social Change, 201. https://doi.org/10.1016/j.techfore.2023.123203 DOI: https://doi.org/10.1016/j.techfore.2023.123203

Nathaniel, J., Oyelere, S. S., Suhonen, J., & Tedre, M. (2025). Investigating the impact of generative AI integration on the sustenance of higher-order thinking skills and understanding of programming logic. Computers and Education: Artificial Intelligence, 9. https://doi.org/10.1016/j.caeai.2025.100460 DOI: https://doi.org/10.1016/j.caeai.2025.100460

Normore, G. P., Leibovitch, Y. M., Brown, D. J., Pearson, S., Mazzola, C., Ellerton, P. J., & Watt, G. (2024). Investigating the impact of critical thinking instruction on writing performance: A multilevel modelling analysis of relative gain data in the Australian national assessment program. Thinking Skills and Creativity, 53. https://doi.org/10.1016/j.tsc.2024.101546 DOI: https://doi.org/10.1016/j.tsc.2024.101546

Olmo-García, F., Domínguez-Fabián, I., Crecente-Romero, F. J., & Val-Núñez, M. T. (2023). Determinant factors for the development of rural entrepreneurship. Technological Forecasting and Social Change, 191. https://doi.org/10.1016/j.techfore.2023.122487 DOI: https://doi.org/10.1016/j.techfore.2023.122487

Otto, S., Lavi, R., & Brogaard Bertel, L. (2025). Human-GenAI interaction for active learning in STEM education: State-of-the-art and future directions. Computers & Education, 239, 105444. https://doi.org/10.1016/j.compedu.2025.105444 DOI: https://doi.org/10.1016/j.compedu.2025.105444

Ou, Q., Liang, W., He, Z., Liu, X., Yang, R., & Wu, X. (2023). Investigation and analysis of the current situation of programming education in primary and secondary schools. Heliyon, 9(4). https://doi.org/10.1016/j.heliyon.2023.e15530 DOI: https://doi.org/10.1016/j.heliyon.2023.e15530

Pavleska, T., Masi, M., Sellitto, G. P., & Aranha, H. (2025). Architecture-based governance for secure-by-design Cooperative Intelligent Transport Systems. Vehicular Communications, 55. https://doi.org/10.1016/j.vehcom.2025.100967 DOI: https://doi.org/10.1016/j.vehcom.2025.100967

Pedro, Z. M., Alvarez-Montero, A., Casas, J. A., & Munoz, M. (2025). Active learning in environmental engineering: Combining interactive platforms and project-based approaches to boost engagement and academic performance. Education for Chemical Engineers, 53, 161–170. https://doi.org/10.1016/j.ece.2025.09.002 DOI: https://doi.org/10.1016/j.ece.2025.09.002

Pietrasik, M., Wilbik, A., & Grefen, P. (2024). The enabling technologies for digitalization in the chemical process industry. Digital Chemical Engineering, 12. https://doi.org/10.1016/j.dche.2024.100161 DOI: https://doi.org/10.1016/j.dche.2024.100161

Pili-Moss, D., Hamrick, P., Wendebourg, K., Schmidt, T., & Meurers, D. (2025). Implicit statistical learning and working memory predict EFL development and written task outcomes in adolescents. System, 131. https://doi.org/10.1016/j.system.2025.103656 DOI: https://doi.org/10.1016/j.system.2025.103656

Posso, A. (2025). Contextualizing child labor reforms: Education policy, legal bans, and female child labor in rural South India. Journal of Economic Behavior and Organization, 235. https://doi.org/10.1016/j.jebo.2025.107051 DOI: https://doi.org/10.1016/j.jebo.2025.107051

Rimlinger, J., Jaumouillé, A., Freissinet, C., Craveiro, J. L., Zózimo, A. C., Oliveira, M. M., Cruz, M. M., Bakogianni, E., Tzempelikos, D., Pavlidi, E., & Sfetsos, A. (2025). Shaping local disaster risk governance through multi-stakeholder collaboration: Insights from the public-private-civil partnership approach - Application to the case studies of the municipality of Egaleo (Greece) and Centro Region (Portugal. International Journal of Disaster Risk Reduction, 133. https://doi.org/10.1016/j.ijdrr.2025.105973 DOI: https://doi.org/10.2139/ssrn.5370063

Rossouw, M., & Steenkamp, G. (2024). Developing the critical thinking skills of first year accounting students with an active learning intervention. International Journal of Management Education, 23(1). https://doi.org/10.1016/j.ijme.2024.101086 DOI: https://doi.org/10.1016/j.ijme.2024.101086

Stein, L., Evers, N., & O’Gorman, C. (2025). Fostering conditions for digital entrepreneurship: The role of institutional entrepreneurs in driving FinTech ecosystem development. Technovation, 150. https://doi.org/10.1016/j.technovation.2025.103386 DOI: https://doi.org/10.1016/j.technovation.2025.103386

Taati Jeliseh, M., Pourhosein Gilakjani, A., & Xodabande, I. (2025). Comparing the impact of individual and collaborative games on young language learners’ spelling skills in English. Social Sciences and Humanities Open, 13. https://doi.org/10.1016/j.ssaho.2025.102390 DOI: https://doi.org/10.1016/j.ssaho.2025.102390

Thompson, S. E., Moore, C. E., Xie, Q., Ruscadella-Alvarez, J., McGrath, G., & Ruthrof, K. X. (2025). Ecohydrological adaptation: A research and management framework for ecosystems in Australia’s drying and warming climate. Journal of Hydrology, 663. https://doi.org/10.1016/j.jhydrol.2025.134210 DOI: https://doi.org/10.1016/j.jhydrol.2025.134210

Tomasso, L. P., Spengler, J. D., Catalano, P. J., Chen, J. T., & Laurent, J. G. C. (2023). In situ psycho-cognitive assessments support self-determined urban green exercise time. Urban Forestry and Urban Greening, 86. https://doi.org/10.1016/j.ufug.2023.128005 DOI: https://doi.org/10.1016/j.ufug.2023.128005

Wang, A. I., Schrøder, E. P., Hammersland, Ø., Rand, C. M., Østvik, S. K., Sivaranjan, A., Haltbakk, S. S., Elnan, S. G., & Stabell, V. V. (2025). Lessons learned from experiments with four pedal-based exergames. Entertainment Computing, 55. https://doi.org/10.1016/j.entcom.2025.101018 DOI: https://doi.org/10.1016/j.entcom.2025.101018

Wang, X., Husu, J., & Toom, A. (2026). Teacher educators’ mentoring competence—commonalities and distinctions in supporting learning to teach. Teaching and Teacher Education, 172. https://doi.org/10.1016/j.tate.2026.105408 DOI: https://doi.org/10.1016/j.tate.2026.105408

Wittmann, S., Wulf, T., & Wieser, K. (2026). Flipped learning in business and economics higher education: A systematic literature review. The International Journal of Management Education, 24(2), 101366. https://doi.org/10.1016/j.ijme.2026.101366 DOI: https://doi.org/10.1016/j.ijme.2026.101366

Yang, W., Li, H., & Lee, J. C. K. (2025). Tailoring AI agents for early learning: The Creative Project Approach. Computers and Education: Artificial Intelligence, 9. https://doi.org/10.1016/j.caeai.2025.100473 DOI: https://doi.org/10.1016/j.caeai.2025.100473

Zheng, X., Zeng, Z., Schooten, K. S., & Yang, Y. (2025). Machine Learning Approach for Frailty Detection in Long-Term Care Using Accelerometer-Measured Gait and Daily Physical Activity: Model Development and Validation Study. JMIR Aging, 8. https://doi.org/10.2196/77140 DOI: https://doi.org/10.2196/85173

Author Biographies

Reka Afrillia Zeni, Universitas Negeri Padang

Author Origin : Indonesia

Edwin Musdi, Universitas Negeri Padang

Author Origin : Indonesia

Laswadi, Universitas Negeri Padang

Author Origin : Indonesia

Eline Yanty Putri Nasution, IAIN Kerinci

Author Origin : Indonesia

Romi Kurniawan, Universitas Pattimura

Author Origin : Indonesia

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How to Cite

Zeni, R. A., Musdi, E., Laswadi, Nasution, E. Y. P., & Kurniawan, R. (2026). The Effect of Project Activity Cooperative Exercise (PACE) Learning Model on Students’ Mathematical Communication Skills in Science Integrated Mathematics Education . Jurnal Penelitian Pendidikan IPA, 12(2), 292–300. https://doi.org/10.29303/jppipa.v12i2.14450