Enhancing mathematical problem-solving ability through project-based learning: A study of vocational high school student

Authors

  • Mohamad Gilar Jatisunda Universitas Pendidikan Indonesia
  • Didi Suryadi Universitas Pendidikan Indonesia
  • Sufyani Prabawanto Universitas Pendidikan Indonesia

DOI:

https://doi.org/10.29408/jel.v10i3.26244

Keywords:

geometry learning, mathematics learning, project-based learning, problem-solving, vocational high school

Abstract

This study aims to improve the mathematical problem-solving ability of students at Vocational High School (VHS) through implementing Project Based Learning (PjBL). The research method used was a quasi-experiment with a matching-only pretest-posttest control group design, with a sample of 64 students divided into two classes, namely experimental and control classes, each consisting of 32 students. The sampling technique used was purposive sampling, where the sample was selected based on specific criteria relevant to the research objectives. Data were collected using tests of mathematical problem-solving ability administered before (pre-test) and after (post-test) the treatment. Data were analyzed using an independent sample t-test and a two-way ANOVA test with univariate general linear model (GLM) analysis. The results showed a difference between the experimental and control groups before the treatment. However, after the treatment, the experimental group had higher mathematical problem-solving ability than the control group, including the improvement and interaction between PjBL implementation and the Early Mathematics Skills (EMS) category.

Author Biographies

Mohamad Gilar Jatisunda, Universitas Pendidikan Indonesia

Department of Mathematics Education

Didi Suryadi, Universitas Pendidikan Indonesia

Department of Mathematics Education

Sufyani Prabawanto, Universitas Pendidikan Indonesia

Department of Mathematics Education

References

Bakker, A., Groenveld, D., Wijers, M., Akkerman, S. F., & Gravemeijer, K. P. E. (2014). Proportional reasoning in the laboratory: An intervention study in vocational education. Educational Studies in Mathematics, 86(2), 211–221. https://doi.org/10.1007/s10649-012-9393-y

Barak, M. H., & Shoshana, A. (2020). Separatist biopolitics: the dual discourse of the vocational education policy in Israel. Journal of Vocational Education & Training, 72(2), 297–314. https://doi.org/10.1080/13636820.2020.1721734

Billett, S. (2013). Learning through practice: beyond informal and towards a framework for learning through practice. Revisiting Global Trends in TVET: Reflections on Theory and Practice, 123–163. http://www.dcdualvet.org/wp-content/uploads/2013_UNESCO-UNEVOC_Revisiting-global-trends-in-TVET.pdf#page=129

Bishara, S. (2016). Creativity in unique problem-solving in mathematics and its influence on motivation for learning. Cogent Education, 3(1), 1202604. https://doi.org/10.1080/2331186X.2016.1202604

Branch, L. J. (2015). The impact of project-based learning and technology on student achievement in mathematics. In New media, knowledge practices and multiliteracies (pp. 259–268). Springer. https://doi.org/10.1007/978-981-287-209-8_24

Cai, J., & Hwang, S. (2020). Learning to teach through mathematical problem posing: Theoretical considerations, methodology, and directions for future research. International Journal of Educational Research, 102, 101391. https://doi.org/10.1016/j.ijer.2019.01.001

Campbell, D. T., & Stanley, J. C. (2015). Experimental and quasi-experimental designs for research. Ravenio Books. http://davidpassmore.net/courses/data/_book/Camp_and_Stanley.pdf

Capraro, R. M., & Slough, S. W. (2013). Why PBL? Why STEM? Why now? An introduction to STEM project-based learning: An integrated science, technology, engineering, and mathematics (STEM) approach. In STEM project-based learning (pp. 1–5). Brill Sense. http://www.academia.edu/download/37030650/a1stem-project-based-learning.pdf

Carson, J. (2007). A problem with problem solving: Teaching thinking without teaching knowledge. The Mathematics Educator, 17(2). https://ojs01.galib.uga.edu/tme/article/download/1912/1817

Cesaria, A., & Herman, T. (2019). Learning obstacle in geometry. Journal of Engineering Science and Technology, 14(3), 1271–1280.

Chang, C.-Y. (2010). Does problem solving= prior knowledge+ reasoning skills in earth science? An exploratory study. Research in Science Education, 40(2), 103–116. https://doi.org/10.1007/s11165-008-9102-0

Chiang, C.-L., & Lee, H. (2016a). The effect of project-based learning on learning motivation and problem-solving ability of vocational high school students. International Journal of Information and Education Technology, 6(9), 709–712. https://doi.org/10.7763/IJIET.2016.V6.779

Chiang, C.-L., & Lee, H. (2016b). The effect of project-based learning on learning motivation and problem-solving ability of vocational high school students. International Journal of Information and Education Technology, 6(9), 709–712. https://doi.org/10.7763/IJIET.2016.V6.779

Couto, A., & Vale, I. (2013). Preservice teachers’ knowledge on elementary geometry concepts. http://hdl.handle.net/10400.22/12510

Craft, A. M., & Capraro, R. M. (2017). Science, technology, engineering, and mathematics project-based learning: Merging rigor and relevance to increase student engagement. Electronic International Journal of Education, Arts, and Science (EIJEAS), 3(6).

Dalby, D., & Noyes, A. (2015). Connecting Mathematics Teaching with Vocational Learning. Adults Learning Mathematics, 10(1), 40–49. https://eric.ed.gov/?id=EJ1077715

Darmuki, A., Nugrahani, F., Fathurohman, I., Kanzunnudin, M., & Hidayati, N. A. (2023). The impact of inquiry collaboration project based learning model of Indonesian language course achievement. International Journal of Instruction, 16(2), 247–266.

Dias, A. L. B. (2015). The role of mathematics in vocational education curricula: a comparative study. XIV Conferencia Interamericana de Educación Matemática.

Dochy, F., Moerkerke, G., & Segers, M. (1999). The effect of prior knowledge on learning in educational practice: Studies using prior knowledge state assessment. Evaluation & Research in Education, 13(3), 114–131. https://doi.org/10.1080/09500799908666952

Doli, W., & Armiati, A. (2020). Development of Mathematics Learning Tools Based on Realistic Mathematics Education for Vocational High School Students. Journal of Physics: Conference Series, 1554, 12021. https://doi.org/10.1088/1742-6596/1554/1/012021

Duatepe-Paksu, A., & Ubuz, B. (2009). Effects of drama-based geometry instruction on student achievement, attitudes, and thinking levels. The Journal of Educational Research, 102(4), 272–286. https://doi.org/10.3200/JOER.102.4.272-286

Effendi, M. (2014). Alternatif model organisasi kurikulum matematika SMK [Alternative model of vocational school mathematics curriculum organization]. Jurnal HIPKIN: Inovasi Kurikulum, ISSN, 6750, 123–135.

Fabiyi, T. R. (2017). Geometry concepts in mathematics perceived difficult to learn by senior secondary school students in Ekiti State Nigeria. IOSR Journal of Research & Method in Education (IOS-JRME), 7, 83. https://doi.org/10.9790/7388-0701018390

Fajra, M., & Novalinda, R. (2020). Project based learning: innovation to improve the suitability of productive competencies in vocational high schools with the needs of the world of work. International Journal of Multi Science, 1(08), 1–11. https://multisciencejournal.com/index.php/ijm/article/download/83/65

Fitzmaurice, O., Walsh, R., & Burke, K. (2019). The ‘Mathematics Problem’ and preservice post primary mathematics teachers–analysing 17 years of diagnostic test data. International Journal of Mathematical Education in Science and Technology, 1–23. https://doi.org/10.1080/0020739X.2019.1682700

Fraenkel, J. R., Wallen, N. E., & Hyun, H. H. (2011). How to design and evaluate research in education. New York: McGraw-Hill Humanities/Social Sciences/Languages. https://pdfs.semanticscholar.org/60b6/99eda714ac21599455741fb499dd4e68f615.pdf

Frejd, P., & Muhrman, K. (2020). Is the mathematics classroom a suitable learning space for making workplace mathematics visible?–An analysis of a subject integrated team-teaching approach applied in different learning spaces. Journal of Vocational Education & Training, 1–19. https://doi.org/10.1080/13636820.2020.1760337

Frey, R. F., Brame, C. J., Fink, A., & Lemons, P. P. (2022). Teaching Discipline-Based Problem Solving. CBE—Life Sciences Education, 21(2), fe1. https://doi.org/10.1187/cbe.22-02-0030

Gill, O., O’Donoghue, J., Faulkner, F., & Hannigan, A. (2010). Trends in performance of science and technology students (1997–2008) in Ireland. International Journal of Mathematical Education in Science and Technology, 41(3), 323–339. https://doi.org/10.1080/00207390903477426

Greenier, V. T. (2020). The 10Cs of project-based learning TESOL curriculum. Innovation in Language Learning and Teaching, 14(1), 27–36. https://doi.org/10.1080/17501229.2018.1473405

Guo, P., Saab, N., Post, L. S., & Admiraal, W. (2020). A review of project-based learning in higher education: Student outcomes and measures. International Journal of Educational Research, 102, 101586. https://doi.org/10.1016/j.ijer.2020.101586

Gutiérrez, A., Jaime, A., & Fortuny, J. M. (1991). An alternative paradigm to evaluate the acquisition of the van Hiele levels. Journal for Research in Mathematics Education, 22(3), 237–251. https://doi.org/doi.org/10.5951/jresematheduc.22.3.0237

Han, S., Rosli, R., Capraro, M. M., & Capraro, R. M. (2016). The effect of science, technology, engineering and mathematics (stem) project based learning (pbl) on students’ achievement in four mathematics topics. Journal of Turkish Science Education (TUSED), 13. https://www.academia.edu/download/49266051/tusedv13s2a1.pdf

Holmes, J., & Adams, J. W. (2006). Working memory and children’s mathematical skills: Implications for mathematical development and mathematics curricula. Educational Psychology, 26(3), 339–366. https://doi.org/10.1080/01443410500341056

Holmes, V.-L., & Hwang, Y. (2016). Exploring the effects of project-based learning in secondary mathematics education. The Journal of Educational Research, 109(5), 449–463. https://doi.org/10.1080/00220671.2014.979911

Jones, K. (2002). Issues in the teaching and learning of geometry.

King, B., & Smith, C. (2020). Using project-based learning to develop teachers for leadership. The Clearing House: A Journal of Educational Strategies, Issues and Ideas, 93(3), 158–164. https://doi.org/10.1080/00098655.2020.1735289

Kokotsaki, D., Menzies, V., & Wiggins, A. (2016). Project-based learning: A review of the literature. Improving Schools, 19(3), 267–277. https://doi.org/10.1177/1365480216659733

Krajcik, J. S., & Blumenfeld, P. C. (2006). Project-based learning. https://www.academia.edu/download/54752645/PBL_Article.pdf

Kurniawan, R., & Managi, S. (2018). Economic growth and sustainable development in Indonesia: an assessment. Bulletin of Indonesian Economic Studies, 54(3), 339–361. https://doi.org/10.1080/00074918.2018.1450962

Kzkapan, O., & Bektaş, O. (2017). The effect of project based learning on seventh grade students’ academic achievement. Internasional Journal of Instruction, 10(1), 37-54 https://doi.org/10.12973/iji.2017.1013a

Lima, R. M., Dinis-Carvalho, J., Sousa, R. M., Alves, A. C., Moreira, F., Fernandes, S., & Mesquita, D. (2017). Ten years of project-based learning (PBL) in industrial engineering and management at the University of Minho. In PBL in Engineering Education (pp. 33–51). Brill Sense. https://brill.com/view/book/edcoll/9789463009058/BP000004.xml

MacLeod, M., & van der Veen, J. T. (2020). Scaffolding interdisciplinary project-based learning: a case study. European Journal of Engineering Education, 45(3), 363–377. https://doi.org/10.1080/03043797.2019.1646210

Mammarella, I. C., Giofrè, D., Ferrara, R., & Cornoldi, C. (2013). Intuitive geometry and visuospatial working memory in children showing symptoms of nonverbal learning disabilities. Child Neuropsychology, 19(3), 235–249. https://doi.org/10.1080/09297049.2011.640931

Marchis, I. (2012). Preservice Primary School Teachers’ Elementary Geometry Knowledge. Acta Didactica Napocensia, 5(2), 33–40.

Mettas, A. C., & Constantinou, C. C. (2008). The technology fair: A project-based learning approach for enhancing problem solving skills and interest in design and technology education. International Journal of Technology and Design Education, 18(1), 79–100. https://doi.org/10.1007/s10798-006-9011-3

Muslim, S. R. (2017). Pengaruh penggunaan model project based learning terhadap kemampuan pemecahan masalah matematik peserta didik SMA [The effect of using the project based learning model on the mathematical problem solving ability of high school students]. SJME (Supremum Journal of Mathematics Education), 1(2), 88–95. https://doi.org/10.35706/sjme.v1i2.756

Myers, N. C. (1991). Writing and speaking to learn geometry. Problems, Resources, and Issues in Mathematics Undergraduate Studies, 1(3), 287–294.

NCTM. (2000). Principles and standarts for school mathematics NCTM.

Nilsook, P., Chatwattana, P., & Seechaliao, T. (2021). The project-based learning management process for vocational and technical education. Higher Education Studies, 11(2), 20–29. https://doi.org/10.5539/hes.v11n2p20

Niss, M. (1994). Mathematics in society. Didactics of Mathematics as a Scientific Discipline, 13, 367–378. http://www.academia.edu/download/5910014/biehler_r.__ed.___scholz_r.w.__ed.___strasser_r.__ed.__-_didactics_of_mathematics_as_a_scientific_discipline_2002__467_.pdf#page=378

Niss, M. (2003). Mathematical competencies and the learning of mathematics: The Danish KOM project. 3rd Mediterranean Conference on Mathematical Education, 115–124. http://www.academia.edu/download/55112695/KOMkompetenser.pdf

Nurfitriyanti, M. (2016). Model pembelajaran project based learning terhadap kemampuan pemecahan masalah matematika [Project based learning model for mathematical problem solving abilities]. Formatif: Jurnal Ilmiah Pendidikan MIPA, 6(2), 149-160. https://doi.org/10.30998/formatif.v6i2.950

Oksuz, C. (2009). Association of domain-specific knowledge and analytical ability with insight problem solving in mathematics. International Journal of Pedagogies and Learning, 5(1), 138–153. https://doi.org/10.5172/ijpl.5.1.138

Özcan, Z. Ç. (2016). The relationship between mathematical problem-solving skills and self-regulated learning through homework behaviours, motivation, and metacognition. International Journal of Mathematical Education in Science and Technology, 47(3), 408–420. https://doi.org/10.1080/0020739X.2015.1080313

Özerem, A. (2012). Misconceptions in geometry and suggested solutions for seventh grade students. Procedia-Social and Behavioral Sciences, 55, 720–729. https://doi.org/10.1016/j.sbspro.2012.09.557

Page, S., & Clark, J. (2010). Experiences of learning and teaching mathematics: using activity theory to understand tensions in practice. Mathematics Education Research Group of Australasia.

Pehkonen, E. (1993). What are Finnish teacher educators’ conceptions about the teaching of problem solving in mathematics? European Journal of Teacher Education, 16(3), 237–256. https://doi.org/10.1080/0261976930160306

Petrosino, A. J. (2004). Integrating curriculum, instruction, and assessment in project-based instruction: A case study of an experienced teacher. Journal of Science Education and Technology, 13(4), 447–460. https://doi.org/10.1007/s10956-004-1466-y

Phumeechanya, N., & Wannapiroon, P. (2014). Design of problem-based with scaffolding learning activities in ubiquitous learning environment to develop problem-solving skills. Procedia-Social and Behavioral Sciences, 116, 4803–4808. https://doi.org/10.1016/j.sbspro.2014.01.1028

Pinho-Lopes, M., & Macedo, J. (2016). Project-based learning in geotechnics: Cooperative versus collaborative teamwork. European Journal of Engineering Education, 41(1), 70–90. https://doi.org/10.1080/03043797.2015.1056099

Placklé, I., Könings, K. D., Struyven, K., Libotton, A., van Merriënboer, J. J. G., & Engels, N. (2020). Powerful learning environments in secondary vocational education: towards a shared understanding. European Journal of Teacher Education, 43(2), 224–242. https://doi.org/10.1080/02619768.2019.1681965

Puspendik. (2018). Hasil TIMSS 2018 diagnosa hasil untuk perbaikan mutu dan peningkatan capaian. [TIMSS 2018 results diagnose results for improving quality and increasing achievement].

Quezada, V. D. (2020). Difficulties and Performance in Mathematics Competences: Solving Problems with Derivatives. J. Eng. Pedagogy, 10(4), 35–53.

Rosales, J. J., & Sulaiman, F. (2016). Students’ sense making and effort toward projectbased learning in learning physics. International Journal of Education and Research, 4(9), 29–40. https://ijern.com/journal/2016/September-2016/03.pdf

Sakulviriyakitkul, P., Sintanakul, K., & Srisomphan, J. (2020). The design of a learning process for promoting teamwork using project-based learning and the concept of agile software development. International Journal of Emerging Technologies in Learning (IJET), 15(3), 207–222. https://doi.org/10.3991/ijet.v15i03.10480

Santagata, R., & Lee, J. (2019). Mathematical knowledge for teaching and the mathematical quality of instruction: a study of novice elementary school teachers. Journal of Mathematics Teacher Education, 1–28. https://doi.org/10.1007/s10857-019-09447-y

Santos, L. B., Xavier, P. H. F., Santos, J. V. C., & Sampaio, R. R. (2020). Teaching of Ordinary Differential Equations Using the Assumptions of the PBL Method. Int. J. Eng. Pedagog., 10(3), 7–20. https://doi.org/10.3991/ijep.v10i3.12015

Santyasa, I. W., Rapi, N. K., & Sara, I. (2020). Project based learning and academic procrastination of students in learning physics. International Journal of Instruction, 13(1), 489–508. https://doi.org/10.29333/iji.2020.13132a

Saputro, A. D., Rohaeti, E., Prodjosantoso, A. K., & others. (2018). Promoting critical thinking and problem solving skills of Preservice elementary teachers through process-oriented guided-inquiry learning (POGIL). International Journal of Instruction, 11(4), 777–794.

Sari, N. M., Yaniawati, P., Kartasasmita, B. G., & others. (2019). The Effect of Different Ways in Presenting Teaching Materials on Students’ Mathematical Problem Solving Abilities. International Journal of Instruction, 12(4), 495–512. https://doi.org/10.29333/iji.2019.12432a

Setyaningtyas, H., & Rusnilawati, M. P. (2019). Analisis kesulitan belajar siswa kelas v pada materi bangun ruang dan alternatif pemecahannya berdasarkan teori Van Hiele di SD Negeri 1 Gatak Delanggu.[ Analysis of class V students' learning difficulties in building space material and alternative solutions based on Van Hiele Theory at SD Negeri 1 Gatak Delanggu]. Universitas Muhammadiyah Surakarta.

Setyarini, T., Mustaji, M., & Jannah, M. (2020). The effect of project-based learning assisted pangtus on creative thinking ability in higher education. International Journal of Emerging Technologies in Learning (IJET), 15(11), 245–251. https://doi.org/10.3991/ijet.v15i11.12717

Shabrina, & Kuswanto, H. (2018). Android-assisted mobile physics learning through Indonesian batik culture: Improving students’ creative thinking and problem solving. International Journal of Instruction, 11(4), 287–302.

Smith, S. (1986). Problem solving in mathematics. Early Years, 6(2), 15–24. https://doi.org/10.1080/0957514860060203

Sonnert, G., Sadler, P. M., Sadler, S. M., & Bressoud, D. M. (2015). The impact of instructor pedagogy on college calculus students’ attitude toward mathematics. International Journal of Mathematical Education in Science and Technology, 46(3), 370–387. https://doi.org/10.1080/0020739X.2014.979898

Star, J. R., Rittle-Johnson, B., Lynch, K., & Perova, N. (2009). The role of prior knowledge in the development of strategy flexibility: The case of computational estimation. ZDM, 41(5), 569–579. https://doi.org/10.1007/s11858-009-0181-9

Sudjimat, D. A., Nyoto, A., & Romlie, M. (2021). Implementation of project-based learning model and workforce character development for the 21st century in vocational high school. International Journal of Instruction, 14(1), 181–198. https://doi.org/10.29333/iji.2021.14111a

Sumarmo, U. (2010). Berpikir dan disposisi matematik: Apa, mengapa, dan bagaimana dikembangkan pada peserta didik.[ Mathematical thinking and disposition: What, why, and how are developed in students]. FPMIPA UPI.

Sunzuma, G., & Maharaj, A. (2020). In-service Zimbabwean teachers’ obstacles in integrating ethnomathematics approaches into the teaching and learning of geometry. Journal of Curriculum Studies, 1–20. https://doi.org/10.1080/00220272.2020.1825820

Susanta, A., Susanto, E., & Rusdi. (2020). Efektivitas project based learning terhadap kemampuan pemecahan masalah dan berpikir kritis mahasiswa. [The effectiveness of project based learning on students' problem solving and critical thinking abilities]. Jurnal Theorems, 5(1), 61–68.

Sweller, J., Kirschner, P. A., & Clark, R. E. (2007). Why minimally guided teaching techniques do not work: A reply to commentaries. Educational Psychologist, 42(2), 115–121. https://doi.org/10.1080/00461520701263426

Tan, C.-S., Tan, S.-A., Hashim, I. H. M., Lee, M.-N., Ong, A. W.-H., & nor Binti Yaacob, S. (2019). Problem-solving ability and stress mediate the relationship between creativity and happiness. Creativity Research Journal, 31(1), 15–25. https://doi.org/10.1080/10400419.2019.1568155

Tan, T. H., Tarmizi, R. A., Yunus, A. S. M., & Ayub, A. F. M. (2015). Understanding the primary school students’ van Hiele levels of geometry thinking in learning shapes and spaces: A Q-methodology. Eurasia Journal of Mathematics, Science and Technology Education, 11(4), 793–802. https://doi.org/10.12973/eurasia.2015.1439a

Tsybulsky, D., Gatenio-Kalush, M., Ganem, M. A., & Grobgeld, E. (2020). Experiences of preservice teachers exposed to project-based learning. European Journal of Teacher Education, 1–16. https://doi.org/10.1080/02619768.2019.1711052

Ubuz, B., & Aydnyer, Y. (2019). Project-based geometry learning: Knowledge and attitude of field-dependent/independent cognitive style students. The Journal of Educational Research, 112(3), 285–300. https://doi.org/10.1080/00220671.2018.1502138

Ummah, I. K., Yuliati, N., & others. (2020). The effect of jumping task based on creative problem solving on students’ problem solving ability. International Journal of Instruction, 13(1), 387–406.

Vye, N. J., Goldman, S. R., Voss, J. F., Hmelo, C., & Williams, S. (1997). Complex mathematical problem solving by individuals and dyads. Cognition and Instruction, 15(4), 435–484. https://doi.org/10.1207/s1532690xci1504_1

Wang, L., Zeng, J., Ran, X., Cui, Z., & Zhou, X. (2022). Different cognitive mechanisms for process-open and process-constrained problem solving. ZDM–Mathematics Education, 1–13. https://doi.org/10.1007/s11858-022-01373-3

Wilburne, J. M., & Dause, E. (2017). Teaching self-regulated learning strategies to low-achieving fourth-grade students to enhance their perseverance in mathematical problem solving. Investigations in Mathematics Learning, 9(1), 38–52. https://doi.org/10.1080/19477503.2016.1245036

Williams, K. L. (2020). Contextualizing math-related strengths and math achievement: Positive math orientations, social supports and the moderating effects of prior math knowledge. Journal for STEM Education Research, 3(3), 317–342. https://doi.org/10.1007/s41979-021-00051-5

Wong, P. (1992). Metacognition in mathematical problem solving. https://doi.org/10.1080/02188799208547691

Yapatang, L., & Polyiem, T. (2022). Development of the mathematical problem-solving ability using applied cooperative learning and Polya’s problem-solving process for grade 9 students. Journal of Education and Learning, 11(3), 40–46. https://doi.org/10.5539/jel.v11n3p40

Zarouk, M., Olivera, E., Peres, P., & Khaldi, M. (2020). The impact of flipped project-based learning on self-regulation in higher education. International Journal of Emerging Technologies in Learning (IJET), 15(17), 127–147. https://doi.org/10.3991/ijet.v15i17.14135

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05-10-2024

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Jatisunda, M. G., Suryadi, D., & Prabawanto, S. (2024). Enhancing mathematical problem-solving ability through project-based learning: A study of vocational high school student. Jurnal Elemen, 10(3), 711–727. https://doi.org/10.29408/jel.v10i3.26244

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