ECIRR Model with QSH Strategy and Environmental Literacy: Evaluation of Mathematical Problem-Solving Abilities

Main Article Content

Dwika Rahmi Hidayanti Kana Hidayati Siti Nurfajriah

Abstract

This study aimed to determine the effect of the ECIRR (Elicit, Confront, Identify, Resolve, and Reinforce) learning model with the QSH (Question Student Have) strategy on mathematical problem-solving abilities in terms of students' environmental literacy. This type of research was quasi-experimental with a 2×3 factorial design. The data collection techniques were problem-solving tests and environmental literacy questionnaires. The data analysis techniques employed were normality test, homogeneity test, and two-way ANOVA test. Based on the results of the study, it was concluded that the ECIRR learning model with the QSH strategy had an effect on students' mathematical problem-solving abilities. There was no influence of environmental literacy on students' mathematical problem-solving abilities. There was no interaction between the treatment of the ECIRR learning model with the QSH strategy with the environmental literacy category on students' mathematical problem-solving abilities.

Article Details

How to Cite
[1]
D. Hidayanti, K. Hidayati, and S. Nurfajriah, “ECIRR Model with QSH Strategy and Environmental Literacy: Evaluation of Mathematical Problem-Solving Abilities”, International Journal of Mathematics and Science Education Research, vol. 1, no. 1, pp. 25-38,  .
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References

[1]       O. Erol and N. S. Çırak, ‘The effect of a programming tool scratch on the problem-solving skills of middle school students’, Educ. Inf. Technol., vol. 27, no. 3, pp. 4065–4086, 2022. https://doi.org/10.1007/s10639-021-10776-w


[2]       E. Van Laar, A. J. Van Deursen, J. A. Van Dijk, and J. De Haan, ‘The relation between 21st-century skills and digital skills: A systematic literature review’, Comput. Hum. Behav., vol. 72, pp. 577–588, 2017. https://doi.org/10.1016/j.chb.2017.03.010


[3]       T. Tang, V. Vezzani, and V. Eriksson, ‘Developing critical thinking, collective creativity skills and problem solving through playful design jams’, Think. Ski. Creat., vol. 37, p. 100696, 2020. https://doi.org/10.1016/j.tsc.2020.100696


[4]       N. H. Astuti, A. Rusilowati, and B. Subali, ‘STEM-based learning analysis to improve students’ problem solving abilities in science subject: A literature review’, J. Innov. Sci. Educ., vol. 10, no. 1, pp. 79–86, 2021. https://doi.org/10.15294/jise.v9i2.38505


[5]       K. Stacey, ‘The place of problem solving in contemporary mathematics curriculum documents’, J. Math. Behav., vol. 24, no. 3–4, pp. 341–350, 2005. https://doi.org/10.1016/j.jmathb.2005.09.004


[6]       J. Suratno and I. K. Waliyanti, ‘Integration of GeoGebra in Problem-Based Learning to Improve Students’ Problem-Solving Skills’, Int. J. Res. Math. Educ., vol. 1, no. 1, pp. 63–75, 2023. https://doi.org/10.24090/ijrme.v1i1.8514


[7]       E. A. Purnomo, Y. L. Sukestiyarno, I. Junaedi, and A. Agoestanto, ‘Analysis of Problem Solving Process on HOTS Test for Integral Calculus.’, Math. Teach. Res. J., vol. 14, no. 1, pp. 199–214, 2022.


[8]       G. Polya, How to solve it: A new aspect of mathematical method, vol. 85. Princeton university press, 2014. https://doi.org/10.2307/j.ctvc773pk


[9]       S. Huda, S. Suherman, K. Komarudin, M. Syazali, and R. Umam, ‘The effectiveness of al-qurun teaching model (ATM) viewed from gender differences: The impact on mathematical problem-solving ability’, in Journal of Physics: Conference Series, IOP Publishing, 2020, p. 012001. https://doi.org/10.1088/1742-6596/1467/1/012001


[10]     E. Ahdhianto, ‘The effect of metacognitive-based contextual learning model on fifth-grade students’ problem-solving and mathematical communication skills’, Eur. J. Educ. Res., vol. 9, no. 2, pp. 753–764, 2020, https://doi.org/10.12973/eu-jer.9.2.753


[11]     L. Verschaffel, S. Schukajlow, J. Star, and W. Van Dooren, ‘Word problems in mathematics education: A survey’, ZDM, vol. 52, pp. 1–16, 2020. https://doi.org/10.1007/s11858-020-01130-4


[12]     M. Karyotaki and A. Drigas, ‘Latest trends in problem solving assessment’, Int. J. Recent Contrib. Eng. Sci. IT IJES, vol. 4, no. 2, pp. 4–10, 2016. https://doi.org/10.3991/ijes.v4i2.5800


[13]     P. R. Laughlin, Group problem solving. Princeton University Press, 2011. https://doi.org/10.23943/princeton/9780691147918.003.0003


[14]     D. A. Kolb, R. E. Boyatzis, and C. Mainemelis, ‘Experiential learning theory: Previous research and new directions’, in Perspectives on thinking, learning, and cognitive styles, Routledge, 2014, pp. 227–247. https://doi.org/10.4324/9781410605986-9


[15]     R. Fauziah, R. Maya, and A. Y. Fitrianna, ‘Hubungan Self Confidence Terhadap Kemampuan Pemecahan Masalah Matematis Siswa Smp’, JPMI J. Pembelajaran Mat. Inov., vol. 1, no. 5, p. 881, 2018. https://doi.org/10.22460/jpmi.v1i5.p881-886


[16]     H. Basri, ‘Investigating critical thinking skill of junior high school in solving mathematical problem’, Int. J. Instr., vol. 12, no. 3, pp. 745–758, 2019, https://doi.org/10.29333/iji.2019.12345a


[17]     S. I. Edo, R. I. I. Putri, and Y. Hartono, ‘Investigating secondary school students’ difficulties in modeling problems PISA-Model Level 5 and 6’, J. Math. Educ., vol. 4, no. 1, pp. 41–58, 2013. https://doi.org/10.22342/jme.4.1.561.41-58


[18]     M. Lutfianto, Z. Zulkardi, and Y. Hartono, ‘Unfinished student answer in PISA mathematics contextual problem’, J. Math. Educ., vol. 4, no. 2, pp. 188–193, 2013. https://doi.org/10.22342/jme.4.2.552.188-193


[19]     A. Suyitno and H. Suyitno, ‘Learning therapy for students in mathematics communication correctly based-on application of newman procedure (a case of indonesian student)’, Int. J. Educ. Res., vol. 3, no. 1, pp. 529–538, 2015.


[20]     M. Suryani, L. H. Jufri, and T. A. Putri, ‘Analisis kemampuan pemecahan masalah siswa berdasarkan kemampuan awal matematika’, Mosharafa J. Pendidik. Mat., vol. 9, no. 1, pp. 119–130, 2020. https://doi.org/10.31980/mosharafa.v9i1.605


[21]     P. Phonapichat, S. Wongwanich, and S. Sujiva, ‘An analysis of elementary school students’ difficulties in mathematical problem solving’, Procedia-Soc. Behav. Sci., vol. 116, pp. 3169–3174, 2014. https://doi.org/10.1016/j.sbspro.2014.01.728


[22]     E. Yayuk and A. R. As’ ari, ‘Primary School Students’ Creative Thinking Skills in Mathematics Problem Solving.’, Eur. J. Educ. Res., vol. 9, no. 3, pp. 1281–1295, 2020. https://doi.org/10.12973/eu-jer.9.3.1281


[23]     W.-Y. Hwang, N.-S. Chen, J.-J. Dung, and Y.-L. Yang, ‘Multiple representation skills and creativity effects on mathematical problem solving using a multimedia whiteboard system’, J. Educ. Technol. Soc., vol. 10, no. 2, pp. 191–212, 2007.


[24]     D. S. Nusantara, Z. Zulkardi, and R. I. I. Putri, ‘Designing PISA-like mathematics problem relating change and relationship using physical distancing context’, in Journal of Physics: Conference Series, IOP Publishing, 2020, p. 012004. https://doi.org/10.1088/1742-6596/1663/1/012004


[25]     B. B. McBride, C. A. Brewer, A. R. Berkowitz, and W. T. Borrie, ‘Environmental literacy, ecological literacy, ecoliteracy: What do we mean and how did we get here?’, Ecosphere, vol. 4, no. 5, pp. 1–20, 2013. https://doi.org/10.1890/ES13-00075.1


[26]     F.-Y. Yeh, N.-H. Tran, S. H. Hung, and C.-F. Huang, ‘A study of environmental literacy, scientific performance, and environmental problem-solving’, Int. J. Sci. Math. Educ., pp. 1–23, 2021.


[27]     I. Tessnow-von Wysocki and P. Le Billon, ‘Plastics at sea: Treaty design for a global solution to marine plastic pollution’, Environ. Sci. Policy, vol. 100, pp. 94–104, 2019. https://doi.org/10.1016/j.envsci.2019.06.005


[28]     J. Musić, S. Kružić, I. Stančić, and F. Alexandrou, ‘Detecting underwater sea litter using deep neural networks: an initial study’, in 2020 5th International Conference on Smart and Sustainable Technologies (SpliTech), IEEE, 2020, pp. 1–6. https://doi.org/10.23919/SpliTech49282.2020.9243709


[29]     E. Kosior and I. Crescenzi, ‘Solutions to the plastic waste problem on land and in the oceans’, in Plastic waste and recycling, Elsevier, 2020, pp. 415–446. https://doi.org/10.1016/B978-0-12-817880-5.00016-5


[30]     K. A. Alnahdi, L. W. Alali, M. K. Suwaidan, and M. K. Akhtar, ‘Engineering a microbiosphere to clean up the ocean–inspiration from the plastisphere’, Front. Mar. Sci., vol. 10, p. 1017378, 2023. https://doi.org/10.3389/fmars.2023.1017378


[31]     S. Klein, S. Watted, and M. Zion, ‘Contribution of an intergenerational sustainability leadership project to the development of students’ environmental literacy’, Environ. Educ. Res., vol. 27, no. 12, pp. 1723–1758, 2021. https://doi.org/10.1080/13504622.2021.1968348


[32]     P. Agus, A. Nur, H. Syamsul, and A. Nita, ‘The effects of the ECIRR learning model on mathematical reasoning ability in the curriculum perspective 2013: Integration on student learning motivation’, Eur. J. Educ. Res., vol. 9, no. 2, pp. 675–684, 2020. https://doi.org/10.12973/eu-jer.9.2.675


[33]     A. M. A. Ningrum and S. Suliyanah, ‘Model Pembelajaran ECIRR (Elicit-Confront-Identify-Resolve-Reinforce) Untuk Meningkatkan Hasil Belajar Pada Materi Gerak Lurus’, PENDIPA J. Sci. Educ., vol. 5, no. 3, pp. 444–450, 2021. https://doi.org/10.33369/pendipa.5.3.444-450


[34]     S. Rohmah, A. Qurtubi, A. A. Azis, J. Jumadi, and Y. Boari, ‘The Effect Of The Ecirr Learning Model On Students’ Critical Thinking Ability In Class Learning Activities’, Mudir J. Manaj. Pendidik., vol. 5, no. 1, pp. 136–141, 2023.


[35]     H. Vianata, ‘Pengaruh Model Pembelajaran Question Student Have Terhadap Hasil Belajar IPS Sejarah Siswa’, Indones. J. Hist. Educ., vol. 1, no. 1, 2012.


[36]     N. L. Khasanah, S. M. E. Susilowati, and E. Rudyatmi, ‘Efektivitas Strategi Question Student Have dan Media Powerpoint pada Materi Struktur dan Fungsi Jaringan Tumbuhan’, J. Biol. Educ., vol. 2, no. 1, 2013.


[37]     I. Maryono, Y. S. Kusumah, J. A. Dahlan, N. Sobarningsih, and N. Naviatusiva, ‘Achievement of mathematical proof comprehension ability through question student have strategy in online learning’, in AIP Conference Proceedings, AIP Publishing, 2023. https://doi.org/10.1063/5.0135682


[38]     H. Chairunnisa and Z. Zulfiani, ‘Analysis of students’ question types in biology learning using problem based learning integrated with ‘questions-students-have’strategy’, JPBIO J. Pendidik. Biol., vol. 6, no. 2, pp. 153–165, 2021. https://doi.org/10.31932/jpbio.v6i2.1121


[39]     P. Liljedahl, M. Santos-Trigo, U. Malaspina, and R. Bruder, Problem solving in mathematics education. Springer Nature, 2016. https://doi.org/10.1007/978-3-319-40730-2


[40]     N. Ratnaningsih, E. Hidayat, and S. Santika, ‘Mathematical problem-solving skills of students based on the Kolb learning style through creative problem-solving learning’, Int. J. Innov. Creat. Change, vol. 9, no. 1, pp. 177–186, 2019.


[41]     N. Shin, D. H. Jonassen, and S. McGee, ‘Predictors of well‐structured and ill‐structured problem solving in an astronomy simulation’, J. Res. Sci. Teach., vol. 40, no. 1, pp. 6–33, 2003. https://doi.org/10.1002/tea.10058


[42]     A. M. Gallagher, R. De Lisi, P. C. Holst, A. V. McGillicuddy-De Lisi, M. Morely, and C. Cahalan, ‘Gender differences in advanced mathematical problem solving’, J. Exp. Child Psychol., vol. 75, no. 3, pp. 165–190, 2000. https://doi.org/10.1006/jecp.1999.2532


[43]     G. Polya, ‘How to solve it’, M Uchpedgiz, 1961.


[44]     G. Polya, How to solve it: A new aspect of mathematical method, no. 246. Princeton university press, 2004.


[45]     A. H. Schoenfeld, ‘Making sense of “out loud” problem-solving protocols’, J. Math. Behav., vol. 4, no. 2, pp. 171–191, 1985.


[46]     A. Azmidar, D. Darhim, and J. A. Dahlan, ‘Enhancing students’ interest through mathematics learning’, in Journal of Physics: Conference Series, IOP Publishing, 2017, p. 012072. https://doi.org/10.1088/1742-6596/895/1/012072


[47]     P. Intaros, M. Inprasitha, and N. Srisawadi, ‘Students’ problem solving strategies in problem solving-mathematics classroom’, Procedia-Soc. Behav. Sci., vol. 116, pp. 4119–4123, 2014. https://doi.org/10.1016/j.sbspro.2014.01.901


[48]     Z. K. Szabo, P. Körtesi, J. Guncaga, D. Szabo, and R. Neag, ‘Examples of problem-solving strategies in mathematics education supporting the sustainability of 21st-century skills’, Sustainability, vol. 12, no. 23, p. 10113, 2020. https://doi.org/10.3390/su122310113


[49]     M. A. Kandemir and H. Gur, ‘Creativity Training in Problem Solving: A Model of Creativity in Mathematics Teacher Education.’, New Horiz. Educ., vol. 55, no. 3, pp. 107–122, 2007.


[50]     W. McBeth and T. L. Volk, ‘The national environmental literacy project: A baseline study of middle grade students in the United States’, J. Environ. Educ., vol. 41, no. 1, pp. 55–67, 2009. https://doi.org/10.1080/00958960903210031


[51]     S. J. Carrier, ‘Environmental education in the schoolyard: Learning styles and gender’, J. Environ. Educ., vol. 40, no. 3, pp. 2–12, 2009. https://doi.org/10.3200/JOEE.40.3.2-12


[52]     M. Maurer and F. X. Bogner, ‘Modelling environmental literacy with environmental knowledge, values and (reported) behaviour’, Stud. Educ. Eval., vol. 65, p. 100863, 2020. https://doi.org/10.1016/j.stueduc.2020.100863


[53]     M. Erdogan, ‘The Effect of Summer Environmental Education Program (SEEP) on Elementary School Students’ Environmental Literacy.’, Int. J. Environ. Sci. Educ., vol. 10, no. 2, pp. 165–181, 2015.


[54]     S. Pe’er, D. Goldman, and B. Yavetz, ‘Environmental literacy in teacher training: Attitudes, knowledge, and environmental behavior of beginning students’, J. Environ. Educ., vol. 39, no. 1, pp. 45–59, 2007. https://doi.org/10.3200/JOEE.39.1.45-59


[55]     W.-T. Fang et al., ‘Environmental literacy on ecotourism: A study on student knowledge, attitude, and behavioral intentions in China and Taiwan’, Sustainability, vol. 10, no. 6, p. 1886, 2018. https://doi.org/10.3390/su10061886


[56]     C. W. Chen, C. Chen, and C.-J. Shieh, ‘A Study on Correlations between Computer-Aided Instructions Integrated Environmental Education and Students’ Learning Outcome and Environmental Literacy.’, EURASIA J. Math. Sci. Technol. Educ., vol. 16, no. 6, 2020. https://doi.org/10.29333/ejmste/8229


[57]     Ş. G. EREN, ‘An intervention method for environmental literacy: A trainers workshop of lifelong learning’, Kent Akad., vol. 13, no. 2, pp. 263–280, 2020. https://doi.org/10.35674/kent.695408


[58]     Q. Zheng, Y. Zheng, Q. Zheng, and S. U. Xiaofeng, ‘Effects of Environmental Education and Environmental Facilities on Visitors’ Environmental Literacy-A Case of Rural Tourism.’, Rev. Cercet. Si Interv. Sociala, vol. 69, 2020. https://doi.org/10.33788/rcis.69.20


[59]     G. Teksoz, E. Sahin, and C. Tekkaya-Oztekin, ‘Modeling environmental literacy of university students’, J. Sci. Educ. Technol., vol. 21, pp. 157–166, 2012. https://doi.org/10.1007/s10956-011-9294-3


[60]     D. Goldman, S. Pe’er, and B. Yavetz, ‘Environmental literacy of youth movement members–is environmentalism a component of their social activism?’, Environ. Educ. Res., vol. 23, no. 4, pp. 486–514, 2017. https://doi.org/10.1080/13504622.2015.1108390


[61]     P. A. Kamil, E. Putri, S. Ridha, S. Utaya, and D. H. Utomo, ‘Promoting environmental literacy through a green project: a case study at adiwiyata school in Banda Aceh City’, in IOP Conference Series: Earth and Environmental Science, IOP Publishing, 2020, p. 012035. https://doi.org/10.1088/1755-1315/485/1/012035


[62]     K. J. Masemene and S. B. MSEZANE, ‘Exploring environmental literacy components in promoting sustainable behaviour: a case study of rural primary schools’, J. Educ. Gift. Young Sci., vol. 9, no. 3, pp. 233–249, 2021. https://doi.org/10.17478/jegys.980968


[63]     B. Zareie and N. J. Navimipour, ‘The impact of electronic environmental knowledge on the environmental behaviors of people’, Comput. Hum. Behav., vol. 59, pp. 1–8, 2016. https://doi.org/10.1016/j.chb.2016.01.025


[64]     H. Meilinda, B. A. Prayitno, and P. Karyanto, ‘Student’s environmental literacy profile of adiwiyata green school in Surakarta, Indonesia’, J. Educ. Learn. EduLearn, vol. 11, no. 3, pp. 299–306, 2017. https://doi.org/10.11591/edulearn.v11i3.6433


[65]     W. Anggraini and P. Karyanto, ‘School and teachers’ role to empowerment of environmental literacy in prominent middle school based on adiwiyata program’, in Journal of Physics: Conference Series, IOP Publishing, 2019, p. 012084. https://doi.org/10.1088/1742-6596/1233/1/012084


[66]     A. Arfiana and A. Wijaya, ‘Problem solving skill of students of senior high schools and Islamic high schools in Tegal Regency in solving the problem of PISA based on Polya’s stage’, J. Ris. Pendidik. Mat., vol. 5, no. 2, pp. 211–222, 2018. https://doi.org/10.21831/jrpm.v5i2.15783


[67]     S. H. Prayitno, ‘Metacognitive Skills Analysis of Students with High Mathematics Ability to Solve the Problems of Polya Based Mathematical Stories’, in ICBLP 2019: Proceedings of the 1st International Conference on Business, Law And Pedagogy, ICBLP 2019, 13-15 February 2019, Sidoarjo, Indonesia, European Alliance for Innovation, 2019, p. 8. https://doi.org/10.4108/eai.13-2-2019.2286035


[68]     B. Baiduri, O. R. U. Putri, and P. I. Alfani, ‘Mathematical connection process of students with high mathematics ability in solving PISA problems’, Eur. J. Educ. Res., vol. 19, no. 4, pp. 1527–1537, 2020. https://doi.org/10.2991/assehr.k.201230.161


[69]     R. Diani, Y. Yuberti, S. Anggereni, G. N. Utami, A. Iqbal, and I. Kurniawati, ‘ECIRR (Elicit, Confront, Identify, Resolve, Reinforce) learning model with the pictorial riddle method: is it effective in reducing physics misconceptions?’, in Journal of Physics: Conference Series, IOP Publishing, 2020, p. 012020. https://doi.org/10.1088/1742-6596/1572/1/012020


[70]     A. M. A. Ningrum and S. Suliyanah, ‘Model Pembelajaran ECIRR (Elicit-Confront-Identify-Resolve-Reinforce) Untuk Meningkatkan Hasil Belajar Pada Materi Gerak Lurus’, PENDIPA J. Sci. Educ., vol. 5, no. 3, pp. 444–450, 2021. https://doi.org/10.33369/pendipa.5.3.444-450


[71]     A. Ardiansyah, Y. Dirgantara, R. D. Agustin, and H. Sugilar, ‘Penerapan Model Pembelajaran ECIRR (Elicit, Confront, Identify, Resolve, Reinforce) untuk Meningkatkan Kemampuan Pemecahan Masalah Peserta Didik pada Materi Fluida Statis’, J. Penelit. Pembelajaran Fis., vol. 10, no. 1, pp. 77–82, 2019. https://doi.org/10.26877/jp2f.v10i1.3543


[72]     U. Zainiyah and M. Marsigit, ‘Improving mathematical literacy of problem solving at the 5th grade of primary students’, J. Educ. Learn. EduLearn, vol. 13, no. 1, pp. 98–103, 2019. https://doi.org/10.11591/edulearn.v13i1.11519


[73]     A. Syah, H. Harizahayu, G. Al Haddar, A. Annisah, and E. Y. R. Pratiwi, ‘Improving Students’ Mathematical Problem-Solving Ability through the Use of External Representations’, J. Educ., vol. 5, no. 2, pp. 5313–5323, 2023. https://doi.org/10.31004/joe.v5i2.1274


[74]     N. Habibah, D. F. Ramdhan, I. M. Pratiwi, and M. R. Mahmud, ‘Analysis of mathematical problem solving skill of fifth grade students on geometry material’, in AIP Conference Proceedings, AIP Publishing, 2023. https://doi.org/10.1063/5.0119342


[75]     N. Fatmiyati, F. Prasetyo, D. Ambarwati, and D. Dasari, ‘Investigasi Desain Pengajaran untuk Penalaran Matematis’, Al-Khwarizmi J. Pendidik. Mat. Dan Ilmu Pengetah. Alam, vol. 11, no. 1, pp. 45–70, 2023. https://doi.org/10.24256/jpmipa.v11i1.3428


[76]     A. C. Prastiwi, A. Kholiq, and W. Setyarsih, ‘Implementation of ECIRR model based on virtual simulation media to reduce students’ misconception on kinetic theory of gases’, in Journal of Physics: Conference Series, IOP Publishing, 2018, p. 012034. https://doi.org/10.1088/1742-6596/997/1/012034


[77]     L. Lasiani and A. Rusilowati, ‘Pola pemecahan masalah berdasarkan representasi siswa dalam membangun pemahaman konsep fisika’, Phys. Commun., vol. 1, no. 1, pp. 1–7, 2017.


[78]     N. M. Griantari and N. P. S. Wati, ‘The Influence of The Implementation of Elicit, Confront, Identify, Resolve, Reinforce (ECIRR) Learning Model on Learning Outcomes of Craft And Entrepreneurship (PKWU) By Controlling Learning Motivation’, Int. J. Multidiscip. Sci., vol. 1, no. 1, pp. 87–98, 2023. https://doi.org/10.37329/ijms.v1i1.2370


[79]     B. Yıldırım and S. Sidekli, ‘STEM applications in mathematics education: The effect of STEM applications on different dependent variables’, J. Balt. Sci. Educ., vol. 17, no. 2, pp. 200–214, 2018. https://doi.org/10.33225/jbse/18.17.200


[80]     B. Wahono and C.-Y. Chang, ‘Assessing teacher’s attitude, knowledge, and application (AKA) on STEM: An effort to foster the sustainable development of STEM education’, Sustainability, vol. 11, no. 4, p. 950, 2019. https://doi.org/10.3390/su11040950


[81]     M. K. Kim, J. Y. Lee, H. Yang, J. Lee, J. N. Jang, and S. J. Kim, ‘Analysis of elementary school teachers’ perceptions of mathematics-focused STEAM education in Korea’, EURASIA J. Math. Sci. Technol. Educ., vol. 15, no. 9, p. em1746, 2019. https://doi.org/10.29333/ejmste/108482