Discovery Learning with Scaffolding To Promote Mathematical Creative Thinking Ability And Self-Efficacy

https://doi.org/10.24042/ajpm.v11i2.6903

Mohamad Gilar Jatisunda, Vici Suciawati, Dede Salim Nahdi

Abstract


Mathematical creative thinking ability and self-efficacy are a combination of abilities students need to have when studying mathematics. Mathematical learning is expected to improve both abilities. However, teachers still use conventional learning such as direct teaching, which results in a low increase in students' mathematical creative thinking abilities and self-efficacy. So we need alternative student-centred learning and teachers as facilitators who provide scaffolding. The study was conducted to obtain a description of the discovery learning process with scaffolding which aims to improve the ability to think creatively and self-efficacy. Two quasi-experimental designs with three class groups were used: The Matching-only Pretest-posttest Control Group Design was used to measure mathematical creative thinking skills, and The Matching-only Posttest-only Control Group Design was used to measure the self-efficacy scale. Based on the results of one-way ANOVA, the mathematical creative thinking ability of students discovery learning with scaffolding is better than discovery learning and conventional learning. Likewise, this happens to 'self-efficacy, based on the one-way ANOVA that students' self-efficacy of discovery learning with scaffolding is better than discovery learning and conventional learning. The learning process of discovery learning with scaffolding has a positive impact on the improvement of mathematical creative thinking abilities and self-efficacy

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Argina, A. W., Mitra, D., Ijabah, N., & Setiawan, R. (2017). Indonesian PISA Result: What Factors and What Should Be Fixed? Proceedings Education and Language International Conference, 1(1).

Bosch, N. (2008). Rubric for Creative Thinking Skills Evaluation. Retrieved June, 20, 2012.

Colyvan, M. (2012). An introduction to the philosophy of mathematics. Cambridge University Press.

Czocher, J. A., Melhuish, K., & Kandasamy, S. S. (2019). Building mathematics self-efficacy of STEM undergraduates through mathematical modelling. International Journal of Mathematical Education in Science and Technology, 1–28.

Ernest, P. (1985). The philosophy of mathematics and mathematics education. International Journal of Mathematical Education in Science and Technology, 16(5), 603–612.

Fauziah, M., Marmoah, S., Murwaningsih, T., & Saddhono, K. (2020). Profile of divergent thinking ability of elementary school student in thematic learning. Elementary Education Online, 19(2), 624–640.

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

Glazer, E., & McConnell, J. W. (2002). Real-life math: Everyday use of mathematical concepts. Greenwood Press.

Gravemeijer, K., Stephan, M., Julie, C., Lin, F.-L., & Ohtani, M. (2017). What mathematics education may prepare students for the society of the future? International Journal of Science and Mathematics Education, 15(1), 105–123.

Jerome, E. M., Hamre, B. K., & Pianta, R. C. (2009). Teacher--child relationships from kindergarten to sixth grade: Early childhood predictors of teacher-perceived conflict and closeness. Social Development, 18(4), 915–945.

Johar, R. (2012). Domain soal PISA untuk literasi matematika. Jurnal Peluang, 1(1), 30.

Kirschner, P. A., Sweller, J., & Clark, R. E. (2006). Why minimal guidance during instruction does not work: An analysis of the failure of constructivist, discovery, problem-based, experiential, and inquiry-based teaching. Educational Psychologist, 41(2), 75–86. https://doi.org/https://doi.org/10.1207/s15326985ep4102_1

Kohen, Z., Amram, M., Dagan, M., & Miranda, T. (2019). Self-efficacy and problem-solving skills in mathematics: the effect of instruction-based dynamic versus static visualization. Interactive Learning Environments, 1–20.

Könings, K. D., van Zundert, M., & van Merriënboer, J. J. G. (2019). Scaffolding peer-assessment skills: Risk of interference with learning domain-specific skills? Learning and Instruction, 60, 85–94. https://doi.org/https://doi.org/10.1016/j.learninstruc.2018.11.007

Lavine, R. (2012). Guided Discovery Learning. Encyclopedia of the Sciences Of.

Maddux, J. E. (2002). Self-efficacy. Handbook of Positive Psychology, 277–287.

Mann, E. L. (2006). Creativity: The essence of mathematics. Journal for the Education of the Gifted, 30(2), 236–260.

Martin, L. E., & Mulvihill, T. M. (2019). Voices in Education: Teacher Self-Efficacy in Education. The Teacher Educator, 54(3), 195–205.

Meidawati, Y. (2013). Pengaruh Pendekatan Pembelajaran lnkuiri Tebimbing terhadap Peningkatan Kemampuan Pemecahan Masalah Matematis Siswa SMP. Universitas Terbuka.

Morris, D. B., Usher, E. L., & Chen, J. A. (2017). Reconceptualizing the sources of teaching self-efficacy: A critical review of emerging literature. Educational Psychology Review, 29(4), 795–833.

Muchyidin, A. (2017). Pengaruh Penggunaan Bahan Ajar Matematika Bersuplemen Komik Terhadap Kemandirian Belajar Siswa. Eduma: Mathematics Education Learning and Teaching, 6(1), 43–51.

Mullis, I. V. S., Martin, M. O., Foy, P., Arora, A., & others. (2012). TIMSS 2011 international results in mathematics. TIMSS & PIRLS International Study Center Chestnut Hill, MA.

Mullis, I. V. S., Martin, M. O., Ruddock, G. J., O’Sullivan, C. Y., & Preuschoff, C. (2014). TIMSS 2015. G4_Booklet_1. Chestnut Hill, MA: TIMSS & PIRLS International Study Center, Lynch School of Education, Boston College.

Norton, S. (2019). Middle school mathematics pre-service teachers’ content knowledge, confidence and self-efficacy. Teacher Development, 23(5), 529–548. https://doi.org/10.1080/13664530.2019.1668840

Nugroho, H. A., Hidayah, I., & others. (2020). Mathematical Literacy in Discovery Learning with Scaffolding Strategy Reviewed from Self Efficacy. Unnes Journal of Mathematics Education Research, 9(1), 44–51.

Pajares, F. (1996). Self-efficacy beliefs in academic settings. Review of Educational Research, 66(4), 543–578.

Pajares, F. (2002). Overview of social cognitive theory and of self-efficacy.

PISA. (2013). PISA 2012 results in focus: What 15-year-olds know and what they can do with what they know. Author Paris, France.

Qadri, L., Ikhsan, M., & Yusrizal, Y. (2019). Mathematical Creative Thinking Ability for Students Through REACT Strategies. International Journal for Educational and Vocational Studies, 1(1), 58–61.

Russell, B. (1993). Introduction to mathematical philosophy. Courier Corporation.

Schmid, R. F., Bernard, R. M., Borokhovski, E., Tamim, R., Abrami, P. C., Wade, C. A., Surkes, M. A., & Lowerison, G. (2009). Technology’s effect on achievement in higher education: a Stage I meta-analysis of classroom applications. Journal of Computing in Higher Education, 21(2), 95–109.

Schunk, D. H. (1995). Self-efficacy and education and instruction. In Self-efficacy, adaptation, and adjustment (pp. 281–303). Springer.

Shapiro, S. (2005). The Oxford handbook of philosophy of mathematics and logic. Oxford University Press.

Simon, M. A. (2020). Elaborating reflective abstraction for instructional design in mathematics: Postulating a Second Type of Reflective Abstraction. Mathematical Thinking and Learning, 22(2), 162–171.

Siregar, Y. (2015). Kompetensi guru dalam bidang strategi perencanaan dan pembelajaran Matematika. Formatif: Jurnal Ilmiah Pendidikan MIPA, 3(1).

Sparks, S. D. (2014). An age-old problem gets new attention. Education Week, 33(34), 5–9.

Sriraman, B. (2009). The characteristics of mathematical creativity. ZDM, 41(1–2), 13.

Stacey, K. (2011). The PISA view of mathematical literacy in Indonesia. Journal on Mathematics Education, 2(2), 95–126.

Sumarmo, U. (2010). Berpikir Dan Disposisi Matematik: Apa, Mengapa, dan bagaimana dikembangkan pada peserta didik. Bandung: FPMIPA UPI.

Suryadi, D. (2015). Refleksi Kritis Tradisi Pendidikan Matematika dan Sebuah Gagasan Alternatif. In Pendidikan Disiplin Ilmu Abad 21: Sebuah Kajian Prospektif. (pp. 122–147). UPI PRESS.

Sweller, J. (2004). Instructional design consequences of an analogy between evolution by natural selection and human cognitive architecture. Instructional Science, 32(1–2), 9–31. https://doi.org/10.1023/B:TRUC.0000021808.72598.4d

Tossavainen, T., Rensaa, R. J., & Johansson, M. (2019). Swedish first-year engineering students’ views of mathematics, self-efficacy and motivation and their effect on task performance. International Journal of Mathematical Education in Science and Technology, 1–16.

Utomo, A. P., Yuana, K., Narulita, E., Fikri, K., & Wahono, B. (2018). Students’ errors in solving science reasoning-domain of trends in international mathematics and science study (TIMSS). Jurnal Pendidikan IPA Indonesia, 7(1), 48–53.

van Rooij, E. C. M., Fokkens-Bruinsma, M., & Goedhart, M. (2019). Preparing Science Undergraduates for a Teaching Career: Sources of Their Teacher Self-Efficacy. The Teacher Educator, 54(3), 270–294.

Wang, S.-L., & Lin, S. S. J. (2007). The effects of group composition of self-efficacy and collective efficacy on computer-supported collaborative learning. Computers in Human Behavior, 23(5), 2256–2268.

Watson, S., & Marschall, G. (2019). How a trainee mathematics teacher develops teacher self-efficacy. Teacher Development, 23(4), 469–487.

White, H., & Sabarwal, S. (2014). Quasi-experimental design and methods. Methodological Briefs: Impact Evaluation, 8, 1–16. https://beamexchange.org/uploads/filer_public/63/94/639467e9-9bc1-45f6-bc3b-7c3e296e418b/quasi-experimental_design_methods.pdf

Zhou, D., Du, X., Hau, K.-T., Luo, H., Feng, P., & Liu, J. (2019). Teacher-student relationship and mathematical problem-solving ability: mediating roles of self-efficacy and mathematical anxiety. Educational Psychology, 1–17




DOI: https://doi.org/10.24042/ajpm.v11i2.6903

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Al-Jabar : Jurnal Pendidikan Matematika is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.