Aprendiendo a promover la curiosidad matemática y la creatividad estudiantiles

Autores/as

DOI:

https://doi.org/10.15359/ru.37-1.6

Palabras clave:

Razonamiento matemático, razonamiento inductivo, razonamiento deductivo, trigonometría

Resumen

[Antecedentes] El razonamiento ha sido ampliamente estudiado por muchas personas expertas. Sin embargo, la investigación sobre el razonamiento de estudiantes en la resolución de problemas trigonométricos, en particular los relacionados con las habilidades de pensamiento lógico, sigue siendo muy necesaria. [Objetivo] Esta investigación es un estudio cualitativo que tuvo como objetivo explorar el razonamiento de estudiantes en la resolución de problemas trigonométricos en términos de su habilidad lógica. [Método] Los sujetos participantes del estudio fueron tres estudiantes con diferentes habilidades de pensamiento lógico (baja, alta y media). El instrumento en este estudio fue el propio investigador como instrumento principal apoyado en tareas de resolución de problemas matemáticos y pautas de entrevista válidas y confiables. La recolección de datos se llevó a cabo mediante entrevistas basadas en tareas y pensamiento en voz alta. [Resultados] En cuanto a los resultados obtenidos: (1) Lo que tienen en común participantes con habilidad de pensamiento lógico alta (ST) y media (SS) en cuanto a su razonamiento es que solían comenzar con el razonamiento inductivo y luego razonaban deductivamente, y (2) la diferencia en su razonamiento es que el estudiante con baja habilidad de pensamiento lógico (SR) no mostró ningún proceso de razonamiento en absoluto. [Conclusión] Para resumir, el razonamiento de estudiantes podría usarse como referencia en el desarrollo de modelos de aprendizaje matemático para mejorar sus habilidades de razonamiento.

Referencias

Abdurrozak, R., & Jayadinata, A. K. (2016). Pengaruh Model Problem Based Learning Terhadap Kemampuan Berpikir Kreatif Siswa. Jurnal Pena Ilmiah, 1(1), 871–880. https://ejournal.upi.edu/index.php/penailmiah/article/view/3580

Aksu, M., & Bikos, L. H. (2002). Measuring and predicting graduate students’ attitudes toward statistics. Hacettepe Universitesi Egitim Fakultesi Dergisi, 1(23), 22–31.

Arriah, F. (2019). Pengaruh Penerapan Metode Pembelajaran Mind Mapping Terhadap Kemampuan Berpikir Kreatif Matematika. Suara Intelektual Gaya Matematika, 11(2), 97–105. https://journal.unismuh.ac.id/index.php/sigma/article/view/3519/2571

Battista, M. T. (1999). The mathematical miseducation of America’s youth: Ignoring research and scientific study in education. Phi Delta Kappan, 80(6), 425–433.

Chrysmawati, L., Taufik, A., & Riyadi, M. (2017). Penerapan Model Discovery Learning Berbantuan Alat Peraga Pentas Trigonometri untuk Meningkatkan Kemampuan Berpikir Kreatif Matematis Siswa. Prosiding SEMNAS Pendidikan Matematika 2017 Tema “Inovasi Pembelajaran Berbasis Mulitmedia", 73–84. https://doi.org/10.25134/jes-mat.v5i2.1734

Cintia, N. I., Kristin, F., & Anugraheni, I. (2018). Penerapan model pembelajaran discovery learning untuk meningkatkan kemampuan berpikir kreatif dan hasil belajar siswa. Jurnal Pendidikan Kimia Indonesia, 32(1), 69–77. https://doi.org/DOI: https://doi.org/10.21009/PIP.321.8

Darusman, R. (2014). Penerapan Metode Mind Mapping (Peta Pikiran) untuk Meningkatkan Kemampuan Berpikir Kreatif Matematik Siswa SMP. Infinity: Jurnal Ilmiah Program Studi Matematika STKIP Siliwangi Bandung, 3(2), 164–173. https://doi.org/10.22460/infinity.v3i2.61

Dini Kinati Fardah. (2012). Analisis Proses dan Kemampuan Berpikir Kreatif Siswa dalam Matematika Melalui Tugas Open-Ended. Kreano: Jurnal Matematika Kreatif-Inovatif, 3(2), 91–99. https://doi.org/10.15294/kreano.v7i2.5919

Fitriyah, N., Hariani, S. A., & Fikri, K. (2015). Pengaruh Model Pembelajaran Creative Problem Solving dengan Mind Mapping terhadap Kemampuan Berpikir Kreatif dan Hasil Belajar IPA Biologi. JURNAL EDUKASI, 2(2), 44–50.

Gajda, A. (2016). The relationship and moderators of school achievement and creativity at different educational stages. Thinking Skills and Creativity, 19, 246–259. https://doi.org/10.1016/j.tsc.2015.12.004

Greene, H. (2014). Learning through student created, content videos. International Journal of Arts & Sciences, 07(02), 469–478. https://www.researchgate.net/publication/274073117_Learning_through_student_created_content_videos

Hafiz, M., Kadir, & Fatra, M. (2017). Concept mapping learning strategy to enhance students’ mathematical connection ability. AIP Conference Proceedings, 1848(September), 1–8. https://doi.org/10.1063/1.4983944

Harackiewicz, J. M., & Hulleman, C. S. (2010). The Importance of Interest: The Role of Achievement Goals and Task Values in Promoting the Development of Interest. Social and Personality Psychology Compass, 4(1), 42–52. https://doi.org/10.1111/j.1751-9004.2009.00207.x

Harackiewicz, J. M., Durik, A. M., Barron, K. E., Linnenbrink-Garcia, L., & Tauer, J. M. (2008). The Role of Achievement Goals in the Development of Interest: Reciprocal Relations Between Achievement Goals, Interest, and Performance. Journal of Educational Psychology, 100(1), 105–122. https://doi.org/10.1037/0022-0663.100.1.105

Haylock, D. (1997). Recognising mathematical creativity in schoolchildren. Zentralblatt Für Didaktik Der Mathe matik, 29(3), 68–74. https://link.springer.com/10.1007/s11858-997-0002-y

Hidi, S. (1990). Interest and Its Contribution as a Mental Resource for Learning. Review of Educational Research, 60(4), 549–571. https://doi.org/10.3102/00346543060004549

Huang, M. C. L., Chou, C. Y., Wu, Y. T., Shih, J. L., Yeh, C. Y. C., Lao, A. C. C., Fong, H., Lin, Y. F., & Chan, T. W. (2020). Interest-driven video creation for learning mathematics. In Journal of Computers in Education (Vol. 7, Issue 3). Springer Berlin Heidelberg. https://doi.org/10.1007/s40692-020-00161-w

Jensen, M., Johnson, D. W., & Johnson, R. T. (2002). Impact of positive interdependence during electronic quizzes on discourse and achievement. Journal of Educational Research, 95(3), 161–166. https://doi.org/10.1080/00220670209596586

Jin, H., & Wong, K. Y. (2015). Mapping Conceptual Understanding of Algebraic Concepts: an Exploratory Investigation Involving Grade 8 Chinese Students. International Journal of Science and Mathematics Education, 13(3), 683–703. https://doi.org/10.1007/s10763-013-9500-2

Kattou, M., Kontoyianni, K., Pitta-Pantazi, D., & Christou, C. (2013). Connecting mathematical creativity to mathematical ability. ZDM - International Journal on Mathematics Education, 45(2), 167–181. https://doi.org/10.1007/s11858-012-0467-1

Kaufman, J. C., & Beghetto, R. A. (2009). Beyond Big and Little: The Four C Model of Creativity. Review of General Psychology, 13(1), 1–12. https://doi.org/10.1037/a0013688

Krapp, A. (1999). Interest, motivation and learning: An educational-psychological perspective. European Journal of Psychology of Education, 14(1), 23–40. https://doi.org/10.1007/BF03173109

Kwon, O. N., Park, J. S., & Park, J. H. (2006). Cultivating divergent thinking in mathematics through an open-ended approach. Asia Pacific Education Review, 7(1), 51–61. https://doi.org/10.1007/BF03036784

Leksani, S. A., Syaodih, E., & Ilyas. (2018). Meningkatkan Kemampuan Berpikir Kreatif Menggunakan Model Pembelajaran Discovery Learning. Jurnal Pendidikan Dan Pembelajaran Ekonomi Akuntansi, 4(1), 16–23.

Lerkkanen, M. K., Kiuru, N., Pakarinen, E., Viljaranta, J., Poikkeus, A. M., Rasku-Puttonen, H., Siekkinen, M., & Nurmi, J. E. (2012). The role of teaching practices in the development of children’s interest in reading and mathematics in kindergarten. Contemporary Educational Psychology, 37(4), 266–279. https://doi.org/10.1016/j.cedpsych.2011.03.004

Menegale, M. (2008). Expanding teacher-student interaction through more effective classroom questions: from traditional teacher-fronted lessons to student-centred lessons in CLIL. In Coonan, CM (ed.), CLIL e l'apprendimento delle lingue. Le sfide del nuovo ambiente di apprendimento, Venezia, settembre 2008. Venezia: Libreria Editrice Cafoscarina, 2008, (pp. 105-128). Venezia, Libreria Editrice Cafoscarina. https://www.academia.edu/1422706/Expanding_teacher_student_interaction_through_more_effective_classroom_questions_from_traditional_teacher_fronted_lessons_to_student_centred_lessons_in_CLIL

Molad, O., Levenson, E. S., & Levy, S. (2020). Individual and group mathematical creativity among post–high school students. Educational Studies in Mathematics, 104(2), 201–220. https://doi.org/10.1007/s10649-020-09952-5

Mullis, I.V.S., Martin, M.O., Foy, P., & Arora, a. (2012). Results in Mathematics (Vol. 43).

Muslim, S. R. (2016). Kontribusi penggunaan model discovery learning terhadap kemampuan berpikir kreatif matematik peserta didik. Jurnal Penelitian Pendidikan Dan Pengajaran Matematika, 2(1), 67–74. https://doi.org/10.37058/jp3m.v2i1.155

Muzaini, M., Rahayuningsih, S., Ikram, M., & Nasiruddin, F. A.-Z. (2023). Mathematical creativity: Student geometrical figure apprehension in geometry problem-solving using new auxiliary elements. International Journal of Educational Methodology, 9(1), 139-150. https://doi.org/10.12973/ijem.9.1.139

Neber, H. (2012). Discovery learning. In Discovery Learning (2012th ed., Vol. 1, Issue 1, pp. 10091012). Seel. N. (Ed.). (2012) Encyclopedia of the Sciences of Learning (pp. 1009-1012). New York: Springer Science & Business Media. https://doi.org/10.1080/03004277308558792

Norton, A., & Deater-Deckard, K. (2014). Mathematics in mind, brain, and education: a neo-piagetian approach. June 2013.

Purwaningrum, J. P. (2016). Mengembangkan Kemampuan Berpikir Kreatif Matematis Melalui Discovery Learning Berbasis Scientific Approach. Jurnal Refleksi Edukatika, 6(2), 145–157. https://doi.org/https://doi.org/10.24176/re.v6i2.613

Rahayu, E. L., Akbar, P., & Afrilianto, M. (2018). Pengaruh Metode Mind Mapping Terhadap Strategi Thinking Aloud Pair Problem Solving Terhadap Kemampuan Berpikir Kreatif Matematis. Journal on Education, 1(2), 271–278

Rahayuningsih, S., Nurhusain, M., & Indrawati, N. (2022). Mathematical Creative Thinking Ability and Self-Efficacy: A Mixed-Methods Study involving Indonesian Students. Uniciencia, 36(1), 1-14. https://doi.org/10.15359/ru.36-1.20

Rahayuningsih, S., Sirajuddin, S., & Nasrun, N. (2020). Cognitive flexibility: exploring students’ problem-solving in elementary school mathematics learning. JRAMathEdu (Journal of Research and Advances in Mathematics Education), 6(1), 59–70. https://doi.org/10.23917/jramathedu.v6i1.11630

Rahmah, N. (2018). Hakikat Pendidikan Matematika. Al-Khwarizmi: Jurnal Pendidikan Matematika Dan Ilmu Pengetahuan Alam, 1(2), 1–10. https://doi.org/10.24256/jpmipa.v1i2.88

Safii, M. (2019). Kemampuan Berpikir Kreatif Melalui Model Mind Mapping dan Strategi Active Knowledge Sharing pada Materi Bangun Ruang Sisi Datar Kubus dan Balok. Jurnal Penelitian, Pendidikan, Dan Pembelajaran, 14(9), 30–40. https://doi.org/10.33474/jpm.v4i1.2611

Savelsbergh, E. R., Prins, G. T., Rietbergen, C., Fechner, S., Vaessen, B. E., Draijer, J. M., & Bakker, A. (2016). Effects of innovative science and mathematics teaching on student attitudes and achievement: A meta-analytic study. Educational Research Review, 19, 158–172. https://doi.org/10.1016/j.edurev.2016.07.003

Savitri, E., & Saadi, P. (2019). Model pembelajaran core berbantuan mind mapping peserta didik pada materi stoikiometri core Learning Model aided Mind Mapping to Improve Students Creative Thinking Ability on Stoichiometry. Jurnal Inovasi Pendidikan Sains, 10(1), 68–75. https://doi.org/10.20527/quantum.v10i1.5944

Silver, E. A. (1997). Fostering creativity through instruction rich in mathematical problem solving and problem posing. Zdm, 29(3), 75–80. https://doi.org/10.1007/s11858-997-0003-x

Singer, F. M., Ellerton, N., & Cai, J. (2013). Problem-posing research in mathematics education: New questions and directions. Educational Studies in Mathematics, 83(1), 1–7. https://doi.org/10.1007/s10649-013-9478-2

Suyitno, H., & Artikel, I. (2015). Model Pembelajaran Discovery Learning Dengan Pendekatan Metakognitif Untuk Meningkatkan Metakognisi Dan Kemampuan Berpikir Kreatif Matematis. Unnes Journal of Research Mathematics Education, 4(1), 10–17. https://doi.org/10.25273/pe.v4i01.305

Syahidah, N. (2015). metode pembelajaran mind mapping sebagai upaya mengembangkan kreativitas siswa dalam pembelajaran ekonomi. Prosiding Seminar Nasional 9 Mei 2015, 108–117.

Szabo, Z. K., Körtesi, P., Guncaga, J., Szabo, D., & Neag, R. (2020). Examples of problem-solving strategies in mathematics education supporting the sustainability of 21st-century skills. Sustainability (Switzerland), 12(23), 1–28. https://doi.org/10.3390/su122310113

Thao, N. P., Tron, N. H., & Loc, N. P. (2020). Discovery learning based on simulation: A case of surfaces of revolution. Universal Journal of Educational Research, 8(8), 3430–3438. https://doi.org/10.13189/ujer.2020.080817

Uysal, H., & Sidekli, S. (2020). Developing Story Writing Skills with Fourth Grade Students’ Mind Mapping Method. TeEği̇ti̇m VBi̇li̇m, September. https://doi.org/10.15390/eb.2020.8848

Wong, S. L., & Wong, S. L. (2019). Relationship between interest and mathematics performance in a technology-enhanced learning context in Malaysia. Research and Practice in Technology Enhanced Learning, 14(1). https://doi.org/10.1186/s41039-019-0114-3

Wu, S. S., Barth, M., Amin, H., Malcarne, V., & Menon, V. (2012). Math anxiety in second and third graders and its relation to mathematics achievement. Frontiers in Psychology, 3(JUN). https://doi.org/10.3389/fpsyg.2012.00162

Wulandari, F. A., Mawardi, M., & Wardani, K. W. (2019). Peningkatan Keterampilan Berpikir Kreatif Siswa Kelas 5 Menggunakan Model Mind Mapping. Jurnal Ilmiah Sekolah Dasar, 3(1), 10–16. https://doi.org/10.23887/jisd.v3i1.17174

Yanti, N. M. M., Sudia, M., & Arapu, L. (2019). Pengaruh model pembelajaran mind mapping terhadap kemampuan berpikir kreatif matematis peserta didik kelas viii smp negeri 8 konawe selatan. Jurnal Penelitian Pendidikan Matematika, 7(3), 71–84. http://ojs.uho.ac.id/index.php/JPPM/article/view/11375/8019

Yu, R., & Singh, K. (2018). Teacher support, instructional practices, student motivation, and mathematics achievement in high school. Journal of Educational Research, 111(1), 81–94. https://doi.org/10.1080/00220671.2016.1204260

Zaremba, L. S., & Smoleński, W. H. (2000). Optimal portfolio choice under a liability constraint. Annals of Operations Research, 97(1–4), 131–141. https://doi.org/10.1023/a:1018996712442

Publicado

2023-06-01

Cómo citar

Aprendiendo a promover la curiosidad matemática y la creatividad estudiantiles. (2023). Uniciencia, 37(1), 1-13. https://doi.org/10.15359/ru.37-1.6

Número

Sección

Artículos científicos originales (arbitrados por pares académicos)

Cómo citar

Aprendiendo a promover la curiosidad matemática y la creatividad estudiantiles. (2023). Uniciencia, 37(1), 1-13. https://doi.org/10.15359/ru.37-1.6

Comentarios (ver términos de uso)