Mathematical Reasoning Ability of Male and Female Students in Problem Base Learning

Authors

DOI:

https://doi.org/10.31764/jtam.v7i3.15023

Keywords:

Mathematical Reasoning Ability, PBL, Gender, GeoGebra.

Abstract

Considering the objectives and standards of the mathematics learning process, mathematical reasoning is an ability that students are expected to have. Nonetheless, the mathematical reasoning abilities of Indonesian students are still inadequate, and learning resources are still inadequate. The researcher then tries to solve it by combining the problem-based learning (PBL) paradigm with the use of GeoGebra in the classroom. The aim of this research is to identify and analyze the effect of GeoGebra and Gender-assisted problem-based learning (PBL) models on students' mathematical reasoning abilities. The study involved 35 students of XI State Senior High School at one of the schools in Mataram City. The research instrument used a mathematical reasoning ability test consisting of five essay questions. The study applied a one-group pretest-posttest design to observe the increase in students' mathematical reasoning abilities. Mathematical reasoning ability tests were given before and after the implementation of the GeoGebra-assisted PBL model. Data analysis used descriptive statistics, paired t-tests, and independent t-tests. The results of the analysis show that improving students' mathematical reasoning abilities can be done by applying the GeoGebra-assisted PBL model in the classroom. Observation of the psychological aspects of Gender showed significant results in students' mathematical reasoning abilities.

Author Biography

Habibi Ratu Perwira Negara, Mathematics Education Program, Universitas Islam Negeri Mataram

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Scopus ID: (Article in Scopus)

Sinta ID: 6003122

Google Scholar

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Field of Research Interest:

Mathematics Education, Computational Mathematics, Development Research

References

Agustiani, S., Dian, I. P., Fitriani, R., Faradillah, A., & Alyani, F. (2021). Analisis Kemampuan Berpikir Kritis Siswa SMA dalam Menyelesaikan Soal Matematika Berdasarkan Gender dan Geogebra. Jurnal GeoGebra Indonesia, 1(2), 83–97. https://journal.geogebra.id/index.php/IGJ/article/view/14

Ahmad, A., & Sehabuddin, A. (2017). Komparasi Prestasi Belajar Matematika Siswa Berdasarkan Gender. JTAM | Jurnal Teori Dan Aplikasi Matematika, 1(1), 15. https://doi.org/10.31764/jtam.v1i1.4

Aminah, A., & Ayu Kurniawati, K. R. (2018). Analisis Kesulitan Siswa Dalam Menyelesaikan Soal Cerita Matematika Topik Pecahan Ditinjau Dari Gender. JTAM | Jurnal Teori Dan Aplikasi Matematika, 2(2), 118. https://doi.org/10.31764/jtam.v2i2.713

Anam, K., Sudarwo, R., & Wiradharma, G. (2020). Application of the Problem Based Learning Model to Communication Skills and Mathematical Problem Solving Skills in Junior High School Students. JTAM (Jurnal Teori Dan Aplikasi Matematika), 4(2), 155. https://doi.org/10.31764/jtam.v4i2.2553

Ariati, C., & Juandi, D. (2022). Kemampuan Penalaran Matematis: Systematic Literature Review. LEMMA: Letters Of Mathematics Education, 8(2), 61–75. https://ejournal.upgrisba.ac.id/index.php/jurnal-lemma/article/view/5745

Aslan, A. (2021). Problem-based learning in live online classes : Learning achievement, problem-solving skill, communication skill, and interaction. Computers & Education, 171, 1–15. https://doi.org/10.1016/j.compedu.2021.104237

Ayuningtyas, W., Mardiyana, & Pramudya, I. (2019). Analysis of student ’ s geometry reasoning ability at senior high school Analysis of student ’ s geometry reasoning ability at senior high. Journal of Physics: Conference Series, 1188(012016), 0–8. https://doi.org/10.1088/1742-6596/1188/1/012016

Azizah, N. R., Imamuddin, M., & Rahmat, T. (2022). Pemahaman Konsep Matematika Siswa Berdasarkan Jenis Kelamin. Juring (Journal for Research in Mathematics Learning), 5(3), 199–206. https://ejournal.uin-suska.ac.id/index.php/juring/article/view/19105

Bahri, S., Santosa, F. H., Kurniawati, K. R. A., & Negara, H. R. P. (2022). Kemampuan penalaran matematis mahasiswa berdasarkan variasi gender dan self-efficacy matematis. Journal of Didactic Mathematics, 2(3), 134–141. https://doi.org/10.34007/jdm.v2i3.1047

Bluman, A. G. (2013). Elementary Statistics A Step by Step Approach. The McGraw-Hill Companies, Inc.

Bosica, J., Pyper, J. S., & Macgregor, S. (2021). Incorporating problem-based learning in a secondary school mathematics preservice teacher education course. Teaching and Teacher Education, 102(1), 1–10. https://doi.org/10.1016/j.tate.2021.103335

Breda, T., Jouini, E., & Napp, C. (2018). Societal Inequalities Amplify Gender Gaps in Math Societal Inequalities Amplify Gender Gaps in Math. Science, 359(6381), 1219–1220. https://doi.org/10.1126/science.aar2307

Cahyani, N. D., & Sritresna, T. (2023). Kemampuan penalaran matematis siswa dalam menyelesaikan soal cerita. Jurnal Inovasi Pembelajaran Matematika: PowerMathEdu (PME), 02(01), 103–112. https://doi.org/10.31980/powermathedu.v2i1.2720

Carr, M., Alexeev, N., Wang, L., Barned, N., Horan, E., & Reed, A. (2018). The Development of Spatial Skills in Elementary School Students. Child Development, 89(2), 446–460. https://doi.org/10.1111/cdev.12753

Cho, H., Cho, S. M., Cho, B. M., Jeong, S. H., & Cho, S. Y. (2021). A Study on Key Components of Problem-Based Learning through Literature Review. Journal of Problem-Based Learning, 8(2), 69–74. https://doi.org/https://doi.org/10.24313/jpbl.2021.00045

Dzarian, W. O., Salam, M., & Anggo, M. (2021). Analisis Kemampuan Komunikasi Matematis Siswa Ditinjau dari Gender (Analysis of Students ’ Mathematical Communication Ability in terms of Gender). Jurnal Pembelajaran Berpikir Matematika, 6(1), 61–76. https://doi.org/10.33772/jpbm.v6i1.18618

Escudero, A., Lago, M. O., & Dopico, C. (2022). Gender Similarities in the Mathematical Performance of Early School-Age Children. Mathematics, 10(17), 1–24. https://doi.org/10.3390/math10173094

Farah Deeba, Sana Hafeez, S. N. (2021). An Investigation Of 10th Grade Students’ Self-Efficacy Beliefs In Mathematics. Pakistan Journal of Educational Research, 4(1), 126–142. https://doi.org/10.52337/pjer.v4i1.145

Firmanti, P. (2018). Penalaran Siswa Laki-laki dan Perempuan dalam Proses Pembelajaran Matematika. HUMANISMA: Journal of Gender Studies, 1(2), 73–85. https://doi.org/10.30983/jh.v1i2.220

Fraenkel, J. R., Wallen, N. E., & Hyun, H. H. (2013). How to Design Research in Education and Evaluate. The McGraw-Hill Companies, Inc.

Ghazali, A. F., Othman, A. K., Sokman, Y., Zainuddin, N. A., Suhaimi, A., Mokhtar, N. A., & Yusoff, R. M. (2021). Investigating social cognitive theory in online distance and learning for decision support: The case for community of Inquiry. International Journal of Asian Social Science, 11(11), 522–538. https://doi.org/10.18488/journal.1.2021.1111.522.538

Girelli, L. (2022). What does gender has to do with math? Complex questions require complex answers. Journal of Neuroscience Research, 101(1), 679–688. https://doi.org/10.1002/jnr.25056

Harris, D., Lowrie, T., Logan, T., & Hegarty, M. (2020). Spatial reasoning, mathematics, and gender : Do spatial constructs differ in their contribution to performance ? British Journal of Educational Psychology, 91(1), 1–33. https://doi.org/10.1111/bjep.12371

Hastuti, I. D., Fuster-guill, D., Paola, J., Garay, P., Hern, R. M., & Namaziandost, E. (2022). The Effect of Problem-Based Learning on Metacognitive Ability in the Conjecturing Process of Junior High School Students. Hindawi Education Research International, 2022(1), 1–10. https://doi.org/https://doi.org/10.1155/2022/2313448

Husniah, A., & Azka, R. (2022). Modul Matematika dengan Model Pembelajaran Problem Based Learning untuk Memfasilitasi Kemampuan Penalaran Matematis Siswa. Mosharafa: Jurnal Pendidikan Matematika, 11(2), 327–338. https://doi.org/10.31980/mosharafa.v11i2.1329

Imamuddin, M. (2017). Kemampuan Spasial Mahasiswa Laki-laki dan Perempuan dalam Menyelesaikan Masalah Geometri. HUMANISMA: Journal of Gender Studies, 1(2), 38–47. https://doi.org/10.30983/jh.v1i2.223

Johnson, T., Burgoyne, A. P., Mix, K. S., Young, C. J., & Levine, S. C. (2022). Spatial and mathematics skills: Similarities and differences related to age, SES, and gender. Cognition, 218(1), 104918. https://doi.org/10.1016/J.COGNITION.2021.104918

Jonsson, B., Norqvist, M., Liljekvist, Y., & Lithner, J. (2014). Learning mathematics through algorithmic and creative reasoning. Journal of Mathematical Behavior, 36(1), 20–32. https://doi.org/10.1016/j.jmathb.2014.08.003

Khasawneh, A. A., Al-Barakat, A. A., & Almahmoud, S. A. (2023). The impact of mathematics learning environment supported by error- analysis activities on classroom interaction. EURASIA Journal of Mathematics, Science and Technology Education, 19(12), 1–17. https://doi.org/10.29333/ejmste/12951

Kirçali, A. Ç., & Özdener, N. (2022). A Comparison of Plugged and Unplugged Tools in Teaching Algorithms at the K-12 Level for Computational Thinking Skills. Technology, Knowledge and Learning. https://doi.org/10.1007/s10758-021-09585-4

Kladchuen, R., & Srisomphan, J. (2021). The synthesis of a model of problem-based learning with the gamification concept to enhance the problem-solving skills for high vocational certificate. International Journal of Emerging Technologies in Learning, 16(4), 4–21. https://doi.org/10.3991/ijet.v16i14.20439

Kurniawan, D. A., Astalini, Darmaji, Tanti, & Maryani, S. (2022). Innovative Learning: Gender Perception of e-Module Linear Equations in Mathematics and Physics. Indonesian Journal on Learning and Advanced Education (IJOLAE), 4(2), 92–106. https://doi.org/10.23917/ijolae.v4i2.16610

Lindner, J., Makarova, E., Bernhard, D., & Brovelli, D. (2022). Toward Gender Equality in Education—Teachers’ Beliefs about Gender and Math. Education Sciences, 12(6), 1–24. https://doi.org/10.3390/educsci12060373

Mahmudi, A. (2010). Pengaruh Pembelajaran dengan Strategi MHM Berbasis Masalah Terhadap Kemampuan Berpikir Kreatif, Kemampuan Pemecahan Masalah, dan Disposisi Matematis, serta Persepsi Terhadap Kreativitas. Disertasi Pada Sekolah Pascasarjana Universitas Pendidikan Indonesia Bandung. Tidak dipublikasikan.

Manurung, A. S., Halim, A., & Rosyid, A. (2022). The Implementation of Cooperative Learning Model to Improve Mathematics Learning Outcomes. Jurnal Basicedu, 6(1), 877–885. https://doi.org/10.31004/basicedu.v6i1.2026

Marfu, S. (2022). Model Pembelajaran Matematika untuk Meningkatkan Kemampuan Penalaran Matematis Siswa. PRISMA, Prosiding Seminar Nasional Matematika, 5(1), 50–54. https://journal.unnes.ac.id/sju/index.php/prisma/article/view/54339

Mumu, J., & Tanujaya, B. (2019). Measure Reasoning Skill of Mathematics Students. International Journal of Higher Education, 8(6), 85–91. https://doi.org/10.5430/ijhe.v8n6p85

Mutiarani, A., & Sofyan, D. (2022). Kemampuan komunikasi matematis siswa pada materi persamaan dan fungsi kuadrat berdasarkan gender di desa sukamenak. PowerMathEdu, 01(01), 1–14. https://doi.org/10.31980/powermathedu.v1i1.1911

Narpila, S. D. (2019). Perbedaan Kecerdasan Spasial Antara Siswa Laki-Laki dan Siswa Perempuan Kelas X SMA YPK Medan pada Materi Geometri. Jurnal PRINSIP Pendidikan Matematika, 2(1), 34–41. https://doi.org/10.33578/prinsip.v2i1.39

Negara, H. R. P., Wahyudin, Nurlaelah, E., & Herman, T. (2022). Improving Students ’ Mathematical Reasoning Abilities Through Social Cognitive Learning Using GeoGebra. International Journal of Emerging Technologies in Learning i(JET), 12(18), 118–135. https://doi.org/10.3991/ijet.v17i18.32151

OECD. (2018). PISA 2015 results in focus OECD. OECD Publishing. https://www.oecd.org/pisa/pisa-2015-results-in-focus.pdf

Öztürk, M., & Sarikaya, İ. (2021). The relationship between the mathematical reasoning skills and video game addiction of Turkish middle schools students: A serial mediator model. Thinking Skills and Creativity, 40(1), 1–11. https://doi.org/10.1016/j.tsc.2021.100843

Patricia, A. (2020). College Students’ Use and Acceptance of Emergency Online Learning Due to COVID-19. International Journal of Educational Research Open, 1(1), 1–33. https://doi.org/10.1016/j.ijedro.2020.100011

Ping, Y., Young, J., Tzur, R., & Si, L. (2020). The impact of a conceptual model-based mathematics computer tutor on multiplicative reasoning and problem-solving of students with learning disabilities. Journal of Mathematical Behavior, 58(1), 1–13. https://doi.org/10.1016/j.jmathb.2020.100762

Putri, N. W. S., & Wardika, I. W. G. (2020). Implementation TANDUR Learning Using GeoGebra Towards Student Learning Result Viewed from Independence Learning. JTAM (Jurnal Teori Dan Aplikasi Matematika), 4(2), 115. https://doi.org/10.31764/jtam.v4i2.2384

Ramadhani, R. (2022). Exploration of Students’ Statistical Reasoning Ability in the Context of Ethnomathematics: A Study of the Rasch Model. Mathematics Teaching-Research Journal, 14(1), 138–168. https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85130013671&origin=inward

Sandy, W. R., Inganah, S., & Jamil, A. F. (2019). The analysis of students’ mathematical reasoning ability in completing mathematicalproblems on geometry. Mathematics Education Journals, 3(1), 72–79. https://doi.org/10.22219/mej.v3i1.8423

Santosa, F. H., Bahri, S., Negara, H. R. P., & Ahmad, A. (2022). Kemampuan pemahaman konsep berdasarkan self-efficacy matematis dan gender dalam situasi problem-based learning. Journal of Didactic Mathematics, 3(3), 120–129. https://doi.org/10.34007/jdm.v3i3.1620

Stoet, G., & Geary, D. C. (2020). Gender differences in the pathways to higher education. Proceedings of the National Academy of Sciences of the United States of America, 117(25), 14073–14076. https://doi.org/10.1073/pnas.2002861117

Sumartini, T. S. (2015). Peningkatan Kemampuan Penalaran Matematis Siswa melalui Pembelajaran Berbasis Masalah. Jurnal Pendidikan Matematika, 5(1), 1–10. https://journal.institutpendidikan.ac.id/index.php/mosharafa/article/view/mv4n1_1

Suparman, S., Tamur, M., Yunita, Y., Wijaya, T. T., & Syaharuddin, S. (2021). Using Problem-Based Learning to Enhance Mathematical Abilities of Primary School Students: A Systematic Review and Meta-Analysis. JTAM (Jurnal Teori Dan Aplikasi Matematika), 5(1), 144. https://doi.org/10.31764/jtam.v5i1.3806

Susanti, N., Juandi, D., & Tamur, M. (2020). The Effect of Problem-Based Learning (PBL) Model On Mathematical Communication Skills of Junior High School Students – A Meta-Analysis Study. JTAM (Jurnal Teori Dan Aplikasi Matematika), 4(2), 145. https://doi.org/10.31764/jtam.v4i2.2481

Syuhriyah, K., S’dijah, C., & Subanji. (2021). Proses Berpikir Siswa Perempuan Bergaya Kognitif Intuitif Dalam Menyelesaikan Masalah Matematika. Jurnal Pendidikan: Teori, Penelitian, Dan Pengembangan, 6(4), 593–599. https://doi.org/10.17977/jptpp.v6i4.14721

Tarigan, I. M., Simanjorang, M. M., & Siagian, P. (2022). Analisis Kemampuan Pemecahan Masalah Matematis Siswa Ditinjau dari Perbedaan Gender di SMP N 1 Kuta Buluh. Jurnal Cendekia: Jurnal Pendidikan Matematika, 06(03), 2984–2998. https://doi.org/10.31004/cendekia.v6i3.1791

TIMSS. (2015). TIMSS International result in mathematics. TIMSS & PIRLS International Study Center. https://timssandpirls.bc.edu/timss2015/international-results/wp-content/uploads/filebase/full pdfs/T15-International-Results-in-Mathematics.pdf

Tong, L. C., Rosli, M. S., & Saleh, N. S. (2022). Enhancing HOTS using problem-based learning and digital game in the context of Malaysian primary school. International Journal of Interactive Mobile Technologies, 16(02), 101–112. https://doi.org/10.3991/ijim.v16i02.27677

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2023-07-17

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Vol. 7 No. 3 (2023): July

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