Student’s Mathematical Problem Solving Skills and Self-Efficacy on Word Problems through Technology-Based Learning
DOI:
https://doi.org/10.32938/jpm.v7i2.10322Keywords:
mathematical problem solving, self-efficacy, word problems, synchronous learning, asynchronous learningAbstract
Students’ ability to solve mathematical word problems is closely linked to their mathematical problem-solving skills and self-efficacy. This study examines the influence of two technology-based learning approaches—synchronous learning (via Zoom and Google Meet) and asynchronous learning (via WhatsApp)—on students' problem-solving performance and self-efficacy levels. The research involved 27 seventh-grade students in Bandung and employed a mixed-method design with an explanatory sequential approach. The findings revealed a strong relationship between the type of technology-mediated learning and students’ self-efficacy in mathematical problem solving. Students who engaged in synchronous learning demonstrated better performance in interpreting problems, developing strategies, and justifying solutions compared to those who used asynchronous methods. Learners with moderate to high self- efficacy consistently outperformed those with low self-efficacy, particularly in identifying relevant information, making conjectures, and generalizing patterns. In contrast, students with low self-efficacy showed difficulties in solving word problems and exhibited limited use of key processes in problem solving. These results emphasize the importance of aligning instructional approaches with students' self-efficacy levels and providing structured support for students involved in asynchronous learning to strengthen their mathematical problem-solving abilities.
References
Adedoyin, O. B., & Soykan, E. (2020). Covid-19 pandemic and online learning: the challenges and opportunities. Interactive Learning Environments, 31(2), 863–875. https://doi.org/10.1080/10494820.2020.1813180
Anderson, L., W., et al. (2001). A taxonomy for learning, teaching, and assessing : a revision of Bloom's taxonomy of educational objectives. USA: Addison Wesley Longman, Inc.
Argyle, S., F. (2012). Mathematical Thinking: from Cacophony to Consensus. Dissertation. Kent State University College and Graduate School of Education, Health, and Human Services.
Arianto, F., Bachri, B. S., & Mariono, A. (2022). Asynchronous dan Synchronous Learning pada Pendidikan Tinggi: Studi Komparasi. Jurnal Ilmiah Mandala Education, 8(4). 3008-3012. https://doi.org/10.36312/jime.v8i4.4067/http://ejournal.mandalanursa.org/index.php/JIME
Audi, R. (2004). Perception and Consciousness. Handbook of Epistemology. Springer Science Business Media Dordrecht.
Bandura, A. (1997). Self-efficacy: The exercise of control. New York: W.H. Freeman.
Bandura, A., & Schunk, D. H. (1981). Cultivating competence, self-efficacy, and intrinsic interest through proximal self-motivation. Journal of Personality and Social Psychology. 41. 586-598.
Creswell, J., W. (2012). Educational Research : Planning, Conducting, and Evaluating Quantitative and Qualitative Research. Pearson: Boston.
Creswell, J., W., Poth, C. N. (2018). Qualitative inquiry and research design: Choosing among five approaches. Sage Publications, Inc: California.
Depaepe, F., De Corte, E., & Verschaffel, L. (2015). Students’ nonrealistic mathematical modeling as a drawback of teachers’ beliefs about and approaches to word problem solving. From beliefs to dynamic affect systems in mathematics education. Exploring a mosaic of relationships and interactions. In B. Pepin & B. Roesken-Winter (Eds.). pp. 137–159. Cham: Springer.
Dorko, A. (2019). Generalization, Assimilation, and Accommodation. The Mathematics Educator, 28(2).
33–51.
Dwirahayu, G., Kustiawati, D., Bidari, I. (2018). Pengaruh Habits of Mind terhadap Kemampuan
Generalization Matematis. Jurnal Penelitian dan Pembelajaran Matematika, 11(2). 91-104.
Flick, U. (2009). An Introduction to Qualitative Research. SAGE Publications Ltd.
Fraenkel, J.R, Wallen, N., Hyun, H. (2012). How to Design and Evaluate Research in Education.
McGraw-Hill. New York.
Fyhn, A.B. (2008). A Climbing Class’ Reinvention of Angles. Educational Studies in Mathematics, 67(1).
19-35. Springer.
Gros, H., Thibaut, J.P., & Sander, E. (2020). Semantic Congruence in Arithmetic: A New Conceptual Model for Word Problem Solving. Educational Psychologist. 55. 1-19.
Hake, R. R. (1998). Interactive-engagement versus traditional methods: A six-thousand-student survey of mechanics test data for introductory physics courses. American Journal of Physics. 66(1), 64–74. https://doi.org/10.1119/1.18809
Hamilton, R., Ghatala, E. (1994). Learning and Instruction. McGraw-Hill, Inc. New York.
Hillocks, G. J., Shulman. (1999). Ways of Thinking, Ways of Teaching. London: Teacher College Press. Ivanova, C.R., et.al. (2020). Digital Practices & Applications in a Covid-19 Culture. Higher Education
Studies, 10(3). 80-87.
Koçoğlu, E., & Tekdal, D. (2020). Analysis of Distance Education Activities Conducted During COVID- 19 Pandemic. retain the copyright of this article. Academic Journals, 15(9). 536-543.
Kusuma, D. A., Noto, M. S., & Dwipriyoko, E. (2023). Hybrid Learning dalam Perkuliahan Matematika Kimia 1. JNPM (Jurnal Nasional Pendidikan Matematika), 7(2), 254–262. DOI: https://doi.org/10.33603/jnpm.v7i2.7934
Kusuma, J., K., Hamidah. (2020). Perbandingan Hasil Belajar Matematika dengan Penggunaan Strategi Whatsapp Group dan Webinar Zoom dalam Pembelajaran Jarak Jauh pada Masa Pandemik COVID-19. Jurnal Ilmiah Pendidikan Matematika. , 5(1), 97–106.
Lacey, A., Luff, D. (2001). Trent Focus for Research and Development in Primary Health Care: An Introduction to Qualitative Analysis. Trent Focus.
Lane, C.P. & Harkness, S.S. (2012). Game show mathematics: Specializing, conjecturing, generalizing, and Convincing. Journal of Mathematical Behavior, 31. 163– 173.
Leron, U. (2003). Origins of Mathematical Thinking: a Synthesis. European Research In Mathematics Education III.
Mairing, J. P., Rezeki, M., Aritonang, H., Lada, E.Y., & Langkis, L. (2022). Improving Students' Ability in Solving Mathematics Problems by Asynchronous and Synchronous Online Learning. Edumatica: Jurnal Pendidikan Matematika, 11(03). 132-142. https://doi.org/10.22437/edumatica.v11i03.15324
Martin, F., Swapna, K., Ritzhaupt, A., Polly, D. (2024). Bichronous online learning: Perspectives, best practices, benefits, and challenges from award-winning online instructors. Online Learning, Volume 28(2), (1-27). DOI: 10.24059/olj.v28i2.3945
Mason, J., Burton, L., Stacey, K. (2010). Thinking Mathematically. Pearson Education Limited.
Millar, A. (2000). The Scope of Perceptual Knowledge. Philosophy, 75(291). Cambridge University Press on behalf of Royal Institute of Philosophy.
Mulenga, E., M., & Marbán, J., M. (2020). Is COVID-19 the Gateway for Digital Learning in Mathematics Education?. Contemporary Educational Technology, 12(2). 269. CEDTECH.
Nepal, B. (2016). Relationship between Mathematical Thinking and Mathematics Achievement. IOSR Journal of Research & Method in Education (IOSR-JRME). 6(6). Ver. IV.
Orhani, S. (2024). Synchronous and Asynchronous Teaching Tools during Online Learning in the Subject of Mathematics. TWIST, 19(1), 292–300. https://doi.org/10.5281/zenodo.10049652#93
Pardimin. (2018). Self-efficacy Matematika dan Self-efficacy Mengajar Matematika Guru Matematika.
Jurnal Ilmu Pendidikan, 24(1). 29-37.
Parker, P. D., et. al. (2014). Juxtaposing math self-efficacy and self-concept as predictors of long-term achievement outcomes. Educational Psychology, 34:1, 29-48, DOI: 10.1080/01443410.2013.797339
Patton, M. Q. (2015). Qualitative Research & Evaluation Methods: Integrating Theory and Practice (4th ed.). SAGE Publications.
Pinter, H., H., et.al. (2017). The Importance of Structure, Clarity, Representation, and Language in Elementary Mathematics Instruction. Investigation in Mathematic Learning, 10.
Polya, G. (1957). How to solve it: A new aspect of mathematical method (2nd ed.). Princeton, NJ: Princeton University Press.
Pongsakdi, N., et al. (2019). What makes mathematical word problem solving challenging? Exploring the roles of word problem characteristics, text comprehension, and arithmetic skills. ZDM Mathematics Education. 33–44.
Serhan, D. (2020). Transitioning from Face-to-Face to Remote Learning: Students’ Attitudes and Perceptions of using Zoom during COVID-19 Pandemic. International Journal of Technology in Education and Science, 4(4), 335–342. DOI: 10.46328/ijtes.v4i4.148
Spindler, R. (2020). Aligning Modeling Projects with Bloom's Taxonomy. PRIMUS. 30:5. 601-616. DOI: 10.1080/10511970.2019.1619208.
Stacey, K. (2006). What Is Mathematical Thinking And Why Is It Important? in Progress report of the APEC project: “Colaborative Studies on Innovations for Teaching and Learning Mathematics in Diferent Cultures (II)-Lesson Study focusing on Mathematical Thinking”, Tokyo: CRICED, University of Tsukuba.
Sunaryo, Y. (2017). Pengukuran Self-efficacy Siswa dalam Pembelajaran Matematika di MtsN 2 Ciamis.
Teori dan Riset Matematika (TEOREMA), 1(2).
Suryani, L., Seto, S.,B., & Bantas, M. (2020). Hubungan Efikasi Diri dan Motivasi Belajar Terhadap Hasil Belajar Berbasis Elearning Pada Mahasiswa Program Studi Pendidikan Matematika Universitas Flores. Jurnal Kependidikan: Jurnal Hasil Penelitian dan Kajian Kepustakaan di Bidang Pendidikan, Pengajaran dan Pembelajaran, 6(2). 275-283.
Tall, D. (2009). The Development of Mathematical Thinking: Problem-Solving and Proof. researchgate. Usher, E. L., & Pajares, F. (2009). Sources of self-efficacy in mathematics: A validation study.
Contemporary Educational Psychology, 34(1), 89–101.
https://doi.org/10.1016/j.cedpsych.2008.09.002
Verschaffel, L., Schukajlow, S., Star, J., & Van Dooren, W. (2020). Word problems in mathematics education: a survey. ZDM Mathematics Education. 52. 1-16.
Wintarti A., dkk. (2008). Contextual Teaching and Learning Matematika: Sekolah Menengah Pertama/Madrasah Tsanawiyah Kelas VII Edisi 4. Pusat Perbukuan, Departemen Pendidikan Nasional.
Yildiz, A. (2023). Comparison of Problem-Posing Self-Efficacy Beliefs among Mathematics Teachers in Science and Art Centres (SAC) and State Schools. Shanlax International Journal of Education, 12(1), 21–31. https://doi.org/10.34293/education.v12i1.6836
Yıldız, P., Özdemir, İ., E., Y. (2019). Mathematics self-efficacy beliefs and sources of self-efficacy: A Descriptive Study with two Elementary School Students. International Journal of Progressive Education, 15(3). 194-206.
Zhou, D., et.al. (2019): Teacher-student relationship and mathematical problem-solving ability: mediating roles of self-efficacy and mathematical anxiety. Educational Psychology. DOI: 10.1080/01443410.2019.1696947.
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