Scaffolding through cognitive mapping based on diagnosing students difficulties in solving problem

Year 2022, Volume 10, Issue 2, 207 - 220, 30.06.2022

Buhaerah BUHAERAH Muhammad NASİR Kamarusaman JUSOFF

https://doi.org/10.17478/jegys.1099807

Abstract

This study shows the diagnosis of difficulties faced by students when solving problems with a system of linear equations with three variables and efforts to overcome them by providing scaffolding interventions. The approach used in this study is qualitative. The sample selection using a purposive sampling technique was made by giving three math problems, the topic of a system of linear equations with two variables, then three students were selected to be the research subjects. The selection of students is determined based on the category of communication skills and low, medium, or high mathematical abilities. The research data were obtained from 3 sources: test sheets, semi-structured interviews, and the results of student work after scaffolding was given. Several research results show students' difficulties in solving three-variable linear equation systems problems based on Polya-based cognitive mapping: first, the difficulty in understanding the problem. This difficulty arises because of mental holes that students should not have at grade levels, such as knowledge of fractions, algebra, basic concepts of triangles, and others. Second: Difficulty compiling a solution. This can be seen when students cannot correctly model contextual problems into mathematical models. Third, the implementation of the complete plan can be identified through students' mistakes when performing arithmetical algebraic operations and applying appropriate mathematical rules/principles, the leading cause of which can occur due to inaccuracy and misconceptions about mathematical concepts. The researchers tried to overcome these problems by providing Level 2 scaffolding with the techniques proposed by Angirelli, including (explaining, reviewing, and restructuring).

Keywords

Scaffolding, Cognitive, Mapping, Diagnosing

Abstract

References

• Awadelkarim, A. A. (2021). An analysis and insight into the effectiveness of scaffolding: EFL instructors’/teachers’ perceptions and attitudes. Journal of Language and Linguistic Studies, 17(2). https://doi.org/10.52462/jlls.58
• Błazik-Borowa, E., Jamińska-Gadomska, P., & Pieńko, M. (2020). Influence of foundation quality on the stress in the elements of steel façade scaffolding. Buildings, 10(7). https://doi.org/10.3390/buildings10070130
• Blinder, S. M. (2013). Mathematical Thinking. In Guide to Essential Math (pp. 1–16). https://doi.org/10.1016/B978-0-12-407163-6.00001-1
• Boote, S. K., & Boote, D. N. (2018). ABC problem in elementary mathematics education: Arithmetic before comprehension. Journal of Mathematics Teacher Education, 21(2), 99–122. https://doi.org/10.1007/s10857-016-9350-2
• Brenner, M. Y. (2010). Art based Learning and Leadership Development: A Case Studi.
• Buchori, A., & Cintang, N. (2018). The Influence of Powtoon-Assisted Group to Group Exchange and Powtoon-Assisted Talking Chips Learning Models in Primary Schools. International Journal of Evaluation and Research in Education (IJERE), 7(3). https://doi.org/10.11591/ijere.v7i3.14378
• Cho, M. K., & Kim, M. K. (2020). Investigating elementary students’ problem solving and teacher scaffolding in solving an Ill-structured problem. International Journal of Education in Mathematics, Science and Technology, 8(4). https://doi.org/10.46328/IJEMST.V8I4.1148
• Deaver, S. P. (2012). Art-Based Learning Strategies in Art Therapy Graduate Education. Art Therapy, 29(4), 158–165. https://doi.org/10.1080/07421656.2012.730029
• Gordon, R., & Ramani, G. B. (2021). Integrating Embodied Cognition and Information Processing: A Combined Model of the Role of Gesture in Children’s Mathematical Environments. In Frontiers in Psychology (Vol. 12). https://doi.org/10.3389/fpsyg.2021.650286
• Hulsbosch, M. (2010). Multicultural education through arts-based learning and teaching. Multicultural Education Review, 2(2), 85–101. https://doi.org/10.1080/2005-615X.2010.11102876
• Kurniawan, C., Setyosari, P., Kamdi, W., & Ulfa, S. (2019). Classification of Engineering Students’ Self-Efficacy Towards Visual-Verbal Preferences Using Data Mining Methods. Problems of Education in the 21st Century, 77(3), 349–363. https://doi.org/10.33225/pec/19.77.349
• Lutfianto, M., Zulkardi, & Hartono, Y. (2013). Unfinished student answer in Pisa mathematics contextual problem. Journal on Mathematics Education, 4(2), 188–193. https://doi.org/10.22342/jme.4.2.552.188-193
• Martins, L. B., Zerbini, T., & Medina, F. J. (2019). Impact of online training on behavioral transfer and job performance in a large organization. Revista de Psicologia Del Trabajo y de Las Organizaciones, 35(1). https://doi.org/10.5093/jwop2019a4
• Milara, I. S., Pitkänen, K., Laru, J., Iwata, M., Orduña, M. C., & Riekki, J. (2020). STEAM in Oulu: Scaffolding the development of a Community of Practice for local educators around STEAM and digital fabrication. International Journal of Child-Computer Interaction, 26. https://doi.org/10.1016/j.ijcci.2020.100197
• Nutbrown, C. (2013). Conceptualising Arts-based Learning in The Early Years. Research Papers in Education, 28(2), 239–263. https://doi.org/10.1080/02671522.2011.580365
• Parno, Yuliati, L., Munfaridah, N., Ali, M., Rosyidah, F. U. N., & Indrasari, N. (2020). The effect of project based learning-STEM on problem solving skills for students in the topic of electromagnetic induction. Journal of Physics: Conference Series, 1521(2). https://doi.org/10.1088/1742-6596/1521/2/022025
• Parno, Zulaikah, S., Rosyidah, F. U. N., & Ali, M. (2021). Faraday flashlight project-based STEM to enhance problem-solving skill of students. Journal of Physics: Conference Series, 1806(1). https://doi.org/10.1088/1742-6596/1806/1/012029
• Prayitno, A. (2018). Characteristics of Students’ Critical Thinking In Solving Mathematics Problem. The Online Journal of New Horizons in Education, 8(1), 46–55. https://www.researchgate.net/publication/322977638
• Putranta, H., & Jumadi, J. (2019). Physics Teacher Efforts of Islamic High School in Yogyakarta to Minimize Students’ Anxiety When Facing the Assessment of Physics Learning Outcomes. Journal for the Education of Gifted Young Scientists, 7(2), 119–136. https://doi.org/10.17478/jegys.552091
• Ramirez, G., Chang, H., Maloney, E. A., Levine, S. C., & Beilock, S. L. (2016). On the relationship between math anxiety and math achievement in early elementary school: The role of problem solving strategies. Journal of Experimental Child Psychology. https://doi.org/10.1016/j.jecp.2015.07.014
• Rosydiana, A.-. (2017). Analisis Kemampuan Siswa Dalam Menyelesaikan Soal Cerita Berdasarkan Langkah Pemecahan Masalah Polya. Mathematics Education Journal, 1(1), 54. https://doi.org/10.22219/mej.v1i1.4550
• Springborg, C., & Ladkin, D. (2018). Realising the Potential of Art-Based Interventions in Managerial Learning: Embodied Cognition as an Explanatory Theory. Journal of Business Research, 85(April), 532–539. https://doi.org/10.1016/j.jbusres.2017.10.032
• Surya, E., & Syahputra, E. (2017). Improving High-Level Thinking Skills by Development of Learning PBL Approach on the Learning Mathematics for Senior High School Students. International Education Studies, 10(8), 12. https://doi.org/10.5539/ies.v10n8p12
• Thinking, C. (2015). Critical Thinking and Problem-Solving for the 21st Century Learner. NYSUT’s Journal of Best Practices in Education, VIII(Spring).
• Thomas, G. L., Bailey, J., & Engeness, I. (2021). Scaffolding athlete learning in preparation for competition: what matters. Sports Coaching Review. https://doi.org/10.1080/21640629.2021.1991713
• Widana, I. W. (2018). Higher Order Thinking Skills Assessment towards Critical Thinking on Mathematics Lesson. International Journal of Social Sciences and Humanities (IJSSH), 2(1), 24–32. https://doi.org/10.29332/ijssh.v2n1.74
• Yuwono, T., Supanggih, M., & Ferdiani, R. D. (2018). Analisis Kemampuan Pemecahan Masalah Matematika dalam Menyelesaikan Soal Cerita Berdasarkan Prosedur Polya. Jurnal Tadris Matematika, 1(2), 137–144. https://doi.org/10.21274/jtm.2018.1.2.137-144
• Zahara, M. N., Hendrayana, A., & Pamungkas, A. S. (2020). The Effect of Problem-based Learning Model Modified by Cognitive Load Theory on Mathematical Problem Solving Skills. Hipotenusa : Journal of Mathematical Society, 2(2). https://doi.org/10.18326/hipotenusa.v2i2.41-55