Exploring the Influence of Learning Difficulties and Self-Directed Learning on Problem-Solving Ability in Elementary School Students: The Mediating Impact of Mathematical Disposition

Silvi Fitria Rahmawati, Rihab Wit Daryono, Annisa Dwi Kurniawati

Abstract


Mathematical disposition can help students overcome difficulties in learning mathematics more effectively. With the mediation of mathematical disposition, the positive influence of self-directed learning can more easily lead to increased students' problem-solving abilities. This research aims to explore the role of mathematical disposition as a mediator in influencing learning difficulties and self-directed learning on problem-solving abilities. The survey method was used to collect data based on probability sampling from 32 students from class 5 at MI Ma'arif Patihan Wetan. Data collection was carried out using a questionnaire consisting of a Likert scale with 4 alternative answers. PLS-SEM analysis was used to analyze data and test and evaluate the construction of variables measuring problem-solving abilities. The results of the analysis show that problem-solving abilities are not significantly influenced by learning difficulties (β=0.000; ρ=0.998) and self-directed learning (β=0.000; ρ=0.061). In addition, mathematical disposition was proven to mediate the influence of learning difficulties (β=0.443; ρ=0.000) and self-directed learning (β=0.214; ρ=0.286) on problem-solving abilities. These findings highlight the importance of mathematical disposition in facilitating problem-solving abilities through learning difficulties and self-directed learning. The practical implication of this research is the need for a holistic approach in developing a positive attitude towards mathematics as an integral part of the learning approach. This research supports efforts to provide a learning environment that supports, motivates, and encourages students to develop positive mathematical dispositions. As well as emphasizing the development of metacognitive skills and utilizing learning technology to facilitate interaction and collaboration between students in exploring mathematical concepts.

Keywords


learning difficulties, mathematical disposition, PLS-SEM, problem-solving ability, self-directed learning.

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References


Aini, H., & Khuzaini, N. (2024). The influence of mathematical disposition on high school students’ understanding of mathematical concepts. Union: Jurnal Ilmiah Pendidikan Matematika, 12(1), Article 1. https://doi.org/10.30738/union.v12i1.17023

Amaliyah, F., Sukestiyarno, Y. L., & Asikin, M. (2021). Mathematical Problem Solving Ability in Self-Directed Learning with Module From Studentsâ€TM Self-Regulated Learning. Unnes Journal of Mathematics Education Research, 10(A), Article A. https://journal.unnes.ac.id/sju/ujmer/article/view/43086

Amidi, Zahrona, S. Z., & Chaniago, A. F. (2021). The influence of self-directed learning on mathematical problem solving ability in problem-based learning with ethnomathematics nuances. Journal of Physics: Conference Series, 1918(4), 042121. https://doi.org/10.1088/1742-6596/1918/4/042121

Apriliani, F. D., Widihastuti, Daryono, R. W., Jaya, D. J., & Rizbudiani, A. D. (2023). The Influence of Fashion Knowledge, Fashion Selection Factor, and Dress Etiquette on Dress Look. Jurnal Pendidikan Dan Pengajaran, 56(1), Article 1. https://doi.org/10.23887/jpp.v56i1.53677

Ardi, Z., Rangka, I. B., Ifdil, I., Suranata, K., Azhar, Z., Daharnis, D., Afdal, A., & Alizamar, A. (2019). Exploring the elementary students learning difficulties risks on mathematics based on students mathematic anxiety, mathematics self-efficacy and value beliefs using rasch measurement. Journal of Physics: Conference Series, 1157(3), 032095. https://doi.org/10.1088/1742-6596/1157/3/032095

Ariani, D. N., Sumantri, M. S., & Wibowo, F. C. (2022). The Impact of Android Module-Based Inquiry Flipped Classroom Learning on Mathematics Problem Solving and Creative Thinking Ability. International Journal of Interactive Mobile Technologies (iJIM), 16(24), Article 24. https://doi.org/10.3991/ijim.v16i24.35749

Athikah, A., Kamid, K., & Haryanto, H. (2023). The Influence of the Application of Discovery Learning and Problem Based Learning Models on Mathematical Creative Thinking Abilities Viewed from the Self-Directed Learning of SMK. PRISMA, 12(2), Article 2. https://doi.org/10.35194/jp.v12i2.3385

Bishara, S. (2021). The cultivation of self-directed learning in teaching mathematics. World Journal on Educational Technology: Current Issues, 13(1), 82–95. https://www.ceeol.com/search/article-detail?id=959516

Dagdag, J. D., & Calimag, N. A. (2023). Scale development and investigation of self-directed learning readiness in Mathematics among Filipino college students. Journal of Research, Policy & Practice of Teachers and Teacher Education, 13(1), Article 1. https://doi.org/10.37134/jrpptte.vol13.1.5.2023

Dagdag, J. D., Palapuz, N. A., & Calimag, N. A. (2021). Predictive ability of problem-solving efficacy sources on mathematics achievement. International Journal of Evaluation and Research in Education (IJERE), 10(4), Article 4. https://doi.org/10.11591/ijere.v10i4.21416

Darwani, D., Abidin, Z., & Hardisa, R. (2023). Description of Procedural Fluency and Productive Mathematical Disposition of Middle School Students. Al Khawarizmi: Jurnal Pendidikan Dan Pembelajaran Matematika, 7(1), Article 1. https://doi.org/10.22373/jppm.v7i1.18877

Daryono, R. W., Hariyanto, V. L., Usman, H., & Sutarto, S. (2020). Factor analysis: Competency framework for measuring student achievements of architectural engineering education in Indonesia. REID (Research and Evaluation in Education), 6(2), Article 2. https://doi.org/10.21831/reid.v6i2.32743

Daryono, R. W., Hidayat, N., Nurtanto, M., & Fu’adi, A. (2024). The development of a competency framework for architectural engineering graduates: Perspectives by the construction industry in Indonesia. Journal of Technology and Science Education, 14(2), Article 2. https://doi.org/10.3926/jotse.1986

Daryono, R. W., Ramadhan, M. A., Kholifah, N., Isnantyo, F. D., & Nurtanto, M. (2023). An empirical study to evaluate the student competency of vocational education. International Journal of Evaluation and Research in Education (IJERE), 12(2), Article 2. https://doi.org/10.11591/ijere.v12i2.22805

Ding, Y., Liu, R.-D., Hong, W., Yu, Q., Wang, J., Liu, Y., & Zhen, R. (2021). Specific Mental Arithmetic Difficulties and General Arithmetic Learning Difficulties: The Role of Phonological Working Memory. Psychological Reports, 124(2), 720–751. https://doi.org/10.1177/0033294120916865

Fauzan, A., Triyono, M. B., Hardiyanta, R. A. P., Daryono, R. W., & Arifah, S. (2023). The Effect of Internship and Work Motivation on Students’ Work Readiness in Vocational Education: PLS-SEM Approach. Journal of Innovation in Educational and Cultural Research, 4(1), Article 1. https://doi.org/10.46843/jiecr.v4i1.413

Gumilang, E. S., Martini, T., & Budiana, D. (2022). Self-regulated learning based-STEM model: How it impacts students’ self-directed learning in physical education classes. Journal Sport Area, 7(3), Article 3. https://doi.org/10.25299/sportarea.2022.vol7(3).10550

Gunawan, M., & Yuspriati, D. N. (2024). Analysis of Mathematical Problem Solving Ability of XI Class Vocational Students on Composition Function Material. (JIML) JOURNAL OF INNOVATIVE MATHEMATICS LEARNING, 7(1), Article 1. https://doi.org/10.22460/jiml.v7i1.19360

Hariyanto, V. L., Daryono, R. W., Hidayat, N., Prayitno, S. H., & Nurtanto, M. (2022). A framework for measuring the level of achievement of vocational students competency of architecture education. Journal of Technology and Science Education, 12(1), Article 1. https://doi.org/10.3926/jotse.1188

Hershcovits, H., Vilenchik, D., & Gal, K. (2020). Modeling Engagement in Self-Directed Learning Systems Using Principal Component Analysis. IEEE Transactions on Learning Technologies, 13(1), 164–171. https://doi.org/10.1109/TLT.2019.2922902

Hidayanthi, R., Fitria, Y., Syarifuddin, H., & Miaz, Y. (2022). Elementary School Students’ Mathematical Disposition Ability Oriented with STEAM Approach. International Journal of Elementary Education, 6(4), Article 4. https://doi.org/10.23887/ijee.v6i4.54086

Katuuk, R. C., Sumarauw, S. J. A., & Pulukadang, R. J. (2024). Problem Solving Ability of Remboken 1 Middle School Students in Solving Story Problems in Algebraic Form Based on Polya’s Steps. Journal of Education Research, 5(1), Article 1. https://doi.org/10.37985/jer.v5i1.691

Man, Y. L., Hidayah, I., & Adhi, N. R. D. N. (2023). The Influence of Self-Directed Learning Assisted by Modules on Mathematical Literacy in Terms of Students’ Learning Independence. Al Khawarizmi: Jurnal Pendidikan Dan Pembelajaran Matematika, 7(2), Article 2. https://doi.org/10.22373/jppm.v7i2.21079

Marisa, R., Santi, Y., Yeni, E. M., & Nirmala, S. D. (2023). DISPOSITION ANALYSIS OF ELEMENTARY SCHOOL STUDENTS IN MATHEMATICAL PROBLEM SOLVING. Primary: Jurnal Pendidikan Guru Sekolah Dasar, 12(1), Article 1. https://doi.org/10.33578/jpfkip.v12i1.9588

Mawardin, M., Adiansha, A. A., Mulyadin, M., & Nurgufriani, A. (2023). Correlation Study: Self-Concept and Mathematical Disposition on Learning Outcomes of Elementary School Students. Journal of Insan Mulia Education, 1(1), Article 1. https://doi.org/10.59923/joinme.v1i1.6

Muhammad, M., Purwanto, J., & Abida, R. (2021). Potential solving mathematical problem students focused on self-directed learning in COVID-19 pandemic. Journal of Physics: Conference Series, 1778(1), 012035. https://doi.org/10.1088/1742-6596/1778/1/012035

Mustafa, D., Mustafa, I. G., Zriqat, S., & AlThebyan, Q. (2022). Smart Assistive 3D Tool to Remedy Children’s Learning Difficulties for Distance Education. 2022 International Arab Conference on Information Technology (ACIT), 1–5. https://doi.org/10.1109/ACIT57182.2022.9994172

Nurlina, A., Hendriana, H., Fitrianna, A. Y., & Afrilianto, M. (2024). Implementation of Scientific Approach to Increasing Junior High School Students’ Mathematical Problem Solving Ability. (JIML) JOURNAL OF INNOVATIVE MATHEMATICS LEARNING, 7(1), Article 1. https://doi.org/10.22460/jiml.v7i1.18777

Nurrahmah, A., Agustina, L., & Nurhayati, N. (2021). Students Abstract Thinking Abilities in terms of Mathematical Disposition. Al-Jabar : Jurnal Pendidikan Matematika, 12(1), Article 1. https://doi.org/10.24042/ajpm.v12i1.8652

Pokhrel, M., Sharma, L., Poudel, M. P., Sharma, L., & Luitel, S. (2024). Empowering Students through a Self-Directed Learning Pedagogy in Mathematics Education. Communications on Applied Nonlinear Analysis, 31(1), Article 1. https://doi.org/10.52783/cana.v31.409

Purnawan, D. (2022). Analysis and Methods of Overcoming Mathematics Learning Difficulties in Elementary School Students: Literature Review. Social, Humanities, and Educational Studies (SHES): Conference Series, 4(5), Article 5. https://doi.org/10.20961/shes.v4i5.66201

Putra, K. A. J., Triyono, M. B., & Daryono, R. W. (2022). The Influence of Entrepreneurship Competency and Leadership Challenge to Principals’ Leadership Solutions. Jurnal Pendidikan Dan Pengajaran, 55(2), Article 2. https://doi.org/10.23887/jpp.v55i2.43711

Safitri, M., Suryani, N., Asrowi, & Sukarmin. (2024). Validity of Metacognitive Awareness Inventory as A Measuring Tool for Metacognitive Ability in Mathematics Problem Solving. Journal of Law and Sustainable Development, 12(1), e2246–e2246. https://doi.org/10.55908/sdgs.v12i1.2246

Saputra, H. (2022). The Effect of Using Geogebra Assisted STAD Type Learning Model on Problem Solving Ability and Mathematical Disposition. Al-Madrasah: Jurnal Ilmiah Pendidikan Madrasah Ibtidaiyah, 6(3), Article 3. https://doi.org/10.35931/am.v6i3.1028

Setiawan, Y. E., & Surahmat. (2023). The Effect of Mathematical Disposition on Basic Mathematical Abilities in the Online Learning. Journal of Education Research and Evaluation, 7(2), Article 2. https://doi.org/10.23887/jere.v7i2.58437

Shanta, S., & Wells, J. G. (2022). T/E design based learning: Assessing student critical thinking and problem solving abilities. International Journal of Technology and Design Education, 32(1), 267–285. https://doi.org/10.1007/s10798-020-09608-8

Sholihah, N., Iklimatunnajah, I., Hartanti, F. D., & Pitriyani, P. (2023). Identification of Student Learning Difficulties Based on Self, Environment, and Family Aspects in Learning Mathematics at the Elementary School Level. Educational Insights, 1(1), Article 1. https://eduinsights.id/index.php/eduinsights/article/view/2

Simbolon, A., Mangiri, G. R. P., & Dasari, D. (2024). The Influence of the Anchored Instruction (AI) Model on Students’ Mathematical Problem Solving Ability. Jurnal Padegogik, 7(1), Article 1. https://doi.org/10.35974/jpd.v7i1.3266

Sukardjo, M., & Salam, M. (2020). Effect of Concept Attainment Models and Self-Directed Learning (SDL) on Mathematics Learning Outcomes. International Journal of Instruction, 13(3), 275–292. https://eric.ed.gov/?id=EJ1259428

Sulistyani, D., Subekti, E. E., & Wardana, M. Y. S. (2021). Students’ Learning Difficulties Review from Mathematics Problem-Solving Ability in Third-Grade Elementary School. Indonesian Journal of Educational Research and Review, 4(2), Article 2. https://doi.org/10.23887/ijerr.v4i2.30310

Supriyanto, S., Munadi, S., Daryono, R. W., Tuah, Y. A. E., Nurtanto, M., & Arifah, S. (2022). The Influence of Internship Experience and Work Motivation on Work Readiness in Vocational Students: PLS-SEM Analysis. Indonesian Journal on Learning and Advanced Education (IJOLAE), 5(1), Article 1. https://doi.org/10.23917/ijolae.v5i1.20033

Suratman, S. (2023). Building Madrasah Committee Synergy in Managing Effective and Resilient Skills Programs. Al-Tanzim: Jurnal Manajemen Pendidikan Islam, 7(1), Article 1. https://doi.org/10.33650/al-tanzim.v7i1.4614

Thompson, P. W., & Harel, G. (2021). Ideas foundational to calculus learning and their links to students’ difficulties. ZDM – Mathematics Education, 53(3), 507–519. https://doi.org/10.1007/s11858-021-01270-1

Tiara, T., Sukestiyarno, Y. L., & Mulyono, M. (2024). The Mathematical Problem-Solving Ability through the Search, Solve, Create and Share (SSCS) Learning Model. Edunesia : Jurnal Ilmiah Pendidikan, 5(1), Article 1. https://doi.org/10.51276/edu.v5i1.720

Ulya, H., & Rahayu, R. (2021). Mathematical Disposition of Students in Open-Ended Learning Based on Ethnomathematics. Journal of Education Technology, 5(3), Article 3. https://doi.org/10.23887/jet.v5i3.33535

Widayanto, L. D., Soeharto, S., Sudira, P., Daryono, R. W., & Nurtanto, M. (2021). Implementation of the Education and Training Program seen from the CIPPO Perspective. Journal of Education Research and Evaluation, 5(4), Article 4. https://doi.org/10.23887/jere.v5i4.36826

Widyastuti, P., Hadi, S., Daryono, R. W., & Samad, N. B. A. (2023). The Mediation Role of University Environment in the Relationship between Self-Efficacy and Family Environment on Entrepreneurial Education Interest: A PLS-SEM Approach. Indonesian Journal on Learning and Advanced Education (IJOLAE), 5(3), Article 3. https://doi.org/10.23917/ijolae.v5i3.22015

Woodcock, S., & Moore, B. (2021). Inclusion and students with specific learning difficulties: The double-edged sword of stigma and teacher attributions. Educational Psychology, 41(3), 338–357. https://doi.org/10.1080/01443410.2018.1536257

Zhou, D., Du, X., Hau, K.-T., Luo, H., Feng, P., & Liu, J. (2020). Teacher-student relationship and mathematical problem-solving ability: Mediating roles of self-efficacy and mathematical anxiety. Educational Psychology, 40(4), 473–489. https://doi.org/10.1080/01443410.2019.1696947

Zulaiha, S. (2021). THE EFFECT OF GEOGEBRA-AIDED PROBLEM BASED INSTRUCTION MODEL AND MATHEMATICAL DISPOSITION ON PROBLEM SOLVING ABILITY. International Journal of Learning and Instruction (IJLI), 3(1), 40–44. https://doi.org/10.26418/ijli.v3i1.44657




DOI: https://doi.org/10.18860/mad.v17i1.27221

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