Investigating the Influence of Attitude, Prior Knowledge, and Critical Thinking on Solving Algebraic Equations
DOI:
https://doi.org/10.55927/fjmr.v3i6.9340Keywords:
Attitude, Prior, Knowledge, Critical ThinkingAbstract
This study looks into how students' abilities to solve algebraic problems are impacted by their attitude, past knowledge, and critical thinking. Despite being a fundamental mathematical skill, many students find it difficult to solve algebraic problems. A descriptive-correlational methodology was used in this study to assess respondents' performance as well as the factors that affect respondents' ability to solve algebraic equations and how those factors relate to respondents' performance. Although several students scored extremely low on equation-solving tests, the statistical analysis showed no discernible relationship between the components (critical thinking, attitude, and prior knowledge) and overall performance. These results point to the need for more research into the variables that can affect how well pupils solve algebraic equations.
Downloads
References
Agustyaningrum, N., Sari, R. N., Abadi, A. M., & Mahmudi, A. (2021, January 1). Dominant Factors that Cause Students’ Difficulties in Learning Abstract Algebra: A Case Study at a University in Indonesia. International Journal of Instruction, 14(1), 847–866. https://doi.org/10.29333/iji.2021.14151a
Ali, I. (2021, May 15). Factors Affecting Algebraic Problem-solving Skills of Secondary School Students. INTERNATIONAL JOURNAL OF EDUCATIONAL SCIENCES, 35(1–3). https://doi.org/10.31901/24566322.2021/35.1-3.1192
Allen, E., & Jevons, C. (2023, November 28). Prior knowledge as a limiting factor in critical thinking skills development. ASCILITE Publications, 275–280. https://doi.org/10.14742/apubs.2023.631
Alviar, J. V., & Gamorez, A. E. (2024, March 11). Effects of classroom response system on the achievement and knowledge retention of the students in mathematics. Cogent Education, 11(1). https://doi.org/10.1080/2331186x.2024.2323364
Annamalai, C. (2023). Method for Solving the Algebraic Equations of Combinatorial Geometric Series. SSRN Electronic Journal. https://doi.org/10.2139/ssrn.4333761
Aprildat, D., & Hakim, D. L. (2021, October 30). High School Students’ Algebraic Thinking Ability in Solving Linear Program ProblemsHigh School Students’ Algebraic Thinking Ability in Solving Linear Program Problems. Mathline : Jurnal Matematika Dan Pendidikan Matematika, 6(2), 222–237. https://doi.org/10.31943/mathline.v6i2.216
Brezavšček, A., Jerebic, J., Rus, G., & Žnidaršič, A. (2020, December 1). Factors Influencing Mathematics Achievement of University Students of Social Sciences. Mathematics, 8(12), 2134. https://doi.org/10.3390/math8122134
Cahyono, B., Kartono, Waluyo, B., & Mulyono. (2019, October 1). Analysis of critical thinking skills in solving problems algebra in terms of cognitive style and gender. Journal of Physics: Conference Series, 1321(2), 022115. https://doi.org/10.1088/1742-6596/1321/2/022115
Daches Cohen, L., Korem, N., & Rubinsten, O. (2021, December 5). Math Anxiety Is Related to Math Difficulties and Composed of Emotion Regulation and Anxiety Predisposition: A Network Analysis Study. Brain Sciences, 11(12), 1609. https://doi.org/10.3390/brainsci11121609
Dilşad Yakut, A. (2020, January 1). TEACHERS’ PERCEPTIONS OF STUDENTS WITH ADDITIONAL SUPPORT NEEDS. International Journal of Eurasian Education and Culture, 5(11), 1916–1953. https://doi.org/10.35826/ijoecc.260
Eryanti, I., Sallah, E. K., & Gakuba, E. (2022, March 31). Profiling students’ algebraic thinking ability in solving problems System Of Linear Equations Two Variables in vocational educational schools. International Journal of Progressive Mathematics Education, 2(1). https://doi.org/10.22236/ijopme.v2i1.8878
Fareeha Javed. (2024, March 14). Transformative Learning Strategies for Effective Teaching and Learning in Digitized Higher Education. Jurnal Pendidikan, 25(1), 14–19. https://doi.org/10.33830/jp.v25i1.7330.2024
Hertling, P. (2002, December). Topological Complexity of Zero Finding with Algebraic Operations. Journal of Complexity, 18(4), 912–942. https://doi.org/10.1006/jcom.2002.0648
Jeznik, K. (2022, March). Inclusiveness of Additional Support and Assistance for Students. Revija Za Elementarno Izobraževanje, 15(1), 71–90. https://doi.org/10.18690/rei.15.1.71-90.2022
Julius, E. (2022, October 6). The Relationship Between Self-Concept and Problem-Solving Skills on Students’ Attitude Towards Solving Algebraic Problems. Contemporary Mathematics and Science Education, 3(2), ep22020. https://doi.org/10.30935/conmaths/12509
KAYAN, S., & AYDIN, E. (2023, October 21). The Effect of Teaching Algebraic Expressions with Educational Games on Sixth-Grade Students’ Attitudes towards Mathematics. International E-Journal of Educational Studies, 7(15), 797–816. https://doi.org/10.31458/iejes.1347251
Lindorff, A., & Sammons, P. (2018, January 23). Going beyond structured observations: looking at classroom practice through a mixed method lens. ZDM, 50(3), 521–534. https://doi.org/10.1007/s11858-018-0915-7
Liu, Y., & Sun, K. (2020, May). Solving Power System Differential Algebraic Equations Using Differential Transformation. IEEE Transactions on Power Systems, 35(3), 2289–2299. https://doi.org/10.1109/tpwrs.2019.2945512
Mabena, N., Mokgosi, P. N., & Ramapela, S. S. (2021, June 10). FACTORS CONTRIBUTING TO POOR LEARNER PERFORMANCE IN MATHEMATICS: A CASE OF SELECTED SCHOOLS IN MPUMALANGA PROVINCE, SOUTH AFRICA. Problems of Education in the 21st Century, 79(3), 451–466. https://doi.org/10.33225/pec/21.79.451
Muhammad Khalil, Zahoor-ul-Haq. (2023, February 2). Concept Process with Mathematical Thinking Tools under the Domain of Piaget’s Theory of Cognitive Development. JCTE, 3. https://doi.org/10.58444/jcte.v3i.225
Nobis, M. (2021). Digital Literacy of Mathematics Teachers in State Universities and Colleges (SUCs). Asian Journal Of Research In Education And Social Sciences, 3(2), 99-113. Retrieved from https://myjms.mohe.gov.my/index.php/ajress/article/view/14083
Nobis, M L. (2023). Navigating assessment in the digital realm: experiences of educators in a distance learning environment. Zenodo. https://doi.org/10.5281/zenodo.10209801
Nuraini, D. R., Kusmayadi, T. A., & Fitriana, L. (2019, October 1). Mathematics problem solving based on Schoenfeld in senior high school students. Journal of Physics: Conference Series, 1318(1), 012093. https://doi.org/10.1088/1742-6596/1318/1/012093
Nurilla, J., & Susanah, S. (2022, January 19). High School Students’ Generalization Viewed from Logical-Mathematical Intelligence. MATHEdunesa, 11(1), 111–120. https://doi.org/10.26740/mathedunesa.v11n1.p111-127
Picciotto, H. (2020, August). Numbers and Reasoning. Mathematics Teacher: Learning and Teaching PK-12, 113(8), e9. https://doi.org/10.5951/mtlt.2020.0105
Pramesti, T. I., & Retnawati, H. (2019, October 1). Difficulties in learning algebra: An analysis of students’ errors. Journal of Physics: Conference Series, 1320(1), 012061. https://doi.org/10.1088/1742-6596/1320/1/012061
Purwanti, E., & Vania, G. (2021, February 20). Classroom management: Applying appropriate strategies to enhance effective teaching. Journal of Foreign Language Teaching and Learning, 6(1). https://doi.org/10.18196/ftl.v6i1.10638
Sugiarti, L., & Retnawati, H. (2019, October 1). Analysis of student difficulties in algebra problem-solving in junior high school. Journal of Physics: Conference Series, 1320(1), 012103. https://doi.org/10.1088/1742-6596/1320/1/012103
Tran, N. T., Tran, T. B. T., & Bien, T. T. M. (2020, September 15). An Exploration of the Factors Hindering Students’ Lesson Comprehension in EMI Classes. International Journal of Language and Literary Studies, 2(3), 29–42. https://doi.org/10.36892/ijlls.v2i3.317
Tyrtyshnikov, E. E. (2022). A well-posed setting of the problem of solving systems of linear algebraic equations. Sbornik: Mathematics, 213(10), 1436–1443. https://doi.org/10.4213/sm9706e
Ying, C. L., Osman, S., Kurniati, D., Masykuri, E. S., Kumar, J. A., & Hanri, C. (2020, October). Difficulties that Students Face when Learning Algebraic Problem-Solving. Universal Journal of Educational Research, 8(11), 5405–5413. https://doi.org/10.13189/ujer.2020.081143
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2024 Jona Belle Adoro, Ednalyn Dulay, Miguel Talenjale, Jr., Cherry Balanquit, Martin Nobis, Jr.
This work is licensed under a Creative Commons Attribution 4.0 International License.