Conceptual Understanding, Procedural Knowledge and Problem-Solving Skills in Mathematics: High School Graduates Work Analysis and Standpoints

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DOI:

https://doi.org/10.18488/journal.61.2019.73.258.273

Abstract

This study measures the mathematical abilities high school graduates’ in Bahrain. Mathematical abilities encompass conceptual understanding, procedural knowledge and problem-solving skills in the five content domains which are Number and Operations, Algebra, Geometry, Measurement, and Data Analysis and Probability. While procedural understanding focusses on performing facts and algorithms, conceptual understanding reflects a student's ability to reason and comprehend mathematical concepts, operations and relations which will be helpful in solving non-routine problems. A test consisting of questions from the five content domains was administered to students where they demonstrated conceptual understanding and procedural knowledge which enabled them to solve problems in various real-life situations. Structured interviews were also conducted to test their mathematical abilities and suggest ways to improve proficiency in mathematics and eliminate misconceptions. The results show that conceptual understanding and problem-solving skills are positively correlated. This research also endeavors to correlate students’ performance in this test with their high school GPA.

Keywords:

Conceptual understanding, Content domains, Mathematical abilities, Mathematical competence, Misconceptions, Problem solving, Procedural knowledge

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García-Salmerón V.N. (2025)
Modeling the understanding of the vector concept by a Bayesian multidimensional item response model. Eurasia Journal of Mathematics, Science and Technology Education, 21(1), em2566-em2566.
10.29333/ejmste/15856
Chimmalee B. (2024)
An Inductive Reasoning Strategy with Cloud-Based Symbolic Mathematics Software to Improve Undergraduates’ Mathematical Knowledge. International Journal of Engineering Pedagogy, 14(8), 120-138.
10.3991/ijep.v14i8.51023
Prativi R. (2024)
Frayer model-based assessment for detecting students’ conceptual understanding in evolution. International Journal of Evaluation and Research in Education, 13(6), 3686-3695.
10.11591/ijere.v13i6.29423
Zainil M. (2024)
The Effect of The Blended Learning-Based Elchotectim Model on High-Order Thinking Skills of University Students. AIP Conference Proceedings, 3220(1),
10.1063/5.0235092
Kenney S. (2024)
Unveiling the Errors Learners Make When Solving Word Problems Involving Algebraic Task. SAGE Open, 14(4),
10.1177/21582440241299245
Huang J.C. (2024)
Relationships among the volitional strategies, task values, and goal commitment of remedial teaching teachers and differences in teaching experience and professional background. Asia Pacific Education Review, 25(4), 1021-1036.
10.1007/s12564-024-09938-5
Herlambang A.D. (2024)
The flipped-classroom effect on vocational high school students’ learning outcomes. International Journal of Evaluation and Research in Education, 13(3), 1807-1815.
10.11591/ijere.v13i3.26757
Sa’diyah M. (2024)
Students’ Ability to Formulate Situation Mathematically from Context-Based Mathematics Problems. TEM Journal, 13(2), 1443-1451.
10.18421/TEM132-58
Ekamornaroon T. (2024)
Identifying common errors in polynomials of eighth grade students. International Journal of Evaluation and Research in Education, 13(1), 57-68.
10.11591/ijere.v13i1.25131
Mandasari L. (2024)
The Use of Technology in Learning Mathematics in Indonesia: A Systematic Literature. Nanotechnology Perceptions, 20(S3), 799-818.
10.62441/nano-ntp.v20iS3.60
Chacón-Castro M. (2023)
Pólya’s Methodology for Strengthening Problem-Solving Skills in Differential Equations: A Case Study in Colombia. Computers, 12(11),
10.3390/computers12110239
Iilonga H.K. (2023)
GRADE 10 NAMIBIAN LEARNERS' PROBLEM-SOLVING SKILLS IN ALGEBRAIC WORD PROBLEMS. Infinity Journal, 12(2), 275-290.
10.22460/infinity.v12i2.p275-290
Amalina I.K. (2023)
Cognitive and socioeconomic factors that influence the mathematical problem-solving skills of students. Heliyon, 9(9),
10.1016/j.heliyon.2023.e19539
Siskawati E. (2023)
Mathematical Comprehension Improvement Patterns to Facilitate Math Problem Solving for Junior High School Students. Journal of Higher Education Theory and Practice, 23(13), 124-135.
10.33423/jhetp.v23i13.6323
Tsamago H. (2023)
Self-organized learning environments (SOLEs) pedagogy as a conduit to learners’ metacognitive skills and conceptual understanding of “S” in STEM: The South African study. European Journal of Science and Mathematics Education, 11(3), 533-555.
10.30935/scimath/13038
Jamaluddin M. (2023)
The Role of Gender and Self-efficacy on the Relationship between Flipped and Flex Blended Learning and Mathematics Abilities. International Journal of Information and Education Technology, 13(5), 873-881.
10.18178/ijiet.2023.13.5.1882
Amalina I.K. (2023)
Assessment of domain-specific prior knowledge: A development and validation of mathematical problem-solving test. International Journal of Evaluation and Research in Education, 12(1), 468-476.
10.11591/ijere.v12i1.23831
Jin H. (2023)
Complementary measures of conceptual understanding: a case about triangle concepts. Mathematics Education Research Journal, 35(1), 153-174.
10.1007/s13394-021-00381-y
Mhlanga D. (2023)
FinTech and Artificial Intelligence for Sustainable Development: The Role of Smart Technologies in Achieving Development Goals. Sustainable Development Goals Series, Part F2798, 1-424.
10.1007/978-3-031-37776-1
Aprianti R. (2023)
Improving high school students' conceptual knowledge using contextual E-Module on optical devices topic. Journal of Physics: Conference Series, 2596(1),
10.1088/1742-6596/2596/1/012073
Abzianidze N. (2023)
About Knowledge Delivery Strategies for Intelligent Tutoring Systems in Mathematics and Computer Science. Bulletin of TICMI, 27(1), 29-37.
Rohaeti E.E. (2023)
Differential learning assisted with SANTUY mobile application for improving students’ mathematical understanding and ability. Journal on Mathematics Education, 14(2), 275-292.
10.22342/jme.v14i2.pp275-292
Syamsuddin A. (2022)
An investigation of students’ mathematical concept understanding and motivation through the implementation of aptitude treatment interaction learning model. Kasetsart Journal of Social Sciences, 43(4), 891-902.
10.34044/j.kjss.2022.43.4.12
Chimmalee B. (2022)
Enhancement of Mathematical Conceptual Understanding in a Cloud Learning Environment for Undergraduate Students. International Journal of Engineering Pedagogy, 12(6), 50-69.
10.3991/ijep.v12i6.33775
Kotoka L. (2022)
Prediction of the correlation between problem-solving skills and conceptual reasoning in stoichiometry. Journal of Baltic Science Education, 21(4), 615-637.
10.33225/jbse/22.21.615

Published

2019-08-30

How to Cite

Al-Mutawah, M. A. ., Thomas, R. ., Eid, A. ., Mahmoud, E. Y. ., & Fateel, M. J. . (2019). Conceptual Understanding, Procedural Knowledge and Problem-Solving Skills in Mathematics: High School Graduates Work Analysis and Standpoints. International Journal of Education and Practice, 7(3), 258–273. https://doi.org/10.18488/journal.61.2019.73.258.273

Issue

Vol. 7 No. 3 (2019)

Section

Articles