A STUDY OF THE EFFECTS OF USING CONCRETE-PICTORIAL-ABSTRACT (C-P-A) APPROACH ON QUADRATIC POLYNOMIAL FACTORIZATION FOR MATTHAYOMSUKSA TWO STUDENTS
Keywords:
The Guidelines for Using C-P-A Approach, Learning Achievement, The Retention of LearningAbstract
This research aimed to study the guidelines for using Concrete Pictorial Abstract (C-P-A) approach in teaching quadratic polynomial factorization, and to study students’ learning achievement and retention of learning on quadratic polynomial factorization. The target group consisted of 26 students from Matthayom 2/9 class at Tha Ruea "Nittayanukul" School in Tha Ruea District, Phra Nakhon Si Ayutthaya Province, during the second semester of the academic year 2023. The research instruments included lesson plans using the C-P-A approach and achievement tests on quadratic polynomial factorization. Data were analyzed using descriptive statistics, such as percentages, arithmetic means, and standard deviations, along with content analysis for qualitative data. The research findings revealed that the guidelines for using C-P-A approach in teaching quadratic polynomial factorization should begin by having students factor polynomials using algebra tiles, a tangible manipulative tool, while recording their results through drawing, thereby linking concrete materials to pictorial representations. The results were discussed collaboratively to generate conjectors, bridging pictorial representations to abstract concepts. Teachers should employ questioning techniques to summarize principles or abstract concepts related to factoring quadratic polynomials, gradually reducing the use of concrete tool and pictorial representation to facilitate students' connection from concrete to abstract learning. The student’s achievement after learning through C-P-A based instruction on quadratic polynomials factorization higher than the criteria of 60 percent of the total score. Additionally, the retention of learning, assessed two weeks after learning through the C-P-A based instruction, showed a retention rate of 96.06 percent, which is higher than the criteria of 70 percent.
References
Adam, Jack A. (1976). Human Memory. New York: McGraw-Hill
Bruner, J. S. (1966). Toward a theory of instruction (2nd ed.). Cambridge: Harvard University Press
Chotwinyu, N.. (2021). Study Of Mathematical Problem-solving Ability And Achievement In Linear Equations In One Variable Via Concrete-pictorial-abstract (CPA) Approach Activities For Mathayomsuksa I Students. (Master’s Thesis). Srinakharinwirot University. Bangkok
Hall, B. C. (1999). Using algebra tiles effectively tools for understanding.New Jersey. Prentice Hall
Institute for the Promotion of Teaching Science and Technology. (2023). PISA 2022 Results. Bangkok: PISA Thailand. Retrieved May 10, 2024, from https://pisathailand.ipst.ac.th/news-21/
Kemmis, S., & McTaggart, R. (1988). The Action Research Planner (3" ed.). Victoria.Deakin University
Meekaew, N. (2023). A study of learning achievement in mathematics on the problem of percent by using the Concrete Pictorial Abstract: CPA process together with the situation as a basis of grade 5 students. (Master’s Thesis). Buriram Rajabhat University.
Buriram Ministry of Education Office of the Basic Education Commission Bureau of Academic Affairs and Educational Standards. (2017). Basic Education Core Curriculum (amend in 2017). Bangkok: Kurusapha Ladprao printery.
Ministry of Education Singapore. (2012). Mathematics syllabus primary one to six. Singapore: Ministry of Education Singapore. Retrieved May 15, 2024, from https://www.moe.gov.sg/docs/default-source/document/education/syllabuses/sciences/
Namchampa, S. (2003). Comparison of conceptual understanding and retention in learning about genetics at Mathayom 4 level between teaching using the knowledge creation model from the basis of prior knowledge and normal teaching. (Master’s Thesis). Khon Kaen University
Phongwirat, S. (2016). Concept formation on factoring second degree polynomials of grade 8 students through manipulative tools. (Master’s Thesis). Chiang Mai University. Chiang Mai
Wilson, J. W. (1971). Evaluation of Learning in Secondary school mathematics. In B. S.
Bloom (Ed.), Handbook on Formative and Summative Evaluation of Student Learning. New York: McGraw-Hill
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2025 Journal of MCU Buddhapanya Review

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.