Learning implementation based on Concrete-Pictorial-Abstract (CPA) approach to enhance mathematical concepts on addition subtraction multiplication and division for grade-4 students
Article Sidebar
Main Article Content
Abstract
This research aims to develop a learning implementation based on Concrete-Pictorial-Abstract (CPA) that enhance mathematical concepts and to study mathematical concepts of grade-4 students on addition, subtraction, multiplication, and division after learning based on CPA approach. This research is a classroom action research. The participants were the 40 students in grade 4 of a school in Chaiyaphum Province. The research tools were lesson plans based on CPA approach, learning reflection form, worksheets and mathematical concept test. Data were analyzed by content analysis. The results revealed that the learning implementation based on CPA should use concrete objects to enhance understanding in meaning, relationships and order of operation which are addition, subtraction, multiplication, and division. In addition, teacher should facilitate students to connect knowledge to an explicit mental model, this can help student translated model to mathematical expression correctly. The results from worksheets during learning and mathematical concept test after learning similarly showed that most students’ mathematical concepts were in Sound Conceptual Understanding level.
Article Details
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
The Journal of Science and Science Education (JSSE) retain the right of all articles published in JSSE. The coresponding author or the authorized person on behalf of the authors must send the complete Copyright Transfer Form to JSSE before any article get published in JSSE.
Copyright Transfer Form
The JSSE request the coresponding author or the authorized person on behalf of the authors upload the manuscript under the together with the Copyright Transfer Form under the supplementary data. The guidline for uploading both manuscript and Copyright Transfer Form is shown below:
1. Upload the manuscript in the sub-menu, Article Component > Article Text.
2. Upload the the Copyright Transfer Form in the sub-menu, Article Component > Other.
Download Copyright Transfer Form
References
Angganapattarakajorn. V. (2011). Complete with things you should know for math teachers (in Thai). Bangkok: Charasanitwong Printing.
Hoe, L. N. and Jeremy. T. B. L. (2014). The role of virtual manipulatives on the Concrete-Pictorial-Abstract approach in teaching primary mathematics. The Electronic Journal of Mathematics and Technology, 8(2), 102-121.
Hoong, L. Y., Kin, H. W. and Pien. C. L. (2015). Concrete-Pictorial-Abstract: Surveying its origins and charting its future. The Mathematics Educator, 16(1), 1-18.
Hui, C. S., Hoe, L. N. and Lee, K. P. (2017). Teaching and Learning with Concrete- Pictorial-Abstract Sequence: A Proposed Model. The Mathematics Educator, 17(1), 1- 28.
Institute for the Promotion of Teaching Science and Technology. (2015). Trends in International Mathematics and Science Study 2015 (in Thai). Retrieved 1 February 2020, from TIMSS 2015: from://timssthailand.ipst.ac.th/timss/reports/TIMSS2015summary
Isaraprida, P. (2006). Essential educational psychology (in Thai). Khon Kaen: Klungnanatham.
Kemmis, S., & McTaggart, R. (1988). The action research planer (3rd ed.). Victoria: Deakin University.
Makanong, A. (2003). Teaching and learning (in Thai). Bangkok: Chulalongkorn University Press.
Ministry of Education, Thailand. (2010). Basic Education Core Curriculum B.E. 2551 (A.D. 2008). Bangkok: The Agricultural Co-operative Federation of Thailand.
Pananchai, K. (2018). Eleventh grade students’ conceptual understanding and mental models on chemical equilibrium from learning by using inquiry incorporated with predict-observe-explain technique (in Thai). Journal of Science and Science Education, (1)1, 49-60.
Pattanatrakoolsook, K. (2002). Why should we learn mathematics? (in Thai). Journal of Mathematics, 46, 35-39.