Structuring students' analogical reasoning in solving algebra problem

The Consortium of Asia-Pacific Education Universities

Lailiyah, S.^1 ; Nusantara, T.^2 ; Sa'Dijah, C.^2 ; Irawan, E.B.^2 ; Kusaeri^1 ; Asyhar, A.H.^3

Faculty of Education and Teacher Training, Islamic State University of Sunan Ampel, Jl. Ahmad Yani 117, Surabaya, East Java, Indonesia^1

Faculty of Mathematics and Science, State University of Malang, Jl. Semarang 5, East Java Malang, Indonesia^2

Faculty of Science and Technology, Islamic State University of Sunan Ampel, Jl. Ahmad Yani 117, Surabaya, East Java, Indonesia^3

关键词: Analogical reasoning;    Indonesians;    International students;    Learning process;    Mathematics skills;    Research subjects;    Science studies;    Target domain;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/296/1/012029/pdf
DOI  :  10.1088/1757-899X/296/1/012029

来源: IOP

【 摘 要 】

The average achievement of Indonesian students' mathematics skills according to Benchmark International Trends in Mathematics and Science Study (TIMSS) is ranked at the 38th out of 42 countries and according to the survey result in Program for International Student Assessment (PISA) is ranked at the 64th out of 65 countries. The low mathematics skill of Indonesian student has become an important reason to research more deeply about reasoning and algebra in mathematics. Analogical reasoning is a very important component in mathematics because it is the key to creativity and it can make the learning process in the classroom become effective. The major part of the analogical reasoning is about structuring including the processes of inferencing and decision-making happens. Those processes involve base domain and target domain. Methodologically, the subjects of this research were 42 students from class XII. The sources of data were derived from the results of thinks aloud, the transcribed interviews, and the videos taken while the subject working on the instruments and interviews. The collected data were analyzed using qualitative techniques. The result of this study described the structuring characteristics of students' analogical reasoning in solving algebra problems from all the research subjects.