REPRESENTASI MATEMATIS SISWA KELAS VII DI SMP N 9 YOGYAKARTA DALAM MEMBANGUN KONSEP SISTEM PERSAMAAN LINEAR DUA VARIABEL
Abstract: The purpose of this
study was to describe the preference of using of mathematical representations
form of the seventh grade students of SMP 9 Yogyakarta who have high ability in
developing the concept of a Systems of Linear Equations in Two Variables
(SLETV) and describing the characteristics of the use of such mathematical
representations form. This research was categorized as a qualitative case study
approach. The subjects of this study were 6 (six) students of seventh grade of
SMP Negeri 9 Yogyakarta who have high ability. Data in this study were the use
of mathematical representation forms in developing concepts of SLETV that
obtained from observation and interview-based tasks. The data were analyzed
into three categories of SLETV developing concepts: 1) stating SLETV definition
and SLETV’s solution definition; 2) using the concept SLETV in everyday life;
and 3) solving the problem of SLETV. The use of students’ mathematical
representation that includes a symbolic representation, a verbal
representation, and a visual representation were be seen by each category. The
validity of the data being used in this study was triangulation time, through
the first observational data and task-based interview, and the second
observational data and task-based interviews. The same consistent data were
categorized as valid data that illustrate the use of students’ mathematical
representation in developing concepts of
SLETV. The results of this study are as follows. 1) The preference of the use
of students’ representation forms in stating SLETV definition and solution sets
by using verbal representation. Characteristics of using this representation
are by mentioning SLETV’ characteristics (for SLETV definition), and by
mentioning the characteristics SLETV solution (for solution sets); 2)
Preference of the use of students representation forms in using SLETV concept
in the daily life is by using symbolic representation. The characteristics of
the use of representation are: a) by changing the description of the conditions
that are known to be an equation form; b) by making a conjecture to find the
right answer; c) by clarifying the rightness of the conjecture that has been
made to determine the correct answer; d) by performing algebra arithmetic
operations, and arithmetic operations to determine the right answer. 3) The
preference of the use of students’ representation forms in finishing SLETV
problem is by using symbolic representation.
The characteristics of using this representation are: a) by changing the shape
that was known as an equation form; b) by manipulating the form of the
equations that have been made to get the right answer easier; c) by making a
conjecture to find the right answer; d) by clarifying the rightness of the
conjecture that has been made to determine the correct answer; e) by doing
algebra arithmetic operations and arithmetic operations to determine the right
answer.
Keywords: Developing of concepts, Systems of Linear Equations in
Two Variables (SLETV), mathematical representation
Penulis: Rima Aksen
Cahdriyana, Imam Sujadi, Riyadi
KOde Jurnal: jpmatematikadd140172
