EKSPLORASI KONSTRUKSI PENGETAHUAN MATEMATIKA SISWA KELAS VIII SMP NEGERI 1 SURAKARTA MENGGUNAKAN TEORI ACTION, PROCESS, OBJECT, SCHEME (APOS) PADA MATERI POKOK FAKTORISASI BENTUK ALJABAR
Abstract: The objective of the
this qualitative research was to describe and analyze the mathematical
construction process of eighth graders of SMPN 1 Surakarta in the algebraic
factoring topic based on the APOS Theory. The subjects of the research were the
eighth graders of SMPN 1 Surakarta and have been selected by using purposive
sampling with the following criteria: (1) the students have learning algebraic
factoring before; (2) the students were able to communicate his thoughts orally
and written; and (3) each students were in high, medium, and low ability group.
Data retrieved with the think aloud method and taken by the researcher himself,
assisted by two auxiliary instruments; algebraic factoring test and interview
guides. The main data sources were the words and actions of students when they
were being interview. Data was validated by using data triangulation, where
data collection was conducted at two different times. Based on the findings and
discussions, it can be concluded as follows. (1) In action stage, the students
presented their knowledge orally, by using pictures, and in writing form. The
students then subtracted the simple algebraic form by classifying the algebraic
terms which have the same variables. In process stage, the students multiplied
the binomial with FOIL method and classified the algebraic terms that have same
variables mentally and in the written form. In object stage, the students
factorized the trinomial procedurally. In schema stage, the subject explained that
the factor when multiplied by another factor will produce the factored
trinomial and linked the action, process, and object stage to formed a complete
concept of algebraic factoring. (2) In process stage, there was a student who
made mistakes that could be classified as ‘invalid or incompatible
distribution’. In object stage, there was a student who did factorization in
non-procedural way.
Penulis: Muh. Zuhair Zahid,
Imam Sujadi, Dewi Retno Sari S
Kode Jurnal: jpmatematikadd140183
