Skip to main content Skip to main navigation menu Skip to site footer
Articles
Published: 2010-11-22

Proses Terjadinya Kesalahan Dalam Penalaran Proposional Berdasarkan Kerangka Kerja Asimilasi dan Akomodasi

IAIN Mataram
Proportional Reasoning Assimilation Acomodation

Galleys

Abstract

Proportional reasoning is a reasoning of understanding the equal of two relation structure in proportional problem. The error of proportional reasoning is the occurrence of the reasoning error process begins with the less of the reasoning problem that resulting the reasoning process unsuitable to the structure problem. This research is conducted to the students of MTs Surya Buana Kota Malang that had been received the material about comparison (Proportion). The data collection is taken by the Think-Out-Loud (TOL) method or think loud. In TOL method, student is asked to speak loudly what he/she being thought. The data that had been reached will be encoded and become the base to study the error occurrence, when conducting the proportion problem. From this research, I found that the occurrence of reasoning error in the students has some characteristics, they are: (1). The mistake of assimilation process in the subject’s reasoning structure is occur (S1). (2). The less of the reasoning structure in the assimilation process in the meadium member of the subject is happen (S3 and S4). Meanwhile, subject (S2, S5 and S6) have the complete reasoning. This research is limited into the occurrence of the error in proportional reasoning (especially in the equal score comparison). So that, there are another opportunities to the next research especially related to: (1). How is the student’s reasoning when they study about opposition score comparison, and (2). The study design that can decrease the reasoning error in overcoming the math problem.

Downloads

Download data is not yet available.

References

Artzt, Alice F. dan Yaloz-Femia S. 1999 Mathematical Reasoning during Small-Group Problem Solving dalam Lee V. Stiff dan Frances R. Curcio (edt) Developing Marhematical Reasoning in Grades K-12, 115-126. NCTM. Virginia: USA.
Bruner, J.S., et al. 1956. A Study of Thinking, Jhon Willey and Sons, Inc: New York.
Chaplin, C.P, 1989. Kamus Lengkap Psikologi (terjemahan Kartini Kartono). Rajawali Press. Jakarta
Copi, Irving M. 1978. Intrudaction to Logic. New York: Mcmillan Publising Co, Inc.
Cramer, K. & Post, T. 1993, May. Connecting Research to Teaching Proportional Reasoning. Mathematics Teacher, 86(5), 404-407.
Depdikbud. 1990. Kurikulum Pendidikan Dasar. GBPP. Jakarta.
Depdikbud. 1993. Kamus Besar Bahasa Indonesia. Balai Pustaka. Jakarta.
Depdiknas. 2004. Kurikulum Berbasis Kompetensi. GBPP. Jakarta.
Greenes, C dan Findell, C. 1999. Developing Student’s Algebraic Reasoning Abilities dalam Lee V. Stiff dan Frances R. Curcio (edt) Developing Mathematical Reasoning Grades in K-12, 127-137. NCTM. Virginia: USA.
Hudojo, H. 1988. Mengajar Belajar Matematika. Dirjen Dikti. Jakarta.
Hudojo, H. 1990. Startegi Belajar Mengajar Matematika. IKIP Malang. Malang.
Hudojo, H. 2001. Pengembangan kurikulum dan Pembelajaran Matematika. JICA. Jakarta. IMSTEP.
Johar, R., 2006. Penalaran Proporsional Siswa SMP. Disertasi. Tidak dipublikasikan. Unesa Surabaya.
Krulick, S., Rudnick, J., dan Milou, E., 2003. Teaching Mathematics in Middle School. A Practical Guide. Person Education. New York.
Lesh, R., Huver, M.at al., 2001. Principles for developing Thought Revealing Activities for Students and Teacher Handbook of Research Design in Mathematics and Science Education. Mahweh, NJ: Lawrence Erlboum associaties pp. 591-645
Lesh, R., Post, T., & Behr, M., 1988. Proportional Reasoning. In J. Hiebert & M. Behr (Eds.) Number Concepts and Operations in the Middle Grades (pp. 93-118). Reston, VA: Lawrence Erlbaum & National Council of Teacher of Mathematics. http://education.umn.edu/rationalnumberproject/88 8.html. Diakses 28 November 2008.
Moleong, L., J., 2004. Metodologi Penelitian Kualitatif. Remaja Rosdakarya. Bandung.
NCTM. 2000a. Principle and Standards for School Mathematics: USA.
NCTM. 2000b. Mathematics Assesment: a Practical Handbook for Grade 6-8: USA.
NMSI. 1998. Proporsional Reasoning: Expressing Relationship: Sample Lesson. Nebraska US: Nebraska Educational Television Work dalam http://www.nde.state.ne.us/NMSI/mathvanteg/proportional/lesson.html.
Nurhadi dkk. 2003. Pembelajaran Kontekstual dan Pembelajarannya Dalam KBK. Universitas Negeri Malang. Malang
Olson, G.M., Duffy, S.A, and Mack, R.L, 1988. Thinking-Out-Lound as a Method for Studying Real-Time Comprehension Processes. (pp. 253 – 286). Hills Dole, New Jersey. Lawarence Erlbaum Associates, Publisher.
Pape, S., 2004. Middle School Children’s Problem Solving Behavior: A Cognitive analysis from A Reading Comprohension Perspektive. Jurnal for Research in Mathematics Education. Vol 35 Number 3 May 2004.
Piaget, J. dan Inhelder, B. 1969. The Psycology of Intelligence. London: Routledge & Kegen Paul.
Puskur, 2001. Kurikulum Berbasis Kompetensi. Mata Pelajaran Matematika. Depdiknas.
Puskur, 2003. Kurikulum Berbasis Kompetensi. Mata Pelajaran Matematika. Depdiknas
Russeffendi, E.T, 1991. Pengantar Membantu Guru Mengembangkan Kompetisi dalam Pengajaran Matematika untuk Meningkatkan CBSA, Bandung: Tarsito.
Soedjadi, R. dan Moesono, J. 2000. Matematika 2b. Depdikbud: Balai Pustaka.
Soedjadi, R. 1989. Matematika Untuk pendidikan Dasar 9 Tahun. Makalah disampaikan pada Pidato Dies Natalis ke-25 IKIP Surabaya Tanggal 21 Desember 1989.
Stenberg, R., 1999. The Nuture of Mathematical Reasoning dalam Lee V. Stiff dan Frances R. Curcio (edt) Developing Mathematical Reasoning in Grades K-12, 37-44. NCTM. Virginia: USA.
Subanji, 2007. Proses Berpikir Penalaran Kovariasional Pseudo Siswa Dalam Mengkonstruksi Grafik Fungsi Kejadian Dinamik Berkebalikan. Disertasi tidak dipublikasikan. Unesa Surabaya.
Sujono, 1988. Pengajaran Matematika untuk Sekolah Menengah. Jakarta: P2LPTK
Suriasmuntari, Jujun. S. 1990. Ilmu Dalam Persepektif. Jakarta: Yayasan Obor Indonesia.

How to Cite

Irpan, S. (2010). Proses Terjadinya Kesalahan Dalam Penalaran Proposional Berdasarkan Kerangka Kerja Asimilasi dan Akomodasi. Beta: Jurnal Tadris Matematika, 3(2), 100–117. Retrieved from https://jurnalbeta.ac.id/index.php/betaJTM/article/view/94