Persepsi dan Amalan Pengajaran Guru Matematik dalam Penyelesaian Masalah Algebra

Perception and Practice of Teaching Mathematics in Solving Algebra Problems

Authors

  • Nor’ain Mohd. Tajudin Jabatan Matematik, Fakulti Sains dan Matematik Universiti Pendidikan Sultan Idris, Tanjong Malim, Perak, MALAYSIA
  • Marzita Puteh Jabatan Matematik, Fakulti Sains dan Matematik Universiti Pendidikan Sultan Idris, Tanjong Malim, Perak, MALAYSIA
  • Mazlini Adnan Jabatan Matematik, Fakulti Sains dan Matematik Universiti Pendidikan Sultan Idris, Tanjong Malim, Perak, Malaysia
  • Mohd Faizal Nizam Lee Abdullah Jabatan Matematik, Fakulti Sains dan Matematik Universiti Pendidikan Sultan Idris, Tanjong Malim, Perak, MALAYSIA
  • Amalina Ibrahim Jabatan Matematik, Fakulti Sains dan Matematik Universiti Pendidikan Sultan Idris, Tanjong Malim, Perak, MALAYSIA

Keywords:

Algebra, penyelesaian masalah algebra, model Polya, kaedah praktikal, simulasi

Abstract

Penyelesaian Masalah Algebra (PMA) merupakan topik tumpuan dalam pengajaran dan pembelajaran matematik. Kajian kualitatif ini bertujuan untuk mengenal pasti persepsi dan amalan guru terhadap pengajaran dan pembelajaran PMA di sekolah menengah Malaysia. Seramai 18 orang guru matematik dipilih secara teknik persampelan bertujuan terlibat dalam kajian ini. Kaedah temu bual secara separa berstruktur digunakan bagi mengumpul data. Data temu bual dianalisis menggunakan kaedah analisis konten. Dapatan menunjukkan guru berpandangan bahawa pengajaran PMA di sekolah adalah penting dan menjadi nadi dalam pengajaran dan pembelajaran matematik. Guru juga berpandangan, konsep algebra perlu diajar dengan cara yang berkesan agar mudah difahami pelajar. Kebanyakan guru didapati mengamalkan pengajaran menggunakan model Polya dalam pengajaran PMA yang melibatkan empat langkah yang terdapat dalam model tersebut untuk menyelesaikan masalah matematik. Walau bagaimanapun, terdapat strategi baru yang mereka terokai berasaskan pengalaman dan kolaborasi bersama guru matematik lain di sekolah seperti kaedah praktikal dan simulasi. Kajian ini memberi indikasi bahawa amalan pengajaran yang dipamerkan oleh guru adalah sangat penting dan mampu membantu pelajar dalam mengukuhkan pembelajaran PMA dan ini secara tidak langsung dapat meningkatkan kemahiran berfikir aras tinggi dalam kalangan pelajar.

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References

Azizi Yahaya & Ellanggovan, S. (2008). Kepentingan Kefahaman Konsep dalam Matematik. Permasalahan dalam Pendidikan Sains dan Matematik. UTM: Skudai.

Bansford, J. D., Linda Z., Daniel S., Brigid B., Nancy, V. & The Cognition and Technology Group at Vanderbilt. (1996). Fostering Mathematical Thinking in Middle School Students: Lessons from Research. In R. J. Sternberg & T. Ben-Zeev (Ed.), The Nature of Mathematical Thinking. Mahwah, N.J.: Lawrence Erlbaum Associates.

Davis, R. (1984). Learning mathematics: The cognitive science approach to mathematics education. Norwood, NJ: Ablex.

Egodawatte, G. (2011). Secondary School Students’ Misconceptions in Algebra. Tesis Doktor Falsafah, University of Toronto.

Gagne, R. M. (1985). The condition.ns of learning and theory of instruction 4th edition. New York: Holt, Rinehart and Winston.

Goldin, G. A. (1992). On developing a unified model for the psychology of mathematical learning and problem solving. Proceedings of the Sixteenth Conference on the International group for the Psychology of Mathematics Education. Vol 3, 235-261, University of New Hampshire.

Hassan Pardi (1998). Pola kesilapan murid tahun tiga menyelesaikan masalah bercerita dalam matematik: satu kajian kes. Tesis Ijazah Sarjana Pendidikan yang tidak diterbitkan, Universiti Malaya.

Hegarty, M., Mayer, R. E. & Monk, C. A. (1995). Comprehension of Arithmetic Word Problems: A Comparison of Successful and Unsuccessful Problems Solvers. Journal of Educational Psychology, 87(1), 18-32.

Jemaah Nazir Sekolah Persekutuan, Kementerian Pelajaran Malaysia (1993). Laporan kajian pengajaran dan pembelajaran penyelesaian masalah dalam matematik KBSR. Kuala Lumpur.

Krulik, S. & Rudnick, J.A. (1996). The new sourcebook for teaching reasoning and problem solving in junior and senior high school. Boston: Allyn & Bacon.

Kementerian Pendidikan Malaysia (2013). Malaysia Education Blueprint 2013-2025 (Preschoool to Post-Secondary Education, Putrajaya, Malaysia.

Leikin, R. (2009). Bridging research and theory in mathematics education with research and theory in creativity and giftedness. In Leikin, R. Berman, A. & Koichu, B. (Eds). Creativity in mathematics and the education of gifted students. (Part IV-synthesis, Ch. 23, pp. 385-411). Rotterdam, The Netherlands: Sense Publisher.

Lester, F. K. (1975). Mathematical problem solving in the elementary school: Some educational and psychological considerations in mathematical problem solving. Columbus, Ohio: Eric. Lester, F. K. (2013). Thoughts about research on mathematical problem- solving instruction. In L. Santos-Trigo & L. Moreno-Armella, International Perspectives on Problem Solving Research in Mathematics Education, a special issue. The Mathematics Enthusiast, 10(1&2), 245–278.

Maissner, H. (1983). How To Proke Relational Understanding. Proc of the seventh Int. Conference For The Psychology of mathematical education. Israel. Pg. 76-81.

Mayer, R. E. (1983). Thinking problem solving cognition. New York: Freeman.

McCormick, R. (1997). Conceptual and Procedural Knowledge. International Journal of Technology and Design Education. 7(1-2), 141–159.

Ministry of Education (1998). Secondary school curricula: Mathematics. Kuala Lumpur: Dewan Bahasa dan Pustaka.

Mohd. Uzi Dollah (1999). Penyelesaian masalah matematik: Satu kajian kes pelajar tingkatan dua. Tesis Ijazah Sarjana yang tidak diterbitkan: Pusat Pengajian Ilmu Pendidikan, Universiti Sains Malaysia, Pulau Pinang.

Morris, J. (1981) Math Anxiety: Teaching to avoid it, Mathematics Teacher. 74, 413- 417.

National Council for Teachers of Mathematics (2000). Principles and standards for school mathematics. Reston, VA: NCTM.

Nor’ain Mohd. Tajudin (2015) Mathematical Knowledge And Higher Order Thinking Skills For Teaching Algebraic Problem Solving. Proceedings of SOCIOINT15- 2nd International Conference on Education, Social Sciences and Humanities, 8-10 June 2015- Istanbul, Turkey, ms. 26-35, ISBN: 978-605-64453-3-0.

Nor’ain Mohd. Tajudin, Nurulhuda Abd Rahman, Noor Shah Saad, Asmayati Yahaya, Hasimah Alimon, Mohd. Uzi Dollah & Mohd. Mustamam Abd Karim (2013). Kemahiran Penaakulan Saintifik dan Stail Pengajaran Pensyarah: Indikasi Awal Ke Arah Peningkatan Kualiti Pengajaran Dan Pembelajaran Pelajar Institusi Pengajian Tinggi Jurnal Pendidikan Sains & Matematik Malaysia. 3(1), 48-59.

Pearce, D., Bruun, F., Skinner, K. & Lopez-Mohler, G. (2009). What teacher say about student difficulties. International Electronic Journal of Mathematics Education. 8(1), 3-20. Polya, G. (1957). How to solve it; a new aspect of mathematical method. Garden City, New York:Doubleday.

Polya, G. (1973). How to solve it. Princeton: Princeton University Press McCormick.

Pusat Perkembangan Kurikulum (2004). Huraian sukatan pelajaran Matematik KBSM, Tingkatan 4. Kuala Lumpur: Kementerian Pendidikan Malaysia.

Pusat Perkembangan Kurikulum (2011). Huraian sukatan pelajaran Matematik KBSM, Tingkatan 1. Kuala Lumpur: Kementerian Pelajaran Malaysia.

Pusat Perkembangan Kurikulum (2012). Kurikulum Standard Sekolah Menengah (KSSM). Kuala Lumpur: Kementerian Pelajaran Malaysia.

Rittle-Johnson, B. & Star, J. R. (2007). Does comparing solution methods facilitate conceptual and procedural knowledge? An experimental study on learning to solve equations. Journal of Educational Psychology, 99(3), 561-574.

Schoenfeld, A. H. (1985). Mathematical problem solving. San Diego: Academic Press Inc. Silver, E. A. (1997). Fostering creativity through instruction rich in mathematical problem solving and problem posing. ZDM, 3, 75-80.

Star, J. R. & Newton, K. J. (2009). The nature and development of experts’ strategy flexibility for solving equations. ZDM, 41, 557-567.

TIMSS (2007). International mathematics report: Findings from IEA‟S repeat of the third international mathematics and science study at the eight grade. Boston: International Study Centre, Lynch School of Education.

TIMSS (2011). International mathematics report: Findings from IEA‟S repeat of the third international mathematics and science study at the eight grade. Boston: International Study Centre, Lynch School of Education.

Zarimah Zainal & Nor’ain Mohd Tajudin (2011). Proses metakognisi dalam penyelesaian masalah matematik bukan rutin. Jurnal Pendidikan Sains & Matematik. 1(1), 10- 26.

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Published

2015-10-02

How to Cite

Mohd. Tajudin, N., Puteh, M., Adnan, M., Lee Abdullah, M. F. N., & Ibrahim, A. (2015). Persepsi dan Amalan Pengajaran Guru Matematik dalam Penyelesaian Masalah Algebra: Perception and Practice of Teaching Mathematics in Solving Algebra Problems. Jurnal Pendidikan Sains Dan Matematik Malaysia, 5(2), 12–22. Retrieved from https://ejournal.upsi.edu.my/index.php/JPSMM/article/view/2148