Submit a Manuscript

International Electronic Journal of Mathematics Education

Impact of Heuristic Strategy on Students’ Mathematics Ability in High Order Thinking
Hardi Tambunan 1 *
1 Department of Mathematics Education, Nommensen HKBP University, Medan, INDONESIA
* Corresponding Author
AMA 10th edition
In-text citation: (1), (2), (3), etc.
Reference: Tambunan H. Impact of Heuristic Strategy on Students’ Mathematics Ability in High Order Thinking. Int Elect J Math Ed. 2018;13(3), 321-328. https://doi.org/10.12973/iejme/3928
APA 6th edition
In-text citation: (Tambunan, 2018)
Reference: Tambunan, H. (2018). Impact of Heuristic Strategy on Students’ Mathematics Ability in High Order Thinking. International Electronic Journal of Mathematics Education, 13(3), 321-328. https://doi.org/10.12973/iejme/3928
Chicago
In-text citation: (Tambunan, 2018)
Reference: Tambunan, Hardi. "Impact of Heuristic Strategy on Students’ Mathematics Ability in High Order Thinking". International Electronic Journal of Mathematics Education 2018 13 no. 3 (2018): 321-328. https://doi.org/10.12973/iejme/3928
Harvard
In-text citation: (Tambunan, 2018)
Reference: Tambunan, H. (2018). Impact of Heuristic Strategy on Students’ Mathematics Ability in High Order Thinking. International Electronic Journal of Mathematics Education, 13(3), pp. 321-328. https://doi.org/10.12973/iejme/3928
MLA
In-text citation: (Tambunan, 2018)
Reference: Tambunan, Hardi "Impact of Heuristic Strategy on Students’ Mathematics Ability in High Order Thinking". International Electronic Journal of Mathematics Education, vol. 13, no. 3, 2018, pp. 321-328. https://doi.org/10.12973/iejme/3928
Vancouver
In-text citation: (1), (2), (3), etc.
Reference: Tambunan H. Impact of Heuristic Strategy on Students’ Mathematics Ability in High Order Thinking. Int Elect J Math Ed. 2018;13(3):321-8. https://doi.org/10.12973/iejme/3928

Abstract

The purpose of this study is to determine the impact of heuristic strategy on students’ mathematical abilities in high order thinking. This descriptive research uses a correlation design. The population of this study were all second-grade public and private high school students representing schools from eight districts in North Sumatra province, and samples (N = 257) were taken randomly. Based on linear regression analysis through analysis of variance (ANOVA) results obtained that heuristic strategy has a very strong influence on students ‘mathematical abilities in high order thinking, and partially heuristic strategies affect students’ ability in (1) understanding of concepts, (2) creativity, (3) mathematical communication, (4) problem solving, and (5) reasoning ability.

Keywords

heuristic strategy students’ mathematical abilities HOT

References

  • Abonyi, O. S., & Umeh, V. O. (2014). Effects of Heuristic Method of Teaching on Students’ Achievement in Algebra. International Journal of Scientific & Engineering Research, 5(2), 1735-1740. Retrieved from http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.429.2101&rep=rep1&type=pdf
  • Al-Agili M. Z. G, et al. (2012). The Factors Influence Students’ Achievement in Mathematics: A Case for Libyan’s Students. World Applied Sciences Journal, 17(9), 1224-1230. Retrieved from https://pdfs.semanticscholar.org/a8ab/ 0e09da8190624db89ac91df1237912fdb8b9.pdf
  • Alifiani. (2017). Penerapan Model Pembelajaran NHT-TGT untuk Meningkatkan Motivasi dan Pemahaman Konsep Materi Matematika SMA. Jurnal Riset Pendidikan Matematika, 4(1), 11-20. https://doi.org/10.21831/jrpm.v411.13100
  • Amalia, R. (2013). Penerapan Model Pembelajaran Pembuktian Untuk Meningkatkan Kemampuan Berpikir Matematis Tingkat Tinggi Siswa SMA. Universitas Pendidikan Indonesia, 2013. Retrieved from http:// repository.upi.edu/1844/1/TMTK1 104452_TITLE.pdf
  • Anggraeni, D., & Sumarno, U. (2013). Meningkatkan Kemampuan Pemahaman dan Komunikasi Matematika Siswa SMK Melalui Pendekatan Kontekstual dan Strategy Formulate-Share-Listen-Create (FSLC). Infinity, Jurnal Ilmiah Program Studi Matematika STKIP Siliwangi Bandung, 2(1), 1-12
  • Ario, M. (2016). Analisis Kemampuan Penalaran Matematis Siswa SMK Setelah Mengikuti Pembelajaran Berbasis Masalah. Jurnal Ilmiah Edu Research, 5(2), 125-134
  • Armianti. (2009). Komunikasi Matematika dan Kecerdasan Emosional. Prosiding Seminar Nasional Matematika dan Pendidikan Matematika Jurusan Pendidikan Matematika FMIPA UNY, 5, 270-280. Retrieved from http://eprints.uny.ac.id/7030/1/P16-Armiati.pdf
  • Baroody, A. J. (1993). Problem Solving. Reasoning, and Communicating K-8 (Helping Children Think Mathematically). New York: Macmillan Publishing Company.
  • Brookhart, S. M. (2010). How to Assess Higher-Order Thinking Skills in Your Classroom. Alexandria: ASCD
  • Chavez, J. A. (2007). Enlivening Problems with Heuristics through Learning Activities and Problem Solving (LAPS). Learning Science and Mathematics, SEAMEO RECSAM, (2), 1-8. Retrieved from http://ftp.recsam.edu.my/lsm/2007/2007_1_JAC.pdf
  • Dan, S. (2013). The Study on Mathematical Communication Competence and Its Assessment in China: The Preliminary Findings. East Normal University. Proceedings Ear come 6. Innovations and Exemplary Practices in Mathematics Education, 17-22
  • Duffin, J. M., & Simpson, A. P. (2000). A Search for Understanding. Journal of Mathematical Behavior, 18(4), 415-427. https://doi.org/10.1016/S0732-3123(00)00028-6
  • Effendy, M. (2018). Soal Ujian Nasional Sulit. Mendikbud. Retrieved from http://www.google.co.id
  • Evans, J. R. (1991). Creative Thinking in the Decision and Management Scince. USA: South-Western Publishing Co.
  • Fatmasuci, F. W. (2017). Pengembangan Perangkat Pembelajaran Berbasis Masalah Berorientasi Pada Kemampuan Komunikasi dan Prestasi Belajar Matematika Siswa SMP. Jurnal Riset Pendidikan Matematika, 4(1), 32-42. https://doi.org/10.21831/jrpm.v4i1.11325
  • Fauziah, A. (2010). Peningkatan Kemampuan Pemahaman dan Pemecahan Masalah Matematika Siswa SMP Melalui Strategi REACT. Forum Kependidikan, 20(1), 1-13.
  • Greenes, C., & Schulman, L. (1996). Communication Process in Mathematical Exploration and Investigation. In P.C Elliot and M.J Kenney (Ed). Communication in Mathematics, K-12 and Beyond. USA: NCTM
  • Habsah, F. (2017). Developing Teaching Material Based on Rrealistic Mathematics Andoriented to the Mathematical Reasoning and Mathematical Ccommunication. Jurnal Riset Pendidikan Matematika, 4(1), 43-55. https://doi.org/10.21831/jrpm.v4i1.10199
  • Hadi, S., & Kasum, M. U. (2015). Pemahaman Konsep Matematika Siswa SMP Melalui Penerapan Model Pembelajaran Kooperatif Tipe Memeriksa Berpasangan (Pair Cheks). EDU-MATJurnal Pendidikan Matematika, 3(1), 59-66.
  • Hamdani. (2011). Strategi Belajar Mengajar. Bandung: Pustaka Setia
  • Hamzah, H. M., & Muhlisrarini. (2014).Perencanaan dan Strategi Pembelajaran Matematika. Jakarta: PT Rajagrapindo Persada
  • Heleni S. (2009). Pembelajaran Kooperatif tipe STAD yang Diawali dengan Pemberian Soal Cerita untuk Meningkatkan Hasil Belajar Matematika Siswa Kelas VII SMPN 13 Pekanbaru. Prosiding Seminar Serantau ke 4. Retrieved from https://docmh.net/the-philosophy-of-money.html?utm_source=atur-cara-seminar-pendidikan-serantau
  • Hodiyanto. (2017). Kemampuan Komunikasi Matematis dalam Pembelajaran Matematika. AdMathEdu, 7(1), 9-17.
  • Hoona, T. H., Kee, K. L., & Singh, P. (2013). Learning Mathematics Using Heuristic Approach. Procedia - Social and Behavioral Sciences, 90, 862-869. Retrieved from https://core.ac.uk/download/pdf/82785844.pdf https://doi.org/10.1016/j.sbspro.2013.07.162
  • Hudoyo, H. (2005). Pengembangan Kurikulum Matematika dan Pelaksanaannya di Depan Kelas. Surabaya: Usaha Nasional.
  • Jailani, J., Sugiman, S., & Apino, E. (2017). Implementing the Problem-Based Learning in Order to Improve the Students’ HOTS and Characters. Jurnal Riset Pendidikan Matematika, 4(2), 247-259. https://doi.org/10.21831/jrpm.v4i2.17674
  • James. G., James, R. C., & Alchian, A. A. (1976). Mathematics Dictionary. New York: Van Nostrand Reinhold Co
  • Kleden, M. A., Geradus, U., & Sugi, Y. (2017). Meningkatkan Kemampuan Komunikasi Matematis Siswa SMP Melalui Pembelajaran Kontekstual Berbasis Budaya Pesisir. Seminar Nasional Matematika dan Aplikasinya. Surabaya, Universitas Airlangga. 150-159. Retrieved from http://math.fst.unair.ac.id/wp-content/uploads/ 2017/10/23-Maria-A.-Kleden_Undana__Pendidikan_.pdf
  • Kurniati, D., Harimukti, R., & Jamil, N. A. (2016). Kemampuan Berpikir Tingkat Tinggi Siswa SMP di Kabupaten Jember dalam Menyelesaikan Soal Berstandar PISA. Jurnal Penelitian dan Evaluasi Pendidikan, 20(2), 142-155. Retrieved from http://journal.uny.ac.id/index.php/jpep https://doi.org/10.21831/pep.v20i2.8058
  • Madu, A. (2017). Higher Order Tingking Skills (Hots) In Math Learning. IOSR Journal of Mathematics (IOSR-JM), 13(5), 70-75. Retrieved from http://www.iosrjournals.org/iosr-jm/papers/Vol13-issue5/Version-2/ L1305027075.pdf
  • Mann, P. S. (2011). Introductory Statistics. USA: Estern Connecticut State University.
  • Margaret, P. (2015). The Cause of the Low Mathematics Score in Indonesia. Retrieved from http://news.okezone.com/read/ 2014/09/09/3v3/1036506/ini-penyebab-nilai-matematika-indonesia-rendah
  • Munandar, U. (2012). Pengembangan Kreativitas Anak Berbakat. Jakarta: Rineka Cipta.
  • Nanang, A. (2016). Berpikir Kreatif Matematis dan Kemandirian Belajar dalam Pembelajaran Berbasis Masalah. Mimbar Sekolah Dasar, 3(2), 171-182. https://doi.org/10.17509/mimbar-sd.v3i2.4283
  • Ngalimun. (2014). Strategi dan Model Pembelajaran. Yogyakarta: Aswaja Presindo.
  • Novotná, J., et al. (2014). Problem Solving in School Mathematics Based on Heuristic Strategies. Journal on Efficiency and Responsibility in Education and Science, 7(1), 1-6. https://doi.org/10.7160/ eriesj.2013.070101
  • Polya, G. (1973). How to Solve It. New Jersey. Princeton
  • Prasetyani, E., Hartono, Y., & Susanti E. (2016). Kemampuan Berpikir Tingkat Tinggi Kelas XI Dalam Pembelajaran Trigonometri Berbasis Masalah di SMA Negeri 18 Palembang. Jurnal Gantang, 1(1), 31-40. https://doi.org/10.31629/jg.v1i1.4
  • Rahmazatullaili., Zubainur, C. M., & Munzir, S. (2017). Kemampuan Berpikir Kreatif dan Pemecahan Masalah Siswa Melalui Penerapan Model Project Based Learning. beta|Jurnal Tardis Matematika, 10(2), 166-183. https://doi.org/10.20414/betajtm.v10i2.104
  • Riyanto, H. Y. (2010). Paradigma Baru Pembelajaran. Jakarta: Kencana Prenada Media Group.
  • Rochani, S. (2016). Keefektifan Pembelajaran Matematika Berbasis Masalah dan Penemuan Terbimbing Ditinjau Dari Hasil Belajar Kognitif Kemampuan Berpikir Kreatif. Jurnal Riset Pendidikan Matematika, 3(2), 273-283. https://doi.org/10.21831/jrpm.v3i2.5722
  • Saragih, S., & Napitupulu, E. (2015). Developing Student-Centered Learning Model to Improve High Order Mathematical Thinking Ability. International Education Studies, 8(6), 41-52. https://doi.org/10.5539/ies.v8n6p104
  • Sari, E. F. P. (2017). Pengaruh Kemampuan Pemahaman Konsep Matematika Mahasiswa Melalui Metode Pembelajaran Learning Strats with A Question. Jurnal “Mosharafa”, 6(1), 25-34. Retrieved from http://e-mosharafa.org /index.php/mosharafa
  • Satriawan, R. (2017). Keefektifan Model Search, Solve, Create, and Share Ditinjau dari Prestasi, Penalaran Matematis, dan Motivasi Belajar. Jurnal Riset Pendidikan Matematika, 4(1), 87-99. https://doi.org/10.21831/jrpm.v4i1.7863
  • Schoenfeld, A. H. (1985). Mathematical Problem Solving. USA. Academic Press, Inc.
  • Setiawan, H. (2014). Soal Matematika Dalam PISA Kaitannya Dengan Literasi Matematika dan Keterampilan Berpikir Tingkat Tinggi. Prosiding Seminar Nasional Matematika, Universitas Jember. Retrieved from https://jurnal. unej.ac.id/index.php/psmp/article/download/955/758
  • Silver, E. A. (1997). Fostering Creativity through Instruction Rich in Mathematical Problem Solving and Thinking in Problem Posing. ZDM, 29(3), 45-62. Retrieved from http://www.fiz.karlsruhe.de/fiz /publications/zdm
  • Solso, R. L. (1995). Cognitive Psychology. Needham Heights, MA: Allyn & Bacon.
  • Sormin, M. A. (2016). Upaya Meningkatkan Kreativitas Belajar Matematika Siswa Melalui Pembelajaran Cooperative Learning Tipe Jigsaw di SMK Negeri Padangsidempuan. Jurnal Eksakta, 2(1), 19-27.
  • Sriraman, B. (2011). The Elements of Creativity and Giftedness in Mathematics. Rotterdam: Sense Publishers. https://doi.org/10.1007/978-94-6091-439-3
  • Sumantri, J. S. (2009). Filsafat Ilmu, Jakarta Pustaka Sinar Harapan
  • Sumartini, T. S. (2015). Peningkatan Kemampuan Penalaran Matematis Siswa Melalui Pembelajaran Berbasis Masalah. Jurnal Pendidikan Matematika, 5(1), 1-10.
  • Sumaryati, A. S., & Hasanah, D. U. (2015). Upaya Meningkatkan Pemahaman Konsep Matematika dengan Model Pembelajaran Inkuiri Terbimbing Siswa Kelas VIII C SMP Negeri 11 Yogyakarta. Jurnal Derivat, 2(2), 56-64.
  • Tambunan, H. (1999). Kemampuan Siswa Menyelesaikan Soal Cerita Pokok Bahasan Trigonometri dengan Strategi Heuristik. (Unpublished Master Tesis), IKIP Surabaya.
  • Tambunan, H. (2014). Strategi Heuristik dalam Pemecahan Matematika Sekolah. Jurnal Saintech, 6(4), 35-40.
  • Tambunan, H. (2016). Mathematical Model for Mapping Students’ Cognitive Capability. International Journal of Evaluation and Research in Education (IJERE), 5(3), 221-226. https://doi.org/10.11591/ijere.v5i3.4543
  • Tambunan, H. (2018). The Dominant Factor of Teacher’s Role as A Motivator of Students’ Interest and Motivation in Mathematics Achievement. International Education Studies, 4(4), 144-151. https://doi.org/10.5539/ies.v11n4p144
  • Tambunan, H., & Mawengkang, H. (2018). Integer Linear Programming Approach for Detection Learning Outcomes Achievement. Far East Journal of Mathematical Sciences (FJMS), 105(1), 95-109. https://doi.org/10.17654/MS105010095
  • Tanujaya, B., Mumu, J., & Margono, G. (2017). The Relationship between Higher Order Thinking Skills and Academic Performance of Student in Mathematics Instruction. International Education Studies, 10(11), 78-84. URL: https://doi.org/10.5539/ies.v10n11p78
  • Ulfa, W., et al. (2013). Pengaruh Strategi Pembelajaran Berbasis Masalah Terhadap Kemampuan Berpikir Tingkat Tinggi (Menganalisis,Mengevaluasi, Mencipta) dan Keterampilan Proses Sains Mahasiswa STIPAP LPP Medan, Jurnal UNIMED: 1-5.
  • Wardhani, S. (2015). Pembelajaran dan Penilaian Aspek Pemahaman Konsep, Penalaran dan Komunikasi, Pemecahan Masalah. Retrieved from http://p4tkmatematika.org/file/PRODUK/PAKETFASI LITASI/ SMP/Standar Penilaian Pendidikan.pdf
  • Webster’s. (1983). Webster’s New Twenttieth Century Dictionary of English Laguage. USA, William Collins Publisher, Inc.
  • Wibowo, A. (2017). Pengaruh Pendekatan Pembelajaran Matematika realistic dan Saintific Terhadap Prestasi Belajar, Kemampuan Penalaran Matematis dan Minat Belajar. Jurnal Riset Pendidikan Matematika, 4(1), 1-10. https://doi.org/10.21831/jrpm.v411.10066
  • Widodo, T., & Kadarwati, S. (2013). High Order Thinking Berbasis Pemecahan Masalah Untuk Meningkatkan Hasil Belajar Berorientasi Pembentukan Karakter Siswa. Cakrawala Pendidikan, XXXII(1), 161-171.
  • Yamin, M. (2013). Strategi dan Metode dalam Model Model Pembelajaran. Jakarta: Press Group.
  • Yumiati., & Noviyanti, M. (2017). Abilities of Reasoning and Mathematics Representation on Guided Inquiry Learning. Journal of Education and Learning, 11(3), 283-290.

License

This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
All Rights Reserved © 2006-2019