IDENTIFIKASI KEMAMPUAN BERPIKIR KRITIS DALAM MEMECAHKAN MASALAH MATEMATIKA
Abstract
This Mathematics critical thinking skill is one of the components a student must possess. This skill will assist them to be able to make the right decision. In fact, however, not many of them having a high of critical thinking skill. It causes them to be lack of skills in completing the mathematics cases. This research aims to: (1) describe the critical thinking skills of junior high school students in solving mathematical problems and (2) identify the students' critical thinking components in the focus, reason, inference, situation, clarity, dan overview. This was descriptive research with a qualitative approach. This research involved 32 subjects comprising 15 male students and 17 female students. The method used in this research is test, interview, and triangulation. The test used in this research consisted of 6 problems representing 6 sub-skills of critical thinking skills. The results of data collection were analyzed through data reduction, data display, and conclusion drawing. The findings showed that: (1) the critical thinking skills of junior high school students were in a low category; (2) overview became the lowest critical thinking sub-skills mastered by the students compared to other critical thinking sub-skills
Keywords
Full Text:
PDFReferences
Aizikovitsh, E. & Amit, M. (2011).Developing the Skills of Critical and Creative Thinking by Probability Teaching. Procedia Social and Behavioral Sciences, 15 (1), 1087-1091.
Aizikovitsh, E. and Amit, M. (2010). Evaluating an Infusion Approach to the Teaching of Critical Thinking Skills Through Mathematics. Procedia-Social and Behavioral Sciences, 2 (1), 3818– 3822.
Aksu, G., & Koruklu, N. (2015). Determination the Effects of Vocational High School Students’ Logical and Critical Thinking Skills on Mathematics Success. Eurasian Journal of Educational Research, 59, 181-206.
Aktas, G., Unlu, M. (2013). Critical Thinking Skills of Teacher Candidates of Elementary Mathematics. Procedia Social and Behavioral Sciences, 93, 831–835.
Akyuz, H.I., Yetik, S.S., & Keser, H. (2015). Effects of Metacognitive Guidance on Critical Thinking Disposition. Pegem Eğitim ve Öğretim Dergisi, 5(2), 133-148.
Alghazo, Y.M., & Alghazo, R. (2017). Exploring Common Misconceptions and Errors about Fractions among College Students in Saudi Arabia. International Education Studies, 10 (4), 133-140.
Alwadai, M.A.,. (2014). Islamic Teachers’ Perceptions of Improving Critical Thinking Skills in Saudi Arabian Elementary Schools. Journal of Education and Learning, 3(4), 37-48.
Ananiadou, K., & Claro, M. (2009). 21st Century Skills and Competences for New Millennium Learners in OECD Countries. OECD Education Working Papers, 41. doi: 10.1787/218525261154.
Applebaum & Mark. (2015). Activating Pre-service Mathematics Teachers' Critical Thinking. European Journal of Science and Mathematics Education, 3 (1), 77-89.
As’ari, A.R. (2014). Ideas for Developing Critical Thinking at Primary School Level: Paper Presented at an International Seminar Addressing High Order Thinking at Universitas Muhammadiyah Makasar, Makasar: April 12 – 13, 2014.
Basri, H., & As’ari, A. R (2018). Improving the Critical Thinking Ability of Students to Solve Mathematical Task. Jurnal Ilmiah Pendidikan Matematika (JIPM). 7 (1), 13-21
Basri, H., Purwanto, As’ari, A. R., & Sisworo. (2019). Investigating Critical Thinking Skill of Junior High School in Solving Mathematical Problem. International Journal of Instruction, 12(3), 745-758. https://doi.org/10.29333/iji.2019.12345a
Bergsten, C., Engelbrecht, J., & Kagesten, O. (2017). Conceptual and Procedural Approaches to Mathematics in the Engineering Curriculum – Comparing Views of Junior and Senior Engineering Students in Two Countries. EURASIA Journal of Mathematics Science and Technology Education, 13(3), 533-553.
Brijlall, D, & Ndlovu, Z. (2013). High school learners’ mental construction during solving optimisation problems in Calculus: a South African case study. South African Journal of Education, 33(2), 1–18.
Butler, H. A. (2012). Halpern Critical Thinking Assessment Predicts Real-world Outcomes of Critical Thinking. Applied Cognitive Psychology, 26(5), 721-729. doi: 10.1002/acp.2851
Black, S. (2005). Teaching Students to Think Critically. The Education Digest, 70(6), 42–47.
Caraher DW, Martinez MV, Schielmann AD. (2008). Early Algebra and Mathematical Generalization. ZDM Math. Educ. 40, 3-22.
Cathcart, G., Pothier, Y., Vance, J., & Bezuk, N. (2001). Learning Mathematics in Elementary and Middle Schools (2nd ed.). Upper Saddle River, New Jersey: Prentice Hall, Inc.
Choy, S.C., Cheah, P.K. (2009). Teacher Perceptions of Critical Thinking Among Students and Its Influence on Higher Education. International Journal of Teaching and Learning in Higher Education, 20 (2), 198-206.
Creswell, J. W. (2010). Research Design: Qualitative, Quantitative and Mixed Method Approaches (3rd ed.). California (Translated by Achmad Fawaid).
Dundar, S. (2015). Mathematics Teacher-Candidates’ Performance in Solving Problems with Different Representation Styles: The Trigonometry Example. Eurasia Journal of Mathematics, Science & Technology Education,11(6), 1379-1397.
Ennis, R. H. (1996). Critical Thinking. New Jersey. Prentice-Hall Inc.
Facione, P. A. (1990). Critical thinking : A statement of expert consensus for purposes of educational assessment and instruction executive summary (The Complete American Philosophical Association Delphi Research Report). California: The California Academic Press.
Gagatsis, A., Christou, C., & Elia, I. (2004). The Nature of Multiple Representations in Developing Mathematical Relationships. Quaderni di Ricerca in Didattica, 14, 150–159.
Halpern, D. F. (1998). Teaching Critical Thinking across Domains: Dispositions, Skills, Structure Training, and Metacognitive Monitoring. American Psychologist, 53(4), 449–455.
Halpern, D. F. (2012). Halpern critical thinking assessment: Test manual. Austria: Schuhfried GmbH.
Howie, D. R. (2011). Teaching Students Thinking Skills and Strategies [Electronic Resource]: A Framework for Cognitive Education in Inclusive Settings/ Dorothy Howie. London: Jessica Kingsley.
Hryciw, D.H., & Dantas, A.M. (2016). Scaffolded Research-Based Learning for the Development of Scientific Communication in Undergraduate Physiology Students.International Journal of Innovation in Science and Mathematics Education, 24(1), 1-11.
Innabi, H., & Sheikh, O. E. (2006). The Change in Mathematics Teachers’ Perceptions of Critical Thinking after 15 Years of Educational Reform in Jordan, Educational Studies in Mathematics, 64, 45-68.
Kementerian Pendidikan dan Kebudayaan. 2013. Kurikulum 2013. Jakarta: Badan Penelitian dan Pengembangan.
Kuhn, D., & Dean, D. (2004). Metacognition: a Bridge between Cognitive Psychology and Educational Practice. Theory into Practice, 43(4), 268–274.
Kumar, R., & James, R. (2015). Evaluation of Critical Thinking in Higher Education in Oman. International Journal of Higher Education, 4 (3), 33-43.
Kusaeri, & Aditomo, A. (2019). Pedagogical Beliefs about Critical Thinking among Indonesian Mathematics Pre-service Teachers. International Journal of Instruction, 12(1), 573-590.
Ku, K. Y. L. (2009). Assessing Students’ Critical Thinking Performance: Urging for Measurements using Multi-response Format. Thinking Skills and Creativity, 4(1), 70-76.
Ku, K.Y.L, & Ho, I.T. (2010). Metacognitive Strategies that Enhance Critical Thinking. Metacognition Learning, 5, 251–267. DOI 10.1007/s11409-010-9060-6.
Lailiyah, S.; Nusantara, T.; Sa’Dijah, C.; Irawan, E. B.; Kusaeri, & Asyhar, A. H. (2018). Structuring Students’ Analogical Reasoning in Solving Algebra Problem. In IOP Conference Series: Materials Science and Engineering (Vol. 296, No. 1, p. 012029).
Lambert, V., & Lambert, C. (2012). Editorial: Qualitative Descriptive Research: An Acceptable Design. Pacific Rim International Journal of Nursing Research, 16(4), 255-256.
Lee, C.I. (2017). An Appropriate Prompts System Based on the Polya Method for Mathematical Problem-Solving. EURASIA Journal of Mathematics Science and Technology Education, 13(3), 893-910.
Mangulabnan, P.A.T.M. (2013). Assessing Translation Misconceptions Inside the Classroom: A Presentation of an Instrument and Its Results. US-China Education Review A, 3 (6), 365-373.
Marni, S., Suyono, Roekhan, & Harsiati, T. (2019). Critical Thinking Patterns of First-Year Students in Argumentative Essay. Journal for the Education of Gifted Young Scientists, 7(3), 683-697. DOI: http://dx.doi.org/10.17478/jegys.605324.
Mason, J., Burton, L. and Stacey, K. (2010). Thinking Mathematically, 2nd edition. London: Pearson Education Limited.
Moeti, B., Mgawi, R.K., & Moalosi, W.T.S., (2016). Critical Thinking among Post-Graduate Diploma in Education Students in Higher Education: Reality or Fuss?. Journal of Education and Learning, 6 (2), 13-24.
Mogiri, D., & Chiroe, M. (2017). Comparing Grades 10–12 Mathematics Learners’ Non-routine Problem Solving. EURASIA Journal of Mathematics Science and Technology Education, 13(8), 4523-4551.
NCTM. (2000). Principles and Standards for School Mathematics. Reston, VA: NCTM.
Nickerson, R. S. (1994). The Teaching of Thinking and Problem Solving. In R. J. Sternberg (Ed.), Thinking and Problem Solving (pp. 121–132). San Diego: Academic.
Nursyahidah, F., & Albab, I. U. (2017). Investigating Student Difficulties on Integral Calculus Based on Critical Thinking Aspects. Jurnal Riset Pendidikan Matematika, 4(2), 211-218.
Ozcan, Z.C., & Imamoglu, Y. (2017). Analysis of Sixth Grade Students’ Think-Aloud Processes While Solving a Non-routine Mathematical Problem. Educational Sciences: Theory & Practice, 17 (1), 129-144.
Peter, E.E. (2012). Critical thinking: Essence for Teaching Mathematics and Mathematics Problem Solving Skills. African Journal of Mathematics and Computer Science Research, 5(3), 39-43.
Saregar, A., Irwandani, I., Abdurrahman, A., Parmin, P., Septiana, S., Diani, R., & Sagala, R. (2018). Temperature and Heat Learning through SSCS Model with Scaffolding: Impact on Students’ Critical Thinking Ability. Journal for the Education of Gifted Young Scientists, 6(3), 39-54. DOI: DOI: http://dx.doi.org/10.17478/JEGYS.2018.80.
Schreglmann, S. & Kanatlı Öztürk, F. (2018). An evaluation of gifted students’ perceptions on critical thinking skills. Journal for the Education of Gifted Young Scientists, 6(4), 1-16. DOI: http://dx.doi.org/10.17478/JEGYS.2018.81.
Schroyens, W. (2005). Knowledge and Thought: An Introduction to Critical Thinking. Experimental Psychology, 52(2), 163–164.
Serin, O. (2013). The Critical Thinking Skills of Teacher Candidates. Turkish Republic of Northern Cyprus sampling. Egitim Arastirmalari-Eurasian Journal of Educational Research, 53, 231-248.
Seventika, S. Y., Sukestiyarno, Y. L., & Mariani, S. (2018). Critical Thinking Analysis Based on Facione (2015) - Angelo (1995) Logical Mathematics Material of Vocational High School (VHS). Journal of Physics: Conference Series, 983(1), 012067.
Siegel, H. (2010). Critical Thinking. International Encyclopedia of Education, 6, 141-145.https://doi.org/10.1016/B978-0-08-044894-7.00582-0
Siyepu, S.W. (2015). Analysis of Errors in Derivatives of Trigonometric Functions. International Journal of STEM Education, 2 (16), 1-16.
Stapleton, P. (2011). A Survey of Attitudes Towards Critical Thinking among Hongkong Secondary School Teachers: Implications for Policy Change. Thinking Skills and Creativity, 6, 14–23.
Susandi, A.D., Sa’dijah, C., As’ari, A.R. & Susiswo. (2018). Error Analysis on Prospective Teacher in Solving the Problem of Critical Thinking Mathematics with Apos Theory. Advances in Social Science, Education and Humanities Research, volume 218, 71-75, First International Conference on Science, Mathematics, and Education, (ICoMSE 2017), Atlantis Press.
Susandi, A.D., Sa’dijah, C., As’ari, A.R. & Susiswo. (2019a). What Error Happened to Inferences of Senior High School Students Using Mathematical Critical Thinking Ability?. International Journal of Scientific & Technology Research, 8(9), 507-511.
Susandi, A.D., Sa’dijah, C., As’ari, A.R. & Susiswo. (2019b). Students’ critical ability of mathematics based on cognitive styles. Journal of Physics: Conference Series, 1315 (2019) 012018.
Turnuklu, E & Alayli, F.G. (2013). Investigation of Prospective Primary Mathematics Teachers’ Perceptions and Images for Quadrilaterals. Educational Sciences: Theory & Practice, 13(2), 1225-1232.
Trigueros, M & Planell, R.M. (2010). Geometrical Representations in the Learning of Two-Variable Functions. Educ Stud Math, 73, 3–19. DOI 10.1007/s10649-009-9201-5
Uzel, D., Uyangor, S. M. (2005).Attitudes of Class Students Toward Mathematicsin Realistic Matematics Education. Jurnal International Mathematical Forum.
Wongsila, S. & Yuenyong, C. (2019). Enhancing Grade 12 Students’ Critical Thinking and Problem-Solving Ability in Learning of the STS Genetics and DNA Technology Unit. Journal for the Education of Gifted Young Scientists, 7(2), 215-235. DOI: http://dx.doi.org/10.17478/jegys.549005.
Yacoubian, H. A. (2015). A Framework for Guiding Future Citizens to Think Critically About Nature of Science and Socioscientific Issues, Canadian Journal of Science, Mathematics and Technology Education, 15:3, 248-260, DOI: 10.1080/14926156.2015.1051671.
Yasin, M., Jauhariyah, D., Madiyo, M., Rahmawati, R., Farid, F., Irwandani, I., & Mardana, F, F., (2019). The Guided Inquiry To Improve Students Mathematical Critical Thinking Skills Using Student’s Worksheet. Journal for the Education of Gifted Young Scientists, 7(4), 1345-1360. DOI: http://dx.doi.org/10.17478/jegys.598422
Yu, K.C., Lin, K.Y., & Chang, S.F. (2015). An Exploratory Study on the Application of Conceptual Knowledge and Critical Thinking to Technological Issues. Int J Technol Des Educ, 25, 339–361. DOI 10.1007/s10798-014-9289-5
DOI: http://dx.doi.org/10.53712/sigma.v6i1.864
Refbacks
- There are currently no refbacks.
Indexed by:
Published by Prodi Pendidikan Matematika FKIP Universitas Madura
Jl. Raya Panglegur Km 3,5 Pamekasan
Phone: (0324) 322231
website: http://http://ejournal.unira.ac.id/index.php/jurnal_sigma/index
Email: math@unira.ac.id
SIGMA by Universitas Madura is licensed under a Creative Commons Attribution 4.0 International License.