DEVELOPING MATHEMATICS LEARNING TOOLS TO STIMULATE CRITICAL THINKING

Published 31 Aug 2019 •  vol 129  • 


Authors:

 

Dafid Slamet Setiana, Universitas Negeri Yogyakarta, Indonesia
Rusgianto Heri Santosa, Universitas Negeri Yogyakarta, Indonesia
Rita Eka Izzaty, Universitas Negeri Yogyakarta, Indonesia
Tutut Herawan, Universitas Negeri Yogyakarta, Indonesia

Abstract:

 

The purpose of this research was to produce the valid mathematics learning devices to stimulate critical thinking. The developmental model used in this study was a model developed by Borg and Gall as a major developmental model. It was modified by Dick and Carey model and Kemp (1994: 9) model (Real Research and Development). The subjects of the study were senior year students in science (IPA) class from six state senior high schools in Pacitan. The data were collected through test, questionnaire, observation, and interview. The data were analyzed using content and descriptive analysis techniques. The result of the research consisted of module, lesson plan, student worksheet, and a mathematics test on geometry transformation material that had been validated. The analysis results showed that the product met the validity criteria, as indicated by the percentage of 100% of expert judgments included in the valid category thus the product is worth of using.

Keywords:

 

Learning Device, Math, Critical Thinking

References:

 

[1] Notoatmodjo S., "Kesehatan dan Pembangunan Sumber Daya Manusia", Kesmas: National Public Health Journal, 2(5), (2008): 195-199.
[2] Hagen M. and D. Bouchard, "Developing and Improving Student Non-Technical Skills in IT Education: A Literature Review and Model", in Informatics. Multidisciplinary Digital Publishing Institute, (2016).
[3] AfBD O., "UNDP, 2015. African Economic Outlook 2015: Regional Development and Spatial Inclusion", Paris, OECD, available online http://dx. doi. org/10.1787/aeo-2015-en (retrieved 20 February 2017).
[4] Tjalla A., "Statika pendidikan", Jakarta: Depdiknas, (2008).
[5] Wolff L.-A., P. Sjöblom, M. Hofman-Bergholm, and I. Palmberg, "High Performance Education Fails in Sustainability?—A Reflection on Finnish Primary Teacher Education", Education Sciences, 7(1), (2017): 32.
[6] Jones L.R., G. Wheeler, and V.A. Centurino, "TIMSS 2015 science framework", TIMSS, (2015): 29-59.
[7] Pisa O., "Draft Science Framework”, (2015).
[8] Nyimas A., "Pengembangan Pembelajaran Matematika SD", Jakarta: Direktorat Jenderal Pendidikan Nasional, (2007).
[9] Dahlan J.A. and A. Rohayati, "Implementasi Strategi Pembelajaran Konflik Kognitif Dalam Upaya Meningkatkan High Order Mathematical Thinking Siswa", Jurnal Pendidikan. 13(2), (2012): 65-76.
[10] Onions P., "Thinking Critically An Introduction", Online),(http://patrickonions. org, diakses 20 Februari 2013). (2009).
[11] Scriven M. and R. Paul, "Defining Critical Thinking”, The critical thinking community: foundation for critical thinking, (2015).
[12] Snyder L. G. and M. J. Snyder, "Teaching critical thinking and problem solving skills", The Journal of Research in Business Education, 50(2), (2008): 90.
[13] Schafersman S.D., "An introduction to critical thinking”, Retrieved May 13, 2009, (1991).
[14] Tempelaar D.T., "The role of metacognition in business education", Industry and Higher Education, 20(5), (2006): 291-297.
[15] Facione P.A., "Critical Thinking: What It Is and Why It Counts", (2013).
[16] Onosko J.J. and F.M. Newmann, "Creating more thoughtful learning environments", Creating powerful thinking in teachers and students: Diverse perspectives, (1994): 27-49.
[17] Ennis R., "Critical thinking”, New Jersey: Prentice-Hall Inc. (1996).
[18] Lewis A. and D. Smith, "Defining higher order thinking", Theory into practice, 32(3), (1993): 131-137.
[19] Perkins C. and E. Murphy, "Identifying and measuring individual engagement in critical thinking in online discussions: An exploratory case study", Journal of Educational Technology & Society, 9(1), (2006).
[20] Krulik S. and J.A. Rudnick, "Innovative tasks to improve critical and creative thinking skills", from Developing Mathematical reasoning in Grades K-12, (1999): 138-145.
[21] Cobb P., T. Wood, E. Yackel, and B. McNeal, "Characteristics of classroom mathematics traditions: An interactional analysis", American educational research journal, 29(3), (1992): 573-604.
[22] Pithers R.T. and R. Soden, "Critical thinking in education: A review", Educational research, 42(3), (2000): 237-249.
[23] Moore B.N., R. Parker, and N. Rosenstand,"Critical thinking", McGraw-Hill Education, (2011).
[24] Shakirova D., "Technology for the shaping of college students' and upper-grade students' critical thinking", Russian Education & Society, 49(9), (2007): 42-52.
[25] Duplass J.A. and D.L. Ziedler, "Critical thinking and logical argument", Social Education, 66(5), (2002): M10-M10.
[26] Hemming H.E., "Encouraging critical thinking:" But... what does that mean?"", McGill Journal of Education. 35(2), (2000): 173.
[27] Wong D., "Beyond control and rationality: Dewey, aesthetics, motivation, and educative experiences", Teachers College Record. 109(1), (2007): 192-220.
[28] Firdaus F., I. Kailani, M.N.B. Bakar, and B. Bakry, "Developing Critical Thinking Skills of Students in Mathematics Learning", Journal of Education and Learning (EduLearn), 9(3), (2015): 226-236.
[29] Alatas F., "Hubungan pemahaman konsep dengan keterampilan berpikir kritis melalui model pembelajaran treffinger pada mata kuliah fisika dasar", Edusains, 6(1), (2014): 87-96.
[30] Aizikovitsh-Udi E. and M. Amit, "Developing the skills of critical and creative thinking by probability teaching", Procedia-Social and Behavioral Sciences, 15, (2011): 1087-1091.
[31] Rajendran N.,"Teaching & Acquiring Higher-Order Thinking Skills: Theory & Practice", Penerbit Universiti Pendidikan Sultan Idris, (2008).
[32] Vitasari P., T. Herawan, M.N.A. Wahab, A. Othman, and S.K. Sinnadurai, "Exploring mathematics anxiety among engineering students", Procedia-Social and Behavioral Sciences, 8, (2010): 482-489.
[33] Chukwuyenum A.N., "Impact of critical thinking on performance in mathematics among senior secondary school students in Lagos state", IOSR Journal of Research & Method in Education, 3(5), (2013): 18-25.
[34] Henningsen M. and M.K. Stein, "Mathematical tasks and student cognition: Classroom-based factors that support and inhibit high-level mathematical thinking and reasoning", Journal for research in mathematics education, (1997): 524-549.
[35] Mathematics N.C.o.T.o.,"Principles and standards for school mathematics", Vol. 1. National Council of Teachers of (2000).
[36] Innabi H. and O. El Sheikh, "The change in mathematics teachers' perceptions of critical thinking after 15 years of educational reform in Jordan", Educational Studies in Mathematics, 64(1), (2007): 45-68.
[37] Mason J., L. Burton, and K. Stacey, "Thinking mathematically", Pearson. (2010).
[38] Jacob S.M., "Mathematical achievement and critical thinking skills in asynchronous discussion forums", Procedia-Social and Behavioral Sciences, 31, (2012): 800-804.
[39] Semerci C., "The influence of critical thinking skills on students’ achievement", Pakistan Journal of Social Sciences. 3(4), (2005): 598-602.
[40] Silver E.A. and P.A. Kenney, "Sources of assessment information for instructional guidance in mathematics", Reform in school mathematics and authentic assessment, (1995): 38-86.
[41] Skinner B.F., "Reflections on behaviorism and society", (1978).
[42] Schlick-Steiner B.C., F.M. Steiner, B. Seifert, C. Stauffer, E. Christian, and R.H. Crozier, "Integrative taxonomy: a multisource approach to exploring biodiversity", Annual review of entomology, 55, (2010): 421-438.
[43] Palmer J.A., "Pemikir Pendidikan dari Piaget sampai Masa Sekarang", Yogyakarta: Jendela.
[44] Santrock J., "Psikologi pendidikan.(terjemahan Tri Wibowo BS) New York", Mcgraw-Hill.(Buku asli diterbitkan tahun 2004), (2008).
[45] Bloom B.S., "Taxonomy of educational objectives. New York: David McKay Company", Inc. Google Scholar, (1956).
[46] Anderson L.W., D.R. Krathwohl, P. Airasian, K. Cruikshank, R. Mayer, P. Pintrich, J. Raths, and M. Wittrock, "A taxonomy for learning, teaching and assessing: A revision of Bloom’s taxonomy", New York. Longman Publishing. Artz, AF, & Armour-Thomas, E.(1992). Development of a cognitive-metacognitive framework for protocol analysis of mathematical problem solving in small groups. Cognition and Instruction, 9(2), (2001): 137-175.
[47] Fink L.D., "A self-directed guide to designing courses for significant learning", University of Oklahoma, 27, (2003): 11.
[48] Potts B., "Strategies for Teaching Critical Thinking. ERIC/AE Digest", (1994).
[49] Borg W.R. and M.D. Gall,"Instructor's Manual for Educational Research: To Accompany Educational Research: an Introduction", Longman, (1983).
[50] Dick W., L. Carey, and J.O. Carey, "The systematic design of instruction", (2005).
[51] Morrison G., S. Ross, and J. Kemp, "Designing Effective Instruction".
[52] Ramadhan S. and D. Mardapi, "Estimasi Kesalahan Baku Pengukuran Soal-Soal UAS Fisika Kelas XII SMA di Kabupaten Bima NTB", Jurnal Evaluasi Pendidikan, 3(1), (2015): 90-98.
[53] Yaghmaei F., "Content validity and its estimation", (2003).
[54] Riduwan M., "Belajar Mudah Penelitian Untuk Guru-Karyawan dan Peneliti Pemula", Bandung: Alfabeta, (2006).
[55] Belawati T., "Pengembangan bahan ajar", Jakarta: Universitas Terbuka, (2003).

Citations:

 

APA:
Utomo, H. B., Musyadad, F., & Yunanto, D. (2019). Assessment Model for Effective Schools. International Journal of Advanced Science and Technology (IJAST), ISSN: 2005-4238(Print); 2207-6360 (Online), NADIA, 129, 81-88. doi: 10.33832/ijast.2019.129.07.

MLA:
Utomo, Heru Budi, et al. “Assessment Model for Effective Schools.” International Journal of Advanced Science and Technology, ISSN: 2005-4238(Print); 2207-6360 (Online), NADIA, vol. 129, 2019, pp. 81-88. IJAST, http://article.nadiapub.com/IJAST/Vol129/7.html.

IEEE:
[1] H. B. Utomo, F. Musyadad, and D. Yunanto, “Assessment Model for Effective Schools.” International Journal of Advanced Science and Technology (IJAST), ISSN: 2005-4238(Print); 2207-6360 (Online), NADIA, vol. 129, pp. 81-88, Aug. 2019.