Toheri, Toheri and Winarso, Widodo (2017): Mathematical Thinking Undefended on The Level of The Semester for Professional Mathematics Teacher Candidates.
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Abstract
Mathematical thinking skills are very important in mathematics, both to learn math or as learning goals. Thinking skills can be seen from the description given answers in solving mathematical problems faced. Mathematical thinking skills can be seen from the types, levels, and process. Proportionally questions given to students at universities in Indonesia (semester I, III, V, and VII). These questions are a matter of description that belong to the higher-level thinking. Students choose 5 of 8 given problem. Qualitatively, the answers were analyzed by descriptive to see the tendency to think mathematically used in completing the test. The results show that students tend to choose the issues relating to the calculation. They are more use cases, examples and not an example, to evaluate the conjecture and prove to belong to the numeric argumentation. Used mathematical thinking students are very personal (intelligence, interest, and experience), and the situation (problems encountered). Thus, the level of half of the students are not guaranteed and shows the level of mathematical thinking.
Item Type: | MPRA Paper |
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Original Title: | Mathematical Thinking Undefended on The Level of The Semester for Professional Mathematics Teacher Candidates |
Language: | English |
Keywords: | Mathematical Thingking, Personal, Situation |
Subjects: | I - Health, Education, and Welfare > I2 - Education and Research Institutions I - Health, Education, and Welfare > I2 - Education and Research Institutions > I20 - General I - Health, Education, and Welfare > I2 - Education and Research Institutions > I21 - Analysis of Education I - Health, Education, and Welfare > I2 - Education and Research Institutions > I24 - Education and Inequality I - Health, Education, and Welfare > I2 - Education and Research Institutions > I29 - Other |
Item ID: | 78486 |
Depositing User: | widodo winarso |
Date Deposited: | 19 Apr 2017 10:58 |
Last Modified: | 27 Sep 2019 18:51 |
References: | Aizikovitsh-Udi, E., & Cheng, D. (2015). Developing critical thinking skills from dispositions to abilities: mathematics education from early childhood to high school. Creative Education, 6(04), 455. Retrieved from http://dx.doi.org/10.4236/ce.2015.64045 Breen, S., & O'Shea, A. (2011). The use of mathematical tasks to develop mathematical thinking skills in undergraduate calculus courses–a pilot study. Proceedings of the British Society for Research into Learning Mathematics, 31(1), 43-48. Retrieved from http://eprints.maynoothuniversity.ie/4905/1/AOS_BSRLM-IP-31-1-08.pdf Darling-Hammond, L. (2006). Constructing 21st-century teacher education. Journal of teacher education, 57(3), 300-314. Retrieved from DOI: 10.1177/0022487105285962 Dede, C. (Ed.). (2006). Online professional development for teachers: Emerging models and methods. Cambridge, MA: Harvard Education Press. Retrieved from https://www.learntechlib.org/p/23512. Ferri, R. B. (2012). Mathematical Thinking Styles And Their Influence On Teaching and Learning Mathematics. In 12th International Congress on Mathematical Education. 8 – 15 July, Seoul, Korea Selatan. Fonkert, K. L. (2012). Patterns of interaction and mathematical thinking of high school students in classroom environments that include use of Java-based, curriculum-embedded software. Dissertations. Paper 26. Retrieved from http://dx.doi.org/10.1.1.979.3545&rep=rep1&type=pdf Happy, N., Listyani, E., & Si, M. (2011). Improving The Mathematics Critical And Creative Thinking Skills In Grade 10 th SMA Negeri 1 Kasihan Bantul On Mathematics Learning Through Problem-Based Learning (PBL). In Makalah disajikan dalam International Seminar and The Fourth National Conference on Mathematics Education, Departement of Mathematics Education, di Universitas Negeri Yogyakarta. Hu, Q, (2014).The Algebraic Thinking of Mathematics Teachers in China and the U.S. PhD diss., University of Tennessee. Retrieved from http://trace.tennessee.edu/utk_graddiss/3138 Karadag, Z. (2009). Analyzing Students’mathematical Thinking In Technology-Supported Environments (Doctoral dissertation, University of Toronto). Retrieved from https://tspace.library.utoronto.ca/bitstream/1807/19128/1/Karadag_Zekeriya_200911_PhD_thesis.pdf Katagiri, S. (2004). Mathematical thinking and how to teach it. CRICED, University of Tsukuba. Retrieved from http://e-archives.criced.tsukuba.ac.jp/data/doc/pdf/2009/02/Shigeo_Katagiri.pdf Krathwohl, D. R. (2002). A revision of Bloom's taxonomy: An overview. Theory into practice, 41(4), 212-218. Retrieved from http://dx.doi.org/10.1207/s15430421tip4104_2 Lexy, J. M. (2010). Qualitative Research Methodology. Bandung: Remaja Rosdakarya. Marzano, R. J. (1988). Dimensions of thinking: A framework for curriculum and instruction. The Association for Supervision and Curriculum Development, 125 N. West St., Alexandria, VA 22314-2798. Retrieved from http://eric.ed.gov/?id=ED294222 Mason, J., Burton, L., & Stacey, K. (2010). Thinking mathematically. Second Edition, England: Pearson Education Limited. Mathematical Association, & Mathematical association. Boys' schools committee. (1965). The Teaching of algebra in schools: a report prepared for the Mathematical Association. G. Bell. Merriam, S. B. (1998). Qualitative Research And Case Study Applications In Education. Revised and expanded from. Jossey-Bass Publishers, 350 Sansome St, San Francisco, CA 94104. Mertens, D. M. (2014). Research and evaluation in education and psychology: Integrating diversity with quantitative, qualitative, and mixed methods. Sage publications. Morse, J. M., Barrett, M., Mayan, M., Olson, K., & Spiers, J. (2002). Verification strategies for establishing reliability and validity in qualitative research. International journal of qualitative methods, 1(2), 13-22. Retrieved from http://dx.doi.org/10.1177/160940690200100202 Pólya, G. (1990). Mathematics and plausible reasoning: Induction and analogy in mathematics (Vol. 1). Princeton University Press. Rahmatya, N. (2013). Mengembangkan Karakter Siswa Dalam Pembelajaran Matematika Dengan Pendekatan Kontekstual. In Prosiding Seminar Nasional Matematika dan Pendidikan Matematika. Jurusan Pendidikan Matematika FMIPA UNY. Retrieved from http://eprints.uny.ac.id/10784/1/P%20-%2061.pdf Scusa, T. (2008). Five processes of mathematical thinking. Summative Projects for MA Degree. Retrieved from http://digitalcommons.unl.edu/mathmidsummative/38 Sevimli, E., & Delice, A. (2012). The relationship between students' mathematical thinking types and representation preferences in definite integral problems. Research in Mathematics Education, 14(3), 295-296. Retrieved from http://dx.doi.org/10.1080/14794802.2012.734988 Siswono, T. Y. E. (2014). Leveling Students’creative Thinking In Solving And Posing Mathematical Problem. Journal on Mathematics Education, 1(1), 17-40. Retrieved from http://ejournal.unsri.ac.id/index.php/jme/article/viewFile/794/219 Stacey, K. (2006). What is mathematical thinking and why is it important. Progress report of the APEC project: collaborative studies on innovations for teaching and learning mathematics in different cultures (II)—Lesson study focusing on mathematical thinking. Retrieved from http://e-archives.criced.tsukuba.ac.jp/data/doc/pdf/2009/02/Kaye_Stacey.pdf Stein, M. K., Grover, B. W., & Henningsen, M. (1996). Building student capacity for mathematical thinking and reasoning: An analysis of mathematical tasks used in reform classrooms. American educational research journal, 33(2), 455-488. Retrieved from http://www.jstor.org/stable/1163292 Sumarmo, U., & NISHITANI, I. (2010). High Level Mathematical Thinking. 群馬大学教育学部紀要 自然科学編, 58, 9-22. Retrieved from https://gair.media.gunma-u.ac.jp/dspace/bitstream/10087/5130/1/03_Nishitani.pdf Suri, H. (2011). Purposeful sampling in qualitative research synthesis. Qualitative Research Journal, 11(2), 63-75. Retrieved from http://dx.doi.org/10.3316/QRJ1102063 Suryadi, D. (2010). Menciptakan Proses Belajar Aktif: Kajian dari Sudut Pandang Teori Belajar dan Teori Didaktik. Retrieved from http://didi-suryadi. staf. upi. edu/files/2011/06/MENCIPTAKAN-PROSES-BELAJAR-AKTIF. pdf.[13 November 2012]. Tabach, M., Levenson, E., Barkai, R., Tirosh, D., Tsamir, P., & Dreyfus, T. (2010). Secondary school teachers' awareness of numerical examples as proof. Research in Mathematics Education, 12(2), 117-131. Retrieved from http://dx.doi.org/10.1080/14794802.2010.496973 Tabach, M., Levenson, E., Barkai, R., Tirosh, D., Tsamir, P., & Dreyfus, T. (2010). Secondary school teachers' awareness of numerical examples as proof. Research in Mathematics Education, 12(2), 117-131. Retrieved from http://dx.doi.org/10.1080/14794802.2010.496973 Zazkis, R., & Chernoff, E. J. (2008). What makes a counterexample exemplary?. Educational Studies in Mathematics, 68(3), 195-208. Retrieved from http://dx.doi.org/10.1007/s10649-007-9110-4 |
URI: | https://mpra.ub.uni-muenchen.de/id/eprint/78486 |