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Abstract
Kemampuan memahami matematika sebagai ilmu dan kemampuan mengemplementasikan pendekatan-pendekatan pengajaran. Kemampuan pertama diperlukan untuk menyusun materi pembelajaran dan evaluasi sesuai dengan kompetensi yang ingin dicapai dengan materi tersebut. Kemampuan ini mencakup pemahaman konsep, pemahamani contoh, dan pemahaan hasil. Kemampuan akan ditunjukkan oleh kesesuaian konteks yang dipilih dengan sifat-sifat alami dari materi dan rumusan kompetensi yang ingin dicapai. Kemampuan kedua diperlukan untuk mendesain pengajaran yang akan mengoptimalkan aktivitas sosial di dalam kelas untuk mengekplorasi potensi siswa secara optimal. Kemampuan ini akan ditunjukkan oleh terjadi respon positif siswa terhadap materi yang telah dirancang oleh guru, interaksi aktif antara siswa.
DOI: 10.22342/jpm.3.1.318
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References
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References
Burton, Grace M. (1992). Using Linguage Arts to Promote Mathematics Learning. The Mathematics Journal. Vol. 3, No. 2.
Dörfler, W. (2007). Making Mathematics more Mundane-a Semiotic Approach. Proceedings of the 31th Conference of the International Group for the Psychology of Mathematics Education, Vol 1: p. 105-108.
Harel, G., dan Tall, D., (1989). The General, the Abstract, and the Generic in Advanced Mathematics. For the Learning of Mathematics, 11 no.1: p. 38-42.
Klipatrick, J., Swafford, J., dan Findell, B. (2002). Adding it up: Helping Children Learn Mathematics. The National Academies Press. Buku dapat diakses pada web. Diakses 02/04/04: http://www.nap.edu/books/0309069955/html/index.html.
Lapp, D., dan Flood, J. (1978). Teaching Reading to Every Child. New York: Macmillan. Michener, E., R.(1978). Understanding Mathematics, Report, A.I. Memo-488. Massachusetts Institute of Technology.
Niss, M. (2002). Mathematical Competencies and the Learning of Mathematics. Uddanelse. Polya, G. (1962). Mathematics Discovery, Vol.2. Wiley, New York.
Raju, R., K., (2001). Computers, mathematics education, and the alternative epistemology of the calculus in the Yuktibhâsâ. Philosophy East & West 51(3). P. 325–62.
Raymond, Anne M., dan Lienenbach, M. (2000). Collaborative Action Research on the Learning and Teaching of Algebra: A Story of one Mathematics Teacher’s Development. Educational Studies in Mathematics 41: p. 283-307.
Schoenfeld, alan, (1992). Learning to Think Mathematically: Problem Solving, Metacognition, and Sense-Making in Mathematics. Diaskes 05/09/09: http://www.gse.berkeley.edu/faculty/aschoenfeld/Learning/ToThink/Learning_to_think_ma th.html.
Wittmann, Erich Ch., (2007). Mathematics as the Science of Patterns-from the Very Beginning. Proceeding of the Conference of the Future of Mathematics Education in Europe, Lisbon, 17-19 Dec’2007.
Zulkardi. (2002). Development a Learning Environment on Realistics Mathematics Education (RME) for Indonesian Student Teachers. Dissertation. University of Twente, Enschede. The Netherlands.