DAFTAR PUSTAKA Alexander, K. L. (2007). Effects Instruction in Creative Problem Solving on Cognition, Creativity, and Satisfaction among Ninth Grade Students in an Introduction to World Agricultural Science and Technology Course. Disertasi pada Faculty of Texas Tech University. [Online]. Tersedia: http://etd.lib.ttu.edu/theses/available/etd-01292007-44648/unrestricted/ Alexander_ Kim_Dissertation.pdf. [9 Mei 2012] Arikunto, S. (2009). Dasar-dasar Evaluasi Pendidikan. Bumi Aksara: Jakarta Arnawa, M. (2006). Meningkatkan kemampuan Pembuktian Mahasiswa dalam Aljabar Abstrak melalui Pembelajaran Berdasarkan Teori APOS. Disertasi Doktor pada SPs UPI. Bandung: Tidak Diterbitkan. Asiala, M. et. al. (1997). “The development of students’ graphical understanding of the derivative”. Journal of Mathematical Behavior. 16(4), 399-431. Asiala, M. et al. (2004). “A Framework for Research and Curriculum Development in Undergraduate Mathematics Education”. Dalam E. Dubinsky et al. (ed.). Reading in: Cooperative Learning for Undergraduate Mathematics. Washington DC: The Mathematical Association of America. Asiala, M. et. al.. (1998). “The development of students’ understanding of permutations and symmetrics”. International Journal of Computers for Mathematical Learning. 3, 13-43. A. Gutiérrez, P. Boero (eds.). (2006). Handbook of Research on the Psychology of Mathematics Education. 147–172. Awang, H. dan Ramli, I. (2008). “Creative Thinking Skill Approach Through Problem-Based Learning: Pedagogy and Practice in the Engineering Classroom”. International Journal of Social Sciences. Azwar, S. (2009). Sikap Manusia, Teori dan Pengukurannya. Pustaka Pelajar: Yokyakarta. Baig, S. dan Halai, A. (2006). “Learning Mathematical Rules with Reasoning”. Eurasia Journal of Mathematics, Science, and Technology Education. Volume 2, Number 2, July. Borich, G. D. (1994). Observation Skill for Effective Teaching. Englewood Clif fs: Merril Publisher. ELDA HERLINA, 2015 PENINGKATAN KEMAMPUAN ADVANCED MATHEMATICAL THINKING DAN DISPOSISI BERPIKIR KREATIF MATEMATIS MAHASISWA MELALUI PENDEKATAN M-APOS Universitas Pendidikan Indonesia | repository.upi.edu | perpustakaan.upi.edu
282
Bosch, N. (1997). Rubric for Creative Thinking Skills Evaluation. [Online]. Tersedia www.adifferentplace.org/creative thinking htm. [5 Januari 2013] Brown, et. al. (1997). “Learning binary operations, groups, and subgroups”. International Journal of Mathematical Behavior. 16(3), 187-239. Cappetta, R. W. (2007). “Reflective Abstraction And The Concept Of Limit: A Quasi-Experimental Study To Improve Student Performance in College Calculus By Promoting Reflective Abstraction Through Individual, Peer, Instructor And Curriculum Initiates” Makalah pada AMATYC 33rd Annual Conference, Minneapolis. Chiappini, G., Bazzini, L., and Arzarello, F. (2005) A Model for Analysing Algebraic Processes of Thinking. Studies in Mathematics Education Series 4. Depdiknas. (2004). Kurikulum 2004 Standar Kompetensi Mata Pelajaran Matematika Sekolah Menengah Atas (SMA) dan Madrasah Aliyah (MA). Jakarta: Pusat Kurikulum, Balitbang Depdiknas. Dubinsky, E. et al. (1994). “On Learning Fundamental Concepts of Group Theory”. Educational Studies in Mathematics, 27(3), 267-305. Dubinsky,E. and McDonald, M. (2001). “APOS: A Constructivist Theory of Learning in Undergraduate Mathematics Education Research”. Dalam D. Holton (ed.). The Teaching and Learning of Mathematics at University Level. Dordrecht: Kluwer Academic Publishers. Dubinsky and G. Harel. (2002). The concept of function: Aspects of epistemology and pedagogy, MAA. Dubinsky, E dan Tall, D. (2002). “Reflective abstraction in advanced mathematical thinking”. Boston: Kluwer. Ennis, R.H. (1996). Critical Thinking. Toronto: Prentice-Hall, Inc. Evans, J.R. (1991). Creative Thinking in the Decision and Management Sciences. Cincinnati: South-Western Publishing Co. Ferrari, P.L. (2003). Abstraction in Mathematics. The Royal Society. Phil. Trans. R. Soc. Lond. B. 358. Fisher, R. (1995). Thinking Children to Think, Cheltenham, London: Nelson Thornes Ltd. ELDA HERLINA, 2015 PENINGKATAN KEMAMPUAN ADVANCED MATHEMATICAL THINKING DAN DISPOSISI BERPIKIR KREATIF MATEMATIS MAHASISWA MELALUI PENDEKATAN M-APOS Universitas Pendidikan Indonesia | repository.upi.edu | perpustakaan.upi.edu
283
Frei, S. (2008). Teaching Mathematics Today. Shell Education Gagatsis, A. and Elia, I. (2004). “The Role of Representation in Secondary Mathematics Education. Proceeding of 10th International congress on Mathematical Education. Vol. 2, pp. 447-454. Goldin, G. A. (2002). Representation in Mathematical Learning and Problem solving. International Research in Mathematical Education IRME. 197-218. G. Carmona. (1996). “The concept of tangent and its relationship with the concept of derivative”. International Journal Of Mathematical Education In Science & Technology. Grinnel, Jr., R. M. (1998). Social work research and evaluation. Illionis: F.E. Peacock Pub. Inc. Hailikari, T. (2009). Assessing university students’ prior knowledge: Implications for theory and practice. Finland: Helsinki University Hake, R.R. (1999). Analyzing Change/Gain Scores. Woodland Hills: Dept. of Physics, Indiana University. [Online]. Tersedia: http://www.physics. ndiana.du/~sdi/AnalyzingChange-Gain.pdf [2 Januari 2013] Hanna, G. (1991). “Mathematical Proof”. Dalam D. Tall (ed.). Advanced Mathematical Thinking. Dordrecht: Kluwer Academic Publishers. Hanna, G. & Jahnke, N. (1996). “Proof and Proving”. Dalam A. J. Bishop et al. (ed.). International Handbook of Mathematics Education. Dordrecht: Kluwer Academic Publishers. Harel, G. & Sowder, L. (2005). Advanced Mathematical-Thinking at Any Age: Its Nature and Its Development. Mathematical Thinking and Learning. Vol. 7 No. 1 pp. 27-50. Harel, Selden & Selden. 2006. Advanced Mathematical Thinking. Handbook of Research on Psychology of Mathematics Education, page 147- 172. Harries, T and Barmby, P. (2006). Representation multiplication. Proceeding of the British Society for Research into Learning Mathematics. 26 (3), 25-30. Hudojo, H, & Wahyudin. (2006). Koleksi Materi Kapita Selekta Pembelajaran Matematika. Malang & Bandung: FPMIPA UM & UPI. ELDA HERLINA, 2015 PENINGKATAN KEMAMPUAN ADVANCED MATHEMATICAL THINKING DAN DISPOSISI BERPIKIR KREATIF MATEMATIS MAHASISWA MELALUI PENDEKATAN M-APOS Universitas Pendidikan Indonesia | repository.upi.edu | perpustakaan.upi.edu
284
Hudgins, B.B. et. al. (1983). Educational Psychology. Illinois: F.E. Peaccock Publishers, Inc. Hwang, et. al. (2007). Multiple Representation Skills and Creativity Effect on Mathematical Problem Solving Using a Multimedia Whiteboard System. Educational Technology & society. Vol. 10 No. 2 pp. 191-212. Janvier, C. (1987). Problems of representation in the teaching and Learning of Mathematics, Hillsdale, New Jersey. London:Lawrence Erlbaum J. Clark, et. al. (1997). Constructing a schema: The case of the chain rule, International Journal of Mathematical Behavior. 16(4), 345-364 Kalathil, R.R., and Sherin, M.G. (2000). Role of Students’ Representation in the Mathematics Classroom. In B Fishman & S. O’Connor-Divelbiss (Eds). Fourth international Conference of the learning sciences (pp. 27-28). Mahwah, NJ:Erlbaum Kirschner, Sweller, and Clark. (2006). Why Minimal Guidance During Instruction Does Not Work: An Analysis of the Failure of Constructivist, Discovery, Problem-Based, Experiential, and Inquiry-Based Teaching. Educational Psychologist. Vol.41 No. 2 pp. 75-86 Klopper, M. and Grosser, M. (2014). The Critical Thinking Disposition of Prospective Mathematics Teacher at a South African University: New Direction for Teacher Training. International Journal Education Science. Vol.7 No. 3 pp. 413-427 Knapp, Jessica. (2006). A Framework to Examine Definition use in Proof. Proceeding of the North American Chapter of the International Group for the PME. Koichu, B. (2010). On the relationships between (relatively) advanced mathematical knowledge and (relatively) advanced problem-solving behaviours. International Journal of Mathematical Education in Science & Technology Krulick, S and Rudnick, J.A. (1999). Innovative Tasks to Improve Critical and Creative-Thinking Skills. dalam Lee V. Stiff dan Frances R. Curcio (edt). Developing Mathematical Reasoning in Grades K-12, 138-145. Virginia: NCTM. Krutetskii, V.A. (1996). The Psychology of Mathematical Abilities in School Children. Chicago: The University of Chicago Press. ELDA HERLINA, 2015 PENINGKATAN KEMAMPUAN ADVANCED MATHEMATICAL THINKING DAN DISPOSISI BERPIKIR KREATIF MATEMATIS MAHASISWA MELALUI PENDEKATAN M-APOS Universitas Pendidikan Indonesia | repository.upi.edu | perpustakaan.upi.edu
285
Kusumah, Y.S. (2011). Aplikasi Teknologi Informasi dan Komunikasi dalam Pembelajaran Matematika untuk Meningkatkan Kemampuan Matematis Siswa. Makalah disampaikan dalam Kegiatan Pelatihan Aplikasi Teknologi dan Informasi dalam Pembelajaran Matematika di Program Studi Pendidikan Matematika SPs UPI. Bandung pada tanggal 16 Desember 2011. -------------------(2011). Pemanfaatan Teknologi Informasi dan Komunikasi dalam Pembelajaran Matematika. Makalah disampaikan dalam Kegiatan Seminar Nasional Pendidikan Matematika di Program Studi Pendidikan Matematika SPs UPI. Bandung pada tanggal 16 Desember 2011. Ledesma, E. (2011). Problems Solving Using Different Registers of Representation. Problems of Education In The 21St Century. 3617-27. Leron, U.& Dubinsky, E. (1995). “An Abstract Algebra Story”. American Mathematical Monthly, 102 (3), 227-242.
Mathematical Creativity and School Mathematics: Indicators of Mathematical Creativity in Middle School Students. A
Mann, E.L. (2005).
Dissertation of Doctor of Philosophy at the University of Connecticut. Tersedia http://www.gifted.uconn.edu/Siegle/Dissertations/Eric%20 Mann. pdf [2 Maret 2010]. M. Artigue, (1998). Enseñanza y aprendizaje del análisis elemental: ¿qué se puede aprender de las investigaciones didácticas y los cambios curriculares? Revista Latinoamericana de Investigación en Matiemática Educativa. McGregor, D. (2007). Developing Thinking Developing Learning. Poland: Open University Press. Meltzer, D.E. (2002). Addendum to the relationship between mathematics preparation and conceptual learning gain in physics: a possible hidden variable in diagnostics pretest scores. Tersedia: http://www. Physics.iastate.edu/per/docs/Addendum on normalized gain. Munandar, U. (2013). Pengembangan Kreativitas Anak Berbakat. Jakarta: Rineka Cipta. Nam, O. K., Sook, J. P., & Hyun, J. P. (2006). Cultivating Divergent Thinking in Mathematics through an Open_Ended Approach. Asia Pasific education Review. Vol.7 No. 1 pp. 51-61.
ELDA HERLINA, 2015 PENINGKATAN KEMAMPUAN ADVANCED MATHEMATICAL THINKING DAN DISPOSISI BERPIKIR KREATIF MATEMATIS MAHASISWA MELALUI PENDEKATAN M-APOS Universitas Pendidikan Indonesia | repository.upi.edu | perpustakaan.upi.edu
286
National Council of Teachers of Mathematics. (2000). Principles and Standars for School Mathematics. Reston, V.A: NCTM, Inc. Nurlaelah, (2009). Pencapaian daya dan Kreativitas Matematik Mahasiswa Calon Guru melalui Pembelajaran berdasarkan Teori APOS. Disertasi Doktor pada SPs UPI. Bandung: Tidak Diterbitkan. Ostad, S.A. Memahami dan Menangani Bilangan. [Online]. Tersedia http://www.idp-europe.org/indonesia/buku-inklusi/13memahami_dan_menangani_bilangan.pdf
Polla, G. (2000). Efforts to Increase Mathematics for All through Communication in Mathematics Learning. [online]. Tersedia: www.icme-organisers.dk [15 Mei 2012] Pimm, D. (2005). A nother Psychology of Mathematics Education. Studies in Mathematics Education Series 4 Powers, R. A., Craviotto, C., & Grassl, R. M. (2010). “Impact of proof validation on proof writing in abstract algebra”. International Journal of Mathematical Education In Science & Technology. Proclus. (2006). Hystory Geometri. [Online]. Tersedia. http://www-history.mcs.st andrews.ac.uk/Extra/Proclus_history_geometry.html
Radford, L. (2001). Rethinking Representation. [Online]. Tersedia: http://matedu .cinvestav. mx/Radford.pdf Ramirez, M.C. (2006). A Mathematical Problem-Formulating Strategy, Int. J. for Mathematics Teaching and Learning, December, tersedia http://www.romai.ro/documente_poze/Conferinte/Caim08/CAIM_2008_Abst racts.pdf [20 Januari 2012]. Rasmussen, Zandieh, Karen & Teppo (2005). “Advancing Mathematical Activity: A Practice-Oriented View of Advanced Mathematical Thinking”. International Journal of Mathematical Thinking and Learning. Vol.7 No. 1 pp. 51-73 Rosengrant, D. (2005). An Overview of Recent Research on Multiple Representations. [Online]. Tersedia: http//paer.rutgers.edu/scientificAbilities /downloads/papers/DavidRosperc2011.pdf Ruseffendi, E.T. (2005). Penilaian Pendidikan dan Hasil Belajar Siswa Khususnya dalam Pengajaran Matematika. Diktat Kuliah: Tidak diterbitkan ELDA HERLINA, 2015 PENINGKATAN KEMAMPUAN ADVANCED MATHEMATICAL THINKING DAN DISPOSISI BERPIKIR KREATIF MATEMATIS MAHASISWA MELALUI PENDEKATAN M-APOS Universitas Pendidikan Indonesia | repository.upi.edu | perpustakaan.upi.edu
287
Sabandar, J ( 2005). Pendekatan Konflik Kognitif pada Pembelajaran Matematika dalam upaya mengembangkan Kemampuan Berpikir Kritis dan Kreatif. National Seminar On Operation Research , FMIPA UNPAD. -------------- (2008). Berpikir Reflektif. Makalah disampaikan pada Seminar Nasional Pendidikan Matematika Program Studi Pendidikan Matematika FKIP Universitas Riau di Pekanbaru pada tanggal 5 Februari 2008 Sagala, S. (2009). Konsep dan Makna Pembelajaran. Bandung: Alfabeta. Samparadja, H. (2014). Pengaruh Pendekatan Induktif-Deduktif Berbasis Definisi Termodifikasi dalam Pembelajaran Struktur Aljabar terhadap Peningkatan Kemampuan Pembuktian dan Disposisi Berpikir Kreatif Matematis Mahasiswa. Disertasi Doktor pada SPs UPI. Bandung: Tidak Diterbitkan. Sanjaya, W. (2010). Strategi Pembelajaran Berorientasi Standar Proses Pendidikan. Jakarta: Kencana Prenada Media Group. Slavin, R., E. (1994). Educational Psychology Theory and Practice. Boston: Allyn and Bacon. Stacey, K. (2008). What is Mathematical Thinking and Why is It Important: Objective Learning Materials. Stewart, S., and Thomas, M. J. (2007). “Embodied, symbolic and formal thinking in linear algebra”. International Journal of Mathematical Education In Science & Technology. ------------------------------- (2009). “A framework for mathematical thinking: the case of linear algebra”. International Journal of Mathematical Education In Science & Technology. Suherman, E. dan Kusumah, Y.S. (1990). Petunjuk Praktis untuk Melaksanakan Evaluasi Pendidikan Matematika. Bandung: Wijaya Kusumah Sugiyono. (2011). Metode Penelitian Pendidikan. Bandung: Alfabeta. Sudijono, A. (2001). Pengantar Evaluasi Pendidikan. Jakarta: Raja Grafindo Persada. Sumantri, B. (1997). Model Linier Terapan, Buku III: Analisis Ragam. Jurusan Statistika FMIPA-IPB. Diterjemahkan dari: Neter, J., Wasserman, W., ELDA HERLINA, 2015 PENINGKATAN KEMAMPUAN ADVANCED MATHEMATICAL THINKING DAN DISPOSISI BERPIKIR KREATIF MATEMATIS MAHASISWA MELALUI PENDEKATAN M-APOS Universitas Pendidikan Indonesia | repository.upi.edu | perpustakaan.upi.edu
288
Kutner, M. (1990). Applied Kinier Statistical Model, Third Edition, Richard, D. Irwin, Inc., Homewood: Illinois. Sumarmo. (2004). Kemandirian Belajar: Apa, Mengapa, dan Bagaimana dikembangkan pada Peserta Didik. Makalah Disajikan pada Seminar Pendidikan Matematika FMIPA Universitas Negeri Yokyakarta, Tanggal 8 Juli 2004. Tidak Diterbitkan -------------- (2005). Pengembangan Berpikir Matematik Tingkat Tinggi Siswa SLTP dan SMU Serta Mahasiswa Strata Satu Melalui Berbagai Pendekatan Pembelajaran. Laporan Hibah Penelitian Tim Pascasarjana HTPT Tahun Ketiga. -------------. (2011). Advanced Mathematical Thinking and Habits of Mind Mahasiswa. Hand Out Perkuliahan. -------------, (2013) Kumpulan Makalah: Berpikir dan Disposisi Matematik Serta Pembelajarannya. Bandung: FPMIPA UPI Suparno, P. (2001). Filsafat Konstruktivisme dalam Pendidikan. Yokyakarta: Kanisius. -----------------------------. Teori Perkembangan Kognitif Jean Piaget. Yokyakarta: Kanisius. Suryadi, D. (2005). Penggunaan Pendekatan Pembelajaran Tidak Langsung serta Pendekatan Gabungan Langsung dan Tidak Langsung dalam Rangka Meningkatkan Kemampuan Berpikir Matematik Tingkat Tinggi Siswa SLTP. Disertasi pada PPs UPI Bandung: tidak diterbitkan. -------------- (2012). Membangun Budaya Baru dalam Berpikir Matematis. Bandung: Rizqi Press. Suyono, et. al. (2011). Belajar dan Pembelajaran. Bandung: Remaja Rosdakarya. Tall, D. (1995) Cognitive Growth in Elementary and Advanced Mathematical Thinking. Mathematics Education Research Centre. Warwick Institute of Education University of Warwick -----------. (2002). “Advanced Mathematical Thinking”.Boston: Kluwer Tutorial SPSS 17 [Statistical Software]. (2008). Chicago:SPSS Inc.
ELDA HERLINA, 2015 PENINGKATAN KEMAMPUAN ADVANCED MATHEMATICAL THINKING DAN DISPOSISI BERPIKIR KREATIF MATEMATIS MAHASISWA MELALUI PENDEKATAN M-APOS Universitas Pendidikan Indonesia | repository.upi.edu | perpustakaan.upi.edu
289
VanSpronsen, H. D. (2008). Proof Processes of Novice Mathematics Proof Writers. Disertasi pada The University of Montana Missoula: Tidak Dipublikasikan. Vygotsky, L.S. (1978). Mind in Society. Cambridge, MA: Harvard University Press. Weber, K. (2001). Student difficulty in constructing proofs: The need for strategic knowledge. Educational Studies in Mathematics. 48, 101-119. West Contra Costa Unifield School District. (2004). Grade 2 Mathematical Reasoning Rubric. White, P., and Mitchelmore, M. C. (2010). Teaching for Abstraction: A Model. Mathematical Thinking & Learning. Available from: Education Research Complete, Ipswich, MA. Accessed March 4, 2012. Yerizon, (2011). Peningkatan Kemampuan Pembuktian Matematis dengan Pendekatan Modifikasi APOS pada Mahasiswa. Disertasi Doktor pada SPs UPI. Bandung: Tidak Diterbitkan. Yoo, S. (2008). Effects of Traditional and Problem Based Instruction on Conceptions of Proof and Pedagogy in Undergraduates and Prospective Mathematics Teacher, Dissertasion of The University of Texas at Austin: Tidak Dipublikasikan
ELDA HERLINA, 2015 PENINGKATAN KEMAMPUAN ADVANCED MATHEMATICAL THINKING DAN DISPOSISI BERPIKIR KREATIF MATEMATIS MAHASISWA MELALUI PENDEKATAN M-APOS Universitas Pendidikan Indonesia | repository.upi.edu | perpustakaan.upi.edu
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