Meningkatkan Kemampuan Penalaran Dan Disposisi Matematis Siswa SMP Melalui Pendekatan Metaphorical Thinking

Nurbaiti Widyasari; Jarnawi Afgani Dahlan; Stanley Dewanto

doi:10.23969/pjme.v4i2.2510

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Abstract

The aim of this research are examining to improve student’s mathematical reasoning and disposition by metaphorical thinking approach. The research utilized a quasi experimental design. The population in this research are students in grade eight from one of junior high school in East Jakarta. As concern, the sample was 27 students in VIII-3 class for control group, and 31 students in VIII-5 class for experiment group. The instruments comprised of mathematical reasoning test and disposition scale. The quantitative analysis is used a two-way ANOVA, while qualitative analysis used a descriptive one. The result of qualitative analysis shows the students were able to metaphors a concept and also able to make connection between concepts. Futhermore, the result of quantitative analysis shows better increasing mathematical reasoning ability by metaphorical thinking approach than by conventional teaching, while there was no different increment in mathematical disposotion between two classes. There was no interaction effect between student’s prior mathematics ability and teaching approach toward student’s mathematical reasoning and disposition.

Keywords

metaphorical thinking approach mathematical reasoning ability mathematical disposition

How to Cite

Widyasari, N., Dahlan, J. A., & Dewanto, S. (2020). Meningkatkan Kemampuan Penalaran Dan Disposisi Matematis Siswa SMP Melalui Pendekatan Metaphorical Thinking. Pasundan Journal of Mathematics Education : Jurnal Pendidikan Matematika, 4(2), 85–94. https://doi.org/10.23969/pjme.v4i2.2510

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References

Atallah, F., Bryant, S.L., Dada, R. (2006). A Research Framework for Studying Conceptions and Dispositions of Mathematics: A Dialogue to Help Students Learn. Research in Higher Education Journal. pp. 1-8.
Baroody, A.J. (1993). Problem Solving, Reasoning, and Communicating, K-8 Helping Children Think Mathematically. New York: Macmillan Publishing Company.
Bell, F.H. (1978). Teaching and Learning Mathematics (In Secondary School). Amerika: Wm. C. Brown Company Publisher.
Burney, S. M. A. (2008). Inductive & Deductive Research Approach.
[Online]Tersedia:http://www.drburney.net [20 September 2012].
BSNP. (2006). Standar Kompetensi dan Kompetensi Dasar SMP/MTs. Jakarta: Balitbang.
Dahlan, J. A. (2011). Analisis Kurikulum Matematika. Jakarta: Universitas Terbuka.
Dogan-Dunlap, H. (2007) Reasoning with Metaphors and Constructing an Understanding of The Mathematical Function Concept. Dalam Woo, J.H., Lew, H. C., Park, K. S., & Seo, D. Y. (Eds). Proceedings of the 31st Conference of the International Group for the Psychology of Mathematics Education. Vol. 2, pp. 209-216.
Ferarra, F. (2003). Bridging Perception and Theory: What Role Can Metaphors and Imagery Play?. Journal European Research In Mathematics Education. Vol. 3, pp. 1-9
Hake, R.R. (1999). Analyzing Change/Gain Scores.
[Online]Tersedia:http://www.physics.indiana.edu/~sdi/AnalyzingChange-Gain[4 November 2012].
Hendriana, H. (2009). Peningkatan Kemampuan Pemahaman dan Komunikasi Matematis Siswa Sekolah Menengah Pertama Melalui Pembelajaran dengan Menggunakan Pendekatan Methaporical Thinking. Disertasi PPs UPI. Bandung: tidak diterbitkan.
Kilic, C. (2010). Belgian and Turkish Pre-Service Primary School Mathematics Teachers’ Metaphorical Thinking about Mathematics. CERME Vol. 7 WG 11, pp 1-10.
Kilpatrick, J.,Swafford, J., & Findell, B. (Eds). (2001). Adding It Up: Helping Children Learn Mathematics. Washington, DC: National Academy Press.
Mahmudi, A. (2010). Tinjauan Asosiasi antara Kemampuan Pemecahan Masalah Matematis dan Disposisi Matematis. Disajikan pada Seminar Nasional Pendidikan UNY, 17 April 2010. Yogyakarta: FMIPA UNY
Maxwell, K. (2001). Positive Learning Dispositions in Mathematics. [Online] Tersedia:http://www.education.auckland.ac.nz/uoa/fms/default/education/docs/word/research/foed_paper/issue11/ACE_Paper_3_Issue_11.doc.[28 Januari 2013].
Ministry of Education. (2006). Mathematics Syllabus Secondary. Singapore: MOE.
Mullis, I.V.S., Ina V.S. Martin, M. O., Ruddock, G.J., O'Sullivan, C. Y., Preuschoff, C. (2009). TIMSS 2011 Assesment Frameworks. Boston: ISC.
Mullis, I.V.S., Martin, M.O., Foy P., Arora, A. (2012). TIMSS 2011 International Result in Mathematics. Netherlands: IEA.
National Council of Teacher of Mathematics (NCTM). (1989). Curriculum and Evaluation Standards for School Mathematics. Reston, VA: Authur
Nunez, R. (2000). Mathematical idea analysis: What embodied cognitive science can say about the human nature of mathematics. Proceedings of PME 24. Vol.1, pp. 3-22.
Papageorgiou, E.,Christou, C. (2007). Investigating The Processing Structures of Students’ Inductive Reasoning In Mathematics. CERME. Vol. 5, pp. 466-475.
Programme for International Students Assessment (PISA). (2009). [Online]
Tersedia: http://nces.ed.gov/surveys/pisa. [4 Oktober 2012].
Putri, F. M., (2011). Pengaruh Pembelajaran Matematika Realistik Terhadap Kemampuan Penalaran dan Koneksi Matematis Siswa SMP. Tesis PPs UPI. Bandung: tidak diterbitkan.
Schinck, A.G., Neale, H.W., Pugalee, D.K., & Cifarelli, V.V. (2008). Structures, Journeys, and Tools: Using Metaphors to Unpack Student Beliefs about Mathematics.[Online].Tersedia:http://math.unipa.it/~grim/21_project/21_charlotte_SchinckPaperEdit.pdf . [30 April 2013].
Siregar, N. (2011). Pembelajaran Geometri Melalui Model PACE Berbantuan Geogebra Sebagai Upaya Meningkatkan Kemampuan Penalaran dan Komunikasi Matematis Siswa SMP. Tesis PPs UPI. Bandung; tidak diterbitkan.
Sumarmo, U. (1987). Kemampuan Pemahaman dan Penalaran Matematika Siswa SMA Dikaitkan dengan Kemampuan Penalaran Logik Siswa dan Beberapa Unsur Proses Belajar Mengajar. Disertasi Fakultas Pasca Sarjana IKIP Bandung. Bandung: tidak diterbitkan
_________. (2012). Pendidikan Karakter serta Pengembangan Berpikir dan disposisi Matematik dalam Pembelajaran Matematika. Disajikan pada Seminar Pendidikan Matematika, 25 Februari 2012. NTT.
Wachyar, T. Y. (2012). Penerapan Pendekatan Kontekstual dengan Penggunaan Mathematical Manipulative untuk Meningkatkan Kemampuan Penalaran dan Komunikasi Matematis Siswa SMP. Tesis PPs UPI. Bandung; tidak diterbitkan.

References

Atallah, F., Bryant, S.L., Dada, R. (2006). A Research Framework for Studying Conceptions and Dispositions of Mathematics: A Dialogue to Help Students Learn. Research in Higher Education Journal. pp. 1-8.

Baroody, A.J. (1993). Problem Solving, Reasoning, and Communicating, K-8 Helping Children Think Mathematically. New York: Macmillan Publishing Company.

Bell, F.H. (1978). Teaching and Learning Mathematics (In Secondary School). Amerika: Wm. C. Brown Company Publisher.

Burney, S. M. A. (2008). Inductive & Deductive Research Approach.

[Online]Tersedia:http://www.drburney.net [20 September 2012].

BSNP. (2006). Standar Kompetensi dan Kompetensi Dasar SMP/MTs. Jakarta: Balitbang.

Dahlan, J. A. (2011). Analisis Kurikulum Matematika. Jakarta: Universitas Terbuka.

Dogan-Dunlap, H. (2007) Reasoning with Metaphors and Constructing an Understanding of The Mathematical Function Concept. Dalam Woo, J.H., Lew, H. C., Park, K. S., & Seo, D. Y. (Eds). Proceedings of the 31st Conference of the International Group for the Psychology of Mathematics Education. Vol. 2, pp. 209-216.

Ferarra, F. (2003). Bridging Perception and Theory: What Role Can Metaphors and Imagery Play?. Journal European Research In Mathematics Education. Vol. 3, pp. 1-9

Hake, R.R. (1999). Analyzing Change/Gain Scores.

[Online]Tersedia:http://www.physics.indiana.edu/~sdi/AnalyzingChange-Gain[4 November 2012].

Hendriana, H. (2009). Peningkatan Kemampuan Pemahaman dan Komunikasi Matematis Siswa Sekolah Menengah Pertama Melalui Pembelajaran dengan Menggunakan Pendekatan Methaporical Thinking. Disertasi PPs UPI. Bandung: tidak diterbitkan.

Kilic, C. (2010). Belgian and Turkish Pre-Service Primary School Mathematics Teachers’ Metaphorical Thinking about Mathematics. CERME Vol. 7 WG 11, pp 1-10.

Kilpatrick, J.,Swafford, J., & Findell, B. (Eds). (2001). Adding It Up: Helping Children Learn Mathematics. Washington, DC: National Academy Press.

Mahmudi, A. (2010). Tinjauan Asosiasi antara Kemampuan Pemecahan Masalah Matematis dan Disposisi Matematis. Disajikan pada Seminar Nasional Pendidikan UNY, 17 April 2010. Yogyakarta: FMIPA UNY

Maxwell, K. (2001). Positive Learning Dispositions in Mathematics. [Online] Tersedia:http://www.education.auckland.ac.nz/uoa/fms/default/education/docs/word/research/foed_paper/issue11/ACE_Paper_3_Issue_11.doc.[28 Januari 2013].

Ministry of Education. (2006). Mathematics Syllabus Secondary. Singapore: MOE.

Mullis, I.V.S., Ina V.S. Martin, M. O., Ruddock, G.J., O'Sullivan, C. Y., Preuschoff, C. (2009). TIMSS 2011 Assesment Frameworks. Boston: ISC.

Mullis, I.V.S., Martin, M.O., Foy P., Arora, A. (2012). TIMSS 2011 International Result in Mathematics. Netherlands: IEA.

National Council of Teacher of Mathematics (NCTM). (1989). Curriculum and Evaluation Standards for School Mathematics. Reston, VA: Authur

Nunez, R. (2000). Mathematical idea analysis: What embodied cognitive science can say about the human nature of mathematics. Proceedings of PME 24. Vol.1, pp. 3-22.

Papageorgiou, E.,Christou, C. (2007). Investigating The Processing Structures of Students’ Inductive Reasoning In Mathematics. CERME. Vol. 5, pp. 466-475.

Programme for International Students Assessment (PISA). (2009). [Online]

Tersedia: http://nces.ed.gov/surveys/pisa. [4 Oktober 2012].

Putri, F. M., (2011). Pengaruh Pembelajaran Matematika Realistik Terhadap Kemampuan Penalaran dan Koneksi Matematis Siswa SMP. Tesis PPs UPI. Bandung: tidak diterbitkan.

Schinck, A.G., Neale, H.W., Pugalee, D.K., & Cifarelli, V.V. (2008). Structures, Journeys, and Tools: Using Metaphors to Unpack Student Beliefs about Mathematics.[Online].Tersedia:http://math.unipa.it/~grim/21_project/21_charlotte_SchinckPaperEdit.pdf . [30 April 2013].

Siregar, N. (2011). Pembelajaran Geometri Melalui Model PACE Berbantuan Geogebra Sebagai Upaya Meningkatkan Kemampuan Penalaran dan Komunikasi Matematis Siswa SMP. Tesis PPs UPI. Bandung; tidak diterbitkan.

Sumarmo, U. (1987). Kemampuan Pemahaman dan Penalaran Matematika Siswa SMA Dikaitkan dengan Kemampuan Penalaran Logik Siswa dan Beberapa Unsur Proses Belajar Mengajar. Disertasi Fakultas Pasca Sarjana IKIP Bandung. Bandung: tidak diterbitkan

_________. (2012). Pendidikan Karakter serta Pengembangan Berpikir dan disposisi Matematik dalam Pembelajaran Matematika. Disajikan pada Seminar Pendidikan Matematika, 25 Februari 2012. NTT.

Wachyar, T. Y. (2012). Penerapan Pendekatan Kontekstual dengan Penggunaan Mathematical Manipulative untuk Meningkatkan Kemampuan Penalaran dan Komunikasi Matematis Siswa SMP. Tesis PPs UPI. Bandung; tidak diterbitkan.

Meningkatkan Kemampuan Penalaran Dan Disposisi Matematis Siswa SMP Melalui Pendekatan Metaphorical Thinking

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