THE EFFECT OF LEARNING WITH ABDUCTIVE-DEDUCTIVE STRATEGY ON HIGH SCHOOL STUDENTS’ REASONING ABILITY

Ali Shodikin

Abstract


The purpose of this research is to investigate the effect of learning with abductive-deductive strategy on the achievement of mathematical reasoning abilities of high school students. It employed the experimental pretest-posttest with non-randomized control group design to the eleventh grade students of one high school in Pati, Central Java, Indonesia. Data were collected in the form of early mathematical ability categories (EMA) and overall. The results showed that the achievement of mathematical reasoning abilities that students acquire through learning with abductive-deductive strategy was better than that of the students who received were taught with expository learning. In more detail, only students in the medium category of EMA showed better achievement in mathematical reasoning abilities. Meanwhile, students of the upper and lower categories had the same achievements in their reasoning abilities. Based on the findings of the research, it is expected that teachers can encourage students to apply abduction and deduction strategy in order to achieve in mathematical reasoning abilities.


Keywords


abductive-deductive strategy; mathematical reasoning; early mathematical ability

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References


Aliseda, A. (2007). Abductive reasoning: Challenges ahead. Theoria, 60, 261-270.

Ansjar, M., & Sembiring. (2000). Hakikat Pembelajaran MIPA dan Kiat Pembelajaran Matematika di Perguruan Tinggi. Jakarta: Directorate General of Higher Education Department.

Baig, S. & Halai, A. (2006). Learning mathematical rules with reasoning. Eurasia Journal of Mathematics, Science and Technology Education, 2, 15-39.

Chiston, C. & Papageorgiau, E. (2006). A Framework of mathematics inductive reasoning. Journal Learning and Instruction. Cyprus. Elsevier, Ltd. 17.

Dienes, Z.P. (1969). Mathematics in the Primary School. London: Macmillan and Co Ltd.

Davis, T. M. & Murrell, P. (1994). Turning Teaching into Learning: The Role of Student Responsibility in the Collegiate Experience. (Report No.EDO-HE 93-8). Washington, DC: George Washington University, School of Education and Human Development. (ERIC Document Reproduction Service No. ED 372 702).

Henningsen, M., & Stein, M.K. (1997). Mathematical tasks and student cognition: Classroom-based factors that support and inhibit high-level mathematical thinking and reasoning. Journal for Research in Mathematics Education, 28, 524-549.

John, G.A., & Thornton, C.A. (1993). Vygotsky revisited: Nurturing young children’s understanding of number. Focus on Learning Problems in Mathematics, 15, 18-28.

Kusnandi (2008). Pembelajaran matematika dengan strategi abduktif-deduktif untuk menumbuhkembangkan kemampuan membuktikan pada mahasiswa. (Unpublished Dissertation). Indonesia University of Education, Bandung.

Mayadiana, D. (2011). Mengembangkan kemampuan penalaran dan pemecahan masalah kreatif matematis mahasiswa calon guru sd melalui pembelajaran dengan pendekatan induktif. (Unpublished Dissertation). Indonesia University of Education, Bandung.

Mullis, I., Martin, M.O., Ruddock, G.J., O’Sullivan, C.Y., & Preuschoff, C. (2000). TIMMS 1999: International Mathematics Report. Boston: The International Study Boston College.

Murni, A. (2013). Peningkatan kemampuan pemecahan masalah dan representasi matematis siswa smp melalui pembelajaran metakognitif berbasis soft skill. (Unpublished Dissertation). Indonesia University of Education, Bandung.

National Council of Teachers of Mathematics (NCTM). (2000). Principles and Standards for School Mathematics. USA: NCTM.

Nizar, A. (2007). Kontribusi matematika dalam membangun daya nalar dan komunikasi siswa. Jurnal Pendidikan Inovatif. 2 (2), 74-80.

Ormrod, E.J. (2008). Psikologi pendidikan. Jakarta: Erlangga.

Rahayu, S. (2013). Kemampuan pemahaman dan penalaran matematis dalam pembelajaran inkuiri terbimbing dengan penguatan e-learning berbasis aplikasi Moodle. (Unpublished Thesis). Indonesia University of Education, Bandung.

Schuck,D.H. (1986). Verbalization and children’s self-regulated learning. Contemporary Education Pshycology, 11, 347-369.

Shodikin, A. (2013). Abductive-deductive strategy: How to apply it in improving student mathematics literacy in junior high school?. International Seminar on Mathematics, Science, and Computer Science Education. Bandung. October 19, 2013.

Sumarmo, U. (2013). Kumpulan makalah: Berpikir dan disposisi matematik serta pembelajarannya. Bandung: Indonesia University of Education.

Sun, Z., Finnie, G. & Weber, K. (2005). Abductive Case Based Reasoning. International Journal of Intelligent Systems. 20(9), 957-983.

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. (Unpublished Dissertation). Indonesia University of Education, Bandung.

Wahyudin. (1999). Kemampuan guru matematika, calon guru matematika, dan siswa dalam mata pelajaran matematika. (Unpublshed Dissertation). IKIP Bandung.




DOI: https://doi.org/10.17509/ije.v10i1.8080

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