PERBEDAAN PENALARAN FORMAL MAHASISWA PENDIDIKAN GURU MADRASAH IBTIDAIYAH DITINJAU DARI JENIS JURUSAN DI SEKOLAH MENENGAH ATAS

musrikah musrikah

Abstract


Penelitian dilatarbelakangi oleh keberagaman asal jurusan mahasiswa saat mereka di sekolah menengah atas pada mahasiswa baru Pendidikan Guru Madrasah Ibtidaiyah. Perbedaan tersebut mengakibatkan perbedaan materi ajar yang mereka dapatkan. Penelitian ini bertujuan untuk menganalisis perbedaan penalaran formal mahasiswa baru dalam  melakukan penalaran formal berdasarkan jenis jurusan di sekolah menengah. Penelitian ini merupakan penelitian uji beda 3 sampel. Sampel  penelitian adalah mahasiswa Pendidkan Guru Madrasah Ibtidaiyah semester dua IAIN Tulungagung yang belum memperoleh materi geometri sewaktu di perguruan tinggi. Instrumen yang digunakan  adalah  pilihan respon benar atau  salah  sebanyak sepuluh  item pada materi kongruensi segitiga. Data yang diperoleh dianalisis menggunakan uji  Uji Mann-Whitney  dan Uji Kruskal Wallis. Hasil penelitian menunjukkan bahwa secara bersama-sama, tidak ada perbedaan yang signifikan pada penalaran formal mahasiswa baru yang berasal dari  sekolah menengah atas  jurusan IPA, Non  IPA, dan Sekolah Menengah Kejuruan (SMK). Sedangkan secara sendiri-sendiri tampak bahwa tidak ada perbedaan penalaran formal mahasiswa dari jurusan IPA dan non-IPA, tidak ada perbedaan  penalaran formal mahasiswa dari jurusan IPA dan SMK, serta tidak ada perbedaan penalaran formal mahasiswa Non-IPA dengan SMK.

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References


Ayalon, M., & Even, R. (2008). Deductive reasoning : in the eye of the beholder. Educational Study in Mathematic, (July), 235–247. https://doi.org/10.1007/s10649-008-9136-2

Balacheff, N. (1988). Aspects of Proof in Pupil’s Practice of School Mathematics. 216–235.

Balanchef, N. (2010). Bridging Knowing and Proving in Mathematics: a Didactical Perspective, In: Explanation and Proof in Mathematics (Eds) (H. Hanna, G, Jahnke, H.N, Pulte, ed.). London: Springer.

Conner, A. M., Singletary, L. M., Smith, R. C., Wagner, P. A., & Francisco, R. T. (2014). Identifying Kinds of Reasoning in Collective Argumentation. Mathematical Thinking and Learning. https://doi.org/10.1080/10986065.2014.921131

D’Augustine, C & Smith, C. . (1992). Teaching Elementary School Mathematics. Ohio University.

Dejarnette, A. F., & González, G. (2013). Building Students’ Reasoning Skills by Promoting Student-Led Discussions in an Algebra II Class. The Mathematics Educator, 23(1), 3–23.

Dumas, D., Paterson, E. G., Alexander, P., & Baggetta, P. (2016). Individual Differences in The Process of Relational Reasoning. Learning and Instruction, 42(November 2017), 141–159. https://doi.org/10.1016/j.learninstruc.2016.01.013

Gunham, B. . (2014). A Case Study on The Investigation of Reasoning Skills in Geometry. South African Journal of Education, 34(2), 01–19.

Halat, E. (2008a). In-Service Middle and High School Mathematics Teachers : Geometric Reasoning Stages and Gender. The Mathematics Educator, 18(1), 8–14.

Halat, E. (2008b). In-Service Middle and High School Mathematics Teachers : Geometric Reasoning Stages and Gender. 18(1), 8–14.

Hanna, G & Barbeau, E. (2010). Proof as Bearers of Mathematical Knowledge, In: : Explanation and Proof in Mathematics (Eds) (H. Hanna, G, Jahnke, H.N, Pulte, ed.). London: Springer.

Hanna, G. (2014). Some Pedagogical Aspects of Proof. (March 1990). https://doi.org/10.1007/BF01809605

Heinze, A & Reiss, K. (2010). Developing Argumentation and Proof Competencies in the Mathematics Classroom, In:Teaching and Learning Proof Across The Grades: A K-16 Perspective (E. J. (Eds) Stylianou, D.A., Blanton, M.L., Knuth, ed.). New York: Routledge.

Jones, K. (1997). Student Teachers ’ Conceptions of Mathematical Proof. Mathematics Education Review, 9, 21–32.

Lopes, J., Silva, E., Oliveira, C., & Martin, N. (2017). Teacher ’ s Classroom Management Behavior and Students ’ Classroom Misbehavior : A Study with 5 th through 9 th - Grade Students. 15(43), 467–490.

Milenovic, Z. M. (2011). Application Of Mann-Whitney U Test In Research Of Professional Training Of Primary School Teachers. 6, 73–79.

Moore, R. C. (2018). Making the Transition to Formal Proof. Educational Studies in Mathematics, 27(3), 249–266.

NCTM. (2000). Principles and Standards for School Mathematics. https://doi.org/10.5897/AJMCSR11.161

Nur, A. S., & Rahman, A. (2014). Pemecahan Masalah Matematika Sebagai Sarana Mengembangkan Penalaran Formal Siswa Sekolah Menengah Pertama. Sainsmat: Jurnal Ilmiah Ilmu Pengetahuan Alam, 2(1), 84-92.

Oflaz, G., Bulut, N., & Akcakin, V. (2016). Pre-Service Classroom Teachers’ Proof Schemes in Geometry: A Case Study of Three Pre-service Teachers. Eurasian Journal of Educational Research, 63(63), 133–152. https://doi.org/10.14689/ejer.2016.63.8

Prastyaningsih, A. W. (2015). Tahap Berpikir Siswa dalam Belajar Geometri pada Pokok Bahasan Dimensi Tiga Berdasarkan Tahap Berpikir Van Hiele Ditinjau dari Kecerdasan Visual-Spasial Siswa Kelas X SMA N 1 Surakarta.

Rogers.C, & Steele.K, M. D. (2016). Graduate Teaching Assistants’ Enactment of Reasoning-and-Proving Tasks in a Content Course for Elementary Teachers. Journal for Research in Mathematics Education, 47156224(4), 372–419. https://doi.org/10.5951/jresematheduc.47.4.0372

Shaughnessy, W. F. B., & Michael, J. (2018). Characterizing the van Hiele Levels of Development in Geometry. 17(1), 31–48.

Stylianides, G. J. (2008). An analytic framework of reasoning and proving. For the Learning of Mathematics, 28, 9–16.

Tall, D & Ramos, M. (2010). The Long-Term Cognitive Development of Reasoning and Proof, In: Explanation and Proof in Mathematics (Eds) (H. Hanna, G, Jahnke, H.N, Pulte, ed.). London: Springer.

Tall, D. (2008). The Transition to Formal Thinking in Mathematics. Mathematic Education Research Journal, 20(2), 5–24.

Varghese, T. (2011). Balacheff ’ s 1988 Taxonomy of Mathematical Proofs. 7(3), 181–192.

Wu, H. (2017). The Role of Euclidean Geometry in High School The Role of Euclidean Geometry in High School. 3123(September 1996). https://doi.org/10.1016/S0732-3123(96)90002-4




DOI: https://doi.org/10.35334/judikdas%20borneo.v3i1.1773

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