Analisis kesulitan mahasiswa dalam pembuktian matematis pada mata kuliah analisis real

Anwar Mutaqin, Syamsuri Syamsuri, Aan Hendrayana

Abstract


This study was conducted to determine and analyze the learning obstacles of students in  constructing proof on Real Analysis course. Samples are undergraduate at Departement of Mathematics Education is being contracted Real Analysis course of two state universities, namely the University Pendidikan Indonesia (UPI) and the University of Sultan Ageng Tirtayasa (Untirta). Data were collected through structured interviews. Students are given a number of evidentiary matter then conducted interviews to determine the errors that arise when developing a mathematical proof. The results showed that student difficulties when preparing evidence are: 1) start the proof, 2) definitions and axioms, 3) the form of algebraic manipulation, 4) integrate the definitions and / or theorems in a proof structure, 5) choose the way of proof, 6) choose the theorem to construct proof, 7) construct their own examples and counter examples.


Full Text:

PDF

References


Alcock, L. dan Weber, K. (2005). Proof validation in real analysis: inferring and checking warrants. Journal of Mathematical Behavior 24, 125 - 134

Arnawa, I.M., et al. (2007). Applying The APOS Theory to Improve Students Ability to Prove in Elementary Abstract Algebra. Journal of The Indonesian Mathematical Society 13, 133 – 148.

Giannakoulias, E. et al. (2010). Studying teacher’s mathematical argumenation in the context of refuting student’s invalid claims. Journal of Mathematical Behavior 29 p. 160 – 168.

Ko, Y. Y., dan Knuth, E (2009). Undergraduate mathematics majors’ writing performance producing proofs and counterexamples about continuous functions. Journal of Mathematical Behavior 28, 68–77.

Polya, G. (1985). How to solve it A new aspect of mathematical method. New Jersey: Princeton University Press.

Moore, R.C. (1994). Making the Transition to Formal Proof. Educational Studies in Mathematics 24, 249 – 266.

NCTM. (2000). Principles and standards for school mathematics. Reston, VA: National Council of Teachers of Mathematics.

Kusnandi. (2008). Pembelajaran dengan strategi abduktive-deduktif untuk menumbuhkembangkan kemampuan membuktikan pada mahasiswa. Desertasi di UPI Bandung: Tidak diterbitkan.

Kogce, D., Aydin, M., dan Yildiz, C. (2010). The views of high school students about proof and their levels of proof (The case of Trabzon). Procedia Social and Behavioral Sciences 2, 2544–2549.

Maya, R. (2011). Pengaruh pembelajaran dengan metode moore termodifikasi terhadap pencapaian kemampuan pemahaman dan pembuktian matematik mahasiswa. Desertasi di UPI Bandung: Tidak diterbitkan.

Ko, Y. Y., dan Knuth, E (2009). Undergraduate mathematics majors’ writing performance producing proofs and counter examples about continuous functions. Journal of Mathematical Behavior 28, 68–77




DOI: http://dx.doi.org/10.48181/tirtamath.v4i1.15907

Refbacks

  • There are currently no refbacks.


Copyright (c) 2022 TIRTAMATH: Jurnal Penelitian dan Pengajaran Matematika

Ciptaan disebarluaskan di bawah Lisensi Creative Commons Atribusi 4.0 Internasional .

Tirtamath: Jurnal Penelitian dan Pengajaran Matematika. Jurnal ini diterbitkan oleh Program Studi Magister Pendidikan Matematika Universitas Sultan Ageng Tirtayasa (cetak) dan Jurnal Untirta (eprint).

Alamat Penerbit: Program Studi Magister Pendidikan Matematika Kampus FKIP Untirta Jl. Ciwaru Raya, Cipare, Kec. Serang, Kota Serang, Banten 42117Email: [email protected] |Klik untuk mengakses: Tirtamath: Jurnal Penelitian dan Pengajaran Matematika