ANALISIS PEMAHAMAN MAHASISWA TERHADAP PEMBUKTIAN PERNYATAAN MATEMATIIKA PADA TOPIK GRUP DENGAN MODUL BERBASIS LOGIKA PEMBUKTIAN

Defri Ahmad - Universitas Negeri Padang
Fridgo Tasman - Universitas Negeri Padang

Abstract


Abstract- Proving mathematics statement is one of important ability for undergraduate student to learn mathematics, especially in learning abstract algebra, real analysis, linear algebra, etc. More than a half of topic in group need proving ability to be mastered. In this article, students’ understanding on proving some statement related to group (abstract algebra) that has been help by using proof reasoning module is examined. Data of student responses are collected using three item test and interview. Based on the result student ability in starting answer and create proving structure has been improved. But students’ overall score still satisfied because they fail on choose some basic concept like theorem or definition to help them in proof.

 

Keyword- Proof Reasoning, Group, Proof Technique, Statement Type


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References


Baylis J and Gallian J A, 1991 Contemporary Abstract Algebra Math. Gaz. 75, 473 p. 374.

Arnawa I M Yerizon Y and Nita S, 2019 Improvement Students’ Level of Proof Ability in Abstract Algebra Trough APOS Theory Approach Int. J. Sci. Technol. Res. 8, 7.

Hazzan O, 2001 Reducing abstraction the case of constructing an operation table for a group J. Math. Behav. 20, 2.

Hazzan O, 1999 Reducing abstraction level when learning abstract algebra concepts Educ. Stud. Math. 40, 1.

Varankina V I Lubyagina E N Markov R V. Petrov A A and Shirokov D V., 2019 Computer visualization in the course “Abstract algebra” Sci. Vis. 11, 5.

Agustyaningrum N Hanggara Y Husna A Abadi A M and Mahmudii A, 2019 An analysis of students’ mathematical reasoning ability on abstract algebra course Int. J. Sci. Technol. Res. 8, 12.

Hodiyanto H, 2017 Analisis Kesalahan Mahasiswa Semester V dalam Mengerjakan Soal Pengantar Analisis Real Edu Sains J. Pendidik. Sains Mat. 5, 1.

Weber K, 2001 Student difficulty in constructing proofs: The need for strategic knowledge Educ. Stud. Math.

Powers R A Craviotto C and Grassl R M, 2010 Impact of proof validation on proof writing in abstract algebra Int. J. Math. Educ. Sci. Technol.

Kanellos I Nardi E and Biza I, 2018 Proof schemes combined: mapping secondary students’ multi-faceted and evolving first encounters with mathematical proof Math. Think. Learn.

1996 An accompaniment to higher mathematics Choice Rev. Online 34, 01.

Faizah S Nusantara T Sudirman S and Rahardi R, 2020 Exploring students’ thinking process in mathematical proof of abstract algebra based on Mason’s framework J. Educ. Gift. Young Sci. 8, 2.

Stylianides G J and Stylianides A J, 2008 Proof in School Mathematics: Insights from Psychological Research into Students’ Ability for Deductive Reasoning Math. Think. Learn.

Solomon Y, 2006 Deficit or difference? the role of students’ epistemologies of mathematics in their interactions with proof Educ. Stud. Math.

Sugilar H, 2017 DAYA MATEMATIS MAHASISWA PROGRAM STUDI PENDIDIKAN MATEMATIKA JNPM (Jurnal Nas. Pendidik. Mat.

Syamsuri S Purwanto P Subanji S and Irawati S, 2017 Using APOS Theory Framework: Why Did Students Unable To Construct a Formal Proof? Int. J. Emerg. Math. Educ.

Syafri F S, 2017 Kemampuan Representasi Matematis dan Kemampuan Pembuktian Matematika J. Pendidik. Mat.

Lestari K E, 2015 Analisis Kemampuan Pembuktian Matematis Mahasiswa Menggunakan Pendekatan Induktif-Deduktif Pada Mata Kuliah Analisis Real MENDIDIK J. Kaji. Pendidik. dan Pengajaran.

Hodiyanto H and Susiaty U D, 2018 PENINGKATAN KEMAMPUAN PEMBUKTIAN MATEMATIS MELALUI MODEL PEMBELAJARAN PROBLEM POSING MaPan.

Dubinsky E Dautermann J Leron U and Zazkis R, 1994 On learning fundamental concepts of group theory Educ. Stud. Math.

Irwansyah B, 2014 MENINGKATKAN KEMAMPUAN PEMBUKTIAN TEOREMA DAN SIKAP POSITIF MAHASISWA MELALUI PEMBELAJARAN MATEMATIKA REALISTIK PADA MATA KULIAH ANALISIS REAL Tarbawi.

Angraini L M Sundawan M D and Noto M S, 2019 Analisis Proses Berpikir Menyusun Bukti Matematis Mahasiswa Calon Guru Pada Mata Kuliah Struktur Aljabar Euclid.

Fadillah S and Jamilah J, 2016 PENGEMBANGAN BAHAN AJAR STRUKTUR ALJABAR UNTUK MENINGKATKAN KEMAMPUAN PEMBUKTIAN MATEMATIS MAHASISWA J. Cakrawala Pendidik.

Agustyaningrum N Abadi A M Sari R N and Mahmudi A, 2018 An Analysis of Students’ Error in Solving Abstract Algebra Tasks J. Phys. Conf. Ser. 1097, 1.




DOI: http://dx.doi.org/10.24036/pmat.v9i4.11083