MATHEMATICAL MATURITY STUDENTS (UNDERGRADUATE AND MASTER LEVEL) IN SOLVING GROUP THEORY AND RING THEORY QUESTIONS
Elah Nurlaelah, Dian Usdiyana, Suhendra

Mathematics Education Department
Faculty of Mathematics and Science Education
Universitas Pendidikan Indonesia
Jl. Dr. Setiabudhi No. 229 Bandung
Jawa Barat-Indonesia

Abstract

Abstract algebra (Group Theory and Ring Theory) as an essential component of the mathematical preparation of preservice teachers. Before students can take the Algebraic Structure course, students must have taken several prerequisite courses. However, even though students have taken all prerequisite courses, students still experience significant obstacles, as a result the response, understanding and achievement of learning outcomes during the learning process and the final results of these courses are still unsatisfactory. By using qualitative research methods with a case study approach, it is explored how the appearance of students (undergraduate and master levels) in solving Algebraic Structure questions (Group theory and Ring Theory). After tracing the results of student work in answering exams, it was found that both undergraduate and master^s level students were still not good (incomplete, not logically arranged according to mathematical rules) in writing formal proofs. However, students are very fluent when they have to solve computational problems.

Keywords: abstract algebra, mathematical maturity, formal proof,

Topic: Mathematics Education