The Use of Mathematical Working Space Strategies to Improve the Student Proof Process

Abstract

The proofing process in Real Analysis involves proofing skills as part of reasoning skills. Currently, the main problem is that students who are prospective mathematics teachers have difficulty in compiling mathematical evidence and considering the abstract of this course. This study aims to investigate the extent to which students master the concept of mathematical proof. Adopt a mixed method with embedded strategies and concurrent research design, using experiments. Participants are students at private universities in the northern coastal area of western Central Java, Indonesia who are taking the Real Analysis course. Precisely in Tegal City and Brebes Regency in the 2022/2023 academic year.  Initial ability tests were conducted on the participants, and the results were homogeneous. During the research, students of Tegal city used the Guided Discovery Learning model with the help of worksheets discussion materials with the Mathematics Workspace strategy. Based on the results of several assignments, post-tests, and interviews show a very satisfactory overall implementation rate in the experimental class with high adoption.  In the future, this research can be focused on the development of evidentiary problems to improve the quality of evidentiary capabilities and investigate obstacles in studying evidentiary problems. Finally, this research contributes to the effective teaching of Real Analysis by providing insights into evidentiary problems easy to learn.