The role of concept image in constructing mathematical proof

• Main Authors: Siagian, Siti Shara, Mujib, Abdul, Firmansyah
• Format: Conference Proceeding
• Language: English
• Subjects: Data analysis; Mathematical analysis; Qualitative research; Students; Theorems
• ISSN: 0094-243X; 1551-7616
• DOI: 10.1063/5.0195137

The concept of the image is essential in constructing the mathematical proof. Therefore, this study attempted to analyze students’ concept images in making mathematical proofs. The research method used in this research is qualitative research. Participants were selected using the Theoretical Sampling approach, where the taking of participants was based on concepts that were proven to be theoretically related to the theory being developed. Data analysis was obtained based on student test results, which were given to participants who were collected into a new concept, theme, and then the desired sub-category. The theory generated from this research is that students with good image concept formation can construct good mathematical proofs. The ability to build the resulting evidence, namely (1) students can relate facts with properties to interpret existing problems, (2) students can sequence valid proof steps, and (3) students can use premises, definitions, and theorems that related statements to build a proof. With the concept of the image, students can form the ability to construct evidence by interpreting the ability of cognitive structures that connect mathematical concepts, including mental images, properties, characteristics, and processes associated with predetermined concepts or sub-categories. So that the role of the student’s image concept is very important in the formation of the ability to construct mathematical proofs that can make students have good mathematical skills by understanding various concepts, theorems, and definitions and making conjectures from the statements that have been given.