Types of visual abstraction of abstract thinking in solving math problems

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Authors: Noviani Nur Aisyah, Muhammad Noor Kholid, Anam Sutopo, Ganno Tribuana Kurniaji, Muhammad Fauzi Hasibuan, Tri Suwarto
Cited by: 0
References: 35

Abstract

thinking is a mental process that aims to deduce results and extract abstract meanings from things and relationships through hypothetical thinking, generalization, and the ability to make assumptions and validate them. Abstract thinking is essential because it allows students to create mathematical ideas through meaningful learning rather than emphasizing memorizing or transferring concepts directly. Giving math problems that describe abstract thinking processes, namely story problems, descriptions of an event, illustrative pictures, and puzzles. This research is descriptive qualitative research. This research was conducted in a structured manner on students of the University of Muhammadiyah Surakarta, Faculty of Teacher Training and Education, Mathematics Education Study Program semesters 3, 5, and 7. The instruments of this research include the Two-Variable Linear Equation System (SELTV) story questions and audiovisual recording devices. Data collection is carried out by tests. The data was analyzed through data reduction, presentation, and conclusion drawn. This research finds a way to solve problems directly from the subject's thinking. The findings of this study are in the form of visual abstraction types of subjective thinking in solving mathematical contextual problems. Subjects with visual abstraction can visualize the relationships between known elements. Thus, the subject can solve the problem and understand what is asked in the problem by visualizing the relationship between the known elements, so that students can determine the right steps to solve the mathematical problem.

Fields of Study & Subjects

Mathematics Education and Pedagogy Cognitive and developmental aspects of mathematical skills Mathematics Education and Teaching Techniques

Publication details

Journal / source
AIP conference proceedings
Volume
3415
Pages
020075–020075
Publication date
1 January 2026
Language
EN