Akar filosofis di ruag kelas: Hubungan fondasional filsafat matematika terhadap praktik pendidikan matematika
Keywords:
philosophy of mathematics, philosophy of education , mathematics education, formalism, mathematics learningAbstract
Philosophy plays a fundamental role in the development of mathematics and mathematics education. The philosophy of mathematics serves as a reflective foundation that examines the nature of mathematical objects, sources of mathematical truth, methods of reasoning, and the logical structure of proof. Meanwhile, the philosophy of education provides a theoretical and methodological framework for designing, implementing, and evaluating mathematics learning. This article aims to analyze the foundational relationship between the philosophy of mathematics and mathematics education, with a particular focus on the formalism school of thought and its implications for classroom practice. This study employs a literature review method by examining relevant scholarly sources. The findings indicate that the dominance of extreme formalism in mathematics instruction may result in anti-didactic practices, including excessive emphasis on formal deduction and abstraction, disconnection between mathematical concepts and real-life contexts, and insufficient appreciation of students’ diversity and learning errors. Therefore, the philosophy of education plays a crucial role in guiding teachers to balance deductive approaches with inductive, creative, and contextual learning. Such a balanced integration is expected to promote more meaningful, humanistic, and relevant mathematics learning experiences for students.
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