Book

Mathematical Concepts for Islamic Elementary Schools (MI): Arithmetic, Geometry, Algebra, Mathematical Reasoning, and Basic Mathematics Learning How can mathematics be understood, learned, and taught meaningfully in Islamic elementary schools? What philosophical foundations and learning theories should prospective Madrasah Ibtidaiyah (MI) teachers master to develop students' mathematical understanding, reasoning, and problem-solving abilities? This book provides a comprehensive academic exploration of the philosophy of mathematics, educational learning theories, fundamental mathematical concepts, and pedagogical practices for Islamic elementary education. Specifically designed as a learning resource for students of the Islamic Elementary School Teacher Education Program (PGMI) at Institut Agama Islam (IAI) Dayan Lombok, this textbook connects theoretical foundations with practical applications in mathematics classrooms. Covering ten systematically organized chapters, the book explores the ontology, epistemology, and axiology of mathematics; philosophical perspectives in mathematics education; behaviorism, cognitivism, constructivism, and meaningful learning; numbers and operations; arithmetic; geometry and measurement; early algebra; mathematical reasoning; problem-solving; and the design of effective mathematics instruction. A distinctive feature of this book is its integration of Islamic values and educational perspectives into mathematics learning. Concepts such as tawhid, amanah, intellectual responsibility, discipline, and appreciation of the order of creation are connected with mathematical ideas and classroom practices. Examples from everyday experiences, Islamic architecture, geometric patterns, and local cultural contexts further enrich the learning experience. This textbook emphasizes the development of prospective teachers who can move beyond memorization and procedural instruction toward meaningful, contextual, student-centered, and reflective mathematics education. It encourages mathematical creativity, critical thinking, logical reasoning, communication, and professional responsibility.