Emphasizing the importance of a geometric and figural foundation in mathematics education, this work argues that the discipline should not be grasped merely through verbal explanations, but through the philosophy and logic of shapes found in nature and the environment. Supported by striking historical examples ranging from Al-Khwarizmi deriving algebraic formulas from geometry to the geometric structure of the atom, the study demonstrates with technical depth how complex equations can be simplified by utilizing the fundamentals of geometry. Reminding us that scientific advancements in human history have been made possible through mental visualization and the shaping of thought, the book offers an original perspective that brings the geometric principles at the core of mathematics together with modern educational needs.