👉 Representations in mathematics refer to the various ways in which abstract mathematical concepts, structures, or objects are expressed and visualized using symbols, equations, graphs, diagrams, and other mathematical tools. These representations serve as a bridge between the abstract and the concrete, making complex ideas more accessible and understandable. For instance, algebraic equations represent relationships between numbers and variables, geometric shapes are depicted through points, lines, and angles, and functions are visualized as curves on a graph. Different representations can provide unique insights and facilitate problem-solving, often revealing connections and patterns that might not be apparent in purely symbolic form. In essence, mathematical representations are crucial for communication, teaching, and exploring the vast landscape of mathematical theories and applications.
