👉 Mathematics unfolds through several key stages, starting with
concrete exploration
, where students use physical objects (e.g., blocks, counters) to grasp basic concepts like numbers and operations. Next,
pictorial representation
introduces visual aids (diagrams, charts) to connect abstract ideas to tangible examples. This evolves into
abstract symbol manipulation
, where students transition from concrete tools to symbols (numbers, variables) and equations. Finally,
formal reasoning
emphasizes logical proofs, theorems, and problem-solving strategies, bridging intuition with rigorous mathematical language. These stages build sequentially, ensuring a deep, interconnected understanding of math.
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