But if this previous experience is insufficient, or if the students are having trouble with step-by-step logical reasoning--such as understanding that if two sides of triangle are equal, then their corresponding angles are as well--then when they get to analysis required in more advanced geometry, they're going to have trouble, "says teacher Lin Chia-jung.
但如果這些具體操作的概念－－所謂前置經驗不夠，或是「學生的『局部推理』的能力－－例如三角形若為等腰三角形，兩邊長、兩角就相等… … 等邏輯反應不是很夠或是有困難，那再學習複雜度更高的幾何分析推理，就會有問題」，林佳蓉老師說。