初做数学教师的人 ,几乎都被告诫过“若想给学生一杯水 ,教师先得有一桶水” .许多青年教师都曾尽力去研习数学 .后来并未见到预期的效力 ,就会觉得“‘一桶水’的法则 ,无济于教育实践” .事实并非如此 .关键在于如何理解那“一桶水”的内涵 .在这一桶水中 ,近现代数学理论固 Most of the early mathematics teachers had been accused of “If a student wanted to give a glass of water, the teacher first had a bucket of water.” Many young teachers have tried their best to study mathematics. Later they did not see the expected effect. “The law of ’a bucket of water’ is not conducive to educational practice.” This is not the case. The key lies in how to understand the meaning of “a bucket of water”. In this bucket of water, the modern mathematical theory is solid.