数学思想和方法是学生在教师指导下,在学习数学的过程中逐渐形成的有效的思想和方法,它是数学知识在更高层次上的抽象和总结。在高中数学教学中,有意识地培养学生的数学思想和方法,不仅可以高效地帮助学生提高数学学习成绩,而且可以提高学生的应考能力。在近几年的全国普通高等学校招生全国统一考试大纲中,就明确提出:“要通过数学知识的考查,来反映考生对数学思想方法的理解和掌握的程度”。因此,高中数学教师需要深刻的认识到培养学生数学思想的重要性和关键性,在平常的教学中,要有意识、有目的、有计划、有步骤的给学生灌 Mathematical thoughts and methods are effective thoughts and methods that students gradually form under the guidance of teachers and they are learning mathematics. It is a higher level abstract and summary of mathematical knowledge. In high school mathematics teaching, consciously cultivating students’ mathematical ideas and methods can not only help students to improve their maths’ academic performance efficiently, but also improve students’ ability of exams. In recent years, the national college entrance examination of national unified examination syllabus, it was clearly stated: “To pass the test of mathematical knowledge to reflect the candidates on the mathematical way of thinking and understanding of the degree.” Therefore, senior high school mathematics teachers need a profound understanding of the importance and key of cultivating students’ mathematical ideas. In normal teaching, they should consciously, purposefully, systematically and step-by-step