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为了要培养学生自主探索、创造和批判性思维能力,教师要借助生活实例、科学实验和数学史,通过暴露学生的错误点等多个方法帮助学生在反思中学习数学概念。在定理和公式的教学中,教师要让学生思维保持批判性。在习题和作业中,引导学生反思解题思路、表述和思想方法。在复习中和测试后,引导学生从心理和知识层面反思。从知识构建的多个环节,阐述了如何培养学生的反思性学习能力。数学学科的反思性学习是对数学学习活动的反思,是对
In order to cultivate students ’ability of independent exploration, creation and critical thinking, teachers should help students to learn mathematical concepts in reflection by means of living examples, scientific experiments and history of mathematics, exposing students’ mistakes and so on. In the teaching of the theorems and formulas, the teacher should make the students think critically. In the exercises and homework, guide students to reflect on the problem-solving ideas, expressions and ways of thinking. After reviewing and testing, guide students to reflect from the psychological and intellectual level. From many aspects of knowledge construction, elaborated how to cultivate students’ reflective learning ability. Reflective learning in mathematics is a reflection on mathematics learning activities