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《普通高中数学课程标准(实验稿)》中提出了“自主探索”、“再创造”、“独立思考”、“反思建构”等和反思密切相关的教学理念,荷兰著名数学家和数学教育家费赖登塔尔教授指出:“反思是数学思维活动的核心和动力.”反思是数学学习中不可或缺的重要环节.反思是对自己的思维过程、思维结果进行再认识的检验过程.所谓反思性数学学习是指学生对自己已经完成的思维过程进行周密且有批判性的再思考,对已形成的数学思想、方法和知识从另一角度以另一方式进行再认识,以求得新的深入认识或提出疑问作为新的思考起点的一种数学学习方式.反思性数学学
In the Standard of High School Math Curriculum (experimental draft), teaching concepts closely related to reflection such as “self-exploration”, “re-creation”, “independent thinking”, “ Professor Feilidenthal, a famous Dutch mathematician and mathematics educator, pointed out: ”Reflection is the core and motivation of mathematical thinking activities." Reflection is an indispensable and important link in mathematics learning.Reception is a reflection on one’s own thinking process, Thinking of the re-understanding of the test process of the so-called reflective mathematics learning is that students have completed their own thinking process to conduct a careful and critical re-thinking of the mathematical ideas have been formed, methods and knowledge from another perspective to another A way to re-understanding, in order to obtain new insight or questioning as a starting point for a new way of learning mathematics. Reflective Mathematics