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真实数学是一种发展性的数学教学,追求的是数学的前瞻效应,着眼于知识的建构能力的发展,重视的是人的发展的成果,呼唤的是统观全局的大气,是数与人的内外交融表里合一的和谐。而虚拟数学的弊端,就是用成人的思考来取代儿童的思考,而成人的思考又被专家们的设计所取代。虚拟数学是“不逾规”的数学教学,她追求的是数学的现态效应,重视的是结果,因而是一种片面的教学质量观。如何运用真实数学为学生拓宽发展的空间,开掘数学学习的宝藏?
Real mathematics is a kind of developmental mathematics teaching. It pursues the forward-looking effect of mathematics, focuses on the development of the ability of knowledge construction, and emphasizes on the achievements of human development. It calls for the overall atmosphere and the number of people The harmony between inside and outside of the table. The disadvantages of virtual mathematics, is to use adult thinking to replace children’s thinking, and adult thinking has been replaced by the design of experts. Virtual mathematics is the teaching of mathematics that “does not exceed the standard”. She is pursuing the present effect of mathematics, paying attention to the result and therefore the one-sided view of teaching quality. How to use real mathematics to broaden the development space for students to dig the treasure of mathematical learning?